id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1605.05911 | Euro Spallucci | Euro Spallucci and Anais Smailagic | A particle-like description of Planckian black holes | 22 pages, 8 Figures. Draft of the invited contribution to the book:
"Quantum Gravity: Theory and Research" Nova Science Publishers, Inc | "Quantum Gravity: Theory and Research", Ed.: B. Mitchell, Nova
Science Pub. Inc. (2017), ISBN: 978-1-53610-798-2 | null | null | hep-th gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we abandon the idea that even a "quantum" black hole, of Planck
size, can still be described as a classical, more or less complicated,
geometry. Rather, we consider a genuine quantum mechanical approach where a
Planckian black hole is, by all means, just another "particle", even if with a
distinguishing property: its linear size increases with the energy. The horizon
dynamics is equivalently described in terms of a particle moving in
gravitational potential derived from the horizon equation itself in a
self-consistent manner. The particle turning-points match the radius of the
inner and outer horizons of a charged black hole. This classical model pave the
way towards the wave equation for a truly quantum black hole. We compute the
exact form of the wave function and determine the energy spectrum. Finally, we
describe the classical limit in which the quantum picture correctly approaches
the classical geometric formulation. We find that the quantum-to-classical
transition occurs far above the Planck scale.
| [
{
"created": "Thu, 19 May 2016 12:20:36 GMT",
"version": "v1"
}
] | 2017-05-26 | [
[
"Spallucci",
"Euro",
""
],
[
"Smailagic",
"Anais",
""
]
] | In this paper we abandon the idea that even a "quantum" black hole, of Planck size, can still be described as a classical, more or less complicated, geometry. Rather, we consider a genuine quantum mechanical approach where a Planckian black hole is, by all means, just another "particle", even if with a distinguishing property: its linear size increases with the energy. The horizon dynamics is equivalently described in terms of a particle moving in gravitational potential derived from the horizon equation itself in a self-consistent manner. The particle turning-points match the radius of the inner and outer horizons of a charged black hole. This classical model pave the way towards the wave equation for a truly quantum black hole. We compute the exact form of the wave function and determine the energy spectrum. Finally, we describe the classical limit in which the quantum picture correctly approaches the classical geometric formulation. We find that the quantum-to-classical transition occurs far above the Planck scale. |
1507.05377 | Sergei Kuzenko | Sergei M. Kuzenko and Igor B. Samsonov | On superconformal Chern-Simons-matter theories in N=4 superspace | 22 pages | Phys. Rev. D 92, 105007 (2015) | 10.1103/PhysRevD.92.105007 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In three dimensions, every known N=4 supermultiplet has an off-shell
completion. However, there is no off-shell N=4 formulation for the known
extended superconformal Chern-Simons (CS) theories with eight and more
supercharges. To achieve a better understanding of this issue, we provide N=4
superfield realisations for the equations of motion which correspond to various
N=4 and N=6 superconformal CS theories, including the Gaiotto-Witten theory and
the ABJM theory. These superfield realisations demonstrate that the
superconformal CS theories with N>3 (except for the Gaiotto-Witten theory)
require a reducible long N=4 vector multiplet, from which the standard left and
right N=4 vector multiplets are obtained by constraining the field strength to
be either self-dual or anti self-dual. Such a long multiplet naturally
originates upon reduction of any off-shell N>4 vector multiplet to N=4
superspace. For the long N=4 vector multiplet we develop a prepotential
formulation. It makes use of two prepotentials being subject to the constraint
which defines the so-called hybrid projective multiplets introduced in the
framework of N=4 supergravity-matter systems in arXiv:1101.4013. We also couple
N=4 superconformal CS theories to N=4 conformal supergravity.
| [
{
"created": "Mon, 20 Jul 2015 03:31:09 GMT",
"version": "v1"
}
] | 2015-11-11 | [
[
"Kuzenko",
"Sergei M.",
""
],
[
"Samsonov",
"Igor B.",
""
]
] | In three dimensions, every known N=4 supermultiplet has an off-shell completion. However, there is no off-shell N=4 formulation for the known extended superconformal Chern-Simons (CS) theories with eight and more supercharges. To achieve a better understanding of this issue, we provide N=4 superfield realisations for the equations of motion which correspond to various N=4 and N=6 superconformal CS theories, including the Gaiotto-Witten theory and the ABJM theory. These superfield realisations demonstrate that the superconformal CS theories with N>3 (except for the Gaiotto-Witten theory) require a reducible long N=4 vector multiplet, from which the standard left and right N=4 vector multiplets are obtained by constraining the field strength to be either self-dual or anti self-dual. Such a long multiplet naturally originates upon reduction of any off-shell N>4 vector multiplet to N=4 superspace. For the long N=4 vector multiplet we develop a prepotential formulation. It makes use of two prepotentials being subject to the constraint which defines the so-called hybrid projective multiplets introduced in the framework of N=4 supergravity-matter systems in arXiv:1101.4013. We also couple N=4 superconformal CS theories to N=4 conformal supergravity. |
1506.07323 | Roy Ben-Israel | Roy Ben-Israel, Amit Giveon, Nissan Itzhaki, Lior Liram | Stringy Horizons and UV/IR Mixing | null | null | 10.1007/JHEP11(2015)164 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The target-space interpretation of the exact (in $\alpha'$) reflection
coefficient for scattering from Euclidean black-hole horizons in classical
string theory is studied. For concreteness, we focus on the solvable $SL(2,
\mathbb{R})_k/U(1)$ black hole. It is shown that it exhibits a fascinating
UV/IR mixing, dramatically modifying the late-time behavior of general
relativity. We speculate that this might play an important role in the
black-hole information puzzle, as well as in clarifying features related with
the non-locality of Little String Theory.
| [
{
"created": "Wed, 24 Jun 2015 11:18:36 GMT",
"version": "v1"
}
] | 2016-01-27 | [
[
"Ben-Israel",
"Roy",
""
],
[
"Giveon",
"Amit",
""
],
[
"Itzhaki",
"Nissan",
""
],
[
"Liram",
"Lior",
""
]
] | The target-space interpretation of the exact (in $\alpha'$) reflection coefficient for scattering from Euclidean black-hole horizons in classical string theory is studied. For concreteness, we focus on the solvable $SL(2, \mathbb{R})_k/U(1)$ black hole. It is shown that it exhibits a fascinating UV/IR mixing, dramatically modifying the late-time behavior of general relativity. We speculate that this might play an important role in the black-hole information puzzle, as well as in clarifying features related with the non-locality of Little String Theory. |
1904.07859 | \"Ozlem Ye\c{s}ilta\c{s} | Ozlem Yesiltas | Dirac Equation In The Curved Spacetime and Generalized Uncertainty
Principle: A fundamental quantum mechanical approach with energy dependent
potentials | null | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we have obtained the solutions of the (1 + 1) dimensional Dirac
equation on a gravitational background within the generalized uncertainty
principle. We have shown that how minimal length parameters effect the Dirac
particle in a spacetime described by conformally flat metric. Also,
supersymmetric quantum mechanics is used both to factorize the Dirac
Hamiltonians and obtain new metric functions. Finally, it is observed that the
energy dependent potentials may be extended to the energy dependent metric
functions.
| [
{
"created": "Tue, 16 Apr 2019 08:01:44 GMT",
"version": "v1"
}
] | 2019-04-18 | [
[
"Yesiltas",
"Ozlem",
""
]
] | In this work, we have obtained the solutions of the (1 + 1) dimensional Dirac equation on a gravitational background within the generalized uncertainty principle. We have shown that how minimal length parameters effect the Dirac particle in a spacetime described by conformally flat metric. Also, supersymmetric quantum mechanics is used both to factorize the Dirac Hamiltonians and obtain new metric functions. Finally, it is observed that the energy dependent potentials may be extended to the energy dependent metric functions. |
hep-th/0610265 | Tsutomu Kobayashi | Tsutomu Kobayashi, Masato Minamitsuji | Scalar cosmological perturbations in the Gauss-Bonnet braneworld | 18 pages, v2: minor changes, reference added, v3: comments and
references added, accepted for publication in JCAP | JCAP0612:008,2006 | 10.1088/1475-7516/2006/12/008 | YITP-06-55 | hep-th astro-ph gr-qc | null | We study scalar cosmological perturbations in a braneworld model with a bulk
Gauss-Bonnet term. For an anti-de Sitter bulk, the five-dimensional
perturbation equations share the same form as in the Randall-Sundrum model,
which allows us to obtain metric perturbations in terms of a master variable.
We derive the boundary conditions for the master variable from the generalized
junction conditions on the brane. We then investigate several limiting cases in
which the junction equations are reduced to a feasible level. In the low energy
limit, we confirm that the standard result of four-dimensional Einstein gravity
is reproduced on large scales, whereas on small scales we find that the
perturbation dynamics is described by the four-dimensional Brans-Dicke theory.
In the high energy limit, all the non-local contributions drop off from the
junction equations, leaving a closed system of equations on the brane. We show
that, for inflation models driven by a scalar field on the brane, the
Sasaki-Mukhanov equation holds on the high energy brane in its original
four-dimensional form.
| [
{
"created": "Wed, 25 Oct 2006 10:57:17 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2006 11:06:01 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Nov 2006 11:55:27 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Kobayashi",
"Tsutomu",
""
],
[
"Minamitsuji",
"Masato",
""
]
] | We study scalar cosmological perturbations in a braneworld model with a bulk Gauss-Bonnet term. For an anti-de Sitter bulk, the five-dimensional perturbation equations share the same form as in the Randall-Sundrum model, which allows us to obtain metric perturbations in terms of a master variable. We derive the boundary conditions for the master variable from the generalized junction conditions on the brane. We then investigate several limiting cases in which the junction equations are reduced to a feasible level. In the low energy limit, we confirm that the standard result of four-dimensional Einstein gravity is reproduced on large scales, whereas on small scales we find that the perturbation dynamics is described by the four-dimensional Brans-Dicke theory. In the high energy limit, all the non-local contributions drop off from the junction equations, leaving a closed system of equations on the brane. We show that, for inflation models driven by a scalar field on the brane, the Sasaki-Mukhanov equation holds on the high energy brane in its original four-dimensional form. |
hep-th/0007080 | J. M. C. Malbouisson | M. Gomes (1), J. M. C. Malbouisson (2), A. G. Rodrigues (1), A. J. da
Silva (1) ((1) Univ. Sao Paulo, (2) Univ. Fed. Bahia) | Relativistic scalar Aharonov-Bohm scattering | 15 pages, Revtex | J.Phys.A33:5521-5530,2000 | 10.1088/0305-4470/33/31/307 | null | hep-th | null | We discuss the scattering of relativistic spin zero particles by an
infinitely long and arbitrarily thin solenoid. The exact solution of the
first-quantized problem can be obtained as a mimic of the nonrelativistic case,
either in the original Aharonov-Bohm way or by using the Berry's magnetization
scheme. The perturbative treatment is developed in the Feshbach-Villars
two-component formalism for the Klein-Gordon equation and it is shown that it
also requires renormalization as in the Schrodinger counterpart. The results
are compared with those of the field theoretical approach which corresponds to
the two-body sector of the scalar Chern-Simons theory.
| [
{
"created": "Mon, 10 Jul 2000 13:27:24 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gomes",
"M.",
"",
"Univ. Sao Paulo"
],
[
"Malbouisson",
"J. M. C.",
"",
"Univ. Fed. Bahia"
],
[
"Rodrigues",
"A. G.",
"",
"Univ. Sao Paulo"
],
[
"da Silva",
"A. J.",
"",
"Univ. Sao Paulo"
]
] | We discuss the scattering of relativistic spin zero particles by an infinitely long and arbitrarily thin solenoid. The exact solution of the first-quantized problem can be obtained as a mimic of the nonrelativistic case, either in the original Aharonov-Bohm way or by using the Berry's magnetization scheme. The perturbative treatment is developed in the Feshbach-Villars two-component formalism for the Klein-Gordon equation and it is shown that it also requires renormalization as in the Schrodinger counterpart. The results are compared with those of the field theoretical approach which corresponds to the two-body sector of the scalar Chern-Simons theory. |
2311.08462 | Guglielmo Lockhart | Michele Del Zotto and Guglielmo Lockhart | The ALE Partition Functions of M-String Orbifolds | 69 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The ALE partition functions of a 6d (1,0) SCFT are interesting observables
which are able to detect the global structure of the SCFT. They are defined to
be the equivariant partition functions of the SCFT on a background with the
topology of a two-dimensional torus times an ALE singularity. In this work, we
compute the ALE partition functions of M-string orbifold SCFTs, extending our
previous results for the M-string SCFTs. Via geometric engineering, our results
about ALE partition functions are connected to the theory of higher-rank
Donaldson-Thomas invariants for resolutions of elliptic Calabi-Yau threefold
singularities. We predict that their generating functions satisfy interesting
modular properties. The partition functions receive contributions from BPS
strings probing the ALE singularity, whose worldsheet theories we determine via
a chain of string dualities. For this class of backgrounds the BPS strings'
worldsheet theories become relative field theories that are sensitive to
discrete data generalizing to 6d the familiar choices of flat connections at
infinity for instantons on ALE spaces. A novel feature we observe in the case
of M-string orbifold SCFTs, which does not arise for the M-string SCFT, is the
existence of frozen BPS strings which are pinned at the orbifold singularity
and carry fractional instanton charge with respect to the 6d gauge fields.
| [
{
"created": "Tue, 14 Nov 2023 19:00:05 GMT",
"version": "v1"
}
] | 2023-11-16 | [
[
"Del Zotto",
"Michele",
""
],
[
"Lockhart",
"Guglielmo",
""
]
] | The ALE partition functions of a 6d (1,0) SCFT are interesting observables which are able to detect the global structure of the SCFT. They are defined to be the equivariant partition functions of the SCFT on a background with the topology of a two-dimensional torus times an ALE singularity. In this work, we compute the ALE partition functions of M-string orbifold SCFTs, extending our previous results for the M-string SCFTs. Via geometric engineering, our results about ALE partition functions are connected to the theory of higher-rank Donaldson-Thomas invariants for resolutions of elliptic Calabi-Yau threefold singularities. We predict that their generating functions satisfy interesting modular properties. The partition functions receive contributions from BPS strings probing the ALE singularity, whose worldsheet theories we determine via a chain of string dualities. For this class of backgrounds the BPS strings' worldsheet theories become relative field theories that are sensitive to discrete data generalizing to 6d the familiar choices of flat connections at infinity for instantons on ALE spaces. A novel feature we observe in the case of M-string orbifold SCFTs, which does not arise for the M-string SCFT, is the existence of frozen BPS strings which are pinned at the orbifold singularity and carry fractional instanton charge with respect to the 6d gauge fields. |
0908.3126 | Edward Corrigan | E. Corrigan and C. Zambon | A new class of integrable defects | 24 pages | J.Phys.A42:475203,2009 | 10.1088/1751-8113/42/47/475203 | null | hep-th nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An alternative Lagrangian definition of an integrable defect is provided and
analyzed. The new approach is sufficiently broad to allow a description of
defects within the Tzitzeica model, which was not possible in previous
approaches, and may be generalizable. New, two-parameter, sine-Gordon defects
are also described, which have characteristics resembling a pair of 'fused'
defects of a previously considered type. The relationship between these defects
and Backlund transformations is described and a Hamiltonian description of
integrable defects is proposed.
| [
{
"created": "Fri, 21 Aug 2009 13:27:52 GMT",
"version": "v1"
}
] | 2009-11-18 | [
[
"Corrigan",
"E.",
""
],
[
"Zambon",
"C.",
""
]
] | An alternative Lagrangian definition of an integrable defect is provided and analyzed. The new approach is sufficiently broad to allow a description of defects within the Tzitzeica model, which was not possible in previous approaches, and may be generalizable. New, two-parameter, sine-Gordon defects are also described, which have characteristics resembling a pair of 'fused' defects of a previously considered type. The relationship between these defects and Backlund transformations is described and a Hamiltonian description of integrable defects is proposed. |
hep-th/9611101 | Konstantin Selivanov | A.A. Rosly, K.G. Selivanov | On amplitudes in self-dual sector of Yang-Mills theory | 9 pages, Latex, a misguided reference is corrected, ps is also
available at http://wwwtheor.itep.ru/preprints/1996/ | Phys.Lett. B399 (1997) 135-140 | 10.1016/S0370-2693(97)00268-2 | ITEP-TH-96-50 | hep-th hep-ph | null | Self-dual perturbiner in the Yang-Mills theory is constructed by the twistor
methods both in topologically trivial and topologically nontrivial cases.
Maximally helicity violating amplitudes and their instanton induced analogies
are briefly discussed.
| [
{
"created": "Wed, 13 Nov 1996 22:11:04 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Nov 1996 13:46:21 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Rosly",
"A. A.",
""
],
[
"Selivanov",
"K. G.",
""
]
] | Self-dual perturbiner in the Yang-Mills theory is constructed by the twistor methods both in topologically trivial and topologically nontrivial cases. Maximally helicity violating amplitudes and their instanton induced analogies are briefly discussed. |
hep-th/0008215 | DaeKil Park | D.K. Park, H. J. W. M\"uller-Kirsten | Universality or Non--Universality of Absorption Cross Sections for
Extended Objects | 10 pages, 2 figures | Phys.Lett. B492 (2000) 135-139 | 10.1016/S0370-2693(00)01077-7 | null | hep-th | null | The calculation of absorption cross sections for minimal scalars in
supergravity backgrounds is an important aspect of the investigation of AdS/CFT
correspondence and requires a matching of appropriate wave functions. The low
energy case has attracted particular attention. In the following the dependence
of the cross section on the matching point is investigated. It is shown that
the low energy limit is independent of the matching point and hence exhibits
universality. In the high energy limit the independence is not maintained, but
the result is believed to possess the correct energy dependence.
| [
{
"created": "Tue, 29 Aug 2000 15:45:45 GMT",
"version": "v1"
}
] | 2016-08-15 | [
[
"Park",
"D. K.",
""
],
[
"Müller-Kirsten",
"H. J. W.",
""
]
] | The calculation of absorption cross sections for minimal scalars in supergravity backgrounds is an important aspect of the investigation of AdS/CFT correspondence and requires a matching of appropriate wave functions. The low energy case has attracted particular attention. In the following the dependence of the cross section on the matching point is investigated. It is shown that the low energy limit is independent of the matching point and hence exhibits universality. In the high energy limit the independence is not maintained, but the result is believed to possess the correct energy dependence. |
1602.00130 | Gabi Zafrir | Gabi Zafrir | Brane webs in the presence of an $O5^-$-plane and 4d class S theories of
type D | 30 pages, 18 figures; v2 minor revision, version published in JHEP | null | 10.1007/JHEP07(2016)035 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we conjecture a relationship between 5d SCFT's, that can be
engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S
theories of type D. The specific relation is that compactification on a circle
of the former leads to the latter. We present evidence for this conjecture. One
piece of evidence, which is also an interesting application of this, is that it
suggests identifications between different class S theories. This can in turn
be tested by comparing their central charges.
| [
{
"created": "Sat, 30 Jan 2016 15:38:35 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2016 15:15:08 GMT",
"version": "v2"
}
] | 2016-08-03 | [
[
"Zafrir",
"Gabi",
""
]
] | In this article we conjecture a relationship between 5d SCFT's, that can be engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S theories of type D. The specific relation is that compactification on a circle of the former leads to the latter. We present evidence for this conjecture. One piece of evidence, which is also an interesting application of this, is that it suggests identifications between different class S theories. This can in turn be tested by comparing their central charges. |
0904.0012 | Paul Koerber | Paul Koerber | Coisotropic D-branes on AdS4 x CP3 and massive deformations | 24 pages, 1 figure, v2: due to a serious mistake the claims of the
paper had to be corrected | JHEP 0909:008,2009 | 10.1088/1126-6708/2009/09/008 | MPP-2009-35 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We scan for massive type IIA SU(3)-structure compactifications of the type
AdS4 x CP3 with internal symmetry group SO(4). This group acts on CP3 with
cohomogeneity one, so that one would expect new non-homogeneous solutions. We
find however that all such solutions enhance their symmetry group to Sp(2) and
form, in fact, the homogeneous family first described in arXiv:0712.1396. This
is in accordance with arXiv:0901.0969, which argues from the CFT-side that
although new vacua with SO(4) symmetry group and N=2 supersymmetry should
exist, they fall outside our ansatz of strict SU(3)-structure, and instead have
genuine SU(3)x SU(3)-structure. We do find that the SO(4)-invariant
description, which singles out one preferential direction in the internal
space, is well-adapted for describing the embedding of AdS4-filling
supersymmetric D8-branes on both the original ABJM configuration as its massive
Sp(2)-symmetric deformations.Supersymmetry requires these D-branes to be of the
coisotropic type, which means in particular that their world-volume gauge field
must be non-trivial.
| [
{
"created": "Wed, 1 Apr 2009 14:51:12 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jun 2009 13:43:24 GMT",
"version": "v2"
}
] | 2009-09-28 | [
[
"Koerber",
"Paul",
""
]
] | We scan for massive type IIA SU(3)-structure compactifications of the type AdS4 x CP3 with internal symmetry group SO(4). This group acts on CP3 with cohomogeneity one, so that one would expect new non-homogeneous solutions. We find however that all such solutions enhance their symmetry group to Sp(2) and form, in fact, the homogeneous family first described in arXiv:0712.1396. This is in accordance with arXiv:0901.0969, which argues from the CFT-side that although new vacua with SO(4) symmetry group and N=2 supersymmetry should exist, they fall outside our ansatz of strict SU(3)-structure, and instead have genuine SU(3)x SU(3)-structure. We do find that the SO(4)-invariant description, which singles out one preferential direction in the internal space, is well-adapted for describing the embedding of AdS4-filling supersymmetric D8-branes on both the original ABJM configuration as its massive Sp(2)-symmetric deformations.Supersymmetry requires these D-branes to be of the coisotropic type, which means in particular that their world-volume gauge field must be non-trivial. |
0705.3511 | Joseph C. V\'arilly | Victor Gayral, Jose M. Gracia-Bondia and Joseph C. Varilly | Fourier analysis on the affine group, quantization and noncompact Connes
geometries | 37 pages, Latex, uses TikZ package to draw 3 figures. Two new
subsections, main results unchanged | J.Noncommut.Geom.2:215-261, 2008 | 10.4171/JNCG/20 | null | hep-th math.RT | null | We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of
the line. A noncommutative product of functions on the half-plane, underlying a
noncompact spectral triple in the sense of Connes, is obtained from it. The
corresponding Wigner functions reproduce the time-frequency distributions of
signal processing. The same construction leads to scalar Fourier
transformations on the affine group, simplifying and extending the Fourier
transformation proposed by Kirillov.
