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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2205.00227
|
Jian-Pin Wu
|
Yi-Lin Li, Xi-Jing Wang, Guoyang Fu, Jian-Pin Wu
|
Transport properties of a $3$-dimensional holographic effective theory
with gauge-axion coupling
|
19 pages, 8 figures, accepted by Physics Letters B
|
Phys.Lett.B 829 (2022) 137124
|
10.1016/j.physletb.2022.137124
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we implement a $3$-dimensional holographic effective theory
with gauge-axion coupling. The analytical black hole solution is worked out. We
investigate the Direct current (DC) thermoelectric conductivities. A novel
property is that DC electric conductivity for vanishing gauge-axion coupling is
temperature dependent. It is different from that of $4$-dimensional axion model
whose DC electric conductivity is temperature independent. In addition, the
gauge-axion coupling induces a metal insulator transition (MIT) at zero
temperature. The properties of other DC thermoelectric conductivities are also
discussed. Moreover we find that the Wiedemann-Franz (WF) law is violated in
our model.
|
[
{
"created": "Sat, 30 Apr 2022 10:26:16 GMT",
"version": "v1"
}
] |
2022-05-05
|
[
[
"Li",
"Yi-Lin",
""
],
[
"Wang",
"Xi-Jing",
""
],
[
"Fu",
"Guoyang",
""
],
[
"Wu",
"Jian-Pin",
""
]
] |
In this paper, we implement a $3$-dimensional holographic effective theory with gauge-axion coupling. The analytical black hole solution is worked out. We investigate the Direct current (DC) thermoelectric conductivities. A novel property is that DC electric conductivity for vanishing gauge-axion coupling is temperature dependent. It is different from that of $4$-dimensional axion model whose DC electric conductivity is temperature independent. In addition, the gauge-axion coupling induces a metal insulator transition (MIT) at zero temperature. The properties of other DC thermoelectric conductivities are also discussed. Moreover we find that the Wiedemann-Franz (WF) law is violated in our model.
| 7.985485 | 6.611684 | 8.45079 | 6.394026 | 6.516464 | 6.949633 | 6.90219 | 6.894362 | 6.894431 | 8.031379 | 6.426985 | 6.963815 | 7.152097 | 6.89395 | 6.928678 | 6.800877 | 6.848506 | 6.807816 | 6.854086 | 7.35855 | 6.744319 |
hep-th/0703286
|
James Ettle
|
James H. Ettle (1), Chih-Hao Fu (2), Jonathan P. Fudger (1), Paul R.
W. Mansfield (2), Tim R. Morris (1) ((1) School of Physics and Astronomy,
University of Southampton, UK (2) Department of Mathematical Sciences,
University of Durham, UK)
|
S-Matrix Equivalence Theorem Evasion and Dimensional Regularisation with
the Canonical MHV Lagrangian
|
32 pages, 9 figures. v2: corrects typos and Fig. 8; adds further
citations and acknowledgements
|
JHEP 0705:011,2007
|
10.1088/1126-6708/2007/05/011
|
SHEP 07-09
|
hep-th hep-ph
| null |
We demonstrate that the canonical change of variables that yields the MHV
lagrangian, also provides contributions to scattering amplitudes that evade the
equivalence theorem. This `ET evasion' in particular provides the tree-level
(-++) amplitude, which is non-vanishing off shell, or on shell with complex
momenta or in (2,2) signature, and is missing from the MHV (aka CSW) rules. At
one loop there are ET-evading diagrammatic contributions to the amplitudes with
all positive helicities. We supply the necessary regularisation in order to
define these contributions (and quantum MHV methods in general) by starting
from the light-cone Yang-Mills lagrangian in D dimensions and making a
canonical change of variables for all D-2 transverse degrees of freedom of the
gauge field. In this way, we obtain dimensionally regularised three- and
four-point MHV amplitudes. Returning to the one-loop (++++) amplitude, we
demonstrate that its quadruple cut coincides with the known result, and show
how the original light-cone Yang-Mills contributions can in fact be
algebraically recovered from the ET-evading contributions. We conclude that the
canonical MHV lagrangian, supplemented with the extra terms brought to
correlation functions by the non-linear field transformation, provide
contributions which are just a rearrangement of those from light-cone
Yang-Mills and thus coincide with them both on and off shell.
|
[
{
"created": "Fri, 30 Mar 2007 14:04:46 GMT",
"version": "v1"
},
{
"created": "Thu, 3 May 2007 16:38:12 GMT",
"version": "v2"
}
] |
2010-10-27
|
[
[
"Ettle",
"James H.",
""
],
[
"Fu",
"Chih-Hao",
""
],
[
"Fudger",
"Jonathan P.",
""
],
[
"Mansfield",
"Paul R. W.",
""
],
[
"Morris",
"Tim R.",
""
]
] |
We demonstrate that the canonical change of variables that yields the MHV lagrangian, also provides contributions to scattering amplitudes that evade the equivalence theorem. This `ET evasion' in particular provides the tree-level (-++) amplitude, which is non-vanishing off shell, or on shell with complex momenta or in (2,2) signature, and is missing from the MHV (aka CSW) rules. At one loop there are ET-evading diagrammatic contributions to the amplitudes with all positive helicities. We supply the necessary regularisation in order to define these contributions (and quantum MHV methods in general) by starting from the light-cone Yang-Mills lagrangian in D dimensions and making a canonical change of variables for all D-2 transverse degrees of freedom of the gauge field. In this way, we obtain dimensionally regularised three- and four-point MHV amplitudes. Returning to the one-loop (++++) amplitude, we demonstrate that its quadruple cut coincides with the known result, and show how the original light-cone Yang-Mills contributions can in fact be algebraically recovered from the ET-evading contributions. We conclude that the canonical MHV lagrangian, supplemented with the extra terms brought to correlation functions by the non-linear field transformation, provide contributions which are just a rearrangement of those from light-cone Yang-Mills and thus coincide with them both on and off shell.
| 11.713952 | 11.721048 | 12.708271 | 11.319412 | 12.462955 | 11.826411 | 11.940171 | 11.679029 | 11.624057 | 12.68599 | 12.020236 | 11.355111 | 11.63476 | 11.271399 | 11.291334 | 11.434676 | 11.341112 | 11.41727 | 11.260208 | 11.507351 | 11.206641 |
0911.3395
|
Steven B. Giddings
|
Steven B. Giddings
|
Nonlocality vs. complementarity: a conservative approach to the
information problem
|
11 pages of text and figures, + references. v2 minor text. v3 small
revisions to match final journal version
|
Class.Quant.Grav.28:025002,2011
|
10.1088/0264-9381/28/2/025002
|
CERN-PH-TH/2009-221
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A proposal for resolution of the information paradox is that "nice slice"
states, which have been viewed as providing a sharp argument for information
loss, do not in fact do so as they do not give a fully accurate description of
the quantum state of a black hole. This however leaves an information
*problem*, which is to provide a consistent description of how information
escapes when a black hole evaporates. While a rather extreme form of
nonlocality has been advocated in the form of complementarity, this paper
argues that is not necessary, and more modest nonlocality could solve the
information problem. One possible distinguishing characteristic of scenarios is
the information retention time. The question of whether such nonlocality
implies acausality, and particularly inconsistency, is briefly addressed. The
need for such nonlocality, and its apparent tension with our empirical
observations of local quantum field theory, may be a critical missing piece in
understanding the principles of quantum gravity.
|
[
{
"created": "Wed, 18 Nov 2009 14:15:14 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jan 2010 22:01:44 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Jan 2011 21:56:41 GMT",
"version": "v3"
}
] |
2011-02-01
|
[
[
"Giddings",
"Steven B.",
""
]
] |
A proposal for resolution of the information paradox is that "nice slice" states, which have been viewed as providing a sharp argument for information loss, do not in fact do so as they do not give a fully accurate description of the quantum state of a black hole. This however leaves an information *problem*, which is to provide a consistent description of how information escapes when a black hole evaporates. While a rather extreme form of nonlocality has been advocated in the form of complementarity, this paper argues that is not necessary, and more modest nonlocality could solve the information problem. One possible distinguishing characteristic of scenarios is the information retention time. The question of whether such nonlocality implies acausality, and particularly inconsistency, is briefly addressed. The need for such nonlocality, and its apparent tension with our empirical observations of local quantum field theory, may be a critical missing piece in understanding the principles of quantum gravity.
| 13.062731 | 14.311357 | 13.721955 | 12.538646 | 14.122243 | 13.783277 | 14.489371 | 12.815604 | 12.454906 | 14.843383 | 12.658204 | 13.088531 | 12.348515 | 12.519802 | 12.844907 | 12.489241 | 13.493884 | 12.836707 | 13.039592 | 12.741312 | 12.6219 |
hep-th/0412117
|
Wojciech Zakrzewski
|
Wojtek Zakrzewski
|
Laplacians on lattices
|
11 pages including pictures
|
J.Nonlin.Math.Phys. 12 (2005) 530-538
|
10.2991/jnmp.2005.12.4.7
| null |
hep-th cond-mat.soft hep-lat nlin.PS nlin.SI
| null |
We consider some lattices and look at discrete Laplacians on these lattices.
In particular we look at solutions of the equation $\triangle(1)\phi =
\triangle(2)Z$ where $\triangle(1)$ and $\triangle(2)$ are two such laplacians
on the same lattice. We discuss solutions of this equation in some special
cases.
|
[
{
"created": "Sun, 12 Dec 2004 17:07:53 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Zakrzewski",
"Wojtek",
""
]
] |
We consider some lattices and look at discrete Laplacians on these lattices. In particular we look at solutions of the equation $\triangle(1)\phi = \triangle(2)Z$ where $\triangle(1)$ and $\triangle(2)$ are two such laplacians on the same lattice. We discuss solutions of this equation in some special cases.
| 7.251876 | 7.063544 | 7.813091 | 6.913438 | 6.594592 | 6.879193 | 7.353896 | 6.594666 | 6.91343 | 6.752789 | 6.692182 | 6.693213 | 6.839058 | 6.779833 | 6.898275 | 7.071911 | 6.949712 | 6.631866 | 6.480567 | 6.737244 | 6.717125 |
2306.12458
|
Robert Brandenberger
|
Robert Brandenberger (McGill University)
|
Superstring Cosmology -- A Complementary Review
|
25 pages, 8 figures, obvious typos in Eqs. (9) and (10) corrected
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this review, a number of approaches to superstring cosmology which make
use of key features which distinguish string theory from point particle
theories are discussed, with particular emphasis on emergent scenarios. One
motivation for the discussion is the realization that, in order to describe the
evolution of the very early universe, it is necessary to go beyond a
conventional effective field theory (EFT) analysis. Some of the conceptual
problems of an EFT analysis will be discussed. The review begins with a summary
of the criteria for a successful early universe scenario, emphasizing that
cosmic inflation is not the only scenario of early universe cosmology which is
consistent with current cosmological observations. Bouncing and emergent
scenarios as interesting alternatives are introduced. Some realizations of
these scenarios from superstring theory are reviewed, e.g. String Gas
Cosmology, the Pre-Big-Bang scenario, the Ekpyrotic model, Double Field Theory
cosmology and matrix model cosmology. In light of the difficulties in obtaining
cosmic inflation from string theory (at the level of EFT), and realizing that
there are promising examples of alternative early universe scenarios which are
derived from basic principles of superstring theory, one must entertain the
possibility that the cosmology emerging from string theory will not involve an
extended period of accelerated expansion.
|
[
{
"created": "Wed, 21 Jun 2023 07:28:28 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Oct 2023 18:16:07 GMT",
"version": "v2"
}
] |
2023-10-31
|
[
[
"Brandenberger",
"Robert",
"",
"McGill University"
]
] |
In this review, a number of approaches to superstring cosmology which make use of key features which distinguish string theory from point particle theories are discussed, with particular emphasis on emergent scenarios. One motivation for the discussion is the realization that, in order to describe the evolution of the very early universe, it is necessary to go beyond a conventional effective field theory (EFT) analysis. Some of the conceptual problems of an EFT analysis will be discussed. The review begins with a summary of the criteria for a successful early universe scenario, emphasizing that cosmic inflation is not the only scenario of early universe cosmology which is consistent with current cosmological observations. Bouncing and emergent scenarios as interesting alternatives are introduced. Some realizations of these scenarios from superstring theory are reviewed, e.g. String Gas Cosmology, the Pre-Big-Bang scenario, the Ekpyrotic model, Double Field Theory cosmology and matrix model cosmology. In light of the difficulties in obtaining cosmic inflation from string theory (at the level of EFT), and realizing that there are promising examples of alternative early universe scenarios which are derived from basic principles of superstring theory, one must entertain the possibility that the cosmology emerging from string theory will not involve an extended period of accelerated expansion.
| 7.387738 | 7.296236 | 7.971988 | 6.945239 | 7.282698 | 7.03395 | 7.029751 | 6.829721 | 6.950072 | 7.723464 | 7.443385 | 7.199721 | 7.202617 | 7.103987 | 7.281046 | 7.288989 | 7.319626 | 7.239948 | 6.898057 | 7.24811 | 7.062708 |
2306.15671
|
Hao Geng
|
Hao Geng
|
Revisiting Recent Progress in the Karch-Randall Braneworld
|
23 pages, 7 figures, comments are welcome; v2, title changed, added
section 4.2; v3, section 4.2 updated and references added
| null | null | null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Motivated by the study of entanglement island in the Karch-Randall
braneworld, it has been conjectured and proven in general that entanglement
island is not consistent with long-range (massless) gravity. In this paper, we
provide a careful check of this conclusion in a model of massless gravity that
is constructed using the Karch-Randall braneworld. We show that there is indeed
no entanglement island and hence not a nontrivial Page curve due to the
diffeomorphism invariance if we are studying the correct question which is
though subtle. Moreover, we show that this conclusion is not affected by
deforming the setup with the Dvali--Gabadadze--Porrati (DGP) terms.
Furthermore, we show that the consistency of holography in this model will
provide nontrivial constraints to the DGP parameters. This study provides an
example that causality and holography in anti-de Sitter space can be used to
constrain low energy effective theories. At the end, we clarify several
subtleties in the braneworld gravity which are overlooked in the literature and
we discuss the robustness of the above results against possible coarse-graining
protocols to define a subregion in a gravitational theory.
|
[
{
"created": "Tue, 27 Jun 2023 17:59:59 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Aug 2023 18:00:01 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Aug 2023 23:03:08 GMT",
"version": "v3"
}
] |
2023-08-28
|
[
[
"Geng",
"Hao",
""
]
] |
Motivated by the study of entanglement island in the Karch-Randall braneworld, it has been conjectured and proven in general that entanglement island is not consistent with long-range (massless) gravity. In this paper, we provide a careful check of this conclusion in a model of massless gravity that is constructed using the Karch-Randall braneworld. We show that there is indeed no entanglement island and hence not a nontrivial Page curve due to the diffeomorphism invariance if we are studying the correct question which is though subtle. Moreover, we show that this conclusion is not affected by deforming the setup with the Dvali--Gabadadze--Porrati (DGP) terms. Furthermore, we show that the consistency of holography in this model will provide nontrivial constraints to the DGP parameters. This study provides an example that causality and holography in anti-de Sitter space can be used to constrain low energy effective theories. At the end, we clarify several subtleties in the braneworld gravity which are overlooked in the literature and we discuss the robustness of the above results against possible coarse-graining protocols to define a subregion in a gravitational theory.
| 9.026686 | 8.855924 | 9.535358 | 8.115654 | 8.445974 | 8.680263 | 8.805415 | 8.264241 | 8.452588 | 9.847465 | 8.201239 | 8.694878 | 8.730261 | 8.677809 | 8.760365 | 8.638779 | 8.707223 | 8.583423 | 8.630888 | 9.040418 | 8.427646 |
hep-th/9608030
|
Gudmar Thorleifsson
|
M. Bowick, V. John and G. Thorleifsson (Syracuse University)
|
The Hausdorff Dimension of Surfaces in Two-Dimensional Quantum Gravity
Coupled to Ising Minimal Matter
|
12 pages, Latex. Revised to deal only with Ising matter. Clarifying
discussion added
|
Phys.Lett. B403 (1997) 197-202
|
10.1016/S0370-2693(97)00531-5
|
SU-4240-638
|
hep-th
| null |
Within the framework of string field theory the intrinsic Hausdorff dimension
d_H of the ensemble of surfaces in two-dimensional quantum gravity has recently
been claimed to be 2m for the class of unitary minimal models (p = m+1,q = m).
This contradicts recent results from numerical simulations, which consistently
find d_H approximatly 4 in the cases m = 2, 3, 5 and infinity. The string field
calculations rely on identifying the scaling behavior of geodesic distance and
area with respect to a common length scale l. This length scale is introduced
by formulating the models on a disk with fixed boundary length l. In this paper
we study the relationship between the mean area and the boundary length for
pure gravity and the Ising model coupled to gravity. We discuss how this
relationship is modified by relevant perturbations in the Ising model. We
discuss how this leads to a modified value for the Hausdorff dimension.
|
[
{
"created": "Tue, 6 Aug 1996 18:53:56 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Sep 1996 12:30:24 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Mar 1997 14:53:41 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Bowick",
"M.",
"",
"Syracuse University"
],
[
"John",
"V.",
"",
"Syracuse University"
],
[
"Thorleifsson",
"G.",
"",
"Syracuse University"
]
] |
Within the framework of string field theory the intrinsic Hausdorff dimension d_H of the ensemble of surfaces in two-dimensional quantum gravity has recently been claimed to be 2m for the class of unitary minimal models (p = m+1,q = m). This contradicts recent results from numerical simulations, which consistently find d_H approximatly 4 in the cases m = 2, 3, 5 and infinity. The string field calculations rely on identifying the scaling behavior of geodesic distance and area with respect to a common length scale l. This length scale is introduced by formulating the models on a disk with fixed boundary length l. In this paper we study the relationship between the mean area and the boundary length for pure gravity and the Ising model coupled to gravity. We discuss how this relationship is modified by relevant perturbations in the Ising model. We discuss how this leads to a modified value for the Hausdorff dimension.
| 9.938282 | 9.364291 | 11.02281 | 8.87036 | 9.745282 | 9.545091 | 9.839337 | 9.595288 | 9.32568 | 10.81261 | 9.506126 | 9.071315 | 9.855559 | 9.552558 | 9.421772 | 9.65481 | 9.440626 | 9.34227 | 9.572016 | 9.547091 | 9.504839 |
hep-th/9412227
|
Hiroshi Shirokura
|
Hiroshi Shirokura (Osaka University)
|
Modification of Matrix Models by Square Terms of Scaling Operators
|
25 pages, 1 postscript figure, uses latex and epsf.sty
| null | null |
OU-HET 208
|
hep-th
| null |
We study one (or two) matrix models modified by terms of the form
$g(\rho(P))^2 + g'(\rho'({\cal{O}}))^2$, where the matrix representation of the
puncture operator $P$ and the one of a scaling operator ${\cal{O}}$ are denoted
by $\rho(P)$ and $\rho'({\cal{O}})$ respectively. We rewrite the modified
models as effective theories of baby universes. We find an upper bound for the
gravitational dimension of ${\cal{O}}$ under which we can fine tune the
coupling constants to obtain new critical behaviors in the continuum limit. The
simultaneous tuning of $g$ and $g'$ is possible if the representations
$\rho(P)$ and $\rho'({\cal{O}})$ are chosen so that the non-diagonal elements
of the mass matrix of the effective theory vanish.
|
[
{
"created": "Wed, 28 Dec 1994 11:54:28 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Shirokura",
"Hiroshi",
"",
"Osaka University"
]
] |
We study one (or two) matrix models modified by terms of the form $g(\rho(P))^2 + g'(\rho'({\cal{O}}))^2$, where the matrix representation of the puncture operator $P$ and the one of a scaling operator ${\cal{O}}$ are denoted by $\rho(P)$ and $\rho'({\cal{O}})$ respectively. We rewrite the modified models as effective theories of baby universes. We find an upper bound for the gravitational dimension of ${\cal{O}}$ under which we can fine tune the coupling constants to obtain new critical behaviors in the continuum limit. The simultaneous tuning of $g$ and $g'$ is possible if the representations $\rho(P)$ and $\rho'({\cal{O}})$ are chosen so that the non-diagonal elements of the mass matrix of the effective theory vanish.
| 7.182869 | 7.220775 | 7.49487 | 6.770043 | 6.656345 | 7.281687 | 7.522246 | 6.996314 | 6.49735 | 7.96337 | 6.7413 | 6.747849 | 6.841254 | 6.777957 | 6.542057 | 6.566607 | 6.630553 | 6.454844 | 6.600673 | 6.993503 | 6.616718 |
hep-th/9206010
|
Antti Niemi
|
A. Hietamaki and A.J. Niemi
|
Index Theorems and Loop Space Geometry
|
15 pages, report CERN-TH-6471 and HU-TFT-92-15
|
Phys.Lett. B288 (1992) 331-341
|
10.1016/0370-2693(92)91111-L
| null |
hep-th
| null |
We investigate the evaluation of the Dirac index using symplectic geometry in
the loop space of the corresponding supersymmetric quantum mechanical model. In
particular, we find that if we impose a simple first class constraint, we can
evaluate the Callias index of an odd dimensional Dirac operator directly from
the quantum mechanical model which yields the Atiyah-Singer index of an even
dimensional Dirac operator in one more dimension. The effective action obtained
by BRST quantization of this constrained system can be interpreted in terms of
loop space symplectic geometry, and the corresponding path integral for the
index can be evaluated exactly using the recently developed localization
techniques.
|
[
{
"created": "Tue, 2 Jun 1992 20:14:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Hietamaki",
"A.",
""
],
[
"Niemi",
"A. J.",
""
]
] |
We investigate the evaluation of the Dirac index using symplectic geometry in the loop space of the corresponding supersymmetric quantum mechanical model. In particular, we find that if we impose a simple first class constraint, we can evaluate the Callias index of an odd dimensional Dirac operator directly from the quantum mechanical model which yields the Atiyah-Singer index of an even dimensional Dirac operator in one more dimension. The effective action obtained by BRST quantization of this constrained system can be interpreted in terms of loop space symplectic geometry, and the corresponding path integral for the index can be evaluated exactly using the recently developed localization techniques.
| 9.505363 | 9.797724 | 10.022293 | 8.98197 | 10.084611 | 9.497617 | 10.012084 | 9.791512 | 9.033759 | 11.486475 | 8.787724 | 8.913789 | 9.799417 | 9.288246 | 9.251069 | 9.431661 | 9.311231 | 9.380626 | 9.476006 | 9.420617 | 8.800632 |
hep-th/0407116
|
Alexei Nurmagambetov
|
Alexei J. Nurmagambetov
|
Duality-Symmetric Gravity and Supergravity: Testing the PST approach
|
12pp., AMSTex
| null | null | null |
hep-th
| null |
Drawing an analogy between gravity dynamical equation of motion and that of
Maxwell electrodynamics with an electric source we outline a way of appearance
of a dual to graviton field. We propose a dimensional reduction ansatz for the
field strength of this field which reproduces the correct duality relations
between fields arising in the dimensional reduction of D-dimensional gravity
action to D-1 dimensions. Modifying the PST approach we construct a new term
entering the action of D=11 duality-symmetric gravity and by use of the
proposed ansatz we confirm the relevance of such a term to reproduce the
correct duality-symmetric structure of the reduced theory. We end up extending
the results to the bosonic sector of D=11 supergravity.
|
[
{
"created": "Wed, 14 Jul 2004 10:50:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nurmagambetov",
"Alexei J.",
""
]
] |
Drawing an analogy between gravity dynamical equation of motion and that of Maxwell electrodynamics with an electric source we outline a way of appearance of a dual to graviton field. We propose a dimensional reduction ansatz for the field strength of this field which reproduces the correct duality relations between fields arising in the dimensional reduction of D-dimensional gravity action to D-1 dimensions. Modifying the PST approach we construct a new term entering the action of D=11 duality-symmetric gravity and by use of the proposed ansatz we confirm the relevance of such a term to reproduce the correct duality-symmetric structure of the reduced theory. We end up extending the results to the bosonic sector of D=11 supergravity.
| 14.658896 | 13.628312 | 15.786194 | 12.873898 | 13.935533 | 14.498382 | 12.927498 | 13.207374 | 12.769997 | 15.733753 | 13.239105 | 12.733787 | 13.87441 | 13.3673 | 12.931272 | 13.424289 | 12.680369 | 13.492935 | 12.786119 | 13.538383 | 13.335549 |
2212.06839
|
Jonah Kudler-Flam
|
Jonah Kudler-Flam, Yuya Kusuki
|
On Quantum Information Before the Page Time
|
17 pages
| null |
10.1007/JHEP05(2023)078
|
CALT-TH 2022-040 RIKEN-iTHEMS-Report-22
|
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
While recent progress in the black hole information problem has shown that
the entropy of Hawking radiation follows a unitary Page curve, the quantum
state of Hawking radiation prior the Page time is still treated as purely
thermal, containing no information about the microstructure of the black hole.
We demonstrate that there is significant quantum information regarding the
quantum state of the black hole in the Hawking radiation prior to the Page
time. By computing of the quantum fidelity in a 2D boundary conformal field
theory (BCFT) model of black hole evaporation, we demonstrate that an observer
outside of an evaporating black hole may distinguish different black holes via
measurements of the Hawking radiation at \textit{any} time during the
evaporation process, albeit with an exponentially large number of measurements.
Furthermore, our results are universal, applicable to general BCFTs including
those with large central charge and rational BCFTs. The techniques we develop
for computing the fidelity are more generally applicable to excited states in
CFT. As such, we are able to characterize more general aspects of
thermalization in 2D conformal field theory.
|
[
{
"created": "Tue, 13 Dec 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Apr 2023 04:11:42 GMT",
"version": "v2"
}
] |
2023-05-31
|
[
[
"Kudler-Flam",
"Jonah",
""
],
[
"Kusuki",
"Yuya",
""
]
] |
While recent progress in the black hole information problem has shown that the entropy of Hawking radiation follows a unitary Page curve, the quantum state of Hawking radiation prior the Page time is still treated as purely thermal, containing no information about the microstructure of the black hole. We demonstrate that there is significant quantum information regarding the quantum state of the black hole in the Hawking radiation prior to the Page time. By computing of the quantum fidelity in a 2D boundary conformal field theory (BCFT) model of black hole evaporation, we demonstrate that an observer outside of an evaporating black hole may distinguish different black holes via measurements of the Hawking radiation at \textit{any} time during the evaporation process, albeit with an exponentially large number of measurements. Furthermore, our results are universal, applicable to general BCFTs including those with large central charge and rational BCFTs. The techniques we develop for computing the fidelity are more generally applicable to excited states in CFT. As such, we are able to characterize more general aspects of thermalization in 2D conformal field theory.
| 7.501293 | 7.25666 | 7.360201 | 6.995503 | 7.20664 | 7.075487 | 7.165092 | 7.033416 | 7.431444 | 8.520933 | 7.10832 | 7.05071 | 7.457009 | 7.029072 | 7.282465 | 7.208344 | 7.210797 | 7.037171 | 7.100161 | 7.281361 | 7.450735 |
1904.09992
|
Falk Hassler
|
Saskia Demulder and Falk Hassler and Daniel C. Thompson
|
An invitation to Poisson-Lie T-duality in Double Field Theory and its
applications
|
24 pages, 3 figures, contribution to the proceedings of the workshop
"Dualities and Generalized Geometries", Corfu Summer Institute 2018
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Poisson-Lie (PL) T-duality has received much attention over the last five
years in connection with integrable string worldsheet theories. At the level of
the worldsheet, the algebraic structure underpinning these connections is made
manifest with the $\mathcal{E}$-model, a first order Hamiltonian description of
the string. The $\mathcal{E}$-model shares many similarities with Double Field
Theory (DFT). We report on recent progress in establishing a precise linkage
with DFT as the target space description of the $\mathcal{E}$-model. There are
three important outcomes of this endeavor:
1) PL symmetry is made manifest at the level of (generalized) supergravity in
DFT.
2) PL symmetric target spaces are described by a set of generalized frame
fields that encode consistent truncations of supergravity.
3) PL dualisation rules are made explicit and are readily extended to include
the R/R sector of the type II theory.
