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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1407.5597
|
Alexander Zhiboedov
|
Xian O. Camanho, Jose D. Edelstein, Juan Maldacena and Alexander
Zhiboedov
|
Causality Constraints on Corrections to the Graviton Three-Point
Coupling
|
50+22 pages, 13 figures
| null |
10.1007/JHEP02(2016)020
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider higher derivative corrections to the graviton three-point
coupling within a weakly coupled theory of gravity. Lorentz invariance allows
further structures beyond the one present in the Einstein theory. We argue that
these are constrained by causality. We devise a thought experiment involving a
high energy scattering process which leads to causality violation if the
graviton three-point vertex contains the additional structures. This violation
cannot be fixed by adding conventional particles with spins $J \leq 2$. But, it
can be fixed by adding an infinite tower of extra massive particles with higher
spins, $J > 2$. In AdS theories this implies a constraint on the conformal
anomaly coefficients $\left|{a - c \over c} \right| \lesssim {1 \over
\Delta_{gap}^2}$ in terms of $\Delta_{gap}$, the dimension of the lightest
single particle operator with spin $J > 2$. For inflation, or de Sitter-like
solutions, it indicates the existence of massive higher spin particles if the
gravity wave non-gaussianity deviates significantly from the one computed in
the Einstein theory.
|
[
{
"created": "Mon, 21 Jul 2014 18:52:05 GMT",
"version": "v1"
}
] |
2017-03-22
|
[
[
"Camanho",
"Xian O.",
""
],
[
"Edelstein",
"Jose D.",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Zhiboedov",
"Alexander",
""
]
] |
We consider higher derivative corrections to the graviton three-point coupling within a weakly coupled theory of gravity. Lorentz invariance allows further structures beyond the one present in the Einstein theory. We argue that these are constrained by causality. We devise a thought experiment involving a high energy scattering process which leads to causality violation if the graviton three-point vertex contains the additional structures. This violation cannot be fixed by adding conventional particles with spins $J \leq 2$. But, it can be fixed by adding an infinite tower of extra massive particles with higher spins, $J > 2$. In AdS theories this implies a constraint on the conformal anomaly coefficients $\left|{a - c \over c} \right| \lesssim {1 \over \Delta_{gap}^2}$ in terms of $\Delta_{gap}$, the dimension of the lightest single particle operator with spin $J > 2$. For inflation, or de Sitter-like solutions, it indicates the existence of massive higher spin particles if the gravity wave non-gaussianity deviates significantly from the one computed in the Einstein theory.
| 7.06437 | 8.369719 | 7.656062 | 7.021417 | 7.961112 | 7.64954 | 7.571601 | 7.443626 | 7.452003 | 8.426805 | 7.326338 | 7.079241 | 7.080107 | 7.009651 | 7.192069 | 6.964658 | 7.00718 | 6.833704 | 7.14167 | 7.489686 | 7.116516 |
1005.2934
|
Hassan Firouzjahi
|
Ali Akbar Abolhasani and Hassan Firouzjahi
|
No Large Scale Curvature Perturbations during Waterfall of Hybrid
Inflation
|
The discussions of quantum back-reactions are improved and new
analysis from Eq (84) to (98) are added, new references added
|
Phys.Rev.D83:063513,2011
|
10.1103/PhysRevD.83.063513
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper the possibility of generating large scale curvature
perturbations induced from the entropic perturbations during the waterfall
phase transition of standard hybrid inflation model is studied. We show that
whether or not appreciable amounts of large scale curvature perturbations are
produced during the waterfall phase transition depend crucially on the
competition between the classical and the quantum mechanical back-reactions to
terminate inflation. If one considers only the classical evolution of the
system we show that the highly blue-tilted entropy perturbations induce highly
blue-tilted large scale curvature perturbations during the waterfall phase
transition which dominate over the original adiabatic curvature perturbations.
However, we show that the quantum back-reactions of the waterfall field
inhomogeneities produced during the phase transition dominate completely over
the classical back-reactions. The cumulative quantum back-reactions of very
small scales tachyonic modes terminate inflation very efficiently and shut off
the curvature perturbations evolution during the waterfall phase transition.
This indicates that the standard hybrid inflation model is safe under large
scale curvature perturbations during the waterfall phase transition.
|
[
{
"created": "Mon, 17 May 2010 14:32:40 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Sep 2010 18:38:49 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jan 2011 10:24:58 GMT",
"version": "v3"
}
] |
2011-03-22
|
[
[
"Abolhasani",
"Ali Akbar",
""
],
[
"Firouzjahi",
"Hassan",
""
]
] |
In this paper the possibility of generating large scale curvature perturbations induced from the entropic perturbations during the waterfall phase transition of standard hybrid inflation model is studied. We show that whether or not appreciable amounts of large scale curvature perturbations are produced during the waterfall phase transition depend crucially on the competition between the classical and the quantum mechanical back-reactions to terminate inflation. If one considers only the classical evolution of the system we show that the highly blue-tilted entropy perturbations induce highly blue-tilted large scale curvature perturbations during the waterfall phase transition which dominate over the original adiabatic curvature perturbations. However, we show that the quantum back-reactions of the waterfall field inhomogeneities produced during the phase transition dominate completely over the classical back-reactions. The cumulative quantum back-reactions of very small scales tachyonic modes terminate inflation very efficiently and shut off the curvature perturbations evolution during the waterfall phase transition. This indicates that the standard hybrid inflation model is safe under large scale curvature perturbations during the waterfall phase transition.
| 6.642128 | 7.028575 | 7.071278 | 6.69313 | 7.353821 | 6.834708 | 7.496017 | 6.770114 | 6.610256 | 6.913556 | 6.665559 | 6.813216 | 6.653596 | 6.547153 | 6.726619 | 6.740753 | 6.499279 | 6.4423 | 6.62135 | 6.614127 | 6.607123 |
hep-th/9307158
|
Tomasz Taylor
|
I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor
|
Topological Amplitudes in String Theory
|
31 pages (LATEX) + 2 figures (available upon request as PS file or
hardcopy), NUB-3071 - IC/93/202 - CPTH-A258.0793
|
Nucl.Phys. B413 (1994) 162-184
|
10.1016/0550-3213(94)90617-3
| null |
hep-th
| null |
We show that certain type II string amplitudes at genus $g$ are given by the
topological partition function $F_g$ discussed recently by Bershadsky, Cecotti,
Ooguri and Vafa. These amplitudes give rise to a term in the four-dimensional
effective action of the form $\sum_g F_g W^{2g}$, where $W$ is the chiral
superfield of $N=2$ supergravitational multiplet. The holomorphic anomaly of
$F_g$ is related to non-localities of the effective action due to the
propagation of massless states. This result generalizes the holomorphic anomaly
of the one loop case which is known to lead to non-harmonic gravitational
couplings.
|
[
{
"created": "Mon, 26 Jul 1993 16:00:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Antoniadis",
"I.",
""
],
[
"Gava",
"E.",
""
],
[
"Narain",
"K. S.",
""
],
[
"Taylor",
"T. R.",
""
]
] |
We show that certain type II string amplitudes at genus $g$ are given by the topological partition function $F_g$ discussed recently by Bershadsky, Cecotti, Ooguri and Vafa. These amplitudes give rise to a term in the four-dimensional effective action of the form $\sum_g F_g W^{2g}$, where $W$ is the chiral superfield of $N=2$ supergravitational multiplet. The holomorphic anomaly of $F_g$ is related to non-localities of the effective action due to the propagation of massless states. This result generalizes the holomorphic anomaly of the one loop case which is known to lead to non-harmonic gravitational couplings.
| 5.29708 | 4.655353 | 6.031368 | 5.230514 | 5.243529 | 5.286373 | 5.267857 | 4.960642 | 5.362416 | 6.361483 | 4.954131 | 4.820785 | 5.539674 | 5.116906 | 5.111817 | 5.245127 | 4.959356 | 4.929932 | 4.870334 | 5.290573 | 4.785542 |
1412.6876
|
Chiang-Mei Chen
|
Chiang-Mei Chen, Jia-Rui Sun, Fu-Yi Tang, Ping-Yen Tsai
|
Spinor Particle Creation in Near Extremal Reissner-Nordstrom Black Holes
|
references added, errors corrected
| null |
10.1088/0264-9381/32/19/195003
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The pair production of spinor particles, which can be captured by the
solution of the Dirac equation with an appropriate boundary condition, in
charged black holes is investigated. We obtain the closed form of the
production rate in the near extremal limit of the Reissner-Nordstrom black
holes. The cosmic censorship conjecture is seemingly guaranteed by the pair
production process. Moreover, the absorption cross section ratio and retarded
Green's functions of the spinor fields calculated from the gravity side match
well with those of spinor operators in the dual CFT side.
|
[
{
"created": "Mon, 22 Dec 2014 05:48:00 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Dec 2014 15:46:40 GMT",
"version": "v2"
}
] |
2015-09-23
|
[
[
"Chen",
"Chiang-Mei",
""
],
[
"Sun",
"Jia-Rui",
""
],
[
"Tang",
"Fu-Yi",
""
],
[
"Tsai",
"Ping-Yen",
""
]
] |
The pair production of spinor particles, which can be captured by the solution of the Dirac equation with an appropriate boundary condition, in charged black holes is investigated. We obtain the closed form of the production rate in the near extremal limit of the Reissner-Nordstrom black holes. The cosmic censorship conjecture is seemingly guaranteed by the pair production process. Moreover, the absorption cross section ratio and retarded Green's functions of the spinor fields calculated from the gravity side match well with those of spinor operators in the dual CFT side.
| 11.038447 | 10.302667 | 11.280426 | 9.831857 | 9.909657 | 9.823785 | 9.463005 | 10.698141 | 10.060884 | 11.383172 | 9.474139 | 9.586284 | 10.126746 | 9.654412 | 9.313433 | 9.744385 | 9.384375 | 9.624178 | 10.109154 | 10.293969 | 9.558247 |
2203.04325
|
\'Angel Murcia
|
Pablo Bueno, Pablo A. Cano, \'Angel Murcia and Alberto Rivadulla
S\'anchez
|
A universal feature of charged entanglement entropy
|
5+8 pages
| null |
10.1103/PhysRevLett.129.021601
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
R\'enyi entropies, $S_n$, admit a natural generalization in the presence of
global symmetries. These "charged R\'enyi entropies" are functions of the
chemical potential $\mu$ conjugate to the charge contained in the entangling
region and reduce to the usual notions as $\mu\rightarrow 0$. For $n=1$, this
provides a notion of charged entanglement entropy. In this letter we prove that
for a general $d (\geq 3)$-dimensional CFT, the leading correction to the
uncharged entanglement entropy across a spherical entangling surface is
quadratic in the chemical potential, positive definite, and universally
controlled (up to fixed $d$-dependent constants) by the coefficients $C_J$ and
$a_2$. These fully characterize, for a given theory, the current correlators
$\langle JJ\rangle $ and $\langle TJJ \rangle$, as well as the energy flux
measured at infinity produced by the insertion of the current operator. Our
result is motivated by analytic holographic calculations for a special class of
higher-curvature gravities coupled to a $(d-2)$-form in general dimensions as
well as for free-fields in $d=4$. A proof for general theories and dimensions
follows from previously known universal identities involving the magnetic
response of twist operators introduced in arXiv:1310.4180 and basic
thermodynamic relations.
|
[
{
"created": "Tue, 8 Mar 2022 19:00:01 GMT",
"version": "v1"
}
] |
2022-07-20
|
[
[
"Bueno",
"Pablo",
""
],
[
"Cano",
"Pablo A.",
""
],
[
"Murcia",
"Ángel",
""
],
[
"Sánchez",
"Alberto Rivadulla",
""
]
] |
R\'enyi entropies, $S_n$, admit a natural generalization in the presence of global symmetries. These "charged R\'enyi entropies" are functions of the chemical potential $\mu$ conjugate to the charge contained in the entangling region and reduce to the usual notions as $\mu\rightarrow 0$. For $n=1$, this provides a notion of charged entanglement entropy. In this letter we prove that for a general $d (\geq 3)$-dimensional CFT, the leading correction to the uncharged entanglement entropy across a spherical entangling surface is quadratic in the chemical potential, positive definite, and universally controlled (up to fixed $d$-dependent constants) by the coefficients $C_J$ and $a_2$. These fully characterize, for a given theory, the current correlators $\langle JJ\rangle $ and $\langle TJJ \rangle$, as well as the energy flux measured at infinity produced by the insertion of the current operator. Our result is motivated by analytic holographic calculations for a special class of higher-curvature gravities coupled to a $(d-2)$-form in general dimensions as well as for free-fields in $d=4$. A proof for general theories and dimensions follows from previously known universal identities involving the magnetic response of twist operators introduced in arXiv:1310.4180 and basic thermodynamic relations.
| 8.167337 | 7.592756 | 9.012577 | 7.835284 | 7.909341 | 7.650476 | 8.132397 | 7.588848 | 7.599771 | 9.622278 | 7.678467 | 7.849655 | 7.882504 | 7.610995 | 7.569978 | 7.737628 | 7.646368 | 7.583536 | 7.669323 | 8.195325 | 7.687615 |
hep-th/0306117
|
Dimitrios Tsimpis
|
G. Papadopoulos and D. Tsimpis
|
The holonomy of the supercovariant connection and Killing spinors
|
27 pages, a key reference was added. v3: minor changes
|
JHEP 0307:018,2003
|
10.1088/1126-6708/2003/07/018
| null |
hep-th
| null |
We show that the holonomy of the supercovariant connection for M-theory
backgrounds with $N$ Killing spinors reduces to a subgroup of $SL(32-N,\bR)\st
(\oplus^N \bR^{32-N})$. We use this to give the necessary and sufficient
conditions for a background to admit $N$ Killing spinors. We show that there is
no topological obstruction for the existence of up to 22 Killing spinors in
eleven-dimensional spacetime. We investigate the symmetry superalgebras of
supersymmetric backgrounds and find that their structure constants are
determined by an antisymmetric matrix. The Lie subalgebra of bosonic generators
is related to a real form of a symplectic group. We show that there is a
one-one correspondence between certain bases of the Cartan subalgebra of
$sl(32, \bR)$ and supersymmetric planar probe M-brane configurations. A
supersymmetric probe configuration can involve up to 31 linearly independent
planar branes and preserves one supersymmetry. The space of supersymmetric
planar probe M-brane configurations is preserved by an $SO(32,\bR)$ subgroup of
$SL(32, \bR)$.
|
[
{
"created": "Thu, 12 Jun 2003 18:56:15 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jun 2003 16:17:09 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Jun 2003 16:37:13 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Papadopoulos",
"G.",
""
],
[
"Tsimpis",
"D.",
""
]
] |
We show that the holonomy of the supercovariant connection for M-theory backgrounds with $N$ Killing spinors reduces to a subgroup of $SL(32-N,\bR)\st (\oplus^N \bR^{32-N})$. We use this to give the necessary and sufficient conditions for a background to admit $N$ Killing spinors. We show that there is no topological obstruction for the existence of up to 22 Killing spinors in eleven-dimensional spacetime. We investigate the symmetry superalgebras of supersymmetric backgrounds and find that their structure constants are determined by an antisymmetric matrix. The Lie subalgebra of bosonic generators is related to a real form of a symplectic group. We show that there is a one-one correspondence between certain bases of the Cartan subalgebra of $sl(32, \bR)$ and supersymmetric planar probe M-brane configurations. A supersymmetric probe configuration can involve up to 31 linearly independent planar branes and preserves one supersymmetry. The space of supersymmetric planar probe M-brane configurations is preserved by an $SO(32,\bR)$ subgroup of $SL(32, \bR)$.
| 6.748083 | 6.598781 | 7.470718 | 6.725607 | 6.140975 | 6.275491 | 6.286174 | 6.683619 | 6.610668 | 8.255067 | 6.541978 | 6.712379 | 6.933134 | 6.627617 | 6.404524 | 6.521938 | 6.606537 | 6.580278 | 6.612508 | 6.961447 | 6.558747 |
hep-th/0112068
|
Iver H. Brevik
|
Iver Brevik, Andrei A. Bytsenko and Roger Sollie
|
Thermodynamic Properties of the 2N-Piece Relativistic String
|
15 pages, LaTeX, 2 figures. Discussion in section 8 expanded
|
J.Math.Phys.44:1044-1055,2003
|
10.1063/1.1540235
| null |
hep-th
| null |
The thermodynamic free energy F(\beta) is calculated for a gas consisting of
the transverse oscillations of a piecewise uniform bosonic string. The string
consists of 2N parts of equal length, of alternating type I and type II
material, and is relativistic in the sense that the velocity of sound
everywhere equals the velocity of light. The present paper is a continuation of
two earlier papers, one dealing with the Casimir energy of a 2N--piece string
[I. Brevik and R. Sollie (1997)], and another dealing with the thermodynamic
properties of a string divided into two (unequal) parts [I. Brevik, A. A.
Bytsenko and H. B. Nielsen (1998)]. Making use of the Meinardus theorem we
calculate the asymptotics of the level state density, and show that the
critical temperatures in the individual parts are equal, for arbitrary
spacetime dimension D. If D=26, we find \beta= (2/N)\sqrt{2\pi /T_{II}}, T_{II}
being the tension in part II. Thermodynamic interactions of parts related to
high genus g is also considered.
|
[
{
"created": "Mon, 10 Dec 2001 09:55:24 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Mar 2002 14:52:51 GMT",
"version": "v2"
}
] |
2009-01-14
|
[
[
"Brevik",
"Iver",
""
],
[
"Bytsenko",
"Andrei A.",
""
],
[
"Sollie",
"Roger",
""
]
] |
The thermodynamic free energy F(\beta) is calculated for a gas consisting of the transverse oscillations of a piecewise uniform bosonic string. The string consists of 2N parts of equal length, of alternating type I and type II material, and is relativistic in the sense that the velocity of sound everywhere equals the velocity of light. The present paper is a continuation of two earlier papers, one dealing with the Casimir energy of a 2N--piece string [I. Brevik and R. Sollie (1997)], and another dealing with the thermodynamic properties of a string divided into two (unequal) parts [I. Brevik, A. A. Bytsenko and H. B. Nielsen (1998)]. Making use of the Meinardus theorem we calculate the asymptotics of the level state density, and show that the critical temperatures in the individual parts are equal, for arbitrary spacetime dimension D. If D=26, we find \beta= (2/N)\sqrt{2\pi /T_{II}}, T_{II} being the tension in part II. Thermodynamic interactions of parts related to high genus g is also considered.
| 11.412705 | 11.513263 | 12.817147 | 10.380282 | 12.20522 | 11.30141 | 10.593521 | 10.637227 | 10.73119 | 13.164697 | 10.306584 | 10.012038 | 10.397237 | 10.064513 | 10.010282 | 9.862656 | 10.15479 | 10.078337 | 9.959278 | 10.605423 | 10.428031 |
1605.07043
|
Victor Eugen Ambru\c{s}
|
Victor E. Ambrus, Ion I. Cotaescu
|
Maxwell-Juttner distribution for rigidly-rotating flows in spherically
symmetric spacetimes using the tetrad formalism
|
18 pages, 10 figures
|
Phys. Rev. D 94, 085022 (2016)
|
10.1103/PhysRevD.94.085022
| null |
hep-th astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider rigidly rotating states in thermal equilibrium on static
spherically symmetric spacetimes. Using the Maxwell-Juttner equilibrium
distribution function, onstructed as a solution of the relativistic Boltzmann
equation, the equilibrium particle flow four-vector, stress-energy tensor and
the transport coefficients in the Marle model are computed. Their properties
are discussed in view of the topology of the speed-of-light surface induced by
the rotation for two classes of spacetimes: maximally symmetric (Minkowski, de
Sitter and anti-de Sitter) and charged (Reissner-Nordstrom) black-hole
spacetimes. To facilitate our analysis, we employ a non-holonomic comoving
tetrad field, obtained unambiguously by applying a Lorentz boost on a fixed
background tetrad.
|
[
{
"created": "Mon, 23 May 2016 14:55:16 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2016 17:40:00 GMT",
"version": "v2"
}
] |
2016-10-26
|
[
[
"Ambrus",
"Victor E.",
""
],
[
"Cotaescu",
"Ion I.",
""
]
] |
We consider rigidly rotating states in thermal equilibrium on static spherically symmetric spacetimes. Using the Maxwell-Juttner equilibrium distribution function, onstructed as a solution of the relativistic Boltzmann equation, the equilibrium particle flow four-vector, stress-energy tensor and the transport coefficients in the Marle model are computed. Their properties are discussed in view of the topology of the speed-of-light surface induced by the rotation for two classes of spacetimes: maximally symmetric (Minkowski, de Sitter and anti-de Sitter) and charged (Reissner-Nordstrom) black-hole spacetimes. To facilitate our analysis, we employ a non-holonomic comoving tetrad field, obtained unambiguously by applying a Lorentz boost on a fixed background tetrad.
| 10.658349 | 12.346624 | 10.479523 | 10.518229 | 11.177803 | 11.00093 | 11.834515 | 10.509059 | 11.764949 | 12.672683 | 11.014763 | 10.882697 | 10.546549 | 10.26242 | 10.537147 | 10.366539 | 10.828109 | 10.855624 | 10.744515 | 10.572803 | 10.60051 |
1702.05100
|
Cheng Peng
|
Matthias R. Gaberdiel, Rajesh Gopakumar, Wei Li and Cheng Peng
|
Higher Spins and Yangian Symmetries
|
31 pages, 1 figure
| null |
10.1007/JHEP04(2017)152
|
Brown-HET-1703
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The relation between the bosonic higher spin ${\cal W}_\infty[\lambda]$
algebra, the affine Yangian of $\mathfrak{gl}_{1}$, and the SH$^c$ algebra is
established in detail. For generic $\lambda$ we find explicit expressions for
the low-lying ${\cal W}_\infty[\lambda]$ modes in terms of the affine Yangian
generators, and deduce from this the precise identification between $\lambda$
and the parameters of the affine Yangian. Furthermore, for the free field cases
corresponding to $\lambda=0$ and $\lambda=1$ we give closed-form expressions
for the affine Yangian generators in terms of the free fields. Interestingly,
the relation between the ${\cal W}_\infty$ modes and those of the affine
Yangian is a non-local one, in general. We also establish the explicit
dictionary between the affine Yangian and the SH$^c$ generators. Given that
Yangian algebras are the hallmark of integrability, these identifications
should pave the way towards uncovering the relation between the integrable and
the higher spin symmetries.
|
[
{
"created": "Thu, 16 Feb 2017 19:00:02 GMT",
"version": "v1"
}
] |
2017-06-28
|
[
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Gopakumar",
"Rajesh",
""
],
[
"Li",
"Wei",
""
],
[
"Peng",
"Cheng",
""
]
] |
The relation between the bosonic higher spin ${\cal W}_\infty[\lambda]$ algebra, the affine Yangian of $\mathfrak{gl}_{1}$, and the SH$^c$ algebra is established in detail. For generic $\lambda$ we find explicit expressions for the low-lying ${\cal W}_\infty[\lambda]$ modes in terms of the affine Yangian generators, and deduce from this the precise identification between $\lambda$ and the parameters of the affine Yangian. Furthermore, for the free field cases corresponding to $\lambda=0$ and $\lambda=1$ we give closed-form expressions for the affine Yangian generators in terms of the free fields. Interestingly, the relation between the ${\cal W}_\infty$ modes and those of the affine Yangian is a non-local one, in general. We also establish the explicit dictionary between the affine Yangian and the SH$^c$ generators. Given that Yangian algebras are the hallmark of integrability, these identifications should pave the way towards uncovering the relation between the integrable and the higher spin symmetries.
| 4.949828 | 4.815044 | 5.649607 | 4.987394 | 5.104705 | 5.010131 | 5.008333 | 4.90951 | 4.867752 | 6.052173 | 4.834872 | 4.862792 | 5.289478 | 4.83435 | 4.965609 | 4.741868 | 4.905399 | 4.86876 | 4.901827 | 5.361136 | 4.800675 |
2105.06026
|
Minoru Eto
|
Masato Arai, Filip Blaschke, Minoru Eto, Masaki Kawaguchi, Norisuke
Sakai
|
SM gauge fields localized on non-Abelian vortices in 6 dimensions
|
ver. 2: Introduction is improved, and cosmetic changes throughout
paper. 39 pages, 5 figures
| null | null |
YGHP-21-2
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
A brane-world $SU(5)$ GUT model with global non-Abelian vortices is
constructed in six-dimensional spacetime. We find a solution with a vortex
associated to $SU(3)$ separated from another vortex associated to $SU(2)$. This
$3-2$ split configuration achieves a geometric Higgs mechanism for $SU(5)\to
SU(3)\times SU(2)\times U(1)$ symmetry breaking. A simple deformation potential
induces a domain wall between non-Abelian vortices, leading to a linear
confining potential. The confinement stabilizes the vortex separation moduli,
and assures the vorticity of $SU(3)$ group and of $SU(2)$ group to be
identical. This dictates the equality of the numbers of fermion zero modes in
the fundamental representation of $SU(3)$ (quarks) and of $SU(2)$ (leptons),
leading to quark-lepton generations. The standard model massless gauge fields
are localized on the non-Abelian vortices thanks to a field-dependent gauge
kinetic function. We perform fluctuation analysis with an appropriate gauge
fixing and obtain a four-dimensional effective Lagrangian of unbroken and
broken gauge fields at quadratic order. We find that $SU(3) \times SU(2) \times
U(1)$ gauge fields are localized on the vortices and exactly massless.
Complications in analyzing the spectra of gauge fields with the nontrivial
gauge kinetic function are neatly worked out by a vector-analysis like method.
|
[
{
"created": "Thu, 13 May 2021 01:25:52 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 2021 08:57:28 GMT",
"version": "v2"
}
] |
2021-08-27
|
[
[
"Arai",
"Masato",
""
],
[
"Blaschke",
"Filip",
""
],
[
"Eto",
"Minoru",
""
],
[
"Kawaguchi",
"Masaki",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
A brane-world $SU(5)$ GUT model with global non-Abelian vortices is constructed in six-dimensional spacetime. We find a solution with a vortex associated to $SU(3)$ separated from another vortex associated to $SU(2)$. This $3-2$ split configuration achieves a geometric Higgs mechanism for $SU(5)\to SU(3)\times SU(2)\times U(1)$ symmetry breaking. A simple deformation potential induces a domain wall between non-Abelian vortices, leading to a linear confining potential. The confinement stabilizes the vortex separation moduli, and assures the vorticity of $SU(3)$ group and of $SU(2)$ group to be identical. This dictates the equality of the numbers of fermion zero modes in the fundamental representation of $SU(3)$ (quarks) and of $SU(2)$ (leptons), leading to quark-lepton generations. The standard model massless gauge fields are localized on the non-Abelian vortices thanks to a field-dependent gauge kinetic function. We perform fluctuation analysis with an appropriate gauge fixing and obtain a four-dimensional effective Lagrangian of unbroken and broken gauge fields at quadratic order. We find that $SU(3) \times SU(2) \times U(1)$ gauge fields are localized on the vortices and exactly massless. Complications in analyzing the spectra of gauge fields with the nontrivial gauge kinetic function are neatly worked out by a vector-analysis like method.
| 8.256349 | 7.793754 | 8.664982 | 7.715868 | 8.375343 | 7.580417 | 8.000967 | 7.500167 | 7.757303 | 8.122224 | 7.679455 | 7.875654 | 7.915772 | 7.734362 | 7.857878 | 7.737888 | 7.69382 | 7.791131 | 7.792772 | 8.02705 | 7.651757 |
1809.09075
|
Ruslan Metsaev
|
R.R. Metsaev
|
Cubic interaction vertices for massive/massless continuous-spin fields
and arbitrary spin fields
|
64 pages. v3: Typos in equations (C.90),(C.91),(D.2), and text
corrected
| null |
10.1007/JHEP12(2018)055
|
FIAN-TD-2018-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use light-cone gauge formalism to study interacting massive and massless
continuous-spin fields and finite component arbitrary spin fields propagating
in the flat space. Cubic interaction vertices for such fields are considered.