| [
{
"created": "Thu, 24 May 2007 06:08:13 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2007 01:33:54 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Feb 2008 17:38:40 GMT",
"version": "v3"
}
] | 2010-11-19 | [
[
"Gayral",
"Victor",
""
],
[
"Gracia-Bondia",
"Jose M.",
""
],
[
"Varilly",
"Joseph C.",
""
]
] | We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of the line. A noncommutative product of functions on the half-plane, underlying a noncompact spectral triple in the sense of Connes, is obtained from it. The corresponding Wigner functions reproduce the time-frequency distributions of signal processing. The same construction leads to scalar Fourier transformations on the affine group, simplifying and extending the Fourier transformation proposed by Kirillov. |
0809.4148 | Papantonopoulos Eleftherios | Eleftherios Papantonopoulos | Black Holes and Black String-like Solutions in Codimension-2 Braneworlds | 9 pages, no figures, plenary talk given at the 7th Friedmann
International Seminar on Gravitation and Cosmology, 29 June-5 July 2008, Joao
Pessoa, Brazil, to appear in the proceedings | Int.J.Mod.Phys.A24:1489-1496,2009 | 10.1142/S0217751X09044863 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We discuss black hole solutions with a Gauss-Bonnet term in the bulk and an
induced gravity term on a thin brane of codimension-2. We show that these black
holes can be localized on the brane, and they can be extended further into the
bulk by a warp function. These solutions have regular horizons and no other
curvature singularities appear apart from the string-like ones. The projection
of the Gauss-Bonnet term on the brane imposes a constraint relation which
dictates the form of matter on the brane and in the bulk.
| [
{
"created": "Wed, 24 Sep 2008 10:35:05 GMT",
"version": "v1"
}
] | 2009-04-24 | [
[
"Papantonopoulos",
"Eleftherios",
""
]
] | We discuss black hole solutions with a Gauss-Bonnet term in the bulk and an induced gravity term on a thin brane of codimension-2. We show that these black holes can be localized on the brane, and they can be extended further into the bulk by a warp function. These solutions have regular horizons and no other curvature singularities appear apart from the string-like ones. The projection of the Gauss-Bonnet term on the brane imposes a constraint relation which dictates the form of matter on the brane and in the bulk. |
1003.5152 | Anzhong Wang | Anzhong Wang | $f(R)$ theory and geometric origin of the dark sector in Horava-Lifshitz
gravity | Mod. Phys. Lett. A26, 387-398 (2011) | Mod.Phys.Lett.A26:387-398,2011 | 10.1142/S0217732311034980 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inclusion of $f(R)$ term in the action of Horava-Lifshitz quantum gravity
with projectability but without detailed balance condition is investigated,
where $R$ denotes the 3-spatial dimensional Ricci scalar. Conditions for the
spin-0 graviton to be free of ghosts and instability are studied. The
requirement that the theory reduce to general relativity in the IR makes the
scalar mode unstable in the Minkowski background but stable in the de Sitter.
It is remarkable that the dark sector, dark matter and dark energy, of the
universe has a naturally geometric origin in such a setup. Bouncing universes
can also be constructed. Scalar perturbations in the FRW backgrounds with
non-zero curvature are presented.
| [
{
"created": "Fri, 26 Mar 2010 14:54:01 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Dec 2010 03:15:26 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Feb 2011 04:05:31 GMT",
"version": "v3"
}
] | 2011-03-02 | [
[
"Wang",
"Anzhong",
""
]
] | Inclusion of $f(R)$ term in the action of Horava-Lifshitz quantum gravity with projectability but without detailed balance condition is investigated, where $R$ denotes the 3-spatial dimensional Ricci scalar. Conditions for the spin-0 graviton to be free of ghosts and instability are studied. The requirement that the theory reduce to general relativity in the IR makes the scalar mode unstable in the Minkowski background but stable in the de Sitter. It is remarkable that the dark sector, dark matter and dark energy, of the universe has a naturally geometric origin in such a setup. Bouncing universes can also be constructed. Scalar perturbations in the FRW backgrounds with non-zero curvature are presented. |
0910.0180 | Stephan Stieberger | S. Stieberger | On tree-level higher order gravitational couplings in superstring theory | 4 pages, RevTeX 4.1; v2: Results and discussion extended by the order
alpha'^8. Again, no even zeta values occur at this order excluding curvature
contact terms with MZV coefficients zeta(8), zeta(2) zeta(3)^2 and zeta(5,3),
respectively; v3: streamlined and final version to appear in Physical Review
Letters | Phys.Rev.Lett.106:111601,2011 | 10.1103/PhysRevLett.106.111601 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the scattering amplitudes of five and six gravitons at tree-level
in superstring theory. Their power series expansions in the Regge slope alpha'
are analyzed through the order alpha'^8 showing some interesting constraints on
higher order gravitational couplings in the effective superstring action like
the absence of R^5 terms. Furthermore, some transcendentality constraints on
the coefficients of the non-vanishing couplings are observed: the absence of
zeta values of even weight through the order alpha'^8 like the absence of
zeta(2) zeta(3) R^6 terms. Our analysis is valid for any superstring background
in any space-time dimension, which allows for a conformal field theory
description.
| [
{
"created": "Thu, 1 Oct 2009 19:08:17 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Oct 2009 19:46:40 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Feb 2011 15:47:46 GMT",
"version": "v3"
}
] | 2011-03-23 | [
[
"Stieberger",
"S.",
""
]
] | We consider the scattering amplitudes of five and six gravitons at tree-level in superstring theory. Their power series expansions in the Regge slope alpha' are analyzed through the order alpha'^8 showing some interesting constraints on higher order gravitational couplings in the effective superstring action like the absence of R^5 terms. Furthermore, some transcendentality constraints on the coefficients of the non-vanishing couplings are observed: the absence of zeta values of even weight through the order alpha'^8 like the absence of zeta(2) zeta(3) R^6 terms. Our analysis is valid for any superstring background in any space-time dimension, which allows for a conformal field theory description. |
1202.3244 | Janos Balog | Janos Balog, Arpad Hegedus | Hybrid-NLIE for the AdS/CFT spectral problem | 63 pages, 1 figure | null | 10.1007/JHEP08(2012)022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Hybrid-NLIE equations, an alternative finite NLIE description for the
spectral problem of the super sigma model of AdS/CFT and its gamma-deformations
are derived by replacing the semi-infinite SU(2) and SU(4) parts of the AdS/CFT
TBA equations by a few appropriately chosen complex NLIE variables, which are
coupled among themselves and to the Y-functions associated to the remaining
central nodes of the TBA diagram. The integral equations are written explicitly
for the ground state of the gamma-deformed system. We linearize these NLIE
equations, analytically calculate the first correction to the asymptotic
solution and find agreement with analogous results coming from the original TBA
formalism. Our equations differ substantially from the recently published
finite FiNLIE formulation of the spectral problem.
| [
{
"created": "Wed, 15 Feb 2012 09:32:20 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Balog",
"Janos",
""
],
[
"Hegedus",
"Arpad",
""
]
] | Hybrid-NLIE equations, an alternative finite NLIE description for the spectral problem of the super sigma model of AdS/CFT and its gamma-deformations are derived by replacing the semi-infinite SU(2) and SU(4) parts of the AdS/CFT TBA equations by a few appropriately chosen complex NLIE variables, which are coupled among themselves and to the Y-functions associated to the remaining central nodes of the TBA diagram. The integral equations are written explicitly for the ground state of the gamma-deformed system. We linearize these NLIE equations, analytically calculate the first correction to the asymptotic solution and find agreement with analogous results coming from the original TBA formalism. Our equations differ substantially from the recently published finite FiNLIE formulation of the spectral problem. |
1604.05400 | Nick Houston | N. Houston | Fermionic instantons | 17 pages. Typo in text corrected, two sentences clarified | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate the existence of a broad class of non-perturbative fermionic
solutions to the Euclidean supergravity equations of motion, which are half-BPS
and nonsingular, possess zero action, and obey an (anti)self-duality condition.
These are identified as fermionic instantons associated to the status of the
gravitino as the gauge field of local supersymmetry. By explicitly constructing
these configurations from combinations of (anti)self-dual Yang-Mills gauge
fields and Killing spinors, we may leverage the ADHM method and generalisations
thereof to provide all possible solutions on certain gravitational backgrounds.
As one may expect, these solutions generate and are in turn intrinsically
dependent upon spacetime torsion.
| [
{
"created": "Tue, 19 Apr 2016 01:33:32 GMT",
"version": "v1"
},
{
"created": "Tue, 3 May 2016 15:00:15 GMT",
"version": "v2"
}
] | 2016-05-04 | [
[
"Houston",
"N.",
""
]
] | We demonstrate the existence of a broad class of non-perturbative fermionic solutions to the Euclidean supergravity equations of motion, which are half-BPS and nonsingular, possess zero action, and obey an (anti)self-duality condition. These are identified as fermionic instantons associated to the status of the gravitino as the gauge field of local supersymmetry. By explicitly constructing these configurations from combinations of (anti)self-dual Yang-Mills gauge fields and Killing spinors, we may leverage the ADHM method and generalisations thereof to provide all possible solutions on certain gravitational backgrounds. As one may expect, these solutions generate and are in turn intrinsically dependent upon spacetime torsion. |
1210.3601 | Tatsuo Azeyanagi | Tatsuo Azeyanagi, Mitsutoshi Fujita and Masanori Hanada | From the planar limit to M-theory | 5 pages, v2:references added and minor corrections, v3:published
version | null | 10.1103/PhysRevLett.110.121601 | KEK-TH-1579 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The large-N limit of gauge theories has been playing a crucial role in
theoretical physics over the decades. Despite its importance, little is known
outside the planar limit where the 't Hooft coupling $\lambda=g_{YM}^2N$ is
fixed. In this Letter we consider more general large-N limit --- $\lambda$
grows with N, e.g., $g_{YM}^2$ is fixed. Such a limit is important particularly
in recent attempts to find the nonpertubative formulation of M-theory. Based on
various supporting evidence, we propose this limit is essentially identical to
the planar limit, in the sense the order of the large-N limit and the strong
coupling limit commute. For a wide class of large-N gauge theories, these two
limits are smoothly connected, and the analytic continuation from the planar
limit is justified. As simple examples, we reproduce a few properties of the
six-dimensional N=(2, 0) theory on S^1 from the five-dimensional maximal super
Yang-Mills theory, supporting the recent conjecture by Douglas and Lambert et
al. that these two theories are identical.
| [
{
"created": "Fri, 12 Oct 2012 18:56:22 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2012 20:09:14 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Apr 2013 18:03:21 GMT",
"version": "v3"
}
] | 2015-06-11 | [
[
"Azeyanagi",
"Tatsuo",
""
],
[
"Fujita",
"Mitsutoshi",
""
],
[
"Hanada",
"Masanori",
""
]
] | The large-N limit of gauge theories has been playing a crucial role in theoretical physics over the decades. Despite its importance, little is known outside the planar limit where the 't Hooft coupling $\lambda=g_{YM}^2N$ is fixed. In this Letter we consider more general large-N limit --- $\lambda$ grows with N, e.g., $g_{YM}^2$ is fixed. Such a limit is important particularly in recent attempts to find the nonpertubative formulation of M-theory. Based on various supporting evidence, we propose this limit is essentially identical to the planar limit, in the sense the order of the large-N limit and the strong coupling limit commute. For a wide class of large-N gauge theories, these two limits are smoothly connected, and the analytic continuation from the planar limit is justified. As simple examples, we reproduce a few properties of the six-dimensional N=(2, 0) theory on S^1 from the five-dimensional maximal super Yang-Mills theory, supporting the recent conjecture by Douglas and Lambert et al. that these two theories are identical. |
0910.3709 | Rodolfo Casana Rodolfo Casana | Rodolfo Casana, Manoel M. Ferreira Jr and Madson R. O. Silva | Parity-odd and CPT-even electrodynamics of the SME at Finite Temperature | null | Phys.Rev.D81:105015,2010 | 10.1103/PhysRevD.81.105015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work examines the finite temperature properties of the CPT-even and
parity-odd electrodynamics of the standard model extension. We start from the
partition function written into the functional integral formalism in Ref.
\cite{Finite}. After specializing the Lorentz-violating tensor $ W_{\alpha \nu
\rho \varphi}$ for the nonbirefringent and parity-odd coefficients, the
partition function is explicitly carry out, showing that it is a power of the
Maxwell's partition function. Also, it is observed that the LIV coefficients
induce an anisotropy in the black body angular energy density distribution. The
Planck's radiation law retains its usual frequency dependence and the
Stefan-Boltzmann law keeps the same form, except for a global proportionality
constant.
| [
{
"created": "Mon, 19 Oct 2009 21:38:50 GMT",
"version": "v1"
}
] | 2010-05-25 | [
[
"Casana",
"Rodolfo",
""
],
[
"Ferreira",
"Manoel M.",
"Jr"
],
[
"Silva",
"Madson R. O.",
""
]
] | This work examines the finite temperature properties of the CPT-even and parity-odd electrodynamics of the standard model extension. We start from the partition function written into the functional integral formalism in Ref. \cite{Finite}. After specializing the Lorentz-violating tensor $ W_{\alpha \nu \rho \varphi}$ for the nonbirefringent and parity-odd coefficients, the partition function is explicitly carry out, showing that it is a power of the Maxwell's partition function. Also, it is observed that the LIV coefficients induce an anisotropy in the black body angular energy density distribution. The Planck's radiation law retains its usual frequency dependence and the Stefan-Boltzmann law keeps the same form, except for a global proportionality constant. |
0805.2645 | Diana Vaman | Diana Vaman, York-Peng Yao | The Space-Cone Gauge, Lorentz Invariance and On-Shell Recursion for
One-Loop Yang-Mills amplitudes | 28 pages, 6 figures | null | 10.1142/9789812838667_0004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recursion relations are succinctly obtained for $(++... +)$ and $(-++... +)$
amplitudes in the context of the space-cone gauge in QCD. We rely on the
helicity symmetry of the problems to dictate our choices of reference twistors
and the momentum shifts to complexify the amplitudes. Of great importance is
the power of gauge Lorentz invariance, which is enough to determine the soft
factors in the latter cases.
| [
{
"created": "Sat, 17 May 2008 04:09:54 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Vaman",
"Diana",
""
],
[
"Yao",
"York-Peng",
""
]
] | Recursion relations are succinctly obtained for $(++... +)$ and $(-++... +)$ amplitudes in the context of the space-cone gauge in QCD. We rely on the helicity symmetry of the problems to dictate our choices of reference twistors and the momentum shifts to complexify the amplitudes. Of great importance is the power of gauge Lorentz invariance, which is enough to determine the soft factors in the latter cases. |
1708.07650 | Bernd Schroers | Prince K Osei and Bernd J Schroers | Classical r-matrices for the generalised Chern-Simons formulation of 3d
gravity | 20 pages, minor corrections and comments added in v2 | Class. Quantum Grav.35 (2018) 075006 | 10.1088/1361-6382/aaaa5e | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the conditions for classical r-matrices to be compatible with the
generalised Chern-Simons action for 3d gravity. Compatibility means solving the
classical Yang-Baxter equations with a prescribed symmetric part for each of
the real Lie algebras and bilinear pairings arising in the generalised
Chern-Simons action. We give a new construction of r-matrices via a generalised
complexification and derive a non-linear set of matrix equations determining
the most general compatible r-matrix. We exhibit new families of solutions and
show that they contain known solutions for special parameter values
| [
{
"created": "Fri, 25 Aug 2017 08:48:57 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Apr 2018 16:21:52 GMT",
"version": "v2"
}
] | 2018-04-04 | [
[
"Osei",
"Prince K",
""
],
[
"Schroers",
"Bernd J",
""
]
] | We study the conditions for classical r-matrices to be compatible with the generalised Chern-Simons action for 3d gravity. Compatibility means solving the classical Yang-Baxter equations with a prescribed symmetric part for each of the real Lie algebras and bilinear pairings arising in the generalised Chern-Simons action. We give a new construction of r-matrices via a generalised complexification and derive a non-linear set of matrix equations determining the most general compatible r-matrix. We exhibit new families of solutions and show that they contain known solutions for special parameter values |
1803.02759 | Etera R. Livine | Bianca Dittrich, Christophe Goeller, Etera R. Livine and Aldo Riello | Quasi-local holographic dualities in non-perturbative 3d quantum gravity | 13 pages | Class. Quantum Grav. 35 13LT01 (2018) | 10.1088/1361-6382/aac606 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a line of research aimed at investigating holographic dualities in
the context of three dimensional quantum gravity within finite bounded regions.
The bulk quantum geometrodynamics is provided by the Ponzano-Regge state-sum
model, which defines 3d quantum gravity as a discrete topological quantum field
theory (TQFT). This formulation provides an explicit and detailed definition of
the quantum boundary states, which allows a rich correspondence between quantum
boundary conditions and boundary theories, thereby leading to holographic
dualities between 3d quantum gravity and 2d statistical models as used in
condensed matter. After presenting the general framework, we focus on the
concrete example of the coherent twisted torus boundary, which allows for a
direct comparison with other approaches to 3d/2d holography at asymptotic
infinity. We conclude with the most interesting questions to pursue in this
framework.
| [
{
"created": "Wed, 7 Mar 2018 16:50:40 GMT",
"version": "v1"
}
] | 2018-06-22 | [
[
"Dittrich",
"Bianca",
""
],
[
"Goeller",
"Christophe",
""
],
[
"Livine",
"Etera R.",
""
],
[
"Riello",
"Aldo",
""
]
] | We present a line of research aimed at investigating holographic dualities in the context of three dimensional quantum gravity within finite bounded regions. The bulk quantum geometrodynamics is provided by the Ponzano-Regge state-sum model, which defines 3d quantum gravity as a discrete topological quantum field theory (TQFT). This formulation provides an explicit and detailed definition of the quantum boundary states, which allows a rich correspondence between quantum boundary conditions and boundary theories, thereby leading to holographic dualities between 3d quantum gravity and 2d statistical models as used in condensed matter. After presenting the general framework, we focus on the concrete example of the coherent twisted torus boundary, which allows for a direct comparison with other approaches to 3d/2d holography at asymptotic infinity. We conclude with the most interesting questions to pursue in this framework. |
1711.07363 | Jos\'e M. Figueroa-O'Farrill | Jos\'e M. Figueroa-O'Farrill | Higher-dimensional kinematical Lie algebras via deformation theory | 18 pages. (v3:final version to appear in Journal of Mathematical
Physics). arXiv admin note: text overlap with arXiv:1711.06111 | null | 10.1063/1.5016616 | EMPG-17-12 | hep-th math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify kinematical Lie algebras in dimension $D \geq 4$. This is
approached via the classification of deformations of the relevant static
kinematical Lie algebra. We also classify the deformations of the universal
central extension of the static kinematical Lie algebra in dimension $D\geq 4$.
