LLMsForHepth/hep-th_primary · Datasets at Hugging Face

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2205.12835	Sota Sato	Toshifumi Noumi, Sota Sato, Junsei Tokuda	Phenomenological Motivation for Gravitational Positivity Bounds: A Case Study of Dark Sector Physics	7 pages, 1 figure, v2: matches the version to appear in PRD	null	null	KOBE-COSMO-22-5	hep-th astro-ph.CO gr-qc hep-ph	http://creativecommons.org/licenses/by/4.0/	Positivity bounds on scattering amplitudes provide a necessary condition for a low-energy effective field theory to have a consistent ultraviolet completion. Their extension to gravity theories has been studied in the past years aiming at application to the swampland program, showing that positivity bounds hold at least approximately even in the presence of gravity. An issue in this context is how much negativity is allowed for a given scattering process. In this paper we address importance of this rather technical issue by demonstrating that it is relevant to physics within the scope of ongoing experiments, especially in the context of dark sector physics. In particular, we provide detailed analysis of dark photon scenarios as an illustrative example. This motivates further studies on gravitational positivity bounds.	[ { "created": "Wed, 25 May 2022 15:03:30 GMT", "version": "v1" }, { "created": "Wed, 23 Aug 2023 06:35:22 GMT", "version": "v2" } ]	2023-08-24	[ [ "Noumi", "Toshifumi", "" ], [ "Sato", "Sota", "" ], [ "Tokuda", "Junsei", "" ] ]	Positivity bounds on scattering amplitudes provide a necessary condition for a low-energy effective field theory to have a consistent ultraviolet completion. Their extension to gravity theories has been studied in the past years aiming at application to the swampland program, showing that positivity bounds hold at least approximately even in the presence of gravity. An issue in this context is how much negativity is allowed for a given scattering process. In this paper we address importance of this rather technical issue by demonstrating that it is relevant to physics within the scope of ongoing experiments, especially in the context of dark sector physics. In particular, we provide detailed analysis of dark photon scenarios as an illustrative example. This motivates further studies on gravitational positivity bounds.
0706.1875	Lorenzo Salcedo L.	L.L. Salcedo	Derivative expansion of the heat kernel in curved space	11 pages, no figures. Discussion added at the end of section II about the nature of the derivative expansion. To appear in Phys.Rev.D	Phys.Rev.D76:044009,2007	10.1103/PhysRevD.76.044009	null	hep-th gr-qc	null	The heat kernel in curved space-time is computed to fourth order in a strict expansion in the number of covariant derivatives. The computation is made for arbitrary non abelian gauge and scalar fields and for the Riemann connection in the coordinate sector. The expressions obtained hold for arbitrary tensor representations of the matter field. Complete results are presented for the diagonal matrix elements and for the trace of the heat kernel operator. In addition, Chan's formula is extended to curved space-time. As a byproduct, the bosonic effective action is also obtained to fourth order.	[ { "created": "Wed, 13 Jun 2007 11:18:58 GMT", "version": "v1" }, { "created": "Mon, 2 Jul 2007 10:33:50 GMT", "version": "v2" } ]	2008-11-26	[ [ "Salcedo", "L. L.", "" ] ]	The heat kernel in curved space-time is computed to fourth order in a strict expansion in the number of covariant derivatives. The computation is made for arbitrary non abelian gauge and scalar fields and for the Riemann connection in the coordinate sector. The expressions obtained hold for arbitrary tensor representations of the matter field. Complete results are presented for the diagonal matrix elements and for the trace of the heat kernel operator. In addition, Chan's formula is extended to curved space-time. As a byproduct, the bosonic effective action is also obtained to fourth order.
hep-th/0306003	Liu Zhao	Liu Zhao, Wangyun Liu	Higher Toda Mechanics and Spectral Curves	22 pages	Commun.Theor.Phys. 42 (2004) 9-18	10.1088/0253-6102/42/1/9	null	hep-th	null	For each one of the Lie algebras $\mathfrak{gl}_{n}$ and $\widetilde {\mathfrak{gl}}_{n}$, we constructed a family of integrable generalizations of the Toda chains characterized by two integers $m_{+}$ and $m_{-}$. The Lax matrices and the equations of motion are given explicitly, and the integrals of motion can be calculated in terms of the trace of powers of the Lax matrix $L$. For the case of $m_{+}=m_{-}$, we find a symmetric reduction for each generalized Toda chain we found, and the solution to the initial value problems of the reduced systems is outlined. We also studied the spectral curves of the periodic $(m_{+},m_{-})$-Toda chains, which turns out to be very different for different pairs of $m_{+}$ and $m_{-}$. Finally we also obtained the nonabelian generalizations of the $(m_{+},m_{-})$-Toda chains in explicit form.	[ { "created": "Sun, 1 Jun 2003 13:50:14 GMT", "version": "v1" } ]	2018-01-17	[ [ "Zhao", "Liu", "" ], [ "Liu", "Wangyun", "" ] ]	For each one of the Lie algebras $\mathfrak{gl}_{n}$ and $\widetilde {\mathfrak{gl}}_{n}$, we constructed a family of integrable generalizations of the Toda chains characterized by two integers $m_{+}$ and $m_{-}$. The Lax matrices and the equations of motion are given explicitly, and the integrals of motion can be calculated in terms of the trace of powers of the Lax matrix $L$. For the case of $m_{+}=m_{-}$, we find a symmetric reduction for each generalized Toda chain we found, and the solution to the initial value problems of the reduced systems is outlined. We also studied the spectral curves of the periodic $(m_{+},m_{-})$-Toda chains, which turns out to be very different for different pairs of $m_{+}$ and $m_{-}$. Finally we also obtained the nonabelian generalizations of the $(m_{+},m_{-})$-Toda chains in explicit form.
1307.3106	Miguel Vazquez-Mozo	Henrik Johansson, Agustin Sabio Vera, Eduardo Serna Campillo, Miguel A. Vazquez-Mozo	Color-Kinematics Duality in Multi-Regge Kinematics and Dimensional Reduction	16 pages, 1 figure; v2 minor changes, typos corrected. It matches the version published in JHEP	JHEP 1310 (2013) 215	10.1007/JHEP10(2013)215	CERN-PH-TH/2013-162	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	In this note we study the applicability of the color-kinematics duality to the scattering of two distinguishable scalar matter particles with gluon emission in QCD, or graviton emission in Einstein gravity. Previous analysis suggested that direct use of the Bern-Carrasco-Johansson double-copy prescription to matter amplitudes does not reproduce the gravitational amplitude in multi-Regge kinematics. This situation, however, can be avoided by extensions to the gauge theory, while maintaning the same Regge limit. Here we present two examples of these extensions: the introduction of a scalar contact interaction and the relaxation of the distinguishability of the scalars. In both cases new diagrams allow for a full reconstruction of the correct Regge limit on the gravitational side. Both modifications correspond to theories obtained by dimensional reduction from higher-dimensional gauge theories.	[ { "created": "Thu, 11 Jul 2013 13:35:35 GMT", "version": "v1" }, { "created": "Mon, 4 Nov 2013 12:00:29 GMT", "version": "v2" } ]	2013-11-05	[ [ "Johansson", "Henrik", "" ], [ "Vera", "Agustin Sabio", "" ], [ "Campillo", "Eduardo Serna", "" ], [ "Vazquez-Mozo", "Miguel A.", "" ] ]	In this note we study the applicability of the color-kinematics duality to the scattering of two distinguishable scalar matter particles with gluon emission in QCD, or graviton emission in Einstein gravity. Previous analysis suggested that direct use of the Bern-Carrasco-Johansson double-copy prescription to matter amplitudes does not reproduce the gravitational amplitude in multi-Regge kinematics. This situation, however, can be avoided by extensions to the gauge theory, while maintaning the same Regge limit. Here we present two examples of these extensions: the introduction of a scalar contact interaction and the relaxation of the distinguishability of the scalars. In both cases new diagrams allow for a full reconstruction of the correct Regge limit on the gravitational side. Both modifications correspond to theories obtained by dimensional reduction from higher-dimensional gauge theories.
1601.01310	Simone Giombi	Simone Giombi, Vladimir Kirilin	Anomalous dimensions in CFT with weakly broken higher spin symmetry	39 pages, 1 figure. v2: minor corrections	null	10.1007/JHEP11(2016)068	PUPT-2495	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	In a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the classical non-conservation equations. We apply this method to the explicit example of $O(N)$ invariant scalar field theories in various dimensions, including the large $N$ critical $O(N)$ model in general $d$, the Wilson-Fisher fixed point in $d=4-\epsilon$, cubic scalar models in $d=6-\epsilon$ and the nonlinear sigma model in $d=2+\epsilon$. Using information from the $d=4-\epsilon$ and $d=2+\epsilon$ expansions, we obtain some estimates for the dimensions of the higher spin operators in the critical 3d $O(N)$ models for a few low values of $N$ and spin.	[ { "created": "Wed, 6 Jan 2016 20:53:14 GMT", "version": "v1" }, { "created": "Wed, 27 Jan 2016 16:48:54 GMT", "version": "v2" } ]	2016-12-21	[ [ "Giombi", "Simone", "" ], [ "Kirilin", "Vladimir", "" ] ]	In a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the classical non-conservation equations. We apply this method to the explicit example of $O(N)$ invariant scalar field theories in various dimensions, including the large $N$ critical $O(N)$ model in general $d$, the Wilson-Fisher fixed point in $d=4-\epsilon$, cubic scalar models in $d=6-\epsilon$ and the nonlinear sigma model in $d=2+\epsilon$. Using information from the $d=4-\epsilon$ and $d=2+\epsilon$ expansions, we obtain some estimates for the dimensions of the higher spin operators in the critical 3d $O(N)$ models for a few low values of $N$ and spin.
hep-th/0307270	Kei-Ichi Kondo	K.-I. Kondo (Chiba Univ.)	Vacuum condensates, effective gluon mass and color confinement in a new reformulation of QCD	39 pages, 8 figures, revison of sec.3 and addition of sec.2.4 and more references, and numerous minor changes	null	null	CHIBA-EP-141	hep-th hep-ph	null	We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the possible applications such as dynamical gluon mass generation, color confinement and glueball mass calculation. Moreover, we set up a new $1/N_c$ color expansion in the $SU(N_c)$ Yang-Mills theory based on this reformulation. In fact, we give the Feynman rules of the $1/N_c$ expansion in the manifestly Lorentz covariant gauge. The Yang-Mills theory is defined on a non-trivial vacuum where color--singlet transverse gluon pair condensations take place by the attractive gluonic self-interactions. This vacuum condensation provides a common non-vanishing mass for all the gluons with color symmetry being preserved. It is shown that the auxiliary fields become dynamical by acquiring the kinetic term due to quantum corrections. Then the static potential between a pair of color charges is derived as a combination of the Yukawa-type potential and the linear potential with non-vanishing string tension. The mass of the lightest scalar glueball is calculated as the ratio to the gluon mass. The explicit calculations are performed as a partial resummation of the leading order diagrams for the small 't Hooft coupling.	[ { "created": "Mon, 28 Jul 2003 09:48:17 GMT", "version": "v1" }, { "created": "Wed, 5 Nov 2003 02:44:49 GMT", "version": "v2" } ]	2007-05-23	[ [ "Kondo", "K. -I.", "", "Chiba Univ." ] ]	We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the possible applications such as dynamical gluon mass generation, color confinement and glueball mass calculation. Moreover, we set up a new $1/N_c$ color expansion in the $SU(N_c)$ Yang-Mills theory based on this reformulation. In fact, we give the Feynman rules of the $1/N_c$ expansion in the manifestly Lorentz covariant gauge. The Yang-Mills theory is defined on a non-trivial vacuum where color--singlet transverse gluon pair condensations take place by the attractive gluonic self-interactions. This vacuum condensation provides a common non-vanishing mass for all the gluons with color symmetry being preserved. It is shown that the auxiliary fields become dynamical by acquiring the kinetic term due to quantum corrections. Then the static potential between a pair of color charges is derived as a combination of the Yukawa-type potential and the linear potential with non-vanishing string tension. The mass of the lightest scalar glueball is calculated as the ratio to the gluon mass. The explicit calculations are performed as a partial resummation of the leading order diagrams for the small 't Hooft coupling.
1505.05053	Kazunobu Maruyoshi	Amihay Hanany and Kazunobu Maruyoshi	Chiral theories of class S	33 pages, 20 figures; v2: a discussion on the central charges in the case with U(1) curvatures in section 5.2 is corrected	null	10.1007/JHEP12(2015)080	IMPERIAL-TP-15-AH-02	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We study a class of four-dimensional N=1 superconformal field theories obtained from the six-dimensional (1,0) theory, on M5-branes on C^2/Z_k orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge theories whose matter contents are chiral. We classify the building blocks associated to pairs-of-pants, and study the gauging of them as the gluing of punctures. The Riemann surface picture makes the duality invariance of the resulting quiver theories manifest: the theories associated to the same Riemann surface flow to the same nontrivial infrared fixed point. We explicitly check this from the 't Hooft anomalies of the global symmetries and central charges.	[ { "created": "Tue, 19 May 2015 15:44:21 GMT", "version": "v1" }, { "created": "Thu, 1 Oct 2015 16:57:43 GMT", "version": "v2" } ]	2016-01-27	[ [ "Hanany", "Amihay", "" ], [ "Maruyoshi", "Kazunobu", "" ] ]	We study a class of four-dimensional N=1 superconformal field theories obtained from the six-dimensional (1,0) theory, on M5-branes on C^2/Z_k orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge theories whose matter contents are chiral. We classify the building blocks associated to pairs-of-pants, and study the gauging of them as the gluing of punctures. The Riemann surface picture makes the duality invariance of the resulting quiver theories manifest: the theories associated to the same Riemann surface flow to the same nontrivial infrared fixed point. We explicitly check this from the 't Hooft anomalies of the global symmetries and central charges.
2003.13527	Jan Ambjorn	Jan Ambjorn and Yoshiyuki Watabiki	Models of the Universe based on Jordan algebras	61 pages, 6 figures	null	10.1016/j.nuclphysb.2020.115044	null	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We propose a model for the universe based on Jordan algebras. The action consists of cubic terms with coefficients being the structure constants of a Jordan algebra. Coupling constants only enter the theory via symmetry breaking which also selects a physical vacuum. "Before" the symmetry breaking the universe is in a pre-geometric state where it makes no sense to talk about space or time, but time comes into existence with the symmetry breaking together with a Hamiltonian which can create space from "nothing" and in some cases can propagate the space to macroscopic size in a finite time. There exists symmetry breaking which results in macroscopic spacetime dimensions 3, 4, 6 and 10, based on the Jordan algebras of Hermitian 3x3 matrices with real, complex, quarternion and octonion entries,respectively.	[ { "created": "Mon, 30 Mar 2020 14:57:06 GMT", "version": "v1" } ]	2020-06-24	[ [ "Ambjorn", "Jan", "" ], [ "Watabiki", "Yoshiyuki", "" ] ]	We propose a model for the universe based on Jordan algebras. The action consists of cubic terms with coefficients being the structure constants of a Jordan algebra. Coupling constants only enter the theory via symmetry breaking which also selects a physical vacuum. "Before" the symmetry breaking the universe is in a pre-geometric state where it makes no sense to talk about space or time, but time comes into existence with the symmetry breaking together with a Hamiltonian which can create space from "nothing" and in some cases can propagate the space to macroscopic size in a finite time. There exists symmetry breaking which results in macroscopic spacetime dimensions 3, 4, 6 and 10, based on the Jordan algebras of Hermitian 3x3 matrices with real, complex, quarternion and octonion entries,respectively.
1103.5326	Kunihito Uzawa	Masato Minamitsuji, Kunihito Uzawa	Warped de Sitter compactifications	25 pages, 2 figures; v3: references added	JHEP 1201:142,2012	10.1007/JHEP01(2012)142	null	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We show that the warped de Sitter compactifications are possible under certain conditions in D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that the solutions of field equations give de Sitter spacetime with the warped structure, and discuss cosmological models directly obtained from these solutions. We also construct a cosmological model in the lower-dimensional effective theory. If there is a field strength having non-vanishing components along the internal space, the moduli can be fixed at the minimum of the effective potential where a de Sitter vacuum can be obtained.	[ { "created": "Mon, 28 Mar 2011 10:56:53 GMT", "version": "v1" }, { "created": "Thu, 26 Jan 2012 10:43:46 GMT", "version": "v2" }, { "created": "Fri, 27 Jan 2012 10:59:48 GMT", "version": "v3" } ]	2015-05-27	[ [ "Minamitsuji", "Masato", "" ], [ "Uzawa", "Kunihito", "" ] ]	We show that the warped de Sitter compactifications are possible under certain conditions in D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that the solutions of field equations give de Sitter spacetime with the warped structure, and discuss cosmological models directly obtained from these solutions. We also construct a cosmological model in the lower-dimensional effective theory. If there is a field strength having non-vanishing components along the internal space, the moduli can be fixed at the minimum of the effective potential where a de Sitter vacuum can be obtained.
2107.09342	Subir Ghosh	Joydeep Majhi (ISI, Kolkata), Subir Ghosh (ISI, Kolkata)	Uncertainty Relations for the Relativistic Jackiw-Nair Anyon: A First Principles Derivation	7 pages, 5 figures; title changed, change in presentation, no channge in final results and conclusions, accepted in EPL	null	10.1209/0295-5075/ad0670	null	hep-th cond-mat.other math-ph math.MP quant-ph	http://creativecommons.org/licenses/by/4.0/	In this paper we have explicitly computed the $position-position$ and $position-momentum$ (Heisenberg) Uncertainty Relations for the model of relativistic particles with arbitrary spin, proposed by Jackiw and Nair ref.[1] as a model for Anyon, in a purely quantum mechanical framework. This supports (via Schwarz inequality) the conjecture that anyons live in a 2-dimensional \textit{noncommutative} space. We have computed the non-trivial uncertainty relation between anyon coordinates, ${\sqrt{\Delta x^2\Delta y^2}}=\hbar\bar{\Theta}_{xy}$, using the recently constructed anyon wave function ref.[6], in the framework of ref.[7]. We also compute the Heisenberg (position-momentum) uncertainty relation for anyons. Lastly we show that the identical \textit{formalism} when applied to electrons, yield a trivial position uncertainty relation, consistent with their living in a 3-dimensional commutative space.	[ { "created": "Tue, 20 Jul 2021 08:57:17 GMT", "version": "v1" }, { "created": "Mon, 30 Oct 2023 07:54:32 GMT", "version": "v2" } ]	2023-10-31	[ [ "Majhi", "Joydeep", "", "ISI, Kolkata" ], [ "Ghosh", "Subir", "", "ISI, Kolkata" ] ]	In this paper we have explicitly computed the $position-position$ and $position-momentum$ (Heisenberg) Uncertainty Relations for the model of relativistic particles with arbitrary spin, proposed by Jackiw and Nair ref.[1] as a model for Anyon, in a purely quantum mechanical framework. This supports (via Schwarz inequality) the conjecture that anyons live in a 2-dimensional \textit{noncommutative} space. We have computed the non-trivial uncertainty relation between anyon coordinates, ${\sqrt{\Delta x^2\Delta y^2}}=\hbar\bar{\Theta}_{xy}$, using the recently constructed anyon wave function ref.[6], in the framework of ref.[7]. We also compute the Heisenberg (position-momentum) uncertainty relation for anyons. Lastly we show that the identical \textit{formalism} when applied to electrons, yield a trivial position uncertainty relation, consistent with their living in a 3-dimensional commutative space.
hep-th/9511080	M. B. Green	Gary W. Gibbons, Michael B. Green and Malcolm J. Perry	Instantons and seven-branes in type IIB superstring theory	PHYZZX macros. 13 pages. Final version as it will appear in Phys. Lett. B (typos corrected)	Phys.Lett.B370:37-44,1996	10.1016/0370-2693(95)01565-5	DAMTP/R95-56	hep-th	null	Instanton and seven-brane solutions of type IIB supergravity carrying charges in the Ramond-Ramond sector are constructed. The singular seven-brane has a quantized \RR \ \lq magnetic' charge whereas its dual is the instanton, which is non-singular in the string frame and has an associated {\it global} \lq electric' charge. The product of these charges is constrained by a Dirac quantization condition. The instanton has the form of a space-time wormhole in the string frame, and is responsible for the non-conservation of the Noether current.	[ { "created": "Mon, 13 Nov 1995 00:37:00 GMT", "version": "v1" }, { "created": "Sun, 19 Nov 1995 17:57:25 GMT", "version": "v2" }, { "created": "Mon, 15 Jan 1996 14:05:53 GMT", "version": "v3" } ]	2009-10-07	[ [ "Gibbons", "Gary W.", "" ], [ "Green", "Michael B.", "" ], [ "Perry", "Malcolm J.", "" ] ]	Instanton and seven-brane solutions of type IIB supergravity carrying charges in the Ramond-Ramond sector are constructed. The singular seven-brane has a quantized \RR \ \lq magnetic' charge whereas its dual is the instanton, which is non-singular in the string frame and has an associated {\it global} \lq electric' charge. The product of these charges is constrained by a Dirac quantization condition. The instanton has the form of a space-time wormhole in the string frame, and is responsible for the non-conservation of the Noether current.
hep-th/0204231	Hong Lu	H. Lu	New G_2 metric, D6-branes and Lattice Universe	Latex, 8 pages	Nucl.Phys. B642 (2002) 173-180	10.1016/S0550-3213(02)00619-3	null	hep-th	null	We construct a new (singular) cohomogeneity-three metric of G_2 holonomy. The solution can be viewed as a triple intersection of smeared Taub-NUTs. The metric comprises three non-compact radial-type coordinates, with the principal orbits being a T^3 bundle over S^1. We consider an M-theory vacuum (Minkowski)_4\times M_7 where M_7 is the G_2 manifold. Upon reduction on a circle in the T^3, we obtain the intersection of a D6-brane, a Taub-NUT and a 6-brane with R-R 2-form flux. Reducing the solution instead on the base space S^1, we obtain three intersecting 6-branes all carrying R-R 2-form flux. These two configurations can be viewed as a classical flop in the type IIA string theory. After reducing on the full principal orbits and the spatial world-volume, we obtain a four-dimensional metric describing a lattice universe, in which the three non-compact coordinates of the G_2 manifold are identified with the spatial coordinates of our universe.	[ { "created": "Mon, 29 Apr 2002 13:35:58 GMT", "version": "v1" }, { "created": "Tue, 7 May 2002 14:19:59 GMT", "version": "v2" } ]	2010-04-05	[ [ "Lu", "H.", "" ] ]	We construct a new (singular) cohomogeneity-three metric of G_2 holonomy. The solution can be viewed as a triple intersection of smeared Taub-NUTs. The metric comprises three non-compact radial-type coordinates, with the principal orbits being a T^3 bundle over S^1. We consider an M-theory vacuum (Minkowski)_4\times M_7 where M_7 is the G_2 manifold. Upon reduction on a circle in the T^3, we obtain the intersection of a D6-brane, a Taub-NUT and a 6-brane with R-R 2-form flux. Reducing the solution instead on the base space S^1, we obtain three intersecting 6-branes all carrying R-R 2-form flux. These two configurations can be viewed as a classical flop in the type IIA string theory. After reducing on the full principal orbits and the spatial world-volume, we obtain a four-dimensional metric describing a lattice universe, in which the three non-compact coordinates of the G_2 manifold are identified with the spatial coordinates of our universe.
1512.06901	Zoltan Bajnok	Z. Bajnok and M. Lajer	Truncated Hilbert space approach to the 2d $\phi^{4}$ theory	pdflatex, 35 pages with 29 pdf figures. Binary program is also attached, run on linux as: phi4 config.dat, v2: typos corrected, comparison to other works and references added, vacuum splitting analysis corrected, comparison to sine-Gordon TCSA added, v3: improved numerics, analysis on excited kink added, critical point investigated	null	10.1007/JHEP10(2016)050	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We apply the massive analogue of the truncated conformal space approach to study the two dimensional $\phi^{4}$ theory in finite volume. We focus on the broken phase and determine the finite size spectrum of the model numerically. We interpret the results in terms of the Bethe-Yang spectrum, from which we extract the infinite volume masses and scattering matrices for various couplings. We compare these results against semiclassical analysis and perturbation theory. We also analyze the critical point of the model and confirm that it is in the Ising universality class.	[ { "created": "Mon, 21 Dec 2015 22:51:00 GMT", "version": "v1" }, { "created": "Sun, 17 Jan 2016 22:35:55 GMT", "version": "v2" }, { "created": "Thu, 23 Jun 2016 08:14:33 GMT", "version": "v3" } ]	2016-11-23	[ [ "Bajnok", "Z.", "" ], [ "Lajer", "M.", "" ] ]	We apply the massive analogue of the truncated conformal space approach to study the two dimensional $\phi^{4}$ theory in finite volume. We focus on the broken phase and determine the finite size spectrum of the model numerically. We interpret the results in terms of the Bethe-Yang spectrum, from which we extract the infinite volume masses and scattering matrices for various couplings. We compare these results against semiclassical analysis and perturbation theory. We also analyze the critical point of the model and confirm that it is in the Ising universality class.
hep-th/0701094	Alex Bernardini	Alex E. Bernardini and Roldao da Rocha	Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems	22 pages	Phys. Rev. D75 (2007) 065014	10.1103/PhysRevD.75.065014	null	hep-th	null	We work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models invariant under the corresponding deformed symmetries are presented with particular emphasis on deformed dilatation transformations. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided in order to preserve the Lorentz algebra. Two distinct cases are considered: a deformed dilatation transformation with a spacelike preferred direction and a very special relativity embedding with a lightlike preferred direction. In both analysis we consider the possibility of introducing quantum deformations of the corresponding symmetries such that the spacetime coordinates can be reconstructed and the particular form of the real space-momentum commutator remains covariant. Eventually feasible experiments, for which Lorentz violating effects here pointed out may be detectable, are suggested.	[ { "created": "Wed, 10 Jan 2007 16:56:29 GMT", "version": "v1" }, { "created": "Fri, 23 Feb 2007 21:28:09 GMT", "version": "v2" } ]	2009-11-10	[ [ "Bernardini", "Alex E.", "" ], [ "da Rocha", "Roldao", "" ] ]	We work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models invariant under the corresponding deformed symmetries are presented with particular emphasis on deformed dilatation transformations. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided in order to preserve the Lorentz algebra. Two distinct cases are considered: a deformed dilatation transformation with a spacelike preferred direction and a very special relativity embedding with a lightlike preferred direction. In both analysis we consider the possibility of introducing quantum deformations of the corresponding symmetries such that the spacetime coordinates can be reconstructed and the particular form of the real space-momentum commutator remains covariant. Eventually feasible experiments, for which Lorentz violating effects here pointed out may be detectable, are suggested.
hep-th/9609156	null	A. de Souza Dutra	Strong-Weak Coupling Duality in Quantum Mechanics	6 pages, Plain Latex	null	null	null	hep-th	null	We present a strong-weak coupling duality for quantum mechanical potentials. Similarly to what happens in quantum field theory, it relates two problems with inverse couplings, leading to a mapping of the strong coupling regime into the weak one, giving information from the nonperturbative region of the parameters space. It can be used to solve exactly power-type potentials and to extract deep information about the energy spectra of polynomial ones.	[ { "created": "Wed, 18 Sep 1996 12:05:29 GMT", "version": "v1" } ]	2007-05-23	[ [ "Dutra", "A. de Souza", "" ] ]	We present a strong-weak coupling duality for quantum mechanical potentials. Similarly to what happens in quantum field theory, it relates two problems with inverse couplings, leading to a mapping of the strong coupling regime into the weak one, giving information from the nonperturbative region of the parameters space. It can be used to solve exactly power-type potentials and to extract deep information about the energy spectra of polynomial ones.
hep-th/0111003	Thomas Branson	Thomas Branson and A. Rod Gover	Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds	30 pages, LaTeX	Differ.Geom.Appl. 17 (2001) 229-249	null	null	hep-th	null	On Riemannian signature conformal 4-manifolds we give a conformally invariant extension of the Maxwell operator on 1-forms. We show the extension is in an appropriate sense injectively elliptic, and recovers the invariant gauge operator of Eastwood and Singer. The extension has a natural compatibility with the de Rham complex and we prove that, given a certain restriction, its conformally invariant null space is isomorphic to the first de Rham cohomology. General machinery for extending this construction is developed and as a second application we describe an elliptic extension of a natural operator on perturbations of conformal structure. This operator is closely linked to a natural sequence of invariant operators that we construct explictly. In the conformally flat setting this yields a complex known as the conformal deformation complex and for this we describe a conformally invariant Hodge theory which parallels the de Rham result.	[ { "created": "Wed, 31 Oct 2001 21:25:26 GMT", "version": "v1" } ]	2007-05-23	[ [ "Branson", "Thomas", "" ], [ "Gover", "A. Rod", "" ] ]	On Riemannian signature conformal 4-manifolds we give a conformally invariant extension of the Maxwell operator on 1-forms. We show the extension is in an appropriate sense injectively elliptic, and recovers the invariant gauge operator of Eastwood and Singer. The extension has a natural compatibility with the de Rham complex and we prove that, given a certain restriction, its conformally invariant null space is isomorphic to the first de Rham cohomology. General machinery for extending this construction is developed and as a second application we describe an elliptic extension of a natural operator on perturbations of conformal structure. This operator is closely linked to a natural sequence of invariant operators that we construct explictly. In the conformally flat setting this yields a complex known as the conformal deformation complex and for this we describe a conformally invariant Hodge theory which parallels the de Rham result.
2303.03421	Vladimir Rosenhaus	Xu-Yao Hu and Vladimir Rosenhaus	Random coupling model of turbulence as a classical Sachdev-Ye-Kitaev model	16 pages, v2	Phys. Rev. E, 108, no.5, 054132 (2023)	10.1103/PhysRevE.108.054132	null	hep-th cond-mat.str-el nlin.CD physics.flu-dyn	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We point out that a classical analog of the Sachdev-Ye-Kitaev model -- a solvable model of quantum many-body chaos, was studied long ago in the turbulence literature. Motivated by the Navier-Stokes equation in the turbulent regime and the nonlinear Schr\"odinger equation describing plasma turbulence, in which there is mixing between many different modes, the random coupling model has a Gaussian-random coupling between any four of a large number $N$ of modes. The model was solved in the 1960s, before the introduction of large $N$ path integral techniques, using a method referred to as the direct interaction approximation. We use the path integral to derive the effective action for the model. The large-$N$ saddle gives an integral equation for the two-point function, which is very similar to the corresponding equation in the SYK model. The connection between the SYK model and the random coupling model may, on the one hand, provide new physical contexts in which to realize the SYK model and, on the other hand, suggest new models of turbulence and techniques for studying them.	[ { "created": "Mon, 6 Mar 2023 19:00:07 GMT", "version": "v1" }, { "created": "Sun, 14 Jan 2024 17:00:57 GMT", "version": "v2" } ]	2024-01-17	[ [ "Hu", "Xu-Yao", "" ], [ "Rosenhaus", "Vladimir", "" ] ]	We point out that a classical analog of the Sachdev-Ye-Kitaev model -- a solvable model of quantum many-body chaos, was studied long ago in the turbulence literature. Motivated by the Navier-Stokes equation in the turbulent regime and the nonlinear Schr\"odinger equation describing plasma turbulence, in which there is mixing between many different modes, the random coupling model has a Gaussian-random coupling between any four of a large number $N$ of modes. The model was solved in the 1960s, before the introduction of large $N$ path integral techniques, using a method referred to as the direct interaction approximation. We use the path integral to derive the effective action for the model. The large-$N$ saddle gives an integral equation for the two-point function, which is very similar to the corresponding equation in the SYK model. The connection between the SYK model and the random coupling model may, on the one hand, provide new physical contexts in which to realize the SYK model and, on the other hand, suggest new models of turbulence and techniques for studying them.
2001.08818	Jonathan Rosner	Itzhak Bars and Jonathan L. Rosner	Duality Between Hydrogen Atom and Oscillator Systems via Hidden SO(d,2) Symmetry and 2T-physics	56 pages, no figures	null	10.1088/1751-8121/ab87ba	EFI 20-1, USC/20-1	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	The relation between motion in $-1/r$ and $r^{2}$ potentials, known since Newton, can be demonstrated by the substitution $r\rightarrow r^{2}$ in the classical/quantum radial equations of the Kepler/Hydrogen problems versus the harmonic oscillator. This suggests a duality-type relationship between these systems. However, when both radial and angular components of these systems are included the possibility of a true duality seems to be remote. Indeed, investigations that explored and generalized Newton's radial relation, including algebraic approaches based on noncompact groups such as SO(4,2), have never exhibited a full duality consistent with Newton's. On the other hand, 2T-physics predicts a host of dualities between pairs of a huge set of systems that includes Newton's two systems. These dualities take the form of rather complicated canonical transformations that relate the full phase spaces of these respective systems in all directions. In this paper we focus on Newton's case by imposing his radial relation to find an appropriate basis for 2T-physics dualities, and then construct the full duality. Using the techniques of 2T-physics, we discuss the hidden symmetry of the actions (beyond the symmetry of Hamiltonians) for the Hydrogen atom in $D$-dimensions and the harmonic oscillator in $\bar{D}$ dimensions. The symmetries lead us to find the one-to-one relation between the quantum states, including angular degrees of freedom, for specific values of $\left( D,\bar{D}\right) $, and construct the explicit quantum canonical transformation in those special cases. We find that the canonical transformation has itself a hidden gauge symmetry that is crucial for the respective phase spaces to be dual even when $D\neq\bar{D}$. In this way we display the surprising beautiful symmetry of the full duality that generalizes Newton's radial duality.	[ { "created": "Thu, 23 Jan 2020 21:30:25 GMT", "version": "v1" } ]	2020-06-24	[ [ "Bars", "Itzhak", "" ], [ "Rosner", "Jonathan L.", "" ] ]	The relation between motion in $-1/r$ and $r^{2}$ potentials, known since Newton, can be demonstrated by the substitution $r\rightarrow r^{2}$ in the classical/quantum radial equations of the Kepler/Hydrogen problems versus the harmonic oscillator. This suggests a duality-type relationship between these systems. However, when both radial and angular components of these systems are included the possibility of a true duality seems to be remote. Indeed, investigations that explored and generalized Newton's radial relation, including algebraic approaches based on noncompact groups such as SO(4,2), have never exhibited a full duality consistent with Newton's. On the other hand, 2T-physics predicts a host of dualities between pairs of a huge set of systems that includes Newton's two systems. These dualities take the form of rather complicated canonical transformations that relate the full phase spaces of these respective systems in all directions. In this paper we focus on Newton's case by imposing his radial relation to find an appropriate basis for 2T-physics dualities, and then construct the full duality. Using the techniques of 2T-physics, we discuss the hidden symmetry of the actions (beyond the symmetry of Hamiltonians) for the Hydrogen atom in $D$-dimensions and the harmonic oscillator in $\bar{D}$ dimensions. The symmetries lead us to find the one-to-one relation between the quantum states, including angular degrees of freedom, for specific values of $\left( D,\bar{D}\right) $, and construct the explicit quantum canonical transformation in those special cases. We find that the canonical transformation has itself a hidden gauge symmetry that is crucial for the respective phase spaces to be dual even when $D\neq\bar{D}$. In this way we display the surprising beautiful symmetry of the full duality that generalizes Newton's radial duality.
0905.2444	Rachel A Rosen	Gregory Gabadadze and Rachel A. Rosen	Vortex Structure in Charged Condensate	23 pages	JHEP 0907:093,2009	10.1088/1126-6708/2009/07/093	null	hep-th cond-mat.other	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We study magnetic fields in the charged condensate that we have previously argued should be present in helium-core white dwarf stars. We show that below a certain critical value the magnetic field is entirely expelled from the condensate, while for larger values it penetrates the condensate within flux-tubes that are similar to Abrikosov vortex lines; yet higher fields lead to the disruption of the condensate. We find the solution for the vortex lines in both relativistic and nonrelativistic theories that exhibit the charged condensation. We calculate the energy density of the vortex solution and the values of the critical magnetic fields. The minimum magnetic field required for vortices to penetrate the helium white dwarf cores ranges from roughly 10^7 to 10^9 Gauss. Fields of this strength have been observed in white dwarfs. We also calculate the London magnetic field due to the rotation of a dwarf star and show that its value is rather small.	[ { "created": "Thu, 14 May 2009 23:19:58 GMT", "version": "v1" } ]	2009-08-05	[ [ "Gabadadze", "Gregory", "" ], [ "Rosen", "Rachel A.", "" ] ]	We study magnetic fields in the charged condensate that we have previously argued should be present in helium-core white dwarf stars. We show that below a certain critical value the magnetic field is entirely expelled from the condensate, while for larger values it penetrates the condensate within flux-tubes that are similar to Abrikosov vortex lines; yet higher fields lead to the disruption of the condensate. We find the solution for the vortex lines in both relativistic and nonrelativistic theories that exhibit the charged condensation. We calculate the energy density of the vortex solution and the values of the critical magnetic fields. The minimum magnetic field required for vortices to penetrate the helium white dwarf cores ranges from roughly 10^7 to 10^9 Gauss. Fields of this strength have been observed in white dwarfs. We also calculate the London magnetic field due to the rotation of a dwarf star and show that its value is rather small.
hep-th/9310117	null	Jerzy Lukierski and Henri Ruegg	Quantum $\kappa$-Poincare in Any Dimensions	(PLAIN TeX, 10 pp. )	Phys. Lett. B329 (1994) 189-194	10.1016/0370-2693(94)90759-5	null	hep-th	null	The $\kappa$-deformation of the D-dimensional Poincar\'e algebra $(D\geq 2)$ with any signature is given. Further the quadratic Poisson brackets, determined by the classical $r$-matrix are calculated, and the quantum Poincar\'e group "with noncommuting parameters" is obtained.	[ { "created": "Tue, 19 Oct 1993 17:40:52 GMT", "version": "v1" } ]	2009-10-22	[ [ "Lukierski", "Jerzy", "" ], [ "Ruegg", "Henri", "" ] ]	The $\kappa$-deformation of the D-dimensional Poincar\'e algebra $(D\geq 2)$ with any signature is given. Further the quadratic Poisson brackets, determined by the classical $r$-matrix are calculated, and the quantum Poincar\'e group "with noncommuting parameters" is obtained.