These general results are put into context with their application to the the
integrable Yang-Baxter model ($\eta$-deformation). This extended proceedings
provides some introductory review of PL and an orientation to the results of
arXiv:1707.08624 and arXiv:1810.11446.
|
[
{
"created": "Mon, 22 Apr 2019 18:00:01 GMT",
"version": "v1"
}
] |
2019-04-24
|
[
[
"Demulder",
"Saskia",
""
],
[
"Hassler",
"Falk",
""
],
[
"Thompson",
"Daniel C.",
""
]
] |
Poisson-Lie (PL) T-duality has received much attention over the last five years in connection with integrable string worldsheet theories. At the level of the worldsheet, the algebraic structure underpinning these connections is made manifest with the $\mathcal{E}$-model, a first order Hamiltonian description of the string. The $\mathcal{E}$-model shares many similarities with Double Field Theory (DFT). We report on recent progress in establishing a precise linkage with DFT as the target space description of the $\mathcal{E}$-model. There are three important outcomes of this endeavor: 1) PL symmetry is made manifest at the level of (generalized) supergravity in DFT. 2) PL symmetric target spaces are described by a set of generalized frame fields that encode consistent truncations of supergravity. 3) PL dualisation rules are made explicit and are readily extended to include the R/R sector of the type II theory. These general results are put into context with their application to the the integrable Yang-Baxter model ($\eta$-deformation). This extended proceedings provides some introductory review of PL and an orientation to the results of arXiv:1707.08624 and arXiv:1810.11446.
| 8.521029 | 9.288377 | 9.698298 | 8.686223 | 9.367076 | 9.476783 | 9.121569 | 8.629072 | 8.802898 | 9.211987 | 8.729383 | 8.615273 | 8.966268 | 8.535706 | 8.509807 | 8.267388 | 8.389229 | 8.620501 | 8.387964 | 8.874487 | 8.462504 |
2201.11073
|
Behnam Pourhassan
|
Behnam Pourhassan, Houcine Aounallah, Mir Faizal, Sudhaker Upadhyay,
Saheb Soroushfar, Yermek O. Aitenov, Salman Sajad Wani
|
Quantum Thermodynamics of an M2-M5 Brane System
|
19 pages, 4 figures
|
JHEP 05 (2022) 030
|
10.1007/JHEP05(2022)030
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We will investigate a system of M2-M5 branes as a black M2-M5 bound state.
The behavior of this system will be investigated at short distances. At such
scales, we will have to incorporate quantum gravitational corrections to the
supergravity solutions. We will study the non-equilibrium quantum
thermodynamics of this black M2-M5 bound state. The quantum work for this
solution will be obtained using the Jarzynski equality. We will also study the
corrections to the thermodynamic stability of this system from quantum
gravitational corrections. We will use the concept of a novel quantum mass to
analyze the quantum gravitational corrections to the information geometry of
this system. This will be done using effective quantum metrics for this system.
|
[
{
"created": "Sat, 1 Jan 2022 10:51:37 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 2022 16:01:36 GMT",
"version": "v2"
}
] |
2022-07-12
|
[
[
"Pourhassan",
"Behnam",
""
],
[
"Aounallah",
"Houcine",
""
],
[
"Faizal",
"Mir",
""
],
[
"Upadhyay",
"Sudhaker",
""
],
[
"Soroushfar",
"Saheb",
""
],
[
"Aitenov",
"Yermek O.",
""
],
[
"Wani",
"Salman Sajad",
""
]
] |
We will investigate a system of M2-M5 branes as a black M2-M5 bound state. The behavior of this system will be investigated at short distances. At such scales, we will have to incorporate quantum gravitational corrections to the supergravity solutions. We will study the non-equilibrium quantum thermodynamics of this black M2-M5 bound state. The quantum work for this solution will be obtained using the Jarzynski equality. We will also study the corrections to the thermodynamic stability of this system from quantum gravitational corrections. We will use the concept of a novel quantum mass to analyze the quantum gravitational corrections to the information geometry of this system. This will be done using effective quantum metrics for this system.
| 9.754424 | 9.432146 | 8.642067 | 8.724826 | 9.417235 | 9.260593 | 9.905124 | 8.225187 | 9.016541 | 9.7221 | 8.882819 | 9.100707 | 9.437804 | 9.208691 | 9.120095 | 8.891551 | 9.112857 | 8.825906 | 9.18932 | 9.414881 | 9.152189 |
0706.1104
|
Andrew Frey
|
Robert H. Brandenberger, Andrew R. Frey, Sugumi Kanno
|
Emergence of Fluctuations from a Tachyonic Big Bang
|
8pg, RevTeX4, 1 fig, v2. added refs, v3. added small clarification, 1
ref
|
Phys.Rev.D76:083524,2007
|
10.1103/PhysRevD.76.083524
| null |
hep-th astro-ph gr-qc hep-ph
| null |
It has recently been speculated that the end state of a collapsing universe
is a tachyonic big crunch. The time reversal of this process would be the
emergence of an expanding universe from a tachyonic big bang. In this
framework, we study the emergence of cosmological fluctuations. In particular,
we compare the amplitude of the perturbations at tne end of the tachyon phase
with what would be obtained assuming the usual vacuum initial conditions. We
find that cosmological fluctuations emerge in a thermal state. We comment on
the relation to the trans-Planckian problem of inflationary cosmology.
|
[
{
"created": "Fri, 8 Jun 2007 01:22:11 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jul 2007 03:12:22 GMT",
"version": "v2"
},
{
"created": "Sun, 19 Aug 2007 18:26:50 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Brandenberger",
"Robert H.",
""
],
[
"Frey",
"Andrew R.",
""
],
[
"Kanno",
"Sugumi",
""
]
] |
It has recently been speculated that the end state of a collapsing universe is a tachyonic big crunch. The time reversal of this process would be the emergence of an expanding universe from a tachyonic big bang. In this framework, we study the emergence of cosmological fluctuations. In particular, we compare the amplitude of the perturbations at tne end of the tachyon phase with what would be obtained assuming the usual vacuum initial conditions. We find that cosmological fluctuations emerge in a thermal state. We comment on the relation to the trans-Planckian problem of inflationary cosmology.
| 7.92807 | 6.679656 | 6.889944 | 6.370333 | 6.428851 | 6.406896 | 7.55349 | 6.411348 | 6.499318 | 7.747159 | 6.730504 | 6.615207 | 6.601016 | 6.506031 | 6.557312 | 6.357956 | 6.787901 | 6.613057 | 6.399997 | 6.833032 | 6.658296 |
hep-th/0606152
|
Stefano Bellucci
|
Stefano Bellucci, Armen Nersessian and Armen Yeranyan
|
Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
|
9 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-w, accepted for
publication in PRD; minor changes in the Conclusion, the Bibliography and the
Acknowledgement
|
Phys.Rev.D74:065022,2006
|
10.1103/PhysRevD.74.065022
| null |
hep-th
| null |
We apply the technique of Hamiltonian reduction for the construction of
three-dimensional ${\cal N}=4$ supersymmetric mechanics specified by the
presence of a Dirac monopole. For this purpose we take the conventional ${\cal
N}=4$ supersymmetric mechanics on the four-dimensional conformally-flat spaces
and perform its Hamiltonian reduction to three-dimensional system. We formulate
the final system in the canonical coordinates, and present, in these terms, the
explicit expressions of the Hamiltonian and supercharges. We show that, besides
a magnetic monopole field, the resulting system is specified by the presence of
a spin-orbit coupling term. A comparison with previous work is also carried
out.
|
[
{
"created": "Fri, 16 Jun 2006 08:58:46 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Sep 2006 08:41:31 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bellucci",
"Stefano",
""
],
[
"Nersessian",
"Armen",
""
],
[
"Yeranyan",
"Armen",
""
]
] |
We apply the technique of Hamiltonian reduction for the construction of three-dimensional ${\cal N}=4$ supersymmetric mechanics specified by the presence of a Dirac monopole. For this purpose we take the conventional ${\cal N}=4$ supersymmetric mechanics on the four-dimensional conformally-flat spaces and perform its Hamiltonian reduction to three-dimensional system. We formulate the final system in the canonical coordinates, and present, in these terms, the explicit expressions of the Hamiltonian and supercharges. We show that, besides a magnetic monopole field, the resulting system is specified by the presence of a spin-orbit coupling term. A comparison with previous work is also carried out.
| 7.41928 | 7.562824 | 8.183851 | 7.044601 | 7.303852 | 7.216196 | 7.292686 | 7.452295 | 6.98906 | 7.602896 | 7.262035 | 7.000884 | 7.616645 | 7.046782 | 6.899544 | 6.971532 | 7.047276 | 7.056829 | 7.161871 | 7.526871 | 6.96903 |
2407.13447
|
Harvendra Singh
|
Harvendra Singh
|
Kaluza-Klein discreteness of the entropy: Symmetrical bath and CFT
subsystem
|
22 pages, 6 figs
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We explore the entanglement entropy of CFT systems in contact with large bath
system, such that the complete system lives on the boundary of $AdS_{d+1}$
spacetime. We are interested in finding the HEE of a bath (system-B) in contact
with a central subsystem-A. We assume that the net size of systems A and B
together remains fixed while allowing variation in individual sizes. This
assumption is simply guided by the conservation laws. It is found that for
large bath size the island entropy term are important. However other subleading
(icebergs) terms do also contribute to bath entropy. The contributions are
generally not separable from each other and all such contributions add together
to give rise a fixed quantity. Further when accounted properly all such
contributions will form part of higher entropy branch for the bath.
Nevertheless the HEE of bath system should be subjected to minimality
principle. The quantum minimality principle $ S_{quantum}[B]=\{S[A],
S_{total}+S[A]\}_{min}$, is local in nature and gives rise to the Page curve.
It is shown that the changes in bath entropy do capture Kaluza-Klein
discreteness. The minimality principle would be applicable in finite
temperature systems as well.
|
[
{
"created": "Thu, 18 Jul 2024 12:15:58 GMT",
"version": "v1"
}
] |
2024-07-19
|
[
[
"Singh",
"Harvendra",
""
]
] |
We explore the entanglement entropy of CFT systems in contact with large bath system, such that the complete system lives on the boundary of $AdS_{d+1}$ spacetime. We are interested in finding the HEE of a bath (system-B) in contact with a central subsystem-A. We assume that the net size of systems A and B together remains fixed while allowing variation in individual sizes. This assumption is simply guided by the conservation laws. It is found that for large bath size the island entropy term are important. However other subleading (icebergs) terms do also contribute to bath entropy. The contributions are generally not separable from each other and all such contributions add together to give rise a fixed quantity. Further when accounted properly all such contributions will form part of higher entropy branch for the bath. Nevertheless the HEE of bath system should be subjected to minimality principle. The quantum minimality principle $ S_{quantum}[B]=\{S[A], S_{total}+S[A]\}_{min}$, is local in nature and gives rise to the Page curve. It is shown that the changes in bath entropy do capture Kaluza-Klein discreteness. The minimality principle would be applicable in finite temperature systems as well.
| 22.344276 | 23.515331 | 22.803011 | 22.179337 | 24.710733 | 25.003996 | 23.901999 | 24.06283 | 21.314491 | 25.638874 | 21.674326 | 21.61524 | 21.854959 | 20.98122 | 21.149599 | 21.497198 | 21.987894 | 20.881428 | 21.458557 | 22.120899 | 21.0975 |
1912.04334
|
Akshay Yelleshpur Srikant
|
Brad Bachu, Akshay Yelleshpur
|
On-Shell Electroweak Sector and the Higgs Mechanism
| null | null |
10.1007/JHEP08(2020)039
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We take the first steps towards an entirely on-shell description of the
bosonic electroweak sector of the Standard Model. We write down on-shell three
particle amplitudes consistent with Poincare' invariance and little group
covariance. Tree-level, four particle amplitudes are determined by demanding
consistent factorization on all poles and correct UV behaviour. We present
expressions for these $2\rightarrow 2$ scattering amplitudes using massive
spinor helicity variables. We show that on-shell consistency conditions suffice
to derive relations between the masses of the $W^\pm, Z$, the Weinberg angle
and the couplings. This provides a completely on-shell description of the Higgs
mechanism without any reference to the vacuum expectation value of the Higgs
field.
|
[
{
"created": "Mon, 9 Dec 2019 19:22:43 GMT",
"version": "v1"
}
] |
2020-08-26
|
[
[
"Bachu",
"Brad",
""
],
[
"Yelleshpur",
"Akshay",
""
]
] |
We take the first steps towards an entirely on-shell description of the bosonic electroweak sector of the Standard Model. We write down on-shell three particle amplitudes consistent with Poincare' invariance and little group covariance. Tree-level, four particle amplitudes are determined by demanding consistent factorization on all poles and correct UV behaviour. We present expressions for these $2\rightarrow 2$ scattering amplitudes using massive spinor helicity variables. We show that on-shell consistency conditions suffice to derive relations between the masses of the $W^\pm, Z$, the Weinberg angle and the couplings. This provides a completely on-shell description of the Higgs mechanism without any reference to the vacuum expectation value of the Higgs field.
| 8.097716 | 7.477475 | 7.653755 | 7.75438 | 7.773794 | 7.456634 | 7.468953 | 7.433935 | 7.351327 | 7.902435 | 7.575367 | 7.563563 | 7.920757 | 7.288017 | 7.613115 | 7.516709 | 7.467461 | 7.361973 | 7.477336 | 7.850333 | 7.121412 |
2104.09681
|
Liliana Vazquez
|
S. R. Ju\'arez Wysozka, Piotr Kielanowski, Edgar Uribe Longoria and
Liliana Vazquez Mercado
|
Two interacting scalar fields: practical renormalization
|
62 pages, 30 figures
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The main theme of the paper is the detailed discussion of the renormalization
of the quantum field theory comprising two interacting scalar fields. The
potential of the model is the fourth-order homogeneous polynomial of the
fields, symmetric with respect to the transformation
$\phi_{i}\rightarrow{-\phi_{i}}$. We determine the Feynman rules for the model
and then we present a detailed discussion of the renormalization of the theory
at one loop. Next, we derive the one loop renormalization group equations for
the running masses and coupling constants. At the level of two loops, we use
the FeynArts package of Mathematica to generate the two loops Feynman diagrams
and calculate in detail the setting sun diagram.
|
[
{
"created": "Mon, 19 Apr 2021 23:13:08 GMT",
"version": "v1"
}
] |
2021-04-21
|
[
[
"Wysozka",
"S. R. Juárez",
""
],
[
"Kielanowski",
"Piotr",
""
],
[
"Longoria",
"Edgar Uribe",
""
],
[
"Mercado",
"Liliana Vazquez",
""
]
] |
The main theme of the paper is the detailed discussion of the renormalization of the quantum field theory comprising two interacting scalar fields. The potential of the model is the fourth-order homogeneous polynomial of the fields, symmetric with respect to the transformation $\phi_{i}\rightarrow{-\phi_{i}}$. We determine the Feynman rules for the model and then we present a detailed discussion of the renormalization of the theory at one loop. Next, we derive the one loop renormalization group equations for the running masses and coupling constants. At the level of two loops, we use the FeynArts package of Mathematica to generate the two loops Feynman diagrams and calculate in detail the setting sun diagram.
| 7.071435 | 7.452021 | 7.833506 | 7.139857 | 8.197577 | 7.828681 | 7.695097 | 7.284359 | 7.126384 | 8.033182 | 7.195834 | 7.150245 | 7.204501 | 6.96727 | 6.989783 | 7.181845 | 6.99626 | 7.357118 | 6.942044 | 7.340156 | 6.828393 |
hep-th/9912085
|
Lubomir Martinovic
|
A. Harindranath (Saha Inst.), L. Martinovic (Inst. of Physics,
Bratislava), J. P. Vary (Iowa State U.)
|
Compactification near and on the light front
|
24 pages, 4 figures
|
Phys.Rev. D62 (2000) 105015
|
10.1103/PhysRevD.62.105015
| null |
hep-th
| null |
We address problems associated with compactification near and on the light
front. In perturbative scalar field theory we illustrate and clarify the
relationships among three approaches: (1) quantization on a space-like surface
close to a light front; (2) infinite momentum frame calculations; and (3)
quantization on the light front. Our examples emphasize the difference between
zero modes in space-like quantization and those in light front quantization. In
particular, in perturbative calculations of scalar field theory using
discretized light cone quantization there are well-known ``zero-mode induced''
interaction terms. However, we show that they decouple in the continuum limit
and covariant answers are reproduced. Thus compactification of a light-like
surface is feasible and defines a consistent field theory.
|
[
{
"created": "Fri, 10 Dec 1999 06:35:34 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Harindranath",
"A.",
"",
"Saha Inst."
],
[
"Martinovic",
"L.",
"",
"Inst. of Physics,\n Bratislava"
],
[
"Vary",
"J. P.",
"",
"Iowa State U."
]
] |
We address problems associated with compactification near and on the light front. In perturbative scalar field theory we illustrate and clarify the relationships among three approaches: (1) quantization on a space-like surface close to a light front; (2) infinite momentum frame calculations; and (3) quantization on the light front. Our examples emphasize the difference between zero modes in space-like quantization and those in light front quantization. In particular, in perturbative calculations of scalar field theory using discretized light cone quantization there are well-known ``zero-mode induced'' interaction terms. However, we show that they decouple in the continuum limit and covariant answers are reproduced. Thus compactification of a light-like surface is feasible and defines a consistent field theory.
| 11.30306 | 11.362781 | 11.623318 | 10.732164 | 11.9364 | 12.900723 | 11.803012 | 11.454871 | 11.432752 | 11.529236 | 11.090843 | 10.919422 | 11.311138 | 11.288692 | 11.403563 | 11.740956 | 11.250864 | 11.556343 | 11.329306 | 11.144156 | 11.189506 |
1203.6562
|
Diego Marques
|
G. Dibitetto, J. J. Fernandez-Melgarejo, D. Marques and D. Roest
|
Duality orbits of non-geometric fluxes
|
39 pages, 1 figure, 6 tables; v2: refs added, published version
|
Fortschr. Phys. 60, (2012), No. 11, 1123
|
10.1002/prop.201200078
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Compactifications in duality covariant constructions such as generalised
geometry and double field theory have proven to be suitable frameworks to
reproduce gauged supergravities containing non-geometric fluxes. However, it is
a priori unclear whether these approaches only provide a reformulation of old
results, or also contain new physics. To address this question, we classify the
T- and U-duality orbits of gaugings of (half-)maximal supergravities in
dimensions seven and higher. It turns out that all orbits have a geometric
supergravity origin in the maximal case, while there are non-geometric orbits
in the half-maximal case. We show how the latter are obtained from
compactifications of double field theory.
|
[
{
"created": "Thu, 29 Mar 2012 15:40:43 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Apr 2012 10:17:07 GMT",
"version": "v2"
}
] |
2012-10-31
|
[
[
"Dibitetto",
"G.",
""
],
[
"Fernandez-Melgarejo",
"J. J.",
""
],
[
"Marques",
"D.",
""
],
[
"Roest",
"D.",
""
]
] |
Compactifications in duality covariant constructions such as generalised geometry and double field theory have proven to be suitable frameworks to reproduce gauged supergravities containing non-geometric fluxes. However, it is a priori unclear whether these approaches only provide a reformulation of old results, or also contain new physics. To address this question, we classify the T- and U-duality orbits of gaugings of (half-)maximal supergravities in dimensions seven and higher. It turns out that all orbits have a geometric supergravity origin in the maximal case, while there are non-geometric orbits in the half-maximal case. We show how the latter are obtained from compactifications of double field theory.
| 6.897443 | 6.343872 | 7.733305 | 6.251032 | 6.166977 | 6.403244 | 6.451338 | 6.25808 | 6.611196 | 8.566017 | 6.177379 | 6.369913 | 6.82819 | 6.49524 | 6.448058 | 6.567474 | 6.502465 | 6.397625 | 6.322066 | 6.605525 | 6.2078 |
2206.03507
|
Michele Galli
|
Michele Galli, Emanuel Malek
|
Consistent truncations to 3-dimensional supergravity
|
33 pages plus appendix
| null |
10.1007/JHEP09(2022)014
|
HU-EP-22/23
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how to construct consistent truncations of 10-/11-dimensional
supergravity to 3-dimensional gauged supergravity, preserving various amounts
of supersymmetry. We show, that as in higher dimensions, consistent truncations
can be defined in terms of generalised $G$-structures in Exceptional Field
Theory, with $G \subset E_{8(8)}$ for the 3-dimensional case. Differently from
higher dimensions, the generalised Lie derivative of $E_{8(8)}$ Exceptional
Field Theory requires a set of "covariantly constrained" fields to be
well-defined, and we show how these can be constructed from the $G$-structure
itself. We prove several general features of consistent truncations, allowing
us to rule out a higher-dimensional origin of many 3-dimensional gauged
supergravities. In particular, we show that the compact part of the gauge group
can be at most $\mathrm{SO}(9)$ and that there are no consistent truncations on
a 7-or 8-dimensional product of spheres such that the full isometry group of
the spheres is gauged. Moreover, we classify which matter-coupled ${\cal N}
\geq 4$ gauged supergravities can arise from consistent truncations. Finally,
we give several examples of consistent truncations to three dimensions. These
include the truncations of IIA and IIB supergravity on $S^7$ leading to two
different ${\cal N}=16$ gauged supergravites, as well as more general IIA/IIB
truncations on $H^{p,7-p}$. We also show how to construct consistent
truncations on compactifications of IIB supergravity on $S^5$ fibred over a
Riemann surface. These result in 3-dimensional ${\cal N}=4$ gauged
supergravities with scalar manifold ${\cal M} =
\frac{\mathrm{SO}(6,4)}{\mathrm{SO}(6) \times \mathrm{SO}(4)} \times
\frac{\mathrm{SU}(2,1)}{\mathrm{S}(\mathrm{U}(2)\times\mathrm{U}(1))}$ with a
$\mathrm{ISO}(3)\times\mathrm{U}(1)^4$ gauging and for hyperboloidal Riemann
surfaces contain ${\cal N}=(2,2)$ AdS$_3$ vacua.
|
[
{
"created": "Tue, 7 Jun 2022 18:00:02 GMT",
"version": "v1"
}
] |
2022-09-21
|
[
[
"Galli",
"Michele",
""
],
[
"Malek",
"Emanuel",
""
]
] |
We show how to construct consistent truncations of 10-/11-dimensional supergravity to 3-dimensional gauged supergravity, preserving various amounts of supersymmetry. We show, that as in higher dimensions, consistent truncations can be defined in terms of generalised $G$-structures in Exceptional Field Theory, with $G \subset E_{8(8)}$ for the 3-dimensional case. Differently from higher dimensions, the generalised Lie derivative of $E_{8(8)}$ Exceptional Field Theory requires a set of "covariantly constrained" fields to be well-defined, and we show how these can be constructed from the $G$-structure itself. We prove several general features of consistent truncations, allowing us to rule out a higher-dimensional origin of many 3-dimensional gauged supergravities. In particular, we show that the compact part of the gauge group can be at most $\mathrm{SO}(9)$ and that there are no consistent truncations on a 7-or 8-dimensional product of spheres such that the full isometry group of the spheres is gauged. Moreover, we classify which matter-coupled ${\cal N} \geq 4$ gauged supergravities can arise from consistent truncations. Finally, we give several examples of consistent truncations to three dimensions. These include the truncations of IIA and IIB supergravity on $S^7$ leading to two different ${\cal N}=16$ gauged supergravites, as well as more general IIA/IIB truncations on $H^{p,7-p}$. We also show how to construct consistent truncations on compactifications of IIB supergravity on $S^5$ fibred over a Riemann surface. These result in 3-dimensional ${\cal N}=4$ gauged supergravities with scalar manifold ${\cal M} = \frac{\mathrm{SO}(6,4)}{\mathrm{SO}(6) \times \mathrm{SO}(4)} \times \frac{\mathrm{SU}(2,1)}{\mathrm{S}(\mathrm{U}(2)\times\mathrm{U}(1))}$ with a $\mathrm{ISO}(3)\times\mathrm{U}(1)^4$ gauging and for hyperboloidal Riemann surfaces contain ${\cal N}=(2,2)$ AdS$_3$ vacua.
| 4.312308 | 4.468302 | 4.940996 | 4.260775 | 4.440684 | 4.461397 | 4.347155 | 4.24926 | 4.238058 | 5.22233 | 4.206788 | 4.297803 | 4.589987 | 4.313412 | 4.294748 | 4.31906 | 4.372478 | 4.23826 | 4.360147 | 4.491295 | 4.265548 |
2310.11242
|
Vinayak Raj
|
Anjali Kumari, Vinayak Raj, Gautam Sengupta
|
Odd entanglement entropy in boundary conformal field theories and
holographic moving mirrors
|
18 pages, 5 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article, we investigate the entanglement structure of bipartite mixed
states in (1+1)-dimensional boundary conformal field theories (BCFT$_2$s)
through the odd entanglement entropy (OEE) by employing an appropriate replica
technique. In this regard we compare our results with the bulk entanglement
wedge cross section (EWCS) for AdS$_3$ geometries with an end-of-the-world
brane. We observe consistent extension of the holographic duality between the
difference of the OEE and the entanglement entropy (EE) with the bulk EWCS, in
the framework of AdS$_3$/BCFT$_2$ holography. Furthermore, we also extend our
computations to the holographic moving mirror models where the Hawking
radiation from eternal and evaporating black holes may be simulated depending
on certain mirror profiles, and find consistent extension of the aforementioned
holographic duality.
|
[
{
"created": "Tue, 17 Oct 2023 13:11:30 GMT",
"version": "v1"
}
] |
2023-10-18
|
[
[
"Kumari",
"Anjali",
""
],
[
"Raj",
"Vinayak",
""
],
[
"Sengupta",
"Gautam",
""
]
] |
In this article, we investigate the entanglement structure of bipartite mixed states in (1+1)-dimensional boundary conformal field theories (BCFT$_2$s) through the odd entanglement entropy (OEE) by employing an appropriate replica technique. In this regard we compare our results with the bulk entanglement wedge cross section (EWCS) for AdS$_3$ geometries with an end-of-the-world brane. We observe consistent extension of the holographic duality between the difference of the OEE and the entanglement entropy (EE) with the bulk EWCS, in the framework of AdS$_3$/BCFT$_2$ holography. Furthermore, we also extend our computations to the holographic moving mirror models where the Hawking radiation from eternal and evaporating black holes may be simulated depending on certain mirror profiles, and find consistent extension of the aforementioned holographic duality.
| 6.786518 | 5.7158 | 7.194088 | 5.576726 | 5.540771 | 5.757367 | 5.426423 | 5.924973 | 5.603581 | 7.992405 | 5.664032 | 6.01476 | 6.486333 | 5.781327 | 6.213948 | 6.03682 | 5.93156 | 6.21517 | 6.159617 | 6.65613 | 6.164942 |
2012.05347
|
Jens Boos
|
Jens Boos, Valeri P. Frolov, Jose Pinedo Soto
|
Ultrarelativistic charged and magnetized objects in non-local ghost-free
electrodynamics
|
10 pages, 1 figure, comments welcome!
|
Phys. Rev. D 103, 045013 (2021)
|
10.1103/PhysRevD.103.045013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a non-local ghost-free Lorentz invariant modification of the Maxwell
equations in four- and higher-dimensional flat spacetimes. We construct
solutions of these equations for stationary charged and magnetized objects and
use them to find the field created by such objects moving with the speed of
light.
|
[
{
"created": "Wed, 9 Dec 2020 22:22:37 GMT",
"version": "v1"
}
] |
2021-02-24
|
[
[
"Boos",
"Jens",
""
],
[
"Frolov",
"Valeri P.",
""
],
[
"Soto",
"Jose Pinedo",
""
]
] |
We study a non-local ghost-free Lorentz invariant modification of the Maxwell equations in four- and higher-dimensional flat spacetimes. We construct solutions of these equations for stationary charged and magnetized objects and use them to find the field created by such objects moving with the speed of light.
| 11.366731 | 10.80712 | 10.064816 | 9.667703 | 10.453556 | 11.871849 | 11.061492 | 10.34727 | 10.288432 | 9.632163 | 9.99241 | 9.216909 | 9.669601 | 9.597002 | 9.748277 | 9.388125 | 9.191574 | 9.258265 | 9.720592 | 9.650297 | 9.668547 |
hep-th/0012054
|
Edward Witten
|
Edward Witten
|
BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field
|
16 pp
|
JHEP 0204:012,2002
|
10.1088/1126-6708/2002/04/012
| null |
hep-th
| null |
The D0-D6 system, which is not supersymmetric in the absence of a
Neveu-Schwarz B-field, becomes supersymmetric if a suitable constant B-field is
turned on. On one side of the supersymmetric locus, this system has a BPS bound
state, and on the other side it does not. After compactification on T^6, this
gives a simple example in which the number of 1/8 BPS states jumps as the
moduli of the compactification are changed. The D0-D8 system in a B-field has
two different supersymmetric loci, only one of which is continuously connected
to the familiar supersymmetric D0-D8 system without a B-field. In a certain
range, the D0-D8 system also has a BPS bound state. In the limit in which the
B-field goes to infinity, supersymmetric D0-D6 and D0-D8 systems and their
bound states can be studied using noncommutative Yang-Mills theory.