We obtain parity invariant cubic vertices for coupling of one continuous-spin
field to two arbitrary spin fields and cubic vertices for coupling of two
continuous-spin fields to one arbitrary spin field. Parity invariant cubic
vertices for self-interacting massive/massless continuous-spin fields are also
obtained. We find the complete list of parity invariant cubic vertices for
continuous-spin fields and arbitrary spin fields.
|
[
{
"created": "Mon, 24 Sep 2018 17:40:57 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Oct 2018 16:12:58 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Dec 2018 17:19:51 GMT",
"version": "v3"
}
] |
2018-12-26
|
[
[
"Metsaev",
"R. R.",
""
]
] |
We use light-cone gauge formalism to study interacting massive and massless continuous-spin fields and finite component arbitrary spin fields propagating in the flat space. Cubic interaction vertices for such fields are considered. We obtain parity invariant cubic vertices for coupling of one continuous-spin field to two arbitrary spin fields and cubic vertices for coupling of two continuous-spin fields to one arbitrary spin field. Parity invariant cubic vertices for self-interacting massive/massless continuous-spin fields are also obtained. We find the complete list of parity invariant cubic vertices for continuous-spin fields and arbitrary spin fields.
| 7.216113 | 5.698065 | 7.304563 | 6.13794 | 6.055291 | 5.965374 | 5.881486 | 5.955909 | 6.518419 | 8.286967 | 6.177525 | 6.753305 | 7.82132 | 7.023565 | 6.750448 | 6.49228 | 6.577169 | 6.833137 | 6.889996 | 7.745273 | 6.61511 |
1209.1416
|
Piotr Sulkowski
|
Hiroyuki Fuji, Sergei Gukov, Marko Stosic, Piotr Su{\l}kowski
|
3d analogs of Argyres-Douglas theories and knot homologies
|
40 pages, 14 figures
|
JHEP 1301 (2013) 175
|
10.1007/JHEP01(2013)175
|
CALT 68-2886
|
hep-th math.AG math.GT math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study singularities of algebraic curves associated with 3d N=2 theories
that have at least one global flavor symmetry. Of particular interest is a
class of theories T_K labeled by knots, whose partition functions package
Poincare polynomials of the S^r-colored HOMFLY homologies. We derive the
defining equation, called the super-A-polynomial, for algebraic curves
associated with many new examples of 3d N=2 theories T_K and study its
singularity structure. In particular, we catalog general types of singularities
that presumably exist for all knots and propose their physical interpretation.
A computation of super-A-polynomials is based on a derivation of corresponding
superpolynomials, which is interesting in its own right and relies solely on a
structure of differentials in S^r-colored HOMFLY homologies.
|
[
{
"created": "Thu, 6 Sep 2012 21:52:48 GMT",
"version": "v1"
}
] |
2017-05-23
|
[
[
"Fuji",
"Hiroyuki",
""
],
[
"Gukov",
"Sergei",
""
],
[
"Stosic",
"Marko",
""
],
[
"Sułkowski",
"Piotr",
""
]
] |
We study singularities of algebraic curves associated with 3d N=2 theories that have at least one global flavor symmetry. Of particular interest is a class of theories T_K labeled by knots, whose partition functions package Poincare polynomials of the S^r-colored HOMFLY homologies. We derive the defining equation, called the super-A-polynomial, for algebraic curves associated with many new examples of 3d N=2 theories T_K and study its singularity structure. In particular, we catalog general types of singularities that presumably exist for all knots and propose their physical interpretation. A computation of super-A-polynomials is based on a derivation of corresponding superpolynomials, which is interesting in its own right and relies solely on a structure of differentials in S^r-colored HOMFLY homologies.
| 11.047878 | 10.73022 | 14.30121 | 10.105464 | 10.692763 | 9.648554 | 11.016573 | 10.527793 | 10.534469 | 15.804386 | 10.307276 | 10.462854 | 11.685394 | 10.437374 | 10.017821 | 10.445284 | 10.189789 | 10.511074 | 10.304595 | 10.904743 | 10.416345 |
hep-th/0005077
|
Shinsuke M. Nishigaki
|
T. Nagao, S. M. Nishigaki
|
Massive random matrix ensembles at beta = 1 & 4 : QCD in three
dimensions
|
26 pages, REVTeX 3.1 + mathlett.sty (attached), 4 figures
|
Phys.Rev. D63 (2001) 045011
|
10.1103/PhysRevD.63.045011
|
TIT-HEP-444
|
hep-th hep-lat
| null |
The zero momentum sectors in effective theories of three dimensional QCD
coupled to pseudoreal (two colors) and real (adjoint) quarks in a classically
parity-invariant manner have alternative descriptions in terms of orthogonal
and symplectic ensembles of random matrices. Using this correspondence, we
compute finite-volume QCD partition functions and correlation functions of
Dirac operator eigenvalues in a presence of finite quark masses of the order of
the smallest Dirac eigenvalue. These novel correlation functions, expressed in
terms of quaternion determinants, are reduced to conventional results for the
Gaussian ensembles in the quenched limit.
|
[
{
"created": "Tue, 9 May 2000 07:16:45 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Nagao",
"T.",
""
],
[
"Nishigaki",
"S. M.",
""
]
] |
The zero momentum sectors in effective theories of three dimensional QCD coupled to pseudoreal (two colors) and real (adjoint) quarks in a classically parity-invariant manner have alternative descriptions in terms of orthogonal and symplectic ensembles of random matrices. Using this correspondence, we compute finite-volume QCD partition functions and correlation functions of Dirac operator eigenvalues in a presence of finite quark masses of the order of the smallest Dirac eigenvalue. These novel correlation functions, expressed in terms of quaternion determinants, are reduced to conventional results for the Gaussian ensembles in the quenched limit.
| 12.848475 | 10.822662 | 14.883475 | 11.640285 | 11.360203 | 9.77503 | 10.734674 | 10.383506 | 10.154889 | 14.754982 | 10.861022 | 12.141045 | 13.299901 | 12.501577 | 12.184858 | 11.913243 | 12.142477 | 12.117407 | 12.141302 | 13.902159 | 12.294271 |
2109.12092
|
Ofri Telem
|
Uri Kol, Donal O'connell and Ofri Telem
|
The Radial Action from Probe Amplitudes to All Orders
|
Fixed typo in Schwarzschild scattering angle
| null |
10.1007/JHEP03(2022)141
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We extract the relativistic classical radial action from scattering
amplitudes, to all orders in perturbation theory, in the probe limit. Our
sources include point charges and monopoles, as well as the Schwarzschild and
pure-NUT gravitational backgrounds. A characteristic relativistic effect, that
scattering trajectories may wind around these sources any number of times, can
be recovered when all-order amplitudes are available. We show that the
amplitude for scattering a probe off a pure NUT is given by the solution of a
transcendental equation involving continued fractions, and explain how to solve
this equation to any desired loop order.
|
[
{
"created": "Fri, 24 Sep 2021 17:36:22 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Dec 2023 13:13:47 GMT",
"version": "v2"
}
] |
2023-12-29
|
[
[
"Kol",
"Uri",
""
],
[
"O'connell",
"Donal",
""
],
[
"Telem",
"Ofri",
""
]
] |
We extract the relativistic classical radial action from scattering amplitudes, to all orders in perturbation theory, in the probe limit. Our sources include point charges and monopoles, as well as the Schwarzschild and pure-NUT gravitational backgrounds. A characteristic relativistic effect, that scattering trajectories may wind around these sources any number of times, can be recovered when all-order amplitudes are available. We show that the amplitude for scattering a probe off a pure NUT is given by the solution of a transcendental equation involving continued fractions, and explain how to solve this equation to any desired loop order.
| 14.809447 | 13.861591 | 14.644678 | 14.164501 | 14.222663 | 14.147846 | 14.514671 | 14.245187 | 14.049502 | 15.868869 | 14.16513 | 14.045916 | 14.531683 | 14.283007 | 14.454469 | 14.202954 | 13.882983 | 13.985823 | 13.977423 | 14.506216 | 13.89188 |
1011.5856
|
Senarath P. de Alwis
|
S. P. de Alwis and Z. Lalak
|
Gauge Mediated Supersymmetry Breaking and String Theory
|
minor changes - version to be published in JHEP
|
JHEP 1103:068,2011
|
10.1007/JHEP03(2011)068
|
COLO-HEP-558
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the possibility of finding scenarios, within type IIB string
theory compactified on Calabi-Yau orientifolds with fluxes, for realizing gauge
mediated supersymmetry breaking. We find that while in principle such scenarios
are not ruled out, in practice it is hard to get acceptable constructions,
since typically, supersymmetry breaking cannot be separated from the
stabilization of the light modulus.
|
[
{
"created": "Fri, 26 Nov 2010 18:31:38 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2011 19:26:18 GMT",
"version": "v2"
}
] |
2011-03-28
|
[
[
"de Alwis",
"S. P.",
""
],
[
"Lalak",
"Z.",
""
]
] |
We discuss the possibility of finding scenarios, within type IIB string theory compactified on Calabi-Yau orientifolds with fluxes, for realizing gauge mediated supersymmetry breaking. We find that while in principle such scenarios are not ruled out, in practice it is hard to get acceptable constructions, since typically, supersymmetry breaking cannot be separated from the stabilization of the light modulus.
| 9.002748 | 8.018704 | 9.409494 | 7.904255 | 8.019473 | 7.996009 | 7.848289 | 8.279009 | 8.237302 | 9.264654 | 8.460979 | 8.282582 | 9.178418 | 8.085642 | 8.024569 | 8.035511 | 8.206602 | 8.255154 | 8.181191 | 8.809392 | 8.208168 |
hep-th/0108057
|
Dr. H. F. Jones
|
Carl M. Bender, Stefan Boettcher, H. F. Jones, Peter Meisinger and
Mehmet Simsek
|
Bound States of Non-Hermitian Quantum Field Theories
|
14 pages, 3figures
|
Phys.Lett. A291 (2001) 197-202
|
10.1016/S0375-9601(01)00745-9
| null |
hep-th
| null |
The spectrum of the Hermitian Hamiltonian ${1\over2}p^2+{1\over2}m^2x^2+gx^4$
($g>0$), which describes the quantum anharmonic oscillator, is real and
positive. The non-Hermitian quantum-mechanical Hamiltonian $H={1\over2}p^2+{1
\over2}m^2x^2-gx^4$, where the coupling constant $g$ is real and positive, is
${\cal PT}$-symmetric. As a consequence, the spectrum of $H$ is known to be
real and positive as well. Here, it is shown that there is a significant
difference between these two theories: When $g$ is sufficiently small, the
latter Hamiltonian exhibits a two-particle bound state while the former does
not. The bound state persists in the corresponding non-Hermitian ${\cal
PT}$-symmetric $-g\phi^4$ quantum field theory for all dimensions $0\leq D<3$
but is not present in the conventional Hermitian $g\phi^4$ field theory.
|
[
{
"created": "Thu, 9 Aug 2001 10:14:56 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Bender",
"Carl M.",
""
],
[
"Boettcher",
"Stefan",
""
],
[
"Jones",
"H. F.",
""
],
[
"Meisinger",
"Peter",
""
],
[
"Simsek",
"Mehmet",
""
]
] |
The spectrum of the Hermitian Hamiltonian ${1\over2}p^2+{1\over2}m^2x^2+gx^4$ ($g>0$), which describes the quantum anharmonic oscillator, is real and positive. The non-Hermitian quantum-mechanical Hamiltonian $H={1\over2}p^2+{1 \over2}m^2x^2-gx^4$, where the coupling constant $g$ is real and positive, is ${\cal PT}$-symmetric. As a consequence, the spectrum of $H$ is known to be real and positive as well. Here, it is shown that there is a significant difference between these two theories: When $g$ is sufficiently small, the latter Hamiltonian exhibits a two-particle bound state while the former does not. The bound state persists in the corresponding non-Hermitian ${\cal PT}$-symmetric $-g\phi^4$ quantum field theory for all dimensions $0\leq D<3$ but is not present in the conventional Hermitian $g\phi^4$ field theory.
| 4.03752 | 3.642654 | 3.910159 | 3.656703 | 3.731207 | 3.508082 | 3.435839 | 3.606897 | 3.510353 | 4.102293 | 3.547293 | 3.698939 | 3.732774 | 3.628513 | 3.665408 | 3.612328 | 3.519676 | 3.652263 | 3.707453 | 3.837853 | 3.708408 |
1903.00009
|
Ling Lin
|
Mirjam Cvetic, James Halverson, Ling Lin, Muyang Liu, Jiahua Tian
|
A Quadrillion Standard Models from F-theory
|
7 pages, double column; v3: improved and expanded discussion,
technical details deferred to an added appendix
|
Phys. Rev. Lett. 123, 101601 (2019)
|
10.1103/PhysRevLett.123.101601
|
UPR-1297-T
|
hep-th hep-ph math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an explicit construction of ${\cal O}(10^{15})$ globally
consistent string compactifications that realize the exact chiral spectrum of
the Standard Model of particle physics with gauge coupling unification in the
context of F-theory. Utilizing the power of algebraic geometry, all global
consistency conditions can be reduced to a single criterion on the base of the
underlying elliptically fibered Calabi--Yau fourfolds. For toric bases, this
criterion only depends on an associated polytope and is satisfied for at least
${\cal O}(10^{15})$ bases, each of which defines a distinct compactification.
|
[
{
"created": "Thu, 28 Feb 2019 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2019 17:37:51 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Sep 2019 16:57:36 GMT",
"version": "v3"
}
] |
2019-09-16
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Halverson",
"James",
""
],
[
"Lin",
"Ling",
""
],
[
"Liu",
"Muyang",
""
],
[
"Tian",
"Jiahua",
""
]
] |
We present an explicit construction of ${\cal O}(10^{15})$ globally consistent string compactifications that realize the exact chiral spectrum of the Standard Model of particle physics with gauge coupling unification in the context of F-theory. Utilizing the power of algebraic geometry, all global consistency conditions can be reduced to a single criterion on the base of the underlying elliptically fibered Calabi--Yau fourfolds. For toric bases, this criterion only depends on an associated polytope and is satisfied for at least ${\cal O}(10^{15})$ bases, each of which defines a distinct compactification.
| 5.73107 | 6.144524 | 6.781798 | 5.514345 | 5.599192 | 5.833987 | 5.632151 | 5.761356 | 5.929526 | 7.538372 | 5.440664 | 5.537023 | 5.899392 | 5.434645 | 5.53915 | 5.459347 | 5.659582 | 5.583528 | 5.69956 | 5.982782 | 5.556687 |
2007.09993
|
Massimo Taronna
|
Charlotte Sleight and Massimo Taronna
|
From AdS to dS Exchanges: Spectral Representation, Mellin Amplitudes and
Crossing
|
13 pages
| null |
10.1103/PhysRevD.104.L081902
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a simple general relation between tree-level exchanges in AdS and
dS. This relation allows to directly import techniques and results for AdS
Witten diagrams, both in position and momentum space, to boundary correlation
functions in dS. In this work we apply this relation to define Mellin
amplitudes and a spectral representation for exchanges in dS. We also derive
the conformal block decomposition of a dS exchange, both in the direct and
crossed channels, from their AdS counterparts. The relation between AdS and dS
exchanges itself is derived using a recently introduced Mellin-Barnes
representation for boundary correlators in momentum space, where (A)dS
exchanges are straightforwardly fixed by a combination of factorisation,
conformal symmetry and boundary conditions.
|
[
{
"created": "Mon, 20 Jul 2020 10:38:01 GMT",
"version": "v1"
}
] |
2021-11-03
|
[
[
"Sleight",
"Charlotte",
""
],
[
"Taronna",
"Massimo",
""
]
] |
We present a simple general relation between tree-level exchanges in AdS and dS. This relation allows to directly import techniques and results for AdS Witten diagrams, both in position and momentum space, to boundary correlation functions in dS. In this work we apply this relation to define Mellin amplitudes and a spectral representation for exchanges in dS. We also derive the conformal block decomposition of a dS exchange, both in the direct and crossed channels, from their AdS counterparts. The relation between AdS and dS exchanges itself is derived using a recently introduced Mellin-Barnes representation for boundary correlators in momentum space, where (A)dS exchanges are straightforwardly fixed by a combination of factorisation, conformal symmetry and boundary conditions.
| 9.6147 | 7.919532 | 10.463202 | 8.119039 | 9.211206 | 8.658809 | 7.784514 | 8.443481 | 7.8665 | 11.071621 | 8.331166 | 8.15163 | 9.297966 | 8.410303 | 8.317969 | 8.218274 | 8.219685 | 8.391912 | 8.510896 | 9.531421 | 8.65517 |
2209.01163
|
Rudra Prakash Malik
|
A. K. Rao, A. Tripathi, B. Chauhan, R. P. Malik
|
Noether Theorem and Nilpotency Property of the (Anti-)BRST Charges in
the BRST Formalism: A Brief Review
|
LaTeX file, 35 pages, version to appear in UNIVERSE
|
Universe 8 (2022) 566 (30 pages)
|
10.3390/universe8110566
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In some of the physically interesting gauge systems, we show that the
application of the Noether theorem does not lead to the deduction of the
Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST charges that obey precisely the
off-shell nilpotency property despite the fact that these charges are $(i)$
derived by using the off-shell nilpotent (anti-)BRST symmetry transformations,
$(ii)$ the generators of the above continuous symmetry transformations, and
$(iii)$ conserved w.r.t. the time-evolution due to the Euler-Lagrange equations
of motion derived from the Lagrangians/Lagrangian densities (that describe the
dynamics of the suitably chosen physical systems). We propose a systematic
method for the derivation of the off-shell nilpotent (anti-)BRST charges from
the corresponding {non-nilpotent Noether conserved (anti-)BRST charges. To
corroborate the sanctity and preciseness of our proposal, we take into account
the examples of $(i)$ the one ($0 + 1$)-dimensional (1D) system of a massive
spinning (i.e. SUSY) relativistic particle, $(ii)$ the D-dimensional
non-Abelian 1-form gauge theory, and $(iii)$ the Abelian 2-form and the
St${\ddot u}$ckelberg-modified version of the massive Abelian 3-form gauge
theories in any arbitrary D-dimension of spacetime. Our present endeavor is a
brief review where some decisive proposals have been made and a few novel
results have been obtained as far as the nilpotency property is concerned.
|
[
{
"created": "Fri, 2 Sep 2022 16:47:50 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2022 11:22:15 GMT",
"version": "v2"
}
] |
2022-11-18
|
[
[
"Rao",
"A. K.",
""
],
[
"Tripathi",
"A.",
""
],
[
"Chauhan",
"B.",
""
],
[
"Malik",
"R. P.",
""
]
] |
In some of the physically interesting gauge systems, we show that the application of the Noether theorem does not lead to the deduction of the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST charges that obey precisely the off-shell nilpotency property despite the fact that these charges are $(i)$ derived by using the off-shell nilpotent (anti-)BRST symmetry transformations, $(ii)$ the generators of the above continuous symmetry transformations, and $(iii)$ conserved w.r.t. the time-evolution due to the Euler-Lagrange equations of motion derived from the Lagrangians/Lagrangian densities (that describe the dynamics of the suitably chosen physical systems). We propose a systematic method for the derivation of the off-shell nilpotent (anti-)BRST charges from the corresponding {non-nilpotent Noether conserved (anti-)BRST charges. To corroborate the sanctity and preciseness of our proposal, we take into account the examples of $(i)$ the one ($0 + 1$)-dimensional (1D) system of a massive spinning (i.e. SUSY) relativistic particle, $(ii)$ the D-dimensional non-Abelian 1-form gauge theory, and $(iii)$ the Abelian 2-form and the St${\ddot u}$ckelberg-modified version of the massive Abelian 3-form gauge theories in any arbitrary D-dimension of spacetime. Our present endeavor is a brief review where some decisive proposals have been made and a few novel results have been obtained as far as the nilpotency property is concerned.
| 7.033077 | 5.606194 | 8.16064 | 5.708045 | 6.508648 | 5.679019 | 5.887808 | 5.698627 | 5.997331 | 8.579695 | 6.13446 | 6.393742 | 6.730902 | 6.25926 | 6.56273 | 6.723679 | 6.682386 | 6.55141 | 6.343829 | 6.857679 | 6.350407 |
1212.1049
|
Hai-Qing Zhang
|
Xin Gao, Antonio M. Garc\'ia-Garc\'ia, Hua Bi Zeng, Hai-Qing Zhang
|
Normal modes and time evolution of a holographic superconductor after a
quantum quench
|
10 pages, 7 figures, corrected typos, expanded section on chaotic
oscillations and new results for other quench
| null | null | null |
hep-th cond-mat.supr-con gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We employ holographic techniques to investigate the dynamics of the order
parameter of a strongly coupled superconductor after a perturbation that drives
the system out of equilibrium. The gravity dual that we employ is the ${\rm
AdS}_5$ Soliton background at zero temperature. We first analyze the normal
modes associated to the superconducting order parameter which are purely real
since the background has no horizon. We then study the full time evolution of
the order parameter after a quench. For sufficiently a weak and slow
perturbation we show that the order parameter undergoes simple undamped
oscillations in time with a frequency that agrees with the lowest normal model
computed previously. This is expected as the soliton background has no horizon
and therefore, at least in the probe and large $N$ limits considered, the
system will never return to equilibrium. For stronger and more abrupt
perturbations higher normal modes are excited and the pattern of oscillations
becomes increasingly intricate. We identify a range of parameters for which the
time evolution of the order parameter become quasi chaotic. The details of the
chaotic evolution depend on the type of perturbation used. Therefore it is
plausible to expect that it is possible to engineer a perturbation that leads
to the almost complete destruction of the oscillating pattern and consequently
to quasi equilibration induced by superposition of modes with different
frequencies.
|
[
{
"created": "Wed, 5 Dec 2012 15:20:48 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jan 2013 21:58:17 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Feb 2014 16:55:18 GMT",
"version": "v3"
},
{
"created": "Tue, 6 May 2014 17:09:23 GMT",
"version": "v4"
}
] |
2014-05-07
|
[
[
"Gao",
"Xin",
""
],
[
"García-García",
"Antonio M.",
""
],
[
"Zeng",
"Hua Bi",
""
],
[
"Zhang",
"Hai-Qing",
""
]
] |
We employ holographic techniques to investigate the dynamics of the order parameter of a strongly coupled superconductor after a perturbation that drives the system out of equilibrium. The gravity dual that we employ is the ${\rm AdS}_5$ Soliton background at zero temperature. We first analyze the normal modes associated to the superconducting order parameter which are purely real since the background has no horizon. We then study the full time evolution of the order parameter after a quench. For sufficiently a weak and slow perturbation we show that the order parameter undergoes simple undamped oscillations in time with a frequency that agrees with the lowest normal model computed previously. This is expected as the soliton background has no horizon and therefore, at least in the probe and large $N$ limits considered, the system will never return to equilibrium. For stronger and more abrupt perturbations higher normal modes are excited and the pattern of oscillations becomes increasingly intricate. We identify a range of parameters for which the time evolution of the order parameter become quasi chaotic. The details of the chaotic evolution depend on the type of perturbation used. Therefore it is plausible to expect that it is possible to engineer a perturbation that leads to the almost complete destruction of the oscillating pattern and consequently to quasi equilibration induced by superposition of modes with different frequencies.
| 8.509917 | 8.74136 | 9.177002 | 8.031455 | 8.714107 | 9.196432 | 8.285029 | 8.110803 | 8.258654 | 9.629155 | 8.258413 | 8.328069 | 8.405721 | 8.206813 | 8.32146 | 8.093884 | 8.139164 | 8.108662 | 8.14904 | 8.474756 | 8.314506 |
hep-th/0506068
|
Gabriele Travaglini
|
Andreas Brandhuber, Simon McNamara, Bill Spence, Gabriele Travaglini
|
Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
|
35 pages, 10 figures
|
JHEP0510:011,2005
|
10.1088/1126-6708/2005/10/011
|
QMUL-PH-05-09
|
hep-th hep-ph
| null |
We show how generalised unitarity cuts in D = 4 - 2 epsilon dimensions can be
used to calculate efficiently complete one-loop scattering amplitudes in
non-supersymmetric Yang-Mills theory. This approach naturally generates the
rational terms in the amplitudes, as well as the cut-constructible parts. We
test the validity of our method by re-deriving the one-loop ++++, -+++, --++,
-+-+ and +++++ gluon scattering amplitudes using generalised quadruple cuts and
triple cuts in D dimensions.
|
[
{
"created": "Thu, 9 Jun 2005 17:21:40 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Brandhuber",
"Andreas",
""
],
[
"McNamara",
"Simon",
""
],
[
"Spence",
"Bill",
""
],
[
"Travaglini",
"Gabriele",
""
]
] |
We show how generalised unitarity cuts in D = 4 - 2 epsilon dimensions can be used to calculate efficiently complete one-loop scattering amplitudes in non-supersymmetric Yang-Mills theory. This approach naturally generates the rational terms in the amplitudes, as well as the cut-constructible parts. We test the validity of our method by re-deriving the one-loop ++++, -+++, --++, -+-+ and +++++ gluon scattering amplitudes using generalised quadruple cuts and triple cuts in D dimensions.
| 5.395252 | 6.62578 | 6.288187 | 5.884907 | 7.013638 | 6.686813 | 6.80245 | 6.413681 | 5.599529 | 6.409289 | 6.566155 | 5.935421 | 5.65727 | 5.663913 | 5.900249 | 5.768431 | 6.076802 | 5.830624 | 5.641452 | 5.963848 | 5.899211 |
2311.12683
|
Filiberto Ares
|
Filiberto Ares, Sara Murciano, Lorenzo Piroli, Pasquale Calabrese
|
An entanglement asymmetry study of black hole radiation
|
5 pages, 3 figures
| null | null | null |
hep-th cond-mat.stat-mech gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Hawking discovery that black holes can evaporate through radiation emission
has posed a number of questions that with time became fundamental hallmarks for
a quantum theory of gravity. The most famous one is likely the information
paradox, which finds an elegant explanation in the Page argument suggesting
that a black hole and its radiation can be effectively represented by a random
state of qubits. Leveraging the same assumption, we ponder the extent to which
a black hole may display emergent symmetries, employing the entanglement
asymmetry as a modern, information-based indicator of symmetry breaking. We
find that for a random state devoid of any symmetry, a $U(1)$ symmetry emerges
and it is exact in the thermodynamic limit before the Page time. At the Page
time, the entanglement asymmetry shows a finite jump to a large value. Our
findings imply that the emitted radiation is symmetric up to the Page time and
then undergoes a sharp transition. Conversely the black hole is symmetric only
after the Page time.
|
[
{
"created": "Tue, 21 Nov 2023 15:40:20 GMT",
"version": "v1"
}
] |
2023-11-22
|
[
[
"Ares",
"Filiberto",
""
],
[
"Murciano",
"Sara",
""
],
[
"Piroli",
"Lorenzo",
""
],
[
"Calabrese",
"Pasquale",
""
]
] |
Hawking discovery that black holes can evaporate through radiation emission has posed a number of questions that with time became fundamental hallmarks for a quantum theory of gravity. The most famous one is likely the information paradox, which finds an elegant explanation in the Page argument suggesting that a black hole and its radiation can be effectively represented by a random state of qubits. Leveraging the same assumption, we ponder the extent to which a black hole may display emergent symmetries, employing the entanglement asymmetry as a modern, information-based indicator of symmetry breaking. We find that for a random state devoid of any symmetry, a $U(1)$ symmetry emerges and it is exact in the thermodynamic limit before the Page time. At the Page time, the entanglement asymmetry shows a finite jump to a large value. Our findings imply that the emitted radiation is symmetric up to the Page time and then undergoes a sharp transition. Conversely the black hole is symmetric only after the Page time.