1912.01623	Guillermo Arias-Tamargo	Guillermo Arias-Tamargo, Diego Rodriguez-Gomez, Jorge G. Russo	Correlation functions in scalar field theory at large charge	13 pages	JHEP 01 (2020) 171	10.1007/JHEP01(2020)171	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We compute general higher-point functions in the sector of large charge operators $\phi^n$, $\bar\phi^n$ at large charge in $O(2)$ $(\bar \phi\phi)^2$ theory. We find that there is a special class of "extremal" correlators having only one insertion of $\bar \phi^n$ that have a remarkably simple form in the double-scaling limit $n\to \infty $ at fixed $g\,n^2\equiv \lambda$, where $g\sim\epsilon $ is the coupling at the $O(2)$ Wilson-Fisher fixed point in $4-\epsilon$ dimensions. In this limit, also non-extremal correlators can be computed. As an example, we give the complete formula for $ \langle \phi(x_1)^{n}\,\phi(x_2)^{n}\,\bar{\phi}(x_3)^{n}\,\bar{\phi}(x_4)^{n}\rangle$, which reveals an interesting structure.	[ { "created": "Tue, 3 Dec 2019 19:00:15 GMT", "version": "v1" }, { "created": "Wed, 12 Feb 2020 11:02:33 GMT", "version": "v2" } ]	2020-02-13	[ [ "Arias-Tamargo", "Guillermo", "" ], [ "Rodriguez-Gomez", "Diego", "" ], [ "Russo", "Jorge G.", "" ] ]	We compute general higher-point functions in the sector of large charge operators $\phi^n$, $\bar\phi^n$ at large charge in $O(2)$ $(\bar \phi\phi)^2$ theory. We find that there is a special class of "extremal" correlators having only one insertion of $\bar \phi^n$ that have a remarkably simple form in the double-scaling limit $n\to \infty $ at fixed $g\,n^2\equiv \lambda$, where $g\sim\epsilon $ is the coupling at the $O(2)$ Wilson-Fisher fixed point in $4-\epsilon$ dimensions. In this limit, also non-extremal correlators can be computed. As an example, we give the complete formula for $ \langle \phi(x_1)^{n}\,\phi(x_2)^{n}\,\bar{\phi}(x_3)^{n}\,\bar{\phi}(x_4)^{n}\rangle$, which reveals an interesting structure.
hep-th/0411271	Eva Silverstein	Alex Saltman and Eva Silverstein	A New Handle on de Sitter Compactifications	26 pages, harvmac big. v2: Correction generalizing specific ingredients required for tunable negative term; conclusions and structure of potential unchanged	JHEP0601:139,2006	10.1088/1126-6708/2006/01/139	SLAC-PUB-10859, SU-ITP-4/41	hep-th astro-ph hep-ph	null	We construct a large new class of de Sitter (and anti de Sitter) vacua of critical string theory from flux compactifications on products of Riemann surfaces. In the construction, the leading effects stabilizing the moduli are perturbative. We show that these effects self-consistently dominate over standard estimates for further $\alpha^\prime$ and quantum corrections, via tuning available from large flux and brane quantum numbers.	[ { "created": "Tue, 30 Nov 2004 17:20:42 GMT", "version": "v1" }, { "created": "Sat, 4 Dec 2004 13:58:42 GMT", "version": "v2" } ]	2009-11-10	[ [ "Saltman", "Alex", "" ], [ "Silverstein", "Eva", "" ] ]	We construct a large new class of de Sitter (and anti de Sitter) vacua of critical string theory from flux compactifications on products of Riemann surfaces. In the construction, the leading effects stabilizing the moduli are perturbative. We show that these effects self-consistently dominate over standard estimates for further $\alpha^\prime$ and quantum corrections, via tuning available from large flux and brane quantum numbers.
hep-th/0011251	Ion Vasile Vancea	Ion V. Vancea	Note on Four Dp-Branes at Angles	misprints corrected, a new paragraph added, 11 pages LATeX	JHEP 0104 (2001) 020	10.1088/1126-6708/2001/04/020	IFT-P.095/2000	hep-th	null	In this note we analyse the dynamical potential of a system of four $Dp$-branes at arbitrary angles. The equilibrium configurations for various values of the relative angles and distances among branes are discussed. The known configurations of parallel branes and brane-antibranes are obtained at extrema of the dynamical potential.	[ { "created": "Tue, 28 Nov 2000 16:23:54 GMT", "version": "v1" }, { "created": "Thu, 15 Mar 2001 22:04:05 GMT", "version": "v2" } ]	2009-10-31	[ [ "Vancea", "Ion V.", "" ] ]	In this note we analyse the dynamical potential of a system of four $Dp$-branes at arbitrary angles. The equilibrium configurations for various values of the relative angles and distances among branes are discussed. The known configurations of parallel branes and brane-antibranes are obtained at extrema of the dynamical potential.
1711.11051	Keith Olive	John Ellis, Dimitri V. Nanopoulos, and Keith A. Olive	From $R^2$ Gravity to No-Scale Supergravity	15 pages, version accepted for publication	Phys. Rev. D 97, 043530 (2018)	10.1103/PhysRevD.97.043530	KCL-PH-TH/2017-60, CERN-PH-TH/2017-248, ACT-06-17, MI-TH-1771, UMN-TH-3706/17, FTPI-MINN-17/22	hep-th astro-ph.CO gr-qc hep-ph	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We show that $R^2$ gravity coupled conformally to scalar fields is equivalent to the real bosonic sector of SU(N,1)/SU(N)$\times$U(1) no-scale supergravity, where the conformal factor can be identified with the K\"ahler potential, and we review the construction of Starobinsky-like models of inflation within this framework.	[ { "created": "Wed, 29 Nov 2017 19:00:20 GMT", "version": "v1" }, { "created": "Fri, 9 Feb 2018 22:18:23 GMT", "version": "v2" } ]	2018-03-07	[ [ "Ellis", "John", "" ], [ "Nanopoulos", "Dimitri V.", "" ], [ "Olive", "Keith A.", "" ] ]	We show that $R^2$ gravity coupled conformally to scalar fields is equivalent to the real bosonic sector of SU(N,1)/SU(N)$\times$U(1) no-scale supergravity, where the conformal factor can be identified with the K\"ahler potential, and we review the construction of Starobinsky-like models of inflation within this framework.
0810.4094	Evgeny Buchbinder	Evgeny I. Buchbinder, Alex Buchel and Samuel E. Vazquez	Sound Waves in (2+1) Dimensional Holographic Magnetic Fluids	32 pages, LaTeX; minor corrections, references added; an error in the boundary conditions fixed, a slight change in the results	JHEP 12 (2008) 090	10.1088/1126-6708/2008/12/090	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We use the AdS/CFT correspondence to study propagation of sound waves in strongly coupled (2+1) dimensional conformal magnetic fluids. Our computation provides a nontrivial consistency check of the viscous magneto-hydrodynamics of Hartnoll-Kovtun-Muller-Sachdev to leading order in the external field. Depending on the behavior of the magnetic field in the hydrodynamic limit, we show that it can lead to further attenuation of sound waves in the (2+1) dimensional conformal plasma, or reduce the speed of sound. We present both field theory and dual supergravity descriptions of these phenomena. While to the leading order in momenta the dispersion of the sound waves obtained from the dual supergravity description agrees with the one predicted from field theory, we find a discrepancy at higher order. This suggests that further corrections to HKMS magneto-hydrodynamics are necessary.	[ { "created": "Wed, 22 Oct 2008 15:47:19 GMT", "version": "v1" }, { "created": "Tue, 4 Nov 2008 19:10:14 GMT", "version": "v2" }, { "created": "Mon, 24 Nov 2008 19:27:40 GMT", "version": "v3" }, { "created": "Mon, 22 Dec 2008 20:18:39 GMT", "version": "v4" } ]	2009-11-13	[ [ "Buchbinder", "Evgeny I.", "" ], [ "Buchel", "Alex", "" ], [ "Vazquez", "Samuel E.", "" ] ]	We use the AdS/CFT correspondence to study propagation of sound waves in strongly coupled (2+1) dimensional conformal magnetic fluids. Our computation provides a nontrivial consistency check of the viscous magneto-hydrodynamics of Hartnoll-Kovtun-Muller-Sachdev to leading order in the external field. Depending on the behavior of the magnetic field in the hydrodynamic limit, we show that it can lead to further attenuation of sound waves in the (2+1) dimensional conformal plasma, or reduce the speed of sound. We present both field theory and dual supergravity descriptions of these phenomena. While to the leading order in momenta the dispersion of the sound waves obtained from the dual supergravity description agrees with the one predicted from field theory, we find a discrepancy at higher order. This suggests that further corrections to HKMS magneto-hydrodynamics are necessary.
1511.03637	Jos\'e M. Figueroa-O'Farrill	Jos\'e Figueroa-O'Farrill and Mara Ungureanu	Homogeneous M2 duals	56 pages	null	10.1007/JHEP01(2016)150	EMPG-15-19	hep-th math.DG	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Motivated by the search for new gravity duals to M2 branes with $N>4$ supersymmetry --- equivalently, M-theory backgrounds with Killing superalgebra $\mathfrak{osp}(N\|4)$ for $N>4$ --- we classify homogeneous M-theory backgrounds with symmetry Lie algebra $\mathfrak{so}(n) \oplus \mathfrak{so}(3,2)$ for $n=5,6,7$. We find that there are no new backgrounds with $n=6,7$ but we do find a number of new (to us) backgrounds with $n=5$. All backgrounds are metrically products of the form $\operatorname{AdS}_4 \times P^7$, with $P$ riemannian and homogeneous under the action of $\operatorname{SO}(5)$, or $S^4 \times Q^7$ with $Q$ lorentzian and homogeneous under the action of $\operatorname{SO}(3,2)$. At least one of the new backgrounds is supersymmetric (albeit with only $N=2$) and we show that it can be constructed from a supersymmetric Freund--Rubin background via a Wick rotation. Two of the new backgrounds have only been approximated numerically. (The second version of this paper includes an appendix by Alexander~S.~Haupt, closing a gap in our original analysis.)	[ { "created": "Wed, 11 Nov 2015 20:11:57 GMT", "version": "v1" }, { "created": "Mon, 12 Jun 2017 09:33:50 GMT", "version": "v2" } ]	2017-06-13	[ [ "Figueroa-O'Farrill", "José", "" ], [ "Ungureanu", "Mara", "" ] ]	Motivated by the search for new gravity duals to M2 branes with $N>4$ supersymmetry --- equivalently, M-theory backgrounds with Killing superalgebra $\mathfrak{osp}(N\|4)$ for $N>4$ --- we classify homogeneous M-theory backgrounds with symmetry Lie algebra $\mathfrak{so}(n) \oplus \mathfrak{so}(3,2)$ for $n=5,6,7$. We find that there are no new backgrounds with $n=6,7$ but we do find a number of new (to us) backgrounds with $n=5$. All backgrounds are metrically products of the form $\operatorname{AdS}_4 \times P^7$, with $P$ riemannian and homogeneous under the action of $\operatorname{SO}(5)$, or $S^4 \times Q^7$ with $Q$ lorentzian and homogeneous under the action of $\operatorname{SO}(3,2)$. At least one of the new backgrounds is supersymmetric (albeit with only $N=2$) and we show that it can be constructed from a supersymmetric Freund--Rubin background via a Wick rotation. Two of the new backgrounds have only been approximated numerically. (The second version of this paper includes an appendix by Alexander~S.~Haupt, closing a gap in our original analysis.)
hep-th/9702191	Satoshi Uchiyama	Kanji Fujii (1), N. Ogawa (1), S. Uchiyama(1) and N. M. Chepilko (2) ((1) Hokkaido University, (2) Institute of Physics, Academy of Sciences of Ukraine)	Geometrically Induced Gauge Structure on Manifolds Embedded in a Higher Dimensional Space	52 pages, PHYZZX. To be published in Int. J. Mod. Phys. A	Int.J.Mod.Phys.A12:5235-5278,1997	10.1142/S0217751X97002814	EPHOU-96-004	hep-th	null	We explain in a context different from that of Maraner the formalism for describing motion of a particle, under the influence of a confining potential, in a neighbourhood of an n-dimensional curved manifold M^n embedded in a p-dimensional Euclidean space R^p with p >= n+2. The effective Hamiltonian on M^n has a (generally non-Abelian) gauge structure determined by geometry of M^n. Such a gauge term is defined in terms of the vectors normal to M^n, and its connection is called the N-connection. In order to see the global effect of this type of connections, the case of M^1 embedded in R^3 is examined, where the relation of an integral of the gauge potential of the N-connection (i.e., the torsion) along a path in M^1 to the Berry's phase is given through Gauss mapping of the vector tangent to M^1. Through the same mapping in the case of M^1 embedded in R^p, where the normal and the tangent quantities are exchanged, the relation of the N-connection to the induced gauge potential on the (p-1)-dimensional sphere S^{p-1} (p >= 3) found by Ohnuki and Kitakado is concretely established. Further, this latter which has the monopole-like structure is also proved to be gauge-equivalent to the spin-connection of S^{p-1}. Finally, by extending formally the fundamental equations for M^n to infinite dimensional case, the present formalism is applied to the field theory that admits a soliton solution. The resultant expression is in some respects different from that of Gervais and Jevicki.	[ { "created": "Thu, 27 Feb 1997 09:50:31 GMT", "version": "v1" }, { "created": "Sat, 1 Mar 1997 05:57:24 GMT", "version": "v2" } ]	2014-11-18	[ [ "Fujii", "Kanji", "" ], [ "Ogawa", "N.", "" ], [ "Uchiyama", "S.", "" ], [ "Chepilko", "N. M.", "" ] ]	We explain in a context different from that of Maraner the formalism for describing motion of a particle, under the influence of a confining potential, in a neighbourhood of an n-dimensional curved manifold M^n embedded in a p-dimensional Euclidean space R^p with p >= n+2. The effective Hamiltonian on M^n has a (generally non-Abelian) gauge structure determined by geometry of M^n. Such a gauge term is defined in terms of the vectors normal to M^n, and its connection is called the N-connection. In order to see the global effect of this type of connections, the case of M^1 embedded in R^3 is examined, where the relation of an integral of the gauge potential of the N-connection (i.e., the torsion) along a path in M^1 to the Berry's phase is given through Gauss mapping of the vector tangent to M^1. Through the same mapping in the case of M^1 embedded in R^p, where the normal and the tangent quantities are exchanged, the relation of the N-connection to the induced gauge potential on the (p-1)-dimensional sphere S^{p-1} (p >= 3) found by Ohnuki and Kitakado is concretely established. Further, this latter which has the monopole-like structure is also proved to be gauge-equivalent to the spin-connection of S^{p-1}. Finally, by extending formally the fundamental equations for M^n to infinite dimensional case, the present formalism is applied to the field theory that admits a soliton solution. The resultant expression is in some respects different from that of Gervais and Jevicki.
hep-th/9603052	essor Uel	D.M. Gitman, A.E. Goncalves	Pseudoclassical description of the massive Dirac particles in odd dimensions	12 pages, LaTeX (RevTeX)	Int.J.Theor.Phys.35:2427-2438,1996	10.1007/BF02085750	IFUSP/P-96-1204	hep-th	null	A pseudoclassical model is proposed to describe massive Dirac (spin one-half) particles in arbitrary odd dimensions. The quantization of the model reproduces the minimal quantum theory of spinning particles in such dimensions. A dimensional duality between the model proposed and the pseudoclassical description of Weyl particles in even dimensions is discussed.	[ { "created": "Fri, 8 Mar 1996 14:20:03 GMT", "version": "v1" } ]	2014-11-18	[ [ "Gitman", "D. M.", "" ], [ "Goncalves", "A. E.", "" ] ]	A pseudoclassical model is proposed to describe massive Dirac (spin one-half) particles in arbitrary odd dimensions. The quantization of the model reproduces the minimal quantum theory of spinning particles in such dimensions. A dimensional duality between the model proposed and the pseudoclassical description of Weyl particles in even dimensions is discussed.
1706.01364	Antonio Riotto	D. Canko, I. Gialamas, G. Jelic-Cizmek, A. Riotto and N. Tetradis	On the Catalysis of the Electroweak Vacuum Decay by Black Holes at High Temperature	LaTeX file, 15 pages, 5 figures	null	10.1140/epjc/s10052-018-5808-y	null	hep-th astro-ph.CO hep-ph	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We study the effect of primordial black holes on the classical rate of nucleation of AdS regions within the standard electroweak vacuum at high temperature. We find that the energy barrier for transitions to the new vacuum, which determines the exponential suppression of the nucleation rate, can be reduced significantly, or even eliminated completely, in the black-hole background if the Standard Model Higgs is coupled to gravity through the renormalizable term $\xi {\cal R} h^2$.	[ { "created": "Mon, 5 Jun 2017 15:05:45 GMT", "version": "v1" } ]	2018-05-09	[ [ "Canko", "D.", "" ], [ "Gialamas", "I.", "" ], [ "Jelic-Cizmek", "G.", "" ], [ "Riotto", "A.", "" ], [ "Tetradis", "N.", "" ] ]	We study the effect of primordial black holes on the classical rate of nucleation of AdS regions within the standard electroweak vacuum at high temperature. We find that the energy barrier for transitions to the new vacuum, which determines the exponential suppression of the nucleation rate, can be reduced significantly, or even eliminated completely, in the black-hole background if the Standard Model Higgs is coupled to gravity through the renormalizable term $\xi {\cal R} h^2$.
0807.3605	Mohammad Khorrami	L. Lavaei-Yanesi, M. Khorrami	Phase structure of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere	10 pages	J.Math.Phys.49:073514,2008	10.1063/1.2956500	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	The large-N behavior of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere is investigated, for small cubic couplings. It is shown that single transition at the critical area which is present for the quartic model, is split into two transitions, both of them are third order. the phase diagram of the system for small cubic couplings is obtained.	[ { "created": "Wed, 23 Jul 2008 06:26:52 GMT", "version": "v1" } ]	2008-11-26	[ [ "Lavaei-Yanesi", "L.", "" ], [ "Khorrami", "M.", "" ] ]	The large-N behavior of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere is investigated, for small cubic couplings. It is shown that single transition at the critical area which is present for the quartic model, is split into two transitions, both of them are third order. the phase diagram of the system for small cubic couplings is obtained.
1402.2973	Timm Wrase	Timm Wrase	Mathieu moonshine in four dimensional $\mathcal{N}=1$ theories	15 pages	JHEP 1404:069,2014	10.1007/JHEP04(2014)069	SU/ITP-14/04	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We show that the recently discovered Mathieu moonshine plays a role for certain four dimensional theories with $\mathcal{N}=1$ supersymmetry. These theories are obtained from the $E_8 \times E_8$ heterotic string theory by compactifying on toroidal orbifolds. We find that a universal contribution to the holomorphic gauge kinetic function can be expanded in such a way that the expansion coefficients are the dimensions of representations of the Mathieu group M$_{24}$.	[ { "created": "Wed, 12 Feb 2014 21:00:10 GMT", "version": "v1" } ]	2015-06-18	[ [ "Wrase", "Timm", "" ] ]	We show that the recently discovered Mathieu moonshine plays a role for certain four dimensional theories with $\mathcal{N}=1$ supersymmetry. These theories are obtained from the $E_8 \times E_8$ heterotic string theory by compactifying on toroidal orbifolds. We find that a universal contribution to the holomorphic gauge kinetic function can be expanded in such a way that the expansion coefficients are the dimensions of representations of the Mathieu group M$_{24}$.
1309.0769	Gregory Korchemsky	A.V.Belitsky, S.Hohenegger, G.P.Korchemsky, E.Sokatchev, A.Zhiboedov	From correlation functions to event shapes	40 pages, 1 figure; v2: typos corrected	null	10.1016/j.nuclphysb.2014.04.020	CERN-PH-TH/2013-211, IPhT-T13-210, LAPTH-047/13	hep-th hep-ph	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We present a new approach to computing event shape distributions or, more precisely, charge flow correlations in a generic conformal field theory (CFT). These infrared finite observables are familiar from collider physics studies and describe the angular distribution of global charges in outgoing radiation created from the vacuum by some source. The charge flow correlations can be expressed in terms of Wightman correlation functions in a certain limit. We explain how to compute these quantities starting from their Euclidean analogues by means of a non-trivial analytic continuation which, in the framework of CFT, can elegantly be performed in Mellin space. The relation between the charge flow correlations and Euclidean correlation functions can be reformulated directly in configuration space, bypassing the Mellin representation, as a certain Lorentzian double discontinuity of the correlation function integrated along the cuts. We illustrate the general formalism in N=4 SYM, making use of the well-known results on the four-point correlation function of half-BPS scalar operators. We compute the double scalar flow correlation in N=4 SYM, at weak and strong coupling and show that it agrees with known results obtained by different techniques. One of the remarkable features of the N=4 theory is that the scalar and energy flow correlations are proportional to each other. Imposing natural physical conditions on the energy flow correlations (finiteness, positivity and regularity), we formulate additional constraints on the four-point correlation functions in N=4 SYM that should be valid at any coupling and away from the planar limit.	[ { "created": "Tue, 3 Sep 2013 18:35:08 GMT", "version": "v1" }, { "created": "Thu, 1 May 2014 15:24:06 GMT", "version": "v2" } ]	2015-06-17	[ [ "Belitsky", "A. V.", "" ], [ "Hohenegger", "S.", "" ], [ "Korchemsky", "G. P.", "" ], [ "Sokatchev", "E.", "" ], [ "Zhiboedov", "A.", "" ] ]	We present a new approach to computing event shape distributions or, more precisely, charge flow correlations in a generic conformal field theory (CFT). These infrared finite observables are familiar from collider physics studies and describe the angular distribution of global charges in outgoing radiation created from the vacuum by some source. The charge flow correlations can be expressed in terms of Wightman correlation functions in a certain limit. We explain how to compute these quantities starting from their Euclidean analogues by means of a non-trivial analytic continuation which, in the framework of CFT, can elegantly be performed in Mellin space. The relation between the charge flow correlations and Euclidean correlation functions can be reformulated directly in configuration space, bypassing the Mellin representation, as a certain Lorentzian double discontinuity of the correlation function integrated along the cuts. We illustrate the general formalism in N=4 SYM, making use of the well-known results on the four-point correlation function of half-BPS scalar operators. We compute the double scalar flow correlation in N=4 SYM, at weak and strong coupling and show that it agrees with known results obtained by different techniques. One of the remarkable features of the N=4 theory is that the scalar and energy flow correlations are proportional to each other. Imposing natural physical conditions on the energy flow correlations (finiteness, positivity and regularity), we formulate additional constraints on the four-point correlation functions in N=4 SYM that should be valid at any coupling and away from the planar limit.
1007.0600	Thomas Fischbacher	Thomas Fischbacher	Numerical tools to validate stationary points of SO(8)-gauged N=8 D=4 supergravity	9 pages, program code can be obtained by downloading paper's source from arxiv; new version contains code cleanup and extensions (scalar mass matrix code)	null	10.1016/j.cpc.2011.11.022	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Until recently, the preferred strategy to identify stationary points in the scalar potential of SO(8)-gauged N=8 supergravity in D=4 has been to consider truncations of the potential to sub-manifolds of E_{7(+7)}/SU(8) that are invariant under some postulated residual gauge group G of SO(8). As powerful alternative strategies have been shown to exist that allow one to go far beyond what this method can achieve -- and in particular have produced numerous solutions that break the SO(8) gauge group to no continuous residual symmetry -- independent verification of results becomes a problem due to both the complexity of the scalar potential and the large number of new solutions. This article introduces a conceptually simple self-contained piece of computer code that allows independent numerical validation of claims on the locations of newly discovered stationary points.	[ { "created": "Mon, 5 Jul 2010 00:15:55 GMT", "version": "v1" }, { "created": "Wed, 7 Jul 2010 03:15:12 GMT", "version": "v2" }, { "created": "Wed, 31 Aug 2011 14:36:51 GMT", "version": "v3" } ]	2015-05-19	[ [ "Fischbacher", "Thomas", "" ] ]	Until recently, the preferred strategy to identify stationary points in the scalar potential of SO(8)-gauged N=8 supergravity in D=4 has been to consider truncations of the potential to sub-manifolds of E_{7(+7)}/SU(8) that are invariant under some postulated residual gauge group G of SO(8). As powerful alternative strategies have been shown to exist that allow one to go far beyond what this method can achieve -- and in particular have produced numerous solutions that break the SO(8) gauge group to no continuous residual symmetry -- independent verification of results becomes a problem due to both the complexity of the scalar potential and the large number of new solutions. This article introduces a conceptually simple self-contained piece of computer code that allows independent numerical validation of claims on the locations of newly discovered stationary points.
hep-th/0211218	Kazumi Okuyama	Kazumi Okuyama	D-Branes on the Null-Brane	19 pages, 1 figure, lanlmac	JHEP 0302:043,2003	10.1088/1126-6708/2003/02/043	EFI-02-51	hep-th	null	We study D-branes in the null-brane background. Using the covariant formalism of the worldsheet theory, we construct the boundary states describing D-branes on the null-brane. From the cylinder amplitudes, we find that the D-branes with codimension zero or two have time-dependent effective tensions.	[ { "created": "Fri, 22 Nov 2002 18:24:44 GMT", "version": "v1" }, { "created": "Sun, 24 Nov 2002 16:43:10 GMT", "version": "v2" }, { "created": "Wed, 27 Nov 2002 14:09:53 GMT", "version": "v3" } ]	2010-02-03	[ [ "Okuyama", "Kazumi", "" ] ]	We study D-branes in the null-brane background. Using the covariant formalism of the worldsheet theory, we construct the boundary states describing D-branes on the null-brane. From the cylinder amplitudes, we find that the D-branes with codimension zero or two have time-dependent effective tensions.
1106.2764	David Kastor	David Kastor, Sourya Ray and Jennie Traschen	Mass and Free Energy of Lovelock Black Holes	24 pages; v2 references added	null	10.1088/0264-9381/28/19/195022	null	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	An explicit formula for the ADM mass of an asymptotically AdS black hole in a generic Lovelock gravity theory is presented, identical in form to that in Einstein gravity, but multiplied by a function of the Lovelock coupling constants and the AdS curvature radius. A Gauss' law type formula relates the mass, which is an integral at infinity, to an expression depending instead on the horizon radius. This and other thermodynamic quantities, such as the free energy, are then analyzed in the limits of small and large horizon radius, yielding results that are independent of the detailed choice of Lovelock couplings. In even dimensions, the temperature diverges in both limits, implying the existence of a minimum temperature for black holes. The negative free energy of sufficiently large black holes implies the existence of a Hawking-Page transition. In odd dimensions the temperature still diverges for large black holes, which again have negative free energy. However, the temperature vanishes as the horizon radius tends to zero and sufficiently small black holes have positive specific heat.	[ { "created": "Tue, 14 Jun 2011 17:01:45 GMT", "version": "v1" }, { "created": "Mon, 20 Jun 2011 19:41:33 GMT", "version": "v2" } ]	2015-05-28	[ [ "Kastor", "David", "" ], [ "Ray", "Sourya", "" ], [ "Traschen", "Jennie", "" ] ]	An explicit formula for the ADM mass of an asymptotically AdS black hole in a generic Lovelock gravity theory is presented, identical in form to that in Einstein gravity, but multiplied by a function of the Lovelock coupling constants and the AdS curvature radius. A Gauss' law type formula relates the mass, which is an integral at infinity, to an expression depending instead on the horizon radius. This and other thermodynamic quantities, such as the free energy, are then analyzed in the limits of small and large horizon radius, yielding results that are independent of the detailed choice of Lovelock couplings. In even dimensions, the temperature diverges in both limits, implying the existence of a minimum temperature for black holes. The negative free energy of sufficiently large black holes implies the existence of a Hawking-Page transition. In odd dimensions the temperature still diverges for large black holes, which again have negative free energy. However, the temperature vanishes as the horizon radius tends to zero and sufficiently small black holes have positive specific heat.
hep-th/0209231	Matthew Kleban	Nemanja Kaloper, Matthew Kleban, Albion Lawrence, Stephen Shenker, Leonard Susskind	Initial Conditions for Inflation	31 pages, 4 figures	JHEP 0211:037,2002	10.1088/1126-6708/2002/11/037	null	hep-th astro-ph gr-qc hep-ph	null	Free scalar fields in de Sitter space have a one-parameter family of states invariant under the de Sitter group, including the standard thermal vacuum. We show that, except for the thermal vacuum, these states are unphysical when gravitational interactions are included. We apply these observations to the quantum state of the inflaton, and find that, at best, dramatic fine tuning is required for states other than the thermal vacuum to lead to observable features in the CMBR anisotropy.	[ { "created": "Thu, 26 Sep 2002 22:09:55 GMT", "version": "v1" } ]	2009-11-07	[ [ "Kaloper", "Nemanja", "" ], [ "Kleban", "Matthew", "" ], [ "Lawrence", "Albion", "" ], [ "Shenker", "Stephen", "" ], [ "Susskind", "Leonard", "" ] ]	Free scalar fields in de Sitter space have a one-parameter family of states invariant under the de Sitter group, including the standard thermal vacuum. We show that, except for the thermal vacuum, these states are unphysical when gravitational interactions are included. We apply these observations to the quantum state of the inflaton, and find that, at best, dramatic fine tuning is required for states other than the thermal vacuum to lead to observable features in the CMBR anisotropy.
2205.03428	Filippo Revello	Alessandro Podo, Filippo Revello	Integer solutions to the anomaly equations for a class of chiral gauge theories	30 pages. v2: one reference added and typos fixed. v3: improved discussion and added references in the introduction, results unchanged. Matches with published version	null	10.1103/PhysRevD.106.116020	null	hep-th hep-ph math-ph math.MP	http://creativecommons.org/licenses/by/4.0/	We find all the integer charge solutions to the equations for the cancellation of local gauge anomalies in a class of gauge theories which extend the Standard Model (SM) by a gauge group of the form $G \times U(1)$, where $G$ is an arbitrary semisimple compact Lie group. The SM fermions are assumed to be neutral under $G \times U(1)$ gauge interactions, while the new fermions transform in non-trivial representations of both the new and the SM gauge groups. Our analysis is valid also when the latter is embedded in an arbitrary semisimple compact Lie group. Theories with this structure have been recently studied as models of composite axions based on accidental symmetries and can provide a field theory resolution to the axion quality problem. We apply our results to cases of phenomenological interest and prove the existence of charge assignments with Peccei-Quinn symmetry protected up to dimension 18.	[ { "created": "Fri, 6 May 2022 18:01:25 GMT", "version": "v1" }, { "created": "Wed, 25 May 2022 17:55:46 GMT", "version": "v2" }, { "created": "Sun, 15 Jan 2023 22:43:50 GMT", "version": "v3" } ]	2023-01-18	[ [ "Podo", "Alessandro", "" ], [ "Revello", "Filippo", "" ] ]	We find all the integer charge solutions to the equations for the cancellation of local gauge anomalies in a class of gauge theories which extend the Standard Model (SM) by a gauge group of the form $G \times U(1)$, where $G$ is an arbitrary semisimple compact Lie group. The SM fermions are assumed to be neutral under $G \times U(1)$ gauge interactions, while the new fermions transform in non-trivial representations of both the new and the SM gauge groups. Our analysis is valid also when the latter is embedded in an arbitrary semisimple compact Lie group. Theories with this structure have been recently studied as models of composite axions based on accidental symmetries and can provide a field theory resolution to the axion quality problem. We apply our results to cases of phenomenological interest and prove the existence of charge assignments with Peccei-Quinn symmetry protected up to dimension 18.
2102.01470	Jue Hou	Bin Chen, Jue Hou, Jia Tian	Lax Connections in $T\bar{T}$-deformed Integrable Field Theories	23 pages	null	10.1088/1674-1137/ac0ee4	null	hep-th	http://creativecommons.org/licenses/by/4.0/	In this work, we try to construct the Lax connections of $T\bar{T}$-deformed integrable field theories in two different ways. With reasonable assumptions, we make ansatz and find the Lax pairs in the $T\bar{T}$-deformed affine Toda theories and the principal chiral model by solving the Lax equations directly. This way is straightforward but maybe hard to apply for general models. We then make use of the dynamical coordinate transformation to read the Lax connection in the deformed theory from the undeformed one. We find that once the inverse of the transformation is available, the Lax connection can be read easily. We show the construction explicitly for a few classes of scalar models, and find consistency with the ones in the first way.	[ { "created": "Tue, 2 Feb 2021 12:43:32 GMT", "version": "v1" } ]	2021-09-22	[ [ "Chen", "Bin", "" ], [ "Hou", "Jue", "" ], [ "Tian", "Jia", "" ] ]	In this work, we try to construct the Lax connections of $T\bar{T}$-deformed integrable field theories in two different ways. With reasonable assumptions, we make ansatz and find the Lax pairs in the $T\bar{T}$-deformed affine Toda theories and the principal chiral model by solving the Lax equations directly. This way is straightforward but maybe hard to apply for general models. We then make use of the dynamical coordinate transformation to read the Lax connection in the deformed theory from the undeformed one. We find that once the inverse of the transformation is available, the Lax connection can be read easily. We show the construction explicitly for a few classes of scalar models, and find consistency with the ones in the first way.
hep-th/9308044	John Preskill	Hoi-Kwong Lo, Kai-Ming Lee, and John Preskill	Complementarity in Wormhole Chromodynamics	12 pages and 2 figures, phyzzx, CALT-68-1880	Phys.Lett. B318 (1993) 287-292	10.1016/0370-2693(93)90130-A	null	hep-th gr-qc	null	The electric charge of a wormhole mouth and the magnetic flux ``linked'' by the wormhole are non-commuting observables, and so cannot be simultaneously diagonalized. We use this observation to resolve some puzzles in wormhole electrodynamics and chromodynamics. Specifically, we analyze the color electric field that results when a colored object traverses a wormhole, and we discuss the measurement of the wormhole charge and flux using Aharonov-Bohm interference effects. We suggest that wormhole mouths may obey conventional quantum statistics, contrary to a recent proposal by Strominger.	[ { "created": "Mon, 9 Aug 1993 20:25:21 GMT", "version": "v1" } ]	2009-10-22	[ [ "Lo", "Hoi-Kwong", "" ], [ "Lee", "Kai-Ming", "" ], [ "Preskill", "John", "" ] ]	The electric charge of a wormhole mouth and the magnetic flux ``linked'' by the wormhole are non-commuting observables, and so cannot be simultaneously diagonalized. We use this observation to resolve some puzzles in wormhole electrodynamics and chromodynamics. Specifically, we analyze the color electric field that results when a colored object traverses a wormhole, and we discuss the measurement of the wormhole charge and flux using Aharonov-Bohm interference effects. We suggest that wormhole mouths may obey conventional quantum statistics, contrary to a recent proposal by Strominger.
1111.1023	Tadashi Takayanagi	Noriaki Ogawa, Tadashi Takayanagi and Tomonori Ugajin	Holographic Fermi Surfaces and Entanglement Entropy	23 pages, 4 figures, latex, references added, minor corrections (v2,3), figures improved and typos corrected (v4)	JHEP01(2012)125	10.1007/JHEP01(2012)125	IPMU11-0180	hep-th cond-mat.str-el gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids.	[ { "created": "Fri, 4 Nov 2011 01:03:44 GMT", "version": "v1" }, { "created": "Tue, 15 Nov 2011 01:08:04 GMT", "version": "v2" }, { "created": "Fri, 18 Nov 2011 02:25:37 GMT", "version": "v3" }, { "created": "Sun, 8 Jan 2012 06:14:20 GMT", "version": "v4" } ]	2015-06-03	[ [ "Ogawa", "Noriaki", "" ], [ "Takayanagi", "Tadashi", "" ], [ "Ugajin", "Tomonori", "" ] ]	We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids.
1611.09310	Mangesh Mandlik	Sayantani Bhattacharyya, Anup Kumar Mandal, Mangesh Mandlik, Umang Mehta, Shiraz Minwalla, Utkarsh Sharma and Somyadip Thakur	Currents and Radiation from the large $D$ Black Hole Membrane	104 pages plus 69 pages appendix, 1 figure, Minor corrections	null	10.1007/JHEP05(2017)098	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	It has recently been demonstrated that black hole dynamics in a large number of dimensions $D$ reduces to the dynamics of a codimension one membrane propagating in flat space. In this paper we define a stress tensor and charge current on this membrane and explicitly determine these currents at low orders in the expansion in $\frac{1}{D}$. We demonstrate that dynamical membrane equations of motion derived in earlier work are simply conservation equations for our stress tensor and charge current. Through the paper we focus on solutions of the membrane equations which vary on a time scale of order unity. Even though the charge current and stress tensor are not parametrically small in such solutions, we show that the radiation sourced by the corresponding membrane currents is generically of order $\frac{1}{D^D}$. In this regime it follows that the `near horizon' membrane degrees of freedom are decoupled from asymptotic flat space at every perturbative order in the $\frac{1}{D}$ expansion. We also define an entropy current on the membrane and use the Hawking area theorem to demonstrate that the divergence of the entropy current is point wise non negative. We view this result as a local form of the second law of thermodynamics for membrane motion.	[ { "created": "Mon, 28 Nov 2016 20:00:21 GMT", "version": "v1" }, { "created": "Thu, 29 Dec 2016 19:35:33 GMT", "version": "v2" }, { "created": "Fri, 10 Mar 2017 18:28:21 GMT", "version": "v3" } ]	2017-08-23	[ [ "Bhattacharyya", "Sayantani", "" ], [ "Mandal", "Anup Kumar", "" ], [ "Mandlik", "Mangesh", "" ], [ "Mehta", "Umang", "" ], [ "Minwalla", "Shiraz", "" ], [ "Sharma", "Utkarsh", "" ], [ "Thakur", "Somyadip", "" ] ]	It has recently been demonstrated that black hole dynamics in a large number of dimensions $D$ reduces to the dynamics of a codimension one membrane propagating in flat space. In this paper we define a stress tensor and charge current on this membrane and explicitly determine these currents at low orders in the expansion in $\frac{1}{D}$. We demonstrate that dynamical membrane equations of motion derived in earlier work are simply conservation equations for our stress tensor and charge current. Through the paper we focus on solutions of the membrane equations which vary on a time scale of order unity. Even though the charge current and stress tensor are not parametrically small in such solutions, we show that the radiation sourced by the corresponding membrane currents is generically of order $\frac{1}{D^D}$. In this regime it follows that the `near horizon' membrane degrees of freedom are decoupled from asymptotic flat space at every perturbative order in the $\frac{1}{D}$ expansion. We also define an entropy current on the membrane and use the Hawking area theorem to demonstrate that the divergence of the entropy current is point wise non negative. We view this result as a local form of the second law of thermodynamics for membrane motion.
1805.02661	Masahide Manabe	Yoshinori Honma, Masahide Manabe	Local B-model Yukawa couplings from A-twisted correlators	29 pages, 7 figures. v2: minor changes. v3: minor changes, published version	PTEP 2018 (2018) no.7, 073A03	10.1093/ptep/pty077	null	hep-th math.AG	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Using the exact formula for the A-twisted correlation functions of the two dimensional $\mathcal{N}=(2,2)$ gauged linear sigma model, we reconsider the computation of the B-model Yukawa couplings of the local toric Calabi-Yau varieties. Our analysis is based on an exact result that has been evaluated from the supersymmetric localization technique and careful treatment of its application. We provide a detailed description of a procedure to investigate the local B-model Yukawa couplings and also test our prescription by comparing the results with known expressions evaluated from the local mirror symmetry approach. In particular, we find that the ambiguities of classical intersection numbers of a certain class of local toric Calabi-Yau varieties discovered previously can be interpreted as degrees of freedom of the twisted mass deformations.	[ { "created": "Mon, 7 May 2018 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 11 Jun 2018 14:58:23 GMT", "version": "v2" }, { "created": "Mon, 8 Oct 2018 20:29:25 GMT", "version": "v3" } ]	2018-10-10	[ [ "Honma", "Yoshinori", "" ], [ "Manabe", "Masahide", "" ] ]	Using the exact formula for the A-twisted correlation functions of the two dimensional $\mathcal{N}=(2,2)$ gauged linear sigma model, we reconsider the computation of the B-model Yukawa couplings of the local toric Calabi-Yau varieties. Our analysis is based on an exact result that has been evaluated from the supersymmetric localization technique and careful treatment of its application. We provide a detailed description of a procedure to investigate the local B-model Yukawa couplings and also test our prescription by comparing the results with known expressions evaluated from the local mirror symmetry approach. In particular, we find that the ambiguities of classical intersection numbers of a certain class of local toric Calabi-Yau varieties discovered previously can be interpreted as degrees of freedom of the twisted mass deformations.