In addition we determine which of these Lie algebras admit an invariant inner
product.
| [
{
"created": "Fri, 17 Nov 2017 10:15:11 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Mar 2018 16:18:53 GMT",
"version": "v2"
},
{
"created": "Wed, 23 May 2018 10:04:54 GMT",
"version": "v3"
}
] | 2018-07-04 | [
[
"Figueroa-O'Farrill",
"José M.",
""
]
] | We classify kinematical Lie algebras in dimension $D \geq 4$. This is approached via the classification of deformations of the relevant static kinematical Lie algebra. We also classify the deformations of the universal central extension of the static kinematical Lie algebra in dimension $D\geq 4$. In addition we determine which of these Lie algebras admit an invariant inner product. |
0801.0032 | Chiang-Mei Chen | Chiang-Mei Chen | Extremal dilatonic black holes in 4D Gauss-Bonnet gravity | 4 pages, contribution to the proceedings of the 8th Asia-Pacific
International Conference on Gravitation and Astrophysics (ICGA8) | Prog.Theor.Phys.Suppl.172:161-164,2008 | 10.1143/PTPS.172.161 | null | hep-th | null | This is a report of our recent investigation on the extremal dilatonic black
holes in four dimensional Gauss-Bonnet gravity. We found that a global solution
can exist only when the dilaton coupling is less than a critical value which
can be determined numerically. Moreover, the black hole horizon is stretched by
the Gauss-Bonnet correction and the entropy is twice the value given by
Bekenstein-Hawking formula.
| [
{
"created": "Sat, 29 Dec 2007 04:37:26 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Chen",
"Chiang-Mei",
""
]
] | This is a report of our recent investigation on the extremal dilatonic black holes in four dimensional Gauss-Bonnet gravity. We found that a global solution can exist only when the dilaton coupling is less than a critical value which can be determined numerically. Moreover, the black hole horizon is stretched by the Gauss-Bonnet correction and the entropy is twice the value given by Bekenstein-Hawking formula. |
hep-th/0410219 | Pio Arias | P.J. Arias and M. Garcia-Nustes (Caracas, U. Central) | Covariance of the selfdual vector model | Presented by M.Garcia in the 4th Congress of the Venezuelan Physical
Society, Isla de Margarita, Venezuela, 24-28 Nov 2003. In spanish. 3pp | Rev.Mex.Fis. 52S3 (2006) 95-97 | null | null | hep-th | null | The Poisson algebra between the fields involved in the vectorial selfdual
action is obtained by means of the reduced action. The conserved charges
associated with the invariance under the inhomogeneous Lorentz group are
obtained and its action on the fields. The covariance of the theory is proved
using the Schwinger-Dirac algebra. The spin of the excitations is discussed.
| [
{
"created": "Fri, 22 Oct 2004 03:21:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Arias",
"P. J.",
"",
"Caracas, U. Central"
],
[
"Garcia-Nustes",
"M.",
"",
"Caracas, U. Central"
]
] | The Poisson algebra between the fields involved in the vectorial selfdual action is obtained by means of the reduced action. The conserved charges associated with the invariance under the inhomogeneous Lorentz group are obtained and its action on the fields. The covariance of the theory is proved using the Schwinger-Dirac algebra. The spin of the excitations is discussed. |
hep-th/0106263 | Chiang-Mei Chen | Chiang-Mei Chen, T. Harko and M. K. Mak | Viscous dissipative effects in isotropic brane cosmology | 15 pages, 11 figures | Phys.Rev.D64:124017,2001 | 10.1103/PhysRevD.64.124017 | null | hep-th gr-qc | null | We consider the dynamics of a viscous cosmological fluid in the generalized
Randall-Sundrum model for an isotropic brane. To describe the dissipative
effects we use the Israel-Hiscock-Stewart full causal thermodynamic theory. In
the limiting case of a stiff cosmological fluid with pressure equal to the
energy density, the general solution of the field equations can be obtained in
an exact parametric form for a cosmological fluid with constant bulk viscosity
and with a bulk viscosity coefficient proportional to the square root of the
energy density, respectively. The obtained solutions describe generally
non-inflationary brane worlds, starting from a singular state. During this
phase of evolution the comoving entropy of the Universe is an increasing
function of time, and thus a large amount of entropy is created in the brane
world due to viscous dissipative processes.
| [
{
"created": "Thu, 28 Jun 2001 05:59:12 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Chen",
"Chiang-Mei",
""
],
[
"Harko",
"T.",
""
],
[
"Mak",
"M. K.",
""
]
] | We consider the dynamics of a viscous cosmological fluid in the generalized Randall-Sundrum model for an isotropic brane. To describe the dissipative effects we use the Israel-Hiscock-Stewart full causal thermodynamic theory. In the limiting case of a stiff cosmological fluid with pressure equal to the energy density, the general solution of the field equations can be obtained in an exact parametric form for a cosmological fluid with constant bulk viscosity and with a bulk viscosity coefficient proportional to the square root of the energy density, respectively. The obtained solutions describe generally non-inflationary brane worlds, starting from a singular state. During this phase of evolution the comoving entropy of the Universe is an increasing function of time, and thus a large amount of entropy is created in the brane world due to viscous dissipative processes. |
2310.16536 | Mariana Cristina De Lima | Mariana Lima | Spin-2 Universal Minimal Solutions on Type IIA and IIB Supergravity | null | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider the spin-2 field perturbations of four families of
supergravity solutions. These include AdS$_5$ and AdS$_7$ backgrounds of type
IIA as well as AdS$_4$ and AdS$_6$ backgrounds of Type IIB. As the main result,
we show that, in all the cases, there is a solution given by a combination of
the warp factors. We also find the respective mass spectra. We analyze the
normalizability of the solutions and identify the superconformal multiplets
dual to them.
| [
{
"created": "Wed, 25 Oct 2023 10:34:18 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Nov 2023 20:32:13 GMT",
"version": "v2"
}
] | 2024-07-09 | [
[
"Lima",
"Mariana",
""
]
] | In this paper, we consider the spin-2 field perturbations of four families of supergravity solutions. These include AdS$_5$ and AdS$_7$ backgrounds of type IIA as well as AdS$_4$ and AdS$_6$ backgrounds of Type IIB. As the main result, we show that, in all the cases, there is a solution given by a combination of the warp factors. We also find the respective mass spectra. We analyze the normalizability of the solutions and identify the superconformal multiplets dual to them. |
1002.4580 | Toshiaki Fujimori | Toshiaki Fujimori, Giacomo Marmorini, Muneto Nitta, Keisuke Ohashi,
Norisuke Sakai | The Moduli Space Metric for Well-Separated Non-Abelian Vortices | 31 pages | Phys.Rev.D82:065005,2010 | 10.1103/PhysRevD.82.065005 | null | hep-th hep-ph math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The moduli space metric and its Kahler potential for well-separated
non-Abelian vortices are obtained in U(N) gauge theories with N Higgs fields in
the fundamental representation.
| [
{
"created": "Wed, 24 Feb 2010 16:51:10 GMT",
"version": "v1"
}
] | 2010-09-06 | [
[
"Fujimori",
"Toshiaki",
""
],
[
"Marmorini",
"Giacomo",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Sakai",
"Norisuke",
""
]
] | The moduli space metric and its Kahler potential for well-separated non-Abelian vortices are obtained in U(N) gauge theories with N Higgs fields in the fundamental representation. |
2304.14948 | Gustavo Joaquin Turiaci | Lorenz Eberhardt, Gustavo J. Turiaci | 2D dilaton gravity and the Weil-Petersson volumes with conical defects | 45pp; typos corrected | null | null | null | hep-th math-ph math.MP math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the Weil-Petersson measure on the moduli space of hyperbolic
surfaces with defects of arbitrary opening angles and use this to compute its
volume. We conjecture a matrix integral computing the corresponding volumes and
confirm agreement in simple cases. We combine this mathematical result with the
equivariant localization approach to Jackiw-Teitelboim gravity to justify a
proposed exact solution of pure 2d dilaton gravity for a large class of dilaton
potentials.
| [
{
"created": "Fri, 28 Apr 2023 16:06:48 GMT",
"version": "v1"
},
{
"created": "Tue, 23 May 2023 15:50:01 GMT",
"version": "v2"
}
] | 2023-05-24 | [
[
"Eberhardt",
"Lorenz",
""
],
[
"Turiaci",
"Gustavo J.",
""
]
] | We derive the Weil-Petersson measure on the moduli space of hyperbolic surfaces with defects of arbitrary opening angles and use this to compute its volume. We conjecture a matrix integral computing the corresponding volumes and confirm agreement in simple cases. We combine this mathematical result with the equivariant localization approach to Jackiw-Teitelboim gravity to justify a proposed exact solution of pure 2d dilaton gravity for a large class of dilaton potentials. |
0708.1342 | Luiz Agostinho Ferreira | P. E. G. Assis and L. A. Ferreira | The Bullough-Dodd model coupled to matter fields | 48 pages, 3 eps figures, latex | Nucl.Phys.B800:409-449,2008 | 10.1016/j.nuclphysb.2008.01.004 | null | hep-th math-ph math.MP nlin.SI | null | The Bullough-Dodd model is an important two dimensional integrable field
theory which finds applications in physics and geometry. We consider a
conformally invariant extension of it, and study its integrability properties
using a zero curvature condition based on the twisted Kac-Moody algebra
A_2^{(2)}. The one and two-soliton solutions as well as the breathers are
constructed explicitly . We also consider integrable extensions of the
Bullough-Dodd model by the introduction of spinor (matter) fields. The
resulting theories are conformally invariant and present local internal
symmetries. All the one-soliton solutions, for two examples of those models,
are constructed using an hybrid of the dressing and Hirota methods. One model
is of particular interest because it presents a confinement mechanism for a
given conserved charge inside the solitons.
| [
{
"created": "Thu, 9 Aug 2007 21:27:48 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Assis",
"P. E. G.",
""
],
[
"Ferreira",
"L. A.",
""
]
] | The Bullough-Dodd model is an important two dimensional integrable field theory which finds applications in physics and geometry. We consider a conformally invariant extension of it, and study its integrability properties using a zero curvature condition based on the twisted Kac-Moody algebra A_2^{(2)}. The one and two-soliton solutions as well as the breathers are constructed explicitly . We also consider integrable extensions of the Bullough-Dodd model by the introduction of spinor (matter) fields. The resulting theories are conformally invariant and present local internal symmetries. All the one-soliton solutions, for two examples of those models, are constructed using an hybrid of the dressing and Hirota methods. One model is of particular interest because it presents a confinement mechanism for a given conserved charge inside the solitons. |
hep-th/9601138 | Claudio Emmrich | C. Emmrich, H. R\"omer | Multicomponent WKB and Quantization | 10 pages, latex | Acta Phys.Polon. B27 (1996) 2393-2402 | null | HEPTH-96/2 | hep-th | null | Hamiltonians whose symbols are not simply real valued, but matrix or, more
generally, endomorphism valued functions appear in many places in physics,
examples being the Dirac equation, multicomponent wave equations like
electrodynamics in media, and Yang-Mills theories, and the Born-Oppenheimer
approximation in molecular physics. The aim of this paper is to give a
completely geometric approach to the WKB approximation od such systems, and to
reduce the problem ``as far as possible'' to the scalar case. A star-product
formulation of quantum mechanics proves to be particularly useful in this
context. As opposed to other approaches in the literature which restrict
themselves to the use of the Moyal product and thus to the study of trivial
bundles (or local trivializations) over $\real^{2n}$, we will consider general
bundles over arbitrary symplectic manifolds. Here, Fedosov's construction
\cite{fedosov} will be the adequate tool, since it gives an explicit
construction for star products in this general setting.
| [
{
"created": "Thu, 25 Jan 1996 10:40:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Emmrich",
"C.",
""
],
[
"Römer",
"H.",
""
]
] | Hamiltonians whose symbols are not simply real valued, but matrix or, more generally, endomorphism valued functions appear in many places in physics, examples being the Dirac equation, multicomponent wave equations like electrodynamics in media, and Yang-Mills theories, and the Born-Oppenheimer approximation in molecular physics. The aim of this paper is to give a completely geometric approach to the WKB approximation od such systems, and to reduce the problem ``as far as possible'' to the scalar case. A star-product formulation of quantum mechanics proves to be particularly useful in this context. As opposed to other approaches in the literature which restrict themselves to the use of the Moyal product and thus to the study of trivial bundles (or local trivializations) over $\real^{2n}$, we will consider general bundles over arbitrary symplectic manifolds. Here, Fedosov's construction \cite{fedosov} will be the adequate tool, since it gives an explicit construction for star products in this general setting. |
hep-th/0610177 | Richard Szabo | Rui M.G. Reis, Richard J. Szabo and Alessandro Valentino | KO-Homology and Type I String Theory | 40 pages; v4: Clarifying comments added, more detailed proof of main
isomorphism theorem given; Final version to be published in Reviews in
Mathematical Physics | Rev.Math.Phys.21:1091-1143,2009 | 10.1142/S0129055X09003839 | HWM-06-40, EMPG-06-09 | hep-th math.KT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the classification of D-branes and Ramond-Ramond fields in Type I
string theory by developing a geometric description of KO-homology. We define
an analytic version of KO-homology using KK-theory of real C*-algebras, and
construct explicitly the isomorphism between geometric and analytic
KO-homology. The construction involves recasting the Cl(n)-index theorem and a
certain geometric invariant into a homological framework which is used, along
with a definition of the real Chern character in KO-homology, to derive
cohomological index formulas. We show that this invariant also naturally
assigns torsion charges to non-BPS states in Type I string theory, in the
construction of classes of D-branes in terms of topological KO-cycles. The
formalism naturally captures the coupling of Ramond-Ramond fields to background
D-branes which cancel global anomalies in the string theory path integral. We
show that this is related to a physical interpretation of bivariant KK-theory
in terms of decay processes on spacetime-filling branes. We also provide a
construction of the holonomies of Ramond-Ramond fields in Type II string theory
in terms of topological K-chains.
| [
{
"created": "Mon, 16 Oct 2006 14:27:53 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Oct 2006 15:39:33 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Dec 2008 08:26:46 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Jul 2009 08:44:42 GMT",
"version": "v4"
}
] | 2009-11-16 | [
[
"Reis",
"Rui M. G.",
""
],
[
"Szabo",
"Richard J.",
""
],
[
"Valentino",
"Alessandro",
""
]
] | We study the classification of D-branes and Ramond-Ramond fields in Type I string theory by developing a geometric description of KO-homology. We define an analytic version of KO-homology using KK-theory of real C*-algebras, and construct explicitly the isomorphism between geometric and analytic KO-homology. The construction involves recasting the Cl(n)-index theorem and a certain geometric invariant into a homological framework which is used, along with a definition of the real Chern character in KO-homology, to derive cohomological index formulas. We show that this invariant also naturally assigns torsion charges to non-BPS states in Type I string theory, in the construction of classes of D-branes in terms of topological KO-cycles. The formalism naturally captures the coupling of Ramond-Ramond fields to background D-branes which cancel global anomalies in the string theory path integral. We show that this is related to a physical interpretation of bivariant KK-theory in terms of decay processes on spacetime-filling branes. We also provide a construction of the holonomies of Ramond-Ramond fields in Type II string theory in terms of topological K-chains. |
1506.01847 | David Tempo | Marc Henneaux, Alfredo Perez, David Tempo, Ricardo Troncoso | Hypersymmetry bounds and three-dimensional higher-spin black holes | 26 pages | null | 10.1007/JHEP08(2015)021 | CECS-PHY-15/01 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the hypersymmetry bounds on the higher spin black hole
parameters that follow from the asymptotic symmetry superalgebra in higher-spin
anti-de Sitter gravity in three spacetime dimensions. We consider anti-de
Sitter hypergravity for which the analysis is most transparent. This is a
$osp(1\vert 4) \oplus osp(1\vert 4)$ Chern-Simons theory which contains,
besides a spin-$2$ field, a spin-$4$ field and a spin-$5/2$ field. The
asymptotic symmetry superalgebra is then the direct sum of two-copies of the
hypersymmetric extension $W_{(2,\frac52,4)}$ of $W_{(2,4)}$, which contains
fermionic generators of conformal weight $5/2$ and bosonic generators of
conformal weight $4$ in addition to the Virasoro generators. Following standard
methods, we derive bounds on the conserved charges from the anticommutator of
the hypersymmetry generators. The hypersymmetry bounds are nonlinear and are
saturated by the hypersymmetric black holes, which turn out to possess
$1/4$-hypersymmetry and to be "extreme", where extremality can be defined in
terms of the entropy: extreme black holes are those that fulfill the
extremality bounds beyond which the entropy ceases to be a real function of the
black hole parameters. We also extend the analysis to other $sp(4)$-solitonic
solutions which are maximally (hyper)symmetric.
| [
{
"created": "Fri, 5 Jun 2015 09:59:35 GMT",
"version": "v1"
}
] | 2015-09-02 | [
[
"Henneaux",
"Marc",
""
],
[
"Perez",
"Alfredo",
""
],
[
"Tempo",
"David",
""
],
[
"Troncoso",
"Ricardo",
""
]
] | We investigate the hypersymmetry bounds on the higher spin black hole parameters that follow from the asymptotic symmetry superalgebra in higher-spin anti-de Sitter gravity in three spacetime dimensions. We consider anti-de Sitter hypergravity for which the analysis is most transparent. This is a $osp(1\vert 4) \oplus osp(1\vert 4)$ Chern-Simons theory which contains, besides a spin-$2$ field, a spin-$4$ field and a spin-$5/2$ field. The asymptotic symmetry superalgebra is then the direct sum of two-copies of the hypersymmetric extension $W_{(2,\frac52,4)}$ of $W_{(2,4)}$, which contains fermionic generators of conformal weight $5/2$ and bosonic generators of conformal weight $4$ in addition to the Virasoro generators. Following standard methods, we derive bounds on the conserved charges from the anticommutator of the hypersymmetry generators. The hypersymmetry bounds are nonlinear and are saturated by the hypersymmetric black holes, which turn out to possess $1/4$-hypersymmetry and to be "extreme", where extremality can be defined in terms of the entropy: extreme black holes are those that fulfill the extremality bounds beyond which the entropy ceases to be a real function of the black hole parameters. We also extend the analysis to other $sp(4)$-solitonic solutions which are maximally (hyper)symmetric. |
2205.01125 | Mario De Marco | Mario De Marco, Andrea Sangiovanni, Roberto Valandro | 5d Higgs Branches from M-theory on quasi-homogeneous cDV threefold
singularities | 49 pages + appendices | null | 10.1007/JHEP10(2022)124 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We classify rank zero 5d SCFTs geometrically engineered from M-theory on
quasi-homogeneous compound Du Val isolated threefold singularities. For all
such theories, we characterize the Higgs Branch, by computing the dimension,
the continuous and discrete symmetry groups, as well as more refined details
such as the charges of the hypermultiplets under these groups. We derive these
data by means of a gauge-theoretic method, that we have recently introduced,
based on establishing a correspondence between an adjoint Higgs field and the
M-theory geometry. As a byproduct, this further allows us to construct several
T-brane backgrounds, that yield inequivalent 5d spectra but are associated with
the same geometry.
| [
{
"created": "Mon, 2 May 2022 18:00:07 GMT",
"version": "v1"
},
{
"created": "Thu, 26 May 2022 17:58:25 GMT",
"version": "v2"
},
{
"created": "Fri, 5 May 2023 09:28:49 GMT",
"version": "v3"
}
] | 2023-05-08 | [
[
"De Marco",
"Mario",
""
],
[
"Sangiovanni",
"Andrea",
""
],
[
"Valandro",
"Roberto",
""
]
] | We classify rank zero 5d SCFTs geometrically engineered from M-theory on quasi-homogeneous compound Du Val isolated threefold singularities. For all such theories, we characterize the Higgs Branch, by computing the dimension, the continuous and discrete symmetry groups, as well as more refined details such as the charges of the hypermultiplets under these groups. We derive these data by means of a gauge-theoretic method, that we have recently introduced, based on establishing a correspondence between an adjoint Higgs field and the M-theory geometry. As a byproduct, this further allows us to construct several T-brane backgrounds, that yield inequivalent 5d spectra but are associated with the same geometry. |
1905.00577 | Souvik Dutta | Souvik Dutta and Thomas Faulkner | A canonical purification for the entanglement wedge cross-section | 50 pages, 15 figures | null | null | null | hep-th math.OA quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In AdS/CFT we consider a class of bulk geometric quantities inside the
entanglement wedge called reflected minimal surfaces. The areas of these
surfaces are dual to the entanglement entropy associated to a canonical
purification (the GNS state) that we dub the reflected entropy. From the bulk
point of view, we show that half the area of the reflected minimal surface
gives a reinterpretation of the notion of the entanglement wedge cross-section.
We prove some general properties of the reflected entropy and introduce a novel
replica trick in CFTs for studying it. The duality is established using a
recently introduced approach to holographic modular flow. We also consider an
explicit holographic construction of the canonical purification, introduced by
Engelhardt and Wall; the reflected minimal surfaces are simply RT surfaces in
this new spacetime. We contrast our results with the entanglement of
purification conjecture, and finally comment on the continuum limit where we
find a relation to the split property: the reflected entropy computes the von
Neumann entropy of a canonical splitting type-I factor introduced by Doplicher
and Longo.
| [
{
"created": "Thu, 2 May 2019 05:28:03 GMT",
"version": "v1"
}
] | 2019-05-03 | [
[
"Dutta",
"Souvik",
""
],
[
"Faulkner",
"Thomas",
""
]
] | In AdS/CFT we consider a class of bulk geometric quantities inside the entanglement wedge called reflected minimal surfaces. The areas of these surfaces are dual to the entanglement entropy associated to a canonical purification (the GNS state) that we dub the reflected entropy. From the bulk point of view, we show that half the area of the reflected minimal surface gives a reinterpretation of the notion of the entanglement wedge cross-section. We prove some general properties of the reflected entropy and introduce a novel replica trick in CFTs for studying it. The duality is established using a recently introduced approach to holographic modular flow. We also consider an explicit holographic construction of the canonical purification, introduced by Engelhardt and Wall; the reflected minimal surfaces are simply RT surfaces in this new spacetime. We contrast our results with the entanglement of purification conjecture, and finally comment on the continuum limit where we find a relation to the split property: the reflected entropy computes the von Neumann entropy of a canonical splitting type-I factor introduced by Doplicher and Longo. |
hep-th/0404234 | Vishesh Khemani | Vishesh Khemani | Searching for Novel Objects in the Electroweak Theory | M.I.T. Ph.D Thesis; 107 pages, uses mitthesis.cls; v2: added a
reference | null | null | null | hep-th hep-ph | null | We explore the Higgs-Gauge configuration space in the standard electroweak
theory. We outline a general prescription that uses the non-trivial topology
associated with the gauge group of the theory, to find known solutions of the
Euclidean classical equations of motion and motivate the existence of novel
ones. In Minkowski spacetime we present evidence for the existence of
approximate breathers -- long-lived, spatially localized, temporally periodic
configurations. We consider heavy fermion quantum fluctuations about static
Higgs-Gauge configurations, and argue for the existence of stable fermionic
solitons. These could resolve the fermion decoupling puzzle in chiral gauge
theories. We describe our search for a fermionic soliton within a spherical
ansatz, and discuss the quantum corrected sphaleron and the emergence of new
barriers suppressing the decay of heavy fermions. Finally, we consider
electroweak strings and how they could give rise to stable multi-quark objects.
| [
{
"created": "Thu, 29 Apr 2004 00:20:19 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Apr 2004 19:54:22 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Khemani",
"Vishesh",
""
]
] | We explore the Higgs-Gauge configuration space in the standard electroweak theory. We outline a general prescription that uses the non-trivial topology associated with the gauge group of the theory, to find known solutions of the Euclidean classical equations of motion and motivate the existence of novel ones. In Minkowski spacetime we present evidence for the existence of approximate breathers -- long-lived, spatially localized, temporally periodic configurations. We consider heavy fermion quantum fluctuations about static Higgs-Gauge configurations, and argue for the existence of stable fermionic solitons. These could resolve the fermion decoupling puzzle in chiral gauge theories. We describe our search for a fermionic soliton within a spherical ansatz, and discuss the quantum corrected sphaleron and the emergence of new barriers suppressing the decay of heavy fermions. Finally, we consider electroweak strings and how they could give rise to stable multi-quark objects. |
hep-th/9712158 | Joao Barcelos-Neto | J. Barcelos-Neto | Spontaneous compactification of D=5 two-form gauge fields and the
obtainment of Maxwell and Yang-Mills theories | 14 pages, Latex. Enlarged and revised version. To appear in Journal
of Mathematical Physics | null | null | null | hep-th | null | We show that the spontaneous compactification of the Abelian and non-Abelian
two-form gauge field theories from $D=4+1$ to $D=3+1$ leads to the same
theories plus the Maxwell and Yang-Mills ones, respectively. The vector
potential comes from the zero mode of the fifth component of the tensor gauge
field in D=5. Concerning to the non-Abelian case, it is necessary to make a
more refined definition of the three-form stress tensor in order to be
compatible, after the compactification, with the two-form stress tensor of the
Yang-Mills theory.
| [
{
"created": "Tue, 16 Dec 1997 16:42:31 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jul 2000 19:12:03 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Barcelos-Neto",
"J.",
""
]
] | We show that the spontaneous compactification of the Abelian and non-Abelian two-form gauge field theories from $D=4+1$ to $D=3+1$ leads to the same theories plus the Maxwell and Yang-Mills ones, respectively. The vector potential comes from the zero mode of the fifth component of the tensor gauge field in D=5. Concerning to the non-Abelian case, it is necessary to make a more refined definition of the three-form stress tensor in order to be compatible, after the compactification, with the two-form stress tensor of the Yang-Mills theory. |
hep-th/9701162 | Edward Witten | Robert Friedman, John Morgan, and Edward Witten | Vector Bundles And F Theory | 93 pp., harvmac. Section 4.4 has been extended with additional
Comments relating F theory intermediate Jacobians to heterotic string bundles | Commun.Math.Phys.187:679-743,1997 | 10.1007/s002200050154 | null | hep-th alg-geom math.AG | null | To understand in detail duality between heterotic string and F theory
compactifications, it is important to understand the construction of
holomorphic G bundles over elliptic Calabi-Yau manifolds, for various groups G.