| 12.522181 | 12.245718 | 12.002507 | 11.086262 | 11.79495 | 11.345902 | 11.145059 | 11.013993 | 11.609477 | 12.892889 | 11.049538 | 10.907517 | 11.049941 | 10.867657 | 10.882806 | 11.04918 | 10.707031 | 10.716766 | 10.832319 | 11.177534 | 10.903581 |
hep-th/9303032
|
Samar Abbas
|
Abbas Ali and Alok Kumar
|
$O(\tilde d,\tilde d)$ Transformations and 3D Black Hole
|
12 pages, LaTeX, (December 1992)
|
Mod.Phys.Lett.A8:2045-2052,1993
|
10.1142/S0217732393001756
|
IP/BBSR/92-80
|
hep-th
| null |
We generalize the results of a previous paper by one of the authors to show a
relationship among a class of string solutions through $O(\tilde d, \tilde d)$
transformations. The results are applied to a rotating black hole solution of
three dimensional general relativity discussed recently. We extend the black
hole solution to string theory and show its connection with the three
dimensional black string with nonzero momentum through an $O(\tilde d, \tilde
d)$ transformation of the above type.
|
[
{
"created": "Thu, 4 Mar 1993 19:36:18 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Ali",
"Abbas",
""
],
[
"Kumar",
"Alok",
""
]
] |
We generalize the results of a previous paper by one of the authors to show a relationship among a class of string solutions through $O(\tilde d, \tilde d)$ transformations. The results are applied to a rotating black hole solution of three dimensional general relativity discussed recently. We extend the black hole solution to string theory and show its connection with the three dimensional black string with nonzero momentum through an $O(\tilde d, \tilde d)$ transformation of the above type.
| 10.552234 | 9.170001 | 10.50651 | 9.869585 | 10.435095 | 9.227657 | 9.089331 | 9.12691 | 9.792938 | 11.798032 | 9.252193 | 10.054317 | 10.267492 | 9.833168 | 9.285025 | 9.435068 | 9.265604 | 9.766388 | 10.010415 | 10.464616 | 9.432144 |
hep-th/9705015
|
Maxim Zabzin
|
Maxim Zabzine (Stockholm University)
|
A finite temperature generalization of Zamolodchikov's C-theorem
|
22 pages, LaTeX
| null | null |
USITP-97-05
|
hep-th cond-mat
| null |
We prove a C-theorem within the framework of two dimensional quantum field
theories at finite temperature. There exists a function C(g) of coupling
constants which is non-increasing along renormalization group trajectories and
non-decreasing along temperature trajectory and stationary only at the fixed
points. The connection between the C-theorem at zero temperature and the
C-theorem at finite temperature is discussed. We also consider the
thermodynamical aspects of the C-theorem. If we define the C-function in an
arbitrary number of dimensions in anology to the two dimensional case, we can
show that its behavior is not universal. The phase transitions destroy the
monotonic properties of the C-function. The proof of the C-theorem is also
presented within the framework of the Kallen-Lehmann spectral representation at
finite temperature.
|
[
{
"created": "Mon, 5 May 1997 08:17:37 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Zabzine",
"Maxim",
"",
"Stockholm University"
]
] |
We prove a C-theorem within the framework of two dimensional quantum field theories at finite temperature. There exists a function C(g) of coupling constants which is non-increasing along renormalization group trajectories and non-decreasing along temperature trajectory and stationary only at the fixed points. The connection between the C-theorem at zero temperature and the C-theorem at finite temperature is discussed. We also consider the thermodynamical aspects of the C-theorem. If we define the C-function in an arbitrary number of dimensions in anology to the two dimensional case, we can show that its behavior is not universal. The phase transitions destroy the monotonic properties of the C-function. The proof of the C-theorem is also presented within the framework of the Kallen-Lehmann spectral representation at finite temperature.
| 7.184343 | 7.094975 | 7.688145 | 7.08672 | 6.794534 | 6.940032 | 7.14908 | 7.248702 | 6.484014 | 8.033284 | 6.698043 | 6.737747 | 7.386752 | 6.704662 | 7.030777 | 6.823676 | 6.933029 | 7.019143 | 6.697215 | 7.436605 | 6.716299 |
2203.00022
|
Angelo Esposito
|
Tom\'a\v{s} Brauner, Angelo Esposito, Riccardo Penco
|
Fractional soft limits
|
6 pages, 1 figure
|
Phys. Rev. Lett. 128, 231601 (2022)
|
10.1103/PhysRevLett.128.231601
| null |
hep-th cond-mat.other hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
It is a common lore that the amplitude for a scattering process involving one
soft Nambu--Goldstone boson should scale like an integer power of the soft
momentum. We revisit this expectation by considering the $2 \to 2$ scattering
of phonons in solids. We show that, depending on the helicities of the phonons
involved in the scattering process, the scattering amplitude may in fact vanish
like a fractional power of the soft momentum. This is a peculiarity of the
4-point amplitude, which can be traced back to (1) the (spontaneous or
explicit) breaking of Lorentz invariance, and (2) the approximately collinear
kinematics arising when one of the phonons becomes soft. Our results extend to
the general class of non-relativistic shift-invariant theories of a vector
field.
|
[
{
"created": "Mon, 28 Feb 2022 19:00:05 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jun 2022 20:25:01 GMT",
"version": "v2"
}
] |
2022-06-13
|
[
[
"Brauner",
"Tomáš",
""
],
[
"Esposito",
"Angelo",
""
],
[
"Penco",
"Riccardo",
""
]
] |
It is a common lore that the amplitude for a scattering process involving one soft Nambu--Goldstone boson should scale like an integer power of the soft momentum. We revisit this expectation by considering the $2 \to 2$ scattering of phonons in solids. We show that, depending on the helicities of the phonons involved in the scattering process, the scattering amplitude may in fact vanish like a fractional power of the soft momentum. This is a peculiarity of the 4-point amplitude, which can be traced back to (1) the (spontaneous or explicit) breaking of Lorentz invariance, and (2) the approximately collinear kinematics arising when one of the phonons becomes soft. Our results extend to the general class of non-relativistic shift-invariant theories of a vector field.
| 7.150818 | 6.098412 | 6.236595 | 6.175843 | 6.362087 | 6.314873 | 6.357942 | 6.300604 | 6.116521 | 6.453072 | 6.340224 | 6.273312 | 6.065052 | 5.89473 | 5.900775 | 6.084565 | 5.998297 | 5.876451 | 5.961325 | 6.079054 | 6.024989 |
1202.2938
|
Gary Gibbons
|
M. Cvetic and G. W. Gibbons
|
Graphene and the Zermelo Optical Metric of the BTZ Black Hole
|
10 pages Latex, no figures, substantial revisions, relation between
magnetic and electric fields and Randers and Zermelo forms clarified
| null |
10.1016/j.aop.2012.05.013
|
DAMTP-2012-11
|
hep-th cond-mat.mtrl-sci gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known that the low energy electron excitations of the curved
graphene sheet $\Sigma$ are solutions of the massless Dirac equation on a 2+1
dimensional ultra-static metric on ${\Bbb R} \times \Sigma$. An externally
applied electric field on the graphene sheet induces a gauge potential which
could be mimicked by considering a stationary optical metric of the Zermelo
form, which is conformal to the BTZ black hole when the sheet has a constant
negative curvature. The Randers form of the metric can model a magnetic field,
which is related by a boost to an electric one in the Zermelo frame. We also
show that there is fundamental geometric obstacle to obtaining a model that
extends all the way to the black hole horizon.
|
[
{
"created": "Tue, 14 Feb 2012 04:44:11 GMT",
"version": "v1"
},
{
"created": "Wed, 23 May 2012 20:35:15 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Cvetic",
"M.",
""
],
[
"Gibbons",
"G. W.",
""
]
] |
It is well known that the low energy electron excitations of the curved graphene sheet $\Sigma$ are solutions of the massless Dirac equation on a 2+1 dimensional ultra-static metric on ${\Bbb R} \times \Sigma$. An externally applied electric field on the graphene sheet induces a gauge potential which could be mimicked by considering a stationary optical metric of the Zermelo form, which is conformal to the BTZ black hole when the sheet has a constant negative curvature. The Randers form of the metric can model a magnetic field, which is related by a boost to an electric one in the Zermelo frame. We also show that there is fundamental geometric obstacle to obtaining a model that extends all the way to the black hole horizon.
| 13.323676 | 13.564777 | 13.153878 | 12.231854 | 12.588921 | 11.941297 | 12.003516 | 12.289511 | 12.844177 | 14.270968 | 12.203114 | 11.653009 | 12.471587 | 12.282516 | 12.214588 | 12.14464 | 12.384352 | 12.395722 | 11.914871 | 13.434109 | 11.995237 |
2310.19839
|
Maurice H. P. M. van Putten
|
Maurice H.P.M. van Putten
|
A unit of information in black hole evaporation
|
5 pages, 2 figures, updated from KPS 70th Anniversary and 2022 Fall
Meeting, Busan, South Korea, Oct 19-21, 2022 (Session Field and String
Theory, Part B2.01)
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Black holes evolve by evaporation of their event horizon. While this process
is believed to be unitary, there is no consensus on the recovery of information
in black hole entropy. A missing link is a unit of information in black hole
evaporation. Distinct from Hawking radiation, we identify evaporation in
entangled pairs by $\mathbb{P}^2$ topology of the event horizon consistent with
the Bekenstein-Hawking entropy in a uniformly spaced horizon area, where $k_B$
denotes the Boltzmann constant. It derives by continuation of $\mathbb{P}^2$ in
Rindler spacetime prior to gravitational collapse, subject to a tight
correlation of the fundamental frequency of Quasi-Normal-Mode (QNM) ringing in
gravitational and electromagnetic radiation. Information extraction from
entangled pairs by detecting one over the surface spanned by three faces of a
large cube carries a unit of information of $2\log3$ upon including measurement
of spin.
|
[
{
"created": "Mon, 30 Oct 2023 05:39:33 GMT",
"version": "v1"
}
] |
2023-11-01
|
[
[
"van Putten",
"Maurice H. P. M.",
""
]
] |
Black holes evolve by evaporation of their event horizon. While this process is believed to be unitary, there is no consensus on the recovery of information in black hole entropy. A missing link is a unit of information in black hole evaporation. Distinct from Hawking radiation, we identify evaporation in entangled pairs by $\mathbb{P}^2$ topology of the event horizon consistent with the Bekenstein-Hawking entropy in a uniformly spaced horizon area, where $k_B$ denotes the Boltzmann constant. It derives by continuation of $\mathbb{P}^2$ in Rindler spacetime prior to gravitational collapse, subject to a tight correlation of the fundamental frequency of Quasi-Normal-Mode (QNM) ringing in gravitational and electromagnetic radiation. Information extraction from entangled pairs by detecting one over the surface spanned by three faces of a large cube carries a unit of information of $2\log3$ upon including measurement of spin.
| 17.852482 | 19.771284 | 18.675983 | 16.851273 | 18.123222 | 18.870693 | 19.103872 | 17.923765 | 18.885942 | 18.319725 | 18.02215 | 17.149851 | 16.923445 | 17.10375 | 16.182444 | 16.524414 | 16.773088 | 16.665854 | 17.125862 | 17.641689 | 17.129946 |
hep-th/9506053
|
Vasily Tarasov
|
Vasily E. Tarasov
|
Strings and Dissipative Mechanics
|
11 pages, LaTex
| null | null |
Proc. Int. IX Workshop on High Energy Physics and Quantum Field
Theory (Russia, September 1994)
|
hep-th quant-ph
| null |
Noncritical strings in the "coupling constant" phase space and bosonic string
in the affine-metric curved space are dissipative systems. But the quantum
descriptions of the dissipative systems have well known ambiguities. We suggest
some approach to solve the problems of this description. The generalized
Poisson algebra for dissipative systems is considered.
|
[
{
"created": "Thu, 8 Jun 1995 12:52:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tarasov",
"Vasily E.",
""
]
] |
Noncritical strings in the "coupling constant" phase space and bosonic string in the affine-metric curved space are dissipative systems. But the quantum descriptions of the dissipative systems have well known ambiguities. We suggest some approach to solve the problems of this description. The generalized Poisson algebra for dissipative systems is considered.
| 25.811558 | 18.008659 | 21.646141 | 18.393547 | 16.323826 | 17.541159 | 20.218586 | 18.371639 | 17.042545 | 25.166025 | 19.954319 | 19.576324 | 20.141115 | 19.525723 | 19.516008 | 19.977245 | 19.874075 | 20.079079 | 20.405651 | 21.632738 | 20.059856 |
hep-th/0201008
|
Dr A. Doikou
|
Anastasia Doikou
|
The XXX spin s quantum chain and the alternating $s^{1}$, $s^{2}$ chain
with boundaries
|
21 pages Latex, one reference added, minor revisions in the title and
the text, to appear in Nucl. Phys. B
|
Nucl.Phys.B634:591-610,2002
|
10.1016/S0550-3213(02)00254-7
| null |
hep-th cond-mat
| null |
The integrable XXX spin s quantum chain and the alternating $s^{1}$, $s^{2}$
($s^{1}-s^{2}={1\over 2}$) chain with boundaries are considered. The scattering
of their excitations with the boundaries via the Bethe ansatz method is
studied, and the exact boundary S matrices are computed in the limit $s, s^{1,
2} \to \infty$. Moreover, the connection of these models with the SU(2)
Principal Chiral, WZW and the RSOS models is discussed.
|
[
{
"created": "Wed, 2 Jan 2002 17:52:19 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 2002 17:41:58 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Doikou",
"Anastasia",
""
]
] |
The integrable XXX spin s quantum chain and the alternating $s^{1}$, $s^{2}$ ($s^{1}-s^{2}={1\over 2}$) chain with boundaries are considered. The scattering of their excitations with the boundaries via the Bethe ansatz method is studied, and the exact boundary S matrices are computed in the limit $s, s^{1, 2} \to \infty$. Moreover, the connection of these models with the SU(2) Principal Chiral, WZW and the RSOS models is discussed.
| 8.532128 | 8.327443 | 9.760786 | 7.677349 | 8.15547 | 8.804506 | 8.299887 | 7.695637 | 7.284069 | 11.344584 | 8.07211 | 7.400908 | 8.443802 | 7.688087 | 7.903938 | 7.810657 | 7.748128 | 7.81449 | 8.018356 | 8.406634 | 7.880995 |
0801.0998
|
Hiroyuki Abe
|
Hiroyuki Abe, Tetsutaro Higaki, Tatsuo Kobayashi, Yuji Omura
|
Dynamically sequestered F-term uplifting in extra dimension
|
22 pages, no figure
|
JHEP 0804:072,2008
|
10.1088/1126-6708/2008/04/072
|
YITP-07-98, TU-787, KUNS-2118
|
hep-th hep-ph
| null |
We study concretely several issues altogether, moduli stabilization, the
dynamical supersymmetry (SUSY) breaking, the uplifting of SUSY anti-de Sitter
(AdS) vacuum and the sequestering of hidden sector, in a simple supergravity
model with a single extra dimension. The sequestering is achieved dynamically
by a wavefunction localization in extra dimension. The expressions for the
visible sector soft SUSY breaking terms as well as the hidden sector potential
are shown explicitly in our model. We find that the tree-level soft scalar mass
and the A-term can be suppressed at a SUSY breaking Minkowski minimum where the
radius modulus is stabilized, while gaugino masses would be a mirage type.
|
[
{
"created": "Mon, 7 Jan 2008 14:41:44 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Abe",
"Hiroyuki",
""
],
[
"Higaki",
"Tetsutaro",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Omura",
"Yuji",
""
]
] |
We study concretely several issues altogether, moduli stabilization, the dynamical supersymmetry (SUSY) breaking, the uplifting of SUSY anti-de Sitter (AdS) vacuum and the sequestering of hidden sector, in a simple supergravity model with a single extra dimension. The sequestering is achieved dynamically by a wavefunction localization in extra dimension. The expressions for the visible sector soft SUSY breaking terms as well as the hidden sector potential are shown explicitly in our model. We find that the tree-level soft scalar mass and the A-term can be suppressed at a SUSY breaking Minkowski minimum where the radius modulus is stabilized, while gaugino masses would be a mirage type.
| 10.013496 | 8.969531 | 8.929287 | 8.90456 | 9.347795 | 9.633477 | 9.328448 | 9.21526 | 8.817712 | 9.160533 | 9.469928 | 8.827745 | 9.073346 | 8.592858 | 8.956532 | 9.220203 | 8.801215 | 8.889027 | 8.684314 | 8.891441 | 8.87453 |
1808.10052
|
P Klimas
|
L. A. Ferreira, P. Klimas and Wojtek J. Zakrzewski
|
Self-dual sectors for scalar field theories in (1 + 1) dimensions
|
39 pages, 17 figures
| null |
10.1007/JHEP01(2019)020
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use ideas of generalized self-duality conditions to construct real scalar
field theories in (1 + 1)-dimensions with exact self dual sectors. The approach
is based on a pre-potential U that defines the topological charge and the
potential energy of these theories. In our algebraic method to construct the
required pre-potentials we use the representation theory of Lie groups. This
approach leads naturally to an infinite set of degenerate vacua and so to
topologically non-trivial self-dual solutions of these models. We present
explicit examples for the groups SU(2), SU(3) and SO(5) and discuss some
properties of these solutions.
|
[
{
"created": "Wed, 29 Aug 2018 21:52:36 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Nov 2018 12:28:38 GMT",
"version": "v2"
}
] |
2019-01-30
|
[
[
"Ferreira",
"L. A.",
""
],
[
"Klimas",
"P.",
""
],
[
"Zakrzewski",
"Wojtek J.",
""
]
] |
We use ideas of generalized self-duality conditions to construct real scalar field theories in (1 + 1)-dimensions with exact self dual sectors. The approach is based on a pre-potential U that defines the topological charge and the potential energy of these theories. In our algebraic method to construct the required pre-potentials we use the representation theory of Lie groups. This approach leads naturally to an infinite set of degenerate vacua and so to topologically non-trivial self-dual solutions of these models. We present explicit examples for the groups SU(2), SU(3) and SO(5) and discuss some properties of these solutions.
| 9.301325 | 9.669778 | 9.644432 | 8.510448 | 8.99035 | 9.462671 | 9.407581 | 9.285028 | 8.812068 | 10.105353 | 8.89562 | 8.793713 | 8.703382 | 8.502761 | 8.743238 | 8.73208 | 8.783384 | 8.756548 | 8.534043 | 8.637393 | 8.470997 |
hep-th/9205093
|
Gustav Delius
|
G.W. Delius, M.T. Grisaru and P. van Nieuwenhuizen
|
Induced (N,0) supergravity as a constrained Osp(N,2) WZWN model and its
effective action
|
23p
|
Nucl.Phys. B389 (1993) 25-52
|
10.1016/0550-3213(93)90284-V
| null |
hep-th
| null |
A chiral $(N,0) $ supergravity theory in d=2 dimensions for any $N$ and its
induced action can be obtained by constraining the currents of an Osp(N$|$2)
WZWN model. The underlying symmetry algebras are the nonlinear SO(N)
superconformal algebras of Knizhnik and Bershadsky. The case $N=3$ is worked
out in detail. We show that by adding quantum corrections to the classical
transformation rules, the gauge algebra on gauge fields and currents closes.
Integrability conditions on Ward identities are derived. The effective action
is computed at one loop. It is finite, and can be obtained from the induced
action by rescaling the central charge and fields by finite Z factors.
|
[
{
"created": "Tue, 26 May 1992 14:18:43 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Delius",
"G. W.",
""
],
[
"Grisaru",
"M. T.",
""
],
[
"van Nieuwenhuizen",
"P.",
""
]
] |
A chiral $(N,0) $ supergravity theory in d=2 dimensions for any $N$ and its induced action can be obtained by constraining the currents of an Osp(N$|$2) WZWN model. The underlying symmetry algebras are the nonlinear SO(N) superconformal algebras of Knizhnik and Bershadsky. The case $N=3$ is worked out in detail. We show that by adding quantum corrections to the classical transformation rules, the gauge algebra on gauge fields and currents closes. Integrability conditions on Ward identities are derived. The effective action is computed at one loop. It is finite, and can be obtained from the induced action by rescaling the central charge and fields by finite Z factors.
| 12.127719 | 10.766432 | 13.327896 | 10.539544 | 11.955996 | 11.652924 | 11.504482 | 10.530838 | 10.971653 | 14.675115 | 11.178936 | 11.057463 | 13.52395 | 11.430061 | 11.467105 | 11.39729 | 11.565941 | 11.459431 | 11.432419 | 12.503921 | 11.686004 |
hep-th/0405210
|
Jarah Evslin
|
Jarah Evslin
|
The Cascade is a MMS Instanton
|
32 Pages, 5 eps Figures
|
Advances in Soliton Research, Nova Science Publishers, 2006, pages
153-187
| null | null |
hep-th
| null |
Wrap m D5-branes around the 2-cycle of a conifold, place n D3-branes at a
point and watch the system relax. The D5-branes source m units of RR 3-form
flux on the 3-cycle, which cause dielectric NS5-branes to nucleate and
repeatedly sweep out the 3-cycle, each time gaining m units of D3-charge while
the stack of D5-branes loses m units of D3-charge. A similar description of the
Klebanov-Strassler cascade has been proposed by Kachru, et al. when m>>m-n.
Using the T-dual MQCD we argue that the above process occurs for any m and n
and in particular may continue for more than one step. The nonbaryonic roots of
the SQCD vacua lead to new cascades because, for example, the 3-cycle swept
does not link all of the D5's. This decay is the S-dual of a MMS instanton,
which is the decay into flux of a brane that is trivial in twisted K-theory.
This provides the first evidence for the S-dual of the K-theory classification
that does not itself rely upon any strong/weak duality.
|
[
{
"created": "Mon, 24 May 2004 14:27:33 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Evslin",
"Jarah",
""
]
] |
Wrap m D5-branes around the 2-cycle of a conifold, place n D3-branes at a point and watch the system relax. The D5-branes source m units of RR 3-form flux on the 3-cycle, which cause dielectric NS5-branes to nucleate and repeatedly sweep out the 3-cycle, each time gaining m units of D3-charge while the stack of D5-branes loses m units of D3-charge. A similar description of the Klebanov-Strassler cascade has been proposed by Kachru, et al. when m>>m-n. Using the T-dual MQCD we argue that the above process occurs for any m and n and in particular may continue for more than one step. The nonbaryonic roots of the SQCD vacua lead to new cascades because, for example, the 3-cycle swept does not link all of the D5's. This decay is the S-dual of a MMS instanton, which is the decay into flux of a brane that is trivial in twisted K-theory. This provides the first evidence for the S-dual of the K-theory classification that does not itself rely upon any strong/weak duality.
| 13.313693 | 13.219512 | 16.088072 | 13.001726 | 14.182127 | 13.093761 | 13.629313 | 12.610785 | 13.126604 | 18.89101 | 13.256846 | 12.251541 | 13.243326 | 12.409993 | 12.297455 | 12.255926 | 12.474749 | 12.393798 | 12.383366 | 13.196231 | 12.961536 |
2311.07777
|
Jennie Traschen
|
Vivek Chakrabhavi, Muldrow Etheredge, Yue Qiu, and Jennie Traschen
|
Constrained Spin Systems and KNdS Black Holes
|
33 pages, 5 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Kerr-Newman de Sitter (KNdS) spacetimes have a rich thermodynamic structure
that involves multiple horizons, and so differs in key respects from
asymptotically flat or AdS black holes. In this paper, we show that certain
features of KNdS spacetimes can be reproduced by a constrained system of $N$
non-interacting spins in a magnetic field. Both the KNdS and spin systems have
bounded energy and entropy, a maximum of the entropy in the interior of the
energy range, and a symmetry that maps lower energy states to higher energy
states with the same entropy. Consequently, both systems have a temperature
that can be positive or negative, where the gravitational temperature is
defined analogously to that of the spins. We find that the number of spins $N$
corresponds to $1/\Lambda$ for black holes with very small charge $q$ and
rotation parameter $a$, and scales like $\sqrt{(a^2+q^2)/\Lambda}$ for larger
values of $a$ and $q$. By studying constrained spin systems, we provide insight
into the thermodynamics of KNdS spacetimes and its quantum mechanical
description.
|
[
{
"created": "Mon, 13 Nov 2023 22:06:11 GMT",
"version": "v1"
}
] |
2023-11-15
|
[
[
"Chakrabhavi",
"Vivek",
""
],
[
"Etheredge",
"Muldrow",
""
],
[
"Qiu",
"Yue",
""
],
[
"Traschen",
"Jennie",
""
]
] |
Kerr-Newman de Sitter (KNdS) spacetimes have a rich thermodynamic structure that involves multiple horizons, and so differs in key respects from asymptotically flat or AdS black holes. In this paper, we show that certain features of KNdS spacetimes can be reproduced by a constrained system of $N$ non-interacting spins in a magnetic field. Both the KNdS and spin systems have bounded energy and entropy, a maximum of the entropy in the interior of the energy range, and a symmetry that maps lower energy states to higher energy states with the same entropy. Consequently, both systems have a temperature that can be positive or negative, where the gravitational temperature is defined analogously to that of the spins. We find that the number of spins $N$ corresponds to $1/\Lambda$ for black holes with very small charge $q$ and rotation parameter $a$, and scales like $\sqrt{(a^2+q^2)/\Lambda}$ for larger values of $a$ and $q$. By studying constrained spin systems, we provide insight into the thermodynamics of KNdS spacetimes and its quantum mechanical description.
| 6.798111 | 6.599326 | 6.314557 | 6.084879 | 6.578613 | 6.7076 | 6.352051 | 6.604732 | 6.433558 | 6.405117 | 6.233306 | 6.193011 | 6.210773 | 6.107289 | 6.05965 | 6.077006 | 6.015283 | 6.177039 | 5.998656 | 6.377591 | 6.124372 |
hep-th/9807193
|
Martin G. Harris
|
M. G. Harris
|
A Diagrammatic Approach to the Meander Problem
|
LaTeX 25 pages, 22 figures
| null | null |
NBI-HE-98-18
|
hep-th
| null |
The meander problem is a combinatorial problem which provides a toy model of
the compact folding of polymer chains. In this paper we study various questions
relating to the enumeration of meander diagrams, using diagrammatical methods.