1701.05280	Aiichi Iwazaki	Aiichi Iwazaki	Monopole and Polyakov loop	7 pages, no figures	Phys. Rev. D 95, 094026 (2017)	10.1103/PhysRevD.95.094026	Nisho-1-2017	hep-th hep-ph	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We propose a new order parameter of a $Z_N$ symmetry in SU(N) gauge theories in $4$ dimensional Minkowski space-time, assuming spatial periodic boundary conditions. It is given by $Tr(P\exp(i\int_c A_{\mu}dx^{\mu}))$ where the spatial path $c$ is taken, for example, along $x_1$ axis. The parameter vanishes when the $Z_N$ symmetry is preserved. We calculate the contribution of QCD monopoles to the order parameter and show that when the monopoles condense $\langle\Phi\rangle\neq 0$, it vanishes, while it does not vanish when they do not condense. These calculations are performed using a monopole field $\Phi$ canonically quantized in a model of dual superconductor.	[ { "created": "Thu, 19 Jan 2017 02:05:04 GMT", "version": "v1" }, { "created": "Tue, 4 Apr 2017 04:03:45 GMT", "version": "v2" }, { "created": "Fri, 21 Apr 2017 01:13:51 GMT", "version": "v3" } ]	2017-06-07	[ [ "Iwazaki", "Aiichi", "" ] ]	We propose a new order parameter of a $Z_N$ symmetry in SU(N) gauge theories in $4$ dimensional Minkowski space-time, assuming spatial periodic boundary conditions. It is given by $Tr(P\exp(i\int_c A_{\mu}dx^{\mu}))$ where the spatial path $c$ is taken, for example, along $x_1$ axis. The parameter vanishes when the $Z_N$ symmetry is preserved. We calculate the contribution of QCD monopoles to the order parameter and show that when the monopoles condense $\langle\Phi\rangle\neq 0$, it vanishes, while it does not vanish when they do not condense. These calculations are performed using a monopole field $\Phi$ canonically quantized in a model of dual superconductor.
2004.02856	Mohammad Ali-Akbari	B. Amrahi, M. Ali-Akbari, M. Asadi	Holographic Entanglement of Purification near a Critical Point	10 pages, 10 figures	null	10.1140/epjc/s10052-020-08647-8	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	In the presence of finite chemical potential $\mu$, we holographically compute the entanglement of purification in a $2+1$- and $3+1$-dimensional field theory and also in a $3+1$-dimensional field theory with a critical point. We observe that compared to $2+1$- and $3+1$-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of $\frac{\mu}{T}$ where $T$ is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.	[ { "created": "Mon, 6 Apr 2020 17:48:51 GMT", "version": "v1" } ]	2020-12-30	[ [ "Amrahi", "B.", "" ], [ "Ali-Akbari", "M.", "" ], [ "Asadi", "M.", "" ] ]	In the presence of finite chemical potential $\mu$, we holographically compute the entanglement of purification in a $2+1$- and $3+1$-dimensional field theory and also in a $3+1$-dimensional field theory with a critical point. We observe that compared to $2+1$- and $3+1$-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of $\frac{\mu}{T}$ where $T$ is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.
hep-th/0502105	Aaron Bergman	Aaron Bergman	Undoing Orbifold Quivers	18 pages, LaTeX, uses utarticle.cls, xypic, v2:minor corrections, v3:more minor corrections	JHEP 0703:112,2007	10.1088/1126-6708/2007/03/112	UTTG-02-05	hep-th	null	A number of new papers have greatly elucidated the derivation of quiver gauge theories from D-branes at a singularity. A complete story has now been developed for the total space of the canonical line bundle over a smooth Fano 2-fold. In the context of the AdS/CFT conjecture, this corresponds to eight of the ten regular Sasaki-Einstein 5-folds. Interestingly, the two remaining spaces are among the earliest examples, the sphere and T^{11}. I show how to obtain the (well-known) quivers for these theories by interpreting the canonical line bundle as the resolution of an orbifold using the McKay correspondence. I then obtain the correct quivers by undoing the orbifold. I also conjecture, in general, an autoequivalence that implements the orbifold group action on the derived cateory. This yields a new order two autoequivalence for the Z_2 quotient of the conifold.	[ { "created": "Thu, 10 Feb 2005 22:01:21 GMT", "version": "v1" }, { "created": "Fri, 18 Feb 2005 02:28:48 GMT", "version": "v2" }, { "created": "Mon, 11 Apr 2005 19:40:21 GMT", "version": "v3" } ]	2010-10-27	[ [ "Bergman", "Aaron", "" ] ]	A number of new papers have greatly elucidated the derivation of quiver gauge theories from D-branes at a singularity. A complete story has now been developed for the total space of the canonical line bundle over a smooth Fano 2-fold. In the context of the AdS/CFT conjecture, this corresponds to eight of the ten regular Sasaki-Einstein 5-folds. Interestingly, the two remaining spaces are among the earliest examples, the sphere and T^{11}. I show how to obtain the (well-known) quivers for these theories by interpreting the canonical line bundle as the resolution of an orbifold using the McKay correspondence. I then obtain the correct quivers by undoing the orbifold. I also conjecture, in general, an autoequivalence that implements the orbifold group action on the derived cateory. This yields a new order two autoequivalence for the Z_2 quotient of the conifold.
0707.1157	Rafael Rodrigues	R. de Lima Rodrigues	On the Dirac Oscillator	10 pages, no figure. News references and comments. This work begun in collaboration with Jambunatha Jayaraman (In memory) and Arvind Narayan Vaidya (In memory), author's Ph. D. supervisors, whose advises and encouragement were fundamental in the development of the thesis. To appear in Physics Letters A	Phys.Lett.A372:2587-2591,2008	10.1016/j.physleta.2007.12.070	null	hep-th	null	In the present work we obtain a new representation for the Dirac oscillator based on the Clifford algebra $C\ell_7.$ The symmetry breaking and the energy eigenvalues for our model of the Dirac oscillator are studied in the non-relativistic limit.	[ { "created": "Sun, 8 Jul 2007 20:27:51 GMT", "version": "v1" }, { "created": "Tue, 18 Dec 2007 00:38:03 GMT", "version": "v2" } ]	2008-11-26	[ [ "Rodrigues", "R. de Lima", "" ] ]	In the present work we obtain a new representation for the Dirac oscillator based on the Clifford algebra $C\ell_7.$ The symmetry breaking and the energy eigenvalues for our model of the Dirac oscillator are studied in the non-relativistic limit.
0804.3180	Wen-Yu Wen	Eiji Nakano, Wen-Yu Wen	Critical magnetic field in AdS/CFT superconductor	8 pages, 3 figures, REVTeX v4. Typos corrected and Fig.3 replaced	Phys.Rev.D78:046004,2008	10.1103/PhysRevD.78.046004	null	hep-th cond-mat.supr-con	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We have studied a holographically dual description of superconductor in (2+1)-dimensions in the presence of applied magnetic field, and observed that there exists a critical value of magnetic field, below which a charged condensate can form via a second order phase transition.	[ { "created": "Mon, 21 Apr 2008 07:08:58 GMT", "version": "v1" }, { "created": "Sun, 11 May 2008 10:15:31 GMT", "version": "v2" } ]	2010-05-28	[ [ "Nakano", "Eiji", "" ], [ "Wen", "Wen-Yu", "" ] ]	We have studied a holographically dual description of superconductor in (2+1)-dimensions in the presence of applied magnetic field, and observed that there exists a critical value of magnetic field, below which a charged condensate can form via a second order phase transition.
hep-th/0306155	Heinz Rothe	Heinz J. Rothe	Dirac's Constrained Hamiltonian Dynamics from an Unconstrained Dynamics	10 pages	Phys.Lett.B569:90-94,2003	10.1016/j.physletb.2003.07.014	HD-THEP-03-28	hep-th	null	We derive the Hamilton equations of motion for a constrained system in the form given by Dirac, by a limiting procedure, starting from the Lagrangean for an unconstrained system. We thereby ellucidate the role played by the primary constraints and their persistance in time.	[ { "created": "Tue, 17 Jun 2003 09:06:32 GMT", "version": "v1" } ]	2011-08-17	[ [ "Rothe", "Heinz J.", "" ] ]	We derive the Hamilton equations of motion for a constrained system in the form given by Dirac, by a limiting procedure, starting from the Lagrangean for an unconstrained system. We thereby ellucidate the role played by the primary constraints and their persistance in time.
hep-th/0608092	Christian Hillmann	Christian Hillmann, Axel Kleinschmidt	Pure type I supergravity and DE(10)	28 pages	Gen.Rel.Grav.38:1861-1885,2006	10.1007/s10714-006-0352-8	AEI-2006-064	hep-th	null	We establish a dynamical equivalence between the bosonic part of pure type I supergravity in D=10 and a D=1 non-linear sigma-model on the Kac-Moody coset space DE(10)/K(DE(10)) if both theories are suitably truncated. To this end we make use of a decomposition of DE(10) under its regular SO(9,9) subgroup. Our analysis also deals partly with the fermionic fields of the supergravity theory and we define corresponding representations of the generalized spatial Lorentz group K(DE(10)).	[ { "created": "Mon, 14 Aug 2006 17:39:20 GMT", "version": "v1" } ]	2008-11-26	[ [ "Hillmann", "Christian", "" ], [ "Kleinschmidt", "Axel", "" ] ]	We establish a dynamical equivalence between the bosonic part of pure type I supergravity in D=10 and a D=1 non-linear sigma-model on the Kac-Moody coset space DE(10)/K(DE(10)) if both theories are suitably truncated. To this end we make use of a decomposition of DE(10) under its regular SO(9,9) subgroup. Our analysis also deals partly with the fermionic fields of the supergravity theory and we define corresponding representations of the generalized spatial Lorentz group K(DE(10)).
2402.13888	Saebyeok Jeong	Saebyeok Jeong, Norton Lee, Nikita Nekrasov	di-Langlands correspondence and extended observables	50+11 pages	null	null	CERN-TH-2023-220, CGP24002	hep-th math-ph math.DG math.MP math.QA nlin.SI	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We explore the $\textit{difference Langlands correspondence}$ using the four dimensional ${\mathcal{N}}=2$ super-QCD. Surface defects and surface observables play the crucial role. As an application, we give the first construction of the full set of quantum integrals, i.e. commuting differential operators, such that the partition function of the so-called regular monodromy surface defect is their joint eigenvectors in an evaluation module over the Yangian $Y(\mathfrak{gl}(2))$, making it the wavefunction of a $N$-site $\mathfrak{gl}(2)$ spin chain with bi-infinite spin modules. We construct the $\mathbf{Q}$- and $\tilde{\mathbf{Q}}$-surface observables which are believed to be the $Q$-operators on the bi-infinite module over the Yangian $Y(\mathfrak{gl}(2))$, and compute their eigenvalues, the $Q$-functions, as vevs of the surface observables.	[ { "created": "Wed, 21 Feb 2024 16:00:36 GMT", "version": "v1" } ]	2024-02-22	[ [ "Jeong", "Saebyeok", "" ], [ "Lee", "Norton", "" ], [ "Nekrasov", "Nikita", "" ] ]	We explore the $\textit{difference Langlands correspondence}$ using the four dimensional ${\mathcal{N}}=2$ super-QCD. Surface defects and surface observables play the crucial role. As an application, we give the first construction of the full set of quantum integrals, i.e. commuting differential operators, such that the partition function of the so-called regular monodromy surface defect is their joint eigenvectors in an evaluation module over the Yangian $Y(\mathfrak{gl}(2))$, making it the wavefunction of a $N$-site $\mathfrak{gl}(2)$ spin chain with bi-infinite spin modules. We construct the $\mathbf{Q}$- and $\tilde{\mathbf{Q}}$-surface observables which are believed to be the $Q$-operators on the bi-infinite module over the Yangian $Y(\mathfrak{gl}(2))$, and compute their eigenvalues, the $Q$-functions, as vevs of the surface observables.
hep-th/0206017	Freddy A. Cachazo B.	Freddy Cachazo, Cumrun Vafa	N=1 and N=2 Geometry from Fluxes	27 pages, 1 figure	null	null	null	hep-th	null	We provide a proof of the equivalence of N=1 dynamics obtained by deforming N=2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes. In particular we show that minimization of the superpotential involving gaugino fields is equivalent to finding loci where Seiberg-Witten curve has certain factorization property. Moreover, by considering the limit of turning off of the superpotential we obtain the full low energy dynamics of N=2 gauge systems from Calabi-Yau geometries with fluxes.	[ { "created": "Mon, 3 Jun 2002 17:09:06 GMT", "version": "v1" } ]	2007-05-23	[ [ "Cachazo", "Freddy", "" ], [ "Vafa", "Cumrun", "" ] ]	We provide a proof of the equivalence of N=1 dynamics obtained by deforming N=2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes. In particular we show that minimization of the superpotential involving gaugino fields is equivalent to finding loci where Seiberg-Witten curve has certain factorization property. Moreover, by considering the limit of turning off of the superpotential we obtain the full low energy dynamics of N=2 gauge systems from Calabi-Yau geometries with fluxes.
1406.5650	Koki Takesue	Atsushi Nakamula, Nobuyuki Sawado, and Koki Takesue	Aspects of $C_3$-symmetric calorons from numerical Nahm transform	7 pages, 3 figures	null	10.1088/1742-6596/563/1/012032	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Calorons are finite action solutions to the anti-selfdual Yang-Mills equations on $\mathbb{R}^3\times S^1$. They are generally constructed by the so called Nahm construction. We perform the numerical Nahm transform for the Nahm data of 3-calorons with $C_3$-symmetry, which do not have the monopole limits. Dissimilar to the cases of having monopole limits, we can trace the zero-circumference limit of $S^1$.It is found that the action density of the calorons tends to fade away as $S^1$ shrinks.	[ { "created": "Sat, 21 Jun 2014 21:07:18 GMT", "version": "v1" } ]	2015-06-22	[ [ "Nakamula", "Atsushi", "" ], [ "Sawado", "Nobuyuki", "" ], [ "Takesue", "Koki", "" ] ]	Calorons are finite action solutions to the anti-selfdual Yang-Mills equations on $\mathbb{R}^3\times S^1$. They are generally constructed by the so called Nahm construction. We perform the numerical Nahm transform for the Nahm data of 3-calorons with $C_3$-symmetry, which do not have the monopole limits. Dissimilar to the cases of having monopole limits, we can trace the zero-circumference limit of $S^1$.It is found that the action density of the calorons tends to fade away as $S^1$ shrinks.
1312.7168	Rolf Schimmrigk	Rolf Schimmrigk	Automorphic Black Hole Entropy	Invited review	null	10.1142/S0217732313300267	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Over the past few years the understanding of the microscopic theory of black hole entropy has made important conceptual progress by recognizing that the degeneracies are encoded in partition functions which are determined by higher rank automorphic representations, in particular in the context of Siegel modular forms of genus two. In this brief review some of the elements of this framework are highlighted. One of the surprising aspects is that the Siegel forms that have appeared in the entropic framework are geometric in origin, arising from weight two cusp forms, hence from elliptic curves.	[ { "created": "Fri, 27 Dec 2013 01:18:39 GMT", "version": "v1" } ]	2015-06-18	[ [ "Schimmrigk", "Rolf", "" ] ]	Over the past few years the understanding of the microscopic theory of black hole entropy has made important conceptual progress by recognizing that the degeneracies are encoded in partition functions which are determined by higher rank automorphic representations, in particular in the context of Siegel modular forms of genus two. In this brief review some of the elements of this framework are highlighted. One of the surprising aspects is that the Siegel forms that have appeared in the entropic framework are geometric in origin, arising from weight two cusp forms, hence from elliptic curves.
hep-th/9611150	null	R Delbourgo, D Elliott and D McAnally	Dimensional Renormalization in phi^3 theory: ladders and rainbows	11 pages, LaTeX, no figures	Phys.Rev.D55:5230-5233,1997	10.1103/PhysRevD.55.5230	UTAS-PHYS-96-06	hep-th	null	The sum of all ladder and rainbow diagrams in $\phi^3$ theory near 6 dimensions leads to self-consistent higher order differential equations in coordinate space which are not particularly simple for arbitrary dimension D. We have now succeeded in solving these equations, expressing the results in terms of generalized hypergeometric functions; the expansion and representation of these functions can then be used to prove the absence of renormalization factors which are transcendental for this theory and this topology to all orders in perturbation theory. The correct anomalous scaling dimensions of the Green functions are also obtained in the six-dimensional limit.	[ { "created": "Wed, 20 Nov 1996 15:04:00 GMT", "version": "v1" } ]	2008-11-26	[ [ "Delbourgo", "R", "" ], [ "Elliott", "D", "" ], [ "McAnally", "D", "" ] ]	The sum of all ladder and rainbow diagrams in $\phi^3$ theory near 6 dimensions leads to self-consistent higher order differential equations in coordinate space which are not particularly simple for arbitrary dimension D. We have now succeeded in solving these equations, expressing the results in terms of generalized hypergeometric functions; the expansion and representation of these functions can then be used to prove the absence of renormalization factors which are transcendental for this theory and this topology to all orders in perturbation theory. The correct anomalous scaling dimensions of the Green functions are also obtained in the six-dimensional limit.
1509.08505	Wout Merbis	Daniel Grumiller and Wout Merbis	Free energy of topologically massive gravity and flat space holography	9 pages, prepared for the proceedings of the Karl Schwarzschild meeting 2015. v2. Typo's corrected and ref's added	null	null	TUW-15-18	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We calculate the free energy from the on-shell action for topologically massive gravity with negative and vanishing cosmological constant, thereby providing a first principles derivation of the free energy of Banados-Teitelboim-Zanelli (BTZ) black holes and flat space cosmologies. We summarize related recent checks of flat space holography.	[ { "created": "Mon, 28 Sep 2015 20:56:06 GMT", "version": "v1" }, { "created": "Tue, 4 Jul 2017 10:30:36 GMT", "version": "v2" } ]	2017-07-05	[ [ "Grumiller", "Daniel", "" ], [ "Merbis", "Wout", "" ] ]	We calculate the free energy from the on-shell action for topologically massive gravity with negative and vanishing cosmological constant, thereby providing a first principles derivation of the free energy of Banados-Teitelboim-Zanelli (BTZ) black holes and flat space cosmologies. We summarize related recent checks of flat space holography.
2201.09860	Amir Abbass Varshovi	A. A. Varshovi	Brownian Motion in the Hilbert Space of Quantum States along with the Ricci Flow and Stochastically Emergent Einstein-Hilbert Action: Formulating a Well-Defined Feynman Path-Integral Measure for Quantum Fields in the Presence of Gravity	30 pages	null	null	null	hep-th gr-qc math-ph math.MP	http://creativecommons.org/licenses/by/4.0/	In this paper, we aim to interpret the background gravitational effects appearing in quantum field theory on curved space-time by studying the Brownian motion of quantum states along with the Hamilton-Perelman Ricci flow. It has been shown that the Wiener measure automatically contains the Einstein-Hilbert action and the path-integral formulation of the scalar quantum field theory on curved space-time at the first order of local approximations. This provides a well-defined formulation of the path-integral measure for quantum field theory in the presence of gravity. However, we establish that the emergence of Einstein-Hilbert action is independent of the matter field interactions and is a merely entropic/geometric effect stemming from the nature of the Ricci flow of the universe geometry. We also extract an explicit formula for the cosmological constant in terms of the Ricci flow and the Hamilton theorem for 3-manifolds. Then, we discuss the cosmological features of the FLRW solution in the LambdaCDM Model via the derived equations of the Ricci flow. We also argue the correlation between our formulations and the entropic aspects of gravity. Finally, we provide some theoretical evidence that proves the second law of thermodynamics is the basic source of gravity and probably a more fundamental concept.	[ { "created": "Mon, 24 Jan 2022 18:34:07 GMT", "version": "v1" }, { "created": "Tue, 5 Apr 2022 18:30:52 GMT", "version": "v2" }, { "created": "Sun, 16 Jun 2024 03:56:29 GMT", "version": "v3" } ]	2024-06-18	[ [ "Varshovi", "A. A.", "" ] ]	In this paper, we aim to interpret the background gravitational effects appearing in quantum field theory on curved space-time by studying the Brownian motion of quantum states along with the Hamilton-Perelman Ricci flow. It has been shown that the Wiener measure automatically contains the Einstein-Hilbert action and the path-integral formulation of the scalar quantum field theory on curved space-time at the first order of local approximations. This provides a well-defined formulation of the path-integral measure for quantum field theory in the presence of gravity. However, we establish that the emergence of Einstein-Hilbert action is independent of the matter field interactions and is a merely entropic/geometric effect stemming from the nature of the Ricci flow of the universe geometry. We also extract an explicit formula for the cosmological constant in terms of the Ricci flow and the Hamilton theorem for 3-manifolds. Then, we discuss the cosmological features of the FLRW solution in the LambdaCDM Model via the derived equations of the Ricci flow. We also argue the correlation between our formulations and the entropic aspects of gravity. Finally, we provide some theoretical evidence that proves the second law of thermodynamics is the basic source of gravity and probably a more fundamental concept.
2003.06425	Ioannis Papadimitriou	Giorgos Anastasiou, Olivera Miskovic, Rodrigo Olea, Ioannis Papadimitriou	Counterterms, Kounterterms, and the variational problem in AdS gravity	48 pages	null	10.1007/JHEP08(2020)061	KIAS-P20010	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the Kounterterms lead to a well posed variational problem for generic asymptotically locally AdS manifolds only in four dimensions. We determine the exact form of the counterterms for conformally flat boundaries and demonstrate that, in even dimensions, the Kounterterms take exactly the same form. This agreement can be understood as a consequence of Anderson's theorem for the renormalized volume of conformally compact Einstein 4-manifolds and its higher dimensional generalizations by Albin and Chang, Qing and Yang. For odd dimensional asymptotically locally AdS manifolds with a conformally flat boundary, the Kounterterms coincide with the boundary counterterms except for the logarithmic divergence associated with the holographic conformal anomaly, and finite local terms.	[ { "created": "Fri, 13 Mar 2020 18:00:02 GMT", "version": "v1" } ]	2020-12-02	[ [ "Anastasiou", "Giorgos", "" ], [ "Miskovic", "Olivera", "" ], [ "Olea", "Rodrigo", "" ], [ "Papadimitriou", "Ioannis", "" ] ]	We show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the Kounterterms lead to a well posed variational problem for generic asymptotically locally AdS manifolds only in four dimensions. We determine the exact form of the counterterms for conformally flat boundaries and demonstrate that, in even dimensions, the Kounterterms take exactly the same form. This agreement can be understood as a consequence of Anderson's theorem for the renormalized volume of conformally compact Einstein 4-manifolds and its higher dimensional generalizations by Albin and Chang, Qing and Yang. For odd dimensional asymptotically locally AdS manifolds with a conformally flat boundary, the Kounterterms coincide with the boundary counterterms except for the logarithmic divergence associated with the holographic conformal anomaly, and finite local terms.
1412.0226	Alexander Reshetnyak	Pavel Yu. Moshin and Alexander A. Reshetnyak	Finite BRST-antiBRST Transformations for the Theories with Gauge Group	6 pages, based on the talk at "Quantum Field Theory and Gravity 2014" (QFTG'2014, July 28-August 3, 2014, Tomsk, Russia) to appear in TSPU Bulletin 12 (2014)	TSPU Bulletin 12 (2014) 189-194	null	null	hep-th math-ph math.DS math.MP math.RT quant-ph	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Following our recent study [P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92], we discuss the notion of finite BRST-antiBRST transformations, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting (both global and field-dependent) Grassmann parameters. It turns out that the global finite BRST-antiBRST transformations form a 2-parametric Abelian supergroup. We find an explicit Jacobian corresponding to this change of variables in the theories with a gauge group. Special field-dependent BRST-antiBRST transformations for the Yang--Mills path integral with $s_{a}$-potential (functionally-dependent) parameters $\lambda_{a}=s_{a}\Lambda$ generated by a finite even-valued functional $\Lambda$ and the anticommuting generators $s_{a}$ of BRST-antiBRST transformations, amount to a precise change of the gauge-fixing functional. This proves the independence of the vacuum functional under such BRST-antiBRST transformations and leads to the presence of modified Ward identities. The form of transformation parameters that induces a change of the gauge in the path integral is found and is exactly evaluated for connecting two arbitrary $R_{\xi}$-like gauges. The finite field-dependent BRST-antiBRST transformations are used to generalize the Gribov horizon functional $h_{ 0 }$, in the Landau gauge of the BRST-antiBRST setting in the Gribov--Zwanziger model, and to find $h_{\xi}$ corresponding to general $R_{\xi}$-like gauges in the form compatible with a gauge-independent $S$-matrix.	[ { "created": "Sun, 30 Nov 2014 15:13:34 GMT", "version": "v1" } ]	2014-12-11	[ [ "Moshin", "Pavel Yu.", "" ], [ "Reshetnyak", "Alexander A.", "" ] ]	Following our recent study [P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92], we discuss the notion of finite BRST-antiBRST transformations, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting (both global and field-dependent) Grassmann parameters. It turns out that the global finite BRST-antiBRST transformations form a 2-parametric Abelian supergroup. We find an explicit Jacobian corresponding to this change of variables in the theories with a gauge group. Special field-dependent BRST-antiBRST transformations for the Yang--Mills path integral with $s_{a}$-potential (functionally-dependent) parameters $\lambda_{a}=s_{a}\Lambda$ generated by a finite even-valued functional $\Lambda$ and the anticommuting generators $s_{a}$ of BRST-antiBRST transformations, amount to a precise change of the gauge-fixing functional. This proves the independence of the vacuum functional under such BRST-antiBRST transformations and leads to the presence of modified Ward identities. The form of transformation parameters that induces a change of the gauge in the path integral is found and is exactly evaluated for connecting two arbitrary $R_{\xi}$-like gauges. The finite field-dependent BRST-antiBRST transformations are used to generalize the Gribov horizon functional $h_{ 0 }$, in the Landau gauge of the BRST-antiBRST setting in the Gribov--Zwanziger model, and to find $h_{\xi}$ corresponding to general $R_{\xi}$-like gauges in the form compatible with a gauge-independent $S$-matrix.
1203.6892	Sean Downes	Sean Downes, Bhaskar Dutta, Kuver Sinha	Attractors, Universality and Inflation	32 pages, 8 figures. Typos and figures fixed	Phys. Rev. D86, 103509 (2012)	10.1103/PhysRevD.86.103509	null	hep-th astro-ph.CO gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Studies of the initial conditions for inflation have conflicting predictions from exponential suppression to inevitability. At the level of phase space, this conflict arises from the competing intuitions of CPT invariance and thermodynamics. After reviewing this conflict, we enlarge the ensemble beyond phase space to include scalar potential data. We show how this leads to an important contribution from inflection point inflation, enhancing the likelihood of inflation to an inverse cubic power law. In the process, we emphasize the attractor dynamics of the gravity-scalar system and the existence of universality classes from inflection point inflation. Finally, we comment on the predictivity of inflation in light of these results.	[ { "created": "Fri, 30 Mar 2012 19:10:51 GMT", "version": "v1" }, { "created": "Mon, 11 Jun 2012 02:47:26 GMT", "version": "v2" }, { "created": "Fri, 27 Jul 2012 21:04:59 GMT", "version": "v3" } ]	2012-11-20	[ [ "Downes", "Sean", "" ], [ "Dutta", "Bhaskar", "" ], [ "Sinha", "Kuver", "" ] ]	Studies of the initial conditions for inflation have conflicting predictions from exponential suppression to inevitability. At the level of phase space, this conflict arises from the competing intuitions of CPT invariance and thermodynamics. After reviewing this conflict, we enlarge the ensemble beyond phase space to include scalar potential data. We show how this leads to an important contribution from inflection point inflation, enhancing the likelihood of inflation to an inverse cubic power law. In the process, we emphasize the attractor dynamics of the gravity-scalar system and the existence of universality classes from inflection point inflation. Finally, we comment on the predictivity of inflation in light of these results.
hep-th/9802094	Ron Donagi	Ron Y. Donagi	Taniguchi Lecture on Principal Bundles on Elliptic Fibrations	17 pages, Latex	null	null	null	hep-th math.AG	null	In this talk we discuss the description of the moduli space of principal G-bundles on an elliptic fibration X-->S in terms of cameral covers and their distinguished Prym varieties. We emphasize the close relationship between this problem and the integrability of Hitchin's system and its generalizations. The discussion roughly parallels that of [D2], but additional examples are included and some important steps of the argument are illustrated. Some of the applications to heterotic/F-theory duality were described in the accompanying ICMP talk (hep-th/9802093).	[ { "created": "Thu, 12 Feb 1998 22:58:22 GMT", "version": "v1" } ]	2007-05-23	[ [ "Donagi", "Ron Y.", "" ] ]	In this talk we discuss the description of the moduli space of principal G-bundles on an elliptic fibration X-->S in terms of cameral covers and their distinguished Prym varieties. We emphasize the close relationship between this problem and the integrability of Hitchin's system and its generalizations. The discussion roughly parallels that of [D2], but additional examples are included and some important steps of the argument are illustrated. Some of the applications to heterotic/F-theory duality were described in the accompanying ICMP talk (hep-th/9802093).
1009.5768	Suresh Nampuri Mr.	Suresh Nampuri, Masoud Soroush	New Perspectives on Attractor Flows and Trees from CFT	28 pages, 3 figures, References added and clarifications	null	null	ASC-LMU 69/10	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	In this note, we use the first order formalism for attractor flows in N=2 SUGRA extremal black hole backgrounds to establish a formal correspondence between the RG flow of moduli in the underlying N=(2,2) SCFT and bulk attractor flows. Starting from a study of moduli flow trajectories in the CFT, we derive a potential which generates the aforesaid flow. This potential is shown to be a symplectic invariant with the same form as the black hole potential which drives the attractor flows in the bulk. We use these results to make comments on the non-renormalization of extremal black hole entropy and indicate a similar correspondence for two-centered forked flows in CFT.	[ { "created": "Wed, 29 Sep 2010 04:35:35 GMT", "version": "v1" }, { "created": "Sun, 3 Oct 2010 19:05:09 GMT", "version": "v2" }, { "created": "Mon, 24 Oct 2011 12:27:55 GMT", "version": "v3" } ]	2015-03-17	[ [ "Nampuri", "Suresh", "" ], [ "Soroush", "Masoud", "" ] ]	In this note, we use the first order formalism for attractor flows in N=2 SUGRA extremal black hole backgrounds to establish a formal correspondence between the RG flow of moduli in the underlying N=(2,2) SCFT and bulk attractor flows. Starting from a study of moduli flow trajectories in the CFT, we derive a potential which generates the aforesaid flow. This potential is shown to be a symplectic invariant with the same form as the black hole potential which drives the attractor flows in the bulk. We use these results to make comments on the non-renormalization of extremal black hole entropy and indicate a similar correspondence for two-centered forked flows in CFT.
hep-th/9210074	Craig Tracy	Craig A. Tracy and Harold Widom	Level-Spacing Distributions and the Airy Kernel	9 pages	Phys.Lett. B305 (1993) 115-118	10.1016/0370-2693(93)91114-3	ITD 92/93-11	hep-th cond-mat math-ph math.MP nlin.SI solv-int	null	Scaling level-spacing distribution functions in the ``bulk of the spectrum'' in random matrix models of $N\times N$ hermitian matrices and then going to the limit $N\to\infty$, leads to the Fredholm determinant of the sine kernel $\sin\pi(x-y)/\pi (x-y)$. Similarly a double scaling limit at the ``edge of the spectrum'' leads to the Airy kernel $[{\rm Ai}(x) {\rm Ai}'(y) -{\rm Ai}'(x) {\rm Ai}(y)]/(x-y)$. We announce analogies for this Airy kernel of the following properties of the sine kernel: the completely integrable system of P.D.E.'s found by Jimbo, Miwa, M{\^o}ri and Sato; the expression, in the case of a single interval, of the Fredholm determinant in terms of a Painlev{\'e} transcendent; the existence of a commuting differential operator; and the fact that this operator can be used in the derivation of asymptotics, for general $n$, of the probability that an interval contains precisely $n$ eigenvalues.	[ { "created": "Wed, 14 Oct 1992 00:52:35 GMT", "version": "v1" } ]	2009-07-13	[ [ "Tracy", "Craig A.", "" ], [ "Widom", "Harold", "" ] ]	Scaling level-spacing distribution functions in the ``bulk of the spectrum'' in random matrix models of $N\times N$ hermitian matrices and then going to the limit $N\to\infty$, leads to the Fredholm determinant of the sine kernel $\sin\pi(x-y)/\pi (x-y)$. Similarly a double scaling limit at the ``edge of the spectrum'' leads to the Airy kernel $[{\rm Ai}(x) {\rm Ai}'(y) -{\rm Ai}'(x) {\rm Ai}(y)]/(x-y)$. We announce analogies for this Airy kernel of the following properties of the sine kernel: the completely integrable system of P.D.E.'s found by Jimbo, Miwa, M{\^o}ri and Sato; the expression, in the case of a single interval, of the Fredholm determinant in terms of a Painlev{\'e} transcendent; the existence of a commuting differential operator; and the fact that this operator can be used in the derivation of asymptotics, for general $n$, of the probability that an interval contains precisely $n$ eigenvalues.
1912.01961	Mikhail Altaisky	M. V. Altaisky	Wavelet regularization of gauge theories	15 LaTeX pages, 8 figures	Phys. Rev. D 101, 105004 (2020)	10.1103/PhysRevD.101.105004	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Extending the principle of local gauge invariance $\psi(x)\to \exp\left(\imath \sum_A \omega^A(x)T^A \right) \psi(x), x \in \mathbb{R}^d$, with $T^A$ being the generators of the gauge group $\mathcal{A}$, to the fields $\psi(g)\equiv \langle \chi\|\Omega^*(g)\|\psi\rangle$, defined on a locally compact Lie group $G$, $g\in G$, where $\Omega(g)$ is suitable square-integrable representation of $G$, it is shown that taking the coordinates ($g$) on the affine group, we get a gauge theory that is finite by construction. The renormalization group in the constructed theory relates to each other the charges measured at different scales. The case of the $\mathcal{A}=SU(N)$ gauge group is considered.	[ { "created": "Tue, 26 Nov 2019 05:35:16 GMT", "version": "v1" }, { "created": "Fri, 6 Dec 2019 17:49:46 GMT", "version": "v2" }, { "created": "Wed, 25 Mar 2020 07:48:54 GMT", "version": "v3" }, { "created": "Thu, 7 May 2020 08:40:22 GMT", "version": "v4" } ]	2020-05-13	[ [ "Altaisky", "M. V.", "" ] ]	Extending the principle of local gauge invariance $\psi(x)\to \exp\left(\imath \sum_A \omega^A(x)T^A \right) \psi(x), x \in \mathbb{R}^d$, with $T^A$ being the generators of the gauge group $\mathcal{A}$, to the fields $\psi(g)\equiv \langle \chi\|\Omega^*(g)\|\psi\rangle$, defined on a locally compact Lie group $G$, $g\in G$, where $\Omega(g)$ is suitable square-integrable representation of $G$, it is shown that taking the coordinates ($g$) on the affine group, we get a gauge theory that is finite by construction. The renormalization group in the constructed theory relates to each other the charges measured at different scales. The case of the $\mathcal{A}=SU(N)$ gauge group is considered.
1108.2677	Khalid Saifullah	Jamil Ahmed and K. Saifullah	Hawking radiation of Dirac particles from black strings	null	JCAP 08 (2011) 011	10.1088/1475-7516/2011/08/011	null	hep-th gr-qc math-ph math.MP	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Hawking radiation has been studied as a phenomenon of quantum tunneling in different black holes. In this paper we extend this semi-classical approach to cylindrically symmetric black holes. Using the Hamilton-Jacobi method and WKB approximation we calculate the tunneling probabilities of incoming and outgoing Dirac particles from the event horizon and find the Hawking temperature of these black holes. We obtain results both for uncharged as well as charged particles.	[ { "created": "Fri, 12 Aug 2011 18:09:31 GMT", "version": "v1" } ]	2015-05-30	[ [ "Ahmed", "Jamil", "" ], [ "Saifullah", "K.", "" ] ]	Hawking radiation has been studied as a phenomenon of quantum tunneling in different black holes. In this paper we extend this semi-classical approach to cylindrically symmetric black holes. Using the Hamilton-Jacobi method and WKB approximation we calculate the tunneling probabilities of incoming and outgoing Dirac particles from the event horizon and find the Hawking temperature of these black holes. We obtain results both for uncharged as well as charged particles.
1309.7578	Mike Hewitt	Michael Hewitt	Thermal duality and gravitational collapse in heterotic string theories	28 pages, 3 figures Revised estimate for the conversion time scale in this version	null	null	null	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	The thermal duality of E(8) x E(8) and SO(32) heterotic string theories may underpin a mechanism that would convert the kinetic energy of infalling matter during gravitational collapse to form a region of a hot string phase that would expel gravitational gradients. This phase would be the continuation of a Ginzburg-Landau like superconductor in the Euclidean regime. In this scenario, there would be no event horizon or singularity produced in gravitational collapse. Solutions are presented for excitations of the string vacuum that may form during gravitational collapse and drive the transition to the hot phase. The proposed mechanism is developed here for the case of approximately spherical gravitational collapse in 4 uncompactified spacetime dimensions. A way to reconcile the large entropy apparently produced in this process with quantum mechanics is briefly discussed. In this scenario, astrophysical objects such as stellar or galactic cores which have undergone extreme gravitational collapse would currently be sites of an on-going conversion process to shells of this high temperature phase. The relationship of this proposal to the `firewall paradox' is noted.	[ { "created": "Sun, 29 Sep 2013 11:32:14 GMT", "version": "v1" }, { "created": "Fri, 4 Oct 2013 11:02:17 GMT", "version": "v2" }, { "created": "Mon, 10 Mar 2014 18:47:17 GMT", "version": "v3" }, { "created": "Tue, 9 Dec 2014 16:52:42 GMT", "version": "v4" }, { "created": "Sat, 4 Jul 2015 15:16:49 GMT", "version": "v5" } ]	2015-07-07	[ [ "Hewitt", "Michael", "" ] ]	The thermal duality of E(8) x E(8) and SO(32) heterotic string theories may underpin a mechanism that would convert the kinetic energy of infalling matter during gravitational collapse to form a region of a hot string phase that would expel gravitational gradients. This phase would be the continuation of a Ginzburg-Landau like superconductor in the Euclidean regime. In this scenario, there would be no event horizon or singularity produced in gravitational collapse. Solutions are presented for excitations of the string vacuum that may form during gravitational collapse and drive the transition to the hot phase. The proposed mechanism is developed here for the case of approximately spherical gravitational collapse in 4 uncompactified spacetime dimensions. A way to reconcile the large entropy apparently produced in this process with quantum mechanics is briefly discussed. In this scenario, astrophysical objects such as stellar or galactic cores which have undergone extreme gravitational collapse would currently be sites of an on-going conversion process to shells of this high temperature phase. The relationship of this proposal to the `firewall paradox' is noted.
hep-th/0302064	Valentin V. Khoze	George Georgiou and Valentin V. Khoze	BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave	32 pages, 13 figures	JHEP 0304 (2003) 015	10.1088/1126-6708/2003/04/015	null	hep-th	null	We calculate 3-point correlation functions of Delta-BMN operators with 3 scalar impurites in N=4 supersymmetric gauge theory. We use these results to test the pp-wave/SYM duality correspondence of the vertex--correlator type. This correspondence relates the coefficients of 3-point correlators of Delta-BMN operators in gauge theory to the 3-string vertex in lightcone string field theory in the pp-wave background. We verify the vertex--correlator duality equation of hep-th/0301036 at the 3 scalar impurites level for supergravity and for string modes.	[ { "created": "Mon, 10 Feb 2003 11:31:36 GMT", "version": "v1" } ]	2009-11-10	[ [ "Georgiou", "George", "" ], [ "Khoze", "Valentin V.", "" ] ]	We calculate 3-point correlation functions of Delta-BMN operators with 3 scalar impurites in N=4 supersymmetric gauge theory. We use these results to test the pp-wave/SYM duality correspondence of the vertex--correlator type. This correspondence relates the coefficients of 3-point correlators of Delta-BMN operators in gauge theory to the 3-string vertex in lightcone string field theory in the pp-wave background. We verify the vertex--correlator duality equation of hep-th/0301036 at the 3 scalar impurites level for supergravity and for string modes.
hep-th/9802051	Ashoke sen	Ashoke Sen	An Introduction to Non-perturbative String Theory	LaTeX file, 129 pages, 22 figures, Lectures given at Isaac Newton Institute and DAMTP, Cambridge, references added, typos corrected	null	null	MRI/PHY/P980235	hep-th gr-qc hep-ph	null	In this review I discuss some basic aspects of non-perturbative string theory. The topics include test of duality symmetries based on the analysis of the low energy effective action and the spectrum of BPS states, relationship between different duality symmetries, an introduction to M- and F-theories, black hole entropy in string theory, and Matrix theory.	[ { "created": "Mon, 9 Feb 1998 04:50:59 GMT", "version": "v1" }, { "created": "Sun, 15 Feb 1998 18:24:32 GMT", "version": "v2" } ]	2007-05-23	[ [ "Sen", "Ashoke", "" ] ]	In this review I discuss some basic aspects of non-perturbative string theory. The topics include test of duality symmetries based on the analysis of the low energy effective action and the spectrum of BPS states, relationship between different duality symmetries, an introduction to M- and F-theories, black hole entropy in string theory, and Matrix theory.