|
[
{
"created": "Thu, 7 Dec 2000 07:46:54 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Dec 2000 03:52:44 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Feb 2002 14:06:59 GMT",
"version": "v3"
}
] |
2010-04-07
|
[
[
"Witten",
"Edward",
""
]
] |
The D0-D6 system, which is not supersymmetric in the absence of a Neveu-Schwarz B-field, becomes supersymmetric if a suitable constant B-field is turned on. On one side of the supersymmetric locus, this system has a BPS bound state, and on the other side it does not. After compactification on T^6, this gives a simple example in which the number of 1/8 BPS states jumps as the moduli of the compactification are changed. The D0-D8 system in a B-field has two different supersymmetric loci, only one of which is continuously connected to the familiar supersymmetric D0-D8 system without a B-field. In a certain range, the D0-D8 system also has a BPS bound state. In the limit in which the B-field goes to infinity, supersymmetric D0-D6 and D0-D8 systems and their bound states can be studied using noncommutative Yang-Mills theory.
| 5.13769 | 4.610147 | 5.44311 | 4.485112 | 4.784438 | 4.502106 | 4.49289 | 4.350115 | 4.671847 | 5.798865 | 4.548244 | 4.555728 | 4.922818 | 4.510205 | 4.609416 | 4.664868 | 4.626906 | 4.559683 | 4.65102 | 4.876482 | 4.466147 |
hep-th/0612198
|
Bo-yu Hou
|
Bo-Yu Hou, Bo-Yuan Hou
|
Affine A^{(1)}_{3} N=2 monopole as the D module and affine ADHMN sheaf
|
Identical to the version 2 and only the acknowledgement is replaced
|
Commun.Theor.Phys.49:439-450,2008
|
10.1088/0253-6102/49/2/40
| null |
hep-th
| null |
A Higgs-Yang Mills monopole scattering spherical symmetrically along light
cones is given. The left incoming anti-self-dual \alpha plane fields are
holomorphic, but the right outgoing SD \beta plane fields are antiholomorphic,
meanwhile the diffeomorphism symmetry is preserved with mutual inverse affine
rapidity parameters \mu and \mu^{-1}. The Dirac wave function scattering in
this background also factorized respectively into the (anti)holomorphic
amplitudes. The holomorphic anomaly is realized by the center term of a quasi
Hopf algebra corresponding to an integrable conform affine massive field. We
find explicit Nahm transformation matrix(Fourier-Mukai transformation) between
the Higgs YM BPS (flat) bundles (D modules) and the affinized blow up ADHMN
twistors (perverse sheafs). Thus establish the algebra for the Hecke-'t Hooft
operators in the Hecke correspondence of the geometric Langlands Program.
|
[
{
"created": "Tue, 19 Dec 2006 06:46:26 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2007 14:53:12 GMT",
"version": "v2"
},
{
"created": "Fri, 22 Jun 2007 08:34:28 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Hou",
"Bo-Yu",
""
],
[
"Hou",
"Bo-Yuan",
""
]
] |
A Higgs-Yang Mills monopole scattering spherical symmetrically along light cones is given. The left incoming anti-self-dual \alpha plane fields are holomorphic, but the right outgoing SD \beta plane fields are antiholomorphic, meanwhile the diffeomorphism symmetry is preserved with mutual inverse affine rapidity parameters \mu and \mu^{-1}. The Dirac wave function scattering in this background also factorized respectively into the (anti)holomorphic amplitudes. The holomorphic anomaly is realized by the center term of a quasi Hopf algebra corresponding to an integrable conform affine massive field. We find explicit Nahm transformation matrix(Fourier-Mukai transformation) between the Higgs YM BPS (flat) bundles (D modules) and the affinized blow up ADHMN twistors (perverse sheafs). Thus establish the algebra for the Hecke-'t Hooft operators in the Hecke correspondence of the geometric Langlands Program.
| 36.24501 | 46.321594 | 41.081387 | 37.270584 | 39.014496 | 39.749401 | 42.470524 | 39.32423 | 40.411152 | 56.080238 | 38.355045 | 35.180645 | 37.361019 | 36.565628 | 36.894711 | 35.99017 | 37.294262 | 36.263084 | 36.339554 | 37.109112 | 36.212448 |
hep-th/9902199
|
Wenfeng Chen
|
W.F. Chen (University of Winnipeg)
|
Two-dimensional Chiral Anomaly in Differential Regularization
|
9 pages, RevTex, no figures, a mistake in the massive case pointed
out by the referee is corrected
| null |
10.1016/S0370-2693(99)00691-7
| null |
hep-th
| null |
The two-dimensional chiral anomaly is calculated using differential
regularization. It is shown that the anomaly emerges naturally in the vector
and axial Ward identities on the same footing as the four-dimensional case. The
vector gauge symmetry can be achieved by an appropriate choice of the mass
scales without introducing the seagull term. We have analyzed the reason why
such a universal result can be obtained in differential regularization.
|
[
{
"created": "Fri, 26 Feb 1999 23:16:17 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Mar 1999 22:00:08 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Mar 1999 02:39:57 GMT",
"version": "v3"
},
{
"created": "Wed, 17 Mar 1999 02:58:26 GMT",
"version": "v4"
},
{
"created": "Fri, 7 May 1999 23:04:00 GMT",
"version": "v5"
},
{
"created": "Fri, 4 Jun 1999 17:31:23 GMT",
"version": "v6"
}
] |
2009-10-31
|
[
[
"Chen",
"W. F.",
"",
"University of Winnipeg"
]
] |
The two-dimensional chiral anomaly is calculated using differential regularization. It is shown that the anomaly emerges naturally in the vector and axial Ward identities on the same footing as the four-dimensional case. The vector gauge symmetry can be achieved by an appropriate choice of the mass scales without introducing the seagull term. We have analyzed the reason why such a universal result can be obtained in differential regularization.
| 15.923648 | 13.483172 | 15.120993 | 13.881394 | 14.219669 | 14.246052 | 13.85465 | 12.217719 | 13.333845 | 16.361311 | 13.596242 | 13.892033 | 14.608049 | 13.616011 | 14.193737 | 14.151681 | 13.755366 | 13.830802 | 13.67636 | 14.503463 | 13.538154 |
1911.08997
|
Nikolay Kozyrev
|
Nikolay Kozyrev
|
Partial breaking of arbitrary amount of d=3 supersymmetry
|
12 pages, no figures
|
Phys. Rev. D 102, 026011 (2020)
|
10.1103/PhysRevD.102.026011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Among the solutions of string theory and supergravity which preserve some
fraction of supersymmetry, the best known are those that leave one half of the
supersymmetry unbroken, and there is a large number of field theory models with
this pattern of supersymmetry breaking. However, a lot of brane configurations
exist which preserve only $1/4$, $1/8$ or more exotic fractions of
supersymmetry, and field theory side of these systems remains largely
unexplored. To find whether the formalism of nonlinear realizations is useful
in construction of models of this type, we consider the systems of some $N_0$
scalar and vector $N=1$, $d=3$ Goldstone supermultiplets. We find that it is
possible to construct an $SO(N_0)$ invariant theory of $N_0$ scalar multiplets
with $N_0$ broken supersymmetries. For $N_0=3$ or $N_0\geq 5$ its action is not
of Nambu-Goto type and its structure remains universal for arbitrary $N_0$. The
cases of $N_0=1,2$ correspond to the membranes in $D=4$ and $D=5$,
respectively, while for $N_0=4$ some arbitrariness in the action remains, and
with proper choice of parameters, it is possible to obtain the action of the
membrane in $D=7$ in the bosonic limit. It is also shown that the $SO(N_0)$
invariant action of $N_0$ vector multiplets with $1/N_0$ pattern of
supersymmetry breaking does not exist for arbitrary $N_0$.
|
[
{
"created": "Wed, 20 Nov 2019 16:09:41 GMT",
"version": "v1"
}
] |
2020-07-15
|
[
[
"Kozyrev",
"Nikolay",
""
]
] |
Among the solutions of string theory and supergravity which preserve some fraction of supersymmetry, the best known are those that leave one half of the supersymmetry unbroken, and there is a large number of field theory models with this pattern of supersymmetry breaking. However, a lot of brane configurations exist which preserve only $1/4$, $1/8$ or more exotic fractions of supersymmetry, and field theory side of these systems remains largely unexplored. To find whether the formalism of nonlinear realizations is useful in construction of models of this type, we consider the systems of some $N_0$ scalar and vector $N=1$, $d=3$ Goldstone supermultiplets. We find that it is possible to construct an $SO(N_0)$ invariant theory of $N_0$ scalar multiplets with $N_0$ broken supersymmetries. For $N_0=3$ or $N_0\geq 5$ its action is not of Nambu-Goto type and its structure remains universal for arbitrary $N_0$. The cases of $N_0=1,2$ correspond to the membranes in $D=4$ and $D=5$, respectively, while for $N_0=4$ some arbitrariness in the action remains, and with proper choice of parameters, it is possible to obtain the action of the membrane in $D=7$ in the bosonic limit. It is also shown that the $SO(N_0)$ invariant action of $N_0$ vector multiplets with $1/N_0$ pattern of supersymmetry breaking does not exist for arbitrary $N_0$.
| 5.544727 | 5.521749 | 5.940702 | 5.390532 | 5.552125 | 5.612403 | 5.593895 | 5.619657 | 5.621524 | 6.175701 | 5.539749 | 5.467244 | 5.638538 | 5.379119 | 5.395258 | 5.429867 | 5.344485 | 5.36404 | 5.29148 | 5.605076 | 5.489247 |
1810.09478
|
Ryo Suzuki
|
Ryo Suzuki
|
Multi-trace Correlators from Permutations as Moduli Space
|
76 pages, many figures, 1.6MB, v2: added Mathematica files and
subsections. Typo corrected, v3: references added
| null |
10.1007/JHEP05(2019)168
|
KIAS-P18085
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the $n$-point functions of scalar multi-trace operators in the
$U(N_c)$ gauge theory with adjacent scalars, such as ${\cal N}=4$ super
Yang-Mills, at tree-level by using finite group methods. We derive a set of
formulae of the general $n$-point functions, valid for general $n$ and to all
orders of $1/N_c$. In one formula, the sum over Feynman graphs becomes a
topological partition function on $\Sigma_{0,n}$ with a discrete gauge group,
which resembles closed string interactions. In another formula, a new skeleton
reduction of Feynman graphs generates connected ribbon graphs, which resembles
open string interaction. We define the moduli space ${\cal M}_{g,n}^{\rm
gauge}$ from the space of skeleton-reduced graphs in the connected $n$-point
function of gauge theory. This moduli space is a proper subset of ${\cal
M}_{g,n}$ stratified by the genus, and its top component gives a simple
triangulation of $\Sigma_{g,n}$.
|
[
{
"created": "Mon, 22 Oct 2018 18:04:16 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Apr 2019 13:39:35 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Oct 2019 06:37:04 GMT",
"version": "v3"
}
] |
2019-10-14
|
[
[
"Suzuki",
"Ryo",
""
]
] |
We study the $n$-point functions of scalar multi-trace operators in the $U(N_c)$ gauge theory with adjacent scalars, such as ${\cal N}=4$ super Yang-Mills, at tree-level by using finite group methods. We derive a set of formulae of the general $n$-point functions, valid for general $n$ and to all orders of $1/N_c$. In one formula, the sum over Feynman graphs becomes a topological partition function on $\Sigma_{0,n}$ with a discrete gauge group, which resembles closed string interactions. In another formula, a new skeleton reduction of Feynman graphs generates connected ribbon graphs, which resembles open string interaction. We define the moduli space ${\cal M}_{g,n}^{\rm gauge}$ from the space of skeleton-reduced graphs in the connected $n$-point function of gauge theory. This moduli space is a proper subset of ${\cal M}_{g,n}$ stratified by the genus, and its top component gives a simple triangulation of $\Sigma_{g,n}$.
| 9.397734 | 10.198315 | 9.865465 | 8.734162 | 9.282603 | 9.413406 | 9.179461 | 9.222361 | 8.527254 | 10.865772 | 9.217986 | 8.842943 | 9.661458 | 9.297775 | 9.018843 | 9.134078 | 9.144539 | 9.248815 | 9.108129 | 9.54871 | 9.00665 |
hep-th/0511230
|
Martin Wolf
|
Martin Wolf
|
Twistors and Aspects of Integrability of self-dual SYM Theory
|
1+7 pages, based on a talk given at the International Workshop
"Supersymmetries and Quantum Symmetries" (SQS'05), Dubna, July 27-31 2005; to
appear in the proceedings
| null | null | null |
hep-th
| null |
With the help of the Penrose-Ward transform, which relates certain
holomorphic vector bundles over the supertwistor space to the equations of
motion of self-dual SYM theory in four dimensions, we construct hidden
infinite-dimensional symmetries of the theory. We also present a new and
shorter proof (cf. hep-th/0412163) of the relation between certain deformation
algebras and hidden symmetry algebras. This article is based on a talk given by
the author at the Workshop on Supersymmetries and Quantum Symmetries 2005 at
the BLTP in Dubna, Russia.
|
[
{
"created": "Wed, 23 Nov 2005 14:57:44 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Wolf",
"Martin",
""
]
] |
With the help of the Penrose-Ward transform, which relates certain holomorphic vector bundles over the supertwistor space to the equations of motion of self-dual SYM theory in four dimensions, we construct hidden infinite-dimensional symmetries of the theory. We also present a new and shorter proof (cf. hep-th/0412163) of the relation between certain deformation algebras and hidden symmetry algebras. This article is based on a talk given by the author at the Workshop on Supersymmetries and Quantum Symmetries 2005 at the BLTP in Dubna, Russia.
| 7.575487 | 6.174855 | 8.712177 | 5.996191 | 7.037979 | 7.65508 | 6.717564 | 6.646362 | 6.738444 | 8.293323 | 6.533897 | 6.525813 | 6.552713 | 6.418573 | 6.20852 | 6.395445 | 6.247997 | 5.987916 | 6.59197 | 6.974596 | 6.562165 |
1309.5945
|
Brian Slovick
|
Brian Slovick
|
Renormalization of Einstein gravity through a derivative-dependent field
redefinition
| null |
Modern Physics Letters A 33, 1850016 (2018)
|
10.1142/S0217732318500165
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work explores an alternative solution to the problem of
renormalizability in Einstein gravity. In the proposed approach, Einstein
gravity is transformed into the renormalizable theory of four-derivative
gravity by applying a field redefinition containing an infinite number of
higher derivatives. It is also shown that the current-current amplitude is
invariant with the field redefinition, and thus the unitarity of Einstein
gravity is preserved.
|
[
{
"created": "Mon, 23 Sep 2013 17:37:47 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Nov 2013 14:23:05 GMT",
"version": "v2"
},
{
"created": "Sat, 1 Feb 2014 15:30:02 GMT",
"version": "v3"
},
{
"created": "Mon, 27 Jun 2016 14:29:11 GMT",
"version": "v4"
},
{
"created": "Wed, 22 Feb 2017 16:29:18 GMT",
"version": "v5"
},
{
"created": "Sat, 10 Mar 2018 15:50:11 GMT",
"version": "v6"
}
] |
2018-03-13
|
[
[
"Slovick",
"Brian",
""
]
] |
This work explores an alternative solution to the problem of renormalizability in Einstein gravity. In the proposed approach, Einstein gravity is transformed into the renormalizable theory of four-derivative gravity by applying a field redefinition containing an infinite number of higher derivatives. It is also shown that the current-current amplitude is invariant with the field redefinition, and thus the unitarity of Einstein gravity is preserved.
| 10.657516 | 9.062175 | 10.452673 | 9.056849 | 9.428141 | 8.924079 | 8.677402 | 9.428752 | 9.720756 | 9.115397 | 9.514564 | 9.176875 | 9.881088 | 9.59336 | 9.12009 | 9.375387 | 9.159013 | 9.222867 | 9.485961 | 9.824483 | 9.717655 |
1806.10607
|
Kurt Hinterbichler
|
James Bonifacio, Kurt Hinterbichler
|
A Universal Bound on the Strong Coupling Scale of a Gravitationally
Coupled Massive Spin-2 Particle
|
28 pages. v2 refs added
|
Phys. Rev. D 98, 085006 (2018)
|
10.1103/PhysRevD.98.085006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a model-independent upper bound on the strong coupling scale for a
massive spin-2 particle coupled to Einstein gravity. Our approach is to
directly construct tree-level scattering amplitudes for these degrees of
freedom and use them to find the maximum scale of perturbative unitarity
violation. The highest scale is $\Lambda_3=\left(m^2M_P\right)^{1/3}$, which is
saturated by ghost-free bigravity. The strong coupling scale can be further
raised to $M_P$ if the kinetic term for one particle has the wrong sign, which
uniquely gives the amplitudes of quadratic curvature gravity. We also discuss
the generalization to massive higher-spin particles coupled to gravity.
|
[
{
"created": "Wed, 27 Jun 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Aug 2018 18:06:40 GMT",
"version": "v2"
}
] |
2018-10-17
|
[
[
"Bonifacio",
"James",
""
],
[
"Hinterbichler",
"Kurt",
""
]
] |
We find a model-independent upper bound on the strong coupling scale for a massive spin-2 particle coupled to Einstein gravity. Our approach is to directly construct tree-level scattering amplitudes for these degrees of freedom and use them to find the maximum scale of perturbative unitarity violation. The highest scale is $\Lambda_3=\left(m^2M_P\right)^{1/3}$, which is saturated by ghost-free bigravity. The strong coupling scale can be further raised to $M_P$ if the kinetic term for one particle has the wrong sign, which uniquely gives the amplitudes of quadratic curvature gravity. We also discuss the generalization to massive higher-spin particles coupled to gravity.
| 8.341208 | 6.606286 | 9.07899 | 7.365144 | 7.233565 | 6.918795 | 7.524775 | 6.896394 | 7.814973 | 8.180954 | 7.429989 | 7.222756 | 8.76373 | 7.8757 | 7.600049 | 7.397226 | 7.629245 | 7.136774 | 7.778053 | 8.571733 | 7.093747 |
hep-th/9408178
|
Mitsuko Abe
|
Mitsuko Abe, A. Nakamichi and T. Ueno
|
Gravitational Instantons and Moduli Spaces of Topological 2-form Gravity
|
36pages, LaTex, TIT/HEP-247/COSMO-42
|
Phys.Rev.D50:7323-7334,1994
|
10.1103/PhysRevD.50.7323
| null |
hep-th
| null |
A topological version of four-dimensional (Euclidean) Einstein gravity which
we propose regards anti-self-dual 2-forms and an anti-self-dual part of the
frame connections as fundamental fields. The theory describes the moduli spaces
of conformally self-dual Einstein manifolds for the non-zero cosmological
constant case and Einstein-Kahlerian manifold with the vanishing real first
Chern class for the zero cosmological constant. In the non-zero cosmological
constant case, we evaluate the index of the elliptic complex associated with
the moduli space and calculate the partition function. We also clarify the
moduli space and its dimension for the zero cosmological constant case which
are related to the Plebansky's heavenly equations.
|
[
{
"created": "Thu, 1 Sep 1994 05:34:26 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 1994 06:34:25 GMT",
"version": "v2"
}
] |
2011-09-09
|
[
[
"Abe",
"Mitsuko",
""
],
[
"Nakamichi",
"A.",
""
],
[
"Ueno",
"T.",
""
]
] |
A topological version of four-dimensional (Euclidean) Einstein gravity which we propose regards anti-self-dual 2-forms and an anti-self-dual part of the frame connections as fundamental fields. The theory describes the moduli spaces of conformally self-dual Einstein manifolds for the non-zero cosmological constant case and Einstein-Kahlerian manifold with the vanishing real first Chern class for the zero cosmological constant. In the non-zero cosmological constant case, we evaluate the index of the elliptic complex associated with the moduli space and calculate the partition function. We also clarify the moduli space and its dimension for the zero cosmological constant case which are related to the Plebansky's heavenly equations.
| 9.988462 | 9.084194 | 9.56426 | 8.183428 | 8.072706 | 7.956682 | 7.892004 | 8.401733 | 8.716803 | 11.539878 | 8.363499 | 8.17938 | 9.002357 | 8.631966 | 8.661229 | 8.211364 | 8.561728 | 8.405215 | 8.403727 | 8.990785 | 8.721515 |
1210.7965
|
Lorenzo Sebastiani
|
D. Momeni, R. Myrzakulov, L. Sebastiani and M. R. Setare
|
Analytical holographic superconductors in $AdS_N$ Lifshitz topological
black holes
|
27 pages, final version accepted in IJGMMP
|
Int.J.Geom.Meth.Mod.Phys. 12 (2015) 1550015
|
10.1142/S0219887815500152
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the analytic Lifshitz solutions for a scalar field model minimally
coupled with the abelian gauge field in $N$ dimensions. We also consider the
presence of cosmological constant $\Lambda$. The Lifshitz parameter $z$
appearing in the solution plays the role of the Lorentz breaking parameter of
the model. We investigate the thermodynamical properties of the solutions and
discuss the energy issue. Furthermore, we study the hairy black hole solutions
in which the abelian gauge field breaks the symmetry near the horizon. In the
holographic picture, it is equivalent to a second order phase transition.
Explicitly we show that there exists a critical temperature which is a function
of the Lifshitz parameter $z$. The system below the critical temperature
becomes superconductor, but the critical exponent of the model remains the same
of the usual holographic superconductors without the higher order gravitational
corrections, in agreement with Ginzburg-Landau theories.
|
[
{
"created": "Tue, 30 Oct 2012 11:18:08 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Nov 2012 10:45:05 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Aug 2014 18:45:52 GMT",
"version": "v3"
},
{
"created": "Fri, 26 Sep 2014 13:15:44 GMT",
"version": "v4"
}
] |
2015-09-21
|
[
[
"Momeni",
"D.",
""
],
[
"Myrzakulov",
"R.",
""
],
[
"Sebastiani",
"L.",
""
],
[
"Setare",
"M. R.",
""
]
] |
We present the analytic Lifshitz solutions for a scalar field model minimally coupled with the abelian gauge field in $N$ dimensions. We also consider the presence of cosmological constant $\Lambda$. The Lifshitz parameter $z$ appearing in the solution plays the role of the Lorentz breaking parameter of the model. We investigate the thermodynamical properties of the solutions and discuss the energy issue. Furthermore, we study the hairy black hole solutions in which the abelian gauge field breaks the symmetry near the horizon. In the holographic picture, it is equivalent to a second order phase transition. Explicitly we show that there exists a critical temperature which is a function of the Lifshitz parameter $z$. The system below the critical temperature becomes superconductor, but the critical exponent of the model remains the same of the usual holographic superconductors without the higher order gravitational corrections, in agreement with Ginzburg-Landau theories.
| 8.201672 | 7.912853 | 8.578776 | 7.335934 | 7.906258 | 7.894254 | 7.602216 | 7.994025 | 7.57777 | 8.515737 | 8.077908 | 7.98988 | 7.748197 | 7.792756 | 7.765123 | 7.903131 | 7.804265 | 7.675118 | 7.758306 | 7.87171 | 7.886778 |
hep-th/9601072
|
Sergei Ketov
|
Murat Gunaydin (Penn State Univ., USA), Sergei V. Ketov (ITP, Univ. of
Hannover, Germany)
|
Seven-Sphere and the Exceptional N=7 and N=8 Superconformal Algebras
|
50 pages, LaTeX, macros included; revised: a few missing factors of
1/2 added and two references modified; the version to appear in Nucl. Phys. B
|
Nucl.Phys.B467:215-246,1996
|
10.1016/0550-3213(96)00088-0
|
DESY 95-255, ITP-UH-31/95, and PSU 95-166
|
hep-th
| null |
We study realizations of the exceptional non-linear (quadratically generated,
or W-type) N=8 and N=7 superconformal algebras with Spin(7) and G_2 affine
symmetry currents, respectively. Both the N=8 and N=7 algebras admit unitary
highest-weight representations in terms of a single boson and free fermions in
8 of Spin(7) and 7 of G_2, with the central charges c_8=26/5 and c_7=5,
respectively. Furthermore, we show that the general coset Ans"atze for the N=8
and N=7 algebras naturally lead to the coset spaces SO(8)xU(1)/SO(7) and
SO(7)xU(1)/G_2, respectively, as the additional consistent solutions for
certain values of the central charge. The coset space SO(8)/SO(7) is the
seven-sphere S^7, whereas the space SO(7)/G_2 represents the seven-sphere with
torsion, S^7_T. The division algebra of octonions and the associated triality
properties of SO(8) play an essential role in all these realizations. We also
comment on some possible applications of our results to string theory.
|
[
{
"created": "Mon, 15 Jan 1996 11:12:25 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 1996 15:30:44 GMT",
"version": "v2"
}
] |
2011-02-09
|
[
[
"Gunaydin",
"Murat",
"",
"Penn State Univ., USA"
],
[
"Ketov",
"Sergei V.",
"",
"ITP, Univ. of\n Hannover, Germany"
]
] |
We study realizations of the exceptional non-linear (quadratically generated, or W-type) N=8 and N=7 superconformal algebras with Spin(7) and G_2 affine symmetry currents, respectively. Both the N=8 and N=7 algebras admit unitary highest-weight representations in terms of a single boson and free fermions in 8 of Spin(7) and 7 of G_2, with the central charges c_8=26/5 and c_7=5, respectively. Furthermore, we show that the general coset Ans"atze for the N=8 and N=7 algebras naturally lead to the coset spaces SO(8)xU(1)/SO(7) and SO(7)xU(1)/G_2, respectively, as the additional consistent solutions for certain values of the central charge. The coset space SO(8)/SO(7) is the seven-sphere S^7, whereas the space SO(7)/G_2 represents the seven-sphere with torsion, S^7_T. The division algebra of octonions and the associated triality properties of SO(8) play an essential role in all these realizations. We also comment on some possible applications of our results to string theory.
| 5.251318 | 5.729828 | 6.407052 | 5.469627 | 5.927271 | 6.012452 | 5.806468 | 5.581308 | 5.416733 | 6.483611 | 5.618631 | 5.211753 | 5.672312 | 5.243206 | 5.132035 | 5.177824 | 5.332002 | 5.189617 | 5.369113 | 5.641597 | 5.098803 |
hep-th/0310067
|
Mattias N. R. Wohlfarth
|
Mattias N.R. Wohlfarth
|
Gravity a la Born-Infeld
|
21 pages, 2 figures, new appendix B with corrigendum: Class. Quantum
Grav. 21 (2004) 5297
|
Class. Quant. Grav. 21 (2004) 1927
|
10.1088/0264-9381/21/8/001
|
DAMTP-2003-95
|
hep-th gr-qc
| null |
A simple technique for the construction of gravity theories in Born-Infeld
style is presented, and the properties of some of these novel theories are
investigated. They regularize the positive energy Schwarzschild singularity,
and a large class of models allows for the cancellation of ghosts. The possible
correspondence to low energy string theory is discussed. By including curvature
corrections to all orders in alpha', the new theories nicely illustrate a
mechanism that string theory might use to regularize gravitational
singularities.
|
[
{
"created": "Tue, 7 Oct 2003 14:41:32 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Oct 2003 18:50:13 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Nov 2004 15:17:58 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Wohlfarth",
"Mattias N. R.",
""
]
] |
A simple technique for the construction of gravity theories in Born-Infeld style is presented, and the properties of some of these novel theories are investigated. They regularize the positive energy Schwarzschild singularity, and a large class of models allows for the cancellation of ghosts. The possible correspondence to low energy string theory is discussed. By including curvature corrections to all orders in alpha', the new theories nicely illustrate a mechanism that string theory might use to regularize gravitational singularities.
| 18.893473 | 17.264973 | 16.345022 | 15.704765 | 15.798506 | 16.402357 | 15.923641 | 15.803523 | 14.974362 | 16.968147 | 15.382864 | 16.251545 | 15.901504 | 15.375579 | 14.995453 | 14.850147 | 14.946539 | 15.734227 | 14.972392 | 15.889406 | 15.166942 |
hep-th/9607089
|
Martin Rocek
|
F. Gonzalez-Rey, U. Lindstrom, M. Rocek and R. von Unge
|
On N=2 low energy effective actions
|
9 pages, Latex
|
Phys.Lett. B388 (1996) 581-587
|
10.1016/S0370-2693(96)01174-4
|
ITP-SB-96-34, USITP-96-08
|
hep-th
| null |
We propose a Wilsonian action compatible with special geometry and higher
dimension N=2 corrections, and show that the holomorphic contribution F to the
low energy effective action is independent of the infrared cutoff. We further
show that for asymptotically free SU(2) super Yang-Mills theories, the infrared
cutoff can be tuned to cancel leading corrections to F. We also classify all
local higher-dimensional contributions to the N=2 superspace effective action
that produce corrections to the Kahler potential when reduced to N=1
superspace.