By studying the problem of folding tree graphs, we derive a lower bound on the
exponential behaviour of the number of connected meander diagrams. A different
diagrammatical method, based on a non-commutative algebra, provides an
approximate calculation of the behaviour of the generating functions for both
meander and semi-meander diagrams.
|
[
{
"created": "Mon, 27 Jul 1998 14:52:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Harris",
"M. G.",
""
]
] |
The meander problem is a combinatorial problem which provides a toy model of the compact folding of polymer chains. In this paper we study various questions relating to the enumeration of meander diagrams, using diagrammatical methods. By studying the problem of folding tree graphs, we derive a lower bound on the exponential behaviour of the number of connected meander diagrams. A different diagrammatical method, based on a non-commutative algebra, provides an approximate calculation of the behaviour of the generating functions for both meander and semi-meander diagrams.
| 12.037341 | 10.987734 | 12.317088 | 9.990649 | 10.545883 | 10.441628 | 11.861036 | 10.664398 | 10.513092 | 13.122033 | 10.965685 | 10.732134 | 11.837737 | 11.326679 | 11.170749 | 10.760717 | 11.035576 | 11.157679 | 11.284243 | 11.770865 | 10.966964 |
hep-th/0512299
|
Jian-Huang She
|
Jian-Huang She
|
Winding String Condensation and Noncommutative Deformation of Spacelike
Singularity
|
16 pages, no figures, harvmac; references added; added a section of
discussion on disk and cylinder amplitudes
|
Phys.Rev.D74:046005,2006
|
10.1103/PhysRevD.74.046005
| null |
hep-th
| null |
In a previous paper (hep-th/0509067) using matrix model, we showed that
closed string tachyons can resolve spacelike singularity in one particular
class of Misner space (with anti-periodic boundary conditions for fermions
around the spatial circle). In this note, we show that for Misner space without
closed string tachyons, there also exists a mechanism to resolve the
singularity in the context of the matrix model, namely cosmological winding
string production. We show that here space and time also become noncommutative
due to these winding strings. Employing optical theorem, we study the bulk
boundary coupling by calculating the four-open-string cylinder amplitudes.
|
[
{
"created": "Fri, 23 Dec 2005 06:22:02 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jan 2006 15:24:10 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Feb 2006 11:05:03 GMT",
"version": "v3"
},
{
"created": "Sat, 8 Apr 2006 05:26:33 GMT",
"version": "v4"
},
{
"created": "Fri, 26 May 2006 10:41:15 GMT",
"version": "v5"
},
{
"created": "Fri, 28 Jul 2006 13:50:29 GMT",
"version": "v6"
}
] |
2008-11-26
|
[
[
"She",
"Jian-Huang",
""
]
] |
In a previous paper (hep-th/0509067) using matrix model, we showed that closed string tachyons can resolve spacelike singularity in one particular class of Misner space (with anti-periodic boundary conditions for fermions around the spatial circle). In this note, we show that for Misner space without closed string tachyons, there also exists a mechanism to resolve the singularity in the context of the matrix model, namely cosmological winding string production. We show that here space and time also become noncommutative due to these winding strings. Employing optical theorem, we study the bulk boundary coupling by calculating the four-open-string cylinder amplitudes.
| 12.634828 | 12.863604 | 12.771266 | 11.458714 | 12.047502 | 11.986 | 11.418807 | 12.25663 | 11.624952 | 14.046033 | 11.546312 | 11.368986 | 12.12148 | 11.712647 | 11.303051 | 11.688983 | 11.814198 | 11.687291 | 11.033385 | 11.503262 | 11.523415 |
1610.03065
|
Mark Hertzberg
|
Mark P. Hertzberg
|
Constraints on Gravitation from Causality and Quantum Consistency
|
6 pages in double column format. V2: Updated towards published
version
|
Advances in High Energy Physics, 2018, ID 2657325
|
10.1155/2018/2657325
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the role of consistency with causality and quantum mechanics in
determining the properties of gravitation. We begin by examining two different
classes of interacting theories of massless spin 2 particles -- gravitons. One
involves coupling the graviton with the lowest number of derivatives to matter,
the other involves coupling the graviton with higher derivatives to matter,
making use of the linearized Riemann tensor. The first class requires an
infinite tower of terms for consistency, which is known to lead uniquely to
general relativity. The second class only requires a finite number of terms for
consistency, which appears as another class of theories of massless spin 2. We
recap the causal consistency of general relativity and show how this fails in
the second class for the special case of coupling to photons, exploiting
related calculations in the literature. In a companion paper [1] this result is
generalized to a much broader set of theories. Then, as a causal modification
of general relativity, we add light scalar particles and recap the generic
violation of universal free-fall they introduce and its quantum resolution.
This leads to a discussion of a special type of scalar-tensor theory; the
$F(\mathcal{R})$ models. We show that, unlike general relativity, these models
do not possess the requisite counterterms to be consistent quantum effective
field theories. Together this helps to remove some of the central assumptions
made in deriving general relativity.
|
[
{
"created": "Mon, 10 Oct 2016 20:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Nov 2018 01:32:50 GMT",
"version": "v2"
}
] |
2020-12-24
|
[
[
"Hertzberg",
"Mark P.",
""
]
] |
We examine the role of consistency with causality and quantum mechanics in determining the properties of gravitation. We begin by examining two different classes of interacting theories of massless spin 2 particles -- gravitons. One involves coupling the graviton with the lowest number of derivatives to matter, the other involves coupling the graviton with higher derivatives to matter, making use of the linearized Riemann tensor. The first class requires an infinite tower of terms for consistency, which is known to lead uniquely to general relativity. The second class only requires a finite number of terms for consistency, which appears as another class of theories of massless spin 2. We recap the causal consistency of general relativity and show how this fails in the second class for the special case of coupling to photons, exploiting related calculations in the literature. In a companion paper [1] this result is generalized to a much broader set of theories. Then, as a causal modification of general relativity, we add light scalar particles and recap the generic violation of universal free-fall they introduce and its quantum resolution. This leads to a discussion of a special type of scalar-tensor theory; the $F(\mathcal{R})$ models. We show that, unlike general relativity, these models do not possess the requisite counterterms to be consistent quantum effective field theories. Together this helps to remove some of the central assumptions made in deriving general relativity.
| 11.76468 | 11.527308 | 12.403917 | 11.513756 | 12.262193 | 11.92038 | 11.919059 | 11.10565 | 11.827576 | 13.957828 | 11.244576 | 11.699874 | 11.21447 | 11.251925 | 11.561118 | 11.477411 | 11.335684 | 11.280496 | 11.115674 | 11.943716 | 10.990362 |
0712.2719
|
Kate Marvel
|
Kate Marvel and Neil Turok
|
Horizons and Tunneling in the Euclidean False Vacuum
|
8 pages, 5 figures
| null | null | null |
hep-th
| null |
In the thin-wall approximation, the decay of a gravitating false vacuum to a
lower-energy state is affected by the cosmological horizon structure in both
spaces. The nucleation radius of a bubble of true vacuum depends on the surface
tension of its boundary and equals the false vacuum cosmological horizon at a
critical tension. We argue that there is no tunneling instanton solution beyond
the critical tension and argue that there is therefore a bound on allowed
membrane tension in theories which rely on semiclassical tunneling to relax the
cosmological constant.
|
[
{
"created": "Mon, 17 Dec 2007 13:31:30 GMT",
"version": "v1"
}
] |
2007-12-18
|
[
[
"Marvel",
"Kate",
""
],
[
"Turok",
"Neil",
""
]
] |
In the thin-wall approximation, the decay of a gravitating false vacuum to a lower-energy state is affected by the cosmological horizon structure in both spaces. The nucleation radius of a bubble of true vacuum depends on the surface tension of its boundary and equals the false vacuum cosmological horizon at a critical tension. We argue that there is no tunneling instanton solution beyond the critical tension and argue that there is therefore a bound on allowed membrane tension in theories which rely on semiclassical tunneling to relax the cosmological constant.
| 15.883456 | 12.034078 | 12.94749 | 11.711118 | 12.84943 | 12.934219 | 11.762523 | 12.760712 | 11.281147 | 12.709123 | 11.683241 | 11.970012 | 12.025092 | 11.490683 | 12.141806 | 11.372039 | 11.157088 | 11.002589 | 11.789481 | 11.799841 | 11.767161 |
1008.1805
|
Robert Bluhm
|
Robert Bluhm
|
Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Massive Modes
|
5 pages. Presented at the Fifth Meeting on CPT and Lorentz Symmetry,
Bloomington, Indiana, June 28-July 2, 2010
| null |
10.1142/9789814327688_0025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In any theory with spontaneous symmetry breaking, it is important to account
for the massless Nambu-Goldstone and massive Higgs modes. In this short review,
the fate of these modes is examined for the case of a bumblebee model, in which
Lorentz symmetry is spontaneously broken.
|
[
{
"created": "Tue, 10 Aug 2010 21:01:31 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Bluhm",
"Robert",
""
]
] |
In any theory with spontaneous symmetry breaking, it is important to account for the massless Nambu-Goldstone and massive Higgs modes. In this short review, the fate of these modes is examined for the case of a bumblebee model, in which Lorentz symmetry is spontaneously broken.
| 6.906694 | 5.536581 | 5.076179 | 5.222174 | 5.585826 | 5.741623 | 5.887395 | 5.055964 | 5.33323 | 5.011707 | 5.388268 | 5.662733 | 5.53088 | 5.414388 | 5.441051 | 5.521077 | 5.500206 | 5.411866 | 5.699389 | 5.504067 | 5.643223 |
0807.1256
|
James T. Liu
|
James T. Liu and Wafic A. Sabra
|
Hamilton-Jacobi Counterterms for Einstein-Gauss-Bonnet Gravity
|
21 pages, LaTeX
|
Class.Quant.Grav.27:175014,2010
|
10.1088/0264-9381/27/17/175014
|
MCTP-08-53
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The on-shell gravitational action and the boundary stress tensor are
essential ingredients in the study of black hole thermodynamics. We employ the
Hamilton-Jacobi method to calculate the boundary counterterms necessary to
remove the divergences and allow the study of the thermodynamics of
Einstein-Gauss-Bonnet black holes.
|
[
{
"created": "Tue, 8 Jul 2008 14:40:51 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Liu",
"James T.",
""
],
[
"Sabra",
"Wafic A.",
""
]
] |
The on-shell gravitational action and the boundary stress tensor are essential ingredients in the study of black hole thermodynamics. We employ the Hamilton-Jacobi method to calculate the boundary counterterms necessary to remove the divergences and allow the study of the thermodynamics of Einstein-Gauss-Bonnet black holes.
| 8.422604 | 6.461915 | 6.913476 | 6.71336 | 6.859842 | 7.088465 | 6.96222 | 6.725101 | 6.867323 | 7.129533 | 7.305304 | 7.264191 | 7.300101 | 6.890596 | 7.041322 | 7.152581 | 7.07923 | 7.298389 | 7.403625 | 7.241726 | 7.545658 |
hep-th/0403167
|
Cumrun Vafa
|
N. Nekrasov, H. Ooguri and C. Vafa
|
S-duality and Topological Strings
|
13 pages
|
JHEP 0410:009,2004
|
10.1088/1126-6708/2004/10/009
| null |
hep-th
| null |
In this paper we show how S-duality of type IIB superstrings leads to an
S-duality relating A and B model topological strings on the same Calabi-Yau as
had been conjectured recently: D-instantons of the B-model correspond to
A-model perturbative amplitudes and D-instantons of the A-model capture
perturbative B-model amplitudes.
Moreover this confirms the existence of new branes in the two models.
As an application we explain the recent results concerning A-model
topological strings on Calabi-Yau and its equivalence to the statistical
mechanical model of melting crystal.
|
[
{
"created": "Tue, 16 Mar 2004 19:27:17 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Nekrasov",
"N.",
""
],
[
"Ooguri",
"H.",
""
],
[
"Vafa",
"C.",
""
]
] |
In this paper we show how S-duality of type IIB superstrings leads to an S-duality relating A and B model topological strings on the same Calabi-Yau as had been conjectured recently: D-instantons of the B-model correspond to A-model perturbative amplitudes and D-instantons of the A-model capture perturbative B-model amplitudes. Moreover this confirms the existence of new branes in the two models. As an application we explain the recent results concerning A-model topological strings on Calabi-Yau and its equivalence to the statistical mechanical model of melting crystal.
| 8.644707 | 7.884062 | 10.213611 | 7.671177 | 8.577369 | 8.816492 | 8.042429 | 8.498924 | 8.151957 | 9.486098 | 7.851851 | 7.768265 | 8.634119 | 7.952066 | 8.175531 | 8.291485 | 7.685425 | 7.937897 | 7.839079 | 8.608245 | 7.855098 |
1010.5531
|
Jorge Bellor\'in
|
Jorge Bellor\'in and Alvaro Restuccia
|
Closure of the algebra of constraints for a nonprojectable Ho\v{r}ava
model
|
Some comments added in conclusions and abstract. Version published in
Phys. Rev. D. 15 pages, 1 figure
|
Phys.Rev.D83:044003,2011
|
10.1103/PhysRevD.83.044003
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform the Hamiltonian analysis for a nonprojectable Horava model whose
potential is composed of R and R^2 terms. We show that Dirac's algorithm for
the preservation of the constraints can be done in a closed way, hence the
algebra of constraints for this model is consistent. The model has an extra,
odd, scalar mode whose decoupling limit can be seen in a linear-order
perturbative analysis on weakly varying backgrounds.
Although our results for this model point in favor of the consistency of the
Ho\v{r}ava theory, the validity of the full nonprojectable theory still remains
unanswered.
|
[
{
"created": "Tue, 26 Oct 2010 22:24:42 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2010 19:45:26 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Feb 2011 20:51:31 GMT",
"version": "v3"
}
] |
2011-02-15
|
[
[
"Bellorín",
"Jorge",
""
],
[
"Restuccia",
"Alvaro",
""
]
] |
We perform the Hamiltonian analysis for a nonprojectable Horava model whose potential is composed of R and R^2 terms. We show that Dirac's algorithm for the preservation of the constraints can be done in a closed way, hence the algebra of constraints for this model is consistent. The model has an extra, odd, scalar mode whose decoupling limit can be seen in a linear-order perturbative analysis on weakly varying backgrounds. Although our results for this model point in favor of the consistency of the Ho\v{r}ava theory, the validity of the full nonprojectable theory still remains unanswered.
| 12.913956 | 11.842454 | 12.166791 | 11.176915 | 12.82393 | 14.018102 | 11.926615 | 11.945343 | 12.174054 | 11.587817 | 12.259683 | 12.073081 | 11.881295 | 11.699104 | 12.21575 | 12.060186 | 12.036459 | 11.5602 | 12.302311 | 12.376199 | 12.111101 |
hep-th/0108155
|
Vladimir I. Inozemtsev
|
V. I. Inozemtsev and R. Sasaki
|
On the Integrability of Classical Ruijsenaars-Schneider Model of
$BC_{2}$ Type
|
10 pages, LaTeX2e, no figures
|
Mod.Phys.Lett. A16 (2001) 1941-1950
|
10.1142/S0217732301005382
|
YITP-01-55
|
hep-th
| null |
The problem of finding most general form of the classical integrable
relativistic models of many-body interaction of the $BC_{n}$ type is
considered. In the simplest nontrivial case of $n=2$,the extra integral of
motion is presented in explicit form within the ansatz similar to the
nonrelativistic Calogero-Moser models. The resulting Hamiltonian has been found
by solving the set of two functional equations.
|
[
{
"created": "Wed, 22 Aug 2001 05:39:09 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Inozemtsev",
"V. I.",
""
],
[
"Sasaki",
"R.",
""
]
] |
The problem of finding most general form of the classical integrable relativistic models of many-body interaction of the $BC_{n}$ type is considered. In the simplest nontrivial case of $n=2$,the extra integral of motion is presented in explicit form within the ansatz similar to the nonrelativistic Calogero-Moser models. The resulting Hamiltonian has been found by solving the set of two functional equations.
| 12.825655 | 10.581299 | 14.929923 | 11.967018 | 11.977317 | 11.493115 | 11.773681 | 12.85554 | 11.447352 | 14.6376 | 11.185928 | 11.521857 | 13.120807 | 11.489511 | 11.189869 | 11.484802 | 11.020905 | 11.849666 | 11.339182 | 12.53242 | 11.113292 |
hep-th/0205110
|
Yu Tian
|
Yu Tian, Chuan-Jie Zhu
|
Instantons on General Noncommutative R^4
|
14 pages, LaTeX; deleted some confusing statements in the U(1)
1-instanton case, added refs
|
Commun.Theor.Phys. 38 (2002) 691-697
|
10.1088/0253-6102/38/6/691
| null |
hep-th
| null |
We study the U(1) and U(2) instanton solutions of gauge theory on general
noncommutative $\bf{R}^4$. In all cases considered we obtain explicit results
for the projection operators. In some cases we computed numerically the
instanton charge and found that it is an integer, independent of the
noncommutative parameters $\theta_{1,2}$.
|
[
{
"created": "Mon, 13 May 2002 08:03:53 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2002 08:06:10 GMT",
"version": "v2"
}
] |
2018-01-17
|
[
[
"Tian",
"Yu",
""
],
[
"Zhu",
"Chuan-Jie",
""
]
] |
We study the U(1) and U(2) instanton solutions of gauge theory on general noncommutative $\bf{R}^4$. In all cases considered we obtain explicit results for the projection operators. In some cases we computed numerically the instanton charge and found that it is an integer, independent of the noncommutative parameters $\theta_{1,2}$.
| 9.673642 | 7.806304 | 9.265843 | 8.44187 | 8.760954 | 7.552206 | 8.084806 | 8.275725 | 7.971945 | 10.511445 | 8.495652 | 8.444012 | 9.09832 | 8.291471 | 8.680724 | 8.459533 | 8.710711 | 8.218434 | 8.567528 | 9.049944 | 8.380663 |
hep-th/9308082
|
Grosche Christian
|
Christian Grosche
|
Path Integral Discussion of Two and- Three-Dimensional $\delta$-Function
Perturbations
|
32 pages, AmSTeX
| null |
10.1002/andp.19945060406
|
SISSA/119/93/FM
|
hep-th
| null |
The incorporation of two- and three-dimensional $\delta$-function
perturbations into the path-integral formalism is discussed. In contrast to the
one-dimensional case, a regularization procedure is needed due to the
divergence of the Green-function $G^{(V)}(\vec x,\vec y;E)$, ($\vec x,\vec
y\in\bbbr^2,\bbbr^3$) for $\vec x=\vec y$, corresponding to a potential problem
$V(\vec x)$. The known procedure to define proper self-adjoint extensions for
Hamiltonians with deficiency indices can be used to regularize the path
integral, giving a perturbative approach for $\delta$-function perturbations in
two and three dimensions in the context of path integrals. Several examples
illustrate the formalism.
|
[
{
"created": "Tue, 17 Aug 1993 15:35:30 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Grosche",
"Christian",
""
]
] |
The incorporation of two- and three-dimensional $\delta$-function perturbations into the path-integral formalism is discussed. In contrast to the one-dimensional case, a regularization procedure is needed due to the divergence of the Green-function $G^{(V)}(\vec x,\vec y;E)$, ($\vec x,\vec y\in\bbbr^2,\bbbr^3$) for $\vec x=\vec y$, corresponding to a potential problem $V(\vec x)$. The known procedure to define proper self-adjoint extensions for Hamiltonians with deficiency indices can be used to regularize the path integral, giving a perturbative approach for $\delta$-function perturbations in two and three dimensions in the context of path integrals. Several examples illustrate the formalism.
| 6.991319 | 7.444716 | 6.839558 | 6.884261 | 6.754315 | 6.629292 | 7.591388 | 6.468852 | 6.391719 | 7.11119 | 6.61026 | 6.438072 | 6.710893 | 6.461567 | 6.638316 | 6.576014 | 6.580697 | 6.383119 | 6.484247 | 6.377985 | 6.502508 |
1908.04801
|
David Pere\~n\'iguez Mr
|
David Pere\~niguez
|
p-brane Newton--Cartan Geometry
|
References added
| null |
10.1063/1.5126184
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a formal definition of p-brane Newton--Cartan (pNC) geometry and
establish some foundational results. Our approach is the same followed in the
literature for foundations of Newton--Cartan Gravity. Our results provide
control of aspects of pNC geometry that are otherwise unclear when using the
usual gauge language of non-relativistic theories of gravity. In particular, we
obtain a set of necessary and sufficient conditions that a pNC structure must
satisfy in order to admit torsion-free, compatible affine connections, and
determine the space formed by the latter. Since pNC structures interpolate
between Leibnizian structures for p=0 and Lorentzian structures for p=d-1 (with
d the dimension of the spacetime manifold), the present work also constitutes a
generalisation of results of Newton--Cartan and (pseudo-) Riemannian geometry.
|
[
{
"created": "Tue, 13 Aug 2019 18:01:34 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Aug 2019 21:49:30 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Pereñiguez",
"David",
""
]
] |
We provide a formal definition of p-brane Newton--Cartan (pNC) geometry and establish some foundational results. Our approach is the same followed in the literature for foundations of Newton--Cartan Gravity. Our results provide control of aspects of pNC geometry that are otherwise unclear when using the usual gauge language of non-relativistic theories of gravity. In particular, we obtain a set of necessary and sufficient conditions that a pNC structure must satisfy in order to admit torsion-free, compatible affine connections, and determine the space formed by the latter. Since pNC structures interpolate between Leibnizian structures for p=0 and Lorentzian structures for p=d-1 (with d the dimension of the spacetime manifold), the present work also constitutes a generalisation of results of Newton--Cartan and (pseudo-) Riemannian geometry.
| 9.377847 | 9.80131 | 9.874252 | 9.383373 | 9.036636 | 9.336263 | 9.605184 | 8.768875 | 9.341012 | 10.39653 | 8.969659 | 9.33182 | 8.97658 | 8.844249 | 8.91465 | 8.873341 | 9.331614 | 9.028274 | 8.624322 | 9.356802 | 9.042311 |
1306.1487
|
Hossein Ghorbani
|
Hossein Ghorbani
|
Gauge-Stringy Instantons in N=2 U(N) Gauge Theories
|
4 references added, A paragraph added in Conclusions, To appear in
JHEP
| null |
10.1007/JHEP12(2013)041
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using D3/D(-1) brane set-up in type IIB string theory we introduce
gauge-stringy instantons in N=2 U(N) supersymmetry theories with one matter
multiplet in symmetric representation. In addition to the gauge and stringy
moduli there exist extra zero modes that we refer to as "gauge-stringy" moduli.
We show that the measure of the moduli space in this model becomes
dimensionless for arbitary N when the gauge instanton charge k_g is equal to
the stringy instanton charge k_s. This property of gauge-stringy instantons
leads to having equal contributions from all instanton charges k_s=k_g=k in the
effective action. We derive the gauge-stringy instanton partition function and
calculate the corrections to the prepotential due to k=1,2 gauge-stringy
instanton charges. As a by-product the partition function for gauge k-instanton
is obtained which coincides with the result from the standard ADHM
construction.
|
[
{
"created": "Thu, 6 Jun 2013 17:45:32 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Dec 2013 09:12:03 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Ghorbani",
"Hossein",
""
]
] |
Using D3/D(-1) brane set-up in type IIB string theory we introduce gauge-stringy instantons in N=2 U(N) supersymmetry theories with one matter multiplet in symmetric representation. In addition to the gauge and stringy moduli there exist extra zero modes that we refer to as "gauge-stringy" moduli. We show that the measure of the moduli space in this model becomes dimensionless for arbitary N when the gauge instanton charge k_g is equal to the stringy instanton charge k_s. This property of gauge-stringy instantons leads to having equal contributions from all instanton charges k_s=k_g=k in the effective action. We derive the gauge-stringy instanton partition function and calculate the corrections to the prepotential due to k=1,2 gauge-stringy instanton charges. As a by-product the partition function for gauge k-instanton is obtained which coincides with the result from the standard ADHM construction.
| 9.739883 | 8.861897 | 9.661718 | 8.337165 | 8.381586 | 8.59421 | 8.509242 | 8.309744 | 7.907423 | 9.689669 | 7.766593 | 8.177867 | 8.308742 | 7.921683 | 8.420403 | 8.037935 | 8.173051 | 8.089762 | 8.159904 | 8.43613 | 8.061058 |
1508.07331
|
Lorenzo Bianchi
|
Lorenzo Bianchi and Marco S. Bianchi
|
Worldsheet scattering for the GKP string
|
33 pages, 13 figures
| null |
10.1007/JHEP11(2015)178
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We initiate the perturbative study of the S-matrix for the excitations on top
of the GKP vacuum at strong coupling. Using the string sigma model action
expanded around the null cusp classical solution, we compute the tree-level
S-matrix elements and compare them with the predictions from the asymptotic
Bethe Ansatz. We also check the factorization of the three-body S-matrix for
various bosonic processes, finding precise agreement with the constraints
imposed by integrability.
|
[
{
"created": "Fri, 28 Aug 2015 20:06:47 GMT",
"version": "v1"
}
] |
2016-01-27
|
[
[
"Bianchi",
"Lorenzo",
""
],
[
"Bianchi",
"Marco S.",
""
]
] |
We initiate the perturbative study of the S-matrix for the excitations on top of the GKP vacuum at strong coupling. Using the string sigma model action expanded around the null cusp classical solution, we compute the tree-level S-matrix elements and compare them with the predictions from the asymptotic Bethe Ansatz. We also check the factorization of the three-body S-matrix for various bosonic processes, finding precise agreement with the constraints imposed by integrability.
| 7.903275 | 6.350957 | 8.696339 | 7.111464 | 6.675116 | 6.691873 | 6.791571 | 6.891743 | 6.465987 | 9.565157 | 6.473678 | 7.72969 | 8.07638 | 7.495052 | 7.565331 | 7.153862 | 7.376664 | 7.659919 | 7.445261 | 8.19965 | 7.439845 |
1109.3515
|
Rachel A Rosen
|
S. F. Hassan and Rachel A. Rosen
|
Bimetric Gravity from Ghost-free Massive Gravity
|
results extended, version accepted for publication
| null |
10.1007/JHEP02(2012)126
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Generically, non-linear bimetric theories of gravity suffer from the same
Boulware-Deser ghost instability as non-linear theories of massive gravity.
However, recently proposed theories of massive gravity have been shown to be
ghost-free. These theories are formulated with respect to a flat, non-dynamical
reference metric. In this work we show that it is possible to give dynamics to
the reference metric in such a way that the consistency of the theory is
maintained. The result is a non-linear bimetric theory of a massless spin-2
field interacting with a massive spin-2 field that is free of the
Boulware-Deser ghost. To our knowledge, this is the first construction of such
a ghost-free bimetric theory.
|
[
{
"created": "Fri, 16 Sep 2011 01:51:46 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Apr 2012 16:17:42 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Hassan",
"S. F.",
""
],
[
"Rosen",
"Rachel A.",
""
]
] |
Generically, non-linear bimetric theories of gravity suffer from the same Boulware-Deser ghost instability as non-linear theories of massive gravity. However, recently proposed theories of massive gravity have been shown to be ghost-free. These theories are formulated with respect to a flat, non-dynamical reference metric. In this work we show that it is possible to give dynamics to the reference metric in such a way that the consistency of the theory is maintained. The result is a non-linear bimetric theory of a massless spin-2 field interacting with a massive spin-2 field that is free of the Boulware-Deser ghost. To our knowledge, this is the first construction of such a ghost-free bimetric theory.
| 3.880423 | 3.951732 | 3.824974 | 3.472677 | 3.902647 | 3.483089 | 3.818767 | 3.874375 | 3.859029 | 4.018908 | 3.69416 | 3.631101 | 3.774711 | 3.72775 | 3.625208 | 3.687641 | 3.791494 | 3.612761 | 3.721332 | 3.754702 | 3.690805 |
hep-th/9706202
| null |
N.P.Chitaia, S.A.Gogilidze and Yu.S.Surovtsev
|
The Ostrogradsky Method for Local Symmetries. Constrained Theories with
Higher Derivatives
|
8 pages, LaTex; Talk given at the II International Workshop
``Classical and Quantum Integrable Systems'', Dubna, July 8-12, 1996; the
essentially reduced version of the talk is published in Intern. J. Mod. Phys.
A12, (1997)}
|
Int.J.Mod.Phys. A12 (1997) 143-146
|
10.1142/S0217751X97000189
| null |
hep-th
| null |
In the generalized Hamiltonian formalism by Dirac, the method of constructing
the generator of local-symmetry transformations for systems with first- and
second-class constraints (without restrictions on the algebra of constraints)
is obtained from the requirement for them to map the solutions of the
Hamiltonian equations of motion into the solutions of the same equations. It is
proved that second-class constraints do not contribute to the transformation
law of the local symmetry entirely stipulated by all the first-class
constraints (and only by them). A mechanism of occurrence of higher derivatives
of coordinates and group parameters in the symmetry transformation law in the
Noether second theorem is elucidated. It is shown that the obtained
transformations of symmetry are canonical in the extended (by Ostrogradsky)
phase space. An application of the method in theories with higher derivatives
is demonstrated with an example of the spinor Christ -- Lee model.
|
[
{
"created": "Fri, 27 Jun 1997 17:20:25 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Chitaia",
"N. P.",
""
],
[
"Gogilidze",
"S. A.",
""
],
[
"Surovtsev",
"Yu. S.",
""
]
] |
In the generalized Hamiltonian formalism by Dirac, the method of constructing the generator of local-symmetry transformations for systems with first- and second-class constraints (without restrictions on the algebra of constraints) is obtained from the requirement for them to map the solutions of the Hamiltonian equations of motion into the solutions of the same equations. It is proved that second-class constraints do not contribute to the transformation law of the local symmetry entirely stipulated by all the first-class constraints (and only by them). A mechanism of occurrence of higher derivatives of coordinates and group parameters in the symmetry transformation law in the Noether second theorem is elucidated. It is shown that the obtained transformations of symmetry are canonical in the extended (by Ostrogradsky) phase space. An application of the method in theories with higher derivatives is demonstrated with an example of the spinor Christ -- Lee model.
| 10.705559 | 9.063402 | 10.657876 | 9.872178 | 9.990578 | 8.878411 | 10.38598 | 9.620638 | 9.811637 | 12.550547 | 9.205797 | 9.85058 | 10.724483 | 9.834237 | 9.942635 | 9.890625 | 10.164406 | 9.750253 | 10.246728 | 10.908326 | 9.895889 |
hep-th/0502200
|
Neil D. Lambert
|
Neil Lambert
|
Flux and Freund-Rubin Superpotentials in M-theory
|
Discussion of KK-scale and cosmological scales revised
|
Phys.Rev.D71:126001,2005
|
10.1103/PhysRevD.71.126001
| null |
hep-th
| null |
We discuss the effective action for weak G_2 compactifications of M-theory.