1912.09491	Ning Bao	Kartiek Agarwal and Ning Bao	A toy model for decoherence in the black hole information problem	6 pages + references, 2 figures, version to appear in PRD, included further justification for the model and additional arguments	Phys. Rev. D 102, 086017 (2020)	10.1103/PhysRevD.102.086017	null	hep-th cond-mat.stat-mech quant-ph	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We investigate a plausible route to resolving the black hole information paradox by examining the effects of decoherence on Hawking radiation. In particular, we show that a finite but non-zero rate of decoherence can lead to efficient extraction of information from the evaporating black hole. This effectively pushes the paradox from becoming manifest at the Page time when the black hole has evaporated to half its size, to a timescale solely determined by the rate of decoherence. If this rate is due to a putative interaction with gravitons, the black hole at this timescale can be expected to be Planck-sized, but notably without an extensive amount of information packed inside. We justify our findings by numerically studying a toy model of stabilizer circuits that can efficiently model black hole evaporation in the presence of decoherence. The latter is found to be well described by an effective rate equation for the entanglement and which corroborates our findings.	[ { "created": "Thu, 19 Dec 2019 19:00:52 GMT", "version": "v1" }, { "created": "Thu, 24 Sep 2020 20:35:10 GMT", "version": "v2" } ]	2020-10-28	[ [ "Agarwal", "Kartiek", "" ], [ "Bao", "Ning", "" ] ]	We investigate a plausible route to resolving the black hole information paradox by examining the effects of decoherence on Hawking radiation. In particular, we show that a finite but non-zero rate of decoherence can lead to efficient extraction of information from the evaporating black hole. This effectively pushes the paradox from becoming manifest at the Page time when the black hole has evaporated to half its size, to a timescale solely determined by the rate of decoherence. If this rate is due to a putative interaction with gravitons, the black hole at this timescale can be expected to be Planck-sized, but notably without an extensive amount of information packed inside. We justify our findings by numerically studying a toy model of stabilizer circuits that can efficiently model black hole evaporation in the presence of decoherence. The latter is found to be well described by an effective rate equation for the entanglement and which corroborates our findings.
hep-th/0109149	Lubos Motl	Lubos Motl	Nonperturbative Formulations of Superstring Theory	PhD thesis, 156 pages, 4 figures, LaTeX, ruthesis macro	null	null	HEP-UK-0012	hep-th	null	After a short introduction to Matrix theory, we explain how can one generalize matrix models to describe toroidal compactifications of M-theory and the heterotic vacua with 16 supercharges. This allows us, for the first time in history, to derive the conventional perturbative type IIA string theory known in the 80s within a complete and consistent nonperturbative framework, using the language of orbifold conformal field theory and conformal perturbation methods. A separate chapter is dedicated to the vacua with Horava-Witten domain walls that carry E8 gauge supermultiplets. Those reduce the gauge symmetry of the matrix model from U(N) to O(N). We also explain why these models contain open membranes. The compactification of M-theory on T4 involves the so-called (2,0) superconformal field theory in six dimensions, compactified on T5. A separate chapter describes an interesting topological contribution to the low energy equations of motion on the Coulomb branch of the (2,0) theory that admits a skyrmionic solution that we call ``knitting fivebranes''. Then we return to the orbifolds of Matrix theory and construct a formal classical matrix model of the Scherk-Schwarz compactification of M-theory and type IIA string theory as well as type 0 theories. We show some disastrous consequences of the broken supersymmetry. Last two chapters describe a hyperbolic structure of the moduli spaces of one-dimensional M-theory.	[ { "created": "Wed, 19 Sep 2001 19:31:55 GMT", "version": "v1" } ]	2007-05-23	[ [ "Motl", "Lubos", "" ] ]	After a short introduction to Matrix theory, we explain how can one generalize matrix models to describe toroidal compactifications of M-theory and the heterotic vacua with 16 supercharges. This allows us, for the first time in history, to derive the conventional perturbative type IIA string theory known in the 80s within a complete and consistent nonperturbative framework, using the language of orbifold conformal field theory and conformal perturbation methods. A separate chapter is dedicated to the vacua with Horava-Witten domain walls that carry E8 gauge supermultiplets. Those reduce the gauge symmetry of the matrix model from U(N) to O(N). We also explain why these models contain open membranes. The compactification of M-theory on T4 involves the so-called (2,0) superconformal field theory in six dimensions, compactified on T5. A separate chapter describes an interesting topological contribution to the low energy equations of motion on the Coulomb branch of the (2,0) theory that admits a skyrmionic solution that we call ``knitting fivebranes''. Then we return to the orbifolds of Matrix theory and construct a formal classical matrix model of the Scherk-Schwarz compactification of M-theory and type IIA string theory as well as type 0 theories. We show some disastrous consequences of the broken supersymmetry. Last two chapters describe a hyperbolic structure of the moduli spaces of one-dimensional M-theory.
hep-th/0012035	Marialuisa Frau	M. Frau, A. Liccardo and R. Musto	The Geometry of Fractional Branes	Latex file, 23 pages	Nucl.Phys. B602 (2001) 39-60	10.1016/S0550-3213(01)00107-9	DFTT 42/2000, DSF 35/2000	hep-th	null	By looking at fractional Dp-branes of type IIA on T_4/Z_2 as wrapped branes and by using boundary state techniques we construct the effective low-energy action for the fields generated by fractional branes, build their world-volume action and find the corresponding classical geometry. The explicit form of the classical background is consistent only outside an enhancon sphere of radius r_e, which encloses a naked singularity of repulson-type. The perturbative running of the gauge coupling constant, dictated by the NS-NS twisted field that keeps its one-loop expression at any distance, also fails at r_e.	[ { "created": "Tue, 5 Dec 2000 16:38:09 GMT", "version": "v1" }, { "created": "Fri, 22 Dec 2000 12:58:56 GMT", "version": "v2" } ]	2009-10-31	[ [ "Frau", "M.", "" ], [ "Liccardo", "A.", "" ], [ "Musto", "R.", "" ] ]	By looking at fractional Dp-branes of type IIA on T_4/Z_2 as wrapped branes and by using boundary state techniques we construct the effective low-energy action for the fields generated by fractional branes, build their world-volume action and find the corresponding classical geometry. The explicit form of the classical background is consistent only outside an enhancon sphere of radius r_e, which encloses a naked singularity of repulson-type. The perturbative running of the gauge coupling constant, dictated by the NS-NS twisted field that keeps its one-loop expression at any distance, also fails at r_e.
0909.0250	David Skinner	Lionel Mason and David Skinner	Dual Superconformal Invariance, Momentum Twistors and Grassmannians	1+36 pages, 7 figures. Minor typos corrected	JHEP 0911:045,2009	10.1088/1126-6708/2009/11/045	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in N=4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudes in terms of `momentum twistors', as opposed to the usual twistors that make the ordinary superconformal properties manifest. The relation between momentum twistors and on-shell momenta is algebraic, so the translation procedure does not rely on any choice of space-time signature. We show that tree amplitudes and box coefficients are succinctly generated by integration of holomorphic delta-functions in momentum twistors over cycles in a Grassmannian. This is analogous to, although distinct from, recent results obtained by Arkani-Hamed et al. in ordinary twistor space. We also make contact with Hodges' polyhedral representation of NMHV amplitudes in momentum twistor space.	[ { "created": "Tue, 1 Sep 2009 19:24:34 GMT", "version": "v1" }, { "created": "Mon, 26 Oct 2009 17:05:01 GMT", "version": "v2" } ]	2009-11-18	[ [ "Mason", "Lionel", "" ], [ "Skinner", "David", "" ] ]	Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in N=4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudes in terms of `momentum twistors', as opposed to the usual twistors that make the ordinary superconformal properties manifest. The relation between momentum twistors and on-shell momenta is algebraic, so the translation procedure does not rely on any choice of space-time signature. We show that tree amplitudes and box coefficients are succinctly generated by integration of holomorphic delta-functions in momentum twistors over cycles in a Grassmannian. This is analogous to, although distinct from, recent results obtained by Arkani-Hamed et al. in ordinary twistor space. We also make contact with Hodges' polyhedral representation of NMHV amplitudes in momentum twistor space.
0810.5001	Ivonne Zavala	A. Avgoustidis, I. Zavala	Warped Wilson Line DBI Inflation	v3: Typos corrected, Published in JCAP; 21 pages	JCAP 0901:045,2009	10.1088/1475-7516/2009/01/045	UB-ECM-PF/08/18, IPPP/08/60, DCPT/08/120	hep-th astro-ph hep-ph	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We propose a novel inflationary scenario in string theory in which the inflaton field is a 'Wilson line' degree of freedom in the worldvolume of a probe Dp-brane, in a warped flux compactification. Kinetic terms for Wilson line fields on the world volume of a D-brane take a nonstandard Dirac-Born-Infeld (DBI) form. Thus, we work in the framework of DBI inflation. This extends the original slow roll Wilson line inflationary scenario, where only the quadratic piece was considered. Warped DBI Wilson line inflation offers an attractive alternative to ordinary (position field) DBI inflation, inasmuch as observational and theoretical constraints get considerably relaxed. Besides the standard large non-Gaussianities in DBI scenarios, it is also possible to achieve an observable amount of gravitational waves.	[ { "created": "Tue, 28 Oct 2008 10:28:32 GMT", "version": "v1" }, { "created": "Thu, 6 Nov 2008 14:29:44 GMT", "version": "v2" }, { "created": "Mon, 2 Feb 2009 10:31:11 GMT", "version": "v3" } ]	2009-02-09	[ [ "Avgoustidis", "A.", "" ], [ "Zavala", "I.", "" ] ]	We propose a novel inflationary scenario in string theory in which the inflaton field is a 'Wilson line' degree of freedom in the worldvolume of a probe Dp-brane, in a warped flux compactification. Kinetic terms for Wilson line fields on the world volume of a D-brane take a nonstandard Dirac-Born-Infeld (DBI) form. Thus, we work in the framework of DBI inflation. This extends the original slow roll Wilson line inflationary scenario, where only the quadratic piece was considered. Warped DBI Wilson line inflation offers an attractive alternative to ordinary (position field) DBI inflation, inasmuch as observational and theoretical constraints get considerably relaxed. Besides the standard large non-Gaussianities in DBI scenarios, it is also possible to achieve an observable amount of gravitational waves.
hep-th/0401137	Kentaro Hori	Ilka Brunner, Kentaro Hori, Kazuo Hosomichi and Johannes Walcher	Orientifolds of Gepner Models	142 pages	JHEP 0702:001,2007	10.1088/1126-6708/2007/02/001	CERN-PH-TH/2004-006, KCL-MTH-04-01, NSF-KITP-04-01	hep-th	null	We systematically construct and study Type II Orientifolds based on Gepner models which have N=1 supersymmetry in 3+1 dimensions. We classify the parity symmetries and construct the crosscap states. We write down the conditions that a configuration of rational branes must satisfy for consistency (tadpole cancellation and rank constraints) and spacetime supersymmetry. For certain cases, including Type IIB orientifolds of the quintic and a two parameter model, one can find all solutions in this class. Depending on the parity, the number of vacua can be large, of the order of 10^{10}-10^{13}. For other models, it is hard to find all solutions but special solutions can be found -- some of them are chiral. We also make comparison with the large volume regime and obtain a perfect match. Through this study, we find a number of new features of Type II orientifolds, including the structure of moduli space and the change in the type of O-planes under navigation through non-geometric phases.	[ { "created": "Tue, 20 Jan 2004 19:33:22 GMT", "version": "v1" } ]	2010-02-03	[ [ "Brunner", "Ilka", "" ], [ "Hori", "Kentaro", "" ], [ "Hosomichi", "Kazuo", "" ], [ "Walcher", "Johannes", "" ] ]	We systematically construct and study Type II Orientifolds based on Gepner models which have N=1 supersymmetry in 3+1 dimensions. We classify the parity symmetries and construct the crosscap states. We write down the conditions that a configuration of rational branes must satisfy for consistency (tadpole cancellation and rank constraints) and spacetime supersymmetry. For certain cases, including Type IIB orientifolds of the quintic and a two parameter model, one can find all solutions in this class. Depending on the parity, the number of vacua can be large, of the order of 10^{10}-10^{13}. For other models, it is hard to find all solutions but special solutions can be found -- some of them are chiral. We also make comparison with the large volume regime and obtain a perfect match. Through this study, we find a number of new features of Type II orientifolds, including the structure of moduli space and the change in the type of O-planes under navigation through non-geometric phases.
0712.1410	Andrea Quadri	Daniele Bettinelli, Ruggero Ferrari, Andrea Quadri (Milan U. and INFN, Milan)	Gauge Dependence in the Nonlinearly Realized Massive SU(2) Gauge Theory	5 pages. Prepared for AGMF2007 - Algebra, Geometry, and Mathematical Physics Baltic-Nordic Workshop, Goeteborg, 11-13 October, 2007	J.General.Lie Theor.Appl.2:122-126,2008	null	IFUM-908-FT	hep-th	null	The implementation of the 't Hooft alpha-gauge in the symmetrically subtracted massive gauge theory based on the nonlinearly realized SU(2) gauge group is discussed. The gauge independence of the self-mass of the gauge bosons is proven by cohomological techniques.	[ { "created": "Mon, 10 Dec 2007 08:53:50 GMT", "version": "v1" } ]	2009-02-24	[ [ "Bettinelli", "Daniele", "", "Milan U. and INFN,\n Milan" ], [ "Ferrari", "Ruggero", "", "Milan U. and INFN,\n Milan" ], [ "Quadri", "Andrea", "", "Milan U. and INFN,\n Milan" ] ]	The implementation of the 't Hooft alpha-gauge in the symmetrically subtracted massive gauge theory based on the nonlinearly realized SU(2) gauge group is discussed. The gauge independence of the self-mass of the gauge bosons is proven by cohomological techniques.
1410.2692	Chi Tian	Xiuming Zhang, Chi Tian	Effect of the Minimal Length on Bose-Einstein Condensation in the Relativistic Ideal Bose Gas	null	2015 Chinese Phys. Lett. 32 010303	10.1088/0256-307X/32/1/010303	null	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Based on the generalized uncertainty principle (GUP), the critical temperature and the Helmholtz free energy of Bose-Einstein condensation (BEC) in the relativistic ideal Bose gas are investigated. At the non-relativistic limit and the ultra-relativistic limit, we calculate the analytical form of the shifts of the critical temperature and the Helmholtz free energy caused by weak quantum gravitational effects. The exact numerical results of these shifts are obtained. Quantum gravity effects lift the critical temperature of BEC. By measuring the shift of the critical temperature, we can constrain the deformation parameter $\beta_0$. Furthermore, at lower densities, omitting quantum gravitational effects may lead to a metastable state while at sufficiently high densities, quantum gravitational effects tend to make BEC unstable. Using the numerical methods, the stable-unstable transition temperature is found.	[ { "created": "Fri, 10 Oct 2014 07:20:10 GMT", "version": "v1" } ]	2015-01-16	[ [ "Zhang", "Xiuming", "" ], [ "Tian", "Chi", "" ] ]	Based on the generalized uncertainty principle (GUP), the critical temperature and the Helmholtz free energy of Bose-Einstein condensation (BEC) in the relativistic ideal Bose gas are investigated. At the non-relativistic limit and the ultra-relativistic limit, we calculate the analytical form of the shifts of the critical temperature and the Helmholtz free energy caused by weak quantum gravitational effects. The exact numerical results of these shifts are obtained. Quantum gravity effects lift the critical temperature of BEC. By measuring the shift of the critical temperature, we can constrain the deformation parameter $\beta_0$. Furthermore, at lower densities, omitting quantum gravitational effects may lead to a metastable state while at sufficiently high densities, quantum gravitational effects tend to make BEC unstable. Using the numerical methods, the stable-unstable transition temperature is found.
hep-th/9712258	Joerg Teschner	J. Teschner	The Mini-Superspace Limit of the SL(2,C)/SU(2)-WZNW Model	17 pages, AMS-LATEX2e, minor corrections	Nucl.Phys. B546 (1999) 369-389	10.1016/S0550-3213(99)00071-1	LPM 97/02	hep-th	null	Many qualitatively new features of WZNW models associated to noncompact cosets are due to zero modes with continuous spectrum. Insight may be gained by reducing the theory to its zero-mode sector, the mini-superspace limit. This will be discussed in some detail for the example of SL(2,C)/SU(2)-WZNW model. The mini-superspace limit of this model can be formulated as baby-CFT. Spectrum, structure constants and fusion rules as well as factorization of four point functions are obtained from the harmonic analysis on SL(2,C)/SU(2). The issues of operator-state correspondence or the appearance of non-normalizable intermediate states in correlation functions can be discussed transparently in this context.	[ { "created": "Wed, 31 Dec 1997 16:54:36 GMT", "version": "v1" }, { "created": "Sat, 27 Jun 1998 14:11:51 GMT", "version": "v2" } ]	2009-10-30	[ [ "Teschner", "J.", "" ] ]	Many qualitatively new features of WZNW models associated to noncompact cosets are due to zero modes with continuous spectrum. Insight may be gained by reducing the theory to its zero-mode sector, the mini-superspace limit. This will be discussed in some detail for the example of SL(2,C)/SU(2)-WZNW model. The mini-superspace limit of this model can be formulated as baby-CFT. Spectrum, structure constants and fusion rules as well as factorization of four point functions are obtained from the harmonic analysis on SL(2,C)/SU(2). The issues of operator-state correspondence or the appearance of non-normalizable intermediate states in correlation functions can be discussed transparently in this context.
0901.4390	Yong-Wan Kim	Yong-Wan Kim, Yun Soo Myung, Young-Jai Park	Nonpropagation of massive mode on AdS2 in topologically massive gravity	19 pages, version to appear in EPJC	Eur.Phys.J.C67:533-541,2010	10.1140/epjc/s10052-010-1333-3	null	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	Making use of Achucarro-Ortiz (AO) type of dimensional reduction, we study the topologically massive gravity with a negative cosmological constant on AdS2 spacetimes. For a constant dilaton, this two-dimensional model also admits three AdS2 vacuum solutions, which are related to two AdS3 and warped AdS3 backgrounds with an identification upon uplifting three dimensions. We carry out the perturbation analysis around these backgrounds to find what is a physically propagating field. However, it turns out that there is no propagating massive mode on AdS2 background, in contrast to the Kaluza-Klein (KK) type of dimensional reduction. We note that two dimensionally reduced actions are different and thus, the non-equivalence of their on-shell amplitudes is obtained.	[ { "created": "Wed, 28 Jan 2009 02:03:12 GMT", "version": "v1" }, { "created": "Fri, 5 Jun 2009 05:52:52 GMT", "version": "v2" }, { "created": "Fri, 18 Sep 2009 07:21:10 GMT", "version": "v3" }, { "created": "Fri, 23 Apr 2010 04:26:56 GMT", "version": "v4" } ]	2014-11-18	[ [ "Kim", "Yong-Wan", "" ], [ "Myung", "Yun Soo", "" ], [ "Park", "Young-Jai", "" ] ]	Making use of Achucarro-Ortiz (AO) type of dimensional reduction, we study the topologically massive gravity with a negative cosmological constant on AdS2 spacetimes. For a constant dilaton, this two-dimensional model also admits three AdS2 vacuum solutions, which are related to two AdS3 and warped AdS3 backgrounds with an identification upon uplifting three dimensions. We carry out the perturbation analysis around these backgrounds to find what is a physically propagating field. However, it turns out that there is no propagating massive mode on AdS2 background, in contrast to the Kaluza-Klein (KK) type of dimensional reduction. We note that two dimensionally reduced actions are different and thus, the non-equivalence of their on-shell amplitudes is obtained.
2401.01610	Vladimir Dzhunushaliev	Vladimir Dzhunushaliev, Vladimir Folomeev, Jutta Kunz and Yakov Shnir	Fermion states localized on a self-gravitating Skyrmion	6 pages, 5 figures	null	null	null	hep-th hep-ph	http://creativecommons.org/publicdomain/zero/1.0/	We investigate self-gravitating solutions of the Einstein-Skyrme theory coupled to spin-isospin Dirac fermions and consider the dependence of the spectral flow on the effective gravitational coupling constant and on the Yukawa coupling. It is shown that the effects of the backreaction of the fermionic mode may strongly deform the configuration. Depending on the choice of parameters, solutions with positive, negative and zero ADM mass may arise. The occurrence of regular anti-gravitating asymptotically flat solutions with negative ADM mass is caused by the violation of the energy conditions.	[ { "created": "Wed, 3 Jan 2024 08:26:27 GMT", "version": "v1" }, { "created": "Tue, 25 Jun 2024 09:37:39 GMT", "version": "v2" } ]	2024-06-26	[ [ "Dzhunushaliev", "Vladimir", "" ], [ "Folomeev", "Vladimir", "" ], [ "Kunz", "Jutta", "" ], [ "Shnir", "Yakov", "" ] ]	We investigate self-gravitating solutions of the Einstein-Skyrme theory coupled to spin-isospin Dirac fermions and consider the dependence of the spectral flow on the effective gravitational coupling constant and on the Yukawa coupling. It is shown that the effects of the backreaction of the fermionic mode may strongly deform the configuration. Depending on the choice of parameters, solutions with positive, negative and zero ADM mass may arise. The occurrence of regular anti-gravitating asymptotically flat solutions with negative ADM mass is caused by the violation of the energy conditions.
hep-th/9309048	null	J.Gomis, J.Herrero, K.Kamimura and J.Roca	Particle Mechanics Models with W-symmetries	34 pages, LaTeX, no figures. Several changes (including Title) and new material added. Version to appear in Ann. Phys	Annals Phys. 244 (1995) 67-100	10.1006/aphy.1995.1107	UB-ECM-PF 93/18, TOHO-FP-9449	hep-th	null	We introduce a particle mechanics model with Sp($2M$) gauge invariance. Different partial gauge-fixings by means of sl(2) embeddings on the gauge algebra lead to reduced models which are invariant under diffeomorphisms and classical non-linear \W-transformations as the residual gauge symmetries thus providing a set of models of gauge and matter fields coupled in a \W-invariant way. The equations of motion for the matter variables give Lax operators in a matrix form. We examine several examples in detail and discuss the issue of integration of infinitesimal \W-transformations.	[ { "created": "Thu, 9 Sep 1993 11:19:47 GMT", "version": "v1" }, { "created": "Wed, 26 Apr 1995 20:15:49 GMT", "version": "v2" } ]	2009-10-22	[ [ "Gomis", "J.", "" ], [ "Herrero", "J.", "" ], [ "Kamimura", "K.", "" ], [ "Roca", "J.", "" ] ]	We introduce a particle mechanics model with Sp($2M$) gauge invariance. Different partial gauge-fixings by means of sl(2) embeddings on the gauge algebra lead to reduced models which are invariant under diffeomorphisms and classical non-linear \W-transformations as the residual gauge symmetries thus providing a set of models of gauge and matter fields coupled in a \W-invariant way. The equations of motion for the matter variables give Lax operators in a matrix form. We examine several examples in detail and discuss the issue of integration of infinitesimal \W-transformations.
1401.4583	Filipe de O. Salles	Filipe de O. Salles and Ilya L. Shapiro	Do we have unitary and (super)renormalizable Quantum Gravity below Planck scale?	Original paper published in PRD. The last page is Erratum correcting interpretation of instability in the main manuscript	Phys. Rev. D 89, 084054 (2014)	10.1103/PhysRevD.89.084054	null	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We explore how the stability of metric perturbations in higher derivative theories of gravity depends on the energy scale of initial seeds of such perturbations and on a typical energy scale of the gravitational vacuum background. It is shown that, at least in the cases of specific cosmological backgrounds, that the unphysical massive ghost which is present in the spectrum of such theories is not growing up as a physical excitation and remains in the vacuum state, until the initial frequency of the perturbation is close to the Planck order of magnitude. In this situation the existing versions of renormalizable and superrenormalizable theories can be seen as very satisfactory effective theories of Quantum Gravity below the Planck scale.	[ { "created": "Sat, 18 Jan 2014 20:03:49 GMT", "version": "v1" }, { "created": "Wed, 17 Dec 2014 23:22:28 GMT", "version": "v2" } ]	2014-12-19	[ [ "Salles", "Filipe de O.", "" ], [ "Shapiro", "Ilya L.", "" ] ]	We explore how the stability of metric perturbations in higher derivative theories of gravity depends on the energy scale of initial seeds of such perturbations and on a typical energy scale of the gravitational vacuum background. It is shown that, at least in the cases of specific cosmological backgrounds, that the unphysical massive ghost which is present in the spectrum of such theories is not growing up as a physical excitation and remains in the vacuum state, until the initial frequency of the perturbation is close to the Planck order of magnitude. In this situation the existing versions of renormalizable and superrenormalizable theories can be seen as very satisfactory effective theories of Quantum Gravity below the Planck scale.
hep-th/0003279	Xiang-Song Chen	Wei-Min Sun, Xiang-Song Chen and Fan Wang	Some Problems in Defining Functional Integration over the Gauge Group	2 pages revtex, no figure	null	null	null	hep-th	null	We find that sometimes the usual definition of functional integration over the gauge group through limiting process may have internal difficulties.	[ { "created": "Thu, 30 Mar 2000 12:17:50 GMT", "version": "v1" } ]	2007-05-23	[ [ "Sun", "Wei-Min", "" ], [ "Chen", "Xiang-Song", "" ], [ "Wang", "Fan", "" ] ]	We find that sometimes the usual definition of functional integration over the gauge group through limiting process may have internal difficulties.
hep-th/0207141	Conor Houghton	Conor J. Houghton and Erick J. Weinberg	Multicloud solutions with massless and massive monopoles	58 pages, 5 figures	Phys.Rev. D66 (2002) 125002	10.1103/PhysRevD.66.125002	CU-TP-1062	hep-th	null	Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding of these clouds, we study BPS solutions with four massive and six massless monopoles in an SU(6) gauge theory. We develop an algebraic procedure, based on the Nahm construction, that relates these solutions to previously known examples. Explicit implementation of this procedure for a number of limiting cases reveals that the six massless monopoles condense into four distinct clouds, of two different types. By analyzing these limiting solutions, we clarify the correspondence between clouds and massless monopoles, and infer a set of rules that describe the conditions under which a finite size cloud can be formed. Finally, we identify the parameters entering the general solution and describe their physical significance.	[ { "created": "Mon, 15 Jul 2002 16:34:57 GMT", "version": "v1" } ]	2009-11-07	[ [ "Houghton", "Conor J.", "" ], [ "Weinberg", "Erick J.", "" ] ]	Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding of these clouds, we study BPS solutions with four massive and six massless monopoles in an SU(6) gauge theory. We develop an algebraic procedure, based on the Nahm construction, that relates these solutions to previously known examples. Explicit implementation of this procedure for a number of limiting cases reveals that the six massless monopoles condense into four distinct clouds, of two different types. By analyzing these limiting solutions, we clarify the correspondence between clouds and massless monopoles, and infer a set of rules that describe the conditions under which a finite size cloud can be formed. Finally, we identify the parameters entering the general solution and describe their physical significance.
1504.00663	Andrei Linde	Andrei Linde	Single-field $\alpha$-attractors	3 pages	null	10.1088/1475-7516/2015/05/003	null	hep-th astro-ph.CO gr-qc hep-ph	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	I describe a simple class of $\alpha$-attractors, generalizing the single-field GL model of inflation in supergravity. The new class of models is defined for $0<\alpha \lesssim 1$, providing a good match to the present cosmological data. I also present a generalized version of these models which can describe not only inflation but also dark energy and supersymmetry breaking.	[ { "created": "Thu, 2 Apr 2015 19:46:17 GMT", "version": "v1" } ]	2015-05-20	[ [ "Linde", "Andrei", "" ] ]	I describe a simple class of $\alpha$-attractors, generalizing the single-field GL model of inflation in supergravity. The new class of models is defined for $0<\alpha \lesssim 1$, providing a good match to the present cosmological data. I also present a generalized version of these models which can describe not only inflation but also dark energy and supersymmetry breaking.
2310.08124	Keiju Murata Dr	Takaaki Ishii, Keiju Murata, Kentaroh Yoshida	Boundary driven turbulence on string worldsheet	34 pages, 9 figures	null	null	null	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We study the origin of turbulence on the string worldsheet with boundaries laid in anti de Sitter (AdS) spacetime. While the classical motion of a single closed string in AdS is integrable, it has recently been recognized that weak turbulence arises in the case of an open string suspended from the AdS boundary. In the open string case, it is necessary to impose boundary conditions on the worldsheet boundaries. We classify which boundary conditions preserve integrability. Based on this classification, we anticipate that turbulence may occur on the string worldsheet if integrability is not guaranteed by the boundary conditions. Numerical investigations of the classical open-string dynamics support that turbulence occurs when the boundary conditions are not integrable.	[ { "created": "Thu, 12 Oct 2023 08:28:41 GMT", "version": "v1" } ]	2023-10-13	[ [ "Ishii", "Takaaki", "" ], [ "Murata", "Keiju", "" ], [ "Yoshida", "Kentaroh", "" ] ]	We study the origin of turbulence on the string worldsheet with boundaries laid in anti de Sitter (AdS) spacetime. While the classical motion of a single closed string in AdS is integrable, it has recently been recognized that weak turbulence arises in the case of an open string suspended from the AdS boundary. In the open string case, it is necessary to impose boundary conditions on the worldsheet boundaries. We classify which boundary conditions preserve integrability. Based on this classification, we anticipate that turbulence may occur on the string worldsheet if integrability is not guaranteed by the boundary conditions. Numerical investigations of the classical open-string dynamics support that turbulence occurs when the boundary conditions are not integrable.
hep-th/9410198	null	Luis J. Boya and E.C.G. Sudarshan	Point Interactions from Flux Conservation	7 pages, Latex, CPP-94-28	Int. J. Theor. Phys. 35 (1996) 1063	null	null	hep-th	null	We show that the physical requirement of flux conservation can substitute for the usual matching conditions in point interactions. The study covers an arbitrary superposition of $\delta$ and $\delta'$ potentials on the real line and can be easily applied to higher dimensions. Our procedure can be seen as a physical interpretation of the deficiency index of some symmetric, but not self-adjoint operators.	[ { "created": "Wed, 26 Oct 1994 15:55:00 GMT", "version": "v1" } ]	2007-05-23	[ [ "Boya", "Luis J.", "" ], [ "Sudarshan", "E. C. G.", "" ] ]	We show that the physical requirement of flux conservation can substitute for the usual matching conditions in point interactions. The study covers an arbitrary superposition of $\delta$ and $\delta'$ potentials on the real line and can be easily applied to higher dimensions. Our procedure can be seen as a physical interpretation of the deficiency index of some symmetric, but not self-adjoint operators.
1307.4890	Debashis Ghoshal	Debashis Ghoshal and Preeda Patcharamaneepakorn	Travelling Front of a Decaying Brane in String Field Theory	16 pages, 6 figures	JHEP 03 (2014) 015	10.1007/JHEP03(2014)015	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We consider the inhomogeneous decay of an unstable D-brane of bosonic string theory in a linear dilaton background in a light-cone frame. At the lowest level, the dynamical equation that describes this process is a generalisation (that includes nonlocality and time delay) of a reaction-diffusion equation studied by Fisher (and others). We argue that the equation of motion of the cubic open string field theory is satisfied at least to the second order when we start with this `Fisher deformation', a marginal operator which has a simple pole term in its OPE. We also compute the one-point functions of closed string operators on the disc in the presence of this deformation.	[ { "created": "Thu, 18 Jul 2013 10:06:28 GMT", "version": "v1" } ]	2015-03-31	[ [ "Ghoshal", "Debashis", "" ], [ "Patcharamaneepakorn", "Preeda", "" ] ]	We consider the inhomogeneous decay of an unstable D-brane of bosonic string theory in a linear dilaton background in a light-cone frame. At the lowest level, the dynamical equation that describes this process is a generalisation (that includes nonlocality and time delay) of a reaction-diffusion equation studied by Fisher (and others). We argue that the equation of motion of the cubic open string field theory is satisfied at least to the second order when we start with this `Fisher deformation', a marginal operator which has a simple pole term in its OPE. We also compute the one-point functions of closed string operators on the disc in the presence of this deformation.
hep-th/9603165	Phil Gibbs	Phil E. Gibbs	Is the Universe Uniquely Determined by Invariance Under Quantisation?	11 pages, uuencoded gzip'ed postscript file	null	null	PEG-09-96	hep-th	null	In this sequel to my previous paper, "Is String Theory in Knots?" I explore ways of constructing symmetries through an algebraic stepping process using knotted graphs. The hope is that this may lead to an algebraic formulation of string theory. In the conclusion I speculate that the stepping process is a form of quantisation for which the most general form must be sought. By applying the quantisation step a sufficient number (possibly infinite) of times we may construct an algebra which is equivalent to its own quantisation.	[ { "created": "Mon, 25 Mar 1996 10:08:28 GMT", "version": "v1" } ]	2007-05-23	[ [ "Gibbs", "Phil E.", "" ] ]	In this sequel to my previous paper, "Is String Theory in Knots?" I explore ways of constructing symmetries through an algebraic stepping process using knotted graphs. The hope is that this may lead to an algebraic formulation of string theory. In the conclusion I speculate that the stepping process is a form of quantisation for which the most general form must be sought. By applying the quantisation step a sufficient number (possibly infinite) of times we may construct an algebra which is equivalent to its own quantisation.
1410.6181	Hong Lu	Hai-Shan Liu and H. Lu	Thermodynamics of Lifshitz Black Holes	27 pages	null	10.1007/JHEP12(2014)071	null	hep-th	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We specialize the Wald formalism to derive the thermodynamical first law for static black holes with spherical/torus/hyperbolic symmetries in a variety of supergravities or supergravity-inspired theories involving multiple scalars and vectors. We apply the formula to study the first law of a general class of Lifshitz black holes. We analyse the first law of three exact Lifshitz black holes and the results fit the general pattern. In one example, the first law is $TdS + \Phi dQ=0$ where $(\Phi,Q)$ are the electric potential and charge of the Maxwell field. The unusual vanishing of mass in this specific solution demonstrates that super-extremal charged black holes can exist in asymptotic Lifshitz spacetimes.	[ { "created": "Wed, 22 Oct 2014 20:26:11 GMT", "version": "v1" } ]	2015-06-23	[ [ "Liu", "Hai-Shan", "" ], [ "Lu", "H.", "" ] ]	We specialize the Wald formalism to derive the thermodynamical first law for static black holes with spherical/torus/hyperbolic symmetries in a variety of supergravities or supergravity-inspired theories involving multiple scalars and vectors. We apply the formula to study the first law of a general class of Lifshitz black holes. We analyse the first law of three exact Lifshitz black holes and the results fit the general pattern. In one example, the first law is $TdS + \Phi dQ=0$ where $(\Phi,Q)$ are the electric potential and charge of the Maxwell field. The unusual vanishing of mass in this specific solution demonstrates that super-extremal charged black holes can exist in asymptotic Lifshitz spacetimes.
hep-th/0406003	Martin B. Halpern	M.B. Halpern and C. Helfgott	The General Twisted Open WZW String	74 pages, typos corrected	Int.J.Mod.Phys.A20:923-992,2005	10.1142/S0217751X05020628	null	hep-th math-ph math.MP math.QA	null	We recently studied two large but disjoint classes of twisted open WZW strings: the open-string sectors of the WZW orientation orbifolds and the so-called basic class of twisted open WZW strings. In this paper, we discuss {\it all T-dualizations} of the basic class to construct the {\it general} twisted open WZW string -- which includes the disjoint classes above as special cases. For the general case, we give the {\it branes} and {\it twisted non-commutative geometry} at the classical level and the {\it twisted open-string KZ equations} at the operator level. Many examples of the general construction are discussed, including in particular the simple case of twisted free-bosonic open strings. We also revisit the open-string sectors of the general WZW orientation orbifold in further detail. For completeness, we finally review the {\it general twisted boundary state equation} which provides a complementary description of the general twisted open WZW string.	[ { "created": "Tue, 1 Jun 2004 02:02:34 GMT", "version": "v1" }, { "created": "Tue, 26 Oct 2004 06:17:53 GMT", "version": "v2" } ]	2014-11-18	[ [ "Halpern", "M. B.", "" ], [ "Helfgott", "C.", "" ] ]	We recently studied two large but disjoint classes of twisted open WZW strings: the open-string sectors of the WZW orientation orbifolds and the so-called basic class of twisted open WZW strings. In this paper, we discuss {\it all T-dualizations} of the basic class to construct the {\it general} twisted open WZW string -- which includes the disjoint classes above as special cases. For the general case, we give the {\it branes} and {\it twisted non-commutative geometry} at the classical level and the {\it twisted open-string KZ equations} at the operator level. Many examples of the general construction are discussed, including in particular the simple case of twisted free-bosonic open strings. We also revisit the open-string sectors of the general WZW orientation orbifold in further detail. For completeness, we finally review the {\it general twisted boundary state equation} which provides a complementary description of the general twisted open WZW string.
2008.10049	Hao Xu	Meng-Shi Hou, Hao Xu, Yen Chin Ong	Hawking Evaporation of Black Holes in Massive Gravity	22 pages	null	10.1140/epjc/s10052-020-08678-1	null	hep-th gr-qc	http://arxiv.org/licenses/nonexclusive-distrib/1.0/	We study the Hawking evaporation of a class of black hole solutions in dRGT massive gravity, in which the graviton mass gives rise to an effective negative cosmological constant. We found that the effective emission surface can be either proportional to the square of the effective AdS length scale, or corresponds to the square of the impact parameter of the null geodesic that falls onto the photon orbit of the black hole. Furthermore, depending on the black hole parameters, the emission surface could switch from one to another as the black hole loses mass during the evaporation process. Furthermore, the black holes can either evaporate completely or become a remnant at late time. Our result is more generally applicable to any asymptotically anti-de Sitter-like black hole solution in any theory whose metric function has a term linear in the coordinate radius, with massive gravity being only a concrete example.	[ { "created": "Sun, 23 Aug 2020 14:26:38 GMT", "version": "v1" } ]	2020-12-30	[ [ "Hou", "Meng-Shi", "" ], [ "Xu", "Hao", "" ], [ "Ong", "Yen Chin", "" ] ]	We study the Hawking evaporation of a class of black hole solutions in dRGT massive gravity, in which the graviton mass gives rise to an effective negative cosmological constant. We found that the effective emission surface can be either proportional to the square of the effective AdS length scale, or corresponds to the square of the impact parameter of the null geodesic that falls onto the photon orbit of the black hole. Furthermore, depending on the black hole parameters, the emission surface could switch from one to another as the black hole loses mass during the evaporation process. Furthermore, the black holes can either evaporate completely or become a remnant at late time. Our result is more generally applicable to any asymptotically anti-de Sitter-like black hole solution in any theory whose metric function has a term linear in the coordinate radius, with massive gravity being only a concrete example.