In this paper, we develop techniques to describe the bundles, and make several
detailed comparisons between the heterotic string and F theory.
| [
{
"created": "Tue, 28 Jan 1997 19:29:35 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Feb 1997 14:34:13 GMT",
"version": "v2"
}
] | 2010-04-07 | [
[
"Friedman",
"Robert",
""
],
[
"Morgan",
"John",
""
],
[
"Witten",
"Edward",
""
]
] | To understand in detail duality between heterotic string and F theory compactifications, it is important to understand the construction of holomorphic G bundles over elliptic Calabi-Yau manifolds, for various groups G. In this paper, we develop techniques to describe the bundles, and make several detailed comparisons between the heterotic string and F theory. |
1310.1744 | Mukund Rangamani | Matthias R. Gaberdiel, Rajesh Gopakumar, Mukund Rangamani | The Spectrum of Light States in Large N Minimal Models | 40 pages, 8 figures. v2: typos fixed. published version | null | 10.1007/JHEP01(2014)116 | DCPT-13/27 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | $W_{N,k}$ minimal models possess an interesting class of `light' primaries
which control much of the low energy density of states in the large $N$ 't
Hooft limit. In this paper we conduct a detailed exploration of their
distribution using a combination of numerical and analytical techniques. We
also make some observations about the density of states of the full CFT. Our
results appear to support the contention that there is no finite temperature
analogue of the Hawking-Page transition in these systems.
| [
{
"created": "Mon, 7 Oct 2013 11:56:01 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jan 2014 02:32:13 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Gopakumar",
"Rajesh",
""
],
[
"Rangamani",
"Mukund",
""
]
] | $W_{N,k}$ minimal models possess an interesting class of `light' primaries which control much of the low energy density of states in the large $N$ 't Hooft limit. In this paper we conduct a detailed exploration of their distribution using a combination of numerical and analytical techniques. We also make some observations about the density of states of the full CFT. Our results appear to support the contention that there is no finite temperature analogue of the Hawking-Page transition in these systems. |
hep-th/9605185 | Yoshiyuki Watabiki | Yoshiyuki Watabiki (Tokyo Institute of Technology) | Fractal Structure of Space-Time in Two-Dimensional Quantum Gravity | LaTeX, 11 pages, 14 figures, 4 style-files as macro | null | null | TIT/HEP--333 | hep-th | null | We show that universal functions play an important role in the observation of
the fractal structure of space--time in the numerical simulation of quantum
gravity.
| [
{
"created": "Sat, 25 May 1996 13:25:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Watabiki",
"Yoshiyuki",
"",
"Tokyo Institute of Technology"
]
] | We show that universal functions play an important role in the observation of the fractal structure of space--time in the numerical simulation of quantum gravity. |
2405.17648 | Siyul Lee | Finn Larsen and Siyul Lee | Supersymmetric Charge Constraints on AdS Black Holes from Free Fields | 26 pages | null | null | LCTP-24-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric AdS black hole solutions exist only when their angular momenta
and charges satisfy a certain constraint that depends on the dimension. We show
that these nonlinear relations on the conserved charges agree with a
computation in the dual supersymmetric CFT in its free limit, with interactions
entering only through a uniform rescaling of all charges. Our computations
apply to the highly non-trivial charge constraints for AdS$_4$, AdS$_5$ and
AdS$_7$ black holes, and generalize an earlier one for the analogous constraint
in AdS$_3$. Our results suggest a microscopic understanding of AdS black holes
beyond the scope of supersymmetric indices.
| [
{
"created": "Mon, 27 May 2024 20:43:55 GMT",
"version": "v1"
}
] | 2024-05-29 | [
[
"Larsen",
"Finn",
""
],
[
"Lee",
"Siyul",
""
]
] | Supersymmetric AdS black hole solutions exist only when their angular momenta and charges satisfy a certain constraint that depends on the dimension. We show that these nonlinear relations on the conserved charges agree with a computation in the dual supersymmetric CFT in its free limit, with interactions entering only through a uniform rescaling of all charges. Our computations apply to the highly non-trivial charge constraints for AdS$_4$, AdS$_5$ and AdS$_7$ black holes, and generalize an earlier one for the analogous constraint in AdS$_3$. Our results suggest a microscopic understanding of AdS black holes beyond the scope of supersymmetric indices. |
hep-th/9603115 | Achim Kempf | Achim Kempf (DAMTP, Cambridge) | On Path Integration on Noncommutative Geometries | 8 pages, LaTeX | null | null | DAMTP/96-10 | hep-th | null | We discuss a recent approach to quantum field theoretical path integration on
noncommutative geometries which imply UV/IR regularising finite minimal
uncertainties in positions and/or momenta. One class of such noncommutative
geometries arise as `momentum spaces' over curved spaces, for which we can now
give the full set of commutation relations in coordinate free form, based on
the Synge world function.
| [
{
"created": "Sun, 17 Mar 1996 19:05:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kempf",
"Achim",
"",
"DAMTP, Cambridge"
]
] | We discuss a recent approach to quantum field theoretical path integration on noncommutative geometries which imply UV/IR regularising finite minimal uncertainties in positions and/or momenta. One class of such noncommutative geometries arise as `momentum spaces' over curved spaces, for which we can now give the full set of commutation relations in coordinate free form, based on the Synge world function. |
1304.1551 | Savdeep Sethi | Savdeep Sethi | A New String in Ten Dimensions? | 18 pages, 2 figures; LaTeX; significant revision of the M-theory
discussion; comments, caveats and references added | null | 10.1007/JHEP09(2013)149 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I suggest the possibility of a new string in ten dimensions. Evidence for
this string is presented both from orientifold physics and from K-theory, along
with a mystery concerning the M-theory description. Motivated by this
possibility, some novel aspects of decoupling limits in heterotic/type I
theories are described; specifically, the decoupled theory on type I
$D$-strings is argued to be three-dimensional rather than two-dimensional.
These decoupled theories provide the matrix model definitions of the
heterotic/type I strings.
| [
{
"created": "Thu, 4 Apr 2013 20:04:02 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2013 18:57:30 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Sethi",
"Savdeep",
""
]
] | I suggest the possibility of a new string in ten dimensions. Evidence for this string is presented both from orientifold physics and from K-theory, along with a mystery concerning the M-theory description. Motivated by this possibility, some novel aspects of decoupling limits in heterotic/type I theories are described; specifically, the decoupled theory on type I $D$-strings is argued to be three-dimensional rather than two-dimensional. These decoupled theories provide the matrix model definitions of the heterotic/type I strings. |
hep-th/0503056 | Jen-Chi Lee | Jen-Chi Lee | Spontaneously broken symmetry in string theory | null | Phys.Lett. B326 (1994) 79-83 | 10.1016/0370-2693(94)91195-9 | null | hep-th | null | By using zero-norm states in the spectrum, we explicitly demonstrate the
existence of an infinite number of high energy symmetry structures of the
closed bosonic string theory. Each symmetry transformation (except those
generated by massless zero-norm states) relates infinite particles with
different masses, thus they are broken spontaneously at the Planck scale as
previously conjectured by Gross and Evans and Ovrut. As an application, the
results of Das and Sathiapalan which claim that sigma-midel is
nonperturbatively nonrenormalizable are reproduced from a stringy symmetry
argument point of view.
| [
{
"created": "Mon, 7 Mar 2005 11:30:13 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Lee",
"Jen-Chi",
""
]
] | By using zero-norm states in the spectrum, we explicitly demonstrate the existence of an infinite number of high energy symmetry structures of the closed bosonic string theory. Each symmetry transformation (except those generated by massless zero-norm states) relates infinite particles with different masses, thus they are broken spontaneously at the Planck scale as previously conjectured by Gross and Evans and Ovrut. As an application, the results of Das and Sathiapalan which claim that sigma-midel is nonperturbatively nonrenormalizable are reproduced from a stringy symmetry argument point of view. |
hep-th/0411093 | Nobuyoshi Ohta | Kei-ichi Maeda and Nobuyoshi Ohta | Inflation from Superstring/M Theory Compactification with Higher Order
Corrections I | 54 pages, v2: minor corrections, refs. added, v3: some numerical
results corrected, v4: minor corrections, a ref. added, to appear in PRD | Phys.Rev. D71 (2005) 063520 | 10.1103/PhysRevD.71.063520 | OU-HET 497, WU-AP/200/04 | hep-th astro-ph gr-qc | null | We study time-dependent solutions in M and superstring theories with higher
order corrections. We first present general field equations for theories of
Lovelock type with stringy corrections in arbitrary dimensions. We then exhaust
all exact and asymptotic solutions of exponential and power-law expansions in
the theory with Gauss-Bonnet terms relevant to heterotic strings and in the
theories with quartic corrections corresponding to the M-theory and type II
superstrings. We discuss interesting inflationary solutions that can generate
enough e-foldings in the early universe.
| [
{
"created": "Tue, 9 Nov 2004 08:47:49 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2004 13:23:49 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Nov 2004 12:12:47 GMT",
"version": "v3"
},
{
"created": "Fri, 4 Mar 2005 06:41:46 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Maeda",
"Kei-ichi",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] | We study time-dependent solutions in M and superstring theories with higher order corrections. We first present general field equations for theories of Lovelock type with stringy corrections in arbitrary dimensions. We then exhaust all exact and asymptotic solutions of exponential and power-law expansions in the theory with Gauss-Bonnet terms relevant to heterotic strings and in the theories with quartic corrections corresponding to the M-theory and type II superstrings. We discuss interesting inflationary solutions that can generate enough e-foldings in the early universe. |
2311.09595 | Muktajyoti Saha | Nabamita Banerjee, Muktajyoti Saha, and Suthanth Srinivasan | Logarithmic corrections for near-extremal black holes | Minor revisions, references added | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We present the computation of logarithmic corrections to near-extremal black
hole entropy from one-loop Euclidean gravity path integral around the
near-horizon geometry. We extract these corrections employing a suitably
modified heat kernel method, where the near-extremal near-horizon geometry is
treated as a perturbation around the extremal near-horizon geometry. Using this
method we compute the logarithmic corrections to non-rotating solutions in four
dimensional Einstein-Maxwell and $\mathcal{N} = 2,4,8$ supergravity theories.
We also discuss the limit that suitably recovers the extremal black hole
results.
| [
{
"created": "Thu, 16 Nov 2023 06:07:26 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Feb 2024 15:53:50 GMT",
"version": "v2"
}
] | 2024-02-02 | [
[
"Banerjee",
"Nabamita",
""
],
[
"Saha",
"Muktajyoti",
""
],
[
"Srinivasan",
"Suthanth",
""
]
] | We present the computation of logarithmic corrections to near-extremal black hole entropy from one-loop Euclidean gravity path integral around the near-horizon geometry. We extract these corrections employing a suitably modified heat kernel method, where the near-extremal near-horizon geometry is treated as a perturbation around the extremal near-horizon geometry. Using this method we compute the logarithmic corrections to non-rotating solutions in four dimensional Einstein-Maxwell and $\mathcal{N} = 2,4,8$ supergravity theories. We also discuss the limit that suitably recovers the extremal black hole results. |
1008.3832 | Susha Parameswaran | Susha L. Parameswaran and Jonas Schmidt | Coupling Brane Fields to Bulk Supergravity | 9 pages, v2: discussion expanded, to be published in Physics Letters
B | Phys.Lett.B696:131-137,2011 | 10.1016/j.physletb.2010.11.069 | UUITP-31/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we present a simple, general prescription for coupling brane
localized fields to bulk supergravity. We illustrate the procedure by
considering 6D N=2 bulk supergravity on a 2D orbifold, with brane fields
localized at the fixed points. The resulting action enjoys the full 6D N=2
symmetries in the bulk, and those of 4D N=1 supergravity at the brane
positions.
| [
{
"created": "Mon, 23 Aug 2010 14:59:46 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 2010 21:01:31 GMT",
"version": "v2"
}
] | 2011-01-04 | [
[
"Parameswaran",
"Susha L.",
""
],
[
"Schmidt",
"Jonas",
""
]
] | In this note we present a simple, general prescription for coupling brane localized fields to bulk supergravity. We illustrate the procedure by considering 6D N=2 bulk supergravity on a 2D orbifold, with brane fields localized at the fixed points. The resulting action enjoys the full 6D N=2 symmetries in the bulk, and those of 4D N=1 supergravity at the brane positions. |
1509.08908 | Chrysostomos Kalousios | Carlos Cardona, Chrysostomos Kalousios | Comments on the evaluation of massless scattering | 14 pages; v2 minor changes, published version | null | 10.1007/JHEP01(2016)178 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The goal of this work is threefold. First, we give an expression of the most
general five point integral on M_{0,n} in terms of Chebyshev polynomials.
Second, we choose a special kinematics that transforms the polynomial form of
the scattering equations to a linear system of symmetric polynomials. We then
explain how this can be used to explicitly evaluate arbitrary point integrals
on M_{0,n}. Third, we comment on the recently presented method of companion
matrices and we show its equivalence to the elimination theory and an algorithm
previously developed by one of the authors.
| [
{
"created": "Tue, 29 Sep 2015 19:51:37 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Feb 2016 17:47:14 GMT",
"version": "v2"
}
] | 2016-03-23 | [
[
"Cardona",
"Carlos",
""
],
[
"Kalousios",
"Chrysostomos",
""
]
] | The goal of this work is threefold. First, we give an expression of the most general five point integral on M_{0,n} in terms of Chebyshev polynomials. Second, we choose a special kinematics that transforms the polynomial form of the scattering equations to a linear system of symmetric polynomials. We then explain how this can be used to explicitly evaluate arbitrary point integrals on M_{0,n}. Third, we comment on the recently presented method of companion matrices and we show its equivalence to the elimination theory and an algorithm previously developed by one of the authors. |
1206.6096 | Alexander Patrushev | D. G. C. McKeon and A. Patrushev | On Determining the Running Coupling from the Effective Action | 6+3 pages, discussion extended, references added, typos fixed | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The conformal anomaly has provided an expression for the effective action of
gauge theories in the presence of a strong background field in terms of the
running coupling constant. We exploit this result to find a novel expansion for
the running coupling.
| [
{
"created": "Tue, 26 Jun 2012 19:45:55 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jun 2012 18:00:51 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Oct 2012 19:01:09 GMT",
"version": "v3"
}
] | 2012-10-02 | [
[
"McKeon",
"D. G. C.",
""
],
[
"Patrushev",
"A.",
""
]
] | The conformal anomaly has provided an expression for the effective action of gauge theories in the presence of a strong background field in terms of the running coupling constant. We exploit this result to find a novel expansion for the running coupling. |
hep-th/0106284 | Bert Schroer | Bert Schroer, (CBPF, Rio de Janeiro) | Holography&Transplantation and All That (The tip of an iceberg for a
paradigmatic change in QFT?) | 31 pages tcilatex, several improvements in presentation, references
added | null | null | null | hep-th gr-qc math-ph math.MP quant-ph | null | Recent developments in local quantum physics have led to revolutionary
conceptual changes in the thinking about a more intrinsic formulation and in
particular about unexpected aspects of localized degrees of freedom. This
paradigmatic change is most spectacular in a new rigorous form of
``holography'' and ``transplantation'' as generic properties in QFT beyond the
rather special geometric black hole setting in which the geometric
manifestations of these properties were first noted. This new setting is also
the natural arena for understanding the rich world of ``black hole analogs''
(``dumb holes'' for phonons). The mathematical basis for all this is the
extremely powerful Tomita-Takesaki modular theory in operator algebras. The
rich consequences of the impressive blend of this theory with physical
localization entails among other things the presence of ``fuzzy'' acting
infinite dimensional symmetry groups, a spacetime interpretation and derivation
of the d=1+1 Zamolodchikov-Faddeev algebra (i.e. a better understanding of the
bootstrap-formfactor approach) and the noncommutative multiparticle structure
of ``free'' anyons based on the use of Wigner representation theory.
| [
{
"created": "Fri, 29 Jun 2001 19:58:38 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Aug 2001 22:59:28 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Schroer",
"Bert",
""
]
] | Recent developments in local quantum physics have led to revolutionary conceptual changes in the thinking about a more intrinsic formulation and in particular about unexpected aspects of localized degrees of freedom. This paradigmatic change is most spectacular in a new rigorous form of ``holography'' and ``transplantation'' as generic properties in QFT beyond the rather special geometric black hole setting in which the geometric manifestations of these properties were first noted. This new setting is also the natural arena for understanding the rich world of ``black hole analogs'' (``dumb holes'' for phonons). The mathematical basis for all this is the extremely powerful Tomita-Takesaki modular theory in operator algebras. The rich consequences of the impressive blend of this theory with physical localization entails among other things the presence of ``fuzzy'' acting infinite dimensional symmetry groups, a spacetime interpretation and derivation of the d=1+1 Zamolodchikov-Faddeev algebra (i.e. a better understanding of the bootstrap-formfactor approach) and the noncommutative multiparticle structure of ``free'' anyons based on the use of Wigner representation theory. |
hep-th/0407275 | Toshiaki Tanaka | Toshiaki Tanaka | A Many-body Generalization of Quasi-solvable Models with Type C N-fold
Supersymmetry (I) Regular Cases | 29 pages, no figures; Refs. added, version to appear in Annals of
Physics | Annals Phys. 316 (2005) 187-212 | 10.1016/j.aop.2004.11.007 | null | hep-th math-ph math.MP nlin.SI | null | We make a generalization of the type C monomial space of a single variable,
which was introduced in the construction of type C N-fold supersymmetry, to
several variables. Then, we construct the most general quasi-solvable
second-order operators preserving this multivariate type C space. These
operators of several variables are characterized by the fact that two different
polynomial type solutions are available. In particular, we investigate and
classify all the possible Schroedinger operators realized as a subclass of this
family. It turns out that the rational, hyperbolic, and trigonometric
Calogero-Sutherland models as well as some particular type of the elliptic
Inozemtsev system, all associated with the BC_M root system, fall within the
class.
| [
{
"created": "Fri, 30 Jul 2004 16:40:38 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Dec 2004 10:51:22 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Tanaka",
"Toshiaki",
""
]
] | We make a generalization of the type C monomial space of a single variable, which was introduced in the construction of type C N-fold supersymmetry, to several variables. Then, we construct the most general quasi-solvable second-order operators preserving this multivariate type C space. These operators of several variables are characterized by the fact that two different polynomial type solutions are available. In particular, we investigate and classify all the possible Schroedinger operators realized as a subclass of this family. It turns out that the rational, hyperbolic, and trigonometric Calogero-Sutherland models as well as some particular type of the elliptic Inozemtsev system, all associated with the BC_M root system, fall within the class. |
hep-th/9710074 | Jiannis Pachos | Jiannis Pachos and Antonios Tsapalis | Static Colored SU(2) Sources in (1+1)-Dimensions - An Analytic Solution
in the Electric Representation | 10 pages, 4 figs, REVTEX | Mod.Phys.Lett. A13 (1998) 1371-1382 | 10.1142/S0217732398001431 | MIT-CTP-2681 | hep-th | null | Within the Schroedinger Electric Representation we analytically calculate the
complete wave functional obeying Gauss' law with static SU(2) sources in
(1+1)-dimensions. The effective potential is found to be linear in the distance
between the sources as expected.
| [
{
"created": "Wed, 8 Oct 1997 23:01:11 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jan 1998 22:58:33 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Pachos",
"Jiannis",
""
],
[
"Tsapalis",
"Antonios",
""
]
] | Within the Schroedinger Electric Representation we analytically calculate the complete wave functional obeying Gauss' law with static SU(2) sources in (1+1)-dimensions. The effective potential is found to be linear in the distance between the sources as expected. |
2312.06584 | Keremcan Do\u{g}an | Aybike \c{C}atal-\"Ozer, Keremcan Do\u{g}an, Cem
Yeti\c{s}mi\c{s}o\u{g}lu | Drinfel'd Double of Bialgebroids for String and M Theories: Dual
Calculus Framework | 52 pages | null | null | null | hep-th math-ph math.DG math.MP | http://creativecommons.org/licenses/by/4.0/ | We extend the notion of Lie bialgebroids for more general bracket structures
used in string and M theories. We formalize the notions of calculus and dual
calculi on algebroids. We achieve this by reinterpreting the main results of
the matched pairs of Leibniz algebroids. By examining a rather general set of
fundamental algebroid axioms, we present the compatibility conditions between
two calculi on vector bundles which are not dual in the usual sense. Given two
algebroids equipped with calculi satisfying the compatibility conditions, we
construct its double on their direct sum. This generalizes the Drinfel'd double
of Lie bialgebroids. We discuss several examples from the literature including
exceptional Courant brackets. Using Nambu-Poisson structures, we construct an
explicit example, which is important both from physical and mathematical point
of views. This example can be considered as the extension of triangular Lie
bialgebroids in the realm of higher Courant algebroids, that automatically
satisfy the compatibility conditions. We extend the Poisson generalized
geometry by defining Nambu-Poisson exceptional generalized geometry and prove
some preliminary results in this framework. We also comment on the global
picture in the framework of formal rackoids and we slightly extend the notion
for vector bundle valued metrics.