The presence of fluxes acts as a source for the the axions and drives the
Freund-Rubin parameter to zero. The result is a stable non-supersymmetric
vacuum with a negative cosmological constant. We also give the superpotential
which generates the effective potential and discuss a simple model which aims
to incorporate the effects of supersymmetry breaking by the gauge sector.
|
[
{
"created": "Tue, 22 Feb 2005 20:08:37 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Mar 2005 22:07:55 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Apr 2005 02:40:54 GMT",
"version": "v3"
}
] |
2010-12-03
|
[
[
"Lambert",
"Neil",
""
]
] |
We discuss the effective action for weak G_2 compactifications of M-theory. The presence of fluxes acts as a source for the the axions and drives the Freund-Rubin parameter to zero. The result is a stable non-supersymmetric vacuum with a negative cosmological constant. We also give the superpotential which generates the effective potential and discuss a simple model which aims to incorporate the effects of supersymmetry breaking by the gauge sector.
| 10.432527 | 10.428473 | 10.63658 | 9.466645 | 10.811774 | 9.600007 | 10.598655 | 9.848627 | 9.235903 | 12.087265 | 9.89145 | 10.290389 | 10.710639 | 10.100512 | 10.029953 | 10.270676 | 10.287676 | 9.786414 | 10.307467 | 10.668503 | 9.751349 |
2401.10165
|
Francesco Benini
|
Andrea Antinucci, Francesco Benini
|
Anomalies and gauging of U(1) symmetries
|
Two columns, 12 pages. v2: refs added, more clear exposition
| null | null |
SISSA 01/2024/FISI
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We propose the Symmetry TFT for theories with a $U(1)$ symmetry in arbitrary
dimension. The Symmetry TFT describes the structure of the symmetry, its
anomalies, and the possible topological manipulations. It is constructed as a
BF theory of gauge fields for groups $U(1)$ and $\mathbb{R}$, and contains a
continuum of topological operators. We also propose an operation that produces
the Symmetry TFT for the theory obtained by dynamically gauging the $U(1)$
symmetry. We discuss many examples. As an interesting outcome, we obtain the
Symmetry TFT for the non-invertible $\mathbb{Q}/\mathbb{Z}$ chiral symmetry in
four dimensions.
|
[
{
"created": "Thu, 18 Jan 2024 17:49:32 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jan 2024 15:43:09 GMT",
"version": "v2"
}
] |
2024-01-30
|
[
[
"Antinucci",
"Andrea",
""
],
[
"Benini",
"Francesco",
""
]
] |
We propose the Symmetry TFT for theories with a $U(1)$ symmetry in arbitrary dimension. The Symmetry TFT describes the structure of the symmetry, its anomalies, and the possible topological manipulations. It is constructed as a BF theory of gauge fields for groups $U(1)$ and $\mathbb{R}$, and contains a continuum of topological operators. We also propose an operation that produces the Symmetry TFT for the theory obtained by dynamically gauging the $U(1)$ symmetry. We discuss many examples. As an interesting outcome, we obtain the Symmetry TFT for the non-invertible $\mathbb{Q}/\mathbb{Z}$ chiral symmetry in four dimensions.
| 8.436757 | 6.668964 | 9.308555 | 7.289445 | 7.051004 | 7.218828 | 7.142449 | 7.042224 | 7.061013 | 9.30836 | 7.143919 | 7.71424 | 8.597727 | 7.853341 | 7.964543 | 7.838464 | 7.936794 | 7.936137 | 7.79432 | 8.180652 | 8.020137 |
2210.04586
|
Mostafa Khalil Mr
|
M. N. Khalil, A. M. Khalaf, A. S. Bakry, M. Deliyergiyev, A. A. Galal,
M. Kotb, M. D. Okasha, and G. S. M. Ahmed
|
Intermediate-Distance String Effects in Wilson Loops\\ via Boundary
Action
|
10 pages, 3 Figures, 15-Tables
|
LHEP-431 2023
|
10.31526/LHEP.2023.431
| null |
hep-th hep-lat hep-ph nucl-th
|
http://creativecommons.org/licenses/by/4.0/
|
The density profile of the QCD flux tube is investigated within the framework
of the L\"uscher-Weisz (LW) string action with two boundary terms. The
transverse action profile and potential between static quarks are considered
using Wilson's loop overlap formalism at zero temperature in SU(2) Yang-Mills
theory. We find the predictions of the LW string matching the lattice data for
the width of the energy-density and $Q\bar{Q}$ potential up to a small
color-source separation of $R=0.32$\,fm.
|
[
{
"created": "Mon, 10 Oct 2022 11:43:27 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Oct 2022 01:47:53 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Mar 2023 17:58:19 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Mar 2023 18:02:47 GMT",
"version": "v4"
},
{
"created": "Wed, 2 Aug 2023 19:07:11 GMT",
"version": "v5"
}
] |
2023-08-04
|
[
[
"Khalil",
"M. N.",
""
],
[
"Khalaf",
"A. M.",
""
],
[
"Bakry",
"A. S.",
""
],
[
"Deliyergiyev",
"M.",
""
],
[
"Galal",
"A. A.",
""
],
[
"Kotb",
"M.",
""
],
[
"Okasha",
"M. D.",
""
],
[
"Ahmed",
"G. S. M.",
""
]
] |
The density profile of the QCD flux tube is investigated within the framework of the L\"uscher-Weisz (LW) string action with two boundary terms. The transverse action profile and potential between static quarks are considered using Wilson's loop overlap formalism at zero temperature in SU(2) Yang-Mills theory. We find the predictions of the LW string matching the lattice data for the width of the energy-density and $Q\bar{Q}$ potential up to a small color-source separation of $R=0.32$\,fm.
| 11.30349 | 12.29377 | 13.229459 | 11.827708 | 12.118253 | 14.51428 | 12.347955 | 12.90776 | 12.383516 | 12.783738 | 11.685441 | 11.600998 | 11.06157 | 11.26857 | 11.46389 | 11.452582 | 11.529326 | 11.516868 | 11.352483 | 11.621365 | 10.806409 |
hep-th/9902194
|
Ioannis Giannakis
|
Ioannis Giannakis
|
Superconformal Deformations and Space-Time Symmetries
|
7 pages, plain Tex, to appear in: Proc. Int. Conf. "Trends in
Mathematical Physics", Knoxville, Oct. 14-17 1998, (Cambridge: International
Press (1999))
| null | null |
NYU-TH/99-02-01
|
hep-th
| null |
In this paper we present a method of deforming to first order the
stress-tensor and the supercurrent of the superstring corresponding to turning
on NS-NS bosonic fields. Furthermore we discuss the difficulties associated
with turning on spacetime fermions and R-R bosons. We also derive the gauge
symmetries of the massless spacetime fields.
|
[
{
"created": "Thu, 25 Feb 1999 22:51:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Giannakis",
"Ioannis",
""
]
] |
In this paper we present a method of deforming to first order the stress-tensor and the supercurrent of the superstring corresponding to turning on NS-NS bosonic fields. Furthermore we discuss the difficulties associated with turning on spacetime fermions and R-R bosons. We also derive the gauge symmetries of the massless spacetime fields.
| 14.132354 | 11.83464 | 16.069897 | 12.003219 | 13.162895 | 12.543438 | 12.413736 | 12.833861 | 12.349632 | 15.233343 | 11.678095 | 11.352433 | 13.676203 | 12.417351 | 11.866179 | 11.603908 | 11.048144 | 11.952927 | 11.917712 | 13.338383 | 12.118967 |
0812.1490
|
Pulak Ranjan Giri
|
Pulak Ranjan Giri
|
Non-commutativity as a measure of inequivalent quantization
|
4 pages, 2 figures, revtex
|
J.Phys.A42:355206,2009
|
10.1088/1751-8113/42/35/355206
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the strength of non-commutativity could play a role in
determining the boundary condition of a physical problem. As a toy model we
consider the inverse square problem in non-commutative space. The scale
invariance of the system is known to be explicitly broken by the scale of
non-commutativity \Theta. The resulting problem in non-commutative space is
analyzed. It is shown that despite the presence of higher singular potential
coming from the leading term of the expansion of the potential to first order
in \Theta, it can have a self-adjoint extensions. The boundary conditions are
obtained, belong to a 1-parameter family and related to the strength of
non-commutativity.
|
[
{
"created": "Mon, 8 Dec 2008 13:49:59 GMT",
"version": "v1"
}
] |
2009-08-17
|
[
[
"Giri",
"Pulak Ranjan",
""
]
] |
We show that the strength of non-commutativity could play a role in determining the boundary condition of a physical problem. As a toy model we consider the inverse square problem in non-commutative space. The scale invariance of the system is known to be explicitly broken by the scale of non-commutativity \Theta. The resulting problem in non-commutative space is analyzed. It is shown that despite the presence of higher singular potential coming from the leading term of the expansion of the potential to first order in \Theta, it can have a self-adjoint extensions. The boundary conditions are obtained, belong to a 1-parameter family and related to the strength of non-commutativity.
| 9.770692 | 9.520844 | 9.563553 | 9.184298 | 9.546231 | 10.202251 | 9.037539 | 9.314723 | 9.431679 | 10.176867 | 9.129783 | 9.825708 | 9.85402 | 9.858816 | 9.421154 | 9.488333 | 9.699097 | 9.619701 | 9.539848 | 9.843319 | 9.396286 |
1005.0475
|
Christopher Eling
|
Goffredo Chirco, Christopher Eling, Stefano Liberati
|
The universal viscosity to entropy density ratio from entanglement
|
30 pages; v2: footnote added, minor editing
|
Phys.Rev.D82:024010,2010
|
10.1103/PhysRevD.82.024010
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present evidence that the universal Kovtun-Son-Starinets shear viscosity
to entropy density ratio of 1/4\pi can be associated with a Rindler causal
horizon in flat spacetime. Since there is no known holographic (gauge/gravity)
duality for this spacetime, a natural microscopic explanation for this
viscosity is in the peculiar properties of quantum entanglement. In particular,
it is well-known that the Minkowski vacuum state is a thermal state and carries
an area entanglement entropy density in the Rindler spacetime. Based on the
fluctuation-dissipation theorem, we expect a similar notion of viscosity
arising from vacuum fluctuations. Therefore, we propose a holographic Kubo
formula in terms of a two-point function of the stress tensor of matter fields
in the bulk. We calculate this viscosity assuming a minimally coupled scalar
field theory and find that the ratio with respect to the entanglement entropy
density is exactly 1/4\pi in four dimensions. The issues that arise in
extending this result to non-minimally coupled scalar fields, higher spins, and
higher dimensions provide interesting hints about the relationship between
entanglement entropy and black hole entropy.
|
[
{
"created": "Tue, 4 May 2010 09:52:57 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Jul 2010 18:36:51 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Chirco",
"Goffredo",
""
],
[
"Eling",
"Christopher",
""
],
[
"Liberati",
"Stefano",
""
]
] |
We present evidence that the universal Kovtun-Son-Starinets shear viscosity to entropy density ratio of 1/4\pi can be associated with a Rindler causal horizon in flat spacetime. Since there is no known holographic (gauge/gravity) duality for this spacetime, a natural microscopic explanation for this viscosity is in the peculiar properties of quantum entanglement. In particular, it is well-known that the Minkowski vacuum state is a thermal state and carries an area entanglement entropy density in the Rindler spacetime. Based on the fluctuation-dissipation theorem, we expect a similar notion of viscosity arising from vacuum fluctuations. Therefore, we propose a holographic Kubo formula in terms of a two-point function of the stress tensor of matter fields in the bulk. We calculate this viscosity assuming a minimally coupled scalar field theory and find that the ratio with respect to the entanglement entropy density is exactly 1/4\pi in four dimensions. The issues that arise in extending this result to non-minimally coupled scalar fields, higher spins, and higher dimensions provide interesting hints about the relationship between entanglement entropy and black hole entropy.
| 7.766153 | 7.845623 | 8.159562 | 7.978643 | 9.326294 | 8.09024 | 8.339921 | 7.758415 | 7.641467 | 8.902205 | 7.540173 | 7.872861 | 7.998738 | 7.585382 | 7.969297 | 7.624519 | 7.719224 | 7.619253 | 7.507883 | 7.893238 | 7.611246 |
2305.18296
|
Sakura Schafer-Nameki
|
Sakura Schafer-Nameki
|
ICTP Lectures on (Non-)Invertible Generalized Symmetries
|
89 pages + bibliography, v2: typos fixed and refs added
| null | null | null |
hep-th cond-mat.str-el hep-ph math.CT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
What comprises a global symmetry of a Quantum Field Theory (QFT) has been
vastly expanded in the past 10 years to include not only symmetries acting on
higher-dimensional defects, but also most recently symmetries which do not have
an inverse. The principle that enables this generalization is the
identification of symmetries with topological defects in the QFT. In these
lectures, we provide an introduction to generalized symmetries, with a focus on
non-invertible symmetries. We begin with a brief overview of invertible
generalized symmetries, including higher-form and higher-group symmetries, and
then move on to non-invertible symmetries. The main idea that underlies many
constructions of non-invertible symmetries is that of stacking a QFT with
topological QFTs (TQFTs) and then gauging a diagonal non-anomalous global
symmetry. The TQFTs become topological defects in the gauged theory called
(twisted) theta defects and comprise a large class of non-invertible symmetries
including condensation defects, self-duality defects, and non-invertible
symmetries of gauge theories with disconnected gauge groups. We will explain
the general principle and provide numerous concrete examples. Following this
extensive characterization of symmetry generators, we then discuss their action
on higher-charges, i.e. extended physical operators. As we will explain, even
for invertible higher-form symmetries these are not only representations of the
$p$-form symmetry group, but more generally what are called
higher-representations. Finally, we give an introduction to the Symmetry
Topological Field Theory (SymTFT) and its utility in characterizing symmetries,
their gauging and generalized charges.
Lectures prepared for the ICTP Trieste Spring School, April 2023.
|
[
{
"created": "Mon, 29 May 2023 17:59:50 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2023 01:44:22 GMT",
"version": "v2"
}
] |
2023-06-08
|
[
[
"Schafer-Nameki",
"Sakura",
""
]
] |
What comprises a global symmetry of a Quantum Field Theory (QFT) has been vastly expanded in the past 10 years to include not only symmetries acting on higher-dimensional defects, but also most recently symmetries which do not have an inverse. The principle that enables this generalization is the identification of symmetries with topological defects in the QFT. In these lectures, we provide an introduction to generalized symmetries, with a focus on non-invertible symmetries. We begin with a brief overview of invertible generalized symmetries, including higher-form and higher-group symmetries, and then move on to non-invertible symmetries. The main idea that underlies many constructions of non-invertible symmetries is that of stacking a QFT with topological QFTs (TQFTs) and then gauging a diagonal non-anomalous global symmetry. The TQFTs become topological defects in the gauged theory called (twisted) theta defects and comprise a large class of non-invertible symmetries including condensation defects, self-duality defects, and non-invertible symmetries of gauge theories with disconnected gauge groups. We will explain the general principle and provide numerous concrete examples. Following this extensive characterization of symmetry generators, we then discuss their action on higher-charges, i.e. extended physical operators. As we will explain, even for invertible higher-form symmetries these are not only representations of the $p$-form symmetry group, but more generally what are called higher-representations. Finally, we give an introduction to the Symmetry Topological Field Theory (SymTFT) and its utility in characterizing symmetries, their gauging and generalized charges. Lectures prepared for the ICTP Trieste Spring School, April 2023.
| 7.594475 | 6.77073 | 8.024141 | 7.123728 | 7.04875 | 7.126258 | 7.399837 | 6.779675 | 6.968128 | 8.785194 | 6.859503 | 6.874228 | 7.233418 | 7.097824 | 6.788623 | 6.772631 | 6.729311 | 6.904102 | 6.879578 | 7.426562 | 6.862798 |
2309.15182
|
David Rivera Betancour
|
Andrea Campoleoni, Arnaud Delfante, Simon Pekar, P.Marios Petropoulos,
David Rivera-Betancour and Matthieu Vilatte
|
Flat from anti-de Sitter
|
1+47 pages
|
JHEP12(2023)078
|
10.1007/JHEP12(2023)078
|
CPHT-RR054.082023
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Ricci-flat solutions to Einstein's equations in four dimensions are obtained
as the flat limit of Einstein spacetimes with negative cosmological constant.
In the limiting process, the anti-de Sitter energy--momentum tensor is expanded
in Laurent series in powers of the cosmological constant, endowing the system
with the infinite number of boundary data, characteristic of the asymptotically
flat solution space. The governing flat Einstein dynamics is recovered as the
limit of the original energy--momentum conservation law and from the additional
requirement of the line-element finiteness, providing at each order the
necessary set of flux-balance equations for the boundary data. This analysis is
conducted using a covariant version of the Newman--Unti gauge designed for
taking advantage of the boundary Carrollian structure emerging at vanishing
cosmological constant and its Carrollian attributes such as the Cotton tensor.
|
[
{
"created": "Tue, 26 Sep 2023 18:38:07 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Dec 2023 10:48:33 GMT",
"version": "v2"
}
] |
2023-12-19
|
[
[
"Campoleoni",
"Andrea",
""
],
[
"Delfante",
"Arnaud",
""
],
[
"Pekar",
"Simon",
""
],
[
"Petropoulos",
"P. Marios",
""
],
[
"Rivera-Betancour",
"David",
""
],
[
"Vilatte",
"Matthieu",
""
]
] |
Ricci-flat solutions to Einstein's equations in four dimensions are obtained as the flat limit of Einstein spacetimes with negative cosmological constant. In the limiting process, the anti-de Sitter energy--momentum tensor is expanded in Laurent series in powers of the cosmological constant, endowing the system with the infinite number of boundary data, characteristic of the asymptotically flat solution space. The governing flat Einstein dynamics is recovered as the limit of the original energy--momentum conservation law and from the additional requirement of the line-element finiteness, providing at each order the necessary set of flux-balance equations for the boundary data. This analysis is conducted using a covariant version of the Newman--Unti gauge designed for taking advantage of the boundary Carrollian structure emerging at vanishing cosmological constant and its Carrollian attributes such as the Cotton tensor.
| 14.746714 | 13.771553 | 14.512197 | 13.284792 | 15.31477 | 14.062049 | 15.576625 | 14.533946 | 13.906554 | 16.676409 | 13.538296 | 13.540421 | 13.814712 | 13.361176 | 13.442186 | 13.509532 | 13.588604 | 13.053833 | 13.398368 | 13.284196 | 13.775268 |
1402.1024
|
Dmitri Kazakov
|
D.I.Kazakov
|
Evaluation of Multi-Box Diagrams in Six Dimensions
|
8 pages, 5 figures, PdfLatex
| null |
10.1007/JHEP04(2014)121
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a simple method which simplifies the evaluation of the on-shell
multiple box diagrams reducing them to triangle type ones. For the $L$-loop
diagram one gets the expression in terms of Feynman parameters with $2L$-fold
integration. As examples we consider the 2 and 3 loops cases, the numerical
integration up to six loops is also presented. The method is valid in six
dimensions where neither UV not IR divergences appear.
|
[
{
"created": "Wed, 5 Feb 2014 12:11:10 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Kazakov",
"D. I.",
""
]
] |
We present a simple method which simplifies the evaluation of the on-shell multiple box diagrams reducing them to triangle type ones. For the $L$-loop diagram one gets the expression in terms of Feynman parameters with $2L$-fold integration. As examples we consider the 2 and 3 loops cases, the numerical integration up to six loops is also presented. The method is valid in six dimensions where neither UV not IR divergences appear.
| 14.209946 | 15.063781 | 14.364394 | 12.185588 | 16.340595 | 15.48632 | 14.537026 | 13.785725 | 12.667267 | 15.350921 | 13.691988 | 12.566874 | 12.982057 | 13.362379 | 13.58312 | 13.530232 | 13.455359 | 13.414582 | 12.998652 | 13.239958 | 13.061301 |
hep-th/9906041
|
Bandos Igor
|
Igor Bandos, Wolfgang Kummer
|
Superstring 'ending' on super-D9-brane: a supersymmetric action
functional for the coupled brane system
|
44 pages, latex, no figures
|
Nucl.Phys. B565 (2000) 291-332
|
10.1016/S0550-3213(99)00530-1
|
TUW/99-11
|
hep-th
| null |
A supersymmetric action functional describing the interaction of the
fundamental superstring with the D=10, type IIB Dirichlet super-9-brane is
presented. A set of supersymmetric equations for the coupled system is obtained
from the action principle. It is found that the interaction of the string
endpoints with the super-D9-brane gauge field requires some restrictions for
the image of the gauge field strength. When those restrictions are not imposed,
the equations imply the absence of the endpoints, and the equations coincide
either with the ones of the free super-D9-brane or with the ones for the free
closed type IIB superstring. Different phases of the coupled system are
described. A generalization to an arbitrary system of intersecting branes is
discussed.
|
[
{
"created": "Fri, 4 Jun 1999 17:15:00 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bandos",
"Igor",
""
],
[
"Kummer",
"Wolfgang",
""
]
] |
A supersymmetric action functional describing the interaction of the fundamental superstring with the D=10, type IIB Dirichlet super-9-brane is presented. A set of supersymmetric equations for the coupled system is obtained from the action principle. It is found that the interaction of the string endpoints with the super-D9-brane gauge field requires some restrictions for the image of the gauge field strength. When those restrictions are not imposed, the equations imply the absence of the endpoints, and the equations coincide either with the ones of the free super-D9-brane or with the ones for the free closed type IIB superstring. Different phases of the coupled system are described. A generalization to an arbitrary system of intersecting branes is discussed.
| 9.607562 | 9.110847 | 11.358325 | 8.645717 | 8.787297 | 9.918138 | 9.500319 | 8.915759 | 8.825592 | 10.897553 | 8.588288 | 8.823971 | 10.288199 | 9.379116 | 9.722603 | 9.031129 | 8.828964 | 8.986497 | 8.918493 | 10.461065 | 9.102177 |
hep-th/0407057
|
Miyuki Nishikawa
|
Miyuki Nishikawa
|
Natural beauty of the standard model -A derivation of the electro-weak
unified and quantum-gravity theory without assuming a Higgs particle-
|
63 pages, 4 figures. PhD. thesis submitted to the university of
Tokyo. This thesis was, however, rejected by the judging committee, without
even mentioning sections 4-7. They forced the author to omit sections 3-7 at
all. Thus, only Section 2 was approved by the judging committee. Several
sections may oppose to her advisors' theories. v5 small changes
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the asymptotic behavior of a singular potential, and discuss the
self-consistency condition for the spherical symmetric Klein-Gordon equation.
In our view, gravity and the weak force are subsidiary, derived from
electricity. Particularly, $SU(2)_L\times U(1)$ unification is derived from the
$L^2$ normalizability condition, without assuming a phase transition. A
possible origin of the Higgs mechanism is proposed. Each particle pair of the
standard model is associated with the corresponding asymptotic expansion of an
eigen function.
Next we consider the meaning of internal and external degrees of freedom for
a 2 body problem, and find a complex U(1) phase of spins, which can not reduce
to the local motion of an external observer. These degrees of freedom are
inherent to the Poincar\'{e} group, and can be expressed in terms of asymmetric
spinor representations. We try to derive all gauge fields via this
nonintegrable complex U(1) phase. As a spin-off, supersymmetry is regarded as a
kind of Mach's principle for spinning frames-or the Ptolemaic (geocentric)
theory to confuse a rotating frame with an inertial frame.
Furthermore, we review classical experimental backgrounds for general
relativity, and discuss possible solutions for paradoxes in quantum gravity.
Taking angular momentums into account to improve above discussions, we can
explain the smallness of neutrino mass without assuming the see-saw mechanism.