2205.12835

Sota Sato

Toshifumi Noumi, Sota Sato, Junsei Tokuda

Phenomenological Motivation for Gravitational Positivity Bounds: A Case Study of Dark Sector Physics

7 pages, 1 figure, v2: matches the version to appear in PRD

null

KOBE-COSMO-22-5

hep-th astro-ph.CO gr-qc hep-ph

http://creativecommons.org/licenses/by/4.0/

Positivity bounds on scattering amplitudes provide a necessary condition for a low-energy effective field theory to have a consistent ultraviolet completion. Their extension to gravity theories has been studied in the past years aiming at application to the swampland program, showing that positivity bounds hold at least approximately even in the presence of gravity. An issue in this context is how much negativity is allowed for a given scattering process. In this paper we address importance of this rather technical issue by demonstrating that it is relevant to physics within the scope of ongoing experiments, especially in the context of dark sector physics. In particular, we provide detailed analysis of dark photon scenarios as an illustrative example. This motivates further studies on gravitational positivity bounds.

[ { "created": "Wed, 25 May 2022 15:03:30 GMT", "version": "v1" }, { "created": "Wed, 23 Aug 2023 06:35:22 GMT", "version": "v2" } ]

2023-08-24

[ [ "Noumi", "Toshifumi", "" ], [ "Sato", "Sota", "" ], [ "Tokuda", "Junsei", "" ] ]

Positivity bounds on scattering amplitudes provide a necessary condition for a low-energy effective field theory to have a consistent ultraviolet completion. Their extension to gravity theories has been studied in the past years aiming at application to the swampland program, showing that positivity bounds hold at least approximately even in the presence of gravity. An issue in this context is how much negativity is allowed for a given scattering process. In this paper we address importance of this rather technical issue by demonstrating that it is relevant to physics within the scope of ongoing experiments, especially in the context of dark sector physics. In particular, we provide detailed analysis of dark photon scenarios as an illustrative example. This motivates further studies on gravitational positivity bounds.

0706.1875

Lorenzo Salcedo L.

L.L. Salcedo

Derivative expansion of the heat kernel in curved space

11 pages, no figures. Discussion added at the end of section II about the nature of the derivative expansion. To appear in Phys.Rev.D

Phys.Rev.D76:044009,2007

10.1103/PhysRevD.76.044009

null

hep-th gr-qc

null

The heat kernel in curved space-time is computed to fourth order in a strict expansion in the number of covariant derivatives. The computation is made for arbitrary non abelian gauge and scalar fields and for the Riemann connection in the coordinate sector. The expressions obtained hold for arbitrary tensor representations of the matter field. Complete results are presented for the diagonal matrix elements and for the trace of the heat kernel operator. In addition, Chan's formula is extended to curved space-time. As a byproduct, the bosonic effective action is also obtained to fourth order.

[ { "created": "Wed, 13 Jun 2007 11:18:58 GMT", "version": "v1" }, { "created": "Mon, 2 Jul 2007 10:33:50 GMT", "version": "v2" } ]

2008-11-26

[ [ "Salcedo", "L. L.", "" ] ]

The heat kernel in curved space-time is computed to fourth order in a strict expansion in the number of covariant derivatives. The computation is made for arbitrary non abelian gauge and scalar fields and for the Riemann connection in the coordinate sector. The expressions obtained hold for arbitrary tensor representations of the matter field. Complete results are presented for the diagonal matrix elements and for the trace of the heat kernel operator. In addition, Chan's formula is extended to curved space-time. As a byproduct, the bosonic effective action is also obtained to fourth order.

hep-th/0306003

Liu Zhao

Liu Zhao, Wangyun Liu

Higher Toda Mechanics and Spectral Curves

22 pages

Commun.Theor.Phys. 42 (2004) 9-18

10.1088/0253-6102/42/1/9

null

hep-th

null

For each one of the Lie algebras $\mathfrak{gl}_{n}$ and $\widetilde {\mathfrak{gl}}_{n}$, we constructed a family of integrable generalizations of the Toda chains characterized by two integers $m_{+}$ and $m_{-}$. The Lax matrices and the equations of motion are given explicitly, and the integrals of motion can be calculated in terms of the trace of powers of the Lax matrix $L$. For the case of $m_{+}=m_{-}$, we find a symmetric reduction for each generalized Toda chain we found, and the solution to the initial value problems of the reduced systems is outlined. We also studied the spectral curves of the periodic $(m_{+},m_{-})$-Toda chains, which turns out to be very different for different pairs of $m_{+}$ and $m_{-}$. Finally we also obtained the nonabelian generalizations of the $(m_{+},m_{-})$-Toda chains in explicit form.

[ { "created": "Sun, 1 Jun 2003 13:50:14 GMT", "version": "v1" } ]

2018-01-17

[ [ "Zhao", "Liu", "" ], [ "Liu", "Wangyun", "" ] ]

For each one of the Lie algebras $\mathfrak{gl}_{n}$ and $\widetilde {\mathfrak{gl}}_{n}$, we constructed a family of integrable generalizations of the Toda chains characterized by two integers $m_{+}$ and $m_{-}$. The Lax matrices and the equations of motion are given explicitly, and the integrals of motion can be calculated in terms of the trace of powers of the Lax matrix $L$. For the case of $m_{+}=m_{-}$, we find a symmetric reduction for each generalized Toda chain we found, and the solution to the initial value problems of the reduced systems is outlined. We also studied the spectral curves of the periodic $(m_{+},m_{-})$-Toda chains, which turns out to be very different for different pairs of $m_{+}$ and $m_{-}$. Finally we also obtained the nonabelian generalizations of the $(m_{+},m_{-})$-Toda chains in explicit form.

1307.3106

Miguel Vazquez-Mozo

Henrik Johansson, Agustin Sabio Vera, Eduardo Serna Campillo, Miguel A. Vazquez-Mozo

Color-Kinematics Duality in Multi-Regge Kinematics and Dimensional Reduction

16 pages, 1 figure; v2 minor changes, typos corrected. It matches the version published in JHEP

JHEP 1310 (2013) 215

10.1007/JHEP10(2013)215

CERN-PH-TH/2013-162

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this note we study the applicability of the color-kinematics duality to the scattering of two distinguishable scalar matter particles with gluon emission in QCD, or graviton emission in Einstein gravity. Previous analysis suggested that direct use of the Bern-Carrasco-Johansson double-copy prescription to matter amplitudes does not reproduce the gravitational amplitude in multi-Regge kinematics. This situation, however, can be avoided by extensions to the gauge theory, while maintaning the same Regge limit. Here we present two examples of these extensions: the introduction of a scalar contact interaction and the relaxation of the distinguishability of the scalars. In both cases new diagrams allow for a full reconstruction of the correct Regge limit on the gravitational side. Both modifications correspond to theories obtained by dimensional reduction from higher-dimensional gauge theories.

[ { "created": "Thu, 11 Jul 2013 13:35:35 GMT", "version": "v1" }, { "created": "Mon, 4 Nov 2013 12:00:29 GMT", "version": "v2" } ]

2013-11-05

[ [ "Johansson", "Henrik", "" ], [ "Vera", "Agustin Sabio", "" ], [ "Campillo", "Eduardo Serna", "" ], [ "Vazquez-Mozo", "Miguel A.", "" ] ]

In this note we study the applicability of the color-kinematics duality to the scattering of two distinguishable scalar matter particles with gluon emission in QCD, or graviton emission in Einstein gravity. Previous analysis suggested that direct use of the Bern-Carrasco-Johansson double-copy prescription to matter amplitudes does not reproduce the gravitational amplitude in multi-Regge kinematics. This situation, however, can be avoided by extensions to the gauge theory, while maintaning the same Regge limit. Here we present two examples of these extensions: the introduction of a scalar contact interaction and the relaxation of the distinguishability of the scalars. In both cases new diagrams allow for a full reconstruction of the correct Regge limit on the gravitational side. Both modifications correspond to theories obtained by dimensional reduction from higher-dimensional gauge theories.

1601.01310

Simone Giombi

Simone Giombi, Vladimir Kirilin

Anomalous dimensions in CFT with weakly broken higher spin symmetry

39 pages, 1 figure. v2: minor corrections

null

10.1007/JHEP11(2016)068

PUPT-2495

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the classical non-conservation equations. We apply this method to the explicit example of $O(N)$ invariant scalar field theories in various dimensions, including the large $N$ critical $O(N)$ model in general $d$, the Wilson-Fisher fixed point in $d=4-\epsilon$, cubic scalar models in $d=6-\epsilon$ and the nonlinear sigma model in $d=2+\epsilon$. Using information from the $d=4-\epsilon$ and $d=2+\epsilon$ expansions, we obtain some estimates for the dimensions of the higher spin operators in the critical 3d $O(N)$ models for a few low values of $N$ and spin.

[ { "created": "Wed, 6 Jan 2016 20:53:14 GMT", "version": "v1" }, { "created": "Wed, 27 Jan 2016 16:48:54 GMT", "version": "v2" } ]

2016-12-21

[ [ "Giombi", "Simone", "" ], [ "Kirilin", "Vladimir", "" ] ]

In a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the classical non-conservation equations. We apply this method to the explicit example of $O(N)$ invariant scalar field theories in various dimensions, including the large $N$ critical $O(N)$ model in general $d$, the Wilson-Fisher fixed point in $d=4-\epsilon$, cubic scalar models in $d=6-\epsilon$ and the nonlinear sigma model in $d=2+\epsilon$. Using information from the $d=4-\epsilon$ and $d=2+\epsilon$ expansions, we obtain some estimates for the dimensions of the higher spin operators in the critical 3d $O(N)$ models for a few low values of $N$ and spin.

hep-th/0307270

Kei-Ichi Kondo

K.-I. Kondo (Chiba Univ.)

Vacuum condensates, effective gluon mass and color confinement in a new reformulation of QCD

39 pages, 8 figures, revison of sec.3 and addition of sec.2.4 and more references, and numerous minor changes

null

CHIBA-EP-141

hep-th hep-ph

null

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the possible applications such as dynamical gluon mass generation, color confinement and glueball mass calculation. Moreover, we set up a new $1/N_c$ color expansion in the $SU(N_c)$ Yang-Mills theory based on this reformulation. In fact, we give the Feynman rules of the $1/N_c$ expansion in the manifestly Lorentz covariant gauge. The Yang-Mills theory is defined on a non-trivial vacuum where color--singlet transverse gluon pair condensations take place by the attractive gluonic self-interactions. This vacuum condensation provides a common non-vanishing mass for all the gluons with color symmetry being preserved. It is shown that the auxiliary fields become dynamical by acquiring the kinetic term due to quantum corrections. Then the static potential between a pair of color charges is derived as a combination of the Yukawa-type potential and the linear potential with non-vanishing string tension. The mass of the lightest scalar glueball is calculated as the ratio to the gluon mass. The explicit calculations are performed as a partial resummation of the leading order diagrams for the small 't Hooft coupling.

[ { "created": "Mon, 28 Jul 2003 09:48:17 GMT", "version": "v1" }, { "created": "Wed, 5 Nov 2003 02:44:49 GMT", "version": "v2" } ]

2007-05-23

[ [ "Kondo", "K. -I.", "", "Chiba Univ." ] ]

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the possible applications such as dynamical gluon mass generation, color confinement and glueball mass calculation. Moreover, we set up a new $1/N_c$ color expansion in the $SU(N_c)$ Yang-Mills theory based on this reformulation. In fact, we give the Feynman rules of the $1/N_c$ expansion in the manifestly Lorentz covariant gauge. The Yang-Mills theory is defined on a non-trivial vacuum where color--singlet transverse gluon pair condensations take place by the attractive gluonic self-interactions. This vacuum condensation provides a common non-vanishing mass for all the gluons with color symmetry being preserved. It is shown that the auxiliary fields become dynamical by acquiring the kinetic term due to quantum corrections. Then the static potential between a pair of color charges is derived as a combination of the Yukawa-type potential and the linear potential with non-vanishing string tension. The mass of the lightest scalar glueball is calculated as the ratio to the gluon mass. The explicit calculations are performed as a partial resummation of the leading order diagrams for the small 't Hooft coupling.

1505.05053

Kazunobu Maruyoshi

Amihay Hanany and Kazunobu Maruyoshi

Chiral theories of class S

33 pages, 20 figures; v2: a discussion on the central charges in the case with U(1) curvatures in section 5.2 is corrected

null

10.1007/JHEP12(2015)080

IMPERIAL-TP-15-AH-02

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study a class of four-dimensional N=1 superconformal field theories obtained from the six-dimensional (1,0) theory, on M5-branes on C^2/Z_k orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge theories whose matter contents are chiral. We classify the building blocks associated to pairs-of-pants, and study the gauging of them as the gluing of punctures. The Riemann surface picture makes the duality invariance of the resulting quiver theories manifest: the theories associated to the same Riemann surface flow to the same nontrivial infrared fixed point. We explicitly check this from the 't Hooft anomalies of the global symmetries and central charges.

[ { "created": "Tue, 19 May 2015 15:44:21 GMT", "version": "v1" }, { "created": "Thu, 1 Oct 2015 16:57:43 GMT", "version": "v2" } ]

2016-01-27

[ [ "Hanany", "Amihay", "" ], [ "Maruyoshi", "Kazunobu", "" ] ]

We study a class of four-dimensional N=1 superconformal field theories obtained from the six-dimensional (1,0) theory, on M5-branes on C^2/Z_k orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge theories whose matter contents are chiral. We classify the building blocks associated to pairs-of-pants, and study the gauging of them as the gluing of punctures. The Riemann surface picture makes the duality invariance of the resulting quiver theories manifest: the theories associated to the same Riemann surface flow to the same nontrivial infrared fixed point. We explicitly check this from the 't Hooft anomalies of the global symmetries and central charges.

2003.13527

Jan Ambjorn

Jan Ambjorn and Yoshiyuki Watabiki

Models of the Universe based on Jordan algebras

61 pages, 6 figures

null

10.1016/j.nuclphysb.2020.115044

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We propose a model for the universe based on Jordan algebras. The action consists of cubic terms with coefficients being the structure constants of a Jordan algebra. Coupling constants only enter the theory via symmetry breaking which also selects a physical vacuum. "Before" the symmetry breaking the universe is in a pre-geometric state where it makes no sense to talk about space or time, but time comes into existence with the symmetry breaking together with a Hamiltonian which can create space from "nothing" and in some cases can propagate the space to macroscopic size in a finite time. There exists symmetry breaking which results in macroscopic spacetime dimensions 3, 4, 6 and 10, based on the Jordan algebras of Hermitian 3x3 matrices with real, complex, quarternion and octonion entries,respectively.

[ { "created": "Mon, 30 Mar 2020 14:57:06 GMT", "version": "v1" } ]

2020-06-24

[ [ "Ambjorn", "Jan", "" ], [ "Watabiki", "Yoshiyuki", "" ] ]

We propose a model for the universe based on Jordan algebras. The action consists of cubic terms with coefficients being the structure constants of a Jordan algebra. Coupling constants only enter the theory via symmetry breaking which also selects a physical vacuum. "Before" the symmetry breaking the universe is in a pre-geometric state where it makes no sense to talk about space or time, but time comes into existence with the symmetry breaking together with a Hamiltonian which can create space from "nothing" and in some cases can propagate the space to macroscopic size in a finite time. There exists symmetry breaking which results in macroscopic spacetime dimensions 3, 4, 6 and 10, based on the Jordan algebras of Hermitian 3x3 matrices with real, complex, quarternion and octonion entries,respectively.

1103.5326

Kunihito Uzawa

Masato Minamitsuji, Kunihito Uzawa

Warped de Sitter compactifications

25 pages, 2 figures; v3: references added

JHEP 1201:142,2012

10.1007/JHEP01(2012)142

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We show that the warped de Sitter compactifications are possible under certain conditions in D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that the solutions of field equations give de Sitter spacetime with the warped structure, and discuss cosmological models directly obtained from these solutions. We also construct a cosmological model in the lower-dimensional effective theory. If there is a field strength having non-vanishing components along the internal space, the moduli can be fixed at the minimum of the effective potential where a de Sitter vacuum can be obtained.

[ { "created": "Mon, 28 Mar 2011 10:56:53 GMT", "version": "v1" }, { "created": "Thu, 26 Jan 2012 10:43:46 GMT", "version": "v2" }, { "created": "Fri, 27 Jan 2012 10:59:48 GMT", "version": "v3" } ]

2015-05-27

[ [ "Minamitsuji", "Masato", "" ], [ "Uzawa", "Kunihito", "" ] ]

We show that the warped de Sitter compactifications are possible under certain conditions in D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that the solutions of field equations give de Sitter spacetime with the warped structure, and discuss cosmological models directly obtained from these solutions. We also construct a cosmological model in the lower-dimensional effective theory. If there is a field strength having non-vanishing components along the internal space, the moduli can be fixed at the minimum of the effective potential where a de Sitter vacuum can be obtained.

2107.09342

Subir Ghosh

Joydeep Majhi (ISI, Kolkata), Subir Ghosh (ISI, Kolkata)

Uncertainty Relations for the Relativistic Jackiw-Nair Anyon: A First Principles Derivation

7 pages, 5 figures; title changed, change in presentation, no channge in final results and conclusions, accepted in EPL

null

10.1209/0295-5075/ad0670

null

hep-th cond-mat.other math-ph math.MP quant-ph

http://creativecommons.org/licenses/by/4.0/

In this paper we have explicitly computed the $position-position$ and $position-momentum$ (Heisenberg) Uncertainty Relations for the model of relativistic particles with arbitrary spin, proposed by Jackiw and Nair ref.[1] as a model for Anyon, in a purely quantum mechanical framework. This supports (via Schwarz inequality) the conjecture that anyons live in a 2-dimensional \textit{noncommutative} space. We have computed the non-trivial uncertainty relation between anyon coordinates, ${\sqrt{\Delta x^2\Delta y^2}}=\hbar\bar{\Theta}_{xy}$, using the recently constructed anyon wave function ref.[6], in the framework of ref.[7]. We also compute the Heisenberg (position-momentum) uncertainty relation for anyons. Lastly we show that the identical \textit{formalism} when applied to electrons, yield a trivial position uncertainty relation, consistent with their living in a 3-dimensional commutative space.

[ { "created": "Tue, 20 Jul 2021 08:57:17 GMT", "version": "v1" }, { "created": "Mon, 30 Oct 2023 07:54:32 GMT", "version": "v2" } ]

2023-10-31

[ [ "Majhi", "Joydeep", "", "ISI, Kolkata" ], [ "Ghosh", "Subir", "", "ISI, Kolkata" ] ]

In this paper we have explicitly computed the $position-position$ and $position-momentum$ (Heisenberg) Uncertainty Relations for the model of relativistic particles with arbitrary spin, proposed by Jackiw and Nair ref.[1] as a model for Anyon, in a purely quantum mechanical framework. This supports (via Schwarz inequality) the conjecture that anyons live in a 2-dimensional \textit{noncommutative} space. We have computed the non-trivial uncertainty relation between anyon coordinates, ${\sqrt{\Delta x^2\Delta y^2}}=\hbar\bar{\Theta}_{xy}$, using the recently constructed anyon wave function ref.[6], in the framework of ref.[7]. We also compute the Heisenberg (position-momentum) uncertainty relation for anyons. Lastly we show that the identical \textit{formalism} when applied to electrons, yield a trivial position uncertainty relation, consistent with their living in a 3-dimensional commutative space.

hep-th/9511080

M. B. Green

Gary W. Gibbons, Michael B. Green and Malcolm J. Perry

Instantons and seven-branes in type IIB superstring theory

PHYZZX macros. 13 pages. Final version as it will appear in Phys. Lett. B (typos corrected)

Phys.Lett.B370:37-44,1996

10.1016/0370-2693(95)01565-5

DAMTP/R95-56

hep-th

null

Instanton and seven-brane solutions of type IIB supergravity carrying charges in the Ramond-Ramond sector are constructed. The singular seven-brane has a quantized \RR \ \lq magnetic' charge whereas its dual is the instanton, which is non-singular in the string frame and has an associated {\it global} \lq electric' charge. The product of these charges is constrained by a Dirac quantization condition. The instanton has the form of a space-time wormhole in the string frame, and is responsible for the non-conservation of the Noether current.

[ { "created": "Mon, 13 Nov 1995 00:37:00 GMT", "version": "v1" }, { "created": "Sun, 19 Nov 1995 17:57:25 GMT", "version": "v2" }, { "created": "Mon, 15 Jan 1996 14:05:53 GMT", "version": "v3" } ]

2009-10-07

[ [ "Gibbons", "Gary W.", "" ], [ "Green", "Michael B.", "" ], [ "Perry", "Malcolm J.", "" ] ]

Instanton and seven-brane solutions of type IIB supergravity carrying charges in the Ramond-Ramond sector are constructed. The singular seven-brane has a quantized \RR \ \lq magnetic' charge whereas its dual is the instanton, which is non-singular in the string frame and has an associated {\it global} \lq electric' charge. The product of these charges is constrained by a Dirac quantization condition. The instanton has the form of a space-time wormhole in the string frame, and is responsible for the non-conservation of the Noether current.

hep-th/0204231

Hong Lu

H. Lu

New G_2 metric, D6-branes and Lattice Universe

Latex, 8 pages

Nucl.Phys. B642 (2002) 173-180

10.1016/S0550-3213(02)00619-3

null

hep-th

null

We construct a new (singular) cohomogeneity-three metric of G_2 holonomy. The solution can be viewed as a triple intersection of smeared Taub-NUTs. The metric comprises three non-compact radial-type coordinates, with the principal orbits being a T^3 bundle over S^1. We consider an M-theory vacuum (Minkowski)_4\times M_7 where M_7 is the G_2 manifold. Upon reduction on a circle in the T^3, we obtain the intersection of a D6-brane, a Taub-NUT and a 6-brane with R-R 2-form flux. Reducing the solution instead on the base space S^1, we obtain three intersecting 6-branes all carrying R-R 2-form flux. These two configurations can be viewed as a classical flop in the type IIA string theory. After reducing on the full principal orbits and the spatial world-volume, we obtain a four-dimensional metric describing a lattice universe, in which the three non-compact coordinates of the G_2 manifold are identified with the spatial coordinates of our universe.

[ { "created": "Mon, 29 Apr 2002 13:35:58 GMT", "version": "v1" }, { "created": "Tue, 7 May 2002 14:19:59 GMT", "version": "v2" } ]

2010-04-05

[ [ "Lu", "H.", "" ] ]

We construct a new (singular) cohomogeneity-three metric of G_2 holonomy. The solution can be viewed as a triple intersection of smeared Taub-NUTs. The metric comprises three non-compact radial-type coordinates, with the principal orbits being a T^3 bundle over S^1. We consider an M-theory vacuum (Minkowski)_4\times M_7 where M_7 is the G_2 manifold. Upon reduction on a circle in the T^3, we obtain the intersection of a D6-brane, a Taub-NUT and a 6-brane with R-R 2-form flux. Reducing the solution instead on the base space S^1, we obtain three intersecting 6-branes all carrying R-R 2-form flux. These two configurations can be viewed as a classical flop in the type IIA string theory. After reducing on the full principal orbits and the spatial world-volume, we obtain a four-dimensional metric describing a lattice universe, in which the three non-compact coordinates of the G_2 manifold are identified with the spatial coordinates of our universe.

1512.06901

Zoltan Bajnok

Z. Bajnok and M. Lajer

Truncated Hilbert space approach to the 2d $\phi^{4}$ theory

pdflatex, 35 pages with 29 pdf figures. Binary program is also attached, run on linux as: phi4 config.dat, v2: typos corrected, comparison to other works and references added, vacuum splitting analysis corrected, comparison to sine-Gordon TCSA added, v3: improved numerics, analysis on excited kink added, critical point investigated

null

10.1007/JHEP10(2016)050

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We apply the massive analogue of the truncated conformal space approach to study the two dimensional $\phi^{4}$ theory in finite volume. We focus on the broken phase and determine the finite size spectrum of the model numerically. We interpret the results in terms of the Bethe-Yang spectrum, from which we extract the infinite volume masses and scattering matrices for various couplings. We compare these results against semiclassical analysis and perturbation theory. We also analyze the critical point of the model and confirm that it is in the Ising universality class.

[ { "created": "Mon, 21 Dec 2015 22:51:00 GMT", "version": "v1" }, { "created": "Sun, 17 Jan 2016 22:35:55 GMT", "version": "v2" }, { "created": "Thu, 23 Jun 2016 08:14:33 GMT", "version": "v3" } ]

2016-11-23

[ [ "Bajnok", "Z.", "" ], [ "Lajer", "M.", "" ] ]

We apply the massive analogue of the truncated conformal space approach to study the two dimensional $\phi^{4}$ theory in finite volume. We focus on the broken phase and determine the finite size spectrum of the model numerically. We interpret the results in terms of the Bethe-Yang spectrum, from which we extract the infinite volume masses and scattering matrices for various couplings. We compare these results against semiclassical analysis and perturbation theory. We also analyze the critical point of the model and confirm that it is in the Ising universality class.

hep-th/0701094

Alex Bernardini

Alex E. Bernardini and Roldao da Rocha

Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems

22 pages

Phys. Rev. D75 (2007) 065014

10.1103/PhysRevD.75.065014

null

hep-th

null

We work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models invariant under the corresponding deformed symmetries are presented with particular emphasis on deformed dilatation transformations. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided in order to preserve the Lorentz algebra. Two distinct cases are considered: a deformed dilatation transformation with a spacelike preferred direction and a very special relativity embedding with a lightlike preferred direction. In both analysis we consider the possibility of introducing quantum deformations of the corresponding symmetries such that the spacetime coordinates can be reconstructed and the particular form of the real space-momentum commutator remains covariant. Eventually feasible experiments, for which Lorentz violating effects here pointed out may be detectable, are suggested.

[ { "created": "Wed, 10 Jan 2007 16:56:29 GMT", "version": "v1" }, { "created": "Fri, 23 Feb 2007 21:28:09 GMT", "version": "v2" } ]

2009-11-10

[ [ "Bernardini", "Alex E.", "" ], [ "da Rocha", "Roldao", "" ] ]

We work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models invariant under the corresponding deformed symmetries are presented with particular emphasis on deformed dilatation transformations. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided in order to preserve the Lorentz algebra. Two distinct cases are considered: a deformed dilatation transformation with a spacelike preferred direction and a very special relativity embedding with a lightlike preferred direction. In both analysis we consider the possibility of introducing quantum deformations of the corresponding symmetries such that the spacetime coordinates can be reconstructed and the particular form of the real space-momentum commutator remains covariant. Eventually feasible experiments, for which Lorentz violating effects here pointed out may be detectable, are suggested.

hep-th/9609156

null

A. de Souza Dutra

Strong-Weak Coupling Duality in Quantum Mechanics

6 pages, Plain Latex

null

hep-th

null

We present a strong-weak coupling duality for quantum mechanical potentials. Similarly to what happens in quantum field theory, it relates two problems with inverse couplings, leading to a mapping of the strong coupling regime into the weak one, giving information from the nonperturbative region of the parameters space. It can be used to solve exactly power-type potentials and to extract deep information about the energy spectra of polynomial ones.

[ { "created": "Wed, 18 Sep 1996 12:05:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dutra", "A. de Souza", "" ] ]

We present a strong-weak coupling duality for quantum mechanical potentials. Similarly to what happens in quantum field theory, it relates two problems with inverse couplings, leading to a mapping of the strong coupling regime into the weak one, giving information from the nonperturbative region of the parameters space. It can be used to solve exactly power-type potentials and to extract deep information about the energy spectra of polynomial ones.

hep-th/0111003

Thomas Branson

Thomas Branson and A. Rod Gover

Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds

30 pages, LaTeX

Differ.Geom.Appl. 17 (2001) 229-249

null

hep-th

null

On Riemannian signature conformal 4-manifolds we give a conformally invariant extension of the Maxwell operator on 1-forms. We show the extension is in an appropriate sense injectively elliptic, and recovers the invariant gauge operator of Eastwood and Singer. The extension has a natural compatibility with the de Rham complex and we prove that, given a certain restriction, its conformally invariant null space is isomorphic to the first de Rham cohomology. General machinery for extending this construction is developed and as a second application we describe an elliptic extension of a natural operator on perturbations of conformal structure. This operator is closely linked to a natural sequence of invariant operators that we construct explictly. In the conformally flat setting this yields a complex known as the conformal deformation complex and for this we describe a conformally invariant Hodge theory which parallels the de Rham result.

[ { "created": "Wed, 31 Oct 2001 21:25:26 GMT", "version": "v1" } ]

2007-05-23

[ [ "Branson", "Thomas", "" ], [ "Gover", "A. Rod", "" ] ]

On Riemannian signature conformal 4-manifolds we give a conformally invariant extension of the Maxwell operator on 1-forms. We show the extension is in an appropriate sense injectively elliptic, and recovers the invariant gauge operator of Eastwood and Singer. The extension has a natural compatibility with the de Rham complex and we prove that, given a certain restriction, its conformally invariant null space is isomorphic to the first de Rham cohomology. General machinery for extending this construction is developed and as a second application we describe an elliptic extension of a natural operator on perturbations of conformal structure. This operator is closely linked to a natural sequence of invariant operators that we construct explictly. In the conformally flat setting this yields a complex known as the conformal deformation complex and for this we describe a conformally invariant Hodge theory which parallels the de Rham result.

2303.03421

Vladimir Rosenhaus

Xu-Yao Hu and Vladimir Rosenhaus

Random coupling model of turbulence as a classical Sachdev-Ye-Kitaev model

16 pages, v2

Phys. Rev. E, 108, no.5, 054132 (2023)

10.1103/PhysRevE.108.054132

null

hep-th cond-mat.str-el nlin.CD physics.flu-dyn

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We point out that a classical analog of the Sachdev-Ye-Kitaev model -- a solvable model of quantum many-body chaos, was studied long ago in the turbulence literature. Motivated by the Navier-Stokes equation in the turbulent regime and the nonlinear Schr\"odinger equation describing plasma turbulence, in which there is mixing between many different modes, the random coupling model has a Gaussian-random coupling between any four of a large number $N$ of modes. The model was solved in the 1960s, before the introduction of large $N$ path integral techniques, using a method referred to as the direct interaction approximation. We use the path integral to derive the effective action for the model. The large-$N$ saddle gives an integral equation for the two-point function, which is very similar to the corresponding equation in the SYK model. The connection between the SYK model and the random coupling model may, on the one hand, provide new physical contexts in which to realize the SYK model and, on the other hand, suggest new models of turbulence and techniques for studying them.

[ { "created": "Mon, 6 Mar 2023 19:00:07 GMT", "version": "v1" }, { "created": "Sun, 14 Jan 2024 17:00:57 GMT", "version": "v2" } ]

2024-01-17

[ [ "Hu", "Xu-Yao", "" ], [ "Rosenhaus", "Vladimir", "" ] ]

We point out that a classical analog of the Sachdev-Ye-Kitaev model -- a solvable model of quantum many-body chaos, was studied long ago in the turbulence literature. Motivated by the Navier-Stokes equation in the turbulent regime and the nonlinear Schr\"odinger equation describing plasma turbulence, in which there is mixing between many different modes, the random coupling model has a Gaussian-random coupling between any four of a large number $N$ of modes. The model was solved in the 1960s, before the introduction of large $N$ path integral techniques, using a method referred to as the direct interaction approximation. We use the path integral to derive the effective action for the model. The large-$N$ saddle gives an integral equation for the two-point function, which is very similar to the corresponding equation in the SYK model. The connection between the SYK model and the random coupling model may, on the one hand, provide new physical contexts in which to realize the SYK model and, on the other hand, suggest new models of turbulence and techniques for studying them.

2001.08818

Jonathan Rosner

Itzhak Bars and Jonathan L. Rosner

Duality Between Hydrogen Atom and Oscillator Systems via Hidden SO(d,2) Symmetry and 2T-physics

56 pages, no figures

null

10.1088/1751-8121/ab87ba

EFI 20-1, USC/20-1

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The relation between motion in $-1/r$ and $r^{2}$ potentials, known since Newton, can be demonstrated by the substitution $r\rightarrow r^{2}$ in the classical/quantum radial equations of the Kepler/Hydrogen problems versus the harmonic oscillator. This suggests a duality-type relationship between these systems. However, when both radial and angular components of these systems are included the possibility of a true duality seems to be remote. Indeed, investigations that explored and generalized Newton's radial relation, including algebraic approaches based on noncompact groups such as SO(4,2), have never exhibited a full duality consistent with Newton's. On the other hand, 2T-physics predicts a host of dualities between pairs of a huge set of systems that includes Newton's two systems. These dualities take the form of rather complicated canonical transformations that relate the full phase spaces of these respective systems in all directions. In this paper we focus on Newton's case by imposing his radial relation to find an appropriate basis for 2T-physics dualities, and then construct the full duality. Using the techniques of 2T-physics, we discuss the hidden symmetry of the actions (beyond the symmetry of Hamiltonians) for the Hydrogen atom in $D$-dimensions and the harmonic oscillator in $\bar{D}$ dimensions. The symmetries lead us to find the one-to-one relation between the quantum states, including angular degrees of freedom, for specific values of $\left( D,\bar{D}\right) $, and construct the explicit quantum canonical transformation in those special cases. We find that the canonical transformation has itself a hidden gauge symmetry that is crucial for the respective phase spaces to be dual even when $D\neq\bar{D}$. In this way we display the surprising beautiful symmetry of the full duality that generalizes Newton's radial duality.

[ { "created": "Thu, 23 Jan 2020 21:30:25 GMT", "version": "v1" } ]

2020-06-24

[ [ "Bars", "Itzhak", "" ], [ "Rosner", "Jonathan L.", "" ] ]

The relation between motion in $-1/r$ and $r^{2}$ potentials, known since Newton, can be demonstrated by the substitution $r\rightarrow r^{2}$ in the classical/quantum radial equations of the Kepler/Hydrogen problems versus the harmonic oscillator. This suggests a duality-type relationship between these systems. However, when both radial and angular components of these systems are included the possibility of a true duality seems to be remote. Indeed, investigations that explored and generalized Newton's radial relation, including algebraic approaches based on noncompact groups such as SO(4,2), have never exhibited a full duality consistent with Newton's. On the other hand, 2T-physics predicts a host of dualities between pairs of a huge set of systems that includes Newton's two systems. These dualities take the form of rather complicated canonical transformations that relate the full phase spaces of these respective systems in all directions. In this paper we focus on Newton's case by imposing his radial relation to find an appropriate basis for 2T-physics dualities, and then construct the full duality. Using the techniques of 2T-physics, we discuss the hidden symmetry of the actions (beyond the symmetry of Hamiltonians) for the Hydrogen atom in $D$-dimensions and the harmonic oscillator in $\bar{D}$ dimensions. The symmetries lead us to find the one-to-one relation between the quantum states, including angular degrees of freedom, for specific values of $\left( D,\bar{D}\right) $, and construct the explicit quantum canonical transformation in those special cases. We find that the canonical transformation has itself a hidden gauge symmetry that is crucial for the respective phase spaces to be dual even when $D\neq\bar{D}$. In this way we display the surprising beautiful symmetry of the full duality that generalizes Newton's radial duality.

0905.2444

Rachel A Rosen

Gregory Gabadadze and Rachel A. Rosen

Vortex Structure in Charged Condensate

23 pages

JHEP 0907:093,2009

10.1088/1126-6708/2009/07/093

null

hep-th cond-mat.other

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study magnetic fields in the charged condensate that we have previously argued should be present in helium-core white dwarf stars. We show that below a certain critical value the magnetic field is entirely expelled from the condensate, while for larger values it penetrates the condensate within flux-tubes that are similar to Abrikosov vortex lines; yet higher fields lead to the disruption of the condensate. We find the solution for the vortex lines in both relativistic and nonrelativistic theories that exhibit the charged condensation. We calculate the energy density of the vortex solution and the values of the critical magnetic fields. The minimum magnetic field required for vortices to penetrate the helium white dwarf cores ranges from roughly 10^7 to 10^9 Gauss. Fields of this strength have been observed in white dwarfs. We also calculate the London magnetic field due to the rotation of a dwarf star and show that its value is rather small.

[ { "created": "Thu, 14 May 2009 23:19:58 GMT", "version": "v1" } ]

2009-08-05

[ [ "Gabadadze", "Gregory", "" ], [ "Rosen", "Rachel A.", "" ] ]

We study magnetic fields in the charged condensate that we have previously argued should be present in helium-core white dwarf stars. We show that below a certain critical value the magnetic field is entirely expelled from the condensate, while for larger values it penetrates the condensate within flux-tubes that are similar to Abrikosov vortex lines; yet higher fields lead to the disruption of the condensate. We find the solution for the vortex lines in both relativistic and nonrelativistic theories that exhibit the charged condensation. We calculate the energy density of the vortex solution and the values of the critical magnetic fields. The minimum magnetic field required for vortices to penetrate the helium white dwarf cores ranges from roughly 10^7 to 10^9 Gauss. Fields of this strength have been observed in white dwarfs. We also calculate the London magnetic field due to the rotation of a dwarf star and show that its value is rather small.

hep-th/9310117

null

Jerzy Lukierski and Henri Ruegg

Quantum $\kappa$-Poincare in Any Dimensions

(PLAIN TeX, 10 pp. )

Phys. Lett. B329 (1994) 189-194

10.1016/0370-2693(94)90759-5

null

hep-th

null

The $\kappa$-deformation of the D-dimensional Poincar\'e algebra $(D\geq 2)$ with any signature is given. Further the quadratic Poisson brackets, determined by the classical $r$-matrix are calculated, and the quantum Poincar\'e group "with noncommuting parameters" is obtained.

[ { "created": "Tue, 19 Oct 1993 17:40:52 GMT", "version": "v1" } ]

2009-10-22

[ [ "Lukierski", "Jerzy", "" ], [ "Ruegg", "Henri", "" ] ]

The $\kappa$-deformation of the D-dimensional Poincar\'e algebra $(D\geq 2)$ with any signature is given. Further the quadratic Poisson brackets, determined by the classical $r$-matrix are calculated, and the quantum Poincar\'e group "with noncommuting parameters" is obtained.

1912.01623

Guillermo Arias-Tamargo

Guillermo Arias-Tamargo, Diego Rodriguez-Gomez, Jorge G. Russo

Correlation functions in scalar field theory at large charge

13 pages

JHEP 01 (2020) 171

10.1007/JHEP01(2020)171

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We compute general higher-point functions in the sector of large charge operators $\phi^n$, $\bar\phi^n$ at large charge in $O(2)$ $(\bar \phi\phi)^2$ theory. We find that there is a special class of "extremal" correlators having only one insertion of $\bar \phi^n$ that have a remarkably simple form in the double-scaling limit $n\to \infty $ at fixed $g\,n^2\equiv \lambda$, where $g\sim\epsilon $ is the coupling at the $O(2)$ Wilson-Fisher fixed point in $4-\epsilon$ dimensions. In this limit, also non-extremal correlators can be computed. As an example, we give the complete formula for $ \langle \phi(x_1)^{n}\,\phi(x_2)^{n}\,\bar{\phi}(x_3)^{n}\,\bar{\phi}(x_4)^{n}\rangle$, which reveals an interesting structure.