|
[
{
"created": "Thu, 11 Jul 1996 17:04:37 GMT",
"version": "v1"
}
] |
2019-08-15
|
[
[
"Gonzalez-Rey",
"F.",
""
],
[
"Lindstrom",
"U.",
""
],
[
"Rocek",
"M.",
""
],
[
"von Unge",
"R.",
""
]
] |
We propose a Wilsonian action compatible with special geometry and higher dimension N=2 corrections, and show that the holomorphic contribution F to the low energy effective action is independent of the infrared cutoff. We further show that for asymptotically free SU(2) super Yang-Mills theories, the infrared cutoff can be tuned to cancel leading corrections to F. We also classify all local higher-dimensional contributions to the N=2 superspace effective action that produce corrections to the Kahler potential when reduced to N=1 superspace.
| 13.124614 | 12.61485 | 15.504253 | 11.835169 | 12.845341 | 13.434858 | 13.223922 | 13.142497 | 12.253633 | 16.582832 | 11.697048 | 12.121646 | 13.840839 | 12.85109 | 12.684451 | 11.809762 | 12.342506 | 12.272599 | 12.428425 | 13.681421 | 12.48176 |
1805.11143
|
Luc\'ia C\'ordova
|
Luc\'ia C\'ordova and Pedro Vieira
|
Adding flavour to the S-matrix bootstrap
|
37 pages, 17 figures; new Yang Baxter solution identified with
S-matrix previously found by Hortacsu, Schroer and Thun; references added;
signs in equations 13 and 35 corrected
| null |
10.1007/JHEP12(2018)063
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the S-matrices of gapped, unitary, Lorentz invariant quantum field
theories with a global O($N$) symmetry in 1+1 dimensions. We extremize various
cubic and quartic couplings in the two-to-two scattering amplitudes of vector
particles. Saturating these bounds, we encounter known integrable models with
O($N$) symmetry such as the O($N$) Gross-Neveu and non-linear sigma models and
the scattering of kinks in the sine-Gordon model. We also considered more
general mass spectra for which we move away from the integrable realm. In this
regime we find (numerically, through a large N analysis and sometimes even
analytically) that the S-matrices saturating the various coupling bounds have
an extremely rich structure exhibiting infinite resonances and virtual states
in the various kinematical sheets. They are rather exotic in that they admit no
particle production yet they do not obey Yang-Baxter equations. We discuss
their physical (ir)relevance and speculate, based on some preliminary numerics,
that they might be close to more realistic realistic theories with particle
production.
|
[
{
"created": "Mon, 28 May 2018 19:36:12 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Jul 2018 22:42:42 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Oct 2018 00:48:30 GMT",
"version": "v3"
},
{
"created": "Fri, 5 Jul 2019 15:34:58 GMT",
"version": "v4"
}
] |
2019-07-08
|
[
[
"Córdova",
"Lucía",
""
],
[
"Vieira",
"Pedro",
""
]
] |
We explore the S-matrices of gapped, unitary, Lorentz invariant quantum field theories with a global O($N$) symmetry in 1+1 dimensions. We extremize various cubic and quartic couplings in the two-to-two scattering amplitudes of vector particles. Saturating these bounds, we encounter known integrable models with O($N$) symmetry such as the O($N$) Gross-Neveu and non-linear sigma models and the scattering of kinks in the sine-Gordon model. We also considered more general mass spectra for which we move away from the integrable realm. In this regime we find (numerically, through a large N analysis and sometimes even analytically) that the S-matrices saturating the various coupling bounds have an extremely rich structure exhibiting infinite resonances and virtual states in the various kinematical sheets. They are rather exotic in that they admit no particle production yet they do not obey Yang-Baxter equations. We discuss their physical (ir)relevance and speculate, based on some preliminary numerics, that they might be close to more realistic realistic theories with particle production.
| 9.957551 | 9.97711 | 11.13496 | 9.903044 | 10.328387 | 10.097261 | 9.849092 | 10.335088 | 9.349916 | 11.93432 | 9.532819 | 9.85577 | 10.316258 | 9.634366 | 9.684818 | 9.376319 | 9.702149 | 9.637955 | 9.679589 | 10.133953 | 9.510976 |
1412.5537
|
I\~naki Garc\'ia-Etxebarria
|
I\~naki Garc\'ia-Etxebarria, Thomas W. Grimm, Irene Valenzuela
|
Special Points of Inflation in Flux Compactifications
|
41 pages, 3 figures
| null |
10.1016/j.nuclphysb.2015.08.008
|
IFT-UAM/CSIC-14-130, MPP-2014-379
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the realisation of axion inflation models in the complex structure
moduli spaces of Calabi-Yau threefolds and fourfolds. The axions arise close to
special points of these moduli spaces that admit discrete monodromy symmetries
of infinite order. Examples include the large complex structure point and
conifold point, but can be of more general nature. In Type IIB and F-theory
compactifications the geometric axions receive a scalar potential from a
flux-induced superpotential. We find toy variants of various inflationary
potentials including the ones for natural inflation of one or multiple axions,
or axion monodromy inflation with polynomial potential. Interesting examples
are also given by mirror geometries of torus fibrations with Mordell-Weil group
of rank $N-1$ or an $N$-section, which admit an axion if $N>3$.
|
[
{
"created": "Wed, 17 Dec 2014 19:39:42 GMT",
"version": "v1"
}
] |
2015-12-09
|
[
[
"García-Etxebarria",
"Iñaki",
""
],
[
"Grimm",
"Thomas W.",
""
],
[
"Valenzuela",
"Irene",
""
]
] |
We study the realisation of axion inflation models in the complex structure moduli spaces of Calabi-Yau threefolds and fourfolds. The axions arise close to special points of these moduli spaces that admit discrete monodromy symmetries of infinite order. Examples include the large complex structure point and conifold point, but can be of more general nature. In Type IIB and F-theory compactifications the geometric axions receive a scalar potential from a flux-induced superpotential. We find toy variants of various inflationary potentials including the ones for natural inflation of one or multiple axions, or axion monodromy inflation with polynomial potential. Interesting examples are also given by mirror geometries of torus fibrations with Mordell-Weil group of rank $N-1$ or an $N$-section, which admit an axion if $N>3$.
| 10.335464 | 10.278712 | 10.793701 | 8.99367 | 9.725642 | 9.434101 | 9.728727 | 9.75364 | 9.681334 | 12.486397 | 9.494975 | 9.92362 | 10.00191 | 9.224193 | 9.385525 | 9.634683 | 9.551501 | 9.671564 | 9.489385 | 10.292397 | 9.551782 |
hep-th/9704129
|
Eugene Perevalov
|
Eugene Perevalov and Harald Skarke
|
Enhanced Gauge Symmetry in Type II and F-Theory Compactifications:
Dynkin Diagrams from Polyhedra
|
26 pages, LaTeX2e, 17 figures, references added
|
Nucl.Phys.B505:679-700,1997
|
10.1016/S0550-3213(97)00477-X
|
UTTG-15-97
|
hep-th
| null |
We explain the observation by Candelas and Font that the Dynkin diagrams of
nonabelian gauge groups occurring in type IIA and F-theory can be read off from
the polyhedron $\Delta^*$ that provides the toric description of the Calabi-Yau
manifold used for compacification. We show how the intersection pattern of
toric divisors corresponding to the degeneration of elliptic fibers follows the
ADE classification of singularities and the Kodaira classification of
degenerations. We treat in detail the cases of elliptic K3 surfaces and K3
fibered threefolds where the fiber is again elliptic. We also explain how even
the occurrence of monodromy and non-simply laced groups in the latter case is
visible in the toric picture. These methods also work in the fourfold case.
|
[
{
"created": "Wed, 16 Apr 1997 21:54:34 GMT",
"version": "v1"
},
{
"created": "Mon, 12 May 1997 19:28:19 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Perevalov",
"Eugene",
""
],
[
"Skarke",
"Harald",
""
]
] |
We explain the observation by Candelas and Font that the Dynkin diagrams of nonabelian gauge groups occurring in type IIA and F-theory can be read off from the polyhedron $\Delta^*$ that provides the toric description of the Calabi-Yau manifold used for compacification. We show how the intersection pattern of toric divisors corresponding to the degeneration of elliptic fibers follows the ADE classification of singularities and the Kodaira classification of degenerations. We treat in detail the cases of elliptic K3 surfaces and K3 fibered threefolds where the fiber is again elliptic. We also explain how even the occurrence of monodromy and non-simply laced groups in the latter case is visible in the toric picture. These methods also work in the fourfold case.
| 9.549522 | 9.251452 | 11.890154 | 8.678552 | 9.694246 | 9.778778 | 9.898091 | 8.900716 | 9.646889 | 13.607388 | 8.845737 | 8.952686 | 9.51264 | 8.525723 | 8.781556 | 8.573833 | 8.934578 | 8.635046 | 8.816468 | 10.161069 | 8.418115 |
0909.4151
|
Josep M. Pons
|
Josep M. Pons
|
Substituting fields within the action: consistency issues and some
applications
|
17 pages
| null |
10.1063/1.3525242
|
UB-ECM-PF-09/24
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In field theory, as well as in mechanics, the substitution of some fields in
terms of other fields at the level of the action raises an issue of consistency
with respect to the equations of motion. We discuss this issue and give an
expression which neatly displays the difference between doing the substitution
at the level of the Lagrangian or at the level of the equations of motion. Both
operations do not commute in general. A very relevant exception is the case of
auxiliary variables, which are discussed in detail together with some of their
relevant applications. We discuss the conditions for the preservation of
symmetries - Noether as well as non-Noether - under the reduction of degrees of
freedom provided by the mechanism of substitution. We also examine how the
gauge fixing procedures fit in our framework and give simple examples on the
issue of consistency in this case.
|
[
{
"created": "Wed, 23 Sep 2009 08:32:23 GMT",
"version": "v1"
}
] |
2015-05-14
|
[
[
"Pons",
"Josep M.",
""
]
] |
In field theory, as well as in mechanics, the substitution of some fields in terms of other fields at the level of the action raises an issue of consistency with respect to the equations of motion. We discuss this issue and give an expression which neatly displays the difference between doing the substitution at the level of the Lagrangian or at the level of the equations of motion. Both operations do not commute in general. A very relevant exception is the case of auxiliary variables, which are discussed in detail together with some of their relevant applications. We discuss the conditions for the preservation of symmetries - Noether as well as non-Noether - under the reduction of degrees of freedom provided by the mechanism of substitution. We also examine how the gauge fixing procedures fit in our framework and give simple examples on the issue of consistency in this case.
| 10.306224 | 9.871938 | 10.108133 | 9.123076 | 9.734458 | 9.760012 | 9.667963 | 9.57857 | 9.067695 | 10.554333 | 9.220991 | 9.273227 | 9.472782 | 9.320759 | 9.241114 | 9.260955 | 9.518432 | 9.489885 | 9.404311 | 9.91639 | 9.320025 |
0708.0782
|
Rodrigo Olea
|
Georgios Kofinas and Rodrigo Olea
|
Universal regularization prescription for Lovelock AdS gravity
|
14 pages, no figures. A few references added, version accepted for
publication in JHEP
|
JHEP 0711:069,2007
|
10.1088/1126-6708/2007/11/069
|
IFUM-901-FT
|
hep-th gr-qc
| null |
A definite form for the boundary term that produces the finiteness of both
the conserved quantities and Euclidean action for any Lovelock gravity with AdS
asymptotics is presented. This prescription merely tells even from odd bulk
dimensions, regardless the particular theory considered, what is valid even for
Einstein-Hilbert and Einstein-Gauss-Bonnet AdS gravity. The boundary term is a
given polynomial of the boundary extrinsic and intrinsic curvatures (also
referred to as Kounterterms series). Only the coupling constant of the boundary
term changes accordingly, such that it always preserves a well-posed
variational principle for boundary conditions suitable for asymptotically AdS
spaces. The background-independent conserved charges associated to asymptotic
symmetries are found. In odd bulk dimensions, this regularization produces a
generalized formula for the vacuum energy in Lovelock AdS gravity. The standard
entropy for asymptotically AdS black holes is recovered directly from the
regularization of the Euclidean action, and not only from the first law of
thermodynamics associated to the conserved quantities.
|
[
{
"created": "Mon, 6 Aug 2007 14:43:56 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Nov 2007 16:15:58 GMT",
"version": "v2"
}
] |
2009-04-03
|
[
[
"Kofinas",
"Georgios",
""
],
[
"Olea",
"Rodrigo",
""
]
] |
A definite form for the boundary term that produces the finiteness of both the conserved quantities and Euclidean action for any Lovelock gravity with AdS asymptotics is presented. This prescription merely tells even from odd bulk dimensions, regardless the particular theory considered, what is valid even for Einstein-Hilbert and Einstein-Gauss-Bonnet AdS gravity. The boundary term is a given polynomial of the boundary extrinsic and intrinsic curvatures (also referred to as Kounterterms series). Only the coupling constant of the boundary term changes accordingly, such that it always preserves a well-posed variational principle for boundary conditions suitable for asymptotically AdS spaces. The background-independent conserved charges associated to asymptotic symmetries are found. In odd bulk dimensions, this regularization produces a generalized formula for the vacuum energy in Lovelock AdS gravity. The standard entropy for asymptotically AdS black holes is recovered directly from the regularization of the Euclidean action, and not only from the first law of thermodynamics associated to the conserved quantities.
| 10.09416 | 10.583603 | 11.321462 | 9.491488 | 11.126171 | 11.403901 | 10.160279 | 9.457998 | 10.175931 | 12.050931 | 9.781 | 10.276828 | 10.236948 | 9.954724 | 10.312406 | 10.179524 | 10.888438 | 10.06133 | 10.117318 | 10.102963 | 10.137341 |
2407.21746
|
Wilfredo Yupanqui Carpio
|
Nana Cabo Bizet, Octavio Obreg\'on, Wilfredo Yupanqui
|
Energy-time uncertainty relation from entropy measures
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Generalized Uncertainty Principle (GUP) modifies the Heisenberg
Uncertainty Principle (HUP) between position and momentum by introducing a
nonzero minimum uncertainty in position. In a previous study, we demonstrated
the emergence of GUP from non-extensive entropies, particularly for $S_\pm$
dependent only on the probability. In this new research, we derive a
generalized energy-time uncertainty relation from these entropies.
Consequently, we observe that the dispersion relation undergoes modification
due to the non-extensivity introduced by the entropies $S_{+}$ and $S_{-}$.
These modifications play a significant role at the Planck scale, but are
negligible in the classical regime of large distances and low energies.
Moreover, the modified uncertainty relation results in a maximum uncertainty in
energy, attributed to the negative deformation parameter associated with
entropy $S_{+}$. Conversely, the deformation parameter linked with $S_{-}$
leads to the emergence of a minimum time interval. In the Planck regime, the
minimum time interval is on the order of the Planck time, while the maximum
uncertainty in energy reaches the Planck energy. These findings imply that
quantum gravity effects can be connected with non-extensive statistics.
|
[
{
"created": "Wed, 31 Jul 2024 17:04:11 GMT",
"version": "v1"
}
] |
2024-08-01
|
[
[
"Bizet",
"Nana Cabo",
""
],
[
"Obregón",
"Octavio",
""
],
[
"Yupanqui",
"Wilfredo",
""
]
] |
The Generalized Uncertainty Principle (GUP) modifies the Heisenberg Uncertainty Principle (HUP) between position and momentum by introducing a nonzero minimum uncertainty in position. In a previous study, we demonstrated the emergence of GUP from non-extensive entropies, particularly for $S_\pm$ dependent only on the probability. In this new research, we derive a generalized energy-time uncertainty relation from these entropies. Consequently, we observe that the dispersion relation undergoes modification due to the non-extensivity introduced by the entropies $S_{+}$ and $S_{-}$. These modifications play a significant role at the Planck scale, but are negligible in the classical regime of large distances and low energies. Moreover, the modified uncertainty relation results in a maximum uncertainty in energy, attributed to the negative deformation parameter associated with entropy $S_{+}$. Conversely, the deformation parameter linked with $S_{-}$ leads to the emergence of a minimum time interval. In the Planck regime, the minimum time interval is on the order of the Planck time, while the maximum uncertainty in energy reaches the Planck energy. These findings imply that quantum gravity effects can be connected with non-extensive statistics.
| 6.144689 | 6.198881 | 5.825905 | 5.827612 | 5.853719 | 6.47028 | 6.187787 | 5.80208 | 5.875875 | 6.177681 | 6.131874 | 6.231019 | 5.8721 | 5.81217 | 6.083251 | 6.025916 | 6.198263 | 5.960695 | 5.974237 | 5.889939 | 5.889608 |
hep-th/9604043
|
Esperanza Lopez
|
C. Gomez, R. Hernandez and E. Lopez
|
Integrability, Duality and Strings
|
43 pages, Latex, lecture notes based on a talk of C. Gomez at the
"Quantum Field Theory Workshop", Aug. 1996, Bulgary
| null | null | null |
hep-th
| null |
In these notes evidence is presented for intepreting the moduli space of the
integrable model associated to $N\!=\!2$ gauge theories with $N\!=\!4$ matter
content, in terms of Calabi-Yau manifolds. We restrict to the case of gauge
group $SU(2)$, which is compared with the moduli space of the Calabi-Yau
manifold $WP_{11226}^{12}$ appearing in the rank three dual pair $(K^{3}\times
T^{2} / WP_{11226}^{12})$. The singularity loci of both spaces are maped in a
one to one way and, in the weak coupling limit, $N\!=\!2$ $SU(2)$ pure
Yang-Mills is obtained in both cases by the same type of blow up. Comments on
the interpretation of the strong coupling locus from the perspective of the
integrable system are done.
|
[
{
"created": "Tue, 9 Apr 1996 02:47:51 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gomez",
"C.",
""
],
[
"Hernandez",
"R.",
""
],
[
"Lopez",
"E.",
""
]
] |
In these notes evidence is presented for intepreting the moduli space of the integrable model associated to $N\!=\!2$ gauge theories with $N\!=\!4$ matter content, in terms of Calabi-Yau manifolds. We restrict to the case of gauge group $SU(2)$, which is compared with the moduli space of the Calabi-Yau manifold $WP_{11226}^{12}$ appearing in the rank three dual pair $(K^{3}\times T^{2} / WP_{11226}^{12})$. The singularity loci of both spaces are maped in a one to one way and, in the weak coupling limit, $N\!=\!2$ $SU(2)$ pure Yang-Mills is obtained in both cases by the same type of blow up. Comments on the interpretation of the strong coupling locus from the perspective of the integrable system are done.
| 8.937162 | 8.310491 | 10.715977 | 8.461547 | 8.125382 | 7.924851 | 8.53041 | 7.627625 | 8.004764 | 10.989141 | 7.755558 | 8.034671 | 9.166724 | 8.425906 | 7.921708 | 8.545402 | 8.459749 | 8.278117 | 8.37453 | 8.588899 | 8.30244 |
2111.00544
|
Natalia Pinzani Fokeeva
|
Raja Marjieh, Natalia Pinzani-Fokeeva, Bar Tavor, Amos Yarom
|
On black hole supertranslations and hydrodynamic enstrophy
|
5 pages, reference added, matches published version
| null |
10.1103/PhysRevLett.128.241602
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study the relation between approximate horizon symmetries of AdS black
branes and approximately conserved currents in their dual hydrodynamic
description. We argue that the existence of an approximately conserved
enstrophy current unique to $2+1$ dimensional fluid flow implies that AdS${}_4$
black branes possess a special class of approximate supertranslations (which we
identify).
|
[
{
"created": "Sun, 31 Oct 2021 17:00:23 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jul 2022 20:33:35 GMT",
"version": "v2"
}
] |
2022-07-08
|
[
[
"Marjieh",
"Raja",
""
],
[
"Pinzani-Fokeeva",
"Natalia",
""
],
[
"Tavor",
"Bar",
""
],
[
"Yarom",
"Amos",
""
]
] |
We study the relation between approximate horizon symmetries of AdS black branes and approximately conserved currents in their dual hydrodynamic description. We argue that the existence of an approximately conserved enstrophy current unique to $2+1$ dimensional fluid flow implies that AdS${}_4$ black branes possess a special class of approximate supertranslations (which we identify).
| 11.255995 | 7.495558 | 9.762574 | 8.140673 | 9.111677 | 8.672831 | 9.390074 | 8.205808 | 8.137012 | 10.809978 | 9.154044 | 8.880786 | 9.689534 | 8.756194 | 9.03635 | 8.454649 | 9.156471 | 8.921122 | 8.8685 | 10.123891 | 9.113998 |
1706.07752
|
Antonio Amariti
|
Antonio Amariti, Luca Cassia, Silvia Penati
|
c-extremization from toric geometry
|
39 pages, 21 figures, minor changes
| null |
10.1016/j.nuclphysb.2018.01.025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a geometric formulation of the 2d central charge $c_r$ from
infinite families of 4d $\mathcal{N}=1$ superconformal field theories
topologically twisted on constant curvature Riemann surfaces. They correspond
to toric quiver gauge theories and are associated to D3 branes probing five
dimensional Sasaki-Einstein geometries in the AdS/CFT correspondence. We show
that $c_r$ can be expressed in terms of the areas of the toric diagram
describing the moduli space of the 4d theory, both for toric geometries with
smooth and singular horizons. We also study the relation between a-maximization
in 4d and c-extremization in 2d, giving further evidences of the mixing of the
baryonic symmetries with the exact R-current in two dimensions.
|
[
{
"created": "Fri, 23 Jun 2017 15:41:06 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jul 2017 04:50:13 GMT",
"version": "v2"
}
] |
2018-03-14
|
[
[
"Amariti",
"Antonio",
""
],
[
"Cassia",
"Luca",
""
],
[
"Penati",
"Silvia",
""
]
] |
We derive a geometric formulation of the 2d central charge $c_r$ from infinite families of 4d $\mathcal{N}=1$ superconformal field theories topologically twisted on constant curvature Riemann surfaces. They correspond to toric quiver gauge theories and are associated to D3 branes probing five dimensional Sasaki-Einstein geometries in the AdS/CFT correspondence. We show that $c_r$ can be expressed in terms of the areas of the toric diagram describing the moduli space of the 4d theory, both for toric geometries with smooth and singular horizons. We also study the relation between a-maximization in 4d and c-extremization in 2d, giving further evidences of the mixing of the baryonic symmetries with the exact R-current in two dimensions.
| 6.77297 | 6.893007 | 7.854978 | 6.420519 | 6.562619 | 6.74479 | 6.74847 | 6.655553 | 6.283025 | 9.03283 | 6.605865 | 6.846501 | 7.108842 | 6.81989 | 6.957075 | 6.902498 | 6.955633 | 6.733604 | 6.967862 | 7.162372 | 6.578616 |
hep-th/9305035
|
Nathan Poliatzky
|
Nathan Poliatzky
|
Soliton Solutions of Relativistic Hartree's Equations
|
36 pages, 8 figures (available upon request), LaTeX, Preprint
ETH-TH/93-13
|
J.Phys. A26 (1993) 3597-3626
|
10.1088/0305-4470/26/14/023
| null |
hep-th nucl-th
| null |
We study a model based on $N$ scalar complex fields coupled to a scalar real
field, where all fields are treated classically as c-numbers. The model
describes a composite particle made up of $N$ constituents with bare mass $m_0$
interacting both with each other and with themselves via the exchange of a
particle of mass $\mu_0$. The stationary states of the composite particle are
described by relativistic Hartree's equations. Since the self-interaction is
included, the case of an elementary particle is a nontrivial special case of
this model. Using an integral transform method we derive the exact ground state
solution and prove its local stability. The mass of the composite particle is
calculated as the total energy in the rest frame. For the case of a massless
exchange particle the mass formula is given in closed form. The mass, as a
function of the coupling constant, possesses a well pronounced minimum for each
value of $\mu_0/m_0$, while the absolute minimum occurs at $\mu_0=0$.
|
[
{
"created": "Mon, 10 May 1993 11:05:32 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Poliatzky",
"Nathan",
""
]
] |
We study a model based on $N$ scalar complex fields coupled to a scalar real field, where all fields are treated classically as c-numbers. The model describes a composite particle made up of $N$ constituents with bare mass $m_0$ interacting both with each other and with themselves via the exchange of a particle of mass $\mu_0$. The stationary states of the composite particle are described by relativistic Hartree's equations. Since the self-interaction is included, the case of an elementary particle is a nontrivial special case of this model. Using an integral transform method we derive the exact ground state solution and prove its local stability. The mass of the composite particle is calculated as the total energy in the rest frame. For the case of a massless exchange particle the mass formula is given in closed form. The mass, as a function of the coupling constant, possesses a well pronounced minimum for each value of $\mu_0/m_0$, while the absolute minimum occurs at $\mu_0=0$.
| 7.475852 | 8.101134 | 7.305683 | 7.283844 | 7.92113 | 8.159577 | 8.376707 | 7.459066 | 7.422263 | 8.774041 | 7.602703 | 7.397583 | 7.496642 | 7.51753 | 7.612398 | 7.469749 | 7.45586 | 7.348663 | 7.297248 | 7.351135 | 7.282919 |
2401.13567
|
Rui Sun
|
Rui Sun
|
Self-mirror Large Volume Scenario with de Sitter
|
typos corrected, discussion expanded, references added
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The large volume scenario has been an important issue for flux
compactifications with T-dual non-geometric fluxes. As one solution to this
issue, to naturally embed duality in string compactification, we investigate in
self-mirror Calabi-Yau flux compactification with large volume scenario
visited. In particular, at the large volume limit, the non-perturbative terms
contribute a special dominant uplift term in the order of
$\mathcal{O}\left(\frac{1}{\mathcal{V}^2}\right)$, while the
$\alpha'$-corrections are trivialized due to the self-mirror Calabi-Yau
construction. These in total contribute to effective scalar potential in the
same order as from F-term $\frac{D W. DW}{\mathcal{V}^2}$, and essentially give
rise to de Sitter vacua allowed by swampland conjectures.
|
[
{
"created": "Wed, 24 Jan 2024 16:25:02 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Feb 2024 15:00:45 GMT",
"version": "v2"
}
] |
2024-02-14
|
[
[
"Sun",
"Rui",
""
]
] |
The large volume scenario has been an important issue for flux compactifications with T-dual non-geometric fluxes. As one solution to this issue, to naturally embed duality in string compactification, we investigate in self-mirror Calabi-Yau flux compactification with large volume scenario visited. In particular, at the large volume limit, the non-perturbative terms contribute a special dominant uplift term in the order of $\mathcal{O}\left(\frac{1}{\mathcal{V}^2}\right)$, while the $\alpha'$-corrections are trivialized due to the self-mirror Calabi-Yau construction. These in total contribute to effective scalar potential in the same order as from F-term $\frac{D W. DW}{\mathcal{V}^2}$, and essentially give rise to de Sitter vacua allowed by swampland conjectures.
| 11.866583 | 12.414011 | 13.376889 | 11.253944 | 12.165259 | 12.662264 | 12.117794 | 11.743973 | 11.561407 | 13.934662 | 11.711696 | 11.166253 | 11.383975 | 11.07152 | 10.995506 | 10.982831 | 11.196621 | 11.264706 | 11.190264 | 11.796432 | 11.302083 |
0803.3317
|
Masato Nozawa
|
Masato Nozawa and Tsutomu Kobayashi
|
Quasinormal modes of black holes localized on the Randall-Sundrum
2-brane
|
10 pages, 7 figures; references added, version to appear in PRD
|
Phys.Rev.D78:064006,2008
|
10.1103/PhysRevD.78.064006
|
WU-AP/283/08
|
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate conformal scalar, electromagnetic, and massless Dirac
quasinormal modes of a brane-localized black hole. The background solution is
the four-dimensional black hole on a 2-brane that has been constructed by
Emparan, Horowitz, and Myers in the context of a lower dimensional version of
the Randall-Sundrum model. The conformally transformed metric admits a Killing
tensor, allowing us to obtain separable field equations. We find that the
radial equations take the same form as in the four-dimensional "braneless"
Schwarzschild black hole. The angular equations are, however, different from
the standard ones, leading to a different prediction for quasinormal
frequencies.
|
[
{
"created": "Sun, 23 Mar 2008 13:13:47 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Mar 2008 15:29:07 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Aug 2008 08:47:47 GMT",
"version": "v3"
}
] |
2009-02-20
|
[
[
"Nozawa",
"Masato",
""
],
[
"Kobayashi",
"Tsutomu",
""
]
] |
We investigate conformal scalar, electromagnetic, and massless Dirac quasinormal modes of a brane-localized black hole. The background solution is the four-dimensional black hole on a 2-brane that has been constructed by Emparan, Horowitz, and Myers in the context of a lower dimensional version of the Randall-Sundrum model. The conformally transformed metric admits a Killing tensor, allowing us to obtain separable field equations. We find that the radial equations take the same form as in the four-dimensional "braneless" Schwarzschild black hole. The angular equations are, however, different from the standard ones, leading to a different prediction for quasinormal frequencies.