A natural geometric interpretation of the quark flavor mixing angle is added in
the Conclusion.
|
[
{
"created": "Thu, 8 Jul 2004 13:13:23 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jul 2004 13:32:16 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Sep 2004 10:12:04 GMT",
"version": "v3"
},
{
"created": "Sun, 10 Oct 2004 13:31:59 GMT",
"version": "v4"
},
{
"created": "Wed, 28 Jan 2009 20:43:22 GMT",
"version": "v5"
}
] |
2009-01-28
|
[
[
"Nishikawa",
"Miyuki",
""
]
] |
We study the asymptotic behavior of a singular potential, and discuss the self-consistency condition for the spherical symmetric Klein-Gordon equation. In our view, gravity and the weak force are subsidiary, derived from electricity. Particularly, $SU(2)_L\times U(1)$ unification is derived from the $L^2$ normalizability condition, without assuming a phase transition. A possible origin of the Higgs mechanism is proposed. Each particle pair of the standard model is associated with the corresponding asymptotic expansion of an eigen function. Next we consider the meaning of internal and external degrees of freedom for a 2 body problem, and find a complex U(1) phase of spins, which can not reduce to the local motion of an external observer. These degrees of freedom are inherent to the Poincar\'{e} group, and can be expressed in terms of asymmetric spinor representations. We try to derive all gauge fields via this nonintegrable complex U(1) phase. As a spin-off, supersymmetry is regarded as a kind of Mach's principle for spinning frames-or the Ptolemaic (geocentric) theory to confuse a rotating frame with an inertial frame. Furthermore, we review classical experimental backgrounds for general relativity, and discuss possible solutions for paradoxes in quantum gravity. Taking angular momentums into account to improve above discussions, we can explain the smallness of neutrino mass without assuming the see-saw mechanism. A natural geometric interpretation of the quark flavor mixing angle is added in the Conclusion.
| 17.482265 | 17.809061 | 18.135443 | 17.620855 | 18.529697 | 18.357548 | 18.186504 | 17.572859 | 18.013344 | 18.682411 | 17.327065 | 17.468067 | 17.613203 | 17.321575 | 17.345322 | 17.263988 | 17.196909 | 17.296839 | 17.275085 | 17.451233 | 17.07682 |
hep-th/9412128
|
Yaroslav P. Pugai
|
Sergei Lukyanov, Yaroslav Pugai
|
Bosonization of ZF Algebras: Direction Toward Deformed Virasoro Algebra
|
60 pages, harvmac.tex, 6 Postscript figures
|
J.Exp.Theor.Phys. 82 (1996) 1021-1045; Zh.Eksp.Teor.Fiz. 109
(1996) 1900-1947
| null |
RU-94-41
|
hep-th
| null |
These lectures were prepared to be presented at A.A. Belavin seminar on CFT
at Landau Institute for Theoretical Physics. We review bosonization of CFT and
show how it can be applied to the studying of representations of
Zamolodchikov-Faddeev (ZF) algebras. In the bosonic construction we obtain
explicit realization of chiral vertex operators interpolating between
irreducible representations of the deformed Virasoro algebra. The commutation
relations of these operators are determined by the elliptic matrix of IRF type
and their matrix elements are given in the form of the contour integrals of
some meromorphic functions.
|
[
{
"created": "Thu, 15 Dec 1994 11:33:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lukyanov",
"Sergei",
""
],
[
"Pugai",
"Yaroslav",
""
]
] |
These lectures were prepared to be presented at A.A. Belavin seminar on CFT at Landau Institute for Theoretical Physics. We review bosonization of CFT and show how it can be applied to the studying of representations of Zamolodchikov-Faddeev (ZF) algebras. In the bosonic construction we obtain explicit realization of chiral vertex operators interpolating between irreducible representations of the deformed Virasoro algebra. The commutation relations of these operators are determined by the elliptic matrix of IRF type and their matrix elements are given in the form of the contour integrals of some meromorphic functions.
| 9.01263 | 8.618442 | 9.606839 | 8.111012 | 8.75004 | 8.611006 | 8.94499 | 9.592308 | 9.492791 | 10.248174 | 8.480112 | 8.611833 | 9.430806 | 8.08207 | 8.0736 | 7.788326 | 8.116297 | 8.233949 | 8.166944 | 9.105292 | 7.757448 |
1106.4550
|
Tudor Dan Dimofte
|
Tudor Dimofte and Sergei Gukov
|
Chern-Simons Theory and S-duality
|
64 pages, 18 figures
| null | null |
CALT-68-2841
|
hep-th math.AG math.GT math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study S-dualities in analytically continued SL(2) Chern-Simons theory on a
3-manifold M. By realizing Chern-Simons theory via a compactification of a 6d
five-brane theory on M, various objects and symmetries in Chern-Simons theory
become related to objects and operations in dual 2d, 3d, and 4d theories. For
example, the space of flat SL(2,C) connections on M is identified with the
space of supersymmetric vacua in a dual 3d gauge theory. The hidden symmetry
"hbar -> - (4 pi^2)/hbar" of SL(2) Chern-Simons theory can be identified as the
S-duality transformation of N=4 super-Yang-Mills theory (obtained by
compactifying the five-brane theory on a torus); whereas the mapping class
group action in Chern-Simons theory on a three-manifold M with boundary C is
realized as S-duality in 4d N=2 super-Yang-Mills theory associated with the
Riemann surface C. We illustrate these symmetries by considering simple
examples of 3-manifolds that include knot complements and punctured torus
bundles, on the one hand, and mapping cylinders associated with mapping class
group transformations, on the other. A generalization of mapping class group
actions further allows us to study the transformations between several
distinguished coordinate systems on the phase space of Chern-Simons theory, the
SL(2) Hitchin moduli space.
|
[
{
"created": "Wed, 22 Jun 2011 20:00:05 GMT",
"version": "v1"
}
] |
2011-06-24
|
[
[
"Dimofte",
"Tudor",
""
],
[
"Gukov",
"Sergei",
""
]
] |
We study S-dualities in analytically continued SL(2) Chern-Simons theory on a 3-manifold M. By realizing Chern-Simons theory via a compactification of a 6d five-brane theory on M, various objects and symmetries in Chern-Simons theory become related to objects and operations in dual 2d, 3d, and 4d theories. For example, the space of flat SL(2,C) connections on M is identified with the space of supersymmetric vacua in a dual 3d gauge theory. The hidden symmetry "hbar -> - (4 pi^2)/hbar" of SL(2) Chern-Simons theory can be identified as the S-duality transformation of N=4 super-Yang-Mills theory (obtained by compactifying the five-brane theory on a torus); whereas the mapping class group action in Chern-Simons theory on a three-manifold M with boundary C is realized as S-duality in 4d N=2 super-Yang-Mills theory associated with the Riemann surface C. We illustrate these symmetries by considering simple examples of 3-manifolds that include knot complements and punctured torus bundles, on the one hand, and mapping cylinders associated with mapping class group transformations, on the other. A generalization of mapping class group actions further allows us to study the transformations between several distinguished coordinate systems on the phase space of Chern-Simons theory, the SL(2) Hitchin moduli space.
| 5.909039 | 6.156116 | 6.68656 | 6.061098 | 6.157312 | 6.080914 | 5.950372 | 6.190342 | 5.982518 | 7.617676 | 5.7601 | 5.814885 | 5.954941 | 5.752251 | 6.07934 | 5.880221 | 5.930054 | 5.738778 | 5.801933 | 5.903912 | 5.815978 |
1211.5087
|
Ville Ker\"anen
|
Ville Keranen
|
Non-equilibrium Wilson loops in N=4 SYM
|
24 pages, 7 figures. Parts of the text rewritten. Section 5 has been
expanded. Agrees with the published version
|
Phys. Rev. D 88, 105022 (2013)
|
10.1103/PhysRevD.88.105022
|
Nordita-2012-92; RH-11-2012
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider rectangular Wilson loops in certain non-equilibrium quantum
states in N=4 SYM at weak coupling, prepared with a quantum quench. We find
that in the ladder approximation, the Bethe-Salpeter equation can be reduced to
solving a massive 1+1 dimensional wave-equation with a leaking boundary
condition leading to a quasinormal behavior analogous to what is found in
studying dynamics of fields in black hole backrounds. Furthermore, we find that
the Wilson loops with size L approach a thermal form after time T=L/2. The
thermal form found in the current paper follows from the particular initial
state chosen.
|
[
{
"created": "Wed, 21 Nov 2012 17:03:46 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Nov 2013 15:45:14 GMT",
"version": "v2"
}
] |
2013-11-25
|
[
[
"Keranen",
"Ville",
""
]
] |
We consider rectangular Wilson loops in certain non-equilibrium quantum states in N=4 SYM at weak coupling, prepared with a quantum quench. We find that in the ladder approximation, the Bethe-Salpeter equation can be reduced to solving a massive 1+1 dimensional wave-equation with a leaking boundary condition leading to a quasinormal behavior analogous to what is found in studying dynamics of fields in black hole backrounds. Furthermore, we find that the Wilson loops with size L approach a thermal form after time T=L/2. The thermal form found in the current paper follows from the particular initial state chosen.
| 14.649687 | 14.556687 | 14.540589 | 13.58142 | 14.612801 | 14.697706 | 14.176904 | 14.227849 | 14.045691 | 14.199877 | 14.255978 | 13.546975 | 13.674782 | 13.321259 | 12.846541 | 13.905573 | 13.938829 | 13.373869 | 13.654928 | 13.844183 | 13.797888 |
1405.1246
|
Rong-Gen Cai
|
Rong-Gen Cai
|
Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
|
Letax, 17 pages with 6 figures
|
Phys. Lett. B733 (2014) 183-189
|
10.1016/j.physletb.2014.04.044
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/3.0/
|
We present exact analytical black hole solutions with conformal anomaly in
AdS space and discuss the thermodynamical properties of these black hole
solutions. These black holes can have a positive, zero and negative constant
curvature horizon, respectively. For the black hole with a positive constant
curvature horizon, there exists a minimal horizon determined by the coefficient
of the trace anomaly, the black hole with a smaller horizon is
thermodynamically unstable, while it is stable for the case with a larger
horizon. The Hawking-Page transition happens in this case. For the black hole
with a Ricci flat horizon, the black hole is always thermodynamically stable
and there is no Hawking-Page transition. In the case of the black hole with a
negative constant curvature horizon, there exists a critical value for the
coefficient of the trace anomaly, under this critical value, the black hole is
always thermodynamical stable and the Hawking-Page transition does not happen.
When the coefficient is beyond the critical value, the black hole with a
smaller horizon is thermodynamically unstable, but it becomes stable for the
case with a larger horizon, the Hawking-Page transition always happens in this
case. The latter is a new feature for the black holes with a negative constant
curvature horizon.
|
[
{
"created": "Tue, 6 May 2014 12:38:06 GMT",
"version": "v1"
}
] |
2014-05-07
|
[
[
"Cai",
"Rong-Gen",
""
]
] |
We present exact analytical black hole solutions with conformal anomaly in AdS space and discuss the thermodynamical properties of these black hole solutions. These black holes can have a positive, zero and negative constant curvature horizon, respectively. For the black hole with a positive constant curvature horizon, there exists a minimal horizon determined by the coefficient of the trace anomaly, the black hole with a smaller horizon is thermodynamically unstable, while it is stable for the case with a larger horizon. The Hawking-Page transition happens in this case. For the black hole with a Ricci flat horizon, the black hole is always thermodynamically stable and there is no Hawking-Page transition. In the case of the black hole with a negative constant curvature horizon, there exists a critical value for the coefficient of the trace anomaly, under this critical value, the black hole is always thermodynamical stable and the Hawking-Page transition does not happen. When the coefficient is beyond the critical value, the black hole with a smaller horizon is thermodynamically unstable, but it becomes stable for the case with a larger horizon, the Hawking-Page transition always happens in this case. The latter is a new feature for the black holes with a negative constant curvature horizon.
| 3.484879 | 3.241415 | 3.417012 | 3.235994 | 3.279475 | 3.270796 | 3.412503 | 3.333048 | 3.237105 | 3.405768 | 3.391764 | 3.406524 | 3.286192 | 3.252131 | 3.313691 | 3.266012 | 3.372945 | 3.364502 | 3.298144 | 3.26055 | 3.372317 |
0803.3272
|
Hyun Seok Yang
|
Hyun Seok Yang
|
Emergent Spacetime and The Cosmological Constant
|
2 pages; Contribution to Proceedings of the workshop "Progress of
String Theory and Quantum Field Theory", Osaka City University, Japan, 7-10
December 2007
|
Int.J.Mod.Phys.A23:2181-2183,2008
|
10.1142/S0217751X08040767
|
KIAS-P08022
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We address issues on the origin of gravity and the dark energy (or the
cosmological constant) from the perspectives of emergent gravity. We discuss
how the emergent gravity reveals a noble, radically different picture about the
origin of spacetime, which is crucial for a tenable solution of the
cosmological constant problem. In particular, the emergent gravity naturally
explains the dynamical origin of flat spacetime, which is absent in Einstein
gravity.
|
[
{
"created": "Sat, 22 Mar 2008 11:33:08 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Yang",
"Hyun Seok",
""
]
] |
We address issues on the origin of gravity and the dark energy (or the cosmological constant) from the perspectives of emergent gravity. We discuss how the emergent gravity reveals a noble, radically different picture about the origin of spacetime, which is crucial for a tenable solution of the cosmological constant problem. In particular, the emergent gravity naturally explains the dynamical origin of flat spacetime, which is absent in Einstein gravity.
| 11.286445 | 10.059484 | 10.840954 | 10.312954 | 10.38828 | 9.927978 | 9.71378 | 10.985654 | 10.587327 | 10.766304 | 9.999476 | 10.272965 | 10.499959 | 10.286095 | 10.117935 | 9.873831 | 10.109558 | 9.982106 | 10.431173 | 10.365986 | 10.14588 |
1905.09258
|
Kaloian Lozanov
|
Leila Mirzagholi, Azadeh Maleknejad, Kaloian D. Lozanov
|
Production and Backreaction of Fermions from Axion-$SU(2)$ Gauge Fields
during Inflation
|
Matches version accepted for publication in PRD
|
Phys. Rev. D 101, 083528 (2020)
|
10.1103/PhysRevD.101.083528
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
$SU(2)$ gauge fields and axions can have a stable, isotropic and homogeneous
configuration during inflation. However, couplings to other matter species lead
to particle production, which in turn induces backreaction on and
destabilization of the non-abelian and axion background. In this paper, we
first study the particle production by a $SU(2)$ gauge field coupled to a
massive Dirac doublet. To carry out this calculation we have made two technical
improvements compared to what has been done in the literature. First, we apply
the anti-symmetrization of the operators to treat particles and anti-particles
on equal footing, second, to deal with the UV divergences, we apply
instantaneous subtraction. We find that, the backreaction of produced fermions
on the $SU(2)$ background is negligible for model parameters of observational
interest. Next, we consider production of fermions due to coupling to the
axion. The tree-level backreaction on the gauge fields, as well as on the
axion, is vanishingly small. We also provide an estimate for the loop effects.
|
[
{
"created": "Wed, 22 May 2019 17:37:20 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jun 2019 15:40:28 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Apr 2020 22:27:42 GMT",
"version": "v3"
}
] |
2020-04-29
|
[
[
"Mirzagholi",
"Leila",
""
],
[
"Maleknejad",
"Azadeh",
""
],
[
"Lozanov",
"Kaloian D.",
""
]
] |
$SU(2)$ gauge fields and axions can have a stable, isotropic and homogeneous configuration during inflation. However, couplings to other matter species lead to particle production, which in turn induces backreaction on and destabilization of the non-abelian and axion background. In this paper, we first study the particle production by a $SU(2)$ gauge field coupled to a massive Dirac doublet. To carry out this calculation we have made two technical improvements compared to what has been done in the literature. First, we apply the anti-symmetrization of the operators to treat particles and anti-particles on equal footing, second, to deal with the UV divergences, we apply instantaneous subtraction. We find that, the backreaction of produced fermions on the $SU(2)$ background is negligible for model parameters of observational interest. Next, we consider production of fermions due to coupling to the axion. The tree-level backreaction on the gauge fields, as well as on the axion, is vanishingly small. We also provide an estimate for the loop effects.
| 7.88478 | 8.015562 | 7.459795 | 7.48961 | 8.029104 | 8.017195 | 7.920837 | 7.729253 | 7.489129 | 7.894881 | 7.346559 | 7.185398 | 7.292032 | 7.320145 | 7.399685 | 7.598024 | 7.352737 | 7.416054 | 7.272456 | 7.264576 | 7.538855 |
hep-th/9806144
|
Stephen G. Naculich
|
Isabel P. Ennes, Stephen G. Naculich, Henric Rhedin, Howard J.
Schnitzer
|
One-instanton predictions for non-hyperelliptic curves derived from
M-theory
|
16 pages, no figures; v2: minor corrections and simplifications; v3:
minor corrections
|
Nucl.Phys. B536 (1998) 245-257
|
10.1016/S0550-3213(98)00600-2
|
BRX-TH-436, BOW-PH-112, HUTP-98/A045
|
hep-th
| null |
One-instanton predictions are obtained from certain non-hyperelliptic
Seiberg-Witten curves derived from M-theory for N=2 supersymmetric gauge
theories. We consider SU(N_1) x SU(N_2) gauge theory with a hypermultiplet in
the bifundamental representation together with hypermultiplets in the defining
representations of SU(N_1) and SU(N_2). We also consider SU(N) gauge theory
with a hypermultiplet in the symmetric or antisymmetric representation,
together with hypermultiplets in the defining representation. The systematic
perturbation expansion about a hyperelliptic curve together with the judicious
use of an involution map for the curve of the product groups provide the
principal tools of the calculations.
|
[
{
"created": "Wed, 17 Jun 1998 21:21:59 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jul 1998 18:27:53 GMT",
"version": "v2"
},
{
"created": "Fri, 9 May 2003 17:35:56 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Ennes",
"Isabel P.",
""
],
[
"Naculich",
"Stephen G.",
""
],
[
"Rhedin",
"Henric",
""
],
[
"Schnitzer",
"Howard J.",
""
]
] |
One-instanton predictions are obtained from certain non-hyperelliptic Seiberg-Witten curves derived from M-theory for N=2 supersymmetric gauge theories. We consider SU(N_1) x SU(N_2) gauge theory with a hypermultiplet in the bifundamental representation together with hypermultiplets in the defining representations of SU(N_1) and SU(N_2). We also consider SU(N) gauge theory with a hypermultiplet in the symmetric or antisymmetric representation, together with hypermultiplets in the defining representation. The systematic perturbation expansion about a hyperelliptic curve together with the judicious use of an involution map for the curve of the product groups provide the principal tools of the calculations.
| 6.801085 | 5.344993 | 7.196512 | 5.447715 | 5.446655 | 5.36014 | 5.4259 | 5.450663 | 5.486607 | 7.906175 | 5.499592 | 5.97555 | 6.421304 | 6.021122 | 6.120904 | 6.2708 | 5.993934 | 5.975581 | 6.014353 | 6.617339 | 5.87274 |
0907.3510
|
Steven Gubser
|
Steven S. Gubser, Christopher P. Herzog, Silviu S. Pufu, and Tiberiu
Tesileanu
|
Superconductors from Superstrings
|
5 pages, 2 figures; v2 improved figure, small changes
|
Phys.Rev.Lett.103:141601,2009
|
10.1103/PhysRevLett.103.141601
|
PUPT-2306
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish that in a large class of strongly coupled 3+1 dimensional N=1
quiver conformal field theories with gravity duals, adding a chemical potential
for the R-charge leads to the existence of superfluid states in which a chiral
primary operator of the schematic form O = \lambda\lambda + W condenses. Here
\lambda is a gluino and W is the superpotential. Our argument is based on the
construction of a consistent truncation of type IIB supergravity that includes
a U(1) gauge field and a complex scalar.
|
[
{
"created": "Mon, 20 Jul 2009 22:55:38 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 2009 14:08:17 GMT",
"version": "v2"
}
] |
2009-10-29
|
[
[
"Gubser",
"Steven S.",
""
],
[
"Herzog",
"Christopher P.",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Tesileanu",
"Tiberiu",
""
]
] |
We establish that in a large class of strongly coupled 3+1 dimensional N=1 quiver conformal field theories with gravity duals, adding a chemical potential for the R-charge leads to the existence of superfluid states in which a chiral primary operator of the schematic form O = \lambda\lambda + W condenses. Here \lambda is a gluino and W is the superpotential. Our argument is based on the construction of a consistent truncation of type IIB supergravity that includes a U(1) gauge field and a complex scalar.
| 8.347438 | 7.943819 | 10.024153 | 6.635704 | 9.054474 | 7.967259 | 7.857178 | 7.890921 | 7.381128 | 8.681446 | 7.358884 | 7.280534 | 7.770557 | 7.093883 | 7.498915 | 7.570236 | 7.532892 | 7.459674 | 7.056911 | 7.964342 | 7.335405 |
0901.1341
|
C. Marat Reyes
|
C. Marat Reyes
|
Testing symmetries in effective models of higher derivative field
theories
|
13 pages, Sec. III, additional references added, P symmetry revised,
accepted for publication in PRD
|
Phys.Rev.D80:105008,2009
|
10.1103/PhysRevD.80.105008
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Higher derivative field theories with interactions raise serious doubts about
their validity due to severe energy instabilities. In many cases the
implementation of a direct perturbation treatment to excise the dangerous
negative-energies from a higher derivative field theory may lead to violations
of Lorentz and other symmetries. In this work we study a perturbative
formulation for higher derivative field theories that allows the construction
of a low-energy effective field theory being a genuine perturbations over the
ordinary-derivative theory and having a positive-defined Hamiltonian. We show
that some discrete symmetries are recovered in the low-energy effective theory
when the perturbative method to reduce the negative-energy degrees of freedom
from the higher derivative theory is applied. In particular, we focus on the
higher derivative Maxwell-Chern-Simons model which is a Lorentz invariant and
parity-odd theory in 2+1 dimensions. The parity violation arises in the
effective action of QED$_3$ as a quantum correction from the massive fermionic
sector. We obtain the effective field theory which remains Lorentz invariant,
but parity invariant to the order considered in the perturbative expansion.
|
[
{
"created": "Sat, 10 Jan 2009 00:43:47 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2009 22:58:45 GMT",
"version": "v2"
}
] |
2010-04-22
|
[
[
"Reyes",
"C. Marat",
""
]
] |
Higher derivative field theories with interactions raise serious doubts about their validity due to severe energy instabilities. In many cases the implementation of a direct perturbation treatment to excise the dangerous negative-energies from a higher derivative field theory may lead to violations of Lorentz and other symmetries. In this work we study a perturbative formulation for higher derivative field theories that allows the construction of a low-energy effective field theory being a genuine perturbations over the ordinary-derivative theory and having a positive-defined Hamiltonian. We show that some discrete symmetries are recovered in the low-energy effective theory when the perturbative method to reduce the negative-energy degrees of freedom from the higher derivative theory is applied. In particular, we focus on the higher derivative Maxwell-Chern-Simons model which is a Lorentz invariant and parity-odd theory in 2+1 dimensions. The parity violation arises in the effective action of QED$_3$ as a quantum correction from the massive fermionic sector. We obtain the effective field theory which remains Lorentz invariant, but parity invariant to the order considered in the perturbative expansion.
| 10.173687 | 10.051075 | 10.206989 | 9.659931 | 10.208338 | 10.213324 | 10.285773 | 10.207973 | 10.115602 | 11.22664 | 9.990832 | 9.564739 | 9.554607 | 9.547285 | 9.649002 | 9.432979 | 9.586148 | 9.561745 | 9.599849 | 9.786254 | 9.658533 |
hep-th/0007235
|
Justin David
|
Justin R. David
|
Tachyon condensation in the D0/D4 system
|
22 pages, 2 figures, uses JHEP.cls
|
JHEP 0010 (2000) 004
|
10.1088/1126-6708/2000/10/004
| null |
hep-th
| null |
The D0/D4 system with a Neveu-Schwarz B-field in the spatial directions of
the D4-brane has a tachyon in the spectrum of the (0,4) strings. The tachyon
signals the instability of the system to form a bound state of the D0-brane
with the D4-brane. We use the Wess-Zumino-Witten like open superstring field
theory formulated by Berkovits to study the tachyon potential for this system.
The tachyon potential lies outside the universality class of the D-brane
anti-D-brane system. It is a function of the B-field. We calculate the tachyon
potential at the zeroth level approximation. The minimum of the tachyon
potential in this case is expected to reproduce the mass defect involved in the
formation of the D0/D4 bound state. We compare the minimum of the tachyon
potential with the mass defect in three cases. For small values of the B-field
we obtain 70% of the expected mass defect. For large values of the B-field with
Pf$(2\pi\alpha' B) >0$ the potential reduces to that of the D-brane
anti-D-brane reproducing 62% of the expected mass defect. For large values of
the B-field with Pf$(2\pi\alpha' B) <0$ the minimum of the tachyon potential
gives 25% of the expected mass defect. At the tachyon condensate we show that
the (0,4) strings decouple from the low energy dynamics.
|
[
{
"created": "Fri, 28 Jul 2000 20:44:58 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"David",
"Justin R.",
""
]
] |
The D0/D4 system with a Neveu-Schwarz B-field in the spatial directions of the D4-brane has a tachyon in the spectrum of the (0,4) strings. The tachyon signals the instability of the system to form a bound state of the D0-brane with the D4-brane. We use the Wess-Zumino-Witten like open superstring field theory formulated by Berkovits to study the tachyon potential for this system. The tachyon potential lies outside the universality class of the D-brane anti-D-brane system. It is a function of the B-field. We calculate the tachyon potential at the zeroth level approximation. The minimum of the tachyon potential in this case is expected to reproduce the mass defect involved in the formation of the D0/D4 bound state. We compare the minimum of the tachyon potential with the mass defect in three cases. For small values of the B-field we obtain 70% of the expected mass defect. For large values of the B-field with Pf$(2\pi\alpha' B) >0$ the potential reduces to that of the D-brane anti-D-brane reproducing 62% of the expected mass defect. For large values of the B-field with Pf$(2\pi\alpha' B) <0$ the minimum of the tachyon potential gives 25% of the expected mass defect. At the tachyon condensate we show that the (0,4) strings decouple from the low energy dynamics.
| 4.93964 | 4.607893 | 5.350686 | 4.654035 | 4.914963 | 4.499878 | 4.340323 | 4.502203 | 4.68226 | 5.493551 | 4.545142 | 4.492815 | 4.708679 | 4.566624 | 4.651129 | 4.513711 | 4.548552 | 4.599823 | 4.680507 | 4.71053 | 4.521124 |
hep-th/9110030
|
Vladimir Dotsenko
|
Vl.S.Dotsenko
|
Correlation Functions of Local Operators in 2D Gravity Coupled to
Minimal Matter
|
12 pages
| null | null | null |
hep-th
| null |
Recent advances are being discussed on the calculation, within the conformal
field theory approach, of the correlation functions for local operators in the
theory of 2D gravity coupled to the minimal models of matter.
|
[
{
"created": "Fri, 11 Oct 1991 23:39:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dotsenko",
"Vl. S.",
""
]
] |
Recent advances are being discussed on the calculation, within the conformal field theory approach, of the correlation functions for local operators in the theory of 2D gravity coupled to the minimal models of matter.
| 13.371322 | 9.872931 | 13.148019 | 10.023374 | 11.012197 | 10.273909 | 12.112135 | 9.868636 | 10.319986 | 16.649057 | 10.531813 | 9.780665 | 11.509204 | 10.379573 | 10.931879 | 9.975121 | 10.101333 | 10.207955 | 10.914081 | 11.760832 | 9.506528 |
1201.2705
|
Christopher Eling
|
Christopher Eling, Adiel Meyer, and Yaron Oz
|
The Relativistic Rindler Hydrodynamics
|
25 pages, 2 appendices; v3: improved presentation, corrected typos
| null |
10.1007/JHEP05(2012)116
|
AEI-2012-002
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a (d+2)-dimensional class of Lorentzian geometries
holographically dual to a relativistic fluid flow in (d+1) dimensions. The
fluid is defined on a (d+1)-dimensional time-like surface which is embedded in
the (d+2)-dimensional bulk space-time and equipped with a flat intrinsic
metric. We find two types of geometries that are solutions to the vacuum
Einstein equations: the Rindler metric and the Taub plane symmetric vacuum.
These correspond to dual perfect fluids with vanishing and negative energy
densities respectively. While the Rindler geometry is characterized by a causal
horizon, the Taub geometry has a timelike naked singularity, indicating
pathological behavior. We construct the Rindler hydrodynamics up to the second
order in derivatives of the fluid variables and show the positivity of its
entropy current divergence.
|
[
{
"created": "Thu, 12 Jan 2012 23:14:33 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jan 2012 19:55:24 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Mar 2012 12:25:12 GMT",
"version": "v3"
}
] |
2015-06-03
|
[
[
"Eling",
"Christopher",
""
],
[
"Meyer",
"Adiel",
""
],
[
"Oz",
"Yaron",
""
]
] |
We consider a (d+2)-dimensional class of Lorentzian geometries holographically dual to a relativistic fluid flow in (d+1) dimensions. The fluid is defined on a (d+1)-dimensional time-like surface which is embedded in the (d+2)-dimensional bulk space-time and equipped with a flat intrinsic metric. We find two types of geometries that are solutions to the vacuum Einstein equations: the Rindler metric and the Taub plane symmetric vacuum. These correspond to dual perfect fluids with vanishing and negative energy densities respectively. While the Rindler geometry is characterized by a causal horizon, the Taub geometry has a timelike naked singularity, indicating pathological behavior. We construct the Rindler hydrodynamics up to the second order in derivatives of the fluid variables and show the positivity of its entropy current divergence.
| 6.636694 | 6.58012 | 6.970481 | 6.74328 | 6.752112 | 6.575053 | 6.502569 | 6.446954 | 6.438794 | 7.52862 | 6.563164 | 6.830925 | 6.485535 | 6.357484 | 6.248989 | 6.554903 | 6.563066 | 6.462811 | 6.521782 | 6.585832 | 6.247578 |
2112.13873
|
Shashin Pavaskar
|
Shashin Pavaskar, Riccardo Penco and Ira Z. Rothstein
|
An Effective Field Theory of Magneto-Elasticity
| null |
SciPost Phys. 12, 155 (2022)
|
10.21468/SciPostPhys.12.5.155
| null |
hep-th cond-mat.mes-hall gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We utilize the coset construction to derive the effective field theory of
magnon-phonon interactions in (anti)-ferromagnetic and ferrimagnetic insulating
materials. The action is used to calculate the equations of motion which
generalize the Landau-Lifshitz and stress equations to allow for
magneto-acoustic couplings to all orders in the fields at lowest order in the
derivative expansion. We also include the symmetry breaking effects due to
Zeeman, and Dzyaloshinsky-Moriya interactions. This effective theory is a
toolbox for the study of magneto-elastic phenomena from first principles. As an
example we use this theory to calculate the leading order contribution to the
magnon decay width due to its the decay into phonons.
|
[
{
"created": "Mon, 27 Dec 2021 19:19:48 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jan 2022 14:57:16 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Apr 2022 17:20:44 GMT",
"version": "v3"
}
] |
2022-05-11
|
[
[
"Pavaskar",
"Shashin",
""
],
[
"Penco",
"Riccardo",
""
],
[
"Rothstein",
"Ira Z.",
""
]
] |
We utilize the coset construction to derive the effective field theory of magnon-phonon interactions in (anti)-ferromagnetic and ferrimagnetic insulating materials. The action is used to calculate the equations of motion which generalize the Landau-Lifshitz and stress equations to allow for magneto-acoustic couplings to all orders in the fields at lowest order in the derivative expansion. We also include the symmetry breaking effects due to Zeeman, and Dzyaloshinsky-Moriya interactions. This effective theory is a toolbox for the study of magneto-elastic phenomena from first principles. As an example we use this theory to calculate the leading order contribution to the magnon decay width due to its the decay into phonons.
| 7.887523 | 9.16534 | 7.871093 | 8.899897 | 8.995429 | 8.503476 | 9.079171 | 8.95908 | 8.612332 | 9.246352 | 8.326419 | 8.65856 | 7.98318 | 8.324527 | 8.246795 | 8.227373 | 7.995359 | 8.695454 | 8.715027 | 7.921606 | 8.859285 |
hep-th/0211291
|
Richard Corrado
|
Sujay K. Ashok, Richard Corrado, Nick Halmagyi, Kristian D. Kennaway,
Christian Romelsberger
|
Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix
Models
|
LaTeX, 41 pages, 1 figure, 1 C source file. References added.