[ { "created": "Tue, 3 Dec 2019 19:00:15 GMT", "version": "v1" }, { "created": "Wed, 12 Feb 2020 11:02:33 GMT", "version": "v2" } ]

2020-02-13

[ [ "Arias-Tamargo", "Guillermo", "" ], [ "Rodriguez-Gomez", "Diego", "" ], [ "Russo", "Jorge G.", "" ] ]

We compute general higher-point functions in the sector of large charge operators $\phi^n$, $\bar\phi^n$ at large charge in $O(2)$ $(\bar \phi\phi)^2$ theory. We find that there is a special class of "extremal" correlators having only one insertion of $\bar \phi^n$ that have a remarkably simple form in the double-scaling limit $n\to \infty $ at fixed $g\,n^2\equiv \lambda$, where $g\sim\epsilon $ is the coupling at the $O(2)$ Wilson-Fisher fixed point in $4-\epsilon$ dimensions. In this limit, also non-extremal correlators can be computed. As an example, we give the complete formula for $ \langle \phi(x_1)^{n}\,\phi(x_2)^{n}\,\bar{\phi}(x_3)^{n}\,\bar{\phi}(x_4)^{n}\rangle$, which reveals an interesting structure.

hep-th/0411271

Eva Silverstein

Alex Saltman and Eva Silverstein

A New Handle on de Sitter Compactifications

26 pages, harvmac big. v2: Correction generalizing specific ingredients required for tunable negative term; conclusions and structure of potential unchanged

JHEP0601:139,2006

10.1088/1126-6708/2006/01/139

SLAC-PUB-10859, SU-ITP-4/41

hep-th astro-ph hep-ph

null

We construct a large new class of de Sitter (and anti de Sitter) vacua of critical string theory from flux compactifications on products of Riemann surfaces. In the construction, the leading effects stabilizing the moduli are perturbative. We show that these effects self-consistently dominate over standard estimates for further $\alpha^\prime$ and quantum corrections, via tuning available from large flux and brane quantum numbers.

[ { "created": "Tue, 30 Nov 2004 17:20:42 GMT", "version": "v1" }, { "created": "Sat, 4 Dec 2004 13:58:42 GMT", "version": "v2" } ]

2009-11-10

[ [ "Saltman", "Alex", "" ], [ "Silverstein", "Eva", "" ] ]

We construct a large new class of de Sitter (and anti de Sitter) vacua of critical string theory from flux compactifications on products of Riemann surfaces. In the construction, the leading effects stabilizing the moduli are perturbative. We show that these effects self-consistently dominate over standard estimates for further $\alpha^\prime$ and quantum corrections, via tuning available from large flux and brane quantum numbers.

hep-th/0011251

Ion Vasile Vancea

Ion V. Vancea

Note on Four Dp-Branes at Angles

misprints corrected, a new paragraph added, 11 pages LATeX

JHEP 0104 (2001) 020

10.1088/1126-6708/2001/04/020

IFT-P.095/2000

hep-th

null

In this note we analyse the dynamical potential of a system of four $Dp$-branes at arbitrary angles. The equilibrium configurations for various values of the relative angles and distances among branes are discussed. The known configurations of parallel branes and brane-antibranes are obtained at extrema of the dynamical potential.

[ { "created": "Tue, 28 Nov 2000 16:23:54 GMT", "version": "v1" }, { "created": "Thu, 15 Mar 2001 22:04:05 GMT", "version": "v2" } ]

2009-10-31

[ [ "Vancea", "Ion V.", "" ] ]

In this note we analyse the dynamical potential of a system of four $Dp$-branes at arbitrary angles. The equilibrium configurations for various values of the relative angles and distances among branes are discussed. The known configurations of parallel branes and brane-antibranes are obtained at extrema of the dynamical potential.

1711.11051

Keith Olive

John Ellis, Dimitri V. Nanopoulos, and Keith A. Olive

From $R^2$ Gravity to No-Scale Supergravity

15 pages, version accepted for publication

Phys. Rev. D 97, 043530 (2018)

10.1103/PhysRevD.97.043530

KCL-PH-TH/2017-60, CERN-PH-TH/2017-248, ACT-06-17, MI-TH-1771, UMN-TH-3706/17, FTPI-MINN-17/22

hep-th astro-ph.CO gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We show that $R^2$ gravity coupled conformally to scalar fields is equivalent to the real bosonic sector of SU(N,1)/SU(N)$\times$U(1) no-scale supergravity, where the conformal factor can be identified with the K\"ahler potential, and we review the construction of Starobinsky-like models of inflation within this framework.

[ { "created": "Wed, 29 Nov 2017 19:00:20 GMT", "version": "v1" }, { "created": "Fri, 9 Feb 2018 22:18:23 GMT", "version": "v2" } ]

2018-03-07

[ [ "Ellis", "John", "" ], [ "Nanopoulos", "Dimitri V.", "" ], [ "Olive", "Keith A.", "" ] ]

We show that $R^2$ gravity coupled conformally to scalar fields is equivalent to the real bosonic sector of SU(N,1)/SU(N)$\times$U(1) no-scale supergravity, where the conformal factor can be identified with the K\"ahler potential, and we review the construction of Starobinsky-like models of inflation within this framework.

0810.4094

Evgeny Buchbinder

Evgeny I. Buchbinder, Alex Buchel and Samuel E. Vazquez

Sound Waves in (2+1) Dimensional Holographic Magnetic Fluids

32 pages, LaTeX; minor corrections, references added; an error in the boundary conditions fixed, a slight change in the results

JHEP 12 (2008) 090

10.1088/1126-6708/2008/12/090

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We use the AdS/CFT correspondence to study propagation of sound waves in strongly coupled (2+1) dimensional conformal magnetic fluids. Our computation provides a nontrivial consistency check of the viscous magneto-hydrodynamics of Hartnoll-Kovtun-Muller-Sachdev to leading order in the external field. Depending on the behavior of the magnetic field in the hydrodynamic limit, we show that it can lead to further attenuation of sound waves in the (2+1) dimensional conformal plasma, or reduce the speed of sound. We present both field theory and dual supergravity descriptions of these phenomena. While to the leading order in momenta the dispersion of the sound waves obtained from the dual supergravity description agrees with the one predicted from field theory, we find a discrepancy at higher order. This suggests that further corrections to HKMS magneto-hydrodynamics are necessary.

[ { "created": "Wed, 22 Oct 2008 15:47:19 GMT", "version": "v1" }, { "created": "Tue, 4 Nov 2008 19:10:14 GMT", "version": "v2" }, { "created": "Mon, 24 Nov 2008 19:27:40 GMT", "version": "v3" }, { "created": "Mon, 22 Dec 2008 20:18:39 GMT", "version": "v4" } ]

2009-11-13

[ [ "Buchbinder", "Evgeny I.", "" ], [ "Buchel", "Alex", "" ], [ "Vazquez", "Samuel E.", "" ] ]

We use the AdS/CFT correspondence to study propagation of sound waves in strongly coupled (2+1) dimensional conformal magnetic fluids. Our computation provides a nontrivial consistency check of the viscous magneto-hydrodynamics of Hartnoll-Kovtun-Muller-Sachdev to leading order in the external field. Depending on the behavior of the magnetic field in the hydrodynamic limit, we show that it can lead to further attenuation of sound waves in the (2+1) dimensional conformal plasma, or reduce the speed of sound. We present both field theory and dual supergravity descriptions of these phenomena. While to the leading order in momenta the dispersion of the sound waves obtained from the dual supergravity description agrees with the one predicted from field theory, we find a discrepancy at higher order. This suggests that further corrections to HKMS magneto-hydrodynamics are necessary.

1511.03637

Jos\'e M. Figueroa-O'Farrill

Jos\'e Figueroa-O'Farrill and Mara Ungureanu

Homogeneous M2 duals

56 pages

null

10.1007/JHEP01(2016)150

EMPG-15-19

hep-th math.DG

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Motivated by the search for new gravity duals to M2 branes with $N>4$ supersymmetry --- equivalently, M-theory backgrounds with Killing superalgebra $\mathfrak{osp}(N|4)$ for $N>4$ --- we classify homogeneous M-theory backgrounds with symmetry Lie algebra $\mathfrak{so}(n) \oplus \mathfrak{so}(3,2)$ for $n=5,6,7$. We find that there are no new backgrounds with $n=6,7$ but we do find a number of new (to us) backgrounds with $n=5$. All backgrounds are metrically products of the form $\operatorname{AdS}_4 \times P^7$, with $P$ riemannian and homogeneous under the action of $\operatorname{SO}(5)$, or $S^4 \times Q^7$ with $Q$ lorentzian and homogeneous under the action of $\operatorname{SO}(3,2)$. At least one of the new backgrounds is supersymmetric (albeit with only $N=2$) and we show that it can be constructed from a supersymmetric Freund--Rubin background via a Wick rotation. Two of the new backgrounds have only been approximated numerically. (The second version of this paper includes an appendix by Alexander~S.~Haupt, closing a gap in our original analysis.)

[ { "created": "Wed, 11 Nov 2015 20:11:57 GMT", "version": "v1" }, { "created": "Mon, 12 Jun 2017 09:33:50 GMT", "version": "v2" } ]

2017-06-13

[ [ "Figueroa-O'Farrill", "José", "" ], [ "Ungureanu", "Mara", "" ] ]

Motivated by the search for new gravity duals to M2 branes with $N>4$ supersymmetry --- equivalently, M-theory backgrounds with Killing superalgebra $\mathfrak{osp}(N|4)$ for $N>4$ --- we classify homogeneous M-theory backgrounds with symmetry Lie algebra $\mathfrak{so}(n) \oplus \mathfrak{so}(3,2)$ for $n=5,6,7$. We find that there are no new backgrounds with $n=6,7$ but we do find a number of new (to us) backgrounds with $n=5$. All backgrounds are metrically products of the form $\operatorname{AdS}_4 \times P^7$, with $P$ riemannian and homogeneous under the action of $\operatorname{SO}(5)$, or $S^4 \times Q^7$ with $Q$ lorentzian and homogeneous under the action of $\operatorname{SO}(3,2)$. At least one of the new backgrounds is supersymmetric (albeit with only $N=2$) and we show that it can be constructed from a supersymmetric Freund--Rubin background via a Wick rotation. Two of the new backgrounds have only been approximated numerically. (The second version of this paper includes an appendix by Alexander~S.~Haupt, closing a gap in our original analysis.)

hep-th/9702191

Satoshi Uchiyama

Kanji Fujii (1), N. Ogawa (1), S. Uchiyama(1) and N. M. Chepilko (2) ((1) Hokkaido University, (2) Institute of Physics, Academy of Sciences of Ukraine)

Geometrically Induced Gauge Structure on Manifolds Embedded in a Higher Dimensional Space

52 pages, PHYZZX. To be published in Int. J. Mod. Phys. A

Int.J.Mod.Phys.A12:5235-5278,1997

10.1142/S0217751X97002814

EPHOU-96-004

hep-th

null

We explain in a context different from that of Maraner the formalism for describing motion of a particle, under the influence of a confining potential, in a neighbourhood of an n-dimensional curved manifold M^n embedded in a p-dimensional Euclidean space R^p with p >= n+2. The effective Hamiltonian on M^n has a (generally non-Abelian) gauge structure determined by geometry of M^n. Such a gauge term is defined in terms of the vectors normal to M^n, and its connection is called the N-connection. In order to see the global effect of this type of connections, the case of M^1 embedded in R^3 is examined, where the relation of an integral of the gauge potential of the N-connection (i.e., the torsion) along a path in M^1 to the Berry's phase is given through Gauss mapping of the vector tangent to M^1. Through the same mapping in the case of M^1 embedded in R^p, where the normal and the tangent quantities are exchanged, the relation of the N-connection to the induced gauge potential on the (p-1)-dimensional sphere S^{p-1} (p >= 3) found by Ohnuki and Kitakado is concretely established. Further, this latter which has the monopole-like structure is also proved to be gauge-equivalent to the spin-connection of S^{p-1}. Finally, by extending formally the fundamental equations for M^n to infinite dimensional case, the present formalism is applied to the field theory that admits a soliton solution. The resultant expression is in some respects different from that of Gervais and Jevicki.

[ { "created": "Thu, 27 Feb 1997 09:50:31 GMT", "version": "v1" }, { "created": "Sat, 1 Mar 1997 05:57:24 GMT", "version": "v2" } ]

2014-11-18

[ [ "Fujii", "Kanji", "" ], [ "Ogawa", "N.", "" ], [ "Uchiyama", "S.", "" ], [ "Chepilko", "N. M.", "" ] ]

We explain in a context different from that of Maraner the formalism for describing motion of a particle, under the influence of a confining potential, in a neighbourhood of an n-dimensional curved manifold M^n embedded in a p-dimensional Euclidean space R^p with p >= n+2. The effective Hamiltonian on M^n has a (generally non-Abelian) gauge structure determined by geometry of M^n. Such a gauge term is defined in terms of the vectors normal to M^n, and its connection is called the N-connection. In order to see the global effect of this type of connections, the case of M^1 embedded in R^3 is examined, where the relation of an integral of the gauge potential of the N-connection (i.e., the torsion) along a path in M^1 to the Berry's phase is given through Gauss mapping of the vector tangent to M^1. Through the same mapping in the case of M^1 embedded in R^p, where the normal and the tangent quantities are exchanged, the relation of the N-connection to the induced gauge potential on the (p-1)-dimensional sphere S^{p-1} (p >= 3) found by Ohnuki and Kitakado is concretely established. Further, this latter which has the monopole-like structure is also proved to be gauge-equivalent to the spin-connection of S^{p-1}. Finally, by extending formally the fundamental equations for M^n to infinite dimensional case, the present formalism is applied to the field theory that admits a soliton solution. The resultant expression is in some respects different from that of Gervais and Jevicki.

hep-th/9603052

essor Uel

D.M. Gitman, A.E. Goncalves

Pseudoclassical description of the massive Dirac particles in odd dimensions

12 pages, LaTeX (RevTeX)

Int.J.Theor.Phys.35:2427-2438,1996

10.1007/BF02085750

IFUSP/P-96-1204

hep-th

null

A pseudoclassical model is proposed to describe massive Dirac (spin one-half) particles in arbitrary odd dimensions. The quantization of the model reproduces the minimal quantum theory of spinning particles in such dimensions. A dimensional duality between the model proposed and the pseudoclassical description of Weyl particles in even dimensions is discussed.

[ { "created": "Fri, 8 Mar 1996 14:20:03 GMT", "version": "v1" } ]

2014-11-18

[ [ "Gitman", "D. M.", "" ], [ "Goncalves", "A. E.", "" ] ]

A pseudoclassical model is proposed to describe massive Dirac (spin one-half) particles in arbitrary odd dimensions. The quantization of the model reproduces the minimal quantum theory of spinning particles in such dimensions. A dimensional duality between the model proposed and the pseudoclassical description of Weyl particles in even dimensions is discussed.

1706.01364

Antonio Riotto

D. Canko, I. Gialamas, G. Jelic-Cizmek, A. Riotto and N. Tetradis

On the Catalysis of the Electroweak Vacuum Decay by Black Holes at High Temperature

LaTeX file, 15 pages, 5 figures

null

10.1140/epjc/s10052-018-5808-y

null

hep-th astro-ph.CO hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the effect of primordial black holes on the classical rate of nucleation of AdS regions within the standard electroweak vacuum at high temperature. We find that the energy barrier for transitions to the new vacuum, which determines the exponential suppression of the nucleation rate, can be reduced significantly, or even eliminated completely, in the black-hole background if the Standard Model Higgs is coupled to gravity through the renormalizable term $\xi {\cal R} h^2$.

[ { "created": "Mon, 5 Jun 2017 15:05:45 GMT", "version": "v1" } ]

2018-05-09

[ [ "Canko", "D.", "" ], [ "Gialamas", "I.", "" ], [ "Jelic-Cizmek", "G.", "" ], [ "Riotto", "A.", "" ], [ "Tetradis", "N.", "" ] ]

We study the effect of primordial black holes on the classical rate of nucleation of AdS regions within the standard electroweak vacuum at high temperature. We find that the energy barrier for transitions to the new vacuum, which determines the exponential suppression of the nucleation rate, can be reduced significantly, or even eliminated completely, in the black-hole background if the Standard Model Higgs is coupled to gravity through the renormalizable term $\xi {\cal R} h^2$.

0807.3605

Mohammad Khorrami

L. Lavaei-Yanesi, M. Khorrami

Phase structure of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere

10 pages

J.Math.Phys.49:073514,2008

10.1063/1.2956500

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The large-N behavior of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere is investigated, for small cubic couplings. It is shown that single transition at the critical area which is present for the quartic model, is split into two transitions, both of them are third order. the phase diagram of the system for small cubic couplings is obtained.

[ { "created": "Wed, 23 Jul 2008 06:26:52 GMT", "version": "v1" } ]

2008-11-26

[ [ "Lavaei-Yanesi", "L.", "" ], [ "Khorrami", "M.", "" ] ]

The large-N behavior of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere is investigated, for small cubic couplings. It is shown that single transition at the critical area which is present for the quartic model, is split into two transitions, both of them are third order. the phase diagram of the system for small cubic couplings is obtained.

1402.2973

Timm Wrase

Mathieu moonshine in four dimensional $\mathcal{N}=1$ theories

15 pages

JHEP 1404:069,2014

10.1007/JHEP04(2014)069

SU/ITP-14/04

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We show that the recently discovered Mathieu moonshine plays a role for certain four dimensional theories with $\mathcal{N}=1$ supersymmetry. These theories are obtained from the $E_8 \times E_8$ heterotic string theory by compactifying on toroidal orbifolds. We find that a universal contribution to the holomorphic gauge kinetic function can be expanded in such a way that the expansion coefficients are the dimensions of representations of the Mathieu group M$_{24}$.

[ { "created": "Wed, 12 Feb 2014 21:00:10 GMT", "version": "v1" } ]

2015-06-18

[ [ "Wrase", "Timm", "" ] ]

We show that the recently discovered Mathieu moonshine plays a role for certain four dimensional theories with $\mathcal{N}=1$ supersymmetry. These theories are obtained from the $E_8 \times E_8$ heterotic string theory by compactifying on toroidal orbifolds. We find that a universal contribution to the holomorphic gauge kinetic function can be expanded in such a way that the expansion coefficients are the dimensions of representations of the Mathieu group M$_{24}$.

1309.0769

Gregory Korchemsky

A.V.Belitsky, S.Hohenegger, G.P.Korchemsky, E.Sokatchev, A.Zhiboedov

From correlation functions to event shapes

40 pages, 1 figure; v2: typos corrected

null

10.1016/j.nuclphysb.2014.04.020

CERN-PH-TH/2013-211, IPhT-T13-210, LAPTH-047/13

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We present a new approach to computing event shape distributions or, more precisely, charge flow correlations in a generic conformal field theory (CFT). These infrared finite observables are familiar from collider physics studies and describe the angular distribution of global charges in outgoing radiation created from the vacuum by some source. The charge flow correlations can be expressed in terms of Wightman correlation functions in a certain limit. We explain how to compute these quantities starting from their Euclidean analogues by means of a non-trivial analytic continuation which, in the framework of CFT, can elegantly be performed in Mellin space. The relation between the charge flow correlations and Euclidean correlation functions can be reformulated directly in configuration space, bypassing the Mellin representation, as a certain Lorentzian double discontinuity of the correlation function integrated along the cuts. We illustrate the general formalism in N=4 SYM, making use of the well-known results on the four-point correlation function of half-BPS scalar operators. We compute the double scalar flow correlation in N=4 SYM, at weak and strong coupling and show that it agrees with known results obtained by different techniques. One of the remarkable features of the N=4 theory is that the scalar and energy flow correlations are proportional to each other. Imposing natural physical conditions on the energy flow correlations (finiteness, positivity and regularity), we formulate additional constraints on the four-point correlation functions in N=4 SYM that should be valid at any coupling and away from the planar limit.

[ { "created": "Tue, 3 Sep 2013 18:35:08 GMT", "version": "v1" }, { "created": "Thu, 1 May 2014 15:24:06 GMT", "version": "v2" } ]

2015-06-17

[ [ "Belitsky", "A. V.", "" ], [ "Hohenegger", "S.", "" ], [ "Korchemsky", "G. P.", "" ], [ "Sokatchev", "E.", "" ], [ "Zhiboedov", "A.", "" ] ]

We present a new approach to computing event shape distributions or, more precisely, charge flow correlations in a generic conformal field theory (CFT). These infrared finite observables are familiar from collider physics studies and describe the angular distribution of global charges in outgoing radiation created from the vacuum by some source. The charge flow correlations can be expressed in terms of Wightman correlation functions in a certain limit. We explain how to compute these quantities starting from their Euclidean analogues by means of a non-trivial analytic continuation which, in the framework of CFT, can elegantly be performed in Mellin space. The relation between the charge flow correlations and Euclidean correlation functions can be reformulated directly in configuration space, bypassing the Mellin representation, as a certain Lorentzian double discontinuity of the correlation function integrated along the cuts. We illustrate the general formalism in N=4 SYM, making use of the well-known results on the four-point correlation function of half-BPS scalar operators. We compute the double scalar flow correlation in N=4 SYM, at weak and strong coupling and show that it agrees with known results obtained by different techniques. One of the remarkable features of the N=4 theory is that the scalar and energy flow correlations are proportional to each other. Imposing natural physical conditions on the energy flow correlations (finiteness, positivity and regularity), we formulate additional constraints on the four-point correlation functions in N=4 SYM that should be valid at any coupling and away from the planar limit.

1007.0600

Thomas Fischbacher

Numerical tools to validate stationary points of SO(8)-gauged N=8 D=4 supergravity

9 pages, program code can be obtained by downloading paper's source from arxiv; new version contains code cleanup and extensions (scalar mass matrix code)

null

10.1016/j.cpc.2011.11.022

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Until recently, the preferred strategy to identify stationary points in the scalar potential of SO(8)-gauged N=8 supergravity in D=4 has been to consider truncations of the potential to sub-manifolds of E_{7(+7)}/SU(8) that are invariant under some postulated residual gauge group G of SO(8). As powerful alternative strategies have been shown to exist that allow one to go far beyond what this method can achieve -- and in particular have produced numerous solutions that break the SO(8) gauge group to no continuous residual symmetry -- independent verification of results becomes a problem due to both the complexity of the scalar potential and the large number of new solutions. This article introduces a conceptually simple self-contained piece of computer code that allows independent numerical validation of claims on the locations of newly discovered stationary points.

[ { "created": "Mon, 5 Jul 2010 00:15:55 GMT", "version": "v1" }, { "created": "Wed, 7 Jul 2010 03:15:12 GMT", "version": "v2" }, { "created": "Wed, 31 Aug 2011 14:36:51 GMT", "version": "v3" } ]

2015-05-19

[ [ "Fischbacher", "Thomas", "" ] ]

Until recently, the preferred strategy to identify stationary points in the scalar potential of SO(8)-gauged N=8 supergravity in D=4 has been to consider truncations of the potential to sub-manifolds of E_{7(+7)}/SU(8) that are invariant under some postulated residual gauge group G of SO(8). As powerful alternative strategies have been shown to exist that allow one to go far beyond what this method can achieve -- and in particular have produced numerous solutions that break the SO(8) gauge group to no continuous residual symmetry -- independent verification of results becomes a problem due to both the complexity of the scalar potential and the large number of new solutions. This article introduces a conceptually simple self-contained piece of computer code that allows independent numerical validation of claims on the locations of newly discovered stationary points.

hep-th/0211218

Kazumi Okuyama

D-Branes on the Null-Brane

19 pages, 1 figure, lanlmac

JHEP 0302:043,2003

10.1088/1126-6708/2003/02/043

EFI-02-51

hep-th

null

We study D-branes in the null-brane background. Using the covariant formalism of the worldsheet theory, we construct the boundary states describing D-branes on the null-brane. From the cylinder amplitudes, we find that the D-branes with codimension zero or two have time-dependent effective tensions.

[ { "created": "Fri, 22 Nov 2002 18:24:44 GMT", "version": "v1" }, { "created": "Sun, 24 Nov 2002 16:43:10 GMT", "version": "v2" }, { "created": "Wed, 27 Nov 2002 14:09:53 GMT", "version": "v3" } ]

2010-02-03

[ [ "Okuyama", "Kazumi", "" ] ]

We study D-branes in the null-brane background. Using the covariant formalism of the worldsheet theory, we construct the boundary states describing D-branes on the null-brane. From the cylinder amplitudes, we find that the D-branes with codimension zero or two have time-dependent effective tensions.

1106.2764

David Kastor

David Kastor, Sourya Ray and Jennie Traschen

Mass and Free Energy of Lovelock Black Holes

24 pages; v2 references added

null

10.1088/0264-9381/28/19/195022

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

An explicit formula for the ADM mass of an asymptotically AdS black hole in a generic Lovelock gravity theory is presented, identical in form to that in Einstein gravity, but multiplied by a function of the Lovelock coupling constants and the AdS curvature radius. A Gauss' law type formula relates the mass, which is an integral at infinity, to an expression depending instead on the horizon radius. This and other thermodynamic quantities, such as the free energy, are then analyzed in the limits of small and large horizon radius, yielding results that are independent of the detailed choice of Lovelock couplings. In even dimensions, the temperature diverges in both limits, implying the existence of a minimum temperature for black holes. The negative free energy of sufficiently large black holes implies the existence of a Hawking-Page transition. In odd dimensions the temperature still diverges for large black holes, which again have negative free energy. However, the temperature vanishes as the horizon radius tends to zero and sufficiently small black holes have positive specific heat.

[ { "created": "Tue, 14 Jun 2011 17:01:45 GMT", "version": "v1" }, { "created": "Mon, 20 Jun 2011 19:41:33 GMT", "version": "v2" } ]

2015-05-28

[ [ "Kastor", "David", "" ], [ "Ray", "Sourya", "" ], [ "Traschen", "Jennie", "" ] ]

An explicit formula for the ADM mass of an asymptotically AdS black hole in a generic Lovelock gravity theory is presented, identical in form to that in Einstein gravity, but multiplied by a function of the Lovelock coupling constants and the AdS curvature radius. A Gauss' law type formula relates the mass, which is an integral at infinity, to an expression depending instead on the horizon radius. This and other thermodynamic quantities, such as the free energy, are then analyzed in the limits of small and large horizon radius, yielding results that are independent of the detailed choice of Lovelock couplings. In even dimensions, the temperature diverges in both limits, implying the existence of a minimum temperature for black holes. The negative free energy of sufficiently large black holes implies the existence of a Hawking-Page transition. In odd dimensions the temperature still diverges for large black holes, which again have negative free energy. However, the temperature vanishes as the horizon radius tends to zero and sufficiently small black holes have positive specific heat.

hep-th/0209231

Matthew Kleban

Nemanja Kaloper, Matthew Kleban, Albion Lawrence, Stephen Shenker, Leonard Susskind

Initial Conditions for Inflation

31 pages, 4 figures

JHEP 0211:037,2002

10.1088/1126-6708/2002/11/037

null

hep-th astro-ph gr-qc hep-ph

null

Free scalar fields in de Sitter space have a one-parameter family of states invariant under the de Sitter group, including the standard thermal vacuum. We show that, except for the thermal vacuum, these states are unphysical when gravitational interactions are included. We apply these observations to the quantum state of the inflaton, and find that, at best, dramatic fine tuning is required for states other than the thermal vacuum to lead to observable features in the CMBR anisotropy.

[ { "created": "Thu, 26 Sep 2002 22:09:55 GMT", "version": "v1" } ]

2009-11-07

[ [ "Kaloper", "Nemanja", "" ], [ "Kleban", "Matthew", "" ], [ "Lawrence", "Albion", "" ], [ "Shenker", "Stephen", "" ], [ "Susskind", "Leonard", "" ] ]

Free scalar fields in de Sitter space have a one-parameter family of states invariant under the de Sitter group, including the standard thermal vacuum. We show that, except for the thermal vacuum, these states are unphysical when gravitational interactions are included. We apply these observations to the quantum state of the inflaton, and find that, at best, dramatic fine tuning is required for states other than the thermal vacuum to lead to observable features in the CMBR anisotropy.

2205.03428

Filippo Revello

Alessandro Podo, Filippo Revello

Integer solutions to the anomaly equations for a class of chiral gauge theories

30 pages. v2: one reference added and typos fixed. v3: improved discussion and added references in the introduction, results unchanged. Matches with published version

null

10.1103/PhysRevD.106.116020

null

hep-th hep-ph math-ph math.MP

http://creativecommons.org/licenses/by/4.0/

We find all the integer charge solutions to the equations for the cancellation of local gauge anomalies in a class of gauge theories which extend the Standard Model (SM) by a gauge group of the form $G \times U(1)$, where $G$ is an arbitrary semisimple compact Lie group. The SM fermions are assumed to be neutral under $G \times U(1)$ gauge interactions, while the new fermions transform in non-trivial representations of both the new and the SM gauge groups. Our analysis is valid also when the latter is embedded in an arbitrary semisimple compact Lie group. Theories with this structure have been recently studied as models of composite axions based on accidental symmetries and can provide a field theory resolution to the axion quality problem. We apply our results to cases of phenomenological interest and prove the existence of charge assignments with Peccei-Quinn symmetry protected up to dimension 18.

[ { "created": "Fri, 6 May 2022 18:01:25 GMT", "version": "v1" }, { "created": "Wed, 25 May 2022 17:55:46 GMT", "version": "v2" }, { "created": "Sun, 15 Jan 2023 22:43:50 GMT", "version": "v3" } ]

2023-01-18

[ [ "Podo", "Alessandro", "" ], [ "Revello", "Filippo", "" ] ]

We find all the integer charge solutions to the equations for the cancellation of local gauge anomalies in a class of gauge theories which extend the Standard Model (SM) by a gauge group of the form $G \times U(1)$, where $G$ is an arbitrary semisimple compact Lie group. The SM fermions are assumed to be neutral under $G \times U(1)$ gauge interactions, while the new fermions transform in non-trivial representations of both the new and the SM gauge groups. Our analysis is valid also when the latter is embedded in an arbitrary semisimple compact Lie group. Theories with this structure have been recently studied as models of composite axions based on accidental symmetries and can provide a field theory resolution to the axion quality problem. We apply our results to cases of phenomenological interest and prove the existence of charge assignments with Peccei-Quinn symmetry protected up to dimension 18.

2102.01470

Jue Hou

Bin Chen, Jue Hou, Jia Tian

Lax Connections in $T\bar{T}$-deformed Integrable Field Theories

23 pages

null

10.1088/1674-1137/ac0ee4

null

hep-th

http://creativecommons.org/licenses/by/4.0/

In this work, we try to construct the Lax connections of $T\bar{T}$-deformed integrable field theories in two different ways. With reasonable assumptions, we make ansatz and find the Lax pairs in the $T\bar{T}$-deformed affine Toda theories and the principal chiral model by solving the Lax equations directly. This way is straightforward but maybe hard to apply for general models. We then make use of the dynamical coordinate transformation to read the Lax connection in the deformed theory from the undeformed one. We find that once the inverse of the transformation is available, the Lax connection can be read easily. We show the construction explicitly for a few classes of scalar models, and find consistency with the ones in the first way.

[ { "created": "Tue, 2 Feb 2021 12:43:32 GMT", "version": "v1" } ]

2021-09-22

[ [ "Chen", "Bin", "" ], [ "Hou", "Jue", "" ], [ "Tian", "Jia", "" ] ]

In this work, we try to construct the Lax connections of $T\bar{T}$-deformed integrable field theories in two different ways. With reasonable assumptions, we make ansatz and find the Lax pairs in the $T\bar{T}$-deformed affine Toda theories and the principal chiral model by solving the Lax equations directly. This way is straightforward but maybe hard to apply for general models. We then make use of the dynamical coordinate transformation to read the Lax connection in the deformed theory from the undeformed one. We find that once the inverse of the transformation is available, the Lax connection can be read easily. We show the construction explicitly for a few classes of scalar models, and find consistency with the ones in the first way.

hep-th/9308044

John Preskill

Hoi-Kwong Lo, Kai-Ming Lee, and John Preskill

Complementarity in Wormhole Chromodynamics

12 pages and 2 figures, phyzzx, CALT-68-1880

Phys.Lett. B318 (1993) 287-292

10.1016/0370-2693(93)90130-A

null

hep-th gr-qc

null

The electric charge of a wormhole mouth and the magnetic flux ``linked'' by the wormhole are non-commuting observables, and so cannot be simultaneously diagonalized. We use this observation to resolve some puzzles in wormhole electrodynamics and chromodynamics. Specifically, we analyze the color electric field that results when a colored object traverses a wormhole, and we discuss the measurement of the wormhole charge and flux using Aharonov-Bohm interference effects. We suggest that wormhole mouths may obey conventional quantum statistics, contrary to a recent proposal by Strominger.

[ { "created": "Mon, 9 Aug 1993 20:25:21 GMT", "version": "v1" } ]

2009-10-22

[ [ "Lo", "Hoi-Kwong", "" ], [ "Lee", "Kai-Ming", "" ], [ "Preskill", "John", "" ] ]

The electric charge of a wormhole mouth and the magnetic flux ``linked'' by the wormhole are non-commuting observables, and so cannot be simultaneously diagonalized. We use this observation to resolve some puzzles in wormhole electrodynamics and chromodynamics. Specifically, we analyze the color electric field that results when a colored object traverses a wormhole, and we discuss the measurement of the wormhole charge and flux using Aharonov-Bohm interference effects. We suggest that wormhole mouths may obey conventional quantum statistics, contrary to a recent proposal by Strominger.

1111.1023

Tadashi Takayanagi

Noriaki Ogawa, Tadashi Takayanagi and Tomonori Ugajin

Holographic Fermi Surfaces and Entanglement Entropy

23 pages, 4 figures, latex, references added, minor corrections (v2,3), figures improved and typos corrected (v4)

JHEP01(2012)125

10.1007/JHEP01(2012)125

IPMU11-0180

hep-th cond-mat.str-el gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids.

[ { "created": "Fri, 4 Nov 2011 01:03:44 GMT", "version": "v1" }, { "created": "Tue, 15 Nov 2011 01:08:04 GMT", "version": "v2" }, { "created": "Fri, 18 Nov 2011 02:25:37 GMT", "version": "v3" }, { "created": "Sun, 8 Jan 2012 06:14:20 GMT", "version": "v4" } ]

2015-06-03

[ [ "Ogawa", "Noriaki", "" ], [ "Takayanagi", "Tadashi", "" ], [ "Ugajin", "Tomonori", "" ] ]

We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids.

1611.09310

Mangesh Mandlik

Sayantani Bhattacharyya, Anup Kumar Mandal, Mangesh Mandlik, Umang Mehta, Shiraz Minwalla, Utkarsh Sharma and Somyadip Thakur

Currents and Radiation from the large $D$ Black Hole Membrane

104 pages plus 69 pages appendix, 1 figure, Minor corrections

null

10.1007/JHEP05(2017)098

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

It has recently been demonstrated that black hole dynamics in a large number of dimensions $D$ reduces to the dynamics of a codimension one membrane propagating in flat space. In this paper we define a stress tensor and charge current on this membrane and explicitly determine these currents at low orders in the expansion in $\frac{1}{D}$. We demonstrate that dynamical membrane equations of motion derived in earlier work are simply conservation equations for our stress tensor and charge current. Through the paper we focus on solutions of the membrane equations which vary on a time scale of order unity. Even though the charge current and stress tensor are not parametrically small in such solutions, we show that the radiation sourced by the corresponding membrane currents is generically of order $\frac{1}{D^D}$. In this regime it follows that the `near horizon' membrane degrees of freedom are decoupled from asymptotic flat space at every perturbative order in the $\frac{1}{D}$ expansion. We also define an entropy current on the membrane and use the Hawking area theorem to demonstrate that the divergence of the entropy current is point wise non negative. We view this result as a local form of the second law of thermodynamics for membrane motion.

[ { "created": "Mon, 28 Nov 2016 20:00:21 GMT", "version": "v1" }, { "created": "Thu, 29 Dec 2016 19:35:33 GMT", "version": "v2" }, { "created": "Fri, 10 Mar 2017 18:28:21 GMT", "version": "v3" } ]

2017-08-23

[ [ "Bhattacharyya", "Sayantani", "" ], [ "Mandal", "Anup Kumar", "" ], [ "Mandlik", "Mangesh", "" ], [ "Mehta", "Umang", "" ], [ "Minwalla", "Shiraz", "" ], [ "Sharma", "Utkarsh", "" ], [ "Thakur", "Somyadip", "" ] ]

It has recently been demonstrated that black hole dynamics in a large number of dimensions $D$ reduces to the dynamics of a codimension one membrane propagating in flat space. In this paper we define a stress tensor and charge current on this membrane and explicitly determine these currents at low orders in the expansion in $\frac{1}{D}$. We demonstrate that dynamical membrane equations of motion derived in earlier work are simply conservation equations for our stress tensor and charge current. Through the paper we focus on solutions of the membrane equations which vary on a time scale of order unity. Even though the charge current and stress tensor are not parametrically small in such solutions, we show that the radiation sourced by the corresponding membrane currents is generically of order $\frac{1}{D^D}$. In this regime it follows that the `near horizon' membrane degrees of freedom are decoupled from asymptotic flat space at every perturbative order in the $\frac{1}{D}$ expansion. We also define an entropy current on the membrane and use the Hawking area theorem to demonstrate that the divergence of the entropy current is point wise non negative. We view this result as a local form of the second law of thermodynamics for membrane motion.

1805.02661

Masahide Manabe

Yoshinori Honma, Masahide Manabe

Local B-model Yukawa couplings from A-twisted correlators

29 pages, 7 figures. v2: minor changes. v3: minor changes, published version

PTEP 2018 (2018) no.7, 073A03

10.1093/ptep/pty077

null

hep-th math.AG

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Using the exact formula for the A-twisted correlation functions of the two dimensional $\mathcal{N}=(2,2)$ gauged linear sigma model, we reconsider the computation of the B-model Yukawa couplings of the local toric Calabi-Yau varieties. Our analysis is based on an exact result that has been evaluated from the supersymmetric localization technique and careful treatment of its application. We provide a detailed description of a procedure to investigate the local B-model Yukawa couplings and also test our prescription by comparing the results with known expressions evaluated from the local mirror symmetry approach. In particular, we find that the ambiguities of classical intersection numbers of a certain class of local toric Calabi-Yau varieties discovered previously can be interpreted as degrees of freedom of the twisted mass deformations.

[ { "created": "Mon, 7 May 2018 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 11 Jun 2018 14:58:23 GMT", "version": "v2" }, { "created": "Mon, 8 Oct 2018 20:29:25 GMT", "version": "v3" } ]

2018-10-10

[ [ "Honma", "Yoshinori", "" ], [ "Manabe", "Masahide", "" ] ]

Using the exact formula for the A-twisted correlation functions of the two dimensional $\mathcal{N}=(2,2)$ gauged linear sigma model, we reconsider the computation of the B-model Yukawa couplings of the local toric Calabi-Yau varieties. Our analysis is based on an exact result that has been evaluated from the supersymmetric localization technique and careful treatment of its application. We provide a detailed description of a procedure to investigate the local B-model Yukawa couplings and also test our prescription by comparing the results with known expressions evaluated from the local mirror symmetry approach. In particular, we find that the ambiguities of classical intersection numbers of a certain class of local toric Calabi-Yau varieties discovered previously can be interpreted as degrees of freedom of the twisted mass deformations.