| 6.899587 | 6.864489 | 6.543853 | 6.353197 | 6.922837 | 6.352208 | 6.566704 | 6.396475 | 7.045199 | 7.623337 | 6.850647 | 6.974287 | 6.548631 | 6.691664 | 6.629941 | 6.597874 | 6.793857 | 6.818873 | 6.970719 | 6.482908 | 6.991897 |
hep-th/9802042
|
Juan Maldacena
|
Nissan Itzhaki, Juan M. Maldacena, Jacob Sonnenschein and Shimon
Yankielowicz
|
Supergravity and The Large N Limit of Theories With Sixteen Supercharges
|
24 pages, latex. v2: reference added, v3: typos corrected
|
Phys. Rev. D 58, 046004 (1998)
|
10.1103/PhysRevD.58.046004
|
TAUP-2474-98, HUTP-98/A003
|
hep-th
| null |
We consider field theories with sixteen supersymmetries, which includes U(N)
Yang-Mills theories in various dimensions, and argue that their large N limit
is related to certain supergravity solutions. We study this by considering a
system of D-branes in string theory and then taking a limit where the brane
worldvolume theory decouples from gravity. At the same time we study the
corresponding D-brane supergravity solution and argue that we can trust it in
certain regions where the curvature (and the effective string coupling, where
appropriate) are small. The supergravity solutions typically have several
weakly coupled regions and interpolate between different limits of
string-M-theory.
|
[
{
"created": "Sat, 7 Feb 1998 00:31:26 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Feb 1998 17:40:29 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Sep 2000 12:33:30 GMT",
"version": "v3"
}
] |
2016-08-25
|
[
[
"Itzhaki",
"Nissan",
""
],
[
"Maldacena",
"Juan M.",
""
],
[
"Sonnenschein",
"Jacob",
""
],
[
"Yankielowicz",
"Shimon",
""
]
] |
We consider field theories with sixteen supersymmetries, which includes U(N) Yang-Mills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions. We study this by considering a system of D-branes in string theory and then taking a limit where the brane worldvolume theory decouples from gravity. At the same time we study the corresponding D-brane supergravity solution and argue that we can trust it in certain regions where the curvature (and the effective string coupling, where appropriate) are small. The supergravity solutions typically have several weakly coupled regions and interpolate between different limits of string-M-theory.
| 9.502481 | 9.269747 | 11.522142 | 9.794811 | 9.279767 | 9.928295 | 9.874085 | 8.461352 | 9.780958 | 11.28769 | 8.695578 | 9.310562 | 9.913324 | 9.446283 | 9.539747 | 9.240677 | 9.135218 | 9.231671 | 9.233541 | 9.352566 | 9.118427 |
2210.03323
|
Kiyoharu Kawana
|
Sinya Aoki and Kiyoharu Kawana
|
Entropy and its conservation in expanding Universe
|
Published version in IJMPA, 6 pages, 1 figure
| null | null |
YITP-22-115
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate properties of the conserved charge in general relativity,
recently proposed by one of the present authors with his collaborators, in the
inflation era, the matter dominated era and the radiation dominated era of the
expanding Universe. We show that the conserved charge in the inflation era
becomes the Bekenstein-Hawking entropy for de Sitter space, and it becomes the
matter entropy and the radiation entropy in the matter and radiation dominated
eras, respectively, while the charge itself is always conserved. These
properties are qualitatively confirmed by a numerical analysis of a model with
a scalar field and radiations. Results in this paper provide more evidences on
the interpretation that the conserved charge in general relativity corresponds
to entropy.
|
[
{
"created": "Fri, 7 Oct 2022 04:49:57 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jun 2023 02:37:16 GMT",
"version": "v2"
}
] |
2023-06-16
|
[
[
"Aoki",
"Sinya",
""
],
[
"Kawana",
"Kiyoharu",
""
]
] |
We investigate properties of the conserved charge in general relativity, recently proposed by one of the present authors with his collaborators, in the inflation era, the matter dominated era and the radiation dominated era of the expanding Universe. We show that the conserved charge in the inflation era becomes the Bekenstein-Hawking entropy for de Sitter space, and it becomes the matter entropy and the radiation entropy in the matter and radiation dominated eras, respectively, while the charge itself is always conserved. These properties are qualitatively confirmed by a numerical analysis of a model with a scalar field and radiations. Results in this paper provide more evidences on the interpretation that the conserved charge in general relativity corresponds to entropy.
| 6.473511 | 6.231007 | 5.915219 | 5.71384 | 5.847297 | 6.315091 | 6.631886 | 5.949498 | 6.017168 | 6.16397 | 6.098207 | 6.222633 | 6.199594 | 5.98355 | 6.094394 | 5.907042 | 6.105441 | 6.054901 | 6.183316 | 6.227088 | 6.080212 |
hep-th/9509009
|
Ignatios Antoniadis
|
I. Antoniadis and H. Partouche
|
Exact Monodromy Group of N=2 Heterotic Superstring
|
29 pages, latex-file, a few corrections and additions in references
|
Nucl.Phys. B460 (1996) 470-488
|
10.1016/0550-3213(95)00651-6
|
CPTH-RR370.0895 (Ecole Polytechnique)
|
hep-th
| null |
We describe an $N=2$ heterotic superstring model of rank-3 which is dual to
the type-II string compactified on a Calabi-Yau manifold with Betti numbers
$b_{1,1}=2$ and $b_{1,2}=86$. We show that the exact duality symmetry found
from the type II realization contains the perturbative duality group of the
heterotic model, as well as the exact quantum monodromies of the rigid $SU(2)$
super-Yang-Mills theory. Moreover, it contains a non-perturbative monodromy
which is stringy in origin and corresponds roughly to an exchange of the string
coupling with the compactification radius.
|
[
{
"created": "Sun, 3 Sep 1995 16:31:24 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Sep 1995 18:02:42 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Antoniadis",
"I.",
""
],
[
"Partouche",
"H.",
""
]
] |
We describe an $N=2$ heterotic superstring model of rank-3 which is dual to the type-II string compactified on a Calabi-Yau manifold with Betti numbers $b_{1,1}=2$ and $b_{1,2}=86$. We show that the exact duality symmetry found from the type II realization contains the perturbative duality group of the heterotic model, as well as the exact quantum monodromies of the rigid $SU(2)$ super-Yang-Mills theory. Moreover, it contains a non-perturbative monodromy which is stringy in origin and corresponds roughly to an exchange of the string coupling with the compactification radius.
| 7.468809 | 7.902909 | 8.562652 | 6.997623 | 7.610222 | 7.288726 | 7.720913 | 7.385307 | 7.394953 | 9.146482 | 7.511137 | 7.70926 | 7.899001 | 7.242653 | 7.651414 | 7.431579 | 7.614419 | 7.330301 | 7.23096 | 7.85026 | 7.32488 |
0903.0435
|
Vasilis Niarchos
|
Vasilis Niarchos
|
R-charges, Chiral Rings and RG Flows in Supersymmetric
Chern-Simons-Matter Theories
|
47 pages, 4 figures; v2 paragraph added below eq. (4.17) about
R_X,lim; v3 added footnote 3, a reference, and minor changes to match the
JHEP published version
|
JHEP 0905:054,2009
|
10.1088/1126-6708/2009/05/054
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the non-perturbative behavior of the U(1)_R symmetry in N=2
superconformal Chern-Simons theories coupled to matter in the (anti)fundamental
and adjoint representations of the gauge group, which we take to be U(N).
Inequalities constraining this behavior are obtained as consequences of
spontaneous breaking of supersymmetry and Seiberg duality. This information
reveals a web of RG flows connecting different interacting superconformal field
theories in three dimensions. We observe that a subclass of these theories
admits an ADE classification. In addition, we postulate new examples of Seiberg
duality in N=2 and N=3 Chern-Simons-matter theories and point out interesting
parallels with familiar non-perturbative properties in N=1 (adjoint) SQCD
theories in four dimensions where the exact U(1)_R symmetry can be determined
using a-maximization.
|
[
{
"created": "Tue, 3 Mar 2009 03:22:07 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Mar 2009 04:46:43 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Jun 2009 15:55:27 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Niarchos",
"Vasilis",
""
]
] |
We discuss the non-perturbative behavior of the U(1)_R symmetry in N=2 superconformal Chern-Simons theories coupled to matter in the (anti)fundamental and adjoint representations of the gauge group, which we take to be U(N). Inequalities constraining this behavior are obtained as consequences of spontaneous breaking of supersymmetry and Seiberg duality. This information reveals a web of RG flows connecting different interacting superconformal field theories in three dimensions. We observe that a subclass of these theories admits an ADE classification. In addition, we postulate new examples of Seiberg duality in N=2 and N=3 Chern-Simons-matter theories and point out interesting parallels with familiar non-perturbative properties in N=1 (adjoint) SQCD theories in four dimensions where the exact U(1)_R symmetry can be determined using a-maximization.
| 7.772238 | 7.258685 | 8.735091 | 6.973131 | 6.941173 | 6.668339 | 6.93918 | 6.994219 | 6.8797 | 8.87904 | 6.843536 | 7.199634 | 7.877754 | 7.319555 | 7.151321 | 7.237245 | 7.145504 | 7.138177 | 7.2131 | 7.956657 | 7.049155 |
hep-th/0103257
|
Ichiro Oda
|
Ichiro Oda
|
Trapping of Nonabelian Gauge Fields on a Brane
|
8 pages, LaTex 2e
| null | null |
EDO-EP-40
|
hep-th
| null |
We show that as in abelian gauge fields, nonabelian gauge fields are also
trapped on a brane in the Randall-Sundrum model by applying a new mechanism
based on topological Higgs mechanism. It is pointed out that although almost
massless gauge fields are localized on the brane by the new mechanism, exactly
massless gauge fields are not localized. This fact does not yield any problem
to abelian gauge fields, but may give some problem to nonabelian gauge fields
since it is known that there is a discontinuity between massless and massive
gauge fields in the case of nonabelian gauge groups.
|
[
{
"created": "Fri, 30 Mar 2001 05:14:51 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Oda",
"Ichiro",
""
]
] |
We show that as in abelian gauge fields, nonabelian gauge fields are also trapped on a brane in the Randall-Sundrum model by applying a new mechanism based on topological Higgs mechanism. It is pointed out that although almost massless gauge fields are localized on the brane by the new mechanism, exactly massless gauge fields are not localized. This fact does not yield any problem to abelian gauge fields, but may give some problem to nonabelian gauge fields since it is known that there is a discontinuity between massless and massive gauge fields in the case of nonabelian gauge groups.
| 7.792258 | 7.035944 | 7.379261 | 6.836936 | 7.236774 | 6.837869 | 6.897164 | 6.520001 | 6.620355 | 7.660416 | 7.168955 | 7.065637 | 6.856879 | 6.861539 | 6.930945 | 6.873181 | 6.934097 | 6.977026 | 6.845386 | 7.326659 | 6.776875 |
1502.00918
|
Stefan Lippoldt
|
Holger Gies, Stefan Lippoldt
|
Global surpluses of spin-base invariant fermions
|
6 pages
| null |
10.1016/j.physletb.2015.03.014
| null |
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The spin-base invariant formalism of Dirac fermions in curved space maintains
the essential symmetries of general covariance as well as similarity
transformations of the Clifford algebra. We emphasize the advantages of the
spin-base invariant formalism both from a conceptual as well as from a
practical viewpoint. This suggests that local spin-base invariance should be
added to the list of (effective) properties of (quantum) gravity theories. We
find support for this viewpoint by the explicit construction of a global
realization of the Clifford algebra on a 2-sphere which is impossible in the
spin-base non-invariant vielbein formalism.
|
[
{
"created": "Tue, 3 Feb 2015 16:38:10 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Gies",
"Holger",
""
],
[
"Lippoldt",
"Stefan",
""
]
] |
The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra. We emphasize the advantages of the spin-base invariant formalism both from a conceptual as well as from a practical viewpoint. This suggests that local spin-base invariance should be added to the list of (effective) properties of (quantum) gravity theories. We find support for this viewpoint by the explicit construction of a global realization of the Clifford algebra on a 2-sphere which is impossible in the spin-base non-invariant vielbein formalism.
| 9.908892 | 9.393754 | 10.171317 | 9.558271 | 9.500514 | 9.107549 | 10.081276 | 9.44332 | 9.384384 | 10.590875 | 10.240935 | 9.72645 | 10.1254 | 9.499264 | 9.589237 | 10.039996 | 9.522711 | 9.341789 | 9.396801 | 9.381433 | 9.736087 |
1710.05712
|
Shahrokh Parvizi
|
Ali Nemati and Shahrokh Parvizi
|
Effect of massive potentials on the holographic thermalization
|
24 pages, 9 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a numerical study to recognize the difference between various
massive potentials in the dRGT massive gravity on the holographic
thermalization in the AdS and AdS Gauss-Bonnet gravities. The massive potential
in $4+1$ dimensions includes three symmetric polynomial terms which we denote
them as $a_1$, $a_2$ and $a_3$ terms. We observe, in the case of time evolution
of entanglement entropy that there is a critical size of the entangling surface
on the boundary below which both signs of $a_1$ and above the critical size
$a_3$ are able to reduce the thermal value of entanglement entropy. Our
numerical computations show the more positive $a_i$'s are, the faster system
reaches to its thermal value. The order of saturation time of positive
potentials when supplemented to AdS or AdS-GB backgrounds is as
$t_{sat}(a_{1})>t_{sat}(a_{2})>t_{sat}(a_{3})$. We also explore these effects
on the time evolution of the holographic mutual information.
|
[
{
"created": "Mon, 16 Oct 2017 14:14:08 GMT",
"version": "v1"
}
] |
2017-10-17
|
[
[
"Nemati",
"Ali",
""
],
[
"Parvizi",
"Shahrokh",
""
]
] |
We perform a numerical study to recognize the difference between various massive potentials in the dRGT massive gravity on the holographic thermalization in the AdS and AdS Gauss-Bonnet gravities. The massive potential in $4+1$ dimensions includes three symmetric polynomial terms which we denote them as $a_1$, $a_2$ and $a_3$ terms. We observe, in the case of time evolution of entanglement entropy that there is a critical size of the entangling surface on the boundary below which both signs of $a_1$ and above the critical size $a_3$ are able to reduce the thermal value of entanglement entropy. Our numerical computations show the more positive $a_i$'s are, the faster system reaches to its thermal value. The order of saturation time of positive potentials when supplemented to AdS or AdS-GB backgrounds is as $t_{sat}(a_{1})>t_{sat}(a_{2})>t_{sat}(a_{3})$. We also explore these effects on the time evolution of the holographic mutual information.
| 9.149184 | 10.611898 | 9.43118 | 9.304443 | 10.156964 | 9.317086 | 9.938731 | 8.851144 | 9.199821 | 10.442802 | 9.152654 | 9.23101 | 9.493264 | 9.061858 | 9.429022 | 9.181977 | 9.120673 | 9.051031 | 9.370502 | 9.480453 | 8.943304 |
hep-th/0104151
|
Li Yu Qi
|
Han-Ying Guo, Xiao-mei Ji, Yu-Qi Li and Ke Wu
|
On Symplectic, Multisymplectic Structures-Preserving in Simple Finite
Element Method
|
15 pages, 3 figures
| null | null | null |
hep-th
| null |
By the simple finite element method, we study the symplectic, multisymplectic
structures and relevant preserving properties in some semi-linear elliptic
boundary value problem in one-dimensional and two-dimensional spaces
respectively. We find that with uniform mesh, the numerical schemes derived
from finite element method can keep a preserved symplectic structure in
one-dimensional case and a preserved multisymplectic structure in
two-dimentional case respectively. These results are in fact the intrinsic
reason that the numerical experiments indicate that such finite element schemes
are accurate in practice.
|
[
{
"created": "Wed, 18 Apr 2001 10:24:09 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Guo",
"Han-Ying",
""
],
[
"Ji",
"Xiao-mei",
""
],
[
"Li",
"Yu-Qi",
""
],
[
"Wu",
"Ke",
""
]
] |
By the simple finite element method, we study the symplectic, multisymplectic structures and relevant preserving properties in some semi-linear elliptic boundary value problem in one-dimensional and two-dimensional spaces respectively. We find that with uniform mesh, the numerical schemes derived from finite element method can keep a preserved symplectic structure in one-dimensional case and a preserved multisymplectic structure in two-dimentional case respectively. These results are in fact the intrinsic reason that the numerical experiments indicate that such finite element schemes are accurate in practice.
| 10.598253 | 9.501937 | 12.451859 | 11.775278 | 9.455569 | 9.050199 | 10.607053 | 10.946194 | 10.85791 | 13.705911 | 10.750358 | 10.519272 | 11.26729 | 11.115075 | 10.463745 | 10.709952 | 10.691012 | 10.905541 | 11.610421 | 11.344425 | 10.024669 |
1802.05999
|
Florian Loebbert
|
Florian Loebbert, Matin Mojaza, Jan Plefka
|
Hidden Conformal Symmetry in Tree-Level Graviton Scattering
|
35 pages, 3 figures
| null |
10.1007/JHEP05(2018)208
|
HU-EP-18/03
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the scattering of gravitons in ordinary Einstein gravity
possesses a hidden conformal symmetry at tree level in any number of
dimensions. The presence of this conformal symmetry is indicated by the dilaton
soft theorem in string theory, and it is reminiscent of the conformal
invariance of gluon tree-level amplitudes in four dimensions. To motivate the
underlying prescription, we demonstrate that formulating the conformal symmetry
of gluon amplitudes in terms of momenta and polarization vectors requires
manifest reversal and cyclic symmetry. Similarly, our formulation of the
conformal symmetry of graviton amplitudes relies on a manifestly permutation
symmetric form of the amplitude function.
|
[
{
"created": "Fri, 16 Feb 2018 16:06:59 GMT",
"version": "v1"
}
] |
2018-07-04
|
[
[
"Loebbert",
"Florian",
""
],
[
"Mojaza",
"Matin",
""
],
[
"Plefka",
"Jan",
""
]
] |
We argue that the scattering of gravitons in ordinary Einstein gravity possesses a hidden conformal symmetry at tree level in any number of dimensions. The presence of this conformal symmetry is indicated by the dilaton soft theorem in string theory, and it is reminiscent of the conformal invariance of gluon tree-level amplitudes in four dimensions. To motivate the underlying prescription, we demonstrate that formulating the conformal symmetry of gluon amplitudes in terms of momenta and polarization vectors requires manifest reversal and cyclic symmetry. Similarly, our formulation of the conformal symmetry of graviton amplitudes relies on a manifestly permutation symmetric form of the amplitude function.
| 8.117075 | 8.479486 | 8.688827 | 8.231153 | 8.593792 | 8.602559 | 8.162665 | 8.167147 | 7.928939 | 9.55795 | 8.441523 | 7.51621 | 8.248058 | 7.81037 | 7.8585 | 7.919273 | 7.675111 | 7.872814 | 7.786475 | 7.803855 | 7.7236 |
2311.01536
|
Alberto Castellano
|
Alberto Castellano, Ignacio Ruiz, Irene Valenzuela
|
Stringy Evidence for a Universal Pattern at Infinite Distance
|
93 pages + appendices, 11 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Infinite distance limits in the moduli space of a quantum gravity theory are
characterized by having infinite towers of states becoming light, as dictated
by the Distance Conjecture in the Swampland program. These towers imply a
drastic breakdown in the perturbative regimes of the effective field theory at
a quantum gravity cut-off scale known as the species scale. In this paper, we
find a universal pattern satisfied in all known infinite distance limits of
string theory compactifications, which relates the variation in field space of
the mass of the tower and the species scale: $\frac{\vec\nabla m}{m}
\cdot\frac{\vec\nabla \Lambda_{\rm sp}}{ \Lambda_{\rm sp}}=\frac{1}{d-2}$ in
$d$ spacetime dimensions. This implies a more precise definition of the
Distance conjecture and sharp bounds for the exponential decay rates. We
provide plethora of evidence in string theory and identify some sufficient
conditions that allow the pattern to hold from a bottom-up perspective.
|
[
{
"created": "Thu, 2 Nov 2023 18:35:42 GMT",
"version": "v1"
}
] |
2023-11-06
|
[
[
"Castellano",
"Alberto",
""
],
[
"Ruiz",
"Ignacio",
""
],
[
"Valenzuela",
"Irene",
""
]
] |
Infinite distance limits in the moduli space of a quantum gravity theory are characterized by having infinite towers of states becoming light, as dictated by the Distance Conjecture in the Swampland program. These towers imply a drastic breakdown in the perturbative regimes of the effective field theory at a quantum gravity cut-off scale known as the species scale. In this paper, we find a universal pattern satisfied in all known infinite distance limits of string theory compactifications, which relates the variation in field space of the mass of the tower and the species scale: $\frac{\vec\nabla m}{m} \cdot\frac{\vec\nabla \Lambda_{\rm sp}}{ \Lambda_{\rm sp}}=\frac{1}{d-2}$ in $d$ spacetime dimensions. This implies a more precise definition of the Distance conjecture and sharp bounds for the exponential decay rates. We provide plethora of evidence in string theory and identify some sufficient conditions that allow the pattern to hold from a bottom-up perspective.
| 10.074909 | 7.196622 | 10.322288 | 8.135973 | 7.52015 | 7.044995 | 7.368231 | 7.720956 | 7.710934 | 10.341533 | 7.947515 | 8.721446 | 8.909661 | 8.655193 | 8.381789 | 8.472982 | 8.416903 | 8.193857 | 8.551214 | 9.248554 | 8.527936 |
1206.2271
|
Hesam Soltanpanahi
|
Kazem Bitaghsir Fadafan and Hesam Soltanpanahi
|
Energy loss in a strongly coupled anisotropic plasma
|
26+1 pages, 10 figures, typos fixed
|
JHEP 10 (2012) 085
|
10.1007/JHEP10(2012)085
|
WITS-CTP-99
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the energy loss of a rotating infinitely massive quark moving, at
constant velocity, through an anisotropic strongly-coupled N=4 plasma from
holography. It is shown that, similar to the isotropic plasma, the energy loss
of the rotating quark is due to either the drag force or radiation with a
continuous crossover from drag-dominated regime to the radiation dominated
regime. We find that the anisotropy has a significant effect on the energy loss
of the heavy quark, specially in the crossover regime. We argue that the energy
loss due to radiation in anisotropic media is less than the isotropic case.
Interestingly this is similar to analogous calculations for the energy loss in
weakly coupled anisotropic plasma.
|
[
{
"created": "Mon, 11 Jun 2012 16:06:12 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jul 2012 17:32:18 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Sep 2012 17:42:48 GMT",
"version": "v3"
},
{
"created": "Mon, 17 Sep 2012 12:16:26 GMT",
"version": "v4"
}
] |
2015-06-05
|
[
[
"Fadafan",
"Kazem Bitaghsir",
""
],
[
"Soltanpanahi",
"Hesam",
""
]
] |
We study the energy loss of a rotating infinitely massive quark moving, at constant velocity, through an anisotropic strongly-coupled N=4 plasma from holography. It is shown that, similar to the isotropic plasma, the energy loss of the rotating quark is due to either the drag force or radiation with a continuous crossover from drag-dominated regime to the radiation dominated regime. We find that the anisotropy has a significant effect on the energy loss of the heavy quark, specially in the crossover regime. We argue that the energy loss due to radiation in anisotropic media is less than the isotropic case. Interestingly this is similar to analogous calculations for the energy loss in weakly coupled anisotropic plasma.
| 6.832778 | 5.83246 | 6.965533 | 6.835707 | 6.799458 | 6.115828 | 6.201565 | 6.280465 | 6.592114 | 7.192222 | 6.01504 | 6.456219 | 6.713382 | 6.548993 | 6.489347 | 6.604694 | 6.390026 | 6.581503 | 6.475302 | 6.651229 | 6.218899 |
1208.2807
|
Mahdiyar Noorbala
|
Azadeh Maleknejad, Mahdiyar Noorbala, M. M. Sheikh-Jabbari
|
Leptogenesis in Inflationary models with Non-Abelian Gauge Fields
|
matches published version
|
General Relativity and Gravitation (2018) 50:110
|
10.1007/s10714-018-2435-8
|
IPM/P-2012/029
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A scenario of leptogenesis was introduced in [1] which works during
inflationary period within standard model of particle physics setup. In this
scenario lepton number is created by the gravitational chiral anomaly which has
a non-zero expectation value for models of inflation driven by pseudoscalar
field(s). Here, we observe that models of inflation involving non-Abelian gauge
fields, e.g. the chromo-natural inflation [2] or the gauge-flation [3], have a
parity-violating tensor mode (graviton) spectrum and naturally lead to a
non-vanishing expectation value for the gravitational chiral anomaly.
Therefore, one has a natural leptogenesis scenario associated with these
inflationary setups, \emph{inflato-natural leptogenesis}. We argue that the
observed value of baryon-to-photon number density can be explained in a natural
range of parameters in these models.
|
[
{
"created": "Tue, 14 Aug 2012 08:33:10 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Nov 2013 16:41:35 GMT",
"version": "v2"
},
{
"created": "Sun, 19 Aug 2018 10:13:11 GMT",
"version": "v3"
}
] |
2018-08-21
|
[
[
"Maleknejad",
"Azadeh",
""
],
[
"Noorbala",
"Mahdiyar",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] |
A scenario of leptogenesis was introduced in [1] which works during inflationary period within standard model of particle physics setup. In this scenario lepton number is created by the gravitational chiral anomaly which has a non-zero expectation value for models of inflation driven by pseudoscalar field(s). Here, we observe that models of inflation involving non-Abelian gauge fields, e.g. the chromo-natural inflation [2] or the gauge-flation [3], have a parity-violating tensor mode (graviton) spectrum and naturally lead to a non-vanishing expectation value for the gravitational chiral anomaly. Therefore, one has a natural leptogenesis scenario associated with these inflationary setups, \emph{inflato-natural leptogenesis}. We argue that the observed value of baryon-to-photon number density can be explained in a natural range of parameters in these models.
| 8.489295 | 7.437293 | 8.674024 | 7.638946 | 8.796552 | 9.152595 | 8.411773 | 7.560291 | 8.155005 | 8.947864 | 7.879865 | 7.484192 | 7.786718 | 7.715688 | 7.727411 | 7.93152 | 7.890079 | 7.698391 | 7.985773 | 8.051454 | 7.976742 |
1306.0723
|
Novikov Oleg
|
Alexander A. Andrianov, Vladimir A. Andrianov, Oleg O. Novikov
|
Gravity effects on thick brane formation from scalar field dynamics
|
15 pages, minor corrections, two-column EPJ-C style
|
Eur. Phys. J. C (2013) 73: 2675
|
10.1140/epjc/s10052-013-2675-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The formation of a thick brane in five-dimen\-sional space-time is
investigated when warp geometries of $AdS_5$ type are induced by scalar matter
dynamics and triggered by a thin-brane defect. The scalar matter is taken to
consist of two fields with $O(2)$ symmetric self interaction and with manifest
$O(2)$ symmetry breaking by terms quadratic in fields. One of them serves as a
thick brane formation mode around a kink background and another one is of a
Higgs-field type which may develop a classical background as well. Scalar
matter interacts with gravity in the minimal form and gravity effects on
(quasi)localized scalar fluctuations are calculated with usage of gauge
invariant variables suitable for perturbation expansion. The calculations are
performed in the vicinity of the critical point of spontaneous breaking of the
combined parity symmetry where a non-trivial v.e.v. of the Higgs-type scalar
field is generated. The nonperturbative discontinuous gravitational effects in
the mass spectrum of light localized scalar states are studied in the presence
of a thin-brane defect. The thin brane with negative tension happens to be the
most curious case when the singular barriers form a potential well with two
infinitely tall walls and the discrete spectrum of localized states arises
completely isolated from the bulk.
|
[
{
"created": "Tue, 4 Jun 2013 10:27:13 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 2013 18:18:28 GMT",
"version": "v2"
},
{
"created": "Fri, 22 Nov 2013 11:29:50 GMT",
"version": "v3"
}
] |
2013-12-13
|
[
[
"Andrianov",
"Alexander A.",
""
],
[
"Andrianov",
"Vladimir A.",
""
],
[
"Novikov",
"Oleg O.",
""
]
] |
The formation of a thick brane in five-dimen\-sional space-time is investigated when warp geometries of $AdS_5$ type are induced by scalar matter dynamics and triggered by a thin-brane defect. The scalar matter is taken to consist of two fields with $O(2)$ symmetric self interaction and with manifest $O(2)$ symmetry breaking by terms quadratic in fields. One of them serves as a thick brane formation mode around a kink background and another one is of a Higgs-field type which may develop a classical background as well. Scalar matter interacts with gravity in the minimal form and gravity effects on (quasi)localized scalar fluctuations are calculated with usage of gauge invariant variables suitable for perturbation expansion. The calculations are performed in the vicinity of the critical point of spontaneous breaking of the combined parity symmetry where a non-trivial v.e.v. of the Higgs-type scalar field is generated. The nonperturbative discontinuous gravitational effects in the mass spectrum of light localized scalar states are studied in the presence of a thin-brane defect. The thin brane with negative tension happens to be the most curious case when the singular barriers form a potential well with two infinitely tall walls and the discrete spectrum of localized states arises completely isolated from the bulk.
| 16.544024 | 17.337717 | 17.329866 | 16.31436 | 18.31513 | 17.28945 | 17.16452 | 16.901321 | 16.551104 | 18.377588 | 15.823264 | 16.11854 | 16.095753 | 15.979989 | 16.168314 | 16.193981 | 16.375902 | 15.947117 | 16.333025 | 16.270632 | 15.89548 |
hep-th/0105039
|
DaeKil Park
|
D. K. Park
|
Hidden functional relation in Large-N Quark-Monopole system at finite
temperature
|
22 pages, 3 figures, v1 one more reference added v2 version to appear
in NPB
|
Nucl.Phys. B618 (2001) 157-170
|
10.1016/S0550-3213(01)00484-9
|
MCTP-01-19
|
hep-th
| null |
The quark-monopole potential is computed at finite temperature in the context
of $AdS/CFT$ correspondence. It is found that the potential is invariant under
$g \to 1/g$ and $U_T \to U_T / g$. As in the quark-quark case there exists a
maximum separation between quark and monopole, and $L$-dependence of the
potential exhibits a bifurcation behavior. We find a functional relation
$dE_{QM}^{Reg} / dL = [(1/E_{(1,0)}^{Reg}(U_0))^2 +
(1/E_{(0,1)}^{Reg}(U_0))^2]^{-1/2}$ which is responsible for the bifurcation.