Derivation of loop equation corrected; result for free energy unchanged
|
Phys.Rev.D67:086004,2003
|
10.1103/PhysRevD.67.086004
|
RUNHETC-2002-48, USC-02/08
|
hep-th
| null |
We apply the proposal of Dijkgraaf and Vafa to analyze N=1 gauge theory with
SO(N) and Sp(N) gauge groups with arbitrary tree-level superpotentials using
matrix model techniques. We derive the planar and leading non-planar
contributions to the large M SO(M) and Sp(M) matrix model free energy by
applying the technology of higher-genus loop equations and by straightforward
diagrammatics. The loop equations suggest that the RP^2 free energy is given as
a derivative of the sphere contribution, a relation which we verify
diagrammatically. With a refinement of the proposal of Dijkgraaf and Vafa for
the effective superpotential, we find agreement with field theory expectations.
|
[
{
"created": "Fri, 29 Nov 2002 19:52:34 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Dec 2002 18:54:18 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Dec 2002 23:35:17 GMT",
"version": "v3"
}
] |
2010-12-03
|
[
[
"Ashok",
"Sujay K.",
""
],
[
"Corrado",
"Richard",
""
],
[
"Halmagyi",
"Nick",
""
],
[
"Kennaway",
"Kristian D.",
""
],
[
"Romelsberger",
"Christian",
""
]
] |
We apply the proposal of Dijkgraaf and Vafa to analyze N=1 gauge theory with SO(N) and Sp(N) gauge groups with arbitrary tree-level superpotentials using matrix model techniques. We derive the planar and leading non-planar contributions to the large M SO(M) and Sp(M) matrix model free energy by applying the technology of higher-genus loop equations and by straightforward diagrammatics. The loop equations suggest that the RP^2 free energy is given as a derivative of the sphere contribution, a relation which we verify diagrammatically. With a refinement of the proposal of Dijkgraaf and Vafa for the effective superpotential, we find agreement with field theory expectations.
| 9.718703 | 8.182527 | 11.963632 | 8.440052 | 8.454321 | 7.87967 | 8.212008 | 8.338992 | 8.443323 | 12.023312 | 8.439571 | 8.470207 | 10.165739 | 8.72885 | 8.291448 | 8.455825 | 8.424728 | 8.545842 | 8.511288 | 9.847023 | 8.712167 |
0812.2732
|
Gaston Giribet
|
Gaston Giribet, Lorena Nicol\'as
|
Comment on three-point function in AdS(3)/CFT(2)
|
21 pages. Version accepted for publication
|
J.Math.Phys.50:042304,2009
|
10.1063/1.3119003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, exact agreement has been found between bulk and boundary
three-point functions in AdS_3 x S^3 x T^4 with NSNS fluxes. This represents a
non-trivial check of AdS/CFT correspondence beyond the supergravity
approximation as it corresponds to an exact worldsheet computation. When taking
a closer look at this computation, one notices that a crucial point for the
bulk-boundary agreement to hold is an intriguing mutual cancellation between
worldsheet contributions corresponding to the AdS_3 and to the S^3 pieces of
the geometry, what results in a simple factorized form for the final
three-point function. In this note we review this cancellation and clarify some
points about the analytic relation between the SU(2) and the SL(2,R) structure
constants. In particular, we dicuss the connection to the Coulomb gas
representation. We also make some comments on the four-point function.
|
[
{
"created": "Mon, 15 Dec 2008 18:02:05 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2009 16:19:21 GMT",
"version": "v2"
}
] |
2011-06-02
|
[
[
"Giribet",
"Gaston",
""
],
[
"Nicolás",
"Lorena",
""
]
] |
Recently, exact agreement has been found between bulk and boundary three-point functions in AdS_3 x S^3 x T^4 with NSNS fluxes. This represents a non-trivial check of AdS/CFT correspondence beyond the supergravity approximation as it corresponds to an exact worldsheet computation. When taking a closer look at this computation, one notices that a crucial point for the bulk-boundary agreement to hold is an intriguing mutual cancellation between worldsheet contributions corresponding to the AdS_3 and to the S^3 pieces of the geometry, what results in a simple factorized form for the final three-point function. In this note we review this cancellation and clarify some points about the analytic relation between the SU(2) and the SL(2,R) structure constants. In particular, we dicuss the connection to the Coulomb gas representation. We also make some comments on the four-point function.
| 9.000084 | 7.790588 | 9.353777 | 7.41827 | 7.366973 | 8.014113 | 7.530197 | 7.699467 | 7.910922 | 9.989706 | 7.786996 | 7.595357 | 8.39667 | 7.714186 | 7.752485 | 7.616512 | 7.817649 | 7.512868 | 7.794119 | 8.256961 | 7.858696 |
1006.5609
|
Nils Carqueville
|
Nils Carqueville, Ingo Runkel
|
Rigidity and defect actions in Landau-Ginzburg models
|
53 pages; v2: clarified exposition of pivotal structures, corrected
proof of theorem 2.13, added remark 3.9; version to appear in CMP
|
Comm. Math. Phys. 310 (2012) 135-179
|
10.1007/s00220-011-1403-x
| null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Studying two-dimensional field theories in the presence of defect lines
naturally gives rise to monoidal categories: their objects are the different
(topological) defect conditions, their morphisms are junction fields, and their
tensor product describes the fusion of defects. These categories should be
equipped with a duality operation corresponding to reversing the orientation of
the defect line, providing a rigid and pivotal structure. We make this
structure explicit in topological Landau-Ginzburg models with potential x^d,
where defects are described by matrix factorisations of x^d-y^d. The duality
allows to compute an action of defects on bulk fields, which we compare to the
corresponding N=2 conformal field theories. We find that the two actions differ
by phases.
|
[
{
"created": "Tue, 29 Jun 2010 13:33:21 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jan 2012 08:57:45 GMT",
"version": "v2"
}
] |
2012-02-09
|
[
[
"Carqueville",
"Nils",
""
],
[
"Runkel",
"Ingo",
""
]
] |
Studying two-dimensional field theories in the presence of defect lines naturally gives rise to monoidal categories: their objects are the different (topological) defect conditions, their morphisms are junction fields, and their tensor product describes the fusion of defects. These categories should be equipped with a duality operation corresponding to reversing the orientation of the defect line, providing a rigid and pivotal structure. We make this structure explicit in topological Landau-Ginzburg models with potential x^d, where defects are described by matrix factorisations of x^d-y^d. The duality allows to compute an action of defects on bulk fields, which we compare to the corresponding N=2 conformal field theories. We find that the two actions differ by phases.
| 11.175629 | 10.749063 | 12.819632 | 9.56738 | 11.076339 | 9.792553 | 10.415932 | 9.973088 | 9.692166 | 14.192224 | 9.672208 | 9.553025 | 11.344711 | 9.884295 | 9.756394 | 9.526837 | 9.815855 | 9.718809 | 9.910049 | 10.935329 | 9.602204 |
hep-th/0610329
|
Troost Jan
|
Pierre Bieliavsky, Charles Jego, Jan Troost
|
Open strings in Lie groups and associative products
|
47 pages, 14 figures
|
Nucl.Phys.B782:94-133,2007
|
10.1016/j.nuclphysb.2007.05.029
|
CPHT-RR066.0906, LPTENS-06/45
|
hep-th
| null |
Firstly, we generalize a semi-classical limit of open strings on D-branes in
group manifolds. The limit gives rise to rigid open strings, whose dynamics can
efficiently be described in terms of a matrix algebra. Alternatively, the
dynamics is coded in group theory coefficients whose properties are translated
in a diagrammatical language. In the case of compact groups, it is a simplified
version of rational boundary conformal field theories, while for non-compact
groups, the construction gives rise to new associative products. Secondly, we
argue that the intuitive formalism that we provide for the semi-classical
limit, extends to the case of quantum groups. The associative product we
construct in this way is directly related to the boundary vertex operator
algebra of open strings on symmetry preserving branes in WZW models, and
generalizations thereof, e.g. to non-compact groups. We treat the groups SU(2)
and SL(2,R) explicitly. We also discuss the precise relation of the
semi-classical open string dynamics to Berezin quantization and to star product
theory.
|
[
{
"created": "Tue, 31 Oct 2006 15:21:45 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bieliavsky",
"Pierre",
""
],
[
"Jego",
"Charles",
""
],
[
"Troost",
"Jan",
""
]
] |
Firstly, we generalize a semi-classical limit of open strings on D-branes in group manifolds. The limit gives rise to rigid open strings, whose dynamics can efficiently be described in terms of a matrix algebra. Alternatively, the dynamics is coded in group theory coefficients whose properties are translated in a diagrammatical language. In the case of compact groups, it is a simplified version of rational boundary conformal field theories, while for non-compact groups, the construction gives rise to new associative products. Secondly, we argue that the intuitive formalism that we provide for the semi-classical limit, extends to the case of quantum groups. The associative product we construct in this way is directly related to the boundary vertex operator algebra of open strings on symmetry preserving branes in WZW models, and generalizations thereof, e.g. to non-compact groups. We treat the groups SU(2) and SL(2,R) explicitly. We also discuss the precise relation of the semi-classical open string dynamics to Berezin quantization and to star product theory.
| 11.134554 | 11.058664 | 12.284385 | 10.433166 | 11.814611 | 11.298021 | 11.731426 | 10.94616 | 10.364192 | 13.905931 | 10.334965 | 10.49371 | 11.057961 | 10.3076 | 10.507659 | 10.614154 | 10.626705 | 10.304671 | 10.489792 | 10.939841 | 10.248047 |
2101.05772
|
Carlo Heissenberg
|
Paolo Di Vecchia, Carlo Heissenberg, Rodolfo Russo and Gabriele
Veneziano
|
Radiation Reaction from Soft Theorems
|
17 pages, references updated, minor misprints corrected
| null |
10.1016/j.physletb.2021.136379
|
CERN-TH-2021-008, NORDITA 2021-001, QMUL-PH-21-03, UUITP-03/21
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Radiation reaction (RR) terms at the third post-Minkowskian (3PM) order have
recently been found to be instrumental in restoring smooth continuity between
the non-relativistic, relativistic, and ultra-relativistic (including the
massless) regimes. Here we propose a new and intriguing connection between RR
and soft (bremsstrahlung) theorems which short-circuits the more involved
conventional loop computations. Although first noticed in the context of the
maximally supersymmetric theory, unitarity and analyticity arguments support
the general validity of this 3PM-order connection that we apply, in particular,
to Einstein's gravity and to its Jordan-Brans-Dicke extension. In the former
case we find full agreement with a recent result by Damour obtained through a
very different reasoning.
|
[
{
"created": "Thu, 14 Jan 2021 18:22:09 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Apr 2021 18:21:38 GMT",
"version": "v2"
}
] |
2021-05-26
|
[
[
"Di Vecchia",
"Paolo",
""
],
[
"Heissenberg",
"Carlo",
""
],
[
"Russo",
"Rodolfo",
""
],
[
"Veneziano",
"Gabriele",
""
]
] |
Radiation reaction (RR) terms at the third post-Minkowskian (3PM) order have recently been found to be instrumental in restoring smooth continuity between the non-relativistic, relativistic, and ultra-relativistic (including the massless) regimes. Here we propose a new and intriguing connection between RR and soft (bremsstrahlung) theorems which short-circuits the more involved conventional loop computations. Although first noticed in the context of the maximally supersymmetric theory, unitarity and analyticity arguments support the general validity of this 3PM-order connection that we apply, in particular, to Einstein's gravity and to its Jordan-Brans-Dicke extension. In the former case we find full agreement with a recent result by Damour obtained through a very different reasoning.
| 9.639885 | 9.727655 | 10.921552 | 10.07969 | 10.529028 | 10.144808 | 9.823756 | 9.33486 | 9.645531 | 11.149481 | 9.66398 | 9.587541 | 9.762183 | 9.636507 | 9.406712 | 9.471409 | 9.521178 | 9.503662 | 9.686229 | 10.291364 | 9.831408 |
1910.12855
|
Dalimil Mazac
|
Dalimil Mazac, Leonardo Rastelli and Xinan Zhou
|
A Basis of Analytic Functionals for CFTs in General Dimension
|
47 pages, 2 figures; v2: references added, conventions fixed; v3:
published version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop an analytic approach to the four-point crossing equation in CFT,
for general spacetime dimension. In a unitary CFT, the crossing equation (for,
say, the s- and t-channel expansions) can be thought of as a vector equation in
an infinite-dimensional space of complex analytic functions in two variables,
which satisfy a boundedness condition in the u-channel Regge limit. We identify
a useful basis for this space of functions, consisting of the set of s- and
t-channel conformal blocks of double-twist operators in mean field theory. We
describe two independent algorithms to construct the dual basis of linear
functionals, and work out explicitly many examples. Our basis of functionals
appears to be closely related to the CFT dispersion relation recently derived
by Carmi and Caron-Huot.
|
[
{
"created": "Mon, 28 Oct 2019 17:59:46 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 2021 18:42:01 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Sep 2021 15:09:50 GMT",
"version": "v3"
}
] |
2021-09-13
|
[
[
"Mazac",
"Dalimil",
""
],
[
"Rastelli",
"Leonardo",
""
],
[
"Zhou",
"Xinan",
""
]
] |
We develop an analytic approach to the four-point crossing equation in CFT, for general spacetime dimension. In a unitary CFT, the crossing equation (for, say, the s- and t-channel expansions) can be thought of as a vector equation in an infinite-dimensional space of complex analytic functions in two variables, which satisfy a boundedness condition in the u-channel Regge limit. We identify a useful basis for this space of functions, consisting of the set of s- and t-channel conformal blocks of double-twist operators in mean field theory. We describe two independent algorithms to construct the dual basis of linear functionals, and work out explicitly many examples. Our basis of functionals appears to be closely related to the CFT dispersion relation recently derived by Carmi and Caron-Huot.
| 9.040675 | 9.568496 | 10.973861 | 8.828617 | 10.0289 | 10.040668 | 9.482851 | 9.083189 | 9.188632 | 10.223707 | 8.929932 | 8.575222 | 9.26634 | 8.45551 | 8.658874 | 8.791038 | 8.433475 | 8.504362 | 8.446546 | 9.598515 | 8.515836 |
1701.06406
|
Shunsuke Maeda
|
Simeon Hellerman and Shunsuke Maeda
|
On Vertex Operators in Effective String Theory
|
21 pages
| null | null |
IPMU-17-0012
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we construct vertex operators in effective string theory using
the simplified covariant formalism, i.e. by embedding it in the Polyakov
formalism supplemented by an anomaly term, and fixing to conformal gauge. These
vertex operators represent off-shell background fields rather than dynamical
string states. We construct vertex operators for nontrivial scalar,
electromagnetic, and gravitational backgrounds. As an application, we compute a
scalar form factor of a long string with length $R$, where the Fourier momentum
$q$ of the external scalar field satisfies $q^2 \ll 1/\alpha^\prime$, and we
find the expected logarithmic dependence on the size of the string.
|
[
{
"created": "Mon, 23 Jan 2017 14:22:46 GMT",
"version": "v1"
}
] |
2017-01-24
|
[
[
"Hellerman",
"Simeon",
""
],
[
"Maeda",
"Shunsuke",
""
]
] |
In this note we construct vertex operators in effective string theory using the simplified covariant formalism, i.e. by embedding it in the Polyakov formalism supplemented by an anomaly term, and fixing to conformal gauge. These vertex operators represent off-shell background fields rather than dynamical string states. We construct vertex operators for nontrivial scalar, electromagnetic, and gravitational backgrounds. As an application, we compute a scalar form factor of a long string with length $R$, where the Fourier momentum $q$ of the external scalar field satisfies $q^2 \ll 1/\alpha^\prime$, and we find the expected logarithmic dependence on the size of the string.
| 10.675014 | 10.295759 | 10.139514 | 10.173522 | 10.015032 | 10.670334 | 9.951747 | 10.207855 | 9.999702 | 10.714329 | 10.330308 | 9.727839 | 10.001023 | 9.56611 | 9.777235 | 9.874801 | 9.539269 | 9.393061 | 10.05849 | 9.831745 | 9.755506 |
2210.15298
|
Yu-Xiao Liu
|
Cheng-Chen Li, Zheng-Quan Cui, Tao-Tao Sui, Yu-Xiao Liu
|
Effective action of a self-interacting scalar field on brane
|
10 pages, 6 figures
|
Eur. Phys. J. C 83 (2023) 119
|
10.1140/epjc/s10052-023-11270-y
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In extra dimensional theories, the four-dimensional field theory is reduced
from a fundamental field theory in the bulk spacetime by integrating the extra
dimensional part. In this paper we investigate the effective action of a
self-interacting scalar field on a brane in the five-dimensional thick
braneworld scenario. We consider two typical thick brane solutions and obtain
the P\"{o}schl-Teller and harmonic potentials of the Kaluza-Klein (KK) modes,
respectively. The analytical mass spectra and wave functions along extra
dimension of the KK modes are obtained. Further, the effective coupling
constant between different KK particles, cross section, and decay rate for some
processes of the KK particles are related to the fundamental coupling in five
dimensions and the new physics energy scale. Some interesting properties of
these interactions are found with these calculations. The KK particles with
higher mode have longer lifetime, and they almost do not interact with ordinary
matter on the brane if their mode numbers are large enough. Thus, these KK
particles with higher modes might be a candidate of dark matter.
|
[
{
"created": "Thu, 27 Oct 2022 10:08:08 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Mar 2023 02:12:55 GMT",
"version": "v2"
}
] |
2023-03-14
|
[
[
"Li",
"Cheng-Chen",
""
],
[
"Cui",
"Zheng-Quan",
""
],
[
"Sui",
"Tao-Tao",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
In extra dimensional theories, the four-dimensional field theory is reduced from a fundamental field theory in the bulk spacetime by integrating the extra dimensional part. In this paper we investigate the effective action of a self-interacting scalar field on a brane in the five-dimensional thick braneworld scenario. We consider two typical thick brane solutions and obtain the P\"{o}schl-Teller and harmonic potentials of the Kaluza-Klein (KK) modes, respectively. The analytical mass spectra and wave functions along extra dimension of the KK modes are obtained. Further, the effective coupling constant between different KK particles, cross section, and decay rate for some processes of the KK particles are related to the fundamental coupling in five dimensions and the new physics energy scale. Some interesting properties of these interactions are found with these calculations. The KK particles with higher mode have longer lifetime, and they almost do not interact with ordinary matter on the brane if their mode numbers are large enough. Thus, these KK particles with higher modes might be a candidate of dark matter.
| 9.464664 | 9.223309 | 8.899746 | 8.546525 | 9.25072 | 8.910413 | 9.260575 | 8.83192 | 9.032397 | 9.988774 | 8.500227 | 8.636514 | 8.701588 | 8.671534 | 8.751208 | 8.771726 | 8.795979 | 8.66674 | 8.551958 | 9.048526 | 8.770679 |
0901.4806
|
Raphael Bousso
|
Raphael Bousso
|
Complementarity in the Multiverse
|
23 pages, 8 figures
|
Phys.Rev.D79:123524,2009
|
10.1103/PhysRevD.79.123524
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the multiverse, as in AdS, light-cones relate bulk points to boundary
scales. This holographic UV-IR connection defines a preferred global time
cut-off that regulates the divergences of eternal inflation. An entirely
different cut-off, the causal patch, arises in the holographic description of
black holes. Remarkably, I find evidence that these two regulators define the
same probability measure in the multiverse. Initial conditions for the causal
patch are controlled by the late-time attractor regime of the global
description.
|
[
{
"created": "Fri, 30 Jan 2009 20:41:28 GMT",
"version": "v1"
}
] |
2009-07-09
|
[
[
"Bousso",
"Raphael",
""
]
] |
In the multiverse, as in AdS, light-cones relate bulk points to boundary scales. This holographic UV-IR connection defines a preferred global time cut-off that regulates the divergences of eternal inflation. An entirely different cut-off, the causal patch, arises in the holographic description of black holes. Remarkably, I find evidence that these two regulators define the same probability measure in the multiverse. Initial conditions for the causal patch are controlled by the late-time attractor regime of the global description.
| 17.656004 | 17.466131 | 20.478951 | 16.707706 | 18.828428 | 18.100651 | 16.849794 | 15.900749 | 17.38011 | 21.689157 | 15.728758 | 16.62533 | 17.405416 | 16.943533 | 17.168884 | 17.554073 | 17.217529 | 16.994635 | 17.383486 | 17.648176 | 15.933352 |
1406.6253
|
Alexey Vladimirov
|
A.A.Vladimirov
|
Generating function for web diagrams
|
8 pages, 3 figures; version accepted by PRD
| null |
10.1103/PhysRevD.90.066007
|
LU TP 14-24
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the description of the exponentiated diagrams in terms of
generating function within the universal diagrammatic technique. In particular,
we show the exponentiation of the gauge theory amplitudes involving products of
an arbitrary number of Wilson lines of arbitrary shapes, which generalizes the
concept of web diagrams. The presented method gives a new viewpoint on the web
diagrams and proves the non-Abelian exponentiation theorem.
|
[
{
"created": "Tue, 24 Jun 2014 14:35:02 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Sep 2014 10:27:52 GMT",
"version": "v2"
}
] |
2014-10-09
|
[
[
"Vladimirov",
"A. A.",
""
]
] |
We present the description of the exponentiated diagrams in terms of generating function within the universal diagrammatic technique. In particular, we show the exponentiation of the gauge theory amplitudes involving products of an arbitrary number of Wilson lines of arbitrary shapes, which generalizes the concept of web diagrams. The presented method gives a new viewpoint on the web diagrams and proves the non-Abelian exponentiation theorem.
| 13.732808 | 14.462387 | 13.66116 | 12.378407 | 16.157177 | 15.101207 | 12.017031 | 14.392555 | 12.684369 | 13.92772 | 13.920346 | 14.224158 | 12.618196 | 12.661054 | 12.895846 | 15.433151 | 13.705385 | 14.439114 | 13.126504 | 13.215939 | 14.54567 |
2302.14303
|
Zhou Chen
|
Zhou Chen
|
Complex-valued Holographic Pseudo Entropy via Real-time AdS/CFT
Correspondence
|
12 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The pseudo entropy is a promising recent generalization of the entanglement
entropy to the situations in which both the initial and final state are
involved, with the density matrix promoted to the transition matrix. However,
in contrast to the non-Hermiticity of the generic transition matrix, the
holographic pseudo entropy formulated via the Euclidean AdS/CFT turns out to be
always real-valued, which potentially conceals the crucial natures of this
novel quantity. In this note, we make the first attempt to formulate a
real-time prescription for computations to incorporate naturally the pseudo
entropy, as a generally complex-valued entanglement measure, into the AdS/CFT
context. It is then conjectured that the holographic pseudo entropy is dual to
the extremal codimension-2 area surface in the generally time-dependent
Lorentzian asymptotically AdS spacetime, but may also receive imaginary
contribution from the regularized extrinsic curvature term of the area surface,
which is not included in the covariant holographic entanglement entropy. In
this real-time prescription, the holographic pseudo entropy can be considered
as a generalization of the covariant holographic entanglement entropy, as well.
|
[
{
"created": "Tue, 28 Feb 2023 04:33:32 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Apr 2023 11:49:26 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Jun 2023 12:29:00 GMT",
"version": "v3"
}
] |
2023-06-02
|
[
[
"Chen",
"Zhou",
""
]
] |
The pseudo entropy is a promising recent generalization of the entanglement entropy to the situations in which both the initial and final state are involved, with the density matrix promoted to the transition matrix. However, in contrast to the non-Hermiticity of the generic transition matrix, the holographic pseudo entropy formulated via the Euclidean AdS/CFT turns out to be always real-valued, which potentially conceals the crucial natures of this novel quantity. In this note, we make the first attempt to formulate a real-time prescription for computations to incorporate naturally the pseudo entropy, as a generally complex-valued entanglement measure, into the AdS/CFT context. It is then conjectured that the holographic pseudo entropy is dual to the extremal codimension-2 area surface in the generally time-dependent Lorentzian asymptotically AdS spacetime, but may also receive imaginary contribution from the regularized extrinsic curvature term of the area surface, which is not included in the covariant holographic entanglement entropy. In this real-time prescription, the holographic pseudo entropy can be considered as a generalization of the covariant holographic entanglement entropy, as well.
| 9.237864 | 9.033801 | 10.620644 | 8.636926 | 8.220167 | 9.238445 | 9.321734 | 8.458504 | 8.306636 | 11.03971 | 8.690956 | 8.716463 | 9.338665 | 8.712493 | 8.754088 | 8.454272 | 8.738122 | 8.612674 | 8.687565 | 8.994363 | 8.682003 |
1711.03308
|
Christian Saemann
|
Andreas Deser and Marc Andre Heller and Christian Saemann
|
Extended Riemannian Geometry II: Local Heterotic Double Field Theory
|
v2: 30 pages, few more details added, typos fixed, published version
|
JHEP 04 (2018) 106
|
10.1007/JHEP04(2018)106
|
EMPG-17-18
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue our exploration of local Double Field Theory (DFT) in terms of
symplectic graded manifolds carrying compatible derivations and study the case
of heterotic DFT. We start by developing in detail the differential graded
manifold that captures heterotic Generalized Geometry which leads to new
observations on the generalized metric and its twists. We then give a
symplectic pre-NQ-manifold that captures the symmetries and the geometry of
local heterotic DFT. We derive a weakened form of the section condition, which
arises algebraically from consistency of the symmetry Lie 2-algebra and its
action on extended tensors. We also give appropriate notions of twists-which
are required for global formulations-and of the torsion and Riemann tensors.