| [
{
"created": "Mon, 11 Dec 2023 18:15:57 GMT",
"version": "v1"
}
] | 2023-12-12 | [
[
"Çatal-Özer",
"Aybike",
""
],
[
"Doğan",
"Keremcan",
""
],
[
"Yetişmişoğlu",
"Cem",
""
]
] | We extend the notion of Lie bialgebroids for more general bracket structures used in string and M theories. We formalize the notions of calculus and dual calculi on algebroids. We achieve this by reinterpreting the main results of the matched pairs of Leibniz algebroids. By examining a rather general set of fundamental algebroid axioms, we present the compatibility conditions between two calculi on vector bundles which are not dual in the usual sense. Given two algebroids equipped with calculi satisfying the compatibility conditions, we construct its double on their direct sum. This generalizes the Drinfel'd double of Lie bialgebroids. We discuss several examples from the literature including exceptional Courant brackets. Using Nambu-Poisson structures, we construct an explicit example, which is important both from physical and mathematical point of views. This example can be considered as the extension of triangular Lie bialgebroids in the realm of higher Courant algebroids, that automatically satisfy the compatibility conditions. We extend the Poisson generalized geometry by defining Nambu-Poisson exceptional generalized geometry and prove some preliminary results in this framework. We also comment on the global picture in the framework of formal rackoids and we slightly extend the notion for vector bundle valued metrics. |
1202.3947 | Ryo Suzuki | Ryo Suzuki | Contour deformation trick in hybrid NLIE | 39 pages, 6 figures, v2: discussion on analyticity constraints
replaced by consistent deformed contour | null | 10.1007/JHEP07(2012)152 | ITP-UU-12/06; SPIN-12/05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The hybrid NLIE of AdS_5 x S^5 is applied to a wider class of states. We find
that the Konishi state of the orbifold AdS_5 x (S^5/Z_S) satisfies A_1 NLIE
with the source terms which are derived from contour deformation trick. For
general states, we construct a deformed contour with which the contour
deformation trick yields the correct source terms.
| [
{
"created": "Fri, 17 Feb 2012 16:14:01 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jun 2012 13:00:00 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Suzuki",
"Ryo",
""
]
] | The hybrid NLIE of AdS_5 x S^5 is applied to a wider class of states. We find that the Konishi state of the orbifold AdS_5 x (S^5/Z_S) satisfies A_1 NLIE with the source terms which are derived from contour deformation trick. For general states, we construct a deformed contour with which the contour deformation trick yields the correct source terms. |
1707.06045 | Ayesha Zakria | Ayesha Zakria | Center of Mass Energy of Three General Geodesic Colliding Particles
Around a Kerr-MOG Black Hole | 22 Pages, 4 Figures, 1 Table. arXiv admin note: text overlap with
arXiv:1501.06306 | Canadian Journal of Physics, 101(8), 428 (2023) | 10.1139/cjp-2023-0010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this research paper, we scrutinize the center of mass energy of the
collision for three neutral particles with different rest masses falling freely
from rest at infinity in the vicinity of a Kerr-Modified-Gravity black hole. In
addition, we deliberate the center of mass energy adjacent to the horizon(s) of
an extremal and non-extremal Kerr-Modified-Gravity black hole and demonstrate
that a swiftly huge center of mass energy is attainable concealed by few
constraints.
| [
{
"created": "Tue, 18 Jul 2017 15:22:33 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Sep 2018 19:04:50 GMT",
"version": "v2"
}
] | 2023-08-08 | [
[
"Zakria",
"Ayesha",
""
]
] | In this research paper, we scrutinize the center of mass energy of the collision for three neutral particles with different rest masses falling freely from rest at infinity in the vicinity of a Kerr-Modified-Gravity black hole. In addition, we deliberate the center of mass energy adjacent to the horizon(s) of an extremal and non-extremal Kerr-Modified-Gravity black hole and demonstrate that a swiftly huge center of mass energy is attainable concealed by few constraints. |
2212.13639 | Borut Bajc | Borut Bajc and Adrian R. Lugo | Holographic thermal propagator for arbitrary scale dimensions | 23 pages, 4 figures, one important reference added, more comparison
with known results, few typos corrected | null | 10.1007/JHEP05(2023)103 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Using the AdS/CFT correspondence we model the behaviour of the two point
correlator of an operator with arbitrary scale dimension $\Delta$ in arbitrary
spacetime dimension $d$ for small but non-zero temperature. The obtained
propagator coincides in the low temperature regime with the known result for
$d=4$ for large $\Delta$ at the order $T^d$ as well as with the $T^d$ and
$T^{2d}$ terms of the exact all order result for $d=2$. Furthermore, for
arbitrary $d$ we explicitly write down the expression for the order $T^{d}$ of
the propagator for arbitrary $\Delta$, and present a conjecture for the order
$T^{2d}$ in the large $\Delta$ limit.
| [
{
"created": "Tue, 27 Dec 2022 23:10:27 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2023 22:52:35 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Apr 2023 12:25:02 GMT",
"version": "v3"
}
] | 2023-05-31 | [
[
"Bajc",
"Borut",
""
],
[
"Lugo",
"Adrian R.",
""
]
] | Using the AdS/CFT correspondence we model the behaviour of the two point correlator of an operator with arbitrary scale dimension $\Delta$ in arbitrary spacetime dimension $d$ for small but non-zero temperature. The obtained propagator coincides in the low temperature regime with the known result for $d=4$ for large $\Delta$ at the order $T^d$ as well as with the $T^d$ and $T^{2d}$ terms of the exact all order result for $d=2$. Furthermore, for arbitrary $d$ we explicitly write down the expression for the order $T^{d}$ of the propagator for arbitrary $\Delta$, and present a conjecture for the order $T^{2d}$ in the large $\Delta$ limit. |
2308.12598 | Xiao-Yang Shen | Xiao-Yang Shen | Long range SYK model and boundary SYK model | 12 pages, 10 figures, comments are welcome | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a class of long-range solvable models in IR limit which corresponds
to a one-dimensional long-range conformal manifold. This class of long-range
model can be interpreted as the non-unitary interpolation between the
Sachdev-Ye-Kiteav-like model and the free theory. We investigate the chaos and
information scrambling of the model by analyzing its out-of-time order
correlators. We find the suppression of the Lyapunov exponent by the long-range
interaction and a slowdown in butterfly velocity in the emergent light cone
which can be interpreted as the contribution from the anomalous dimension of
the stress tensor in the spectrum. We further study a Yukawa-SYK model located
in a 3-dimensional boundary with a free field living in a 4-dimensional bulk.
The boundary IR spectrum of the model contains a tower of the spinning
operators protected by the higher spin symmetry of the bulk. We evaluate the
central charge and the Lyapunov exponent of the model.
| [
{
"created": "Thu, 24 Aug 2023 06:56:16 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Oct 2023 14:56:43 GMT",
"version": "v2"
}
] | 2023-10-25 | [
[
"Shen",
"Xiao-Yang",
""
]
] | We study a class of long-range solvable models in IR limit which corresponds to a one-dimensional long-range conformal manifold. This class of long-range model can be interpreted as the non-unitary interpolation between the Sachdev-Ye-Kiteav-like model and the free theory. We investigate the chaos and information scrambling of the model by analyzing its out-of-time order correlators. We find the suppression of the Lyapunov exponent by the long-range interaction and a slowdown in butterfly velocity in the emergent light cone which can be interpreted as the contribution from the anomalous dimension of the stress tensor in the spectrum. We further study a Yukawa-SYK model located in a 3-dimensional boundary with a free field living in a 4-dimensional bulk. The boundary IR spectrum of the model contains a tower of the spinning operators protected by the higher spin symmetry of the bulk. We evaluate the central charge and the Lyapunov exponent of the model. |
hep-th/0604072 | Steven B. Giddings | Steven B. Giddings | Locality in quantum gravity and string theory | 26 pages, 3 figures, harvmac. v2: minor changes to bring into accord
with revised paper hep-th/0605196 | Phys.Rev.D74:106006,2006 | 10.1103/PhysRevD.74.106006 | null | hep-th gr-qc | null | Breakdown of local physics in string theory at distances longer than the
string scale is investigated. Such nonlocality would be expected to be visible
in ultrahigh-energy scattering. The results of various approaches to such
scattering are collected and examined. No evidence is found for non-locality
from strings whose length grows linearly with the energy. However, local
quantum field theory does apparently fail at scales determined by gravitational
physics, particularly strong gravitational dynamics. This amplifies locality
bound arguments that such failure of locality is a fundamental aspect of
physics. This kind of nonlocality could be a central element of a possible
loophole in the argument for information loss in black holes.
| [
{
"created": "Mon, 10 Apr 2006 15:30:01 GMT",
"version": "v1"
},
{
"created": "Fri, 19 May 2006 19:43:55 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Giddings",
"Steven B.",
""
]
] | Breakdown of local physics in string theory at distances longer than the string scale is investigated. Such nonlocality would be expected to be visible in ultrahigh-energy scattering. The results of various approaches to such scattering are collected and examined. No evidence is found for non-locality from strings whose length grows linearly with the energy. However, local quantum field theory does apparently fail at scales determined by gravitational physics, particularly strong gravitational dynamics. This amplifies locality bound arguments that such failure of locality is a fundamental aspect of physics. This kind of nonlocality could be a central element of a possible loophole in the argument for information loss in black holes. |
hep-th/9606186 | Mario Elkin Velez Ruiz | Juan F. Ospina | An Heterotic SUSY Version of one Non--Stable Integrability Theorem Due
to K.H. Mayer | 5 latex pages | null | null | UDEA-96-06 | hep-th | null | By using Heterotic SUSY path integral, one version and generalization of an
integrability theorem due to Mayer is obtained.
| [
{
"created": "Thu, 27 Jun 1996 21:53:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ospina",
"Juan F.",
""
]
] | By using Heterotic SUSY path integral, one version and generalization of an integrability theorem due to Mayer is obtained. |
1311.0487 | Efrat Gerchkovitz | Efrat Gerchkovitz | Constraints on the R-charges of Free Bound States from the
R\"omelsberger Index | 22 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The R\"omelsberger index on S^3 x R serves as a powerful test for conjectured
dualities, relying on the claim that this object is an RG-invariant. In this
work we support this claim by showing that the singularities suggested by
Witten of "states moving in from infinity" are excluded on S^3 x R. In
addition, we provide an application of the R\"omelsberger index, in the form of
a constraint on the RG flow of supersymmetric theories. The constraint, which
applies for asymptotically free theories with unbroken supersymmetry and
non-anomalous R-symmetry, is the following: if the R-charges of the chiral
multiplets in the UV theory are 0<q_i<2 and the IR theory can be described as a
free theory of chiral bound states, then the R-charges of these bound states,
~q_j, are constrained such that 0<~q_j<2. We thus provide a proof of a weak
version of a conjecture proposed by Intriligator. We mention some applications
of this result.
| [
{
"created": "Sun, 3 Nov 2013 16:13:08 GMT",
"version": "v1"
}
] | 2013-11-05 | [
[
"Gerchkovitz",
"Efrat",
""
]
] | The R\"omelsberger index on S^3 x R serves as a powerful test for conjectured dualities, relying on the claim that this object is an RG-invariant. In this work we support this claim by showing that the singularities suggested by Witten of "states moving in from infinity" are excluded on S^3 x R. In addition, we provide an application of the R\"omelsberger index, in the form of a constraint on the RG flow of supersymmetric theories. The constraint, which applies for asymptotically free theories with unbroken supersymmetry and non-anomalous R-symmetry, is the following: if the R-charges of the chiral multiplets in the UV theory are 0<q_i<2 and the IR theory can be described as a free theory of chiral bound states, then the R-charges of these bound states, ~q_j, are constrained such that 0<~q_j<2. We thus provide a proof of a weak version of a conjecture proposed by Intriligator. We mention some applications of this result. |
0906.3049 | Marcelo Botta Cantcheff | Marcelo Botta Cantcheff | String Entanglement and D-branes as Pure States | 14 pages. Minor improvements. Published in Phys. Rev. D | Phys.Rev.D80:046001,2009 | 10.1103/PhysRevD.80.046001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the entanglement of closed strings degrees of freedom in order to
investigate the microscopic structure and statistics of objects as D-branes. By
considering the macroscopic pure state (MPS) limit, whenever the entanglement
entropy goes to zero (in such a way that the macroscopic properties of the
state are preserved), we show that boundary states may be recovered in this
limit and, furthermore, the description through closed string (perturbative)
degrees of freedom collapses. We also show how the thermal properties of branes
and closed strings could be described by this model, and it requires that
dissipative effects be taken into account. Extensions of the MPS analysis to
more general systems at finite temperature are finally emphasized.
| [
{
"created": "Wed, 17 Jun 2009 00:45:39 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Jun 2009 17:16:49 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Aug 2009 13:38:02 GMT",
"version": "v3"
}
] | 2009-09-02 | [
[
"Cantcheff",
"Marcelo Botta",
""
]
] | We study the entanglement of closed strings degrees of freedom in order to investigate the microscopic structure and statistics of objects as D-branes. By considering the macroscopic pure state (MPS) limit, whenever the entanglement entropy goes to zero (in such a way that the macroscopic properties of the state are preserved), we show that boundary states may be recovered in this limit and, furthermore, the description through closed string (perturbative) degrees of freedom collapses. We also show how the thermal properties of branes and closed strings could be described by this model, and it requires that dissipative effects be taken into account. Extensions of the MPS analysis to more general systems at finite temperature are finally emphasized. |
2402.02481 | Dean Carmi | Dean Carmi | Loops in AdS: From the Spectral Representation to Position Space III | 17 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study loop amplitudes in anti de-Sitter space via the spectral
representation. We consider loops of spinning fields and in particular gauge
fields, and derive various identities connecting different families of loop
diagrams, at different number of loops, different spins, different masses. Such
identities are useful for the computation of Witten diagrams. Considering the
theory of large-$N_f$ conformal scalar QED defined on AdS space, we derive an
analytic expression for the exact 4-point correlation function at sub-leading
order in $\frac{1}{N_f}$. Additionally, we derive analytic expressions for bulk
2-point functions and boundary 4-point functions for various families of
diagrams, which we denote as ``blob diagrams''. Finally we study 4-point ladder
diagrams with spinning fields, and we derive integral expressions for the
spectral representation of a $k$-loop ladder diagram.
| [
{
"created": "Sun, 4 Feb 2024 13:19:54 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Jun 2024 16:10:44 GMT",
"version": "v2"
}
] | 2024-06-18 | [
[
"Carmi",
"Dean",
""
]
] | We study loop amplitudes in anti de-Sitter space via the spectral representation. We consider loops of spinning fields and in particular gauge fields, and derive various identities connecting different families of loop diagrams, at different number of loops, different spins, different masses. Such identities are useful for the computation of Witten diagrams. Considering the theory of large-$N_f$ conformal scalar QED defined on AdS space, we derive an analytic expression for the exact 4-point correlation function at sub-leading order in $\frac{1}{N_f}$. Additionally, we derive analytic expressions for bulk 2-point functions and boundary 4-point functions for various families of diagrams, which we denote as ``blob diagrams''. Finally we study 4-point ladder diagrams with spinning fields, and we derive integral expressions for the spectral representation of a $k$-loop ladder diagram. |
hep-th/0412004 | Yoshinori Matsuo | Hikaru Kawai, Tsunehide Kuroki and Yoshinori Matsuo | Universality of Nonperturbative Effect in Type 0 String Theory | 26 pages, LaTeX | Nucl.Phys. B711 (2005) 253-274 | 10.1016/j.nuclphysb.2005.01.002 | KUNS-1946, RIKEN-TH-33 | hep-th | null | We derive the nonperturbative effect in type 0B string theory, which is
defined by taking the double scaling limit of a one-matrix model with a two-cut
eigenvalue distribution. However, the string equation thus derived cannot
determine the nonperturbative effect completely, at least without specifying
unknown boundary conditions. The nonperturbative contribution to the free
energy comes from instantons in such models. We determine by direct computation
in the matrix model an overall factor of the instanton contribution, which
cannot be determined by the string equation itself. We prove that it is
universal in the sense that it is independent of the detailed structure of
potentials in the matrix model. It turns out to be a purely imaginary number
and therefore can be interpreted as a quantity related to instability of the
D-brane in type 0 string theory. We also comment on a relation between our
result and boundary conditions for the string equation.
| [
{
"created": "Wed, 1 Dec 2004 09:52:15 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Kawai",
"Hikaru",
""
],
[
"Kuroki",
"Tsunehide",
""
],
[
"Matsuo",
"Yoshinori",
""
]
] | We derive the nonperturbative effect in type 0B string theory, which is defined by taking the double scaling limit of a one-matrix model with a two-cut eigenvalue distribution. However, the string equation thus derived cannot determine the nonperturbative effect completely, at least without specifying unknown boundary conditions. The nonperturbative contribution to the free energy comes from instantons in such models. We determine by direct computation in the matrix model an overall factor of the instanton contribution, which cannot be determined by the string equation itself. We prove that it is universal in the sense that it is independent of the detailed structure of potentials in the matrix model. It turns out to be a purely imaginary number and therefore can be interpreted as a quantity related to instability of the D-brane in type 0 string theory. We also comment on a relation between our result and boundary conditions for the string equation. |
1411.0122 | Dmitri Gal'tsov | D.V. Gal'tsov, E.Yu. Melkumova and P.A. Spirin | Energy-momentum balance in particle - domain wall perforating collision | 15 pages, Revtex4. Journal version | Phys.Rev. D90 (2014) 12, 125024 | 10.1103/PhysRevD.90.125024 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the energy-momentum balance in the perforating collision of a
point particle with an infinitely thin planar domain wall within the linearized
gravity in arbitrary dimensions. Since the metric of the wall increases with
distance, the wall and the particle are never free, and their energy-momentum
balance involves not only the instantaneous kinetic momenta, but also the
non-local contribution of gravitational stresses. However, careful analysis
shows that the stresses can be unambiguously divided between the colliding
objects leading to definition of the gravitationally dressed momenta. These
take into account for gravity in the same way as the potential energy does in
the non-relativistic theory, but our treatment is fully relativistic. Another
unusual feature of our problem is the non-vanishing flux of the total
energy-momentum tensor through the lateral surface of the world tube. In this
case the zero divergence of the energy-momentum tensor does not imply
conservation of the total momentum defined as the integral over the space-like
section of the tube. But one can still define the conservation low
infinitesimally, passing to time derivatives of the momenta. Using this
definition we establish the momentum balance in terms of the dressed particle
and wall momenta.
| [
{
"created": "Sat, 1 Nov 2014 14:42:47 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Feb 2015 19:55:43 GMT",
"version": "v2"
}
] | 2015-02-11 | [
[
"Gal'tsov",
"D. V.",
""
],
[
"Melkumova",
"E. Yu.",
""
],
[
"Spirin",
"P. A.",
""
]
] | We investigate the energy-momentum balance in the perforating collision of a point particle with an infinitely thin planar domain wall within the linearized gravity in arbitrary dimensions. Since the metric of the wall increases with distance, the wall and the particle are never free, and their energy-momentum balance involves not only the instantaneous kinetic momenta, but also the non-local contribution of gravitational stresses. However, careful analysis shows that the stresses can be unambiguously divided between the colliding objects leading to definition of the gravitationally dressed momenta. These take into account for gravity in the same way as the potential energy does in the non-relativistic theory, but our treatment is fully relativistic. Another unusual feature of our problem is the non-vanishing flux of the total energy-momentum tensor through the lateral surface of the world tube. In this case the zero divergence of the energy-momentum tensor does not imply conservation of the total momentum defined as the integral over the space-like section of the tube. But one can still define the conservation low infinitesimally, passing to time derivatives of the momenta. Using this definition we establish the momentum balance in terms of the dressed particle and wall momenta. |
2402.01228 | Julian Lang | Julian Lang, Yasha Neiman | N=2 supersymmetry in the twistor description of higher-spin holography | 40 pages, 1 figure; v2: JHEP version; restructured bulk discussion
for clarity, fixed references | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic duality between higher-spin (HS) gravity in 4d and
free vector models in 3d, with special attention to the role of N=2
supersymmetry (SUSY). For the type-A bosonic bulk theory, dual to spin-0 fields
on the boundary, there exists a twistor-space description; this maps both
single-trace boundary operators and linearized bulk fields to
spacetime-independent twistor functions, whose HS-algebra products compute all
boundary correlators. Here, we extend this description to the type-B bosonic
theory (dual to spin-1/2 fields on the boundary), and to the supersymmetric
theory containing both. A key role is played by boundary bilocals, which in
type-A are dual to the Didenko-Vasiliev 1/2-BPS "black hole". We extend this to
an infinite family of linearized 1/2-BPS "black hole" solutions. Remarkably,
the full supersymmetric theory (along with the SUSY generators) fits in the
same space of twistor functions as the type-A theory. Instead of two sets of
bosonic bulk fields, the formalism sees one set of linearized fields, but with
both types of boundary data allowed.
| [
{
"created": "Fri, 2 Feb 2024 08:48:42 GMT",
"version": "v1"
},
{
"created": "Tue, 14 May 2024 04:09:39 GMT",
"version": "v2"
}
] | 2024-05-15 | [
[
"Lang",
"Julian",
""
],
[
"Neiman",
"Yasha",
""
]
] | We study the holographic duality between higher-spin (HS) gravity in 4d and free vector models in 3d, with special attention to the role of N=2 supersymmetry (SUSY). For the type-A bosonic bulk theory, dual to spin-0 fields on the boundary, there exists a twistor-space description; this maps both single-trace boundary operators and linearized bulk fields to spacetime-independent twistor functions, whose HS-algebra products compute all boundary correlators. Here, we extend this description to the type-B bosonic theory (dual to spin-1/2 fields on the boundary), and to the supersymmetric theory containing both. A key role is played by boundary bilocals, which in type-A are dual to the Didenko-Vasiliev 1/2-BPS "black hole". We extend this to an infinite family of linearized 1/2-BPS "black hole" solutions. Remarkably, the full supersymmetric theory (along with the SUSY generators) fits in the same space of twistor functions as the type-A theory. Instead of two sets of bosonic bulk fields, the formalism sees one set of linearized fields, but with both types of boundary data allowed. |
1602.09021 | Laura Donnay | Laura Donnay | Asymptotic dynamics of three-dimensional gravity | 36 pages, 2 figures. Lecture notes prepared for the Eleventh Modave
Summer School in Mathematical Physics, September 2015, Belgium | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These are the lectures notes of the course given at the Eleventh Modave
Summer School in Mathematical Physics, 2015, aimed at PhD candidates and junior
researchers in theoretical physics. We review in details the result of
Coussaert-Henneaux-van Driel showing that the asymptotic dynamics of $(2+1)$-
dimensional gravity with negative cosmological constant is described at the
classical level by Liouville theory. Boundary conditions implement the
asymptotic reduction in two steps: the first set reduces the $SL(2,\mathbb
R)\times SL(2,\mathbb R)$ Chern-Simons action, equivalent to the Einstein
action, to a non-chiral $SL(2,\mathbb R)$ Wess-Zumino-Witten model, while the
second set imposes constraints on the WZW currents that reduce further the
action to Liouville theory. We discuss the issues of considering the latter as
an effective description of the dual conformal field theory describing AdS$_3$
gravity beyond the semi-classical regime.
| [
{
"created": "Mon, 29 Feb 2016 16:07:44 GMT",
"version": "v1"
}
] | 2016-03-01 | [
[
"Donnay",
"Laura",
""
]
] | These are the lectures notes of the course given at the Eleventh Modave Summer School in Mathematical Physics, 2015, aimed at PhD candidates and junior researchers in theoretical physics. We review in details the result of Coussaert-Henneaux-van Driel showing that the asymptotic dynamics of $(2+1)$- dimensional gravity with negative cosmological constant is described at the classical level by Liouville theory. Boundary conditions implement the asymptotic reduction in two steps: the first set reduces the $SL(2,\mathbb R)\times SL(2,\mathbb R)$ Chern-Simons action, equivalent to the Einstein action, to a non-chiral $SL(2,\mathbb R)$ Wess-Zumino-Witten model, while the second set imposes constraints on the WZW currents that reduce further the action to Liouville theory. We discuss the issues of considering the latter as an effective description of the dual conformal field theory describing AdS$_3$ gravity beyond the semi-classical regime. |
hep-th/9304018 | Kondo | K.-I. Kondo and K. Yoshida | Finite-Temperature and -Density QED: Schwinger-Dyson Equation in the
Real-Time Formalism | 28 pages+15 figures (figures: not included, available upon request) | Int.J.Mod.Phys. A10 (1995) 199-232 | 10.1142/S0217751X95000103 | CHIBA-EP-67 | hep-th | null | Based on the real-time formalism, especially, on Thermo Field Dynamics, we
derive the Schwinger-Dyson gap equation for the fermion propagator in QED and
Four-Fermion model at finite-temperature and -density. We discuss some
advantage of the real-time formalism in solving the self-consistent gap
equation, in comparison with the ordinary imaginary-time formalism. Once we
specify the vertex function, we can write down the SD equation with only
continuous variables without performing the discrete sum over Matsubara
frequencies which cannot be performed in advance without further approximation
in the imaginary-time formalism. By solving the SD equation obtained in this
way, we find the chiral-symmetry restoring transition at finite-temperature and
present the associated phase diagram of strong coupling QED.