The remarkable property of this relation is that it makes a relation between
physical quantities defined at the $AdS$ boundary through a quantity defined at
the bulk. The physical implication of this relation for the existence of the
extra dimension is speculated.
|
[
{
"created": "Thu, 3 May 2001 19:12:18 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jun 2001 19:55:22 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Sep 2001 15:58:27 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Park",
"D. K.",
""
]
] |
The quark-monopole potential is computed at finite temperature in the context of $AdS/CFT$ correspondence. It is found that the potential is invariant under $g \to 1/g$ and $U_T \to U_T / g$. As in the quark-quark case there exists a maximum separation between quark and monopole, and $L$-dependence of the potential exhibits a bifurcation behavior. We find a functional relation $dE_{QM}^{Reg} / dL = [(1/E_{(1,0)}^{Reg}(U_0))^2 + (1/E_{(0,1)}^{Reg}(U_0))^2]^{-1/2}$ which is responsible for the bifurcation. The remarkable property of this relation is that it makes a relation between physical quantities defined at the $AdS$ boundary through a quantity defined at the bulk. The physical implication of this relation for the existence of the extra dimension is speculated.
| 7.920966 | 7.601264 | 8.581642 | 7.774274 | 8.706741 | 8.321653 | 7.905792 | 7.368577 | 7.505415 | 9.549263 | 7.287969 | 7.817737 | 7.861535 | 7.324944 | 7.435077 | 7.627142 | 7.803 | 7.587511 | 7.553657 | 7.716104 | 7.805394 |
hep-th/0611288
|
M. Hossein Dehghani
|
M. H. Dehghani, S. H. Hendi, A. Sheykhi and H. Rastegar Sedehi
|
Thermodynamics of rotating black branes in $(n+1)$-dimensional
Einstein-Born-Infeld-dilaton gravity
|
16 pages, 9 figures
|
JCAP 0702:020,2007
|
10.1088/1475-7516/2007/02/020
| null |
hep-th
| null |
In this paper, we construct a new class of charged, rotating solutions of $%
(n+1)$-dimensional Einstein-Born-Infeld-dilaton gravity with Liouville-type
potentials and investigate their properties. These solutions are neither
asymptotically flat nor (anti)-de Sitter. We find that these solutions can
represent black brane, with inner and outer event horizons, an extreme black
brane or a naked singularity provided the parameters of the solutions are
chosen suitably. We also compute temperature, entropy, charge, electric
potential, mass and angular momentum of the black brane solutions, and show
that these quantities satisfy the first law of thermodynamics. We find that the
conserved quantities are independent of the Born-Infeld parameter $\beta $,
while they depend on the dilaton coupling constant $\alpha$. We also find the
total mass of the black brane with infinite boundary as a function of the
entropy, the angular momenta and the charge and perform a stability analysis by
computing the heat capacity in the canonical ensemble. We find that the system
is thermally stable for $\alpha \leq 1$ independent of the values of the charge
and Born-Infeld parameters, while for $\alpha> 1$ the system has an unstable
phase. In the latter case, the solutions are stable provided $\alpha \leq
\alpha_{\max}$ and $\beta \geq \beta_{\min}$, where $% \alpha_{\max}$ and
$\beta_{\min}$ depend on the charge and the dimensionality of the spacetime.
That is the solutions are unstable for highly nonlinear electromagnetic field
or when the dilaton coupling constant is large.
|
[
{
"created": "Mon, 27 Nov 2006 11:05:42 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Feb 2007 06:27:18 GMT",
"version": "v2"
}
] |
2010-10-27
|
[
[
"Dehghani",
"M. H.",
""
],
[
"Hendi",
"S. H.",
""
],
[
"Sheykhi",
"A.",
""
],
[
"Sedehi",
"H. Rastegar",
""
]
] |
In this paper, we construct a new class of charged, rotating solutions of $% (n+1)$-dimensional Einstein-Born-Infeld-dilaton gravity with Liouville-type potentials and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We find that these solutions can represent black brane, with inner and outer event horizons, an extreme black brane or a naked singularity provided the parameters of the solutions are chosen suitably. We also compute temperature, entropy, charge, electric potential, mass and angular momentum of the black brane solutions, and show that these quantities satisfy the first law of thermodynamics. We find that the conserved quantities are independent of the Born-Infeld parameter $\beta $, while they depend on the dilaton coupling constant $\alpha$. We also find the total mass of the black brane with infinite boundary as a function of the entropy, the angular momenta and the charge and perform a stability analysis by computing the heat capacity in the canonical ensemble. We find that the system is thermally stable for $\alpha \leq 1$ independent of the values of the charge and Born-Infeld parameters, while for $\alpha> 1$ the system has an unstable phase. In the latter case, the solutions are stable provided $\alpha \leq \alpha_{\max}$ and $\beta \geq \beta_{\min}$, where $% \alpha_{\max}$ and $\beta_{\min}$ depend on the charge and the dimensionality of the spacetime. That is the solutions are unstable for highly nonlinear electromagnetic field or when the dilaton coupling constant is large.
| 4.480719 | 3.185227 | 4.041283 | 3.469832 | 3.560004 | 3.370487 | 3.340835 | 3.335851 | 3.451918 | 4.325558 | 3.584326 | 3.95565 | 4.273149 | 4.146414 | 4.066573 | 4.088853 | 4.001482 | 4.039049 | 4.072331 | 4.402931 | 4.104998 |
hep-th/0511187
|
Kentaroh Yoshida
|
Hyeonjoon Shin, Kentaroh Yoshida
|
Graviton and Spherical Graviton Potentials in Plane-Wave Matrix Model -
overview and perspective -
|
11 pages, 4 figures, LaTeX, invited talk by K.Y at the 4th
International Symposium On Quantum Theory And Symmetries (QTS-4), Varna Free
University, Bulgaria, 15-21 August 2005, to be published in the Proceedings
| null | null |
KEK-TH-1053
|
hep-th
| null |
We briefly review our works for graviton and spherical graviton potentials in
a plane-wave matrix model. To compute them, it is necessary to devise a
configuration of the graviton solutions, since the plane-wave matrix model
includes mass terms and hence the gravitons are not free particles as in the
BFSS matrix model but harmonic oscillators or rotating particles. The
configuration we proposed consists of a rotating graviton and an elliptically
rotating graviton. It is applied to the two-body interaction of spherical
gravitons in the SO(6) symmetric space, and then to that of point-like
gravitons in the SO(3) symmetric space. In both cases the leading term of the
resulting potential is 1/r^7. This result strongly suggests that the potentials
should be closely related to the light-front eleven-dimensional supergravity
linearized around the pp-wave background.
|
[
{
"created": "Fri, 18 Nov 2005 05:43:53 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Shin",
"Hyeonjoon",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] |
We briefly review our works for graviton and spherical graviton potentials in a plane-wave matrix model. To compute them, it is necessary to devise a configuration of the graviton solutions, since the plane-wave matrix model includes mass terms and hence the gravitons are not free particles as in the BFSS matrix model but harmonic oscillators or rotating particles. The configuration we proposed consists of a rotating graviton and an elliptically rotating graviton. It is applied to the two-body interaction of spherical gravitons in the SO(6) symmetric space, and then to that of point-like gravitons in the SO(3) symmetric space. In both cases the leading term of the resulting potential is 1/r^7. This result strongly suggests that the potentials should be closely related to the light-front eleven-dimensional supergravity linearized around the pp-wave background.
| 12.59625 | 11.832426 | 13.442728 | 11.065806 | 11.392259 | 12.69587 | 11.416104 | 11.784488 | 10.815018 | 12.899589 | 10.751957 | 11.284714 | 12.025614 | 11.208586 | 10.812099 | 11.342291 | 11.33406 | 11.47212 | 11.238452 | 12.475507 | 11.317259 |
hep-th/0305063
|
Pierre van Baal
|
Falk Bruckmann, Daniel Nogradi and Pierre van Baal
|
Constituent monopoles through the eyes of fermion zero-modes
|
35 pages, 9 figures (in 26 parts)
|
Nucl.Phys. B666 (2003) 197-229
|
10.1016/S0550-3213(03)00531-5
|
INLO-PUB-06/03
|
hep-th hep-lat
| null |
We use the fermion zero-modes in the background of multi-caloron solutions
with non-trivial holonomy as a probe for constituent monopoles. We find in
general indication for an extended structure. However, for well separated
constituents these become point-like. We analyse this in detail for the SU(2)
charge 2 case, where one is able to solve the relevant Nahm equation exactly,
beyond the piecewize constant solutions studied previously. Remarkably the
zero-mode density can be expressed in the high temperature limit as a function
of the conserved quantities that classify the solutions of the Nahm equation.
|
[
{
"created": "Thu, 8 May 2003 12:25:45 GMT",
"version": "v1"
}
] |
2010-04-05
|
[
[
"Bruckmann",
"Falk",
""
],
[
"Nogradi",
"Daniel",
""
],
[
"van Baal",
"Pierre",
""
]
] |
We use the fermion zero-modes in the background of multi-caloron solutions with non-trivial holonomy as a probe for constituent monopoles. We find in general indication for an extended structure. However, for well separated constituents these become point-like. We analyse this in detail for the SU(2) charge 2 case, where one is able to solve the relevant Nahm equation exactly, beyond the piecewize constant solutions studied previously. Remarkably the zero-mode density can be expressed in the high temperature limit as a function of the conserved quantities that classify the solutions of the Nahm equation.
| 15.37268 | 14.755763 | 16.732677 | 13.483666 | 14.95673 | 13.226145 | 13.540836 | 12.64719 | 12.742175 | 16.667835 | 12.747849 | 14.29863 | 14.153365 | 13.862864 | 14.313439 | 14.114078 | 14.132354 | 14.784086 | 14.228975 | 14.998854 | 14.084747 |
2303.06723
|
Bob Holdom
|
Bob Holdom
|
Running couplings and unitarity in a 4-derivative scalar field theory
|
16 pages, 4 figures
|
Physics Letters B 138023 (2023)
|
10.1016/j.physletb.2023.138023
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We obtain the $\beta$-functions for the two dimensionless couplings of a 4d
renormalizable scalar field theory with cubic and quartic 4-derivative
interactions. Both couplings can be asymptotically free in the UV, and in some
cases also in the IR. This theory illustrates the meaning of unitarity in the
presence of a negative norm state. A perturbative calculation that accounts for
the new minus signs shows that the optical theorem is identically satisfied.
These minus signs also enter a discussion of tree-level scattering. For a
certain setup involving colliding beams of particles we find even more
intricate cancellations and quite normal behaviour at high energies. The
$\beta$-functions for the Stuckelberg gauged version of the theory are also
obtained.
|
[
{
"created": "Sun, 12 Mar 2023 18:05:30 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jun 2023 17:47:02 GMT",
"version": "v2"
}
] |
2023-06-19
|
[
[
"Holdom",
"Bob",
""
]
] |
We obtain the $\beta$-functions for the two dimensionless couplings of a 4d renormalizable scalar field theory with cubic and quartic 4-derivative interactions. Both couplings can be asymptotically free in the UV, and in some cases also in the IR. This theory illustrates the meaning of unitarity in the presence of a negative norm state. A perturbative calculation that accounts for the new minus signs shows that the optical theorem is identically satisfied. These minus signs also enter a discussion of tree-level scattering. For a certain setup involving colliding beams of particles we find even more intricate cancellations and quite normal behaviour at high energies. The $\beta$-functions for the Stuckelberg gauged version of the theory are also obtained.
| 12.341439 | 12.385317 | 12.023159 | 12.088799 | 11.928747 | 12.339443 | 12.05797 | 12.147424 | 12.12289 | 13.358662 | 11.430523 | 11.654474 | 12.170301 | 11.424036 | 11.311392 | 11.974515 | 11.681383 | 11.435761 | 11.752414 | 12.422767 | 11.441317 |
hep-th/0608077
|
Diego Trancanelli
|
Simone Giombi, Riccardo Ricci, Diego Trancanelli
|
Operator product expansion of higher rank Wilson loops from D-branes and
matrix models
|
28 pages, latex; v2: minor misprints corrected, references added
|
JHEP0610:045,2006
|
10.1088/1126-6708/2006/10/045
|
YITP-SB-06-33
|
hep-th
| null |
In this paper we study correlation functions of circular Wilson loops in
higher dimensional representations with chiral primary operators of N=4 super
Yang-Mills theory. This is done using the recently established relation between
higher rank Wilson loops in gauge theory and D-branes with electric fluxes in
supergravity. We verify our results with a matrix model computation, finding
perfect agreement in both the symmetric and the antisymmetric case.
|
[
{
"created": "Fri, 11 Aug 2006 19:25:17 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Oct 2006 14:15:58 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Giombi",
"Simone",
""
],
[
"Ricci",
"Riccardo",
""
],
[
"Trancanelli",
"Diego",
""
]
] |
In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N=4 super Yang-Mills theory. This is done using the recently established relation between higher rank Wilson loops in gauge theory and D-branes with electric fluxes in supergravity. We verify our results with a matrix model computation, finding perfect agreement in both the symmetric and the antisymmetric case.
| 9.491675 | 7.081429 | 10.357582 | 7.043931 | 7.807646 | 7.381696 | 7.061647 | 6.818169 | 6.273934 | 10.140024 | 6.165725 | 7.036622 | 8.998784 | 7.348844 | 7.257822 | 7.177022 | 7.189364 | 7.343863 | 7.316225 | 9.256768 | 7.1749 |
1205.3701
|
Yong-Wan Kim
|
Yong-Wan Kim, Yun Soo Myung, Young-Jai Park
|
Quasinormal modes and hidden conformal symmetry in the
Reissner-Nordstrom black hole
|
17 pages, 1 figure, version to appear in EPJC
| null |
10.1140/epjc/s10052-013-2440-8
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the scalar wave equation in the near-horizon limit respects
a hidden SL(2,R) invariance in the Reissner-Nordstrom (RN) black hole
spacetimes. We use the SL(2,R) symmetry to determine algebraically the purely
imaginary quasinormal frequencies of the RN black hole. We confirm that these
are exactly quasinormal modes of scalar perturbation around the near-extremal
black hole.
|
[
{
"created": "Wed, 16 May 2012 15:08:31 GMT",
"version": "v1"
},
{
"created": "Fri, 18 May 2012 05:04:52 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Sep 2012 05:21:53 GMT",
"version": "v3"
},
{
"created": "Wed, 8 May 2013 05:17:44 GMT",
"version": "v4"
}
] |
2015-06-05
|
[
[
"Kim",
"Yong-Wan",
""
],
[
"Myung",
"Yun Soo",
""
],
[
"Park",
"Young-Jai",
""
]
] |
It is shown that the scalar wave equation in the near-horizon limit respects a hidden SL(2,R) invariance in the Reissner-Nordstrom (RN) black hole spacetimes. We use the SL(2,R) symmetry to determine algebraically the purely imaginary quasinormal frequencies of the RN black hole. We confirm that these are exactly quasinormal modes of scalar perturbation around the near-extremal black hole.
| 7.681503 | 5.777215 | 6.097843 | 6.084316 | 6.507355 | 6.052673 | 6.08507 | 6.424996 | 6.146194 | 6.998091 | 6.394916 | 6.584016 | 6.446186 | 6.549091 | 6.56876 | 6.342921 | 6.859349 | 6.454928 | 6.965495 | 6.385836 | 6.6768 |
1807.10213
|
Sergio Caracciolo
|
Sergio Caracciolo, Matteo A. Cardella and Mauro Pastore
|
Remarks on replica diagonal collective field condensations in SYK
|
The perturbative expansion has not kept into account the necessary
subtractions
| null | null | null |
hep-th cond-mat.dis-nn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the Sachdev-Ye-Kitaev model with generic order $q \ge 4$ random couplings,
we compute the critical temperature relating the Majorana fermions high
temperature perturbative vacuum to the vacuum where the replica diagonal
collective field $G(\tau, \tau')$ condenses. We study, by a finite temperature
diagrammatic analysis, the effective action of an auxiliary
Hubbard-Stratonovich bilocal field related to $G(\tau, \tau')$ in the large $N$
limit. Subtelties that arise in switching from the operatorial to the
functional integral representation of the SYK thermal partition function are
also discussed.
|
[
{
"created": "Thu, 26 Jul 2018 15:58:41 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Aug 2018 07:53:33 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Nov 2018 14:32:26 GMT",
"version": "v3"
}
] |
2018-11-26
|
[
[
"Caracciolo",
"Sergio",
""
],
[
"Cardella",
"Matteo A.",
""
],
[
"Pastore",
"Mauro",
""
]
] |
In the Sachdev-Ye-Kitaev model with generic order $q \ge 4$ random couplings, we compute the critical temperature relating the Majorana fermions high temperature perturbative vacuum to the vacuum where the replica diagonal collective field $G(\tau, \tau')$ condenses. We study, by a finite temperature diagrammatic analysis, the effective action of an auxiliary Hubbard-Stratonovich bilocal field related to $G(\tau, \tau')$ in the large $N$ limit. Subtelties that arise in switching from the operatorial to the functional integral representation of the SYK thermal partition function are also discussed.
| 11.668573 | 10.960701 | 13.588322 | 10.18836 | 11.757689 | 10.569355 | 11.22907 | 10.719831 | 9.889524 | 13.440206 | 10.51865 | 9.909465 | 10.507526 | 9.981293 | 10.721301 | 10.143282 | 10.454358 | 11.059804 | 10.310539 | 10.533811 | 10.419315 |
hep-th/0112074
|
Martin Bojowald
|
Martin Bojowald and Thomas Strobl
|
Poisson Geometry in Constrained Systems
|
41 pages, more detailed abstract in paper; v2: minor corrections and
an additional reference
|
Rev.Math.Phys.15:663-703,2003
|
10.1142/S0129055X0300176X
|
FSUJ-TPI-01/07, CGPG-01/12-1
|
hep-th math.SG
| null |
Constrained Hamiltonian systems fall into the realm of presymplectic
geometry. We show, however, that also Poisson geometry is of use in this
context.
For the case that the constraints form a closed algebra, there are two
natural Poisson manifolds associated to the system, forming a symplectic dual
pair with respect to the original, unconstrained phase space. We provide
sufficient conditions so that the reduced phase space of the constrained system
may be identified with a symplectic leaf in one of those. In the second class
case the original constrained system may be reformulated equivalently as an
abelian first class system in an extended phase space by these methods.
Inspired by the relation of the Dirac bracket of a general second class
constrained system to the original unconstrained phase space, we address the
question of whether a regular Poisson manifold permits a leafwise symplectic
embedding into a symplectic manifold. Necessary and sufficient for this is the
vanishing of the characteristic form-class of the Poisson tensor, a certain
element of the third relative cohomology.
|
[
{
"created": "Mon, 10 Dec 2001 17:17:51 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Feb 2002 17:45:48 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Bojowald",
"Martin",
""
],
[
"Strobl",
"Thomas",
""
]
] |
Constrained Hamiltonian systems fall into the realm of presymplectic geometry. We show, however, that also Poisson geometry is of use in this context. For the case that the constraints form a closed algebra, there are two natural Poisson manifolds associated to the system, forming a symplectic dual pair with respect to the original, unconstrained phase space. We provide sufficient conditions so that the reduced phase space of the constrained system may be identified with a symplectic leaf in one of those. In the second class case the original constrained system may be reformulated equivalently as an abelian first class system in an extended phase space by these methods. Inspired by the relation of the Dirac bracket of a general second class constrained system to the original unconstrained phase space, we address the question of whether a regular Poisson manifold permits a leafwise symplectic embedding into a symplectic manifold. Necessary and sufficient for this is the vanishing of the characteristic form-class of the Poisson tensor, a certain element of the third relative cohomology.
| 9.632076 | 8.784398 | 9.458489 | 8.040463 | 9.713884 | 8.970215 | 8.851237 | 9.088545 | 8.32723 | 10.808352 | 8.524047 | 8.281247 | 9.177267 | 8.528743 | 8.575863 | 8.916591 | 8.364224 | 8.389171 | 8.584724 | 8.683939 | 8.505565 |
1901.00679
|
Marco Stefano Bianchi
|
Marco S. Bianchi
|
On structure constants with two spinning twist-two operators
|
21 pages
| null |
10.1007/JHEP04(2019)059
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I consider three-point functions of one protected and two unprotected
twist-two operators with spin in N=4 SYM at weak coupling. At one loop I
formulate an empiric conjecture for the dependence of the corresponding
structure constants on the spins of the operators. Using such an ansatz and
some input from explicit perturbative results, I fix completely various
infinite sets of one-loop structure constants of these three-point functions.
Finally, I determine the two-loop corrections to the structure constants for a
few fixed values of the spins of the operators.
|
[
{
"created": "Thu, 3 Jan 2019 10:53:05 GMT",
"version": "v1"
}
] |
2019-05-01
|
[
[
"Bianchi",
"Marco S.",
""
]
] |
I consider three-point functions of one protected and two unprotected twist-two operators with spin in N=4 SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on the spins of the operators. Using such an ansatz and some input from explicit perturbative results, I fix completely various infinite sets of one-loop structure constants of these three-point functions. Finally, I determine the two-loop corrections to the structure constants for a few fixed values of the spins of the operators.
| 9.837201 | 8.24445 | 9.917793 | 8.202041 | 8.144495 | 7.808547 | 7.426684 | 7.755595 | 8.257854 | 10.287485 | 8.062302 | 8.179888 | 9.226097 | 8.608621 | 8.183194 | 8.089226 | 8.184756 | 8.37967 | 8.220259 | 9.410178 | 8.463469 |
hep-th/9402017
|
Thomas Kerler
|
Thomas Kerler
|
Mapping Class Group Actions on Quantum Doubles
|
45 pages
|
Commun.Math.Phys. 168 (1995) 353-388
|
10.1007/BF02101554
| null |
hep-th math.QA
| null |
We study representations of the mapping class group of the punctured torus on
the double of a finite dimensional possibly non-semisimple Hopf algebra that
arise in the construction of universal, extended topological field theories. We
discuss how for doubles the degeneracy problem of TQFT's is circumvented. We
find compact formulae for the ${\cal S}^{\pm 1}$-matrices using the canonical,
non degenerate forms of Hopf algebras and the bicrossed structure of doubles
rather than monodromy matrices. A rigorous proof of the modular relations and
the computation of the projective phases is supplied using Radford's relations
between the canonical forms and the moduli of integrals. We analyze the
projective $SL(2, Z)$-action on the center of $U_q(sl_2)$ for $q$ an
$l=2m+1$-st root of unity. It appears that the $3m+1$-dimensional
representation decomposes into an $m+1$-dimensional finite representation and a
$2m$-dimensional, irreducible representation. The latter is the tensor product
of the two dimensional, standard representation of $SL(2, Z)$ and the finite,
$m$-dimensional representation, obtained from the truncated TQFT of the
semisimplified representation category of $U_q(sl_2)\,$.
|
[
{
"created": "Thu, 3 Feb 1994 16:33:17 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kerler",
"Thomas",
""
]
] |
We study representations of the mapping class group of the punctured torus on the double of a finite dimensional possibly non-semisimple Hopf algebra that arise in the construction of universal, extended topological field theories. We discuss how for doubles the degeneracy problem of TQFT's is circumvented. We find compact formulae for the ${\cal S}^{\pm 1}$-matrices using the canonical, non degenerate forms of Hopf algebras and the bicrossed structure of doubles rather than monodromy matrices. A rigorous proof of the modular relations and the computation of the projective phases is supplied using Radford's relations between the canonical forms and the moduli of integrals. We analyze the projective $SL(2, Z)$-action on the center of $U_q(sl_2)$ for $q$ an $l=2m+1$-st root of unity. It appears that the $3m+1$-dimensional representation decomposes into an $m+1$-dimensional finite representation and a $2m$-dimensional, irreducible representation. The latter is the tensor product of the two dimensional, standard representation of $SL(2, Z)$ and the finite, $m$-dimensional representation, obtained from the truncated TQFT of the semisimplified representation category of $U_q(sl_2)\,$.
| 8.97681 | 10.631492 | 10.520617 | 9.402538 | 10.612137 | 9.838015 | 10.239719 | 9.839196 | 9.939722 | 11.850825 | 9.102239 | 9.251313 | 9.19415 | 8.879825 | 9.188082 | 8.871927 | 9.411952 | 8.982862 | 9.123022 | 9.327261 | 8.679368 |
0709.0261
|
Antonio Padilla
|
Edmund J. Copeland, Antonio Padilla and Paul M. Saffin
|
No resonant tunneling in standard scalar quantum field theory
|
Section added and both introduction and conclusions expanded in order
to clarify a number of points. References added. Minor change to title
|
JHEP 0801:066,2008
|
10.1088/1126-6708/2008/01/066
| null |
hep-th
| null |
We investigate the nature of resonant tunneling in Quantum Field Theory.