Finally, we show how the observed $\alpha'$-corrections are interpreted
naturally in our framework.
|
[
{
"created": "Thu, 9 Nov 2017 10:08:32 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Apr 2018 09:23:48 GMT",
"version": "v2"
}
] |
2018-04-24
|
[
[
"Deser",
"Andreas",
""
],
[
"Heller",
"Marc Andre",
""
],
[
"Saemann",
"Christian",
""
]
] |
We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT. We start by developing in detail the differential graded manifold that captures heterotic Generalized Geometry which leads to new observations on the generalized metric and its twists. We then give a symplectic pre-NQ-manifold that captures the symmetries and the geometry of local heterotic DFT. We derive a weakened form of the section condition, which arises algebraically from consistency of the symmetry Lie 2-algebra and its action on extended tensors. We also give appropriate notions of twists-which are required for global formulations-and of the torsion and Riemann tensors. Finally, we show how the observed $\alpha'$-corrections are interpreted naturally in our framework.
| 14.606987 | 14.190438 | 16.89839 | 14.062924 | 14.74819 | 14.560811 | 15.860793 | 14.445756 | 13.947808 | 19.237432 | 13.839207 | 13.129884 | 14.074923 | 13.351367 | 13.031515 | 13.458288 | 13.12157 | 13.471784 | 13.384284 | 14.256817 | 13.511123 |
hep-th/0211181
|
Plamen Bozhilov
|
P. Bozhilov
|
Probe Branes Dynamics: Exact Solutions in General Backgrounds
|
LaTeX, 26 pages, no figures; V2: references added; V3: typos
corrected, to appear in Nucl. Phys. B
|
Nucl.Phys. B656 (2003) 199-225
|
10.1016/S0550-3213(03)00119-6
| null |
hep-th
| null |
We consider probe p-branes and Dp-branes dynamics in D-dimensional string
theory backgrounds of general type. Unified description for the tensile and
tensionless branes is used. We obtain exact solutions of their equations of
motion and constraints in static gauge as well as in more general gauges. Their
dynamics in the whole space-time is also analysed and exact solutions are
found.
|
[
{
"created": "Tue, 19 Nov 2002 19:12:46 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Nov 2002 13:26:59 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Mar 2003 18:19:47 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Bozhilov",
"P.",
""
]
] |
We consider probe p-branes and Dp-branes dynamics in D-dimensional string theory backgrounds of general type. Unified description for the tensile and tensionless branes is used. We obtain exact solutions of their equations of motion and constraints in static gauge as well as in more general gauges. Their dynamics in the whole space-time is also analysed and exact solutions are found.
| 14.678034 | 12.567281 | 16.808315 | 12.642126 | 12.513583 | 11.655633 | 12.409256 | 12.752207 | 13.179705 | 16.985161 | 11.99171 | 12.946696 | 14.32838 | 12.931087 | 13.058493 | 13.0288 | 12.892492 | 12.533713 | 12.599377 | 14.341737 | 12.808447 |
1703.00961
|
Prabal Adhikari
|
Prabal Adhikari, Jaehong Choi
|
Vortex solutions in the Abelian Higgs Model with a neutral scalar
|
23 pages, 10 figures, accepted to be published in Acta Polonica B
| null |
10.5506/APhysPolB.48.145
| null |
hep-th cond-mat.supr-con nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct an extension of the Abelian Higgs model, which consists of a
complex scalar field by including an additional real, electromagnetically
neutral scalar field. We couple this real scalar field to the complex scalar
field via a quartic coupling and investigate $U(1)$ vortex solutions in this
"extended Abelian Higgs Model". Since this model has two additional homogeneous
ground states, the $U(1)$ vortices that can form in this model have a richer
structure than in the Abelian Higgs Model. We also find the "phase diagram" of
the model showing the parameter space in which the real scalar particle
condenses in the vortex state while having a zero vacuum expectation value in
the homogeneous ground state.
|
[
{
"created": "Wed, 1 Mar 2017 12:39:40 GMT",
"version": "v1"
}
] |
2017-03-17
|
[
[
"Adhikari",
"Prabal",
""
],
[
"Choi",
"Jaehong",
""
]
] |
We construct an extension of the Abelian Higgs model, which consists of a complex scalar field by including an additional real, electromagnetically neutral scalar field. We couple this real scalar field to the complex scalar field via a quartic coupling and investigate $U(1)$ vortex solutions in this "extended Abelian Higgs Model". Since this model has two additional homogeneous ground states, the $U(1)$ vortices that can form in this model have a richer structure than in the Abelian Higgs Model. We also find the "phase diagram" of the model showing the parameter space in which the real scalar particle condenses in the vortex state while having a zero vacuum expectation value in the homogeneous ground state.
| 7.574087 | 7.858917 | 7.40511 | 7.257017 | 7.869035 | 8.183963 | 7.831271 | 7.897541 | 7.261701 | 6.957793 | 7.756671 | 7.156343 | 7.153655 | 7.080287 | 7.508995 | 7.330628 | 7.350748 | 7.204172 | 7.041673 | 7.451014 | 7.146817 |
hep-th/0207166
|
Masayoshi Yamamoto
|
Ko Furuta, Takeo Inami, Hiroaki Nakajima and Masayoshi Yamamoto
|
Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions
|
11 pages, minor corrections
|
JHEP 0208 (2002) 009
|
10.1088/1126-6708/2002/08/009
| null |
hep-th
| null |
We find non-BPS solutions of the noncommutative CP^1 model in 2+1 dimensions.
These solutions correspond to soliton anti-soliton configurations. We show that
the one-soliton one-anti-soliton solution is unstable when the distance between
the soliton and the anti-soliton is small. We also construct time-dependent
solutions and other types of solutions.
|
[
{
"created": "Thu, 18 Jul 2002 14:02:41 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Aug 2002 11:47:30 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Furuta",
"Ko",
""
],
[
"Inami",
"Takeo",
""
],
[
"Nakajima",
"Hiroaki",
""
],
[
"Yamamoto",
"Masayoshi",
""
]
] |
We find non-BPS solutions of the noncommutative CP^1 model in 2+1 dimensions. These solutions correspond to soliton anti-soliton configurations. We show that the one-soliton one-anti-soliton solution is unstable when the distance between the soliton and the anti-soliton is small. We also construct time-dependent solutions and other types of solutions.
| 6.306071 | 5.30008 | 5.767199 | 5.023901 | 5.272587 | 5.25986 | 5.003557 | 4.898928 | 4.795753 | 6.979814 | 5.003832 | 5.200846 | 6.052807 | 5.316263 | 5.422865 | 5.220612 | 5.477345 | 5.308232 | 5.377326 | 5.913051 | 5.432652 |
2312.16298
|
Yangrui Hu
|
Alfredo Guevara and Yangrui Hu
|
Celestial Quantum Error Correction I: Qubits from Noncommutative Klein
Space
| null | null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum gravity in 4D asymptotically flat spacetimes features spontaneous
symmetry breaking due to soft radiation hair, intimately tied to the
proliferation of IR divergences. A holographic description via a putative 2D
CFT is expected free of such redundancies. In this series of two papers, we
address this issue by initiating the study of Quantum Error Correction in
Celestial CFT (CCFT). In Part I we construct a toy model with finite degrees of
freedom by revisiting noncommutative geometry in Kleinian hyperk\"ahler
spacetimes. The model obeys a Wick algebra that renormalizes in the radial
direction and admits an isometric embedding \`a la Gottesman-Kitaev-Preskill.
The code subspace is composed of 2-qubit stabilizer states which are robust
under soft spacetime fluctuations. Symmetries of the hyperk\"ahler space become
discrete and translate into the Clifford group familiar from quantum
computation. The construction is then embedded into the incidence relation of
twistor space, paving the way for the CCFT regime addressed in upcoming work.
|
[
{
"created": "Tue, 26 Dec 2023 19:07:02 GMT",
"version": "v1"
}
] |
2023-12-29
|
[
[
"Guevara",
"Alfredo",
""
],
[
"Hu",
"Yangrui",
""
]
] |
Quantum gravity in 4D asymptotically flat spacetimes features spontaneous symmetry breaking due to soft radiation hair, intimately tied to the proliferation of IR divergences. A holographic description via a putative 2D CFT is expected free of such redundancies. In this series of two papers, we address this issue by initiating the study of Quantum Error Correction in Celestial CFT (CCFT). In Part I we construct a toy model with finite degrees of freedom by revisiting noncommutative geometry in Kleinian hyperk\"ahler spacetimes. The model obeys a Wick algebra that renormalizes in the radial direction and admits an isometric embedding \`a la Gottesman-Kitaev-Preskill. The code subspace is composed of 2-qubit stabilizer states which are robust under soft spacetime fluctuations. Symmetries of the hyperk\"ahler space become discrete and translate into the Clifford group familiar from quantum computation. The construction is then embedded into the incidence relation of twistor space, paving the way for the CCFT regime addressed in upcoming work.
| 16.769842 | 18.078926 | 18.007063 | 14.983994 | 15.727633 | 15.637647 | 18.147552 | 16.27025 | 15.849343 | 19.729422 | 16.143902 | 16.071043 | 15.380386 | 15.185315 | 15.726812 | 15.430079 | 15.791682 | 15.719158 | 15.522777 | 15.976334 | 15.524345 |
1109.2633
|
Keun-young Kim
|
Nick Evans, Astrid Gebauer, Keun-Young Kim, and Maria Magou
|
Towards a Holographic Model of the QCD Phase Diagram
|
11 pages, 9 figures, v2: minor corrections, Invited contribution to
an AdS/CFT edition of Journal of Physics G
| null |
10.1088/0954-3899/39/5/054005
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the temperature-chemical potential phase diagrams of holographic
models of a range of strongly coupled gauge theories that display chiral
symmetry breaking/restoration transitions. The models are based on the
D3/probe-D7 system but with a phenomenologically chosen running
coupling/dilaton profile. We realize chiral phase transitions with either
temperature or density that are first or second order by changing the dilaton
profile. Although the models are only caricatures of QCD they show that
holographic models can capture many aspects of the QCD phase diagram and hint
at the dependence on the running coupling.
|
[
{
"created": "Mon, 12 Sep 2011 21:40:38 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Apr 2012 23:11:56 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Evans",
"Nick",
""
],
[
"Gebauer",
"Astrid",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Magou",
"Maria",
""
]
] |
We describe the temperature-chemical potential phase diagrams of holographic models of a range of strongly coupled gauge theories that display chiral symmetry breaking/restoration transitions. The models are based on the D3/probe-D7 system but with a phenomenologically chosen running coupling/dilaton profile. We realize chiral phase transitions with either temperature or density that are first or second order by changing the dilaton profile. Although the models are only caricatures of QCD they show that holographic models can capture many aspects of the QCD phase diagram and hint at the dependence on the running coupling.
| 12.25637 | 11.927354 | 11.004499 | 9.777137 | 10.277882 | 10.992838 | 11.581864 | 10.37889 | 11.325813 | 13.140009 | 11.348272 | 11.18608 | 11.14708 | 10.640918 | 11.479283 | 11.581109 | 11.212053 | 10.952106 | 10.988441 | 11.029455 | 11.415811 |
2105.03271
|
Ran Li
|
Ran Li, Xuanhua Wang, Jin Wang
|
Island may not save the information paradox of Liouville black holes
|
Some clarifications added, conclusion unchanged. Comments are welcome
|
Phys. Rev. D 104, 106015 (2021)
|
10.1103/PhysRevD.104.106015
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By using the quantum extremal island formula, we perform a simple calculation
of the generalized entanglement entropy of Hawking radiation from the two
dimensional Liouville black hole. No reasonable island was found when
extremizing the generalized entropy. We explain qualitatively the reason why
the page curve cannot be reproduced in the present model. This suggests that
the islands may not necessarily save the information paradox for the Liouville
black holes.
|
[
{
"created": "Fri, 7 May 2021 13:49:43 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Oct 2021 19:18:38 GMT",
"version": "v2"
}
] |
2021-12-08
|
[
[
"Li",
"Ran",
""
],
[
"Wang",
"Xuanhua",
""
],
[
"Wang",
"Jin",
""
]
] |
By using the quantum extremal island formula, we perform a simple calculation of the generalized entanglement entropy of Hawking radiation from the two dimensional Liouville black hole. No reasonable island was found when extremizing the generalized entropy. We explain qualitatively the reason why the page curve cannot be reproduced in the present model. This suggests that the islands may not necessarily save the information paradox for the Liouville black holes.
| 12.94764 | 10.99859 | 13.066602 | 11.191904 | 12.141541 | 11.633323 | 11.085747 | 11.716905 | 10.617249 | 13.562756 | 10.23475 | 11.088958 | 11.123566 | 11.121339 | 11.525151 | 11.383489 | 11.016031 | 10.693682 | 10.350846 | 11.024072 | 10.732943 |
2209.09235
|
Mich\`ele Levi
|
Jung-Wook Kim, Mich\`ele Levi, Zhewei Yin
|
N$^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
|
57 pp, 1 figure; 25 ancillary files, including pdf of ~1000 visual
graphs
|
JHEP 2303 (2023) 098
|
10.1007/JHEP03(2023)098
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We derive the third subleading (N$^3$LO) corrections of the quadratic-in-spin
sectors via the EFT of spinning objects in post-Newtonian (PN) gravity. These
corrections consist of contributions from $4$ sectors for generic compact
binaries, that enter at the fifth PN order. One of these contributions is due
to a new tidal interaction, that is unique to the sectors with spin, and
complements the first tidal interaction that also enters at this PN order in
the simple point-mass sector. The evaluation of Feynman graphs is carried out
in a generic dimension via advanced multi-loop methods, and gives rise to
dimensional-regularization poles in conjunction with logarithms. At these
higher-spin sectors the reduction of generalized Lagrangians entails
redefinitions of the position beyond linear order. We provide here the most
general Lagrangians and Hamiltonians. We then specify the latter to simplified
configurations, and derive the consequent gauge-invariant relations among the
binding energy, angular momentum, and frequency. We end with a derivation of
all the scattering angles that correspond to an extension of our Hamiltonians
to the scattering problem in the simplified aligned-spins configuration, as a
guide to scattering-amplitudes studies.
|
[
{
"created": "Mon, 19 Sep 2022 17:57:31 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jan 2023 03:42:06 GMT",
"version": "v2"
}
] |
2023-03-17
|
[
[
"Kim",
"Jung-Wook",
""
],
[
"Levi",
"Michèle",
""
],
[
"Yin",
"Zhewei",
""
]
] |
We derive the third subleading (N$^3$LO) corrections of the quadratic-in-spin sectors via the EFT of spinning objects in post-Newtonian (PN) gravity. These corrections consist of contributions from $4$ sectors for generic compact binaries, that enter at the fifth PN order. One of these contributions is due to a new tidal interaction, that is unique to the sectors with spin, and complements the first tidal interaction that also enters at this PN order in the simple point-mass sector. The evaluation of Feynman graphs is carried out in a generic dimension via advanced multi-loop methods, and gives rise to dimensional-regularization poles in conjunction with logarithms. At these higher-spin sectors the reduction of generalized Lagrangians entails redefinitions of the position beyond linear order. We provide here the most general Lagrangians and Hamiltonians. We then specify the latter to simplified configurations, and derive the consequent gauge-invariant relations among the binding energy, angular momentum, and frequency. We end with a derivation of all the scattering angles that correspond to an extension of our Hamiltonians to the scattering problem in the simplified aligned-spins configuration, as a guide to scattering-amplitudes studies.
| 19.467045 | 17.988811 | 18.937428 | 17.755522 | 16.52569 | 15.635152 | 18.007572 | 15.648734 | 16.305538 | 23.495264 | 15.278099 | 17.393337 | 18.153135 | 17.903349 | 18.067408 | 17.965059 | 18.96747 | 17.705906 | 18.094822 | 19.208527 | 17.946693 |
1901.01217
|
Aleksei Shishmarev
|
S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev
|
States of charged quantum fields and their statistical properties in the
presence of critical potential steps
|
30 pages, 2 figures; misprints corrected, most of the auxiliary
formulas are transferred to appendixes, version accepted for publication in
PRA
|
Phys. Rev. A 99, 052116 (2019)
|
10.1103/PhysRevA.99.052116
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Evolution of charged quantum fields under the action of constant nonuniform
electric fields is studied. To this end we construct a special generating
functional for density operators of the quantum fields with different initial
conditions. Then we study some reductions of the density operators. For
example, reductions to electron or positron subsystems, reduction induced by
measurements, and spatial reduction to the left or to the right subsystems of
final particles. We calculate von Neumann entropy for the corresponding reduced
density operators, estimating in such a way an information loss. Then we
illustrate the obtained results by calculations in a specific background of a
strong constant electric field between two infinite capacitor plates separated
by a finite distance $L$.
|
[
{
"created": "Fri, 4 Jan 2019 17:19:12 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Jun 2019 15:00:54 GMT",
"version": "v2"
}
] |
2019-06-25
|
[
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Shishmarev",
"A. A.",
""
]
] |
Evolution of charged quantum fields under the action of constant nonuniform electric fields is studied. To this end we construct a special generating functional for density operators of the quantum fields with different initial conditions. Then we study some reductions of the density operators. For example, reductions to electron or positron subsystems, reduction induced by measurements, and spatial reduction to the left or to the right subsystems of final particles. We calculate von Neumann entropy for the corresponding reduced density operators, estimating in such a way an information loss. Then we illustrate the obtained results by calculations in a specific background of a strong constant electric field between two infinite capacitor plates separated by a finite distance $L$.
| 15.299807 | 13.514554 | 14.855646 | 12.645755 | 13.743414 | 13.489155 | 13.770466 | 12.512651 | 13.803893 | 15.265046 | 14.963409 | 14.005656 | 15.422809 | 14.707503 | 14.345084 | 14.283861 | 14.963321 | 14.292838 | 14.732811 | 15.354075 | 15.019927 |
hep-th/9403167
| null |
A. de Souza Dutra and Marcelo Hott
|
Quantization of Maxwell-Chern-Simons-Podolsky Theory
|
14 pages, UR1348, ER40685-796
| null | null | null |
hep-th
| null |
We quantize a generalized electromagnetism in 2 + 1 dimensions which contains
a higher-order derivative term by using Dirac's method. By introducing
auxiliary fields we transform the original theory in a lower-order derivative
one which can be treated in a usual way.
|
[
{
"created": "Mon, 28 Mar 1994 16:02:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dutra",
"A. de Souza",
""
],
[
"Hott",
"Marcelo",
""
]
] |
We quantize a generalized electromagnetism in 2 + 1 dimensions which contains a higher-order derivative term by using Dirac's method. By introducing auxiliary fields we transform the original theory in a lower-order derivative one which can be treated in a usual way.
| 11.364083 | 9.094643 | 9.225686 | 8.335879 | 8.583323 | 8.707227 | 8.433388 | 8.263309 | 8.132787 | 9.963752 | 8.751578 | 8.809873 | 10.079943 | 9.452628 | 9.008203 | 9.059855 | 8.598561 | 9.189922 | 9.240909 | 10.040484 | 9.214255 |
1807.02838
|
Edilberto Oliveira Silva
|
Edilberto O. Silva
|
Ground state of a bosonic massive charged particle in the presence of
external fields in a G\"odel-type spacetime
|
6 pages, 6 figures
|
Eur. Phys. J. Plus (2018) 133: 530
|
10.1140/epjp/i2018-12356-7
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/publicdomain/zero/1.0/
|
The relativistic quantum dynamics of a spinless charged particle interacting
with both Aharonov-Bohm and Coulomb-type potentials in the G\"odel-type
spacetime is considered. The dynamics of the system is governed by the
Klein-Gordon equation with interactions. We verify that it is possible to
establish a quantum condition between the energy of the particle and the
parameter that characterizes the vorticist of the spacetime. We rigorously
analyze the ground state of the system and determine the corresponding wave
functions to it.
|
[
{
"created": "Sun, 8 Jul 2018 15:22:17 GMT",
"version": "v1"
}
] |
2019-07-09
|
[
[
"Silva",
"Edilberto O.",
""
]
] |
The relativistic quantum dynamics of a spinless charged particle interacting with both Aharonov-Bohm and Coulomb-type potentials in the G\"odel-type spacetime is considered. The dynamics of the system is governed by the Klein-Gordon equation with interactions. We verify that it is possible to establish a quantum condition between the energy of the particle and the parameter that characterizes the vorticist of the spacetime. We rigorously analyze the ground state of the system and determine the corresponding wave functions to it.
| 9.427286 | 8.486866 | 8.015539 | 7.675178 | 8.90317 | 8.491525 | 8.880272 | 7.658698 | 7.665104 | 8.824156 | 8.555893 | 8.811133 | 8.742596 | 8.780302 | 8.706712 | 8.588823 | 8.743615 | 8.599414 | 8.419781 | 8.789577 | 8.568051 |
2305.08913
|
Adrien Fiorucci
|
Adrien Fiorucci, Daniel Grumiller, Romain Ruzziconi
|
Logarithmic Celestial Conformal Field Theory
|
7 pages
|
Physical Review D 109 (2024) 02, L021902
|
10.1103/PhysRevD.109.L021902
|
TUW-23-02
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We argue that the celestial conformal field theory exhibits patterns of a
logarithmic conformal field theory. We uncover a Jordan block structure
involving the celestial stress tensor and its logarithmic partner, a composite
operator built from the stress tensor and the Liouville field. Using a limiting
process whose parameter corresponds to the infrared cut-off of gravity, we
perform some basic consistency checks, particularly the calculation of
two-point correlators, which reveals the expected logarithmic behavior. We
comment on the vanishing value of the central charge in the celestial conformal
field theory and explain how the logarithmic partner is relevant for its
well-behavedness.
|
[
{
"created": "Mon, 15 May 2023 18:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jan 2024 12:55:11 GMT",
"version": "v2"
}
] |
2024-01-26
|
[
[
"Fiorucci",
"Adrien",
""
],
[
"Grumiller",
"Daniel",
""
],
[
"Ruzziconi",
"Romain",
""
]
] |
We argue that the celestial conformal field theory exhibits patterns of a logarithmic conformal field theory. We uncover a Jordan block structure involving the celestial stress tensor and its logarithmic partner, a composite operator built from the stress tensor and the Liouville field. Using a limiting process whose parameter corresponds to the infrared cut-off of gravity, we perform some basic consistency checks, particularly the calculation of two-point correlators, which reveals the expected logarithmic behavior. We comment on the vanishing value of the central charge in the celestial conformal field theory and explain how the logarithmic partner is relevant for its well-behavedness.
| 12.002687 | 11.927505 | 12.837246 | 10.715859 | 12.09331 | 11.151301 | 11.01728 | 10.212503 | 10.578134 | 13.686301 | 10.45657 | 10.584087 | 11.71796 | 10.679071 | 10.512947 | 10.51525 | 10.563314 | 10.807429 | 10.262197 | 11.525866 | 10.235889 |
1012.5453
|
Fang-Fang Yuan
|
Yong-Chang Huang, Fang-Fang Yuan
|
Hidden conformal symmetry of extremal Kaluza-Klein black hole in four
dimensions
| null |
JHEP 1103:029,2011
|
10.1007/JHEP03(2011)029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the hidden conformal symmetry of four-dimensional extremal
Kaluza-Klein black hole. The scalar Laplacian corresponding to the radial
equation in the near-region is rewritten in terms of the $SL(2,\mathbb R)$
quadratic Casimir. Using the first law of black hole thermodynamics, this
symmetry enables us to obtain the conjugate charges for the CFT side. The
real-time correlators are also found to agree with the CFT expectations.
|
[
{
"created": "Sat, 25 Dec 2010 04:55:03 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 2011 14:15:25 GMT",
"version": "v2"
}
] |
2011-03-14
|
[
[
"Huang",
"Yong-Chang",
""
],
[
"Yuan",
"Fang-Fang",
""
]
] |
We study the hidden conformal symmetry of four-dimensional extremal Kaluza-Klein black hole. The scalar Laplacian corresponding to the radial equation in the near-region is rewritten in terms of the $SL(2,\mathbb R)$ quadratic Casimir. Using the first law of black hole thermodynamics, this symmetry enables us to obtain the conjugate charges for the CFT side. The real-time correlators are also found to agree with the CFT expectations.
| 10.108707 | 6.916821 | 9.661507 | 7.424151 | 7.731457 | 7.420377 | 7.742105 | 7.056467 | 7.188133 | 9.403531 | 7.349105 | 8.196733 | 9.431328 | 8.131951 | 8.117049 | 8.567111 | 8.55245 | 8.039495 | 8.310413 | 9.16425 | 7.959496 |
hep-th/0702101
|
Matthias Schmid
|
Matthias Schmid and Mikhail Shaposhnikov
|
Anomalous Abelian solitons
|
32 pages, 17 figures, REVTeX4; v2: appendix added, published version
|
Nucl.Phys.B775:365-389,2007
|
10.1016/j.nuclphysb.2007.03.012
| null |
hep-th hep-ph
| null |
The chiral Abelian Higgs model contains an interesting class of solitons
found by Rubakov and Tavkhelidze. These objects carry non-zero fermion number
$N_F$ (or Chern-Simons number $N_{CS}$, what is the same because of the chiral
anomaly) and are stable for sufficiently large $N_F$. In this paper we study
the properties of these anomalous solitons. We find that their
energy-versus-fermion-number ratio is given by $E\sim N_{CS}^{3/4}$ or $E\sim
N_{CS}^{2/3}$ depending on the structure of the scalar potential. For the
former case we demonstrate that there is a lower bound on the soliton energy,
which reads $E\geq c N_{CS}^{3/4}$, where $c$ is some parameter expressed
through the masses and coupling constants of the theory. We construct the
anomalous solitons numerically accounting both for Higgs and gauge dynamics and
show that they are not spherically symmetric. The thin wall approximation valid
for macroscopic solutions with $N_{CS} \gg 1$ is discussed as well.
|
[
{
"created": "Tue, 13 Feb 2007 19:16:03 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Jun 2007 16:34:31 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Schmid",
"Matthias",
""
],
[
"Shaposhnikov",
"Mikhail",
""
]
] |
The chiral Abelian Higgs model contains an interesting class of solitons found by Rubakov and Tavkhelidze. These objects carry non-zero fermion number $N_F$ (or Chern-Simons number $N_{CS}$, what is the same because of the chiral anomaly) and are stable for sufficiently large $N_F$. In this paper we study the properties of these anomalous solitons. We find that their energy-versus-fermion-number ratio is given by $E\sim N_{CS}^{3/4}$ or $E\sim N_{CS}^{2/3}$ depending on the structure of the scalar potential. For the former case we demonstrate that there is a lower bound on the soliton energy, which reads $E\geq c N_{CS}^{3/4}$, where $c$ is some parameter expressed through the masses and coupling constants of the theory. We construct the anomalous solitons numerically accounting both for Higgs and gauge dynamics and show that they are not spherically symmetric. The thin wall approximation valid for macroscopic solutions with $N_{CS} \gg 1$ is discussed as well.
| 5.093968 | 5.755907 | 5.255724 | 5.144592 | 5.547625 | 5.594724 | 5.561118 | 5.355568 | 5.374133 | 5.553067 | 5.191108 | 5.19909 | 5.275778 | 5.118134 | 5.166203 | 5.352771 | 5.231265 | 5.176804 | 5.074641 | 5.240645 | 5.154373 |
2001.10170
|
Xing Huang
|
Xing Huang
|
A note on the kinematic space associated with a subregion
|
28 pages, 7 figures. v2: minor clarifications and references added,
typos fixed
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the issue in constructing the kinematic space of the geodesics
lying partially inside the entanglement wedge associated with a single
interval. We then resolve the problem by working with the equivalent kinematic
space of the reflected geodesics. We also show that the length of a reflected
geodesic corresponds to the (generalized) reflected entropy, which can be
computed using entirely the information obtained from the reduced density
matrix, satisfying the requirement of the subregion-subregion duality.
|
[
{
"created": "Tue, 28 Jan 2020 05:03:57 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Feb 2020 06:41:14 GMT",
"version": "v2"
}
] |
2020-02-25
|
[
[
"Huang",
"Xing",
""
]
] |
We discuss the issue in constructing the kinematic space of the geodesics lying partially inside the entanglement wedge associated with a single interval. We then resolve the problem by working with the equivalent kinematic space of the reflected geodesics. We also show that the length of a reflected geodesic corresponds to the (generalized) reflected entropy, which can be computed using entirely the information obtained from the reduced density matrix, satisfying the requirement of the subregion-subregion duality.
| 13.450891 | 11.31725 | 13.588454 | 11.17022 | 12.264488 | 11.477365 | 11.965943 | 10.822841 | 10.636596 | 13.507339 | 11.485785 | 12.232158 | 12.710138 | 12.196117 | 12.023108 | 12.155114 | 12.693896 | 12.107914 | 12.17484 | 12.322916 | 12.24176 |
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