In solving the SD equation, we consider two approximations:
instantaneous-exchange and $p_0$-independent ones. The former has a direct
correspondence in the imaginary time formalism, while the latter is a new
approximation beyond the former, since the latter is able to incorporate new
thermal effects which has been overlooked in the ordinary imaginary-time
solution. However both approximations are shown to give qualitatively the same
results on the finite-temperature phase transition.
| [
{
"created": "Tue, 6 Apr 1993 11:22:49 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Kondo",
"K. -I.",
""
],
[
"Yoshida",
"K.",
""
]
] | Based on the real-time formalism, especially, on Thermo Field Dynamics, we derive the Schwinger-Dyson gap equation for the fermion propagator in QED and Four-Fermion model at finite-temperature and -density. We discuss some advantage of the real-time formalism in solving the self-consistent gap equation, in comparison with the ordinary imaginary-time formalism. Once we specify the vertex function, we can write down the SD equation with only continuous variables without performing the discrete sum over Matsubara frequencies which cannot be performed in advance without further approximation in the imaginary-time formalism. By solving the SD equation obtained in this way, we find the chiral-symmetry restoring transition at finite-temperature and present the associated phase diagram of strong coupling QED. In solving the SD equation, we consider two approximations: instantaneous-exchange and $p_0$-independent ones. The former has a direct correspondence in the imaginary time formalism, while the latter is a new approximation beyond the former, since the latter is able to incorporate new thermal effects which has been overlooked in the ordinary imaginary-time solution. However both approximations are shown to give qualitatively the same results on the finite-temperature phase transition. |
1707.00521 | Carlos Hoyos Badajoz | Christian Ecker, Carlos Hoyos, Niko Jokela, David Rodr\'iguez
Fern\'andez and Aleksi Vuorinen | Stiff phases in strongly coupled gauge theories with holographic duals | 22 pages+appendices, 12 figures | JHEP11(2017)031 | 10.1007/JHEP11(2017)031 | FPAUO-17/10, HIP-2017-13/TH | hep-th astro-ph.HE nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to common lore, Equations of State of field theories with gravity
duals tend to be soft, with speeds of sound either below or around the
conformal value of $v_s=1/\sqrt{3}$. This has important consequences in
particular for the physics of compact stars, where the detection of two solar
mass neutron stars has been shown to require very stiff equations of state. In
this paper, we show that no speed limit exists for holographic models at finite
density, explicitly constructing examples where the speed of sound becomes
arbitrarily close to that of light. This opens up the possibility of building
hybrid stars that contain quark matter obeying a holographic equation of state
in their cores.
| [
{
"created": "Mon, 3 Jul 2017 13:03:25 GMT",
"version": "v1"
}
] | 2017-12-05 | [
[
"Ecker",
"Christian",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Jokela",
"Niko",
""
],
[
"Fernández",
"David Rodríguez",
""
],
[
"Vuorinen",
"Aleksi",
""
]
] | According to common lore, Equations of State of field theories with gravity duals tend to be soft, with speeds of sound either below or around the conformal value of $v_s=1/\sqrt{3}$. This has important consequences in particular for the physics of compact stars, where the detection of two solar mass neutron stars has been shown to require very stiff equations of state. In this paper, we show that no speed limit exists for holographic models at finite density, explicitly constructing examples where the speed of sound becomes arbitrarily close to that of light. This opens up the possibility of building hybrid stars that contain quark matter obeying a holographic equation of state in their cores. |
1304.3903 | Ignacy Sawicki | Damien A. Easson (Arizona State U.), Ignacy Sawicki (U. Heidelberg,
ITP) and Alexander Vikman (CERN and Stanford U.) | When Matter Matters | 16 pages, 3 figures. v2 reflects version accepted for publication in
JCAP. Changes include a reorganisation of section order, a new figure 1 and
additional references | JCAP07(2013)014 | 10.1088/1475-7516/2013/07/014 | CERN-PH-TH/2013-074 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a recently proposed scenario for the early universe: Subluminal
Galilean Genesis. We prove that without any other matter present in the
spatially flat Friedmann universe, the perturbations of the Galileon scalar
field propagate with a speed at most equal to the speed of light. This proof
applies to all cosmological solutions -- to the whole phase space.
However, in a more realistic situation, when one includes any matter which is
not directly coupled to the Galileon, there always exists a region of phase
space where these perturbations propagate superluminally, indeed with
arbitrarily high speed. We illustrate our analytic proof with numerical
computations. We discuss the implications of this result for the possible UV
completion of the model.
| [
{
"created": "Sun, 14 Apr 2013 10:58:54 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2013 14:33:52 GMT",
"version": "v2"
}
] | 2013-07-11 | [
[
"Easson",
"Damien A.",
"",
"Arizona State U."
],
[
"Sawicki",
"Ignacy",
"",
"U. Heidelberg,\n ITP"
],
[
"Vikman",
"Alexander",
"",
"CERN and Stanford U."
]
] | We study a recently proposed scenario for the early universe: Subluminal Galilean Genesis. We prove that without any other matter present in the spatially flat Friedmann universe, the perturbations of the Galileon scalar field propagate with a speed at most equal to the speed of light. This proof applies to all cosmological solutions -- to the whole phase space. However, in a more realistic situation, when one includes any matter which is not directly coupled to the Galileon, there always exists a region of phase space where these perturbations propagate superluminally, indeed with arbitrarily high speed. We illustrate our analytic proof with numerical computations. We discuss the implications of this result for the possible UV completion of the model. |
1304.4403 | Elena-Mirela Babalic Dr | C. I. Lazaroiu, E. M. Babalic, I. A. Coman | The geometric algebra of Fierz identities in arbitrary dimensions and
signatures | 77 pages; version published in JHEP in 2013 | JHEP09(2013)156 | 10.1007/JHEP09(2013)156 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use geometric algebra techniques to give a synthetic and computationally
efficient approach to Fierz identities in arbitrary dimensions and signatures,
thus generalizing previous work. Our approach leads to a formulation which
displays the underlying real, complex or quaternionic structure in an explicit
and conceptually clear manner and is amenable to implementation in various
symbolic computation systems. We illustrate our methods and results with a few
examples which display the basic features of the three classes of pin
representations governing the structure of such identities in various
dimensions and signatures.
| [
{
"created": "Tue, 16 Apr 2013 11:46:51 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Oct 2013 14:00:12 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Mar 2016 09:23:40 GMT",
"version": "v3"
},
{
"created": "Tue, 4 Apr 2017 11:38:34 GMT",
"version": "v4"
}
] | 2017-04-05 | [
[
"Lazaroiu",
"C. I.",
""
],
[
"Babalic",
"E. M.",
""
],
[
"Coman",
"I. A.",
""
]
] | We use geometric algebra techniques to give a synthetic and computationally efficient approach to Fierz identities in arbitrary dimensions and signatures, thus generalizing previous work. Our approach leads to a formulation which displays the underlying real, complex or quaternionic structure in an explicit and conceptually clear manner and is amenable to implementation in various symbolic computation systems. We illustrate our methods and results with a few examples which display the basic features of the three classes of pin representations governing the structure of such identities in various dimensions and signatures. |
2205.00612 | Alex Buchel | Alex Buchel | The quest for a conifold conformal order | 33 pages, 13 figures; v2: footnote 1 added, JHEP version | null | 10.1007/JHEP08(2022)080 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The holographic duality between cascading gauge theory and type IIB
supergravity on warped deformed conifold with fluxes reveals exotic thermal
phases with nonzero expectation values of certain operators, persistent to high
temperatures. These phases, in the limit of vanishing the strong coupling scale
of the cascading gauge theory, would realize thermal ordered conformal phases
in relativistic QFTs. We find that the dual Klebanov-Strassler and
Klebanov-Tseytlin black branes in this limit are outside the regime of the
supergravity approximation, rendering the construction of such conformal
ordered states unreliable. While we have been able to construct conformal order
in phenomenologically deformed effective theory of type IIB supergravity
reduced on warped deformed conifold with fluxes, the removal of the deformation
parameter causes the destruction of the thermal conformal ordered phases. Once
again, we find that the holographic models with the conformal ordered phases
are in the String Theory swampland.
| [
{
"created": "Mon, 2 May 2022 01:42:32 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jun 2022 15:50:06 GMT",
"version": "v2"
}
] | 2022-08-24 | [
[
"Buchel",
"Alex",
""
]
] | The holographic duality between cascading gauge theory and type IIB supergravity on warped deformed conifold with fluxes reveals exotic thermal phases with nonzero expectation values of certain operators, persistent to high temperatures. These phases, in the limit of vanishing the strong coupling scale of the cascading gauge theory, would realize thermal ordered conformal phases in relativistic QFTs. We find that the dual Klebanov-Strassler and Klebanov-Tseytlin black branes in this limit are outside the regime of the supergravity approximation, rendering the construction of such conformal ordered states unreliable. While we have been able to construct conformal order in phenomenologically deformed effective theory of type IIB supergravity reduced on warped deformed conifold with fluxes, the removal of the deformation parameter causes the destruction of the thermal conformal ordered phases. Once again, we find that the holographic models with the conformal ordered phases are in the String Theory swampland. |
hep-th/0301252 | Jean Dominique Laenge | J.D.Laenge, M.Engelhardt, H.Reinhardt | Energy Density of Vortices in the Schroedinger Picture | 25 pages, 2 figures | Phys.Rev. D68 (2003) 025001 | 10.1103/PhysRevD.68.025001 | null | hep-th | null | The one-loop energy density of an infinitely thin static magnetic vortex in
SU(2) Yang-Mills theory is evaluated using the Schroedinger picture. Both the
gluonic fluctuations as well as the quarks in the vortex background are
included. The energy density of the magnetic vortex is discussed as a function
of the magnetic flux. The center vortices correspond to local minima in the
effective potential. These minima are degenerated with the perturbative vacuum
if the fermions are ignored. Inclusion of fermions lifts this degeneracy,
raising the vortex energy above the energy of the perturbative vacuum.
| [
{
"created": "Fri, 31 Jan 2003 09:53:37 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Laenge",
"J. D.",
""
],
[
"Engelhardt",
"M.",
""
],
[
"Reinhardt",
"H.",
""
]
] | The one-loop energy density of an infinitely thin static magnetic vortex in SU(2) Yang-Mills theory is evaluated using the Schroedinger picture. Both the gluonic fluctuations as well as the quarks in the vortex background are included. The energy density of the magnetic vortex is discussed as a function of the magnetic flux. The center vortices correspond to local minima in the effective potential. These minima are degenerated with the perturbative vacuum if the fermions are ignored. Inclusion of fermions lifts this degeneracy, raising the vortex energy above the energy of the perturbative vacuum. |
hep-th/0403271 | Matthias R. Gaberdiel | Matthias R Gaberdiel, Terry Gannon and Daniel Roggenkamp | The D-branes of SU(n) | 13 pages | JHEP 0407 (2004) 015 | 10.1088/1126-6708/2004/07/015 | null | hep-th | null | D-branes that appear to generate all the K-theory charges of string theory on
SU(n) are constructed, and their charges are determined.
| [
{
"created": "Sat, 27 Mar 2004 18:09:27 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Gaberdiel",
"Matthias R",
""
],
[
"Gannon",
"Terry",
""
],
[
"Roggenkamp",
"Daniel",
""
]
] | D-branes that appear to generate all the K-theory charges of string theory on SU(n) are constructed, and their charges are determined. |
1408.2915 | Rodrigo Bufalo | R. Bufalo | Lorentz-violating effects in three-dimensional $QED$ | 14 pages, to appear at Int. J. Mod. Phys. A | Int. J. Mod. Phys. A 29, 1450112 (2014) | 10.1142/S0217751X14501127 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired in discussions presented lately regarding Lorentz-violating
interaction terms in \cite{13,6}, we propose here a slightly different version
for the coupling term. We will consider a modified quantum electrodynamics with
violation of Lorentz symmetry defined in a $\left( 2+1\right) $-dimensional
spacetime. We define the Lagrangian density with a Lorentz-violating
interaction, where the the spacetime dimensionality is explicitly taken into
account in its definition. The work encompasses an analysis of this model at
both zero and finite-temperature, where very interesting features are known to
occur due to the spacetime dimensionality. With that in mind we expect that the
spacetime dimensionality may provide new insights about the radiative
generation of higher-derivative terms into the action, implying in a new
Lorentz-violating electrodynamics, as well the nonminimal coupling may provide
interesting implications on the thermodynamical quantities.
| [
{
"created": "Wed, 13 Aug 2014 05:42:29 GMT",
"version": "v1"
}
] | 2014-08-19 | [
[
"Bufalo",
"R.",
""
]
] | Inspired in discussions presented lately regarding Lorentz-violating interaction terms in \cite{13,6}, we propose here a slightly different version for the coupling term. We will consider a modified quantum electrodynamics with violation of Lorentz symmetry defined in a $\left( 2+1\right) $-dimensional spacetime. We define the Lagrangian density with a Lorentz-violating interaction, where the the spacetime dimensionality is explicitly taken into account in its definition. The work encompasses an analysis of this model at both zero and finite-temperature, where very interesting features are known to occur due to the spacetime dimensionality. With that in mind we expect that the spacetime dimensionality may provide new insights about the radiative generation of higher-derivative terms into the action, implying in a new Lorentz-violating electrodynamics, as well the nonminimal coupling may provide interesting implications on the thermodynamical quantities. |
hep-th/0011121 | Changhyun Ahn | Changhyun Ahn and Kyungsung Woo | Supersymmetric Domain Wall and RG Flow from 4-Dimensional Gauged N=8
Supergravity | latex, 43pages, one figure, four tables; typos corrected, ref.[24]
added, appendix shortened and to appear in Nucl.Phys.B | Nucl.Phys. B599 (2001) 83-118 | 10.1016/S0550-3213(01)00008-6 | null | hep-th | null | By studying various, known extrema of 1) SU(3) sectors, 2) SO(5) sectors and
3) SO(3)xSO(3) sectors of gauged N =8 supergravity in four-dimensions, one
finds that the deformation of seven sphere \S^7 gives rise to non-trivial
renormalization group(RG) flow in three-dimensional boundary conformal field
theory from UV fixed point to IR fixed point. For SU(3) sectors, this leads to
four-parameter subspace of the supergravity scalar-gravity action and we
identify one of the eigenvalues of A_1 tensor of the theory with a
superpotential of scalar potential that governs RG flows on this subspace. We
analyze some of the structure of the superpotential and discuss first-order BPS
domain-wall solutions, using some algebraic relations between superpotential
and derivatives of it with respect to fields, that determine a (super)symmetric
kink solution in four-dimensional N =8 supergravity, which generalizes all the
previous considerations. The BPS domain-wall solutions are equivalent to
vanishing of variation of spin 1/2, 3/2 fields in the supersymmetry preserving
bosonic background of gauged N=8 supergravity. For SO(5) sectors, there exist
only nontrivial nonsupersymmetric critical points that are unstable and
included in SU(3) sectors. For SO(3)xSO(3) sectors, we construct the scalar
potential(never been written) explicitly and study explicit construction of
first-order domain-wall solutions.
| [
{
"created": "Tue, 14 Nov 2000 13:04:35 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Dec 2000 02:51:10 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Ahn",
"Changhyun",
""
],
[
"Woo",
"Kyungsung",
""
]
] | By studying various, known extrema of 1) SU(3) sectors, 2) SO(5) sectors and 3) SO(3)xSO(3) sectors of gauged N =8 supergravity in four-dimensions, one finds that the deformation of seven sphere \S^7 gives rise to non-trivial renormalization group(RG) flow in three-dimensional boundary conformal field theory from UV fixed point to IR fixed point. For SU(3) sectors, this leads to four-parameter subspace of the supergravity scalar-gravity action and we identify one of the eigenvalues of A_1 tensor of the theory with a superpotential of scalar potential that governs RG flows on this subspace. We analyze some of the structure of the superpotential and discuss first-order BPS domain-wall solutions, using some algebraic relations between superpotential and derivatives of it with respect to fields, that determine a (super)symmetric kink solution in four-dimensional N =8 supergravity, which generalizes all the previous considerations. The BPS domain-wall solutions are equivalent to vanishing of variation of spin 1/2, 3/2 fields in the supersymmetry preserving bosonic background of gauged N=8 supergravity. For SO(5) sectors, there exist only nontrivial nonsupersymmetric critical points that are unstable and included in SU(3) sectors. For SO(3)xSO(3) sectors, we construct the scalar potential(never been written) explicitly and study explicit construction of first-order domain-wall solutions. |
0803.1194 | Frederik Denef | Frederik Denef | Les Houches Lectures on Constructing String Vacua | 127 pages, 17 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These lectures give a detailed introduction to constructing and analyzing
string vacua suitable for phenomenological model building, with particular
emphasis on F-theory flux vacua. Topics include (1) general challenges and
overview of some proposed scenarios, (2) an extensive introduction to F-theory
and its relation to M-theory and perturbative IIB string theory, (3) F-theory
flux vacua and moduli stabilization scenarios, (4) a practical geometrical
toolkit for constructing string vacua from scratch, (5) statistics of flux
vacua, and (6) explicit models.
| [
{
"created": "Fri, 7 Mar 2008 23:18:30 GMT",
"version": "v1"
}
] | 2008-03-11 | [
[
"Denef",
"Frederik",
""
]
] | These lectures give a detailed introduction to constructing and analyzing string vacua suitable for phenomenological model building, with particular emphasis on F-theory flux vacua. Topics include (1) general challenges and overview of some proposed scenarios, (2) an extensive introduction to F-theory and its relation to M-theory and perturbative IIB string theory, (3) F-theory flux vacua and moduli stabilization scenarios, (4) a practical geometrical toolkit for constructing string vacua from scratch, (5) statistics of flux vacua, and (6) explicit models. |
0911.0301 | Bo Feng | Bo Feng, Junqi Wang, Yihong Wang, Zhibai Zhang | BCFW Recursion Relation with Nonzero Boundary Contribution | 34 pages, 8 figures. Figure 1 has been changed | JHEP 1001:019,2010 | 10.1007/JHEP01(2010)019 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The appearance of BCFW on-shell recursion relation has deepen our
understanding of quantum field theory, especially the one with gauge boson and
graviton. To be able to write the BCFW recursion relation, the knowledge of
boundary contributions is needed. So far, most applications have been
constrained to the cases where the boundary contribution is zero. In this
paper, we show that for some theories, although there is no proper deformation
to annihilate the boundary contribution, its effects can be analyzed in simple
way, thus we do able to write down the BCFW recursion relation with boundary
contributions. The examples we will present in this paper include the
lambda-phi-four theory and Yukawa coupling between fermions and scalars.