Following the pioneering work of Banks, Bender and Wu, we describe quantum
field theory in terms of infinite dimensional quantum mechanics and utilize the
``Most probable escape path'' (MPEP) as the class of paths which dominate the
path integral in the classically forbidden region. Considering a 1+1
dimensional field theory example we show that there are five conditions that
any associated bound state in the classically allowed region must satisfy if
resonant tunnelling is to occur, and we then proceed to show that it is
impossible to satisfy all five conditions simultaneously.
|
[
{
"created": "Mon, 3 Sep 2007 15:42:58 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Oct 2007 15:25:01 GMT",
"version": "v2"
}
] |
2009-06-11
|
[
[
"Copeland",
"Edmund J.",
""
],
[
"Padilla",
"Antonio",
""
],
[
"Saffin",
"Paul M.",
""
]
] |
We investigate the nature of resonant tunneling in Quantum Field Theory. Following the pioneering work of Banks, Bender and Wu, we describe quantum field theory in terms of infinite dimensional quantum mechanics and utilize the ``Most probable escape path'' (MPEP) as the class of paths which dominate the path integral in the classically forbidden region. Considering a 1+1 dimensional field theory example we show that there are five conditions that any associated bound state in the classically allowed region must satisfy if resonant tunnelling is to occur, and we then proceed to show that it is impossible to satisfy all five conditions simultaneously.
| 10.923702 | 11.720371 | 10.772535 | 10.390663 | 11.533227 | 10.868075 | 12.808303 | 10.425902 | 10.758771 | 11.076575 | 10.540964 | 10.391993 | 10.142241 | 10.126978 | 10.160119 | 10.378457 | 9.876225 | 10.089719 | 9.332114 | 10.181216 | 10.125303 |
1008.2963
|
Jeff Harvey
|
Sophia K. Domokos, Jeffrey A. Harvey and Nelia Mann
|
Setting the scale of the p p and p bar p total cross sections using
AdS/QCD
|
8 pages
|
Phys.Rev.D82:106007,2010
|
10.1103/PhysRevD.82.106007
|
EFI-10-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper is an addendum to our earlier paper \cite{pom} where we computed
the Pomeron contribution to $p ~ p$ and $p ~ \bar p$ scattering in AdS/QCD. The
model of \cite{pom} depends on four parameters: the slope and intercept of the
Pomeron trajectory $\alpha'_c, \alpha_c(0)$, a mass scale $M_d$ which
determines a form factor entering into matrix elements of the energy-momentum
tensor, and a coupling $\lambda_{\cal P}$ between the lightest spin $2$
glueball and the proton which sets the overall scale of the total cross
section. Here we perform a more detailed computation of $\lambda_{\cal P}$ in
the Sakai-Sugimoto model using the construction of nucleons as instantons of
the dual 5d gauge theory and an effective 5d fermion description of these
nucleons which has been successfully used to compute a variety of nucleon-meson
couplings. We find $\lambda_{\cal P,{\rm SS}} \simeq 6.38 ~ {\rm GeV}^{-1}$
which is in reasonable agreement with the value $\lambda_{{\cal P},{\rm fit}} =
8.28 ~ {\rm GeV}^{-1}$ determined by fitting single Pomeron exchange to data.
|
[
{
"created": "Tue, 17 Aug 2010 20:04:28 GMT",
"version": "v1"
}
] |
2010-12-09
|
[
[
"Domokos",
"Sophia K.",
""
],
[
"Harvey",
"Jeffrey A.",
""
],
[
"Mann",
"Nelia",
""
]
] |
This paper is an addendum to our earlier paper \cite{pom} where we computed the Pomeron contribution to $p ~ p$ and $p ~ \bar p$ scattering in AdS/QCD. The model of \cite{pom} depends on four parameters: the slope and intercept of the Pomeron trajectory $\alpha'_c, \alpha_c(0)$, a mass scale $M_d$ which determines a form factor entering into matrix elements of the energy-momentum tensor, and a coupling $\lambda_{\cal P}$ between the lightest spin $2$ glueball and the proton which sets the overall scale of the total cross section. Here we perform a more detailed computation of $\lambda_{\cal P}$ in the Sakai-Sugimoto model using the construction of nucleons as instantons of the dual 5d gauge theory and an effective 5d fermion description of these nucleons which has been successfully used to compute a variety of nucleon-meson couplings. We find $\lambda_{\cal P,{\rm SS}} \simeq 6.38 ~ {\rm GeV}^{-1}$ which is in reasonable agreement with the value $\lambda_{{\cal P},{\rm fit}} = 8.28 ~ {\rm GeV}^{-1}$ determined by fitting single Pomeron exchange to data.
| 5.853676 | 6.025544 | 5.864661 | 5.670872 | 6.360843 | 6.154335 | 6.022274 | 6.052207 | 5.62167 | 6.416372 | 5.869853 | 5.660528 | 5.63608 | 5.626177 | 5.666542 | 5.657514 | 5.609455 | 5.745061 | 5.66459 | 5.60443 | 5.615647 |
1609.07507
|
Mikhail Malyshev
|
M.Yu. Malyshev, E.V. Prokhvatilov, R.A. Zubov, V.A. Franke
|
Construction of Perturbatively Correct Light Front Hamiltonian for
(2+1)-Dimensional Gauge Theory
|
LaTeX, 15 pages, 3 figures. Article will be published in Theoretical
and Mathematical Physics, the final publication will be available at
http://link.springer.com/journal/11232
|
Theor. Math. Phys. (2017) 190, 411-423
|
10.1134/S0040577917030102
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider (2+1)-dimensional SU(N)-symmetric gauge theory
within light front perturbation theory, regularized by the method analogous to
Pauli-Villars regularization. This enables us to construct correct renormalized
light front Hamiltonian.
|
[
{
"created": "Fri, 23 Sep 2016 20:49:46 GMT",
"version": "v1"
}
] |
2017-05-17
|
[
[
"Malyshev",
"M. Yu.",
""
],
[
"Prokhvatilov",
"E. V.",
""
],
[
"Zubov",
"R. A.",
""
],
[
"Franke",
"V. A.",
""
]
] |
In this paper we consider (2+1)-dimensional SU(N)-symmetric gauge theory within light front perturbation theory, regularized by the method analogous to Pauli-Villars regularization. This enables us to construct correct renormalized light front Hamiltonian.
| 11.266935 | 9.076687 | 10.024091 | 8.071402 | 8.81724 | 9.262074 | 9.003359 | 9.022979 | 9.23516 | 10.264211 | 8.661444 | 9.097833 | 10.032351 | 8.846608 | 9.258565 | 9.58744 | 9.449309 | 9.068281 | 9.002131 | 10.055527 | 8.941244 |
hep-th/9312001
|
Satoshi Iso
|
Hiroo Azuma and Satoshi Iso
|
Explicit Relation of Quantum Hall Effect and Calogero-Sutherland Model
|
10 pages
|
Phys.Lett. B331 (1994) 107-113
|
10.1016/0370-2693(94)90949-0
|
UT-660
|
hep-th cond-mat
| null |
Explicit relation between Laughlin state of the quantum Hall effect and
one-dimensional(1D) model with long-ranged interaction ($1/r^2$) is discussed.
By rewriting lowest Landau level wave functions in terms of 1D representation,
Laughlin state can be written as a deformation of the ground state of
Calogero-Sutherland model. Corresponding to Laughlin state on different
geometries, different types of 1D $1/r^2$ interaction models are derived.
|
[
{
"created": "Wed, 1 Dec 1993 08:05:40 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Azuma",
"Hiroo",
""
],
[
"Iso",
"Satoshi",
""
]
] |
Explicit relation between Laughlin state of the quantum Hall effect and one-dimensional(1D) model with long-ranged interaction ($1/r^2$) is discussed. By rewriting lowest Landau level wave functions in terms of 1D representation, Laughlin state can be written as a deformation of the ground state of Calogero-Sutherland model. Corresponding to Laughlin state on different geometries, different types of 1D $1/r^2$ interaction models are derived.
| 8.635908 | 8.193273 | 8.924449 | 7.790513 | 8.324154 | 8.132622 | 8.039006 | 8.150567 | 7.595536 | 9.130017 | 7.76796 | 7.98675 | 8.400727 | 7.707205 | 7.955612 | 8.211538 | 7.912638 | 8.039325 | 7.724569 | 8.255902 | 7.958047 |
1907.04466
|
Guangzhou Guo
|
Qingyu Gan, Guangzhou Guo, Peng Wang and Houwen Wu
|
Strong Cosmic Censorship for a Scalar Field in a Born-Infeld-de Sitter
Black Hole
|
19 pages, 7 figures
|
Phys. Rev. D 100, 124009 (2019)
|
10.1103/PhysRevD.100.124009
|
CTP-SCU/2019012
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been shown that the Strong Cosmic Censorship (SCC) can be violated by
a scalar field in a near-extremal Reissner-Nordstrom-de Sitter black hole. In
this paper, we investigate the Strong Cosmic Censorship in a Born-Infeld-de
Sitter black hole by a scalar perturbation field with/without a charge. When
the Born-Infeld parameter b becomes small, the nonlinear electrodynamics effect
starts to play an important role and tends to rescue SCC. Specifically, we find
that the SCC violation region decreases in size with decreasing b. Moreover,
for a sufficiently small b, SCC can always be restored in a near-extremal
Born-Infeld-de Sitter black hole with a fixed charge ratio.
|
[
{
"created": "Wed, 10 Jul 2019 00:21:21 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2019 08:28:26 GMT",
"version": "v2"
}
] |
2019-12-11
|
[
[
"Gan",
"Qingyu",
""
],
[
"Guo",
"Guangzhou",
""
],
[
"Wang",
"Peng",
""
],
[
"Wu",
"Houwen",
""
]
] |
It has been shown that the Strong Cosmic Censorship (SCC) can be violated by a scalar field in a near-extremal Reissner-Nordstrom-de Sitter black hole. In this paper, we investigate the Strong Cosmic Censorship in a Born-Infeld-de Sitter black hole by a scalar perturbation field with/without a charge. When the Born-Infeld parameter b becomes small, the nonlinear electrodynamics effect starts to play an important role and tends to rescue SCC. Specifically, we find that the SCC violation region decreases in size with decreasing b. Moreover, for a sufficiently small b, SCC can always be restored in a near-extremal Born-Infeld-de Sitter black hole with a fixed charge ratio.
| 5.145949 | 5.138129 | 4.493745 | 4.565722 | 4.834652 | 4.758651 | 5.138971 | 4.603713 | 4.995049 | 4.948323 | 4.841368 | 4.702552 | 4.768556 | 4.68278 | 4.852829 | 4.73803 | 4.873052 | 4.856069 | 4.731884 | 5.113862 | 4.903511 |
1312.6230
|
Robert de Mello Koch
|
Robert de Mello Koch, Stuart Graham and Wandile Mabanga
|
Subleading corrections to the Double Coset Ansatz preserve integrability
|
1 + 39 pages; v2: references added
| null |
10.1007/JHEP02(2014)079
|
WITS-CTP-123
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article we compute the anomalous dimensions for a class of operators,
belonging to the SU(3) sector of the theory, that have a bare dimension of
order N. For these operators the large N limit and the planar limit are
distinct and summing only the planar diagrams will not capture the large N
dynamics. Although the spectrum of anomalous dimensions has been computed for
this class of operators, previous studies have neglected certain terms which
were argued to be small. After dropping these terms diagonalizing the
dilatation operator reduces to diagonalizing a set of decoupled oscillators. In
this article we explicitly compute the terms which were neglected previously
and show that diagonalizing the dilatation operator still reduces to
diagonalizing a set of decoupled oscillators.
|
[
{
"created": "Sat, 21 Dec 2013 10:01:14 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2014 09:21:12 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Koch",
"Robert de Mello",
""
],
[
"Graham",
"Stuart",
""
],
[
"Mabanga",
"Wandile",
""
]
] |
In this article we compute the anomalous dimensions for a class of operators, belonging to the SU(3) sector of the theory, that have a bare dimension of order N. For these operators the large N limit and the planar limit are distinct and summing only the planar diagrams will not capture the large N dynamics. Although the spectrum of anomalous dimensions has been computed for this class of operators, previous studies have neglected certain terms which were argued to be small. After dropping these terms diagonalizing the dilatation operator reduces to diagonalizing a set of decoupled oscillators. In this article we explicitly compute the terms which were neglected previously and show that diagonalizing the dilatation operator still reduces to diagonalizing a set of decoupled oscillators.
| 6.584511 | 5.050563 | 7.2937 | 5.216837 | 5.222734 | 5.395484 | 5.319793 | 5.276256 | 5.497015 | 7.065784 | 5.584846 | 5.694011 | 6.794892 | 5.918536 | 5.71406 | 5.711808 | 5.697485 | 5.915112 | 5.893496 | 6.472136 | 5.899595 |
1811.01473
|
Zhong-Ying Fan
|
Zhong-Ying Fan, Minyong Guo
|
Holographic complexity under a global quantum quench
|
To appear in NPB, published version; 41+15 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There are several different proposals, relating holographic complexity to the
gravitational objects defined on the Wheeler-DeWitt patch. In this paper, we
investigate the evolution of complexity following a global quantum quench for
these proposals. We find that surprisingly they all reproduce known properties
of complexity, such as the switchback effect. However, each of these proposals
also has its own characteristic features during the dynamical evolution, which
may serve as a powerful tool to distinguish the various holographic duals of
complexity.
|
[
{
"created": "Mon, 5 Nov 2018 01:25:17 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Oct 2019 13:48:04 GMT",
"version": "v2"
}
] |
2019-10-25
|
[
[
"Fan",
"Zhong-Ying",
""
],
[
"Guo",
"Minyong",
""
]
] |
There are several different proposals, relating holographic complexity to the gravitational objects defined on the Wheeler-DeWitt patch. In this paper, we investigate the evolution of complexity following a global quantum quench for these proposals. We find that surprisingly they all reproduce known properties of complexity, such as the switchback effect. However, each of these proposals also has its own characteristic features during the dynamical evolution, which may serve as a powerful tool to distinguish the various holographic duals of complexity.
| 11.403947 | 8.545045 | 11.925358 | 8.798234 | 8.396895 | 7.711921 | 8.066091 | 8.485064 | 8.589659 | 10.860682 | 8.830989 | 8.704086 | 10.396042 | 9.181758 | 8.646751 | 8.589659 | 8.42992 | 9.004203 | 8.992386 | 9.735077 | 8.923469 |
hep-th/0602110
|
Ian Low
|
Joshua Erlich, Graham D. Kribs, and Ian Low
|
Emerging Holography
|
19 pages, 1 figure; v2: references and minor corrections added. now
20 pages; v3: derivation of Jacobi polynomials clarified as well as
simplified. version to appear on PRD
|
Phys.Rev.D73:096001,2006
|
10.1103/PhysRevD.73.096001
| null |
hep-th hep-ph
| null |
We rederive AdS/CFT predictions for infrared two-point functions by an
entirely four dimensional approach, without reference to holography. This
approach, originally due to Migdal in the context of QCD, utilizes an
extrapolation from the ultraviolet to the infrared using a Pade approximation
of the two-point function. We show that the Pade approximation and AdS/CFT give
the same leading order predictions, and discuss including power corrections
such as those due to condensates of gluons and quarks in QCD. At finite order
the Pade approximation provides a gauge invariant regularization of a higher
dimensional gauge theory in the spirit of deconstructed extra dimensions. The
radial direction of anti-de Sitter space emerges naturally in this approach.
|
[
{
"created": "Mon, 13 Feb 2006 19:22:22 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Mar 2006 21:09:50 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Apr 2006 22:28:03 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Erlich",
"Joshua",
""
],
[
"Kribs",
"Graham D.",
""
],
[
"Low",
"Ian",
""
]
] |
We rederive AdS/CFT predictions for infrared two-point functions by an entirely four dimensional approach, without reference to holography. This approach, originally due to Migdal in the context of QCD, utilizes an extrapolation from the ultraviolet to the infrared using a Pade approximation of the two-point function. We show that the Pade approximation and AdS/CFT give the same leading order predictions, and discuss including power corrections such as those due to condensates of gluons and quarks in QCD. At finite order the Pade approximation provides a gauge invariant regularization of a higher dimensional gauge theory in the spirit of deconstructed extra dimensions. The radial direction of anti-de Sitter space emerges naturally in this approach.
| 10.405807 | 10.963651 | 9.786122 | 9.364615 | 10.417899 | 10.041863 | 9.349289 | 10.462193 | 9.951543 | 12.319273 | 9.803721 | 9.801906 | 9.790286 | 9.692425 | 9.928576 | 10.137003 | 9.987541 | 9.856216 | 9.704825 | 9.91314 | 9.695656 |
1712.03783
|
Wung-Hong Huang
|
Wung-Hong Huang
|
Entanglement Entropy of Compactified Branes and Phase Transition
|
Latex 14 pages. Add 2 figures, some derivations, discussions and
references
|
Gen. Relativ. Gravit. 51 (2019) 27
|
10.1007/s10714-019-2513-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We first calculate the holographic entanglement entropy of M5 branes on a
circle and see that it has phase transition during decreasing the compactified
radius. In particular, it is shown that the entanglement entropy scales as
$N^3$. Next, we investigate the holographic entanglement entropy of D0+D4
system on a circle and see that it scales as $N^2$ at low energy, likes as a
gauge theory with instantons. However, at high energy it transforms to a phase
which scales as $N^3$, like as M5 branes system. We also present the general
form of holographic entanglement entropy of Dp, ${\rm D_p+D_{p+4}}$ and
M-branes on a circle and see some simple relations between them. Finally, we
present an analytic method to prove that they all have phase transition from
connected to disconnected surface during increasing the line segment of length
$\ell$ which dividing the space.
|
[
{
"created": "Mon, 11 Dec 2017 14:11:11 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Dec 2017 08:19:09 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Dec 2018 07:36:46 GMT",
"version": "v3"
}
] |
2019-02-27
|
[
[
"Huang",
"Wung-Hong",
""
]
] |
We first calculate the holographic entanglement entropy of M5 branes on a circle and see that it has phase transition during decreasing the compactified radius. In particular, it is shown that the entanglement entropy scales as $N^3$. Next, we investigate the holographic entanglement entropy of D0+D4 system on a circle and see that it scales as $N^2$ at low energy, likes as a gauge theory with instantons. However, at high energy it transforms to a phase which scales as $N^3$, like as M5 branes system. We also present the general form of holographic entanglement entropy of Dp, ${\rm D_p+D_{p+4}}$ and M-branes on a circle and see some simple relations between them. Finally, we present an analytic method to prove that they all have phase transition from connected to disconnected surface during increasing the line segment of length $\ell$ which dividing the space.
| 8.436557 | 7.929695 | 8.782969 | 8.363316 | 9.029366 | 8.628014 | 8.655043 | 8.180574 | 8.093834 | 9.113773 | 8.22823 | 7.918911 | 8.002338 | 8.093971 | 8.042088 | 8.130236 | 7.881372 | 8.105032 | 8.249088 | 8.372167 | 7.89439 |
hep-th/0109212
|
Olalla Castro
|
Olalla A. Castro-Alvaredo
|
Bootstrap Methods in 1+1-Dimensional Quantum Field Theories: The
Homogeneous Sine-Gordon Models
|
PhD thesis, Latex, 228 pages and 26 figures
| null | null | null |
hep-th
| null |
The bootstrap program for 1+1-dimensional integrable Quantum Field Theories
(QFT's) is developed to a large extent for the Homogeneous sine-Gordon (HSG)
models. This program can be divided into various steps, which include the
computation of the exact S-matrix, Form Factors of local operators and
correlation functions, as well as the identification of the operator content of
the QFT and the development of various consistency checks. Taking as an input
the S-matrix proposal for the HSG-models, we confirm its consistency by
carrying out both a Thermodynamic Bethe Ansatz (TBA) and a Form Factor
analysis. In contrast to many other 1+1-dimensional integrable models studied
in the literature, the HSG-models break parity, both at the level of the
Lagrangian and S-matrix, and their spectrum includes unstable particles. These
features have specific consequences in our analysis which are given a physical
interpretation. By exploiting the Form Factor approach, we develop further the
QFT advocated to the HSG-models. We evaluate correlation functions of various
local operators of the model as well as Zamolodchikov's c-function and
$\Delta$-sum rules. For the $SU(3)_2$-HSG model we show how the form factors of
different local operators are interrelated by means of the momentum space
cluster property. We find closed formulae for all $n$-particle form factors of
a large class of operators of the $SU(N)_2$-HSG models. These formulae are
expressed in terms of universal building blocks which allow both a determinant
and an integral representation.
|
[
{
"created": "Thu, 27 Sep 2001 17:42:31 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Castro-Alvaredo",
"Olalla A.",
""
]
] |
The bootstrap program for 1+1-dimensional integrable Quantum Field Theories (QFT's) is developed to a large extent for the Homogeneous sine-Gordon (HSG) models. This program can be divided into various steps, which include the computation of the exact S-matrix, Form Factors of local operators and correlation functions, as well as the identification of the operator content of the QFT and the development of various consistency checks. Taking as an input the S-matrix proposal for the HSG-models, we confirm its consistency by carrying out both a Thermodynamic Bethe Ansatz (TBA) and a Form Factor analysis. In contrast to many other 1+1-dimensional integrable models studied in the literature, the HSG-models break parity, both at the level of the Lagrangian and S-matrix, and their spectrum includes unstable particles. These features have specific consequences in our analysis which are given a physical interpretation. By exploiting the Form Factor approach, we develop further the QFT advocated to the HSG-models. We evaluate correlation functions of various local operators of the model as well as Zamolodchikov's c-function and $\Delta$-sum rules. For the $SU(3)_2$-HSG model we show how the form factors of different local operators are interrelated by means of the momentum space cluster property. We find closed formulae for all $n$-particle form factors of a large class of operators of the $SU(N)_2$-HSG models. These formulae are expressed in terms of universal building blocks which allow both a determinant and an integral representation.
| 7.746135 | 6.857798 | 7.809628 | 6.84005 | 6.48587 | 6.90583 | 6.76141 | 6.663882 | 6.935256 | 8.419642 | 6.75586 | 7.244141 | 7.480339 | 6.981937 | 7.121922 | 7.053491 | 7.101718 | 7.025177 | 6.963888 | 7.280838 | 6.97503 |
hep-th/0305223
|
Yong Zhang
|
Yong Zhang (ITP, University Leipzig)
|
Conformal Transformations of S-Matrix in Scalar Field Theory
|
v1: 37 pages with revtex4; 4 figures, one using the feynmf package,
others using the axodraw package. v2: the first version, except that the
feynmf package was removed. v3: added references
|
Eur.Phys.J.C31:103-122,2003
|
10.1140/epjc/s2003-01317-y
| null |
hep-th
| null |
In this paper, three methods for describing the conformal transformations of
the S-matrix in quantum field theory are proposed. They are illustrated by
applying the algebraic renormalization procedure to the quantum scalar field
theory, defined by the LSZ reduction mechanism in the BPHZ renormalization
scheme. Central results are shown to be independent of scheme choices and
derived to all orders in loop expansions. Firstly, the local Callan-Symanzik
equation is constructed, in which the insertion of the trace of the
energy-momentum tensor is related to the beta function and the anomalous
dimension. With this result, the Ward identities for the conformal
transformations of the Green functions are derived. Then the conformal
transformations of the S-matrix defined by the LSZ reduction procedure are
calculated. Secondly, the conformal transformations of the S-matrix in the
functional formalism are related to charge constructions. The commutators
between the charges and the S-matrix operator are written in a compact way to
represent the conformal transformations of the S-matrix. Lastly, the massive
scalar field theory with local coupling is introduced in order to control
breaking of the conformal invariance further. The conformal transformations of
the S-matrix with local coupling are calculated.
|
[
{
"created": "Mon, 26 May 2003 12:15:58 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jun 2003 11:54:05 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Dec 2003 08:00:40 GMT",
"version": "v3"
}
] |
2011-09-13
|
[
[
"Zhang",
"Yong",
"",
"ITP, University Leipzig"
]
] |
In this paper, three methods for describing the conformal transformations of the S-matrix in quantum field theory are proposed. They are illustrated by applying the algebraic renormalization procedure to the quantum scalar field theory, defined by the LSZ reduction mechanism in the BPHZ renormalization scheme. Central results are shown to be independent of scheme choices and derived to all orders in loop expansions. Firstly, the local Callan-Symanzik equation is constructed, in which the insertion of the trace of the energy-momentum tensor is related to the beta function and the anomalous dimension. With this result, the Ward identities for the conformal transformations of the Green functions are derived. Then the conformal transformations of the S-matrix defined by the LSZ reduction procedure are calculated. Secondly, the conformal transformations of the S-matrix in the functional formalism are related to charge constructions. The commutators between the charges and the S-matrix operator are written in a compact way to represent the conformal transformations of the S-matrix. Lastly, the massive scalar field theory with local coupling is introduced in order to control breaking of the conformal invariance further. The conformal transformations of the S-matrix with local coupling are calculated.
| 7.539389 | 7.797312 | 7.905269 | 7.609673 | 7.671024 | 7.757028 | 7.731227 | 7.608103 | 7.49643 | 8.1222 | 7.169753 | 7.449549 | 7.445188 | 7.222425 | 7.25837 | 7.368451 | 7.419167 | 7.50612 | 7.070797 | 7.672182 | 7.240022 |
1403.6479
|
Francisco Correa
|
Francisco Correa, Mokhtar Hassaine and Julio Oliva
|
Black holes in New Massive Gravity dressed by a (non)minimally coupled
scalar field
|
5 pages
|
Phys. Rev. D 89, 124005 (2014)
|
10.1103/PhysRevD.89.124005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a self-interacting, massive scalar field (non)minimally coupled
to new massive gravity in three dimensions. For this model, we first derive a
family of black hole solutions depending on a unique integration constant and
parameterized in terms of the nonminimal coupling parameter. Imposing the
absence of naked singularities restricts the parameters in such a way that the
field vanishes at infinity and fixes the metric to be asymptotically AdS.
Within this family of solutions it is possible to find a black hole supported
by a minimally coupled scalar field and therefore the existence of these
solutions is not inherent to the presence of the nonminimal coupling. The Wald
formula for the entropy, being proportional to the lapse function evaluated at
the horizon, yields a zero entropy in spite of the fact that the solution has a
non zero temperature. As a consequence, the unique integration constant may be
interpreted as a sort of gravitational hair. As in the source free case, we
show that the same field equations admit as well asymptotically Lifshitz black
hole solutions in a different region of the space of parameters. These Lifshitz
solutions are divided in three families for which all the parameters entering
in the action may be expressed in term of the dynamical exponent.
|
[
{
"created": "Tue, 25 Mar 2014 20:03:20 GMT",
"version": "v1"
}
] |
2014-06-11
|
[
[
"Correa",
"Francisco",
""
],
[
"Hassaine",
"Mokhtar",
""
],
[
"Oliva",
"Julio",
""
]
] |
We consider a self-interacting, massive scalar field (non)minimally coupled to new massive gravity in three dimensions. For this model, we first derive a family of black hole solutions depending on a unique integration constant and parameterized in terms of the nonminimal coupling parameter. Imposing the absence of naked singularities restricts the parameters in such a way that the field vanishes at infinity and fixes the metric to be asymptotically AdS. Within this family of solutions it is possible to find a black hole supported by a minimally coupled scalar field and therefore the existence of these solutions is not inherent to the presence of the nonminimal coupling. The Wald formula for the entropy, being proportional to the lapse function evaluated at the horizon, yields a zero entropy in spite of the fact that the solution has a non zero temperature. As a consequence, the unique integration constant may be interpreted as a sort of gravitational hair. As in the source free case, we show that the same field equations admit as well asymptotically Lifshitz black hole solutions in a different region of the space of parameters. These Lifshitz solutions are divided in three families for which all the parameters entering in the action may be expressed in term of the dynamical exponent.
| 7.503663 | 7.415821 | 7.322427 | 7.013957 | 7.350056 | 7.346809 | 7.717553 | 7.103317 | 7.041523 | 8.031296 | 7.2108 | 7.009208 | 7.314548 | 7.084711 | 6.972148 | 7.058666 | 6.947188 | 7.082827 | 7.015362 | 7.205038 | 7.167705 |
1804.00319
|
Jos\'e M. Figueroa-O'Farrill
|
Paul de Medeiros, Jos\'e Figueroa-O'Farrill, Andrea Santi
|
Killing superalgebras for Lorentzian six-manifolds
|
38 pages (final version to appear in Journal of Geometry and Physics)
|
J. Geom. Phys. 132 (2018), 13-44
|
10.1016/j.geomphys.2018.05.019
|
EMPG-17-21
|
hep-th math.DG math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the Spencer cohomology of the $(1,0)$ Poincar\'e superalgebras
in six dimensions: with and without R-symmetry. As the cases of four and eleven
dimensions taught us, we may read off from this calculation a Killing spinor
equation which allows the determination of which geometries admit rigidly
supersymmetric theories in this dimension. We prove that the resulting Killing
spinors generate a Lie superalgebra and determine the geometries admitting the
maximal number of such Killing spinors. They are divided in two branches. One
branch consists of the lorentzian Lie groups with bi-invariant metrics and, as
a special case, it includes the lorentzian Lie groups with a self-dual Cartan
three-form which define the maximally supersymmetric backgrounds of $(1,0)$
Poincar\'e supergravity in six dimensions. The notion of Killing spinor on the
other branch does not depend on the choice of a three-form but rather on a
one-form valued in the R-symmetry algebra. In this case, we obtain three
different (up to local isometry) maximally supersymmetric backgrounds, which
are distinguished by the causal type of the one-form.
|
[
{
"created": "Sun, 1 Apr 2018 17:08:37 GMT",
"version": "v1"
},
{
"created": "Mon, 21 May 2018 15:04:33 GMT",
"version": "v2"
}
] |
2018-08-01
|
[
[
"de Medeiros",
"Paul",
""
],
[
"Figueroa-O'Farrill",
"José",
""
],
[
"Santi",
"Andrea",
""
]
] |
We calculate the Spencer cohomology of the $(1,0)$ Poincar\'e superalgebras in six dimensions: with and without R-symmetry. As the cases of four and eleven dimensions taught us, we may read off from this calculation a Killing spinor equation which allows the determination of which geometries admit rigidly supersymmetric theories in this dimension. We prove that the resulting Killing spinors generate a Lie superalgebra and determine the geometries admitting the maximal number of such Killing spinors. They are divided in two branches. One branch consists of the lorentzian Lie groups with bi-invariant metrics and, as a special case, it includes the lorentzian Lie groups with a self-dual Cartan three-form which define the maximally supersymmetric backgrounds of $(1,0)$ Poincar\'e supergravity in six dimensions. The notion of Killing spinor on the other branch does not depend on the choice of a three-form but rather on a one-form valued in the R-symmetry algebra. In this case, we obtain three different (up to local isometry) maximally supersymmetric backgrounds, which are distinguished by the causal type of the one-form.