1701.05280

Aiichi Iwazaki

Monopole and Polyakov loop

7 pages, no figures

Phys. Rev. D 95, 094026 (2017)

10.1103/PhysRevD.95.094026

Nisho-1-2017

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We propose a new order parameter of a $Z_N$ symmetry in SU(N) gauge theories in $4$ dimensional Minkowski space-time, assuming spatial periodic boundary conditions. It is given by $Tr(P\exp(i\int_c A_{\mu}dx^{\mu}))$ where the spatial path $c$ is taken, for example, along $x_1$ axis. The parameter vanishes when the $Z_N$ symmetry is preserved. We calculate the contribution of QCD monopoles to the order parameter and show that when the monopoles condense $\langle\Phi\rangle\neq 0$, it vanishes, while it does not vanish when they do not condense. These calculations are performed using a monopole field $\Phi$ canonically quantized in a model of dual superconductor.

[ { "created": "Thu, 19 Jan 2017 02:05:04 GMT", "version": "v1" }, { "created": "Tue, 4 Apr 2017 04:03:45 GMT", "version": "v2" }, { "created": "Fri, 21 Apr 2017 01:13:51 GMT", "version": "v3" } ]

2017-06-07

[ [ "Iwazaki", "Aiichi", "" ] ]

We propose a new order parameter of a $Z_N$ symmetry in SU(N) gauge theories in $4$ dimensional Minkowski space-time, assuming spatial periodic boundary conditions. It is given by $Tr(P\exp(i\int_c A_{\mu}dx^{\mu}))$ where the spatial path $c$ is taken, for example, along $x_1$ axis. The parameter vanishes when the $Z_N$ symmetry is preserved. We calculate the contribution of QCD monopoles to the order parameter and show that when the monopoles condense $\langle\Phi\rangle\neq 0$, it vanishes, while it does not vanish when they do not condense. These calculations are performed using a monopole field $\Phi$ canonically quantized in a model of dual superconductor.

2004.02856

Mohammad Ali-Akbari

B. Amrahi, M. Ali-Akbari, M. Asadi

Holographic Entanglement of Purification near a Critical Point

10 pages, 10 figures

null

10.1140/epjc/s10052-020-08647-8

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In the presence of finite chemical potential $\mu$, we holographically compute the entanglement of purification in a $2+1$- and $3+1$-dimensional field theory and also in a $3+1$-dimensional field theory with a critical point. We observe that compared to $2+1$- and $3+1$-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of $\frac{\mu}{T}$ where $T$ is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.

[ { "created": "Mon, 6 Apr 2020 17:48:51 GMT", "version": "v1" } ]

2020-12-30

[ [ "Amrahi", "B.", "" ], [ "Ali-Akbari", "M.", "" ], [ "Asadi", "M.", "" ] ]

In the presence of finite chemical potential $\mu$, we holographically compute the entanglement of purification in a $2+1$- and $3+1$-dimensional field theory and also in a $3+1$-dimensional field theory with a critical point. We observe that compared to $2+1$- and $3+1$-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of $\frac{\mu}{T}$ where $T$ is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.

hep-th/0502105

Aaron Bergman

Undoing Orbifold Quivers

18 pages, LaTeX, uses utarticle.cls, xypic, v2:minor corrections, v3:more minor corrections

JHEP 0703:112,2007

10.1088/1126-6708/2007/03/112

UTTG-02-05

hep-th

null

A number of new papers have greatly elucidated the derivation of quiver gauge theories from D-branes at a singularity. A complete story has now been developed for the total space of the canonical line bundle over a smooth Fano 2-fold. In the context of the AdS/CFT conjecture, this corresponds to eight of the ten regular Sasaki-Einstein 5-folds. Interestingly, the two remaining spaces are among the earliest examples, the sphere and T^{11}. I show how to obtain the (well-known) quivers for these theories by interpreting the canonical line bundle as the resolution of an orbifold using the McKay correspondence. I then obtain the correct quivers by undoing the orbifold. I also conjecture, in general, an autoequivalence that implements the orbifold group action on the derived cateory. This yields a new order two autoequivalence for the Z_2 quotient of the conifold.

[ { "created": "Thu, 10 Feb 2005 22:01:21 GMT", "version": "v1" }, { "created": "Fri, 18 Feb 2005 02:28:48 GMT", "version": "v2" }, { "created": "Mon, 11 Apr 2005 19:40:21 GMT", "version": "v3" } ]

2010-10-27

[ [ "Bergman", "Aaron", "" ] ]

A number of new papers have greatly elucidated the derivation of quiver gauge theories from D-branes at a singularity. A complete story has now been developed for the total space of the canonical line bundle over a smooth Fano 2-fold. In the context of the AdS/CFT conjecture, this corresponds to eight of the ten regular Sasaki-Einstein 5-folds. Interestingly, the two remaining spaces are among the earliest examples, the sphere and T^{11}. I show how to obtain the (well-known) quivers for these theories by interpreting the canonical line bundle as the resolution of an orbifold using the McKay correspondence. I then obtain the correct quivers by undoing the orbifold. I also conjecture, in general, an autoequivalence that implements the orbifold group action on the derived cateory. This yields a new order two autoequivalence for the Z_2 quotient of the conifold.

0707.1157

Rafael Rodrigues

R. de Lima Rodrigues

On the Dirac Oscillator

10 pages, no figure. News references and comments. This work begun in collaboration with Jambunatha Jayaraman (In memory) and Arvind Narayan Vaidya (In memory), author's Ph. D. supervisors, whose advises and encouragement were fundamental in the development of the thesis. To appear in Physics Letters A

Phys.Lett.A372:2587-2591,2008

10.1016/j.physleta.2007.12.070

null

hep-th

null

In the present work we obtain a new representation for the Dirac oscillator based on the Clifford algebra $C\ell_7.$ The symmetry breaking and the energy eigenvalues for our model of the Dirac oscillator are studied in the non-relativistic limit.

[ { "created": "Sun, 8 Jul 2007 20:27:51 GMT", "version": "v1" }, { "created": "Tue, 18 Dec 2007 00:38:03 GMT", "version": "v2" } ]

2008-11-26

[ [ "Rodrigues", "R. de Lima", "" ] ]

In the present work we obtain a new representation for the Dirac oscillator based on the Clifford algebra $C\ell_7.$ The symmetry breaking and the energy eigenvalues for our model of the Dirac oscillator are studied in the non-relativistic limit.

0804.3180

Wen-Yu Wen

Eiji Nakano, Wen-Yu Wen

Critical magnetic field in AdS/CFT superconductor

8 pages, 3 figures, REVTeX v4. Typos corrected and Fig.3 replaced

Phys.Rev.D78:046004,2008

10.1103/PhysRevD.78.046004

null

hep-th cond-mat.supr-con

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We have studied a holographically dual description of superconductor in (2+1)-dimensions in the presence of applied magnetic field, and observed that there exists a critical value of magnetic field, below which a charged condensate can form via a second order phase transition.

[ { "created": "Mon, 21 Apr 2008 07:08:58 GMT", "version": "v1" }, { "created": "Sun, 11 May 2008 10:15:31 GMT", "version": "v2" } ]

2010-05-28

[ [ "Nakano", "Eiji", "" ], [ "Wen", "Wen-Yu", "" ] ]

We have studied a holographically dual description of superconductor in (2+1)-dimensions in the presence of applied magnetic field, and observed that there exists a critical value of magnetic field, below which a charged condensate can form via a second order phase transition.

hep-th/0306155

Heinz Rothe

Heinz J. Rothe

Dirac's Constrained Hamiltonian Dynamics from an Unconstrained Dynamics

10 pages

Phys.Lett.B569:90-94,2003

10.1016/j.physletb.2003.07.014

HD-THEP-03-28

hep-th

null

We derive the Hamilton equations of motion for a constrained system in the form given by Dirac, by a limiting procedure, starting from the Lagrangean for an unconstrained system. We thereby ellucidate the role played by the primary constraints and their persistance in time.

[ { "created": "Tue, 17 Jun 2003 09:06:32 GMT", "version": "v1" } ]

2011-08-17

[ [ "Rothe", "Heinz J.", "" ] ]

We derive the Hamilton equations of motion for a constrained system in the form given by Dirac, by a limiting procedure, starting from the Lagrangean for an unconstrained system. We thereby ellucidate the role played by the primary constraints and their persistance in time.

hep-th/0608092

Christian Hillmann

Christian Hillmann, Axel Kleinschmidt

Pure type I supergravity and DE(10)

28 pages

Gen.Rel.Grav.38:1861-1885,2006

10.1007/s10714-006-0352-8

AEI-2006-064

hep-th

null

We establish a dynamical equivalence between the bosonic part of pure type I supergravity in D=10 and a D=1 non-linear sigma-model on the Kac-Moody coset space DE(10)/K(DE(10)) if both theories are suitably truncated. To this end we make use of a decomposition of DE(10) under its regular SO(9,9) subgroup. Our analysis also deals partly with the fermionic fields of the supergravity theory and we define corresponding representations of the generalized spatial Lorentz group K(DE(10)).

[ { "created": "Mon, 14 Aug 2006 17:39:20 GMT", "version": "v1" } ]

2008-11-26

[ [ "Hillmann", "Christian", "" ], [ "Kleinschmidt", "Axel", "" ] ]

We establish a dynamical equivalence between the bosonic part of pure type I supergravity in D=10 and a D=1 non-linear sigma-model on the Kac-Moody coset space DE(10)/K(DE(10)) if both theories are suitably truncated. To this end we make use of a decomposition of DE(10) under its regular SO(9,9) subgroup. Our analysis also deals partly with the fermionic fields of the supergravity theory and we define corresponding representations of the generalized spatial Lorentz group K(DE(10)).

2402.13888

Saebyeok Jeong

Saebyeok Jeong, Norton Lee, Nikita Nekrasov

di-Langlands correspondence and extended observables

50+11 pages

null

CERN-TH-2023-220, CGP24002

hep-th math-ph math.DG math.MP math.QA nlin.SI

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We explore the $\textit{difference Langlands correspondence}$ using the four dimensional ${\mathcal{N}}=2$ super-QCD. Surface defects and surface observables play the crucial role. As an application, we give the first construction of the full set of quantum integrals, i.e. commuting differential operators, such that the partition function of the so-called regular monodromy surface defect is their joint eigenvectors in an evaluation module over the Yangian $Y(\mathfrak{gl}(2))$, making it the wavefunction of a $N$-site $\mathfrak{gl}(2)$ spin chain with bi-infinite spin modules. We construct the $\mathbf{Q}$- and $\tilde{\mathbf{Q}}$-surface observables which are believed to be the $Q$-operators on the bi-infinite module over the Yangian $Y(\mathfrak{gl}(2))$, and compute their eigenvalues, the $Q$-functions, as vevs of the surface observables.

[ { "created": "Wed, 21 Feb 2024 16:00:36 GMT", "version": "v1" } ]

2024-02-22

[ [ "Jeong", "Saebyeok", "" ], [ "Lee", "Norton", "" ], [ "Nekrasov", "Nikita", "" ] ]

We explore the $\textit{difference Langlands correspondence}$ using the four dimensional ${\mathcal{N}}=2$ super-QCD. Surface defects and surface observables play the crucial role. As an application, we give the first construction of the full set of quantum integrals, i.e. commuting differential operators, such that the partition function of the so-called regular monodromy surface defect is their joint eigenvectors in an evaluation module over the Yangian $Y(\mathfrak{gl}(2))$, making it the wavefunction of a $N$-site $\mathfrak{gl}(2)$ spin chain with bi-infinite spin modules. We construct the $\mathbf{Q}$- and $\tilde{\mathbf{Q}}$-surface observables which are believed to be the $Q$-operators on the bi-infinite module over the Yangian $Y(\mathfrak{gl}(2))$, and compute their eigenvalues, the $Q$-functions, as vevs of the surface observables.

hep-th/0206017

Freddy A. Cachazo B.

Freddy Cachazo, Cumrun Vafa

N=1 and N=2 Geometry from Fluxes

27 pages, 1 figure

null

hep-th

null

We provide a proof of the equivalence of N=1 dynamics obtained by deforming N=2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes. In particular we show that minimization of the superpotential involving gaugino fields is equivalent to finding loci where Seiberg-Witten curve has certain factorization property. Moreover, by considering the limit of turning off of the superpotential we obtain the full low energy dynamics of N=2 gauge systems from Calabi-Yau geometries with fluxes.

[ { "created": "Mon, 3 Jun 2002 17:09:06 GMT", "version": "v1" } ]

2007-05-23

[ [ "Cachazo", "Freddy", "" ], [ "Vafa", "Cumrun", "" ] ]

We provide a proof of the equivalence of N=1 dynamics obtained by deforming N=2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes. In particular we show that minimization of the superpotential involving gaugino fields is equivalent to finding loci where Seiberg-Witten curve has certain factorization property. Moreover, by considering the limit of turning off of the superpotential we obtain the full low energy dynamics of N=2 gauge systems from Calabi-Yau geometries with fluxes.

1406.5650

Koki Takesue

Atsushi Nakamula, Nobuyuki Sawado, and Koki Takesue

Aspects of $C_3$-symmetric calorons from numerical Nahm transform

7 pages, 3 figures

null

10.1088/1742-6596/563/1/012032

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Calorons are finite action solutions to the anti-selfdual Yang-Mills equations on $\mathbb{R}^3\times S^1$. They are generally constructed by the so called Nahm construction. We perform the numerical Nahm transform for the Nahm data of 3-calorons with $C_3$-symmetry, which do not have the monopole limits. Dissimilar to the cases of having monopole limits, we can trace the zero-circumference limit of $S^1$.It is found that the action density of the calorons tends to fade away as $S^1$ shrinks.

[ { "created": "Sat, 21 Jun 2014 21:07:18 GMT", "version": "v1" } ]

2015-06-22

[ [ "Nakamula", "Atsushi", "" ], [ "Sawado", "Nobuyuki", "" ], [ "Takesue", "Koki", "" ] ]

Calorons are finite action solutions to the anti-selfdual Yang-Mills equations on $\mathbb{R}^3\times S^1$. They are generally constructed by the so called Nahm construction. We perform the numerical Nahm transform for the Nahm data of 3-calorons with $C_3$-symmetry, which do not have the monopole limits. Dissimilar to the cases of having monopole limits, we can trace the zero-circumference limit of $S^1$.It is found that the action density of the calorons tends to fade away as $S^1$ shrinks.

1312.7168

Rolf Schimmrigk

Automorphic Black Hole Entropy

Invited review

null

10.1142/S0217732313300267

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Over the past few years the understanding of the microscopic theory of black hole entropy has made important conceptual progress by recognizing that the degeneracies are encoded in partition functions which are determined by higher rank automorphic representations, in particular in the context of Siegel modular forms of genus two. In this brief review some of the elements of this framework are highlighted. One of the surprising aspects is that the Siegel forms that have appeared in the entropic framework are geometric in origin, arising from weight two cusp forms, hence from elliptic curves.

[ { "created": "Fri, 27 Dec 2013 01:18:39 GMT", "version": "v1" } ]

2015-06-18

[ [ "Schimmrigk", "Rolf", "" ] ]

Over the past few years the understanding of the microscopic theory of black hole entropy has made important conceptual progress by recognizing that the degeneracies are encoded in partition functions which are determined by higher rank automorphic representations, in particular in the context of Siegel modular forms of genus two. In this brief review some of the elements of this framework are highlighted. One of the surprising aspects is that the Siegel forms that have appeared in the entropic framework are geometric in origin, arising from weight two cusp forms, hence from elliptic curves.

hep-th/9611150

null

R Delbourgo, D Elliott and D McAnally

Dimensional Renormalization in phi^3 theory: ladders and rainbows

11 pages, LaTeX, no figures

Phys.Rev.D55:5230-5233,1997

10.1103/PhysRevD.55.5230

UTAS-PHYS-96-06

hep-th

null

The sum of all ladder and rainbow diagrams in $\phi^3$ theory near 6 dimensions leads to self-consistent higher order differential equations in coordinate space which are not particularly simple for arbitrary dimension D. We have now succeeded in solving these equations, expressing the results in terms of generalized hypergeometric functions; the expansion and representation of these functions can then be used to prove the absence of renormalization factors which are transcendental for this theory and this topology to all orders in perturbation theory. The correct anomalous scaling dimensions of the Green functions are also obtained in the six-dimensional limit.

[ { "created": "Wed, 20 Nov 1996 15:04:00 GMT", "version": "v1" } ]

2008-11-26

[ [ "Delbourgo", "R", "" ], [ "Elliott", "D", "" ], [ "McAnally", "D", "" ] ]

The sum of all ladder and rainbow diagrams in $\phi^3$ theory near 6 dimensions leads to self-consistent higher order differential equations in coordinate space which are not particularly simple for arbitrary dimension D. We have now succeeded in solving these equations, expressing the results in terms of generalized hypergeometric functions; the expansion and representation of these functions can then be used to prove the absence of renormalization factors which are transcendental for this theory and this topology to all orders in perturbation theory. The correct anomalous scaling dimensions of the Green functions are also obtained in the six-dimensional limit.

1509.08505

Wout Merbis

Daniel Grumiller and Wout Merbis

Free energy of topologically massive gravity and flat space holography

9 pages, prepared for the proceedings of the Karl Schwarzschild meeting 2015. v2. Typo's corrected and ref's added

null

TUW-15-18

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We calculate the free energy from the on-shell action for topologically massive gravity with negative and vanishing cosmological constant, thereby providing a first principles derivation of the free energy of Banados-Teitelboim-Zanelli (BTZ) black holes and flat space cosmologies. We summarize related recent checks of flat space holography.

[ { "created": "Mon, 28 Sep 2015 20:56:06 GMT", "version": "v1" }, { "created": "Tue, 4 Jul 2017 10:30:36 GMT", "version": "v2" } ]

2017-07-05

[ [ "Grumiller", "Daniel", "" ], [ "Merbis", "Wout", "" ] ]

We calculate the free energy from the on-shell action for topologically massive gravity with negative and vanishing cosmological constant, thereby providing a first principles derivation of the free energy of Banados-Teitelboim-Zanelli (BTZ) black holes and flat space cosmologies. We summarize related recent checks of flat space holography.

2201.09860

Amir Abbass Varshovi

A. A. Varshovi

Brownian Motion in the Hilbert Space of Quantum States along with the Ricci Flow and Stochastically Emergent Einstein-Hilbert Action: Formulating a Well-Defined Feynman Path-Integral Measure for Quantum Fields in the Presence of Gravity

30 pages

null

hep-th gr-qc math-ph math.MP

http://creativecommons.org/licenses/by/4.0/

In this paper, we aim to interpret the background gravitational effects appearing in quantum field theory on curved space-time by studying the Brownian motion of quantum states along with the Hamilton-Perelman Ricci flow. It has been shown that the Wiener measure automatically contains the Einstein-Hilbert action and the path-integral formulation of the scalar quantum field theory on curved space-time at the first order of local approximations. This provides a well-defined formulation of the path-integral measure for quantum field theory in the presence of gravity. However, we establish that the emergence of Einstein-Hilbert action is independent of the matter field interactions and is a merely entropic/geometric effect stemming from the nature of the Ricci flow of the universe geometry. We also extract an explicit formula for the cosmological constant in terms of the Ricci flow and the Hamilton theorem for 3-manifolds. Then, we discuss the cosmological features of the FLRW solution in the LambdaCDM Model via the derived equations of the Ricci flow. We also argue the correlation between our formulations and the entropic aspects of gravity. Finally, we provide some theoretical evidence that proves the second law of thermodynamics is the basic source of gravity and probably a more fundamental concept.

[ { "created": "Mon, 24 Jan 2022 18:34:07 GMT", "version": "v1" }, { "created": "Tue, 5 Apr 2022 18:30:52 GMT", "version": "v2" }, { "created": "Sun, 16 Jun 2024 03:56:29 GMT", "version": "v3" } ]

2024-06-18

[ [ "Varshovi", "A. A.", "" ] ]

In this paper, we aim to interpret the background gravitational effects appearing in quantum field theory on curved space-time by studying the Brownian motion of quantum states along with the Hamilton-Perelman Ricci flow. It has been shown that the Wiener measure automatically contains the Einstein-Hilbert action and the path-integral formulation of the scalar quantum field theory on curved space-time at the first order of local approximations. This provides a well-defined formulation of the path-integral measure for quantum field theory in the presence of gravity. However, we establish that the emergence of Einstein-Hilbert action is independent of the matter field interactions and is a merely entropic/geometric effect stemming from the nature of the Ricci flow of the universe geometry. We also extract an explicit formula for the cosmological constant in terms of the Ricci flow and the Hamilton theorem for 3-manifolds. Then, we discuss the cosmological features of the FLRW solution in the LambdaCDM Model via the derived equations of the Ricci flow. We also argue the correlation between our formulations and the entropic aspects of gravity. Finally, we provide some theoretical evidence that proves the second law of thermodynamics is the basic source of gravity and probably a more fundamental concept.

2003.06425

Ioannis Papadimitriou

Giorgos Anastasiou, Olivera Miskovic, Rodrigo Olea, Ioannis Papadimitriou

Counterterms, Kounterterms, and the variational problem in AdS gravity

48 pages

null

10.1007/JHEP08(2020)061

KIAS-P20010

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the Kounterterms lead to a well posed variational problem for generic asymptotically locally AdS manifolds only in four dimensions. We determine the exact form of the counterterms for conformally flat boundaries and demonstrate that, in even dimensions, the Kounterterms take exactly the same form. This agreement can be understood as a consequence of Anderson's theorem for the renormalized volume of conformally compact Einstein 4-manifolds and its higher dimensional generalizations by Albin and Chang, Qing and Yang. For odd dimensional asymptotically locally AdS manifolds with a conformally flat boundary, the Kounterterms coincide with the boundary counterterms except for the logarithmic divergence associated with the holographic conformal anomaly, and finite local terms.

[ { "created": "Fri, 13 Mar 2020 18:00:02 GMT", "version": "v1" } ]

2020-12-02

[ [ "Anastasiou", "Giorgos", "" ], [ "Miskovic", "Olivera", "" ], [ "Olea", "Rodrigo", "" ], [ "Papadimitriou", "Ioannis", "" ] ]

We show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the Kounterterms lead to a well posed variational problem for generic asymptotically locally AdS manifolds only in four dimensions. We determine the exact form of the counterterms for conformally flat boundaries and demonstrate that, in even dimensions, the Kounterterms take exactly the same form. This agreement can be understood as a consequence of Anderson's theorem for the renormalized volume of conformally compact Einstein 4-manifolds and its higher dimensional generalizations by Albin and Chang, Qing and Yang. For odd dimensional asymptotically locally AdS manifolds with a conformally flat boundary, the Kounterterms coincide with the boundary counterterms except for the logarithmic divergence associated with the holographic conformal anomaly, and finite local terms.

1412.0226

Alexander Reshetnyak

Pavel Yu. Moshin and Alexander A. Reshetnyak

Finite BRST-antiBRST Transformations for the Theories with Gauge Group

6 pages, based on the talk at "Quantum Field Theory and Gravity 2014" (QFTG'2014, July 28-August 3, 2014, Tomsk, Russia) to appear in TSPU Bulletin 12 (2014)

TSPU Bulletin 12 (2014) 189-194

null

hep-th math-ph math.DS math.MP math.RT quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Following our recent study [P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92], we discuss the notion of finite BRST-antiBRST transformations, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting (both global and field-dependent) Grassmann parameters. It turns out that the global finite BRST-antiBRST transformations form a 2-parametric Abelian supergroup. We find an explicit Jacobian corresponding to this change of variables in the theories with a gauge group. Special field-dependent BRST-antiBRST transformations for the Yang--Mills path integral with $s_{a}$-potential (functionally-dependent) parameters $\lambda_{a}=s_{a}\Lambda$ generated by a finite even-valued functional $\Lambda$ and the anticommuting generators $s_{a}$ of BRST-antiBRST transformations, amount to a precise change of the gauge-fixing functional. This proves the independence of the vacuum functional under such BRST-antiBRST transformations and leads to the presence of modified Ward identities. The form of transformation parameters that induces a change of the gauge in the path integral is found and is exactly evaluated for connecting two arbitrary $R_{\xi}$-like gauges. The finite field-dependent BRST-antiBRST transformations are used to generalize the Gribov horizon functional $h_{ 0 }$, in the Landau gauge of the BRST-antiBRST setting in the Gribov--Zwanziger model, and to find $h_{\xi}$ corresponding to general $R_{\xi}$-like gauges in the form compatible with a gauge-independent $S$-matrix.

[ { "created": "Sun, 30 Nov 2014 15:13:34 GMT", "version": "v1" } ]

2014-12-11

[ [ "Moshin", "Pavel Yu.", "" ], [ "Reshetnyak", "Alexander A.", "" ] ]

Following our recent study [P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92], we discuss the notion of finite BRST-antiBRST transformations, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting (both global and field-dependent) Grassmann parameters. It turns out that the global finite BRST-antiBRST transformations form a 2-parametric Abelian supergroup. We find an explicit Jacobian corresponding to this change of variables in the theories with a gauge group. Special field-dependent BRST-antiBRST transformations for the Yang--Mills path integral with $s_{a}$-potential (functionally-dependent) parameters $\lambda_{a}=s_{a}\Lambda$ generated by a finite even-valued functional $\Lambda$ and the anticommuting generators $s_{a}$ of BRST-antiBRST transformations, amount to a precise change of the gauge-fixing functional. This proves the independence of the vacuum functional under such BRST-antiBRST transformations and leads to the presence of modified Ward identities. The form of transformation parameters that induces a change of the gauge in the path integral is found and is exactly evaluated for connecting two arbitrary $R_{\xi}$-like gauges. The finite field-dependent BRST-antiBRST transformations are used to generalize the Gribov horizon functional $h_{ 0 }$, in the Landau gauge of the BRST-antiBRST setting in the Gribov--Zwanziger model, and to find $h_{\xi}$ corresponding to general $R_{\xi}$-like gauges in the form compatible with a gauge-independent $S$-matrix.

1203.6892

Sean Downes

Sean Downes, Bhaskar Dutta, Kuver Sinha

Attractors, Universality and Inflation

32 pages, 8 figures. Typos and figures fixed

Phys. Rev. D86, 103509 (2012)

10.1103/PhysRevD.86.103509

null

hep-th astro-ph.CO gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Studies of the initial conditions for inflation have conflicting predictions from exponential suppression to inevitability. At the level of phase space, this conflict arises from the competing intuitions of CPT invariance and thermodynamics. After reviewing this conflict, we enlarge the ensemble beyond phase space to include scalar potential data. We show how this leads to an important contribution from inflection point inflation, enhancing the likelihood of inflation to an inverse cubic power law. In the process, we emphasize the attractor dynamics of the gravity-scalar system and the existence of universality classes from inflection point inflation. Finally, we comment on the predictivity of inflation in light of these results.

[ { "created": "Fri, 30 Mar 2012 19:10:51 GMT", "version": "v1" }, { "created": "Mon, 11 Jun 2012 02:47:26 GMT", "version": "v2" }, { "created": "Fri, 27 Jul 2012 21:04:59 GMT", "version": "v3" } ]

2012-11-20

[ [ "Downes", "Sean", "" ], [ "Dutta", "Bhaskar", "" ], [ "Sinha", "Kuver", "" ] ]

Studies of the initial conditions for inflation have conflicting predictions from exponential suppression to inevitability. At the level of phase space, this conflict arises from the competing intuitions of CPT invariance and thermodynamics. After reviewing this conflict, we enlarge the ensemble beyond phase space to include scalar potential data. We show how this leads to an important contribution from inflection point inflation, enhancing the likelihood of inflation to an inverse cubic power law. In the process, we emphasize the attractor dynamics of the gravity-scalar system and the existence of universality classes from inflection point inflation. Finally, we comment on the predictivity of inflation in light of these results.

hep-th/9802094

Ron Donagi

Ron Y. Donagi

Taniguchi Lecture on Principal Bundles on Elliptic Fibrations

17 pages, Latex

null

hep-th math.AG

null

In this talk we discuss the description of the moduli space of principal G-bundles on an elliptic fibration X-->S in terms of cameral covers and their distinguished Prym varieties. We emphasize the close relationship between this problem and the integrability of Hitchin's system and its generalizations. The discussion roughly parallels that of [D2], but additional examples are included and some important steps of the argument are illustrated. Some of the applications to heterotic/F-theory duality were described in the accompanying ICMP talk (hep-th/9802093).

[ { "created": "Thu, 12 Feb 1998 22:58:22 GMT", "version": "v1" } ]

2007-05-23

[ [ "Donagi", "Ron Y.", "" ] ]

In this talk we discuss the description of the moduli space of principal G-bundles on an elliptic fibration X-->S in terms of cameral covers and their distinguished Prym varieties. We emphasize the close relationship between this problem and the integrability of Hitchin's system and its generalizations. The discussion roughly parallels that of [D2], but additional examples are included and some important steps of the argument are illustrated. Some of the applications to heterotic/F-theory duality were described in the accompanying ICMP talk (hep-th/9802093).

1009.5768

Suresh Nampuri Mr.

Suresh Nampuri, Masoud Soroush

New Perspectives on Attractor Flows and Trees from CFT

28 pages, 3 figures, References added and clarifications

null

ASC-LMU 69/10

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this note, we use the first order formalism for attractor flows in N=2 SUGRA extremal black hole backgrounds to establish a formal correspondence between the RG flow of moduli in the underlying N=(2,2) SCFT and bulk attractor flows. Starting from a study of moduli flow trajectories in the CFT, we derive a potential which generates the aforesaid flow. This potential is shown to be a symplectic invariant with the same form as the black hole potential which drives the attractor flows in the bulk. We use these results to make comments on the non-renormalization of extremal black hole entropy and indicate a similar correspondence for two-centered forked flows in CFT.

[ { "created": "Wed, 29 Sep 2010 04:35:35 GMT", "version": "v1" }, { "created": "Sun, 3 Oct 2010 19:05:09 GMT", "version": "v2" }, { "created": "Mon, 24 Oct 2011 12:27:55 GMT", "version": "v3" } ]

2015-03-17

[ [ "Nampuri", "Suresh", "" ], [ "Soroush", "Masoud", "" ] ]

In this note, we use the first order formalism for attractor flows in N=2 SUGRA extremal black hole backgrounds to establish a formal correspondence between the RG flow of moduli in the underlying N=(2,2) SCFT and bulk attractor flows. Starting from a study of moduli flow trajectories in the CFT, we derive a potential which generates the aforesaid flow. This potential is shown to be a symplectic invariant with the same form as the black hole potential which drives the attractor flows in the bulk. We use these results to make comments on the non-renormalization of extremal black hole entropy and indicate a similar correspondence for two-centered forked flows in CFT.

hep-th/9210074

Craig Tracy

Craig A. Tracy and Harold Widom

Level-Spacing Distributions and the Airy Kernel

9 pages

Phys.Lett. B305 (1993) 115-118

10.1016/0370-2693(93)91114-3

ITD 92/93-11

hep-th cond-mat math-ph math.MP nlin.SI solv-int

null

Scaling level-spacing distribution functions in the ``bulk of the spectrum'' in random matrix models of $N\times N$ hermitian matrices and then going to the limit $N\to\infty$, leads to the Fredholm determinant of the sine kernel $\sin\pi(x-y)/\pi (x-y)$. Similarly a double scaling limit at the ``edge of the spectrum'' leads to the Airy kernel $[{\rm Ai}(x) {\rm Ai}'(y) -{\rm Ai}'(x) {\rm Ai}(y)]/(x-y)$. We announce analogies for this Airy kernel of the following properties of the sine kernel: the completely integrable system of P.D.E.'s found by Jimbo, Miwa, M{\^o}ri and Sato; the expression, in the case of a single interval, of the Fredholm determinant in terms of a Painlev{\'e} transcendent; the existence of a commuting differential operator; and the fact that this operator can be used in the derivation of asymptotics, for general $n$, of the probability that an interval contains precisely $n$ eigenvalues.

[ { "created": "Wed, 14 Oct 1992 00:52:35 GMT", "version": "v1" } ]

2009-07-13

[ [ "Tracy", "Craig A.", "" ], [ "Widom", "Harold", "" ] ]

Scaling level-spacing distribution functions in the ``bulk of the spectrum'' in random matrix models of $N\times N$ hermitian matrices and then going to the limit $N\to\infty$, leads to the Fredholm determinant of the sine kernel $\sin\pi(x-y)/\pi (x-y)$. Similarly a double scaling limit at the ``edge of the spectrum'' leads to the Airy kernel $[{\rm Ai}(x) {\rm Ai}'(y) -{\rm Ai}'(x) {\rm Ai}(y)]/(x-y)$. We announce analogies for this Airy kernel of the following properties of the sine kernel: the completely integrable system of P.D.E.'s found by Jimbo, Miwa, M{\^o}ri and Sato; the expression, in the case of a single interval, of the Fredholm determinant in terms of a Painlev{\'e} transcendent; the existence of a commuting differential operator; and the fact that this operator can be used in the derivation of asymptotics, for general $n$, of the probability that an interval contains precisely $n$ eigenvalues.

1912.01961

Mikhail Altaisky

M. V. Altaisky

Wavelet regularization of gauge theories

15 LaTeX pages, 8 figures

Phys. Rev. D 101, 105004 (2020)

10.1103/PhysRevD.101.105004

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Extending the principle of local gauge invariance $\psi(x)\to \exp\left(\imath \sum_A \omega^A(x)T^A \right) \psi(x), x \in \mathbb{R}^d$, with $T^A$ being the generators of the gauge group $\mathcal{A}$, to the fields $\psi(g)\equiv \langle \chi|\Omega^*(g)|\psi\rangle$, defined on a locally compact Lie group $G$, $g\in G$, where $\Omega(g)$ is suitable square-integrable representation of $G$, it is shown that taking the coordinates ($g$) on the affine group, we get a gauge theory that is finite by construction. The renormalization group in the constructed theory relates to each other the charges measured at different scales. The case of the $\mathcal{A}=SU(N)$ gauge group is considered.

[ { "created": "Tue, 26 Nov 2019 05:35:16 GMT", "version": "v1" }, { "created": "Fri, 6 Dec 2019 17:49:46 GMT", "version": "v2" }, { "created": "Wed, 25 Mar 2020 07:48:54 GMT", "version": "v3" }, { "created": "Thu, 7 May 2020 08:40:22 GMT", "version": "v4" } ]

2020-05-13

[ [ "Altaisky", "M. V.", "" ] ]

Extending the principle of local gauge invariance $\psi(x)\to \exp\left(\imath \sum_A \omega^A(x)T^A \right) \psi(x), x \in \mathbb{R}^d$, with $T^A$ being the generators of the gauge group $\mathcal{A}$, to the fields $\psi(g)\equiv \langle \chi|\Omega^*(g)|\psi\rangle$, defined on a locally compact Lie group $G$, $g\in G$, where $\Omega(g)$ is suitable square-integrable representation of $G$, it is shown that taking the coordinates ($g$) on the affine group, we get a gauge theory that is finite by construction. The renormalization group in the constructed theory relates to each other the charges measured at different scales. The case of the $\mathcal{A}=SU(N)$ gauge group is considered.

1108.2677

Khalid Saifullah

Jamil Ahmed and K. Saifullah

Hawking radiation of Dirac particles from black strings

null

JCAP 08 (2011) 011

10.1088/1475-7516/2011/08/011

null

hep-th gr-qc math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Hawking radiation has been studied as a phenomenon of quantum tunneling in different black holes. In this paper we extend this semi-classical approach to cylindrically symmetric black holes. Using the Hamilton-Jacobi method and WKB approximation we calculate the tunneling probabilities of incoming and outgoing Dirac particles from the event horizon and find the Hawking temperature of these black holes. We obtain results both for uncharged as well as charged particles.

[ { "created": "Fri, 12 Aug 2011 18:09:31 GMT", "version": "v1" } ]

2015-05-30

[ [ "Ahmed", "Jamil", "" ], [ "Saifullah", "K.", "" ] ]

Hawking radiation has been studied as a phenomenon of quantum tunneling in different black holes. In this paper we extend this semi-classical approach to cylindrically symmetric black holes. Using the Hamilton-Jacobi method and WKB approximation we calculate the tunneling probabilities of incoming and outgoing Dirac particles from the event horizon and find the Hawking temperature of these black holes. We obtain results both for uncharged as well as charged particles.

1309.7578

Mike Hewitt

Michael Hewitt

Thermal duality and gravitational collapse in heterotic string theories

28 pages, 3 figures Revised estimate for the conversion time scale in this version

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The thermal duality of E(8) x E(8) and SO(32) heterotic string theories may underpin a mechanism that would convert the kinetic energy of infalling matter during gravitational collapse to form a region of a hot string phase that would expel gravitational gradients. This phase would be the continuation of a Ginzburg-Landau like superconductor in the Euclidean regime. In this scenario, there would be no event horizon or singularity produced in gravitational collapse. Solutions are presented for excitations of the string vacuum that may form during gravitational collapse and drive the transition to the hot phase. The proposed mechanism is developed here for the case of approximately spherical gravitational collapse in 4 uncompactified spacetime dimensions. A way to reconcile the large entropy apparently produced in this process with quantum mechanics is briefly discussed. In this scenario, astrophysical objects such as stellar or galactic cores which have undergone extreme gravitational collapse would currently be sites of an on-going conversion process to shells of this high temperature phase. The relationship of this proposal to the `firewall paradox' is noted.

[ { "created": "Sun, 29 Sep 2013 11:32:14 GMT", "version": "v1" }, { "created": "Fri, 4 Oct 2013 11:02:17 GMT", "version": "v2" }, { "created": "Mon, 10 Mar 2014 18:47:17 GMT", "version": "v3" }, { "created": "Tue, 9 Dec 2014 16:52:42 GMT", "version": "v4" }, { "created": "Sat, 4 Jul 2015 15:16:49 GMT", "version": "v5" } ]

2015-07-07

[ [ "Hewitt", "Michael", "" ] ]

The thermal duality of E(8) x E(8) and SO(32) heterotic string theories may underpin a mechanism that would convert the kinetic energy of infalling matter during gravitational collapse to form a region of a hot string phase that would expel gravitational gradients. This phase would be the continuation of a Ginzburg-Landau like superconductor in the Euclidean regime. In this scenario, there would be no event horizon or singularity produced in gravitational collapse. Solutions are presented for excitations of the string vacuum that may form during gravitational collapse and drive the transition to the hot phase. The proposed mechanism is developed here for the case of approximately spherical gravitational collapse in 4 uncompactified spacetime dimensions. A way to reconcile the large entropy apparently produced in this process with quantum mechanics is briefly discussed. In this scenario, astrophysical objects such as stellar or galactic cores which have undergone extreme gravitational collapse would currently be sites of an on-going conversion process to shells of this high temperature phase. The relationship of this proposal to the `firewall paradox' is noted.

hep-th/0302064

Valentin V. Khoze

George Georgiou and Valentin V. Khoze

BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave

32 pages, 13 figures

JHEP 0304 (2003) 015

10.1088/1126-6708/2003/04/015

null

hep-th

null

We calculate 3-point correlation functions of Delta-BMN operators with 3 scalar impurites in N=4 supersymmetric gauge theory. We use these results to test the pp-wave/SYM duality correspondence of the vertex--correlator type. This correspondence relates the coefficients of 3-point correlators of Delta-BMN operators in gauge theory to the 3-string vertex in lightcone string field theory in the pp-wave background. We verify the vertex--correlator duality equation of hep-th/0301036 at the 3 scalar impurites level for supergravity and for string modes.