| [
{
"created": "Mon, 2 Nov 2009 13:08:14 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Nov 2009 08:16:36 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Dec 2009 12:52:32 GMT",
"version": "v3"
}
] | 2010-03-01 | [
[
"Feng",
"Bo",
""
],
[
"Wang",
"Junqi",
""
],
[
"Wang",
"Yihong",
""
],
[
"Zhang",
"Zhibai",
""
]
] | The appearance of BCFW on-shell recursion relation has deepen our understanding of quantum field theory, especially the one with gauge boson and graviton. To be able to write the BCFW recursion relation, the knowledge of boundary contributions is needed. So far, most applications have been constrained to the cases where the boundary contribution is zero. In this paper, we show that for some theories, although there is no proper deformation to annihilate the boundary contribution, its effects can be analyzed in simple way, thus we do able to write down the BCFW recursion relation with boundary contributions. The examples we will present in this paper include the lambda-phi-four theory and Yukawa coupling between fermions and scalars. |
1506.01156 | Sergey Gavrilov P | S.P. Gavrilov and D.M. Gitman | Quantization of charged fields in the presence of critical potential
steps | 58 pages, 3 figures, misprints corrected, version accepted for
publication in Physical Review D | Phys. Rev. D 93, 045002 (2016) | 10.1103/PhysRevD.93.045002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | QFT approaches elaborated for treating quantum effects in time-dependent
external electric fields are not directly applicable to time-independent
nonuniform electric fields that are given by a step potential and their
generalization for the such potentials was not sufficiently developed. Such
fields can also create particles from the vacuum, the Klein paradox being
closely related to this process. We believe that the present work presents a
consistent solution of the latter problem. Quantizing the Dirac and scalar
fields with time independent backgrounds, we have found in- and out-creation
and annihilation operators that allow one to have particle interpretation of
the physical system under consideration. To justify the proposed
identification, we have performed a detailed mathematical and physical analysis
of solutions of the corresponding relativistic wave equations with a subsequent
QFT analysis. We elaborated a nonperturbative technique that allows one to
calculate all characteristics of zero-order processes such scattering,
reflection, and electron-positron pair creation, and to calculate Feynman
diagrams that describe all characteristics of processes with interaction
between the in-, out-particles and photons. These diagrams have formally the
usual form, but contain special propagators. Expressions for these propagators
in terms of in- and out-solutions are presented. We apply the elaborated
approach to two popular exactly solvable cases: to the Sauter potential and to
the Klein step.
| [
{
"created": "Wed, 3 Jun 2015 08:11:49 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jul 2015 18:17:42 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Aug 2015 16:16:03 GMT",
"version": "v3"
},
{
"created": "Mon, 4 Jan 2016 13:31:08 GMT",
"version": "v4"
},
{
"cre... | 2016-03-02 | [
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
]
] | QFT approaches elaborated for treating quantum effects in time-dependent external electric fields are not directly applicable to time-independent nonuniform electric fields that are given by a step potential and their generalization for the such potentials was not sufficiently developed. Such fields can also create particles from the vacuum, the Klein paradox being closely related to this process. We believe that the present work presents a consistent solution of the latter problem. Quantizing the Dirac and scalar fields with time independent backgrounds, we have found in- and out-creation and annihilation operators that allow one to have particle interpretation of the physical system under consideration. To justify the proposed identification, we have performed a detailed mathematical and physical analysis of solutions of the corresponding relativistic wave equations with a subsequent QFT analysis. We elaborated a nonperturbative technique that allows one to calculate all characteristics of zero-order processes such scattering, reflection, and electron-positron pair creation, and to calculate Feynman diagrams that describe all characteristics of processes with interaction between the in-, out-particles and photons. These diagrams have formally the usual form, but contain special propagators. Expressions for these propagators in terms of in- and out-solutions are presented. We apply the elaborated approach to two popular exactly solvable cases: to the Sauter potential and to the Klein step. |
1303.3982 | Hajime Aoki | Hajime Aoki | Probability distribution over some phenomenological models in the matrix
model compactified on a torus | 45 pages. arXiv admin note: substantial text overlap with
arXiv:1209.4514; ver2: text revised; ver3: version published in PTEP | null | 10.1093/ptep/ptt068 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study some phenomenological models in a matrix model corresponding to the
IIB matrix model compactified on a six-dimensional torus with magnetic fluxes.
Extending our previous works, we examine a wider class of models: a
Pati-Salam-like model with a gauge group U(4)*U_L(2)*U_R(2), and models where
the gauge group U(4) is broken down to U_c(3)*U(1) and/or U_R(2) is broken down
to U(1)^2. We find all the matrix configurations that yield matter content of
all the phenomenological models whose gauge group is a subgroup of U(8). We
then estimate semiclassically a probability distribution for the appearance of
the phenomenological models.
| [
{
"created": "Sat, 16 Mar 2013 14:15:35 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Apr 2013 14:49:52 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Sep 2013 07:45:52 GMT",
"version": "v3"
}
] | 2014-05-07 | [
[
"Aoki",
"Hajime",
""
]
] | We study some phenomenological models in a matrix model corresponding to the IIB matrix model compactified on a six-dimensional torus with magnetic fluxes. Extending our previous works, we examine a wider class of models: a Pati-Salam-like model with a gauge group U(4)*U_L(2)*U_R(2), and models where the gauge group U(4) is broken down to U_c(3)*U(1) and/or U_R(2) is broken down to U(1)^2. We find all the matrix configurations that yield matter content of all the phenomenological models whose gauge group is a subgroup of U(8). We then estimate semiclassically a probability distribution for the appearance of the phenomenological models. |
0905.3893 | Jan Willem Wagenaar | J.W.Wagenaar and T.A.Rijken | On the Quantization of the Higher Spin Fields | 25 pages | null | 10.1103/PhysRevD.80.104027 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we quantize (massive) higher spin ($1\leq j\leq2$) fields by
means of Dirac's Constrained Hamilton procedure both in the situation were they
are totally free and were they are coupled to (an) auxiliary field(s). A full
constraint analysis and quantization is presented by determining and discussing
all constraints and Lagrange multipliers and by giving all equal times (anti)
commutation relations. Also we construct the relevant propagators. In the free
case we obtain the well-known propagators and show that they are not covariant,
which is also well known. In the coupled case we do obtain covariant
propagators (in the spin-3/2 case this requires $b=0$) and show that they have
a smooth massless limit connecting perfectly to the massless case (with
auxiliary fields). We notice that in our system of the spin-3/2 and spin-2 case
the massive propagators coupled to conserved currents only have a smooth limit
to the pure massless spin-propagator, when there are ghosts in the massive
case.
| [
{
"created": "Sun, 24 May 2009 12:00:08 GMT",
"version": "v1"
}
] | 2013-05-29 | [
[
"Wagenaar",
"J. W.",
""
],
[
"Rijken",
"T. A.",
""
]
] | In this article we quantize (massive) higher spin ($1\leq j\leq2$) fields by means of Dirac's Constrained Hamilton procedure both in the situation were they are totally free and were they are coupled to (an) auxiliary field(s). A full constraint analysis and quantization is presented by determining and discussing all constraints and Lagrange multipliers and by giving all equal times (anti) commutation relations. Also we construct the relevant propagators. In the free case we obtain the well-known propagators and show that they are not covariant, which is also well known. In the coupled case we do obtain covariant propagators (in the spin-3/2 case this requires $b=0$) and show that they have a smooth massless limit connecting perfectly to the massless case (with auxiliary fields). We notice that in our system of the spin-3/2 and spin-2 case the massive propagators coupled to conserved currents only have a smooth limit to the pure massless spin-propagator, when there are ghosts in the massive case. |
1112.4612 | Sergei Kuzenko | S. M. Kuzenko and A. G. Sibiryakov | Free massless higher-superspin superfields on the anti-de Sitter
superspace | 24 pages | Yad. Fiz. 57 (1994) 1326 [Phys. Atom. Nucl. 57 (1994) 1257] | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Free massless higher-superspin superfields on the N=1, D=4 anti-de Sitter
superspace are introduced. The linearized gauge transformations are postulated.
Two families of dually equivalent gauge-invariant action functionals are
constructed for massless half-integer-superspin s+1/2 (s >= 2) and
integer-superspin s (s >= 1) superfields. For s=1, one of the formulations for
half-integer superspin multiplets reduces to linearized minimal N=1
supergravity with a cosmological term, while the other is the lifting to the
anti-de Sitter superspace of linearized non-minimal n=-1 supergravity.
| [
{
"created": "Tue, 20 Dec 2011 09:10:02 GMT",
"version": "v1"
}
] | 2011-12-21 | [
[
"Kuzenko",
"S. M.",
""
],
[
"Sibiryakov",
"A. G.",
""
]
] | Free massless higher-superspin superfields on the N=1, D=4 anti-de Sitter superspace are introduced. The linearized gauge transformations are postulated. Two families of dually equivalent gauge-invariant action functionals are constructed for massless half-integer-superspin s+1/2 (s >= 2) and integer-superspin s (s >= 1) superfields. For s=1, one of the formulations for half-integer superspin multiplets reduces to linearized minimal N=1 supergravity with a cosmological term, while the other is the lifting to the anti-de Sitter superspace of linearized non-minimal n=-1 supergravity. |
1207.6283 | A. Gynther | A. Gynther, A. Rebhan and D. Steineder | Thermodynamics and phase diagram of anisotropic Chern-Simons deformed
gauge theories | 23 pages, 7 figures, v2: low temperature expansion corrected,
references added, some discussion expanded | null | 10.1007/JHEP10(2012)012 | TUW-12-18 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider 3+1-dimensional gauge theories at finite temperature and a finite
density of charges which couple to a 2+1-dimensional Chern-Simons operator,
giving rise to a theta-term with constant spatial gradient of theta. The
strong-coupling limit of thermal N=4 super-Yang-Mills theory with this kind of
anisotropic deformation has been used in the context of the AdS/CFT
correspondence as a model for strongly coupled anisotropic quark-gluon plasma.
In this paper we work out the thermodynamics and the (nontrivial) phase diagram
in the limit of vanishing gauge coupling and compare with the corresponding
strong-coupling results.
| [
{
"created": "Thu, 26 Jul 2012 14:08:27 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Aug 2012 19:53:03 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Gynther",
"A.",
""
],
[
"Rebhan",
"A.",
""
],
[
"Steineder",
"D.",
""
]
] | We consider 3+1-dimensional gauge theories at finite temperature and a finite density of charges which couple to a 2+1-dimensional Chern-Simons operator, giving rise to a theta-term with constant spatial gradient of theta. The strong-coupling limit of thermal N=4 super-Yang-Mills theory with this kind of anisotropic deformation has been used in the context of the AdS/CFT correspondence as a model for strongly coupled anisotropic quark-gluon plasma. In this paper we work out the thermodynamics and the (nontrivial) phase diagram in the limit of vanishing gauge coupling and compare with the corresponding strong-coupling results. |
1907.09518 | Evgeny Ivanov | F. Delduc, E. Ivanov | ${\cal N}{=}4$ Supersymmetric $d=1$ Sigma Models on Group Manifolds | 0 + 32 pages, some typos corrected in Abstract, eqs. (2.13), (4.19)
and (4.36) | Nucl.Phys. B949 (2019) 114806 | 10.1016/j.nuclphysb.2019.114806 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct manifestly ${\cal N}=4$ supersymmetric off-shell superfield
actions for the HKT $d=1$ sigma models on the group manifolds U(2) and SU(3),
using the harmonic $d=1$ approach. The underlying $({\bf 4, 4, 0})$ and $({\bf
4, 4, 0})\oplus({\bf 4, 4, 0})$ multiplets are described, respectively, by one
and two harmonic analytic superfields $q^+$ satisfying the appropriate
nonlinear harmonic constraints. The invariant actions in both cases are
bilinear in the superfields. We present the corresponding superfield
realizations of the U(2) and SU(3) isometries and show that in fact they are
enlarged to the products U(2)$\times$SU(2) and SU(3)$\times$U(2). We prove the
corresponding invariances at both the superfield and component levels and
present the bosonic $d=1$ sigma model actions, as integral over $t$ in the U(2)
case and over $t$ and ${\rm SU}(2)$ harmonics in the SU(3) case. In the U(2)
case we also give a detailed comparison with the general harmonic approach to
HKT models and establish a correspondence with a particular action of the
off-shell nonlinear multiplet $({\bf 3, 4, 1})$. A possible way of generalizing
U(2) model to the matrix U($2n$) case is suggested.
| [
{
"created": "Mon, 22 Jul 2019 18:37:03 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Oct 2019 18:30:41 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Dec 2020 13:31:51 GMT",
"version": "v3"
}
] | 2021-01-01 | [
[
"Delduc",
"F.",
""
],
[
"Ivanov",
"E.",
""
]
] | We construct manifestly ${\cal N}=4$ supersymmetric off-shell superfield actions for the HKT $d=1$ sigma models on the group manifolds U(2) and SU(3), using the harmonic $d=1$ approach. The underlying $({\bf 4, 4, 0})$ and $({\bf 4, 4, 0})\oplus({\bf 4, 4, 0})$ multiplets are described, respectively, by one and two harmonic analytic superfields $q^+$ satisfying the appropriate nonlinear harmonic constraints. The invariant actions in both cases are bilinear in the superfields. We present the corresponding superfield realizations of the U(2) and SU(3) isometries and show that in fact they are enlarged to the products U(2)$\times$SU(2) and SU(3)$\times$U(2). We prove the corresponding invariances at both the superfield and component levels and present the bosonic $d=1$ sigma model actions, as integral over $t$ in the U(2) case and over $t$ and ${\rm SU}(2)$ harmonics in the SU(3) case. In the U(2) case we also give a detailed comparison with the general harmonic approach to HKT models and establish a correspondence with a particular action of the off-shell nonlinear multiplet $({\bf 3, 4, 1})$. A possible way of generalizing U(2) model to the matrix U($2n$) case is suggested. |
0902.3407 | She-Sheng Xue | She-Sheng Xue | Quantum Regge Calculus of Einstein-Cartan theory | The title, abstract and content of this article have been modified.
The version to appear in Phys. Lett. B. 11 pages, 1 figure | Phys. Lett. B682 (2009) 300 | 10.1016/j.physletb.2009.10.082 | null | hep-th gr-qc hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Quantum Regge Calculus of Einstein-Cartan theory to describe
quantum dynamics of Euclidean space-time discretized as a 4-simplices complex.
Tetrad field e_\mu(x) and spin-connection field \omega_\mu(x) are assigned to
each 1-simplex. Applying the torsion-free Cartan structure equation to each
2-simplex, we discuss parallel transports and construct a diffeomorphism and
{\it local} gauge-invariant Einstein-Cartan action. Invariant holonomies of
tetrad and spin-connection fields along large loops are also given.
Quantization is defined by a bounded partition function with the measure of
SO(4)-group valued \omega_\mu(x) fields and Dirac-matrix valued e_\mu(x) fields
over 4-simplices complex.
| [
{
"created": "Thu, 19 Feb 2009 16:44:19 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Apr 2009 07:36:29 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Jul 2009 11:41:37 GMT",
"version": "v3"
},
{
"created": "Thu, 12 Nov 2009 15:23:28 GMT",
"version": "v4"
}
] | 2009-12-14 | [
[
"Xue",
"She-Sheng",
""
]
] | We study the Quantum Regge Calculus of Einstein-Cartan theory to describe quantum dynamics of Euclidean space-time discretized as a 4-simplices complex. Tetrad field e_\mu(x) and spin-connection field \omega_\mu(x) are assigned to each 1-simplex. Applying the torsion-free Cartan structure equation to each 2-simplex, we discuss parallel transports and construct a diffeomorphism and {\it local} gauge-invariant Einstein-Cartan action. Invariant holonomies of tetrad and spin-connection fields along large loops are also given. Quantization is defined by a bounded partition function with the measure of SO(4)-group valued \omega_\mu(x) fields and Dirac-matrix valued e_\mu(x) fields over 4-simplices complex. |
1904.00494 | Mauricio Valenzuela | Cristian Quinzacara, Paola Meza, Almeira Sampson and Mauricio
Valenzuela | Electromagnetically and gravitationally stealth fields | 13 pages. References and new comments have been added to this new
version. The title has been changed | JCAP 03 (2023) 032 | 10.1088/1475-7516/2023/03/032 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We construct a generic class of models for complex scalar fields -- minimally
coupled to gravity and electromagnetism -- with the property that their
energy-momentum tensor and the electric current vanish for certain massive
configurations. These are electromagnetically and gravitationally {\it stealth
fields}. We shall see that the latter configurations can affect, in addition,
the strength of the gravity-matter and electromagnetic-matter couplings of
other (non-stealth) modes present in the system, which turn out to be
equivalent to the re-scaling the electric charge and the Newton constant (with
a stealth-mass depending factor).
| [
{
"created": "Sun, 31 Mar 2019 22:10:01 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2023 15:32:45 GMT",
"version": "v2"
}
] | 2023-03-24 | [
[
"Quinzacara",
"Cristian",
""
],
[
"Meza",
"Paola",
""
],
[
"Sampson",
"Almeira",
""
],
[
"Valenzuela",
"Mauricio",
""
]
] | We construct a generic class of models for complex scalar fields -- minimally coupled to gravity and electromagnetism -- with the property that their energy-momentum tensor and the electric current vanish for certain massive configurations. These are electromagnetically and gravitationally {\it stealth fields}. We shall see that the latter configurations can affect, in addition, the strength of the gravity-matter and electromagnetic-matter couplings of other (non-stealth) modes present in the system, which turn out to be equivalent to the re-scaling the electric charge and the Newton constant (with a stealth-mass depending factor). |
hep-th/0308006 | Michela Petrini | Riccardo Apreda, David E. Crooks, Nick Evans and Michela Petrini | Confinement, Glueballs and Strings from Deformed AdS | latex, 24 pages, 7 figures, extra analysis and interpretation of
Wilson loops | JHEP 0405 (2004) 065 | 10.1088/1126-6708/2004/05/065 | null | hep-th | null | We study aspects of confinement in two deformed versions of the AdS/CFT
correspondence - the GPPZ dual of N=1* Yang Mills, and the Yang Mills* N=0
dual. Both geometries describe discrete glueball spectra which we calculate
numerically. The results agree at the 10% level with previous AdS/CFT
computations in the Klebanov Strassler background and AdS Schwarzchild
respectively. We also calculate the spectra of bound states of the massive
fermions in these geometries and show that they are light, so not decoupled
from the dynamics. We then study the behaviour of Wilson loops in the 10d lifts
of these geometries. We find a transition from AdS-like strings in the UV to
strings that interact with the unknown physics of the central singularity of
the space in the IR.
| [
{
"created": "Fri, 1 Aug 2003 13:12:36 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Sep 2003 10:21:41 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Aug 2004 08:43:20 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Apreda",
"Riccardo",
""
],
[
"Crooks",
"David E.",
""
],
[
"Evans",
"Nick",
""
],
[
"Petrini",
"Michela",
""
]
] | We study aspects of confinement in two deformed versions of the AdS/CFT correspondence - the GPPZ dual of N=1* Yang Mills, and the Yang Mills* N=0 dual. Both geometries describe discrete glueball spectra which we calculate numerically. The results agree at the 10% level with previous AdS/CFT computations in the Klebanov Strassler background and AdS Schwarzchild respectively. We also calculate the spectra of bound states of the massive fermions in these geometries and show that they are light, so not decoupled from the dynamics. We then study the behaviour of Wilson loops in the 10d lifts of these geometries. We find a transition from AdS-like strings in the UV to strings that interact with the unknown physics of the central singularity of the space in the IR. |
1702.06101 | Hyung Jin Kim | Amjad Ashoorioon, Roberto Casadio, Ghazal Geshnizjani and Hyung J. Kim | Getting Super-Excited with Modified Dispersion Relations | 1+19 pages, 4 figures | JCAP 1709 (2017) 09, 008 | 10.1088/1475-7516/2017/09/008 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that in some regions of parameter space, modified dispersion
relations can lead to highly populated excited states, which we dub as
"super-excited" states. In order to prepare such super-excited states, we
invoke dispersion relations that have negative slope in an interim sub-horizon
phase at high momenta. This behaviour of quantum fluctuations can lead to large
corrections relative to the Bunch-Davies power spectrum, which mimics highly
excited initial conditions. We identify the Bogolyubov coefficients that can
yield these power spectra. In the course of this computation, we also point out
the shortcomings of the gluing method for evaluating the power spectrum and the
Bogolyubov coefficients. As we discuss, there are other regions of parameter
space, where the power spectrum does not get modified. Therefore, modified
dispersion relations can also lead to so-called "calm excited states" as well.