| 8.852917 | 8.949155 | 10.157673 | 8.251869 | 7.995239 | 8.605824 | 8.455147 | 8.367686 | 8.439773 | 10.188982 | 7.629894 | 8.125373 | 8.651345 | 8.185059 | 8.074532 | 8.400227 | 8.080448 | 8.040694 | 8.209446 | 8.515495 | 8.225196 |
1611.06220
|
Alex May
|
Alex May
|
Tensor networks for dynamic spacetimes
| null |
J. High Energ. Phys. (2017) 2017: 118
|
10.1007/JHEP06(2017)118
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Existing tensor network models of holography are limited to representing the
geometry of constant time slices of static spacetimes. We study the possibility
of describing the geometry of a dynamic spacetime using tensor networks. We
find it is necessary to give a new definition of length in the network and
propose a definition based on the mutual information. We show that by
associating a set of networks with a single quantum state and making use of the
mutual information based definition of length, a network analogue of the
maximin formula can be used to calculate the entropy of boundary regions.
|
[
{
"created": "Fri, 18 Nov 2016 20:52:32 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2016 00:45:38 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Apr 2017 02:30:09 GMT",
"version": "v3"
},
{
"created": "Fri, 19 May 2017 18:56:24 GMT",
"version": "v4"
}
] |
2019-10-24
|
[
[
"May",
"Alex",
""
]
] |
Existing tensor network models of holography are limited to representing the geometry of constant time slices of static spacetimes. We study the possibility of describing the geometry of a dynamic spacetime using tensor networks. We find it is necessary to give a new definition of length in the network and propose a definition based on the mutual information. We show that by associating a set of networks with a single quantum state and making use of the mutual information based definition of length, a network analogue of the maximin formula can be used to calculate the entropy of boundary regions.
| 10.25526 | 10.213379 | 11.438294 | 9.157598 | 9.369255 | 10.000176 | 9.974783 | 9.86663 | 9.117649 | 11.359855 | 9.050248 | 9.263281 | 9.961396 | 9.434508 | 9.325018 | 9.455071 | 9.207848 | 9.499719 | 9.739791 | 10.239685 | 9.478697 |
1310.7999
|
David A. Lowe
|
Steven G. Avery and David A. Lowe
|
Event horizons and holography
|
7 pages, 1 figure
| null | null |
BROWN-HET-1647
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the microcanonical ensemble of black holes in gravitational
theories in asymptotically anti-de Sitter spacetime with a conformal field
theory dual. We argue that typical quantum black hole states show no violations
of general covariance on the horizon.
|
[
{
"created": "Wed, 30 Oct 2013 01:51:00 GMT",
"version": "v1"
}
] |
2013-10-31
|
[
[
"Avery",
"Steven G.",
""
],
[
"Lowe",
"David A.",
""
]
] |
We consider the microcanonical ensemble of black holes in gravitational theories in asymptotically anti-de Sitter spacetime with a conformal field theory dual. We argue that typical quantum black hole states show no violations of general covariance on the horizon.
| 11.260961 | 8.718714 | 10.239084 | 9.229223 | 8.603274 | 9.06469 | 8.763674 | 9.092307 | 8.9252 | 11.352759 | 8.687528 | 9.535906 | 10.425704 | 9.767836 | 9.588635 | 10.171865 | 9.8432 | 10.147169 | 9.621463 | 10.42467 | 9.259739 |
hep-th/9608107
|
Henrik Aratyn
|
H. Aratyn and C. Rasinariu
|
Manifestly Supersymmetric Lax Integrable Hierarchies
|
LaTeX, 10 pgs
|
Phys.Lett. B391 (1997) 99-106
|
10.1016/S0370-2693(96)01463-3
|
UICHEP-TH/96-15
|
hep-th nlin.SI solv-int
| null |
A systematic method of constructing manifestly supersymmetric
$1+1$-dimensional KP Lax hierarchies is presented. Closed expressions for the
Lax operators in terms of superfield eigenfunctions are obtained. All hierarchy
equations being eigenfunction equations are shown to be automatically invariant
under the (extended) supersymmetry. The supersymmetric Lax models existing in
the literature are found to be contained (up to a gauge equivalence) in our
formalism.
|
[
{
"created": "Thu, 15 Aug 1996 20:42:15 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Aratyn",
"H.",
""
],
[
"Rasinariu",
"C.",
""
]
] |
A systematic method of constructing manifestly supersymmetric $1+1$-dimensional KP Lax hierarchies is presented. Closed expressions for the Lax operators in terms of superfield eigenfunctions are obtained. All hierarchy equations being eigenfunction equations are shown to be automatically invariant under the (extended) supersymmetry. The supersymmetric Lax models existing in the literature are found to be contained (up to a gauge equivalence) in our formalism.
| 12.719557 | 11.321175 | 13.50088 | 10.492279 | 11.310437 | 11.557287 | 10.336888 | 11.581615 | 10.240935 | 12.864576 | 10.801487 | 9.397618 | 10.04799 | 9.687063 | 9.533312 | 9.938146 | 9.437081 | 10.054163 | 9.749941 | 10.322897 | 9.78128 |
0810.2405
|
Gianmassimo Tasinato
|
Sebastien Renaux-Petel, Gianmassimo Tasinato
|
Nonlinear perturbations of cosmological scalar fields with non-standard
kinetic terms
|
31 pages, no figures. Discussion on multi-field DBI inflation added.
Version to be published in JCAP
|
JCAP 0901:012,2009
|
10.1088/1475-7516/2009/01/012
| null |
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We adopt a covariant formalism to derive exact evolution equations for
nonlinear perturbations, in a universe dominated by two scalar fields. These
scalar fields are characterized by non-canonical kinetic terms and an arbitrary
field space metric, a situation typically encountered in inflationary models
inspired by string theory. We decompose the nonlinear scalar perturbations into
adiabatic and entropy modes, generalizing the definition adopted in the linear
theory, and we derive the corresponding exact evolution equations. We also
obtain a nonlinear generalization of the curvature perturbation on uniform
density hypersurfaces, showing that on large scales it is sourced only by the
nonlinear version of the entropy perturbation. We then expand these equations
to second order in the perturbations, using a coordinate based formalism. Our
results are relatively compact and elegant and enable one to identify the new
effects coming from the non-canonical structure of the scalar fields
Lagrangian. We also explain how to analyze, in our formalism, the interesting
scenario of multifield Dirac-Born-Infeld inflation.
|
[
{
"created": "Tue, 14 Oct 2008 10:09:43 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2008 11:19:51 GMT",
"version": "v2"
}
] |
2009-01-23
|
[
[
"Renaux-Petel",
"Sebastien",
""
],
[
"Tasinato",
"Gianmassimo",
""
]
] |
We adopt a covariant formalism to derive exact evolution equations for nonlinear perturbations, in a universe dominated by two scalar fields. These scalar fields are characterized by non-canonical kinetic terms and an arbitrary field space metric, a situation typically encountered in inflationary models inspired by string theory. We decompose the nonlinear scalar perturbations into adiabatic and entropy modes, generalizing the definition adopted in the linear theory, and we derive the corresponding exact evolution equations. We also obtain a nonlinear generalization of the curvature perturbation on uniform density hypersurfaces, showing that on large scales it is sourced only by the nonlinear version of the entropy perturbation. We then expand these equations to second order in the perturbations, using a coordinate based formalism. Our results are relatively compact and elegant and enable one to identify the new effects coming from the non-canonical structure of the scalar fields Lagrangian. We also explain how to analyze, in our formalism, the interesting scenario of multifield Dirac-Born-Infeld inflation.
| 7.038601 | 6.840775 | 7.274885 | 6.926387 | 7.077947 | 7.574181 | 6.818027 | 7.008598 | 6.806883 | 7.846333 | 7.259076 | 6.727958 | 7.052748 | 6.936881 | 6.584131 | 6.857004 | 6.912334 | 6.935075 | 6.679761 | 7.156793 | 6.74246 |
hep-th/0108072
|
Sunil Mukhi
|
Sunil Mukhi (Tata Institute)
|
Star Products from Commutative String Theory
|
7 pages, harvmac (b)
|
Pramana 58:21-26,2002
|
10.1007/s12043-002-0003-x
|
TIFR/TH/01-28
|
hep-th
| null |
A boundary-state computation is performed to obtain derivative corrections to
the Chern-Simons coupling between a p-brane and the RR gauge potential C(p-3).
We work to quadratic order in the gauge field strength F, but all orders in
derivatives. In a certain limit, which requires the presence of a constant
B-field background, it is found that these corrections neatly sum up into the
*2 product of (commutative) gauge fields. The result is in agreement with a
recent prediction using noncommutativity.
|
[
{
"created": "Fri, 10 Aug 2001 14:25:19 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Mukhi",
"Sunil",
"",
"Tata Institute"
]
] |
A boundary-state computation is performed to obtain derivative corrections to the Chern-Simons coupling between a p-brane and the RR gauge potential C(p-3). We work to quadratic order in the gauge field strength F, but all orders in derivatives. In a certain limit, which requires the presence of a constant B-field background, it is found that these corrections neatly sum up into the *2 product of (commutative) gauge fields. The result is in agreement with a recent prediction using noncommutativity.
| 14.807704 | 12.662053 | 16.604128 | 12.871878 | 15.342355 | 12.601907 | 12.381837 | 12.271455 | 12.45575 | 16.24795 | 12.461722 | 13.118645 | 14.791906 | 12.813978 | 13.480677 | 13.222226 | 13.182137 | 12.680629 | 13.039546 | 14.519278 | 12.472532 |
hep-th/0512072
|
Mark Goodsell
|
Steven A. Abel and Mark D. Goodsell
|
Intersecting Brane Worlds at One Loop
|
35 pages, 3 figures; added reference, corrected typos, JHEP style
|
JHEP0602:049,2006
|
10.1088/1126-6708/2006/02/049
|
IPPP/05/75, DCPT/05/150
|
hep-th
| null |
We develop techniques for one-loop diagrams on intersecting branes. The
one-loop propagator of chiral intersection states on D6 branes is calculated
exactly and its finiteness is shown to be guaranteed by RR tadpole
cancellation. The result is used to demonstrate the expected softening of power
law running of Yukawa couplings at the string scale. We also develop methods to
calculate arbitrary N-point functions at one-loop, including those without
gauge bosons in the loop. These techniques are also applicable to heterotic
orbifold models.
|
[
{
"created": "Tue, 6 Dec 2005 16:26:40 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Dec 2005 17:02:10 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Jan 2006 16:40:45 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Abel",
"Steven A.",
""
],
[
"Goodsell",
"Mark D.",
""
]
] |
We develop techniques for one-loop diagrams on intersecting branes. The one-loop propagator of chiral intersection states on D6 branes is calculated exactly and its finiteness is shown to be guaranteed by RR tadpole cancellation. The result is used to demonstrate the expected softening of power law running of Yukawa couplings at the string scale. We also develop methods to calculate arbitrary N-point functions at one-loop, including those without gauge bosons in the loop. These techniques are also applicable to heterotic orbifold models.
| 10.157624 | 10.136005 | 9.568032 | 9.524893 | 9.606463 | 10.932895 | 10.138542 | 10.585101 | 9.531498 | 10.556635 | 9.331031 | 9.6954 | 9.666545 | 9.547073 | 9.670854 | 9.896711 | 9.760409 | 9.543427 | 9.510633 | 9.403733 | 9.308435 |
2310.02837
|
Grzegorz Plewa
|
Grzegorz Plewa
|
On extra dimensions and the cosmological constant problem
| null | null | null | null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
We consider a massive scalar field with a coordinate-dependent mass in
higher-dimensional spacetime. The field satisfies Dirichlet boundary conditions
on a brane representing the four-dimensional world. Despite being massive, the
theory is scale-invariant. We quantize the theory calculating the zero-point
energy. We find the lower bound for the uncertainty product in the uncertainty
principle. We show that the zero-point energy density could be small if large
extra dimensions exist. Identifying the zero-point energy as a source of dark
energy, we extract the four-dimensional cosmological constant from
higher-dimensional theory, considering quantum fluctuations close to the brane
surface. We examine numerically ten- and eleven-dimensional spaces. The
resulting zero-point energy is parameterized by the number of extra dimensions
and the additional dimensionless {\it saturation parameter}, expressing the
deviation from perfect saturation of the uncertainty principle. Letting the
parameter to be small and of order of the fine-structure constant, we reproduce
the experimental value of the cosmological constant in four dimensions.
|
[
{
"created": "Wed, 4 Oct 2023 14:03:56 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Nov 2023 16:22:46 GMT",
"version": "v2"
}
] |
2023-11-02
|
[
[
"Plewa",
"Grzegorz",
""
]
] |
We consider a massive scalar field with a coordinate-dependent mass in higher-dimensional spacetime. The field satisfies Dirichlet boundary conditions on a brane representing the four-dimensional world. Despite being massive, the theory is scale-invariant. We quantize the theory calculating the zero-point energy. We find the lower bound for the uncertainty product in the uncertainty principle. We show that the zero-point energy density could be small if large extra dimensions exist. Identifying the zero-point energy as a source of dark energy, we extract the four-dimensional cosmological constant from higher-dimensional theory, considering quantum fluctuations close to the brane surface. We examine numerically ten- and eleven-dimensional spaces. The resulting zero-point energy is parameterized by the number of extra dimensions and the additional dimensionless {\it saturation parameter}, expressing the deviation from perfect saturation of the uncertainty principle. Letting the parameter to be small and of order of the fine-structure constant, we reproduce the experimental value of the cosmological constant in four dimensions.
| 10.148685 | 10.866869 | 10.064296 | 10.108693 | 10.637106 | 11.641452 | 10.57025 | 10.314134 | 10.305777 | 10.951224 | 9.876947 | 9.859187 | 10.09341 | 9.901063 | 10.121526 | 10.014401 | 9.956369 | 10.08524 | 10.13614 | 10.348811 | 9.694896 |
1405.0048
|
Kory Stiffler
|
S. James Gates, Jr. and Kory Stiffler
|
Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D,
${\cal N}$ = 2 Supersymmetry Representations
|
37 pages
|
JHEP 1407 (2014) 051
|
10.1007/JHEP07(2014)051
|
UMDEPP-014-009
|
hep-th math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Evidence is presented in some examples that an adinkra quantum number,
$\chi_{\rm o}$ (arXiv:\ 0902.3830 [hep-th]), seems to play a role with regard
to off-shell 4D, $\cal N$ = 2 SUSY similar to the role of color in QCD. The
vanishing of this adinkra quantum number appears to be a condition required for
when two off-shell 4D, $\cal N$ = 1 supermultiplets form an off-shell 4D, $\cal
N$ = 2 supermultiplet. We also explicitly comment on a deformation of the Lie
bracket and anti-commutator operators that has been extensively and implicitly
used in our work on "Garden Algebras" adinkras, and codes.
|
[
{
"created": "Wed, 30 Apr 2014 22:35:01 GMT",
"version": "v1"
}
] |
2019-03-12
|
[
[
"Gates,",
"S. James",
"Jr."
],
[
"Stiffler",
"Kory",
""
]
] |
Evidence is presented in some examples that an adinkra quantum number, $\chi_{\rm o}$ (arXiv:\ 0902.3830 [hep-th]), seems to play a role with regard to off-shell 4D, $\cal N$ = 2 SUSY similar to the role of color in QCD. The vanishing of this adinkra quantum number appears to be a condition required for when two off-shell 4D, $\cal N$ = 1 supermultiplets form an off-shell 4D, $\cal N$ = 2 supermultiplet. We also explicitly comment on a deformation of the Lie bracket and anti-commutator operators that has been extensively and implicitly used in our work on "Garden Algebras" adinkras, and codes.
| 12.794862 | 11.253626 | 12.726687 | 11.133487 | 11.783558 | 12.835144 | 12.693409 | 11.489278 | 11.343146 | 14.563388 | 11.629272 | 11.921242 | 12.924744 | 12.441722 | 11.950564 | 12.04963 | 12.432909 | 12.156282 | 12.658334 | 13.404284 | 12.187756 |
hep-th/9509127
| null |
M. Gasperini
|
Status of String Cosmology: Phenomenological Aspects
|
37 pages, Plain TEX, 3 figures available by fax upon request, to
appear in Proc. of the Erice School on "String gravity and physics at the
Planck scale" (Erice, 8-19 September 1995)
| null | null |
DFTT-55/95
|
hep-th astro-ph gr-qc
| null |
I report recent studies on the evolution of perturbations in the context of
the ``pre-big-bang" scenario typical of string cosmology, with emphasis on the
formation of a stochastic background of relic photons and gravitons, and its
possible direct/indirect observable consequences. I also discuss the possible
generation of a thermal microwave background by using, as example, a simple
gravi-axio-dilaton model whose classical evolution connects smoothly
inflationary expansion to decelerated contraction. By including the quantum
back-reaction of the produced radiation the model eventually approaches the
standard radiation-dominated (constant dilaton) regime.
|
[
{
"created": "Sat, 23 Sep 1995 07:45:41 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Gasperini",
"M.",
""
]
] |
I report recent studies on the evolution of perturbations in the context of the ``pre-big-bang" scenario typical of string cosmology, with emphasis on the formation of a stochastic background of relic photons and gravitons, and its possible direct/indirect observable consequences. I also discuss the possible generation of a thermal microwave background by using, as example, a simple gravi-axio-dilaton model whose classical evolution connects smoothly inflationary expansion to decelerated contraction. By including the quantum back-reaction of the produced radiation the model eventually approaches the standard radiation-dominated (constant dilaton) regime.
| 14.999014 | 12.600915 | 12.752357 | 12.544201 | 14.525146 | 14.342916 | 14.474342 | 13.597059 | 12.871703 | 13.714063 | 12.523498 | 12.57279 | 13.055949 | 12.944183 | 13.019068 | 12.822717 | 12.594349 | 12.18679 | 13.041004 | 12.661047 | 13.266497 |
hep-th/9312120
|
Alexander Zubarev
|
A.P.Zubarev
|
$D=2$ String Theory in Target Space/World-Sheet Light-Cone Gauge
|
LATEX, 10 pages
|
Mod.Phys.Lett. A9 (1994) 3041-3052
|
10.1142/S0217732394002872
|
SMI-12-93
|
hep-th
| null |
$D=2$ free string in linear dilaton background is considered in so called
target space/world-sheet light cone gauge $ X^{+}=0,~g_{++}=0,~g_{+-}=1$. After
gauge fixing the theory has the residual Virasoro and $U(1)$ current
symmetries. The physical spectrum related to $SL_2$ invariant vacuum is found
to be trivial. We find that the theory has a nontrivial spectrum if the states
in different non-equivalent representations ("pictures") of CFT algebra of
matter fields are considered.
|
[
{
"created": "Tue, 14 Dec 1993 15:28:27 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Zubarev",
"A. P.",
""
]
] |
$D=2$ free string in linear dilaton background is considered in so called target space/world-sheet light cone gauge $ X^{+}=0,~g_{++}=0,~g_{+-}=1$. After gauge fixing the theory has the residual Virasoro and $U(1)$ current symmetries. The physical spectrum related to $SL_2$ invariant vacuum is found to be trivial. We find that the theory has a nontrivial spectrum if the states in different non-equivalent representations ("pictures") of CFT algebra of matter fields are considered.
| 15.210617 | 13.472879 | 16.42662 | 12.574778 | 13.529222 | 11.635517 | 12.73478 | 11.561738 | 12.43429 | 16.226599 | 12.395538 | 12.315549 | 14.002028 | 12.645875 | 11.955018 | 12.725686 | 12.328049 | 11.861692 | 12.262362 | 13.571958 | 12.270502 |
1512.08236
|
Ali Alavi
|
S. A. Alavi, M. Amiri Nasab
|
Gravitational radiation in dynamical noncommutative spaces
|
16 pages, 2 figures
|
Gen Relativ Gravit (2017) 49: 5
|
10.1007/s10714-016-2167-6
| null |
hep-th gr-qc hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate gravitational radiation in dynamical noncommutative spaces. By
including corrections to the gravitational potential due to dynamical
noncommutativity, we calculate the power in gravitational radiation and use
observational data to place an upper bound on the noncommutativity parameter.
We also study quantum interference induced by gravitational potential in the
usual and dynamical noncommutative spaces, and compare the resulting phase
difference in these cases with that in commutative space.
|
[
{
"created": "Sun, 27 Dec 2015 16:01:58 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Dec 2016 20:01:24 GMT",
"version": "v2"
}
] |
2016-12-13
|
[
[
"Alavi",
"S. A.",
""
],
[
"Nasab",
"M. Amiri",
""
]
] |
We investigate gravitational radiation in dynamical noncommutative spaces. By including corrections to the gravitational potential due to dynamical noncommutativity, we calculate the power in gravitational radiation and use observational data to place an upper bound on the noncommutativity parameter. We also study quantum interference induced by gravitational potential in the usual and dynamical noncommutative spaces, and compare the resulting phase difference in these cases with that in commutative space.
| 8.364735 | 8.799484 | 7.701534 | 7.219627 | 7.525904 | 7.854678 | 7.75558 | 7.396896 | 7.643551 | 8.199555 | 7.589242 | 7.690889 | 7.448105 | 7.423263 | 7.380234 | 7.704473 | 7.77982 | 7.256083 | 7.704616 | 7.502036 | 7.755924 |
0807.0867
|
Shin Sasaki
|
Shin Sasaki, Masato Arai, Claus Montonen, Nobuchika Okada
|
Meta-stable Supersymmetry Breaking in an N=1 Perturbed Seiberg-Witten
Theory
|
Submitted for the SUSY08 proceedings, 3 pages, 4 figures, references
added, minor changes
|
AIP Conf.Proc.1078:486-488,2009
|
10.1063/1.3052003
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this contribution, we discuss the possibility of meta-stable supersymmetry
(SUSY) breaking vacua in a perturbed Seiberg-Witten theory with
Fayet-Iliopoulos (FI) term. We found meta-stable SUSY breaking vacua at the
degenerated dyon and monopole singular points in the moduli space at the
nonperturbative level.
|
[
{
"created": "Sat, 5 Jul 2008 16:30:54 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2008 12:31:45 GMT",
"version": "v2"
}
] |
2009-02-02
|
[
[
"Sasaki",
"Shin",
""
],
[
"Arai",
"Masato",
""
],
[
"Montonen",
"Claus",
""
],
[
"Okada",
"Nobuchika",
""
]
] |
In this contribution, we discuss the possibility of meta-stable supersymmetry (SUSY) breaking vacua in a perturbed Seiberg-Witten theory with Fayet-Iliopoulos (FI) term. We found meta-stable SUSY breaking vacua at the degenerated dyon and monopole singular points in the moduli space at the nonperturbative level.
| 6.063874 | 6.006272 | 5.881192 | 5.426317 | 5.652053 | 5.526651 | 5.239948 | 5.247744 | 5.704329 | 5.942978 | 5.686762 | 5.273108 | 5.409777 | 5.319867 | 5.42862 | 5.447402 | 5.190272 | 5.114718 | 5.2767 | 5.580104 | 5.452299 |
hep-th/9807226
|
Enrique Alvarez
|
Enrique Alvarez and Cesar Gomez
|
Geometric Holography, the Renormalization Group and the c-Theorem
|
28 pages, Latex, 2 figures
|
Nucl.Phys. B541 (1999) 441-460
|
10.1016/S0550-3213(98)00752-4
|
IFT-UAM/CSIC-98-20
|
hep-th
| null |
In this paper the whole geometrical set-up giving a conformally invariant
holographic projection of a diffeomorphism invariant bulk theory is clarified.
By studying the renormalization group flow along null geodesic congruences a
holographic version of Zamolodchikov's c-theorem is proven.
|
[
{
"created": "Thu, 30 Jul 1998 08:39:49 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Alvarez",
"Enrique",
""
],
[
"Gomez",
"Cesar",
""
]
] |
In this paper the whole geometrical set-up giving a conformally invariant holographic projection of a diffeomorphism invariant bulk theory is clarified. By studying the renormalization group flow along null geodesic congruences a holographic version of Zamolodchikov's c-theorem is proven.
| 10.954268 | 9.398295 | 9.988915 | 8.687714 | 9.559425 | 8.603842 | 9.692839 | 9.295712 | 8.731485 | 10.922671 | 8.552575 | 9.240228 | 10.12793 | 9.008605 | 9.128187 | 9.28495 | 9.020675 | 9.231356 | 9.287254 | 9.69546 | 8.964036 |
1806.04800
|
Steven Gubser
|
Steven S. Gubser, Christian Jepsen, Ziming Ji, and Brian Trundy
|
Higher melonic theories
|
43 pages, 12 figures
| null |
10.1007/JHEP09(2018)049
|
PUPT-2564
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We classify a large set of melonic theories with arbitrary $q$-fold
interactions, demonstrating that the interaction vertices exhibit a range of
symmetries, always of the form $\mathbb{Z}_2^n$ for some $n$, which may be $0$.
The number of different theories proliferates quickly as $q$ increases above
$8$ and is related to the problem of counting one-factorizations of complete
graphs. The symmetries of the interaction vertex lead to an effective
interaction strength that enters into the Schwinger-Dyson equation for the
two-point function as well as the kernel used for constructing higher-point
functions.
|
[
{
"created": "Tue, 12 Jun 2018 23:59:51 GMT",
"version": "v1"
}
] |
2018-09-26
|
[
[
"Gubser",
"Steven S.",
""
],
[
"Jepsen",
"Christian",
""
],
[
"Ji",
"Ziming",
""
],
[
"Trundy",
"Brian",
""
]
] |
We classify a large set of melonic theories with arbitrary $q$-fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form $\mathbb{Z}_2^n$ for some $n$, which may be $0$. The number of different theories proliferates quickly as $q$ increases above $8$ and is related to the problem of counting one-factorizations of complete graphs. The symmetries of the interaction vertex lead to an effective interaction strength that enters into the Schwinger-Dyson equation for the two-point function as well as the kernel used for constructing higher-point functions.
| 10.441597 | 11.04952 | 11.336689 | 10.713607 | 11.561666 | 12.018179 | 11.007425 | 10.431682 | 11.10609 | 12.259326 | 9.879713 | 10.62271 | 11.044937 | 10.922757 | 10.904566 | 10.477604 | 10.536838 | 10.381441 | 10.977567 | 10.887062 | 10.149114 |
1105.3227
|
Benjamin Burrington
|
Benjamin A. Burrington
|
General Leznov-Savelev solutions for Pohlmeyer reduced AdS$_5$ minimal
surfaces
|
29 pages + 7 pages appendices
|
JHEP 1109:002,2011
|
10.1007/JHEP09(2011)002
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the Pohlmeyer reduced sigma model describing AdS$_5$ minimal
surfaces. We show that, similar to the affine Toda models, there exists a
conformal extension to this model which admits a Lax formulation. The Lax
connection is shown to be valued in a ${\mathbb Z}_4$-invariant subalgebra of
the affine Lie algebra $\widehat{su(4)}$. Using this, we perform a modified
version of a Laznov-Savelev analysis, which allows us to write formal
expressions for the general solutions for the Pohlmeyer reduced AdS$_5$ theory.
This analysis relies on the a certain decomposition for the exponentiated
algebra elements.
|
[
{
"created": "Mon, 16 May 2011 21:28:24 GMT",
"version": "v1"
}
] |
2011-09-06
|
[
[
"Burrington",
"Benjamin A.",
""
]
] |
We consider the Pohlmeyer reduced sigma model describing AdS$_5$ minimal surfaces. We show that, similar to the affine Toda models, there exists a conformal extension to this model which admits a Lax formulation. The Lax connection is shown to be valued in a ${\mathbb Z}_4$-invariant subalgebra of the affine Lie algebra $\widehat{su(4)}$. Using this, we perform a modified version of a Laznov-Savelev analysis, which allows us to write formal expressions for the general solutions for the Pohlmeyer reduced AdS$_5$ theory. This analysis relies on the a certain decomposition for the exponentiated algebra elements.
| 12.012776 | 11.967018 | 13.666793 | 11.372082 | 12.930485 | 12.805424 | 11.467187 | 12.317164 | 11.777291 | 12.460531 | 11.731034 | 11.517282 | 11.312106 | 11.12864 | 11.404097 | 11.348804 | 11.177374 | 11.170982 | 11.08941 | 10.546037 | 10.931308 |
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