[ { "created": "Mon, 10 Feb 2003 11:31:36 GMT", "version": "v1" } ]

2009-11-10

[ [ "Georgiou", "George", "" ], [ "Khoze", "Valentin V.", "" ] ]

We calculate 3-point correlation functions of Delta-BMN operators with 3 scalar impurites in N=4 supersymmetric gauge theory. We use these results to test the pp-wave/SYM duality correspondence of the vertex--correlator type. This correspondence relates the coefficients of 3-point correlators of Delta-BMN operators in gauge theory to the 3-string vertex in lightcone string field theory in the pp-wave background. We verify the vertex--correlator duality equation of hep-th/0301036 at the 3 scalar impurites level for supergravity and for string modes.

hep-th/9802051

Ashoke sen

Ashoke Sen

An Introduction to Non-perturbative String Theory

LaTeX file, 129 pages, 22 figures, Lectures given at Isaac Newton Institute and DAMTP, Cambridge, references added, typos corrected

null

MRI/PHY/P980235

hep-th gr-qc hep-ph

null

In this review I discuss some basic aspects of non-perturbative string theory. The topics include test of duality symmetries based on the analysis of the low energy effective action and the spectrum of BPS states, relationship between different duality symmetries, an introduction to M- and F-theories, black hole entropy in string theory, and Matrix theory.

[ { "created": "Mon, 9 Feb 1998 04:50:59 GMT", "version": "v1" }, { "created": "Sun, 15 Feb 1998 18:24:32 GMT", "version": "v2" } ]

2007-05-23

[ [ "Sen", "Ashoke", "" ] ]

In this review I discuss some basic aspects of non-perturbative string theory. The topics include test of duality symmetries based on the analysis of the low energy effective action and the spectrum of BPS states, relationship between different duality symmetries, an introduction to M- and F-theories, black hole entropy in string theory, and Matrix theory.

1912.09491

Ning Bao

Kartiek Agarwal and Ning Bao

A toy model for decoherence in the black hole information problem

6 pages + references, 2 figures, version to appear in PRD, included further justification for the model and additional arguments

Phys. Rev. D 102, 086017 (2020)

10.1103/PhysRevD.102.086017

null

hep-th cond-mat.stat-mech quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We investigate a plausible route to resolving the black hole information paradox by examining the effects of decoherence on Hawking radiation. In particular, we show that a finite but non-zero rate of decoherence can lead to efficient extraction of information from the evaporating black hole. This effectively pushes the paradox from becoming manifest at the Page time when the black hole has evaporated to half its size, to a timescale solely determined by the rate of decoherence. If this rate is due to a putative interaction with gravitons, the black hole at this timescale can be expected to be Planck-sized, but notably without an extensive amount of information packed inside. We justify our findings by numerically studying a toy model of stabilizer circuits that can efficiently model black hole evaporation in the presence of decoherence. The latter is found to be well described by an effective rate equation for the entanglement and which corroborates our findings.

[ { "created": "Thu, 19 Dec 2019 19:00:52 GMT", "version": "v1" }, { "created": "Thu, 24 Sep 2020 20:35:10 GMT", "version": "v2" } ]

2020-10-28

[ [ "Agarwal", "Kartiek", "" ], [ "Bao", "Ning", "" ] ]

We investigate a plausible route to resolving the black hole information paradox by examining the effects of decoherence on Hawking radiation. In particular, we show that a finite but non-zero rate of decoherence can lead to efficient extraction of information from the evaporating black hole. This effectively pushes the paradox from becoming manifest at the Page time when the black hole has evaporated to half its size, to a timescale solely determined by the rate of decoherence. If this rate is due to a putative interaction with gravitons, the black hole at this timescale can be expected to be Planck-sized, but notably without an extensive amount of information packed inside. We justify our findings by numerically studying a toy model of stabilizer circuits that can efficiently model black hole evaporation in the presence of decoherence. The latter is found to be well described by an effective rate equation for the entanglement and which corroborates our findings.

hep-th/0109149

Lubos Motl

Nonperturbative Formulations of Superstring Theory

PhD thesis, 156 pages, 4 figures, LaTeX, ruthesis macro

null

HEP-UK-0012

hep-th

null

After a short introduction to Matrix theory, we explain how can one generalize matrix models to describe toroidal compactifications of M-theory and the heterotic vacua with 16 supercharges. This allows us, for the first time in history, to derive the conventional perturbative type IIA string theory known in the 80s within a complete and consistent nonperturbative framework, using the language of orbifold conformal field theory and conformal perturbation methods. A separate chapter is dedicated to the vacua with Horava-Witten domain walls that carry E8 gauge supermultiplets. Those reduce the gauge symmetry of the matrix model from U(N) to O(N). We also explain why these models contain open membranes. The compactification of M-theory on T4 involves the so-called (2,0) superconformal field theory in six dimensions, compactified on T5. A separate chapter describes an interesting topological contribution to the low energy equations of motion on the Coulomb branch of the (2,0) theory that admits a skyrmionic solution that we call ``knitting fivebranes''. Then we return to the orbifolds of Matrix theory and construct a formal classical matrix model of the Scherk-Schwarz compactification of M-theory and type IIA string theory as well as type 0 theories. We show some disastrous consequences of the broken supersymmetry. Last two chapters describe a hyperbolic structure of the moduli spaces of one-dimensional M-theory.

[ { "created": "Wed, 19 Sep 2001 19:31:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "Motl", "Lubos", "" ] ]

After a short introduction to Matrix theory, we explain how can one generalize matrix models to describe toroidal compactifications of M-theory and the heterotic vacua with 16 supercharges. This allows us, for the first time in history, to derive the conventional perturbative type IIA string theory known in the 80s within a complete and consistent nonperturbative framework, using the language of orbifold conformal field theory and conformal perturbation methods. A separate chapter is dedicated to the vacua with Horava-Witten domain walls that carry E8 gauge supermultiplets. Those reduce the gauge symmetry of the matrix model from U(N) to O(N). We also explain why these models contain open membranes. The compactification of M-theory on T4 involves the so-called (2,0) superconformal field theory in six dimensions, compactified on T5. A separate chapter describes an interesting topological contribution to the low energy equations of motion on the Coulomb branch of the (2,0) theory that admits a skyrmionic solution that we call ``knitting fivebranes''. Then we return to the orbifolds of Matrix theory and construct a formal classical matrix model of the Scherk-Schwarz compactification of M-theory and type IIA string theory as well as type 0 theories. We show some disastrous consequences of the broken supersymmetry. Last two chapters describe a hyperbolic structure of the moduli spaces of one-dimensional M-theory.

hep-th/0012035

Marialuisa Frau

M. Frau, A. Liccardo and R. Musto

The Geometry of Fractional Branes

Latex file, 23 pages

Nucl.Phys. B602 (2001) 39-60

10.1016/S0550-3213(01)00107-9

DFTT 42/2000, DSF 35/2000

hep-th

null

By looking at fractional Dp-branes of type IIA on T_4/Z_2 as wrapped branes and by using boundary state techniques we construct the effective low-energy action for the fields generated by fractional branes, build their world-volume action and find the corresponding classical geometry. The explicit form of the classical background is consistent only outside an enhancon sphere of radius r_e, which encloses a naked singularity of repulson-type. The perturbative running of the gauge coupling constant, dictated by the NS-NS twisted field that keeps its one-loop expression at any distance, also fails at r_e.

[ { "created": "Tue, 5 Dec 2000 16:38:09 GMT", "version": "v1" }, { "created": "Fri, 22 Dec 2000 12:58:56 GMT", "version": "v2" } ]

2009-10-31

[ [ "Frau", "M.", "" ], [ "Liccardo", "A.", "" ], [ "Musto", "R.", "" ] ]

By looking at fractional Dp-branes of type IIA on T_4/Z_2 as wrapped branes and by using boundary state techniques we construct the effective low-energy action for the fields generated by fractional branes, build their world-volume action and find the corresponding classical geometry. The explicit form of the classical background is consistent only outside an enhancon sphere of radius r_e, which encloses a naked singularity of repulson-type. The perturbative running of the gauge coupling constant, dictated by the NS-NS twisted field that keeps its one-loop expression at any distance, also fails at r_e.

0909.0250

David Skinner

Lionel Mason and David Skinner

Dual Superconformal Invariance, Momentum Twistors and Grassmannians

1+36 pages, 7 figures. Minor typos corrected

JHEP 0911:045,2009

10.1088/1126-6708/2009/11/045

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in N=4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudes in terms of `momentum twistors', as opposed to the usual twistors that make the ordinary superconformal properties manifest. The relation between momentum twistors and on-shell momenta is algebraic, so the translation procedure does not rely on any choice of space-time signature. We show that tree amplitudes and box coefficients are succinctly generated by integration of holomorphic delta-functions in momentum twistors over cycles in a Grassmannian. This is analogous to, although distinct from, recent results obtained by Arkani-Hamed et al. in ordinary twistor space. We also make contact with Hodges' polyhedral representation of NMHV amplitudes in momentum twistor space.

[ { "created": "Tue, 1 Sep 2009 19:24:34 GMT", "version": "v1" }, { "created": "Mon, 26 Oct 2009 17:05:01 GMT", "version": "v2" } ]

2009-11-18

[ [ "Mason", "Lionel", "" ], [ "Skinner", "David", "" ] ]

Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in N=4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudes in terms of `momentum twistors', as opposed to the usual twistors that make the ordinary superconformal properties manifest. The relation between momentum twistors and on-shell momenta is algebraic, so the translation procedure does not rely on any choice of space-time signature. We show that tree amplitudes and box coefficients are succinctly generated by integration of holomorphic delta-functions in momentum twistors over cycles in a Grassmannian. This is analogous to, although distinct from, recent results obtained by Arkani-Hamed et al. in ordinary twistor space. We also make contact with Hodges' polyhedral representation of NMHV amplitudes in momentum twistor space.

0810.5001

Ivonne Zavala

A. Avgoustidis, I. Zavala

Warped Wilson Line DBI Inflation

v3: Typos corrected, Published in JCAP; 21 pages

JCAP 0901:045,2009

10.1088/1475-7516/2009/01/045

UB-ECM-PF/08/18, IPPP/08/60, DCPT/08/120

hep-th astro-ph hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We propose a novel inflationary scenario in string theory in which the inflaton field is a 'Wilson line' degree of freedom in the worldvolume of a probe Dp-brane, in a warped flux compactification. Kinetic terms for Wilson line fields on the world volume of a D-brane take a nonstandard Dirac-Born-Infeld (DBI) form. Thus, we work in the framework of DBI inflation. This extends the original slow roll Wilson line inflationary scenario, where only the quadratic piece was considered. Warped DBI Wilson line inflation offers an attractive alternative to ordinary (position field) DBI inflation, inasmuch as observational and theoretical constraints get considerably relaxed. Besides the standard large non-Gaussianities in DBI scenarios, it is also possible to achieve an observable amount of gravitational waves.

[ { "created": "Tue, 28 Oct 2008 10:28:32 GMT", "version": "v1" }, { "created": "Thu, 6 Nov 2008 14:29:44 GMT", "version": "v2" }, { "created": "Mon, 2 Feb 2009 10:31:11 GMT", "version": "v3" } ]

2009-02-09

[ [ "Avgoustidis", "A.", "" ], [ "Zavala", "I.", "" ] ]

We propose a novel inflationary scenario in string theory in which the inflaton field is a 'Wilson line' degree of freedom in the worldvolume of a probe Dp-brane, in a warped flux compactification. Kinetic terms for Wilson line fields on the world volume of a D-brane take a nonstandard Dirac-Born-Infeld (DBI) form. Thus, we work in the framework of DBI inflation. This extends the original slow roll Wilson line inflationary scenario, where only the quadratic piece was considered. Warped DBI Wilson line inflation offers an attractive alternative to ordinary (position field) DBI inflation, inasmuch as observational and theoretical constraints get considerably relaxed. Besides the standard large non-Gaussianities in DBI scenarios, it is also possible to achieve an observable amount of gravitational waves.

hep-th/0401137

Kentaro Hori

Ilka Brunner, Kentaro Hori, Kazuo Hosomichi and Johannes Walcher

Orientifolds of Gepner Models

142 pages

JHEP 0702:001,2007

10.1088/1126-6708/2007/02/001

CERN-PH-TH/2004-006, KCL-MTH-04-01, NSF-KITP-04-01

hep-th

null

We systematically construct and study Type II Orientifolds based on Gepner models which have N=1 supersymmetry in 3+1 dimensions. We classify the parity symmetries and construct the crosscap states. We write down the conditions that a configuration of rational branes must satisfy for consistency (tadpole cancellation and rank constraints) and spacetime supersymmetry. For certain cases, including Type IIB orientifolds of the quintic and a two parameter model, one can find all solutions in this class. Depending on the parity, the number of vacua can be large, of the order of 10^{10}-10^{13}. For other models, it is hard to find all solutions but special solutions can be found -- some of them are chiral. We also make comparison with the large volume regime and obtain a perfect match. Through this study, we find a number of new features of Type II orientifolds, including the structure of moduli space and the change in the type of O-planes under navigation through non-geometric phases.

[ { "created": "Tue, 20 Jan 2004 19:33:22 GMT", "version": "v1" } ]

2010-02-03

[ [ "Brunner", "Ilka", "" ], [ "Hori", "Kentaro", "" ], [ "Hosomichi", "Kazuo", "" ], [ "Walcher", "Johannes", "" ] ]

We systematically construct and study Type II Orientifolds based on Gepner models which have N=1 supersymmetry in 3+1 dimensions. We classify the parity symmetries and construct the crosscap states. We write down the conditions that a configuration of rational branes must satisfy for consistency (tadpole cancellation and rank constraints) and spacetime supersymmetry. For certain cases, including Type IIB orientifolds of the quintic and a two parameter model, one can find all solutions in this class. Depending on the parity, the number of vacua can be large, of the order of 10^{10}-10^{13}. For other models, it is hard to find all solutions but special solutions can be found -- some of them are chiral. We also make comparison with the large volume regime and obtain a perfect match. Through this study, we find a number of new features of Type II orientifolds, including the structure of moduli space and the change in the type of O-planes under navigation through non-geometric phases.

0712.1410

Andrea Quadri

Daniele Bettinelli, Ruggero Ferrari, Andrea Quadri (Milan U. and INFN, Milan)

Gauge Dependence in the Nonlinearly Realized Massive SU(2) Gauge Theory

5 pages. Prepared for AGMF2007 - Algebra, Geometry, and Mathematical Physics Baltic-Nordic Workshop, Goeteborg, 11-13 October, 2007

J.General.Lie Theor.Appl.2:122-126,2008

null

IFUM-908-FT

hep-th

null

The implementation of the 't Hooft alpha-gauge in the symmetrically subtracted massive gauge theory based on the nonlinearly realized SU(2) gauge group is discussed. The gauge independence of the self-mass of the gauge bosons is proven by cohomological techniques.

[ { "created": "Mon, 10 Dec 2007 08:53:50 GMT", "version": "v1" } ]

2009-02-24

[ [ "Bettinelli", "Daniele", "", "Milan U. and INFN,\n Milan" ], [ "Ferrari", "Ruggero", "", "Milan U. and INFN,\n Milan" ], [ "Quadri", "Andrea", "", "Milan U. and INFN,\n Milan" ] ]

The implementation of the 't Hooft alpha-gauge in the symmetrically subtracted massive gauge theory based on the nonlinearly realized SU(2) gauge group is discussed. The gauge independence of the self-mass of the gauge bosons is proven by cohomological techniques.

1410.2692

Chi Tian

Xiuming Zhang, Chi Tian

Effect of the Minimal Length on Bose-Einstein Condensation in the Relativistic Ideal Bose Gas

null

2015 Chinese Phys. Lett. 32 010303

10.1088/0256-307X/32/1/010303

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Based on the generalized uncertainty principle (GUP), the critical temperature and the Helmholtz free energy of Bose-Einstein condensation (BEC) in the relativistic ideal Bose gas are investigated. At the non-relativistic limit and the ultra-relativistic limit, we calculate the analytical form of the shifts of the critical temperature and the Helmholtz free energy caused by weak quantum gravitational effects. The exact numerical results of these shifts are obtained. Quantum gravity effects lift the critical temperature of BEC. By measuring the shift of the critical temperature, we can constrain the deformation parameter $\beta_0$. Furthermore, at lower densities, omitting quantum gravitational effects may lead to a metastable state while at sufficiently high densities, quantum gravitational effects tend to make BEC unstable. Using the numerical methods, the stable-unstable transition temperature is found.

[ { "created": "Fri, 10 Oct 2014 07:20:10 GMT", "version": "v1" } ]

2015-01-16

[ [ "Zhang", "Xiuming", "" ], [ "Tian", "Chi", "" ] ]

Based on the generalized uncertainty principle (GUP), the critical temperature and the Helmholtz free energy of Bose-Einstein condensation (BEC) in the relativistic ideal Bose gas are investigated. At the non-relativistic limit and the ultra-relativistic limit, we calculate the analytical form of the shifts of the critical temperature and the Helmholtz free energy caused by weak quantum gravitational effects. The exact numerical results of these shifts are obtained. Quantum gravity effects lift the critical temperature of BEC. By measuring the shift of the critical temperature, we can constrain the deformation parameter $\beta_0$. Furthermore, at lower densities, omitting quantum gravitational effects may lead to a metastable state while at sufficiently high densities, quantum gravitational effects tend to make BEC unstable. Using the numerical methods, the stable-unstable transition temperature is found.

hep-th/9712258

Joerg Teschner

J. Teschner

The Mini-Superspace Limit of the SL(2,C)/SU(2)-WZNW Model

17 pages, AMS-LATEX2e, minor corrections

Nucl.Phys. B546 (1999) 369-389

10.1016/S0550-3213(99)00071-1

LPM 97/02

hep-th

null

Many qualitatively new features of WZNW models associated to noncompact cosets are due to zero modes with continuous spectrum. Insight may be gained by reducing the theory to its zero-mode sector, the mini-superspace limit. This will be discussed in some detail for the example of SL(2,C)/SU(2)-WZNW model. The mini-superspace limit of this model can be formulated as baby-CFT. Spectrum, structure constants and fusion rules as well as factorization of four point functions are obtained from the harmonic analysis on SL(2,C)/SU(2). The issues of operator-state correspondence or the appearance of non-normalizable intermediate states in correlation functions can be discussed transparently in this context.

[ { "created": "Wed, 31 Dec 1997 16:54:36 GMT", "version": "v1" }, { "created": "Sat, 27 Jun 1998 14:11:51 GMT", "version": "v2" } ]

2009-10-30

[ [ "Teschner", "J.", "" ] ]

Many qualitatively new features of WZNW models associated to noncompact cosets are due to zero modes with continuous spectrum. Insight may be gained by reducing the theory to its zero-mode sector, the mini-superspace limit. This will be discussed in some detail for the example of SL(2,C)/SU(2)-WZNW model. The mini-superspace limit of this model can be formulated as baby-CFT. Spectrum, structure constants and fusion rules as well as factorization of four point functions are obtained from the harmonic analysis on SL(2,C)/SU(2). The issues of operator-state correspondence or the appearance of non-normalizable intermediate states in correlation functions can be discussed transparently in this context.

0901.4390

Yong-Wan Kim

Yong-Wan Kim, Yun Soo Myung, Young-Jai Park

Nonpropagation of massive mode on AdS2 in topologically massive gravity

19 pages, version to appear in EPJC

Eur.Phys.J.C67:533-541,2010

10.1140/epjc/s10052-010-1333-3

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Making use of Achucarro-Ortiz (AO) type of dimensional reduction, we study the topologically massive gravity with a negative cosmological constant on AdS2 spacetimes. For a constant dilaton, this two-dimensional model also admits three AdS2 vacuum solutions, which are related to two AdS3 and warped AdS3 backgrounds with an identification upon uplifting three dimensions. We carry out the perturbation analysis around these backgrounds to find what is a physically propagating field. However, it turns out that there is no propagating massive mode on AdS2 background, in contrast to the Kaluza-Klein (KK) type of dimensional reduction. We note that two dimensionally reduced actions are different and thus, the non-equivalence of their on-shell amplitudes is obtained.

[ { "created": "Wed, 28 Jan 2009 02:03:12 GMT", "version": "v1" }, { "created": "Fri, 5 Jun 2009 05:52:52 GMT", "version": "v2" }, { "created": "Fri, 18 Sep 2009 07:21:10 GMT", "version": "v3" }, { "created": "Fri, 23 Apr 2010 04:26:56 GMT", "version": "v4" } ]

2014-11-18

[ [ "Kim", "Yong-Wan", "" ], [ "Myung", "Yun Soo", "" ], [ "Park", "Young-Jai", "" ] ]

Making use of Achucarro-Ortiz (AO) type of dimensional reduction, we study the topologically massive gravity with a negative cosmological constant on AdS2 spacetimes. For a constant dilaton, this two-dimensional model also admits three AdS2 vacuum solutions, which are related to two AdS3 and warped AdS3 backgrounds with an identification upon uplifting three dimensions. We carry out the perturbation analysis around these backgrounds to find what is a physically propagating field. However, it turns out that there is no propagating massive mode on AdS2 background, in contrast to the Kaluza-Klein (KK) type of dimensional reduction. We note that two dimensionally reduced actions are different and thus, the non-equivalence of their on-shell amplitudes is obtained.

2401.01610

Vladimir Dzhunushaliev

Vladimir Dzhunushaliev, Vladimir Folomeev, Jutta Kunz and Yakov Shnir

Fermion states localized on a self-gravitating Skyrmion

6 pages, 5 figures

null

hep-th hep-ph

http://creativecommons.org/publicdomain/zero/1.0/

We investigate self-gravitating solutions of the Einstein-Skyrme theory coupled to spin-isospin Dirac fermions and consider the dependence of the spectral flow on the effective gravitational coupling constant and on the Yukawa coupling. It is shown that the effects of the backreaction of the fermionic mode may strongly deform the configuration. Depending on the choice of parameters, solutions with positive, negative and zero ADM mass may arise. The occurrence of regular anti-gravitating asymptotically flat solutions with negative ADM mass is caused by the violation of the energy conditions.

[ { "created": "Wed, 3 Jan 2024 08:26:27 GMT", "version": "v1" }, { "created": "Tue, 25 Jun 2024 09:37:39 GMT", "version": "v2" } ]

2024-06-26

[ [ "Dzhunushaliev", "Vladimir", "" ], [ "Folomeev", "Vladimir", "" ], [ "Kunz", "Jutta", "" ], [ "Shnir", "Yakov", "" ] ]

We investigate self-gravitating solutions of the Einstein-Skyrme theory coupled to spin-isospin Dirac fermions and consider the dependence of the spectral flow on the effective gravitational coupling constant and on the Yukawa coupling. It is shown that the effects of the backreaction of the fermionic mode may strongly deform the configuration. Depending on the choice of parameters, solutions with positive, negative and zero ADM mass may arise. The occurrence of regular anti-gravitating asymptotically flat solutions with negative ADM mass is caused by the violation of the energy conditions.

hep-th/9309048

null

J.Gomis, J.Herrero, K.Kamimura and J.Roca

Particle Mechanics Models with W-symmetries

34 pages, LaTeX, no figures. Several changes (including Title) and new material added. Version to appear in Ann. Phys

Annals Phys. 244 (1995) 67-100

10.1006/aphy.1995.1107

UB-ECM-PF 93/18, TOHO-FP-9449

hep-th

null

We introduce a particle mechanics model with Sp($2M$) gauge invariance. Different partial gauge-fixings by means of sl(2) embeddings on the gauge algebra lead to reduced models which are invariant under diffeomorphisms and classical non-linear \W-transformations as the residual gauge symmetries thus providing a set of models of gauge and matter fields coupled in a \W-invariant way. The equations of motion for the matter variables give Lax operators in a matrix form. We examine several examples in detail and discuss the issue of integration of infinitesimal \W-transformations.

[ { "created": "Thu, 9 Sep 1993 11:19:47 GMT", "version": "v1" }, { "created": "Wed, 26 Apr 1995 20:15:49 GMT", "version": "v2" } ]

2009-10-22

[ [ "Gomis", "J.", "" ], [ "Herrero", "J.", "" ], [ "Kamimura", "K.", "" ], [ "Roca", "J.", "" ] ]

We introduce a particle mechanics model with Sp($2M$) gauge invariance. Different partial gauge-fixings by means of sl(2) embeddings on the gauge algebra lead to reduced models which are invariant under diffeomorphisms and classical non-linear \W-transformations as the residual gauge symmetries thus providing a set of models of gauge and matter fields coupled in a \W-invariant way. The equations of motion for the matter variables give Lax operators in a matrix form. We examine several examples in detail and discuss the issue of integration of infinitesimal \W-transformations.

1401.4583

Filipe de O. Salles

Filipe de O. Salles and Ilya L. Shapiro

Do we have unitary and (super)renormalizable Quantum Gravity below Planck scale?

Original paper published in PRD. The last page is Erratum correcting interpretation of instability in the main manuscript

Phys. Rev. D 89, 084054 (2014)

10.1103/PhysRevD.89.084054

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We explore how the stability of metric perturbations in higher derivative theories of gravity depends on the energy scale of initial seeds of such perturbations and on a typical energy scale of the gravitational vacuum background. It is shown that, at least in the cases of specific cosmological backgrounds, that the unphysical massive ghost which is present in the spectrum of such theories is not growing up as a physical excitation and remains in the vacuum state, until the initial frequency of the perturbation is close to the Planck order of magnitude. In this situation the existing versions of renormalizable and superrenormalizable theories can be seen as very satisfactory effective theories of Quantum Gravity below the Planck scale.

[ { "created": "Sat, 18 Jan 2014 20:03:49 GMT", "version": "v1" }, { "created": "Wed, 17 Dec 2014 23:22:28 GMT", "version": "v2" } ]

2014-12-19

[ [ "Salles", "Filipe de O.", "" ], [ "Shapiro", "Ilya L.", "" ] ]

We explore how the stability of metric perturbations in higher derivative theories of gravity depends on the energy scale of initial seeds of such perturbations and on a typical energy scale of the gravitational vacuum background. It is shown that, at least in the cases of specific cosmological backgrounds, that the unphysical massive ghost which is present in the spectrum of such theories is not growing up as a physical excitation and remains in the vacuum state, until the initial frequency of the perturbation is close to the Planck order of magnitude. In this situation the existing versions of renormalizable and superrenormalizable theories can be seen as very satisfactory effective theories of Quantum Gravity below the Planck scale.

hep-th/0003279

Xiang-Song Chen

Wei-Min Sun, Xiang-Song Chen and Fan Wang

Some Problems in Defining Functional Integration over the Gauge Group

2 pages revtex, no figure

null

hep-th

null

We find that sometimes the usual definition of functional integration over the gauge group through limiting process may have internal difficulties.

[ { "created": "Thu, 30 Mar 2000 12:17:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sun", "Wei-Min", "" ], [ "Chen", "Xiang-Song", "" ], [ "Wang", "Fan", "" ] ]

We find that sometimes the usual definition of functional integration over the gauge group through limiting process may have internal difficulties.

hep-th/0207141

Conor Houghton

Conor J. Houghton and Erick J. Weinberg

Multicloud solutions with massless and massive monopoles

58 pages, 5 figures

Phys.Rev. D66 (2002) 125002

10.1103/PhysRevD.66.125002

CU-TP-1062

hep-th

null

Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding of these clouds, we study BPS solutions with four massive and six massless monopoles in an SU(6) gauge theory. We develop an algebraic procedure, based on the Nahm construction, that relates these solutions to previously known examples. Explicit implementation of this procedure for a number of limiting cases reveals that the six massless monopoles condense into four distinct clouds, of two different types. By analyzing these limiting solutions, we clarify the correspondence between clouds and massless monopoles, and infer a set of rules that describe the conditions under which a finite size cloud can be formed. Finally, we identify the parameters entering the general solution and describe their physical significance.

[ { "created": "Mon, 15 Jul 2002 16:34:57 GMT", "version": "v1" } ]

2009-11-07

[ [ "Houghton", "Conor J.", "" ], [ "Weinberg", "Erick J.", "" ] ]

Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding of these clouds, we study BPS solutions with four massive and six massless monopoles in an SU(6) gauge theory. We develop an algebraic procedure, based on the Nahm construction, that relates these solutions to previously known examples. Explicit implementation of this procedure for a number of limiting cases reveals that the six massless monopoles condense into four distinct clouds, of two different types. By analyzing these limiting solutions, we clarify the correspondence between clouds and massless monopoles, and infer a set of rules that describe the conditions under which a finite size cloud can be formed. Finally, we identify the parameters entering the general solution and describe their physical significance.

1504.00663

Andrei Linde

Single-field $\alpha$-attractors

3 pages

null

10.1088/1475-7516/2015/05/003

null

hep-th astro-ph.CO gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

I describe a simple class of $\alpha$-attractors, generalizing the single-field GL model of inflation in supergravity. The new class of models is defined for $0<\alpha \lesssim 1$, providing a good match to the present cosmological data. I also present a generalized version of these models which can describe not only inflation but also dark energy and supersymmetry breaking.

[ { "created": "Thu, 2 Apr 2015 19:46:17 GMT", "version": "v1" } ]

2015-05-20

[ [ "Linde", "Andrei", "" ] ]

I describe a simple class of $\alpha$-attractors, generalizing the single-field GL model of inflation in supergravity. The new class of models is defined for $0<\alpha \lesssim 1$, providing a good match to the present cosmological data. I also present a generalized version of these models which can describe not only inflation but also dark energy and supersymmetry breaking.

2310.08124

Keiju Murata Dr

Takaaki Ishii, Keiju Murata, Kentaroh Yoshida

Boundary driven turbulence on string worldsheet

34 pages, 9 figures

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the origin of turbulence on the string worldsheet with boundaries laid in anti de Sitter (AdS) spacetime. While the classical motion of a single closed string in AdS is integrable, it has recently been recognized that weak turbulence arises in the case of an open string suspended from the AdS boundary. In the open string case, it is necessary to impose boundary conditions on the worldsheet boundaries. We classify which boundary conditions preserve integrability. Based on this classification, we anticipate that turbulence may occur on the string worldsheet if integrability is not guaranteed by the boundary conditions. Numerical investigations of the classical open-string dynamics support that turbulence occurs when the boundary conditions are not integrable.

[ { "created": "Thu, 12 Oct 2023 08:28:41 GMT", "version": "v1" } ]

2023-10-13

[ [ "Ishii", "Takaaki", "" ], [ "Murata", "Keiju", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We study the origin of turbulence on the string worldsheet with boundaries laid in anti de Sitter (AdS) spacetime. While the classical motion of a single closed string in AdS is integrable, it has recently been recognized that weak turbulence arises in the case of an open string suspended from the AdS boundary. In the open string case, it is necessary to impose boundary conditions on the worldsheet boundaries. We classify which boundary conditions preserve integrability. Based on this classification, we anticipate that turbulence may occur on the string worldsheet if integrability is not guaranteed by the boundary conditions. Numerical investigations of the classical open-string dynamics support that turbulence occurs when the boundary conditions are not integrable.

hep-th/9410198

null

Luis J. Boya and E.C.G. Sudarshan

Point Interactions from Flux Conservation

7 pages, Latex, CPP-94-28

Int. J. Theor. Phys. 35 (1996) 1063

null

hep-th

null

We show that the physical requirement of flux conservation can substitute for the usual matching conditions in point interactions. The study covers an arbitrary superposition of $\delta$ and $\delta'$ potentials on the real line and can be easily applied to higher dimensions. Our procedure can be seen as a physical interpretation of the deficiency index of some symmetric, but not self-adjoint operators.

[ { "created": "Wed, 26 Oct 1994 15:55:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Boya", "Luis J.", "" ], [ "Sudarshan", "E. C. G.", "" ] ]

We show that the physical requirement of flux conservation can substitute for the usual matching conditions in point interactions. The study covers an arbitrary superposition of $\delta$ and $\delta'$ potentials on the real line and can be easily applied to higher dimensions. Our procedure can be seen as a physical interpretation of the deficiency index of some symmetric, but not self-adjoint operators.

1307.4890

Debashis Ghoshal

Debashis Ghoshal and Preeda Patcharamaneepakorn

Travelling Front of a Decaying Brane in String Field Theory

16 pages, 6 figures

JHEP 03 (2014) 015

10.1007/JHEP03(2014)015

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider the inhomogeneous decay of an unstable D-brane of bosonic string theory in a linear dilaton background in a light-cone frame. At the lowest level, the dynamical equation that describes this process is a generalisation (that includes nonlocality and time delay) of a reaction-diffusion equation studied by Fisher (and others). We argue that the equation of motion of the cubic open string field theory is satisfied at least to the second order when we start with this `Fisher deformation', a marginal operator which has a simple pole term in its OPE. We also compute the one-point functions of closed string operators on the disc in the presence of this deformation.

[ { "created": "Thu, 18 Jul 2013 10:06:28 GMT", "version": "v1" } ]

2015-03-31

[ [ "Ghoshal", "Debashis", "" ], [ "Patcharamaneepakorn", "Preeda", "" ] ]

We consider the inhomogeneous decay of an unstable D-brane of bosonic string theory in a linear dilaton background in a light-cone frame. At the lowest level, the dynamical equation that describes this process is a generalisation (that includes nonlocality and time delay) of a reaction-diffusion equation studied by Fisher (and others). We argue that the equation of motion of the cubic open string field theory is satisfied at least to the second order when we start with this `Fisher deformation', a marginal operator which has a simple pole term in its OPE. We also compute the one-point functions of closed string operators on the disc in the presence of this deformation.

hep-th/9603165

Phil Gibbs

Phil E. Gibbs

Is the Universe Uniquely Determined by Invariance Under Quantisation?

11 pages, uuencoded gzip'ed postscript file

null

PEG-09-96

hep-th

null

In this sequel to my previous paper, "Is String Theory in Knots?" I explore ways of constructing symmetries through an algebraic stepping process using knotted graphs. The hope is that this may lead to an algebraic formulation of string theory. In the conclusion I speculate that the stepping process is a form of quantisation for which the most general form must be sought. By applying the quantisation step a sufficient number (possibly infinite) of times we may construct an algebra which is equivalent to its own quantisation.

[ { "created": "Mon, 25 Mar 1996 10:08:28 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gibbs", "Phil E.", "" ] ]

In this sequel to my previous paper, "Is String Theory in Knots?" I explore ways of constructing symmetries through an algebraic stepping process using knotted graphs. The hope is that this may lead to an algebraic formulation of string theory. In the conclusion I speculate that the stepping process is a form of quantisation for which the most general form must be sought. By applying the quantisation step a sufficient number (possibly infinite) of times we may construct an algebra which is equivalent to its own quantisation.

1410.6181

Hong Lu

Hai-Shan Liu and H. Lu

Thermodynamics of Lifshitz Black Holes

27 pages

null

10.1007/JHEP12(2014)071

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We specialize the Wald formalism to derive the thermodynamical first law for static black holes with spherical/torus/hyperbolic symmetries in a variety of supergravities or supergravity-inspired theories involving multiple scalars and vectors. We apply the formula to study the first law of a general class of Lifshitz black holes. We analyse the first law of three exact Lifshitz black holes and the results fit the general pattern. In one example, the first law is $TdS + \Phi dQ=0$ where $(\Phi,Q)$ are the electric potential and charge of the Maxwell field. The unusual vanishing of mass in this specific solution demonstrates that super-extremal charged black holes can exist in asymptotic Lifshitz spacetimes.

[ { "created": "Wed, 22 Oct 2014 20:26:11 GMT", "version": "v1" } ]

2015-06-23

[ [ "Liu", "Hai-Shan", "" ], [ "Lu", "H.", "" ] ]

We specialize the Wald formalism to derive the thermodynamical first law for static black holes with spherical/torus/hyperbolic symmetries in a variety of supergravities or supergravity-inspired theories involving multiple scalars and vectors. We apply the formula to study the first law of a general class of Lifshitz black holes. We analyse the first law of three exact Lifshitz black holes and the results fit the general pattern. In one example, the first law is $TdS + \Phi dQ=0$ where $(\Phi,Q)$ are the electric potential and charge of the Maxwell field. The unusual vanishing of mass in this specific solution demonstrates that super-extremal charged black holes can exist in asymptotic Lifshitz spacetimes.

hep-th/0406003

Martin B. Halpern

M.B. Halpern and C. Helfgott

The General Twisted Open WZW String

74 pages, typos corrected

Int.J.Mod.Phys.A20:923-992,2005

10.1142/S0217751X05020628

null

hep-th math-ph math.MP math.QA

null

We recently studied two large but disjoint classes of twisted open WZW strings: the open-string sectors of the WZW orientation orbifolds and the so-called basic class of twisted open WZW strings. In this paper, we discuss {\it all T-dualizations} of the basic class to construct the {\it general} twisted open WZW string -- which includes the disjoint classes above as special cases. For the general case, we give the {\it branes} and {\it twisted non-commutative geometry} at the classical level and the {\it twisted open-string KZ equations} at the operator level. Many examples of the general construction are discussed, including in particular the simple case of twisted free-bosonic open strings. We also revisit the open-string sectors of the general WZW orientation orbifold in further detail. For completeness, we finally review the {\it general twisted boundary state equation} which provides a complementary description of the general twisted open WZW string.

[ { "created": "Tue, 1 Jun 2004 02:02:34 GMT", "version": "v1" }, { "created": "Tue, 26 Oct 2004 06:17:53 GMT", "version": "v2" } ]

2014-11-18

[ [ "Halpern", "M. B.", "" ], [ "Helfgott", "C.", "" ] ]

We recently studied two large but disjoint classes of twisted open WZW strings: the open-string sectors of the WZW orientation orbifolds and the so-called basic class of twisted open WZW strings. In this paper, we discuss {\it all T-dualizations} of the basic class to construct the {\it general} twisted open WZW string -- which includes the disjoint classes above as special cases. For the general case, we give the {\it branes} and {\it twisted non-commutative geometry} at the classical level and the {\it twisted open-string KZ equations} at the operator level. Many examples of the general construction are discussed, including in particular the simple case of twisted free-bosonic open strings. We also revisit the open-string sectors of the general WZW orientation orbifold in further detail. For completeness, we finally review the {\it general twisted boundary state equation} which provides a complementary description of the general twisted open WZW string.

2008.10049

Hao Xu

Meng-Shi Hou, Hao Xu, Yen Chin Ong

Hawking Evaporation of Black Holes in Massive Gravity

22 pages

null

10.1140/epjc/s10052-020-08678-1

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the Hawking evaporation of a class of black hole solutions in dRGT massive gravity, in which the graviton mass gives rise to an effective negative cosmological constant. We found that the effective emission surface can be either proportional to the square of the effective AdS length scale, or corresponds to the square of the impact parameter of the null geodesic that falls onto the photon orbit of the black hole. Furthermore, depending on the black hole parameters, the emission surface could switch from one to another as the black hole loses mass during the evaporation process. Furthermore, the black holes can either evaporate completely or become a remnant at late time. Our result is more generally applicable to any asymptotically anti-de Sitter-like black hole solution in any theory whose metric function has a term linear in the coordinate radius, with massive gravity being only a concrete example.

[ { "created": "Sun, 23 Aug 2020 14:26:38 GMT", "version": "v1" } ]

2020-12-30

[ [ "Hou", "Meng-Shi", "" ], [ "Xu", "Hao", "" ], [ "Ong", "Yen Chin", "" ] ]

We study the Hawking evaporation of a class of black hole solutions in dRGT massive gravity, in which the graviton mass gives rise to an effective negative cosmological constant. We found that the effective emission surface can be either proportional to the square of the effective AdS length scale, or corresponds to the square of the impact parameter of the null geodesic that falls onto the photon orbit of the black hole. Furthermore, depending on the black hole parameters, the emission surface could switch from one to another as the black hole loses mass during the evaporation process. Furthermore, the black holes can either evaporate completely or become a remnant at late time. Our result is more generally applicable to any asymptotically anti-de Sitter-like black hole solution in any theory whose metric function has a term linear in the coordinate radius, with massive gravity being only a concrete example.

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