We conclude by commenting on the possibility of obtaining these modified
dispersion relations within the Effective Field Theory of Inflation.
| [
{
"created": "Mon, 20 Feb 2017 18:39:45 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Feb 2018 19:15:58 GMT",
"version": "v2"
}
] | 2018-02-14 | [
[
"Ashoorioon",
"Amjad",
""
],
[
"Casadio",
"Roberto",
""
],
[
"Geshnizjani",
"Ghazal",
""
],
[
"Kim",
"Hyung J.",
""
]
] | We demonstrate that in some regions of parameter space, modified dispersion relations can lead to highly populated excited states, which we dub as "super-excited" states. In order to prepare such super-excited states, we invoke dispersion relations that have negative slope in an interim sub-horizon phase at high momenta. This behaviour of quantum fluctuations can lead to large corrections relative to the Bunch-Davies power spectrum, which mimics highly excited initial conditions. We identify the Bogolyubov coefficients that can yield these power spectra. In the course of this computation, we also point out the shortcomings of the gluing method for evaluating the power spectrum and the Bogolyubov coefficients. As we discuss, there are other regions of parameter space, where the power spectrum does not get modified. Therefore, modified dispersion relations can also lead to so-called "calm excited states" as well. We conclude by commenting on the possibility of obtaining these modified dispersion relations within the Effective Field Theory of Inflation. |
hep-th/9404180 | Christof | C.Schmidhuber and A.A.Tseytlin | On string cosmology and the RG flow in 2d field theory | 16 pages, Latex, BUTP-94/7, Imperial/TP/93-94/29 (some footnotes and
references added.) | Nucl.Phys.B426:187-202,1994 | 10.1016/0550-3213(94)90131-7 | null | hep-th | null | Time-dependent solutions of bosonic string theory resemble renormalisation
group trajectories in the space of 2d field theories: they often interpolate
between repulsive and attractive static solutions. It is shown that the
attractive static solutions are those whose spatial sections are minima of
|\bar c-25|, where \bar c is the `c-function'. The size of the domain of
attraction of such a solution may be a measure of the probability of the
corresponding string vacuum. Our discussion has also an implication for the RG
flow in theories coupled to dynamical 2d gravity: the flow from models with
c>25 to models with c<25 is forbidden.
| [
{
"created": "Fri, 29 Apr 1994 07:31:52 GMT",
"version": "v1"
},
{
"created": "Fri, 27 May 1994 11:46:12 GMT",
"version": "v2"
},
{
"created": "Sat, 28 May 1994 15:40:45 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Schmidhuber",
"C.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | Time-dependent solutions of bosonic string theory resemble renormalisation group trajectories in the space of 2d field theories: they often interpolate between repulsive and attractive static solutions. It is shown that the attractive static solutions are those whose spatial sections are minima of |\bar c-25|, where \bar c is the `c-function'. The size of the domain of attraction of such a solution may be a measure of the probability of the corresponding string vacuum. Our discussion has also an implication for the RG flow in theories coupled to dynamical 2d gravity: the flow from models with c>25 to models with c<25 is forbidden. |
hep-th/9311188 | Ninoslav Bralic | N. Bralic | A Generalized ``Surfaceless'' Stokes' Theorem | 8 pages, plain TeX | null | null | null | hep-th alg-geom gr-qc math.AG | null | We derive a generalized Stokes' theorem, valid in any dimension and for
arbitrary loops, even if self intersecting or knotted. The generalized theorem
does not involve an auxiliary surface, but inherits a higher rank gauge
symmetry from the invariance under deformations of the surface used in the
conventional formulation.
| [
{
"created": "Wed, 1 Dec 1993 00:38:00 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Bralic",
"N.",
""
]
] | We derive a generalized Stokes' theorem, valid in any dimension and for arbitrary loops, even if self intersecting or knotted. The generalized theorem does not involve an auxiliary surface, but inherits a higher rank gauge symmetry from the invariance under deformations of the surface used in the conventional formulation. |
1508.01649 | Taejin Lee | Taejin Lee | Quantum Brownian Motion on a Triangular Lattice and Fermi-Bose
Equivalence: An Application of Boundary State Formulation | 11 pages | JHEP 03 (2009) 078 | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the Bose-Fermi equivalence in the quantum Brownian motion (QBM) on
a triangular lattice, mapping the action for the QBM into a string theory
action with a periodic boundary tachyon potential. We construct new Klein
factors which are more appropriate than the conventional ones to deal with the
quantum field theories defined on a two dimensioanl space-time with boundaries.
Using the Fermi-Bose equivalence with the new Klein factors, we show that the
model for the quantum Bownian motion on a triangular lattice is equivalent to
the Thirring model with boundary terms, which are quadratic in fermion field
operators, in the off-critical regions and to a $SU(3)\times SU(3)$ free
fermion theory with quadratic boundary terms at the critical point.
| [
{
"created": "Fri, 7 Aug 2015 10:20:02 GMT",
"version": "v1"
}
] | 2015-09-02 | [
[
"Lee",
"Taejin",
""
]
] | We discuss the Bose-Fermi equivalence in the quantum Brownian motion (QBM) on a triangular lattice, mapping the action for the QBM into a string theory action with a periodic boundary tachyon potential. We construct new Klein factors which are more appropriate than the conventional ones to deal with the quantum field theories defined on a two dimensioanl space-time with boundaries. Using the Fermi-Bose equivalence with the new Klein factors, we show that the model for the quantum Bownian motion on a triangular lattice is equivalent to the Thirring model with boundary terms, which are quadratic in fermion field operators, in the off-critical regions and to a $SU(3)\times SU(3)$ free fermion theory with quadratic boundary terms at the critical point. |
2004.12839 | Gokhan Alkac | Gokhan Alkac, Deniz Olgu Devecioglu | Three Dimensional Modified Gravities as Holographic Limits of
Lancsoz-Lovelock Theories | 11 pages, 1 figure, minor typo in eq. (4) corrected | null | 10.1016/j.physletb.2020.135597 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define a "holographic limit" of Lancsoz-Lovelock theories at the
Lagrangian level which gives three-dimensional modified gravity theories. We
also show that this limit applies to more general classes of theories in higher
dimensions provided that they admit the holographic c-theorem.
| [
{
"created": "Mon, 27 Apr 2020 14:39:29 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Apr 2020 20:48:52 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jul 2020 10:35:35 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Mar 2022 11:29:05 GMT",
"version": "v4"
}
] | 2022-03-11 | [
[
"Alkac",
"Gokhan",
""
],
[
"Devecioglu",
"Deniz Olgu",
""
]
] | We define a "holographic limit" of Lancsoz-Lovelock theories at the Lagrangian level which gives three-dimensional modified gravity theories. We also show that this limit applies to more general classes of theories in higher dimensions provided that they admit the holographic c-theorem. |
hep-th/9705146 | Michele Simionato | M. Bonini and M. Simionato | Wilson renormalization group and improved perturbation theory | 24 pages, LaTex, 5 postscript figures (included) | null | null | UPRF-97-05 | hep-th | null | We discuss a resummed perturbation theory based on the Wilson renormalization
group. In this formulation the Wilsonian flowing couplings, which generalize
the running coupling, enter directly into the loop expansion. In the case of an
asymptotically free theory the flowing coupling is well defined since the
infrared Landau pole is absent. We show this property in the case of the
$\phi^3_6$ theory. We also extend this formulation to the QED theory and we
prove that it is consistent with gauge invariance.
| [
{
"created": "Tue, 20 May 1997 16:04:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bonini",
"M.",
""
],
[
"Simionato",
"M.",
""
]
] | We discuss a resummed perturbation theory based on the Wilson renormalization group. In this formulation the Wilsonian flowing couplings, which generalize the running coupling, enter directly into the loop expansion. In the case of an asymptotically free theory the flowing coupling is well defined since the infrared Landau pole is absent. We show this property in the case of the $\phi^3_6$ theory. We also extend this formulation to the QED theory and we prove that it is consistent with gauge invariance. |
1111.1932 | Martin Cederwall | Martin Cederwall | The geometry of pure spinor space | 11 pp., plain tex. v2: refs. added. v3: minor corrections | null | 10.1007/JHEP01(2012)150 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the complex geometry of D=10 pure spinor space. The K\"ahler
structure and the corresponding metric giving rise to the desired Calabi-Yau
property are determined, and an explicit covariant expression for the Laplacian
is given. The metric is not that of a cone obtained by embedding pure spinor
space in a flat space of unconstrained spinors. Some directions for future
studies, concerning regularisation and generalisation to eleven dimensions, are
briefly discussed.
| [
{
"created": "Tue, 8 Nov 2011 15:13:11 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Nov 2011 08:06:12 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jan 2012 23:25:56 GMT",
"version": "v3"
}
] | 2015-06-03 | [
[
"Cederwall",
"Martin",
""
]
] | We investigate the complex geometry of D=10 pure spinor space. The K\"ahler structure and the corresponding metric giving rise to the desired Calabi-Yau property are determined, and an explicit covariant expression for the Laplacian is given. The metric is not that of a cone obtained by embedding pure spinor space in a flat space of unconstrained spinors. Some directions for future studies, concerning regularisation and generalisation to eleven dimensions, are briefly discussed. |
hep-th/0306237 | Seiji Terashima | Seiji Terashima and Jung-Tay Yee | Comments on Noncommutative Superspace | 19 pages, 6 figures, JHEP class, footnotes added, typos corrected,
version to appear in JHEP | JHEP 0312 (2003) 053 | 10.1088/1126-6708/2003/12/053 | ITFA-2003-31, KIAS-P03047 | hep-th | null | We study the N=1/2 supersymmetric theory on noncommutative superspace which
is a deformation of usual superspace. We consider deformed Wess-Zumino model as
an example and show vanishing of vacuum energy, renormalization of
superpotential and nonvanishing of tadpole. We find that the perturbative
effective action has terms which are not written in the star deformation. Also
we consider gauge theory on noncommutative superspace and observe that gauge
group is restricted. We generalize the star deformation to include
noncommutativity between bosonic coordinates and fermionic coordinates.
| [
{
"created": "Wed, 25 Jun 2003 19:53:25 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jun 2003 23:00:06 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Jul 2003 17:53:08 GMT",
"version": "v3"
},
{
"created": "Mon, 12 Jan 2004 20:07:03 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Terashima",
"Seiji",
""
],
[
"Yee",
"Jung-Tay",
""
]
] | We study the N=1/2 supersymmetric theory on noncommutative superspace which is a deformation of usual superspace. We consider deformed Wess-Zumino model as an example and show vanishing of vacuum energy, renormalization of superpotential and nonvanishing of tadpole. We find that the perturbative effective action has terms which are not written in the star deformation. Also we consider gauge theory on noncommutative superspace and observe that gauge group is restricted. We generalize the star deformation to include noncommutativity between bosonic coordinates and fermionic coordinates. |
2312.13577 | Prabwal Phukon | Naba Jyoti Gogoi and Prabwal Phukon | Thermodynamic topology of 4D Euler-Heisenberg-AdS black hole in
different ensembles | 28 pages, 34 figures | Physics of the Dark Universe 44, 101456 (2024) | 10.1016/j.dark.2024.101456 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the thermodynamic topology of 4D Euler-Heisenberg-AdS (EHAdS) black
hole and higher-order QED corrected Euler-Heisenberg-AdS black hole in
different ensembles using generalized off-shell free energy. In this approach,
black holes are viewed as defects in the thermodynamic space. We work in two
ensembles: canonical ensemble in which the charge is kept fixed and grand
canonical ensemble in which the conjugate potential $\phi_e$ is kept fixed. In
each case, the local and global topology of the thermodynamic space is
investigated via the computation of winding numbers at the defects. For 4D
Euler-Heisenberg-AdS black hole in canonical ensemble, the topological class is
found to be different depending on the Euler-Heisenberg (EH) parameter $a$. The
topological numbers for $a<0$ and $a>0$ cases are found to be $W=+1$ and $W=0$
respectively. The topological number is found to be independent of the
variation in pressure $P$ and charge $Q$ of the black hole. With the
introduction of higher order QED correction, the difference in the topological
class of 4D EHAdS black hole with the sign of $a$ is observed to go away.The
topological number in this case is found to be $W=+1$ irrespective of the
values of $a$, $P$ and $Q$. In the grand canonical ensemble, the topological
number for both EHAdS and higher order QED corrected EHAdS black hole is found
to be $W=0$, independent of the values of $P$, $\phi_e$ and $a$. Therefore, we
infer that the topological class of both 4D EHAdS black hole and higher order
QED corrected EHAdS black hole is ensemble dependent. Moreover, in the
canonical ensemble, higher order QED correction alters the topological class of
the black hole for positive values of EH parameter $a$. In the grand canonical
ensemble, the higher order corrections do not change the thermodynamic topology
of the black hole.
| [
{
"created": "Thu, 21 Dec 2023 04:55:20 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Dec 2023 06:48:49 GMT",
"version": "v2"
}
] | 2024-04-03 | [
[
"Gogoi",
"Naba Jyoti",
""
],
[
"Phukon",
"Prabwal",
""
]
] | We study the thermodynamic topology of 4D Euler-Heisenberg-AdS (EHAdS) black hole and higher-order QED corrected Euler-Heisenberg-AdS black hole in different ensembles using generalized off-shell free energy. In this approach, black holes are viewed as defects in the thermodynamic space. We work in two ensembles: canonical ensemble in which the charge is kept fixed and grand canonical ensemble in which the conjugate potential $\phi_e$ is kept fixed. In each case, the local and global topology of the thermodynamic space is investigated via the computation of winding numbers at the defects. For 4D Euler-Heisenberg-AdS black hole in canonical ensemble, the topological class is found to be different depending on the Euler-Heisenberg (EH) parameter $a$. The topological numbers for $a<0$ and $a>0$ cases are found to be $W=+1$ and $W=0$ respectively. The topological number is found to be independent of the variation in pressure $P$ and charge $Q$ of the black hole. With the introduction of higher order QED correction, the difference in the topological class of 4D EHAdS black hole with the sign of $a$ is observed to go away.The topological number in this case is found to be $W=+1$ irrespective of the values of $a$, $P$ and $Q$. In the grand canonical ensemble, the topological number for both EHAdS and higher order QED corrected EHAdS black hole is found to be $W=0$, independent of the values of $P$, $\phi_e$ and $a$. Therefore, we infer that the topological class of both 4D EHAdS black hole and higher order QED corrected EHAdS black hole is ensemble dependent. Moreover, in the canonical ensemble, higher order QED correction alters the topological class of the black hole for positive values of EH parameter $a$. In the grand canonical ensemble, the higher order corrections do not change the thermodynamic topology of the black hole. |
2206.03415 | Riccardo Conti | Riccardo Conti, Jacopo Romano, Roberto Tateo | Metric approach to a $\mathrm{T}\bar{\mathrm{T}}-$like deformation in
arbitrary dimensions | V3: 23 pages, one-parameter extension of the previous results in
section 2; new results in section 3; references and a note added | null | 10.1007/JHEP09(2022)085 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a one-parameter family of composite fields -- bi-linear in the
components of the stress-energy tensor -- which generalise the
$\mathrm{T}\bar{\mathrm{T}}$ operator to arbitrary space-time dimension $d\geq
2$. We show that they induce a deformation of the classical action which is
equivalent -- at the level of the dynamics -- to a field-dependent modification
of the background metric tensor according to a specific flow equation. Even
though the starting point is the flat space, the deformed metric is generally
curved for any $d>2$, thus implying that the corresponding deformation can not
be interpreted as a coordinate transformation. The central part of the paper is
devoted to the development of a recursive algorithm to compute the coefficients
of the power series expansion of the solution to the metric flow equation. We
show that, under some quite restrictive assumptions on the stress-energy
tensor, the power series yields an exact solution. Finally, we consider a class
of theories in $d=4$ whose stress-energy tensor fulfils the assumptions above
mentioned, namely the family of abelian gauge theories in $d=4$. For such
theories, we obtain the exact expression of the deformed metric and the
vierbein. In particular, the latter result implies that ModMax theory in a
specific curved space is dynamically equivalent to its Born-Infeld-like
extension in flat space. We also discuss a dimensional reduction of the latter
theories from $d=4$ to $d=2$ in which an interesting marginal deformation of
$d=2$ field theories emerges.
| [
{
"created": "Tue, 7 Jun 2022 16:04:50 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2022 12:48:51 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Jul 2022 17:29:20 GMT",
"version": "v3"
}
] | 2022-09-28 | [
[
"Conti",
"Riccardo",
""
],
[
"Romano",
"Jacopo",
""
],
[
"Tateo",
"Roberto",
""
]
] | We consider a one-parameter family of composite fields -- bi-linear in the components of the stress-energy tensor -- which generalise the $\mathrm{T}\bar{\mathrm{T}}$ operator to arbitrary space-time dimension $d\geq 2$. We show that they induce a deformation of the classical action which is equivalent -- at the level of the dynamics -- to a field-dependent modification of the background metric tensor according to a specific flow equation. Even though the starting point is the flat space, the deformed metric is generally curved for any $d>2$, thus implying that the corresponding deformation can not be interpreted as a coordinate transformation. The central part of the paper is devoted to the development of a recursive algorithm to compute the coefficients of the power series expansion of the solution to the metric flow equation. We show that, under some quite restrictive assumptions on the stress-energy tensor, the power series yields an exact solution. Finally, we consider a class of theories in $d=4$ whose stress-energy tensor fulfils the assumptions above mentioned, namely the family of abelian gauge theories in $d=4$. For such theories, we obtain the exact expression of the deformed metric and the vierbein. In particular, the latter result implies that ModMax theory in a specific curved space is dynamically equivalent to its Born-Infeld-like extension in flat space. We also discuss a dimensional reduction of the latter theories from $d=4$ to $d=2$ in which an interesting marginal deformation of $d=2$ field theories emerges. |
1706.05232 | Shin Sasaki | Muneto Nitta, Shin Sasaki, Ryo Yokokura | Supersymmetry Breaking in Spatially Modulated Vacua | 27 pages, 9 figures, version published in Phys. Rev. D | Phys. Rev. D 96, 105022 (2017) | 10.1103/PhysRevD.96.105022 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study spontaneous supersymmetry breaking in spatially modulated stable or
meta-stable vacua in supersymmetric field theories. Such spatial modulation can
be realized in a higher derivative chiral model for which vacuum energies are
either positive, negative or zero, depending on the model parameters. There
appears a Nambu-Goldstone boson associated with the spontaneously breaking of
the translational and $U(1)$ symmetries without the quadratic kinetic term and
with a quartic derivative term in the modulated direction, and a gapless Higgs
mode. We show that there appears a Goldstino associated with the supersymmetry
breaking at a meta-stable vacuum, where energy is positive, while it becomes a
fermionic ghost in the negative energy vacuum, and zero norm state and
disappears from the physical sector in the zero energy vacuum.
| [
{
"created": "Fri, 16 Jun 2017 12:06:29 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 2017 07:10:56 GMT",
"version": "v2"
}
] | 2017-12-06 | [
[
"Nitta",
"Muneto",
""
],
[
"Sasaki",
"Shin",
""
],
[
"Yokokura",
"Ryo",
""
]
] | We study spontaneous supersymmetry breaking in spatially modulated stable or meta-stable vacua in supersymmetric field theories. Such spatial modulation can be realized in a higher derivative chiral model for which vacuum energies are either positive, negative or zero, depending on the model parameters. There appears a Nambu-Goldstone boson associated with the spontaneously breaking of the translational and $U(1)$ symmetries without the quadratic kinetic term and with a quartic derivative term in the modulated direction, and a gapless Higgs mode. We show that there appears a Goldstino associated with the supersymmetry breaking at a meta-stable vacuum, where energy is positive, while it becomes a fermionic ghost in the negative energy vacuum, and zero norm state and disappears from the physical sector in the zero energy vacuum. |
1302.1878 | Markus A. Luty | Joshua H. Cooperman, Markus A. Luty | Renormalization of Entanglement Entropy and the Gravitational Effective
Action | 26 pages, 2 figures. v2: minor corrections and clarifications | Journal of High Energy Physics 12 (2014) 045 | 10.1007/JHEP12(2014)045 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The entanglement entropy associated with a spatial boundary in quantum field
theory is UV divergent, with the leading term proportional to the area of the
boundary. For a class of quantum states defined by a path integral, the
Callan-Wilczek formula gives a geometrical definition of the entanglement
entropy. We show that, for this class of quantum states, the entanglement
entropy is rendered UV-finite by precisely the counterterms required to cancel
the UV divergences in the gravitational effective action. In particular, the
leading contribution to the entanglement entropy is given by the renormalized
Bekenstein-Hawking formula, in accordance with a proposal of Susskind and
Uglum. We show that the subleading UV-divergent terms in the entanglement
entropy depend nontrivially on the quantum state. We compute new subleading
terms in the entanglement entropy and find agreement with the Wald entropy
formula for black hole spacetimes with bifurcate Killing horizons. We speculate
that the entanglement entropy of an arbitrary spatial boundary may be a
well-defined observable in quantum gravity.
| [
{
"created": "Thu, 7 Feb 2013 21:07:52 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Dec 2013 23:20:40 GMT",
"version": "v2"
}
] | 2014-12-23 | [
[
"Cooperman",
"Joshua H.",
""
],
[
"Luty",
"Markus A.",
""
]
] | The entanglement entropy associated with a spatial boundary in quantum field theory is UV divergent, with the leading term proportional to the area of the boundary. For a class of quantum states defined by a path integral, the Callan-Wilczek formula gives a geometrical definition of the entanglement entropy. We show that, for this class of quantum states, the entanglement entropy is rendered UV-finite by precisely the counterterms required to cancel the UV divergences in the gravitational effective action. In particular, the leading contribution to the entanglement entropy is given by the renormalized Bekenstein-Hawking formula, in accordance with a proposal of Susskind and Uglum. We show that the subleading UV-divergent terms in the entanglement entropy depend nontrivially on the quantum state. We compute new subleading terms in the entanglement entropy and find agreement with the Wald entropy formula for black hole spacetimes with bifurcate Killing horizons. We speculate that the entanglement entropy of an arbitrary spatial boundary may be a well-defined observable in quantum gravity. |
1708.00705 | Allan Joseph Michael Medved | M.M.W. Shawa and A.J.M. Medved | Graviton multi-point amplitudes for higher-derivative gravity in anti-de
Sitter space | 25 pages | Phys. Rev. D 97, 086002 (2018) | 10.1103/PhysRevD.97.086002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate graviton multi-point amplitudes in an anti-de Sitter black brane
background for higher-derivative gravity of arbitrary order in numbers of
derivatives. The calculations are performed using tensor graviton modes in a
particular regime of comparatively high energies and large scattering angles.
The regime simplifies the calculations but, at the same time, is well suited
for translating these results into the language of the dually related gauge
theory. After considering theories of up to eight derivatives, we generalize to
even higher-derivative theories by constructing a "basis" for the relevant
scattering amplitudes. This construction enables one to find the basic form of
the n-point amplitude for arbitrary n and any number of derivatives.
Additionally, using the four-point amplitudes for six and eight-derivative
gravity, we re-express the scattering properties in terms of the Mandelstam
variables.
| [
{
"created": "Wed, 2 Aug 2017 11:32:36 GMT",
"version": "v1"
}
] | 2018-04-11 | [
[
"Shawa",
"M. M. W.",
""
],
[
"Medved",
"A. J. M.",
""
]
] | We calculate graviton multi-point amplitudes in an anti-de Sitter black brane background for higher-derivative gravity of arbitrary order in numbers of derivatives. The calculations are performed using tensor graviton modes in a particular regime of comparatively high energies and large scattering angles. The regime simplifies the calculations but, at the same time, is well suited for translating these results into the language of the dually related gauge theory. After considering theories of up to eight derivatives, we generalize to even higher-derivative theories by constructing a "basis" for the relevant scattering amplitudes. This construction enables one to find the basic form of the n-point amplitude for arbitrary n and any number of derivatives. Additionally, using the four-point amplitudes for six and eight-derivative gravity, we re-express the scattering properties in terms of the Mandelstam variables. |
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