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float64 2.95
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2203.08799
|
Mohammad Reza Setare
|
M. R. Setare and M. Koohgard
|
The minimal entanglement wedge cross section in the GMMG/GCFT flat
holography
|
20 pages, 3 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We focus on a proper candidate for the entanglement wedge in asymptotically
flat bulk geometries that are described by the generalized minimal massive
gravity (GMMG) in the context of the flat holography. To this end, we describe
the boundary by two dimensional Galilean conformal field theory (GCFT) at the
bipartite mixed state of the two disjoint intervals. We make a conjecture on
the minimal entanglement wedge cross section (EWCS) and we find that the
results are consistent with the previous computations on the holographic
entanglement negativity.
|
[
{
"created": "Wed, 2 Mar 2022 14:19:57 GMT",
"version": "v1"
}
] |
2022-03-18
|
[
[
"Setare",
"M. R.",
""
],
[
"Koohgard",
"M.",
""
]
] |
We focus on a proper candidate for the entanglement wedge in asymptotically flat bulk geometries that are described by the generalized minimal massive gravity (GMMG) in the context of the flat holography. To this end, we describe the boundary by two dimensional Galilean conformal field theory (GCFT) at the bipartite mixed state of the two disjoint intervals. We make a conjecture on the minimal entanglement wedge cross section (EWCS) and we find that the results are consistent with the previous computations on the holographic entanglement negativity.
| 8.751799
| 7.353424
| 10.438321
| 7.409676
| 6.934692
| 6.747882
| 7.456138
| 7.466871
| 7.036797
| 11.050521
| 7.109993
| 7.965071
| 9.032621
| 8.173885
| 8.370317
| 8.122143
| 8.128454
| 8.292227
| 8.038717
| 9.340223
| 8.244764
|
2310.16522
|
Enrique Alvarez
|
Enrique \'Alvarez, Jes\'us Anero and Irene S\'anchez-Ruiz
|
The origin of the cosmological constant
|
LaTeX, 17 pages, cosmetic changes
| null | null |
IFT-UAM/CSIC-23-133
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
It is well-known that in unimodular gravity the cosmological constant is not
sourced by a constant energy density, but rather appears as some sort of
integration constant. In this work we try to flesh this out by studying in some
detail a couple of examples, one from cosmology and the other from
gravitational collapse.
|
[
{
"created": "Wed, 25 Oct 2023 10:16:13 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Dec 2023 13:21:35 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Mar 2024 09:30:36 GMT",
"version": "v3"
}
] |
2024-03-11
|
[
[
"Álvarez",
"Enrique",
""
],
[
"Anero",
"Jesús",
""
],
[
"Sánchez-Ruiz",
"Irene",
""
]
] |
It is well-known that in unimodular gravity the cosmological constant is not sourced by a constant energy density, but rather appears as some sort of integration constant. In this work we try to flesh this out by studying in some detail a couple of examples, one from cosmology and the other from gravitational collapse.
| 9.665087
| 6.449353
| 6.709408
| 6.698457
| 5.876832
| 6.722579
| 6.645908
| 6.705949
| 7.550753
| 7.017725
| 7.350755
| 7.605404
| 7.445296
| 7.374194
| 7.223734
| 7.25913
| 7.676602
| 7.211336
| 7.701683
| 7.944957
| 7.781671
|
1510.08065
|
John Terning
|
Kevin F. Cleary and John Terning
|
Marginal Breaking of Conformal SUSY QCD
|
12 pages, no figures
| null |
10.1007/JHEP07(2016)096
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We provide an example of a 4D theory that exhibits the
Contino-Pomarol-Rattazzi mechanism, where breaking conformal symmetry by an
almost marginal operator leads to a light pseudo-Goldstone boson, the dilaton,
and a parametrically suppressed contribution to vacuum energy. We consider SUSY
QCD at the edge of the conformal window and break conformal symmetry by weakly
gauging a subgroup of the flavor symmetry. Using Seiberg duality we show that
for a range of parameters the singlet meson in the dual theory reaches the
unitarity bound, however, this theory does not have a stable vacuum. We
stabilize the vacuum with soft breaking terms, compute the mass of the dilaton,
and determine the range of parameters where the leading contribution to the
dilaton mass is from the almost marginal coupling.
|
[
{
"created": "Tue, 27 Oct 2015 20:07:36 GMT",
"version": "v1"
}
] |
2016-08-24
|
[
[
"Cleary",
"Kevin F.",
""
],
[
"Terning",
"John",
""
]
] |
We provide an example of a 4D theory that exhibits the Contino-Pomarol-Rattazzi mechanism, where breaking conformal symmetry by an almost marginal operator leads to a light pseudo-Goldstone boson, the dilaton, and a parametrically suppressed contribution to vacuum energy. We consider SUSY QCD at the edge of the conformal window and break conformal symmetry by weakly gauging a subgroup of the flavor symmetry. Using Seiberg duality we show that for a range of parameters the singlet meson in the dual theory reaches the unitarity bound, however, this theory does not have a stable vacuum. We stabilize the vacuum with soft breaking terms, compute the mass of the dilaton, and determine the range of parameters where the leading contribution to the dilaton mass is from the almost marginal coupling.
| 7.254438
| 7.048017
| 7.227258
| 6.652386
| 7.19135
| 6.993915
| 6.824775
| 7.330516
| 6.573192
| 7.214162
| 6.343522
| 6.650389
| 7.215251
| 6.861719
| 7.046344
| 7.022432
| 6.890945
| 6.968944
| 6.751657
| 7.418889
| 6.781606
|
hep-th/9410135
| null |
A. Aghamohammadi, M. Khorrami and A. Shariati
|
$h$-Deformation as a Contraction of $q$-Deformation
|
6 pages, LaTeX, IPM-94-61
|
J. Phys. A 28 (1995) L225
|
10.1088/0305-4470/28/8/001
| null |
hep-th
| null |
We show that $h$-deformation can be obtained, by a singular limit of a
similarity transformation, from $q$-deformation; to be specefic, we obtain
$\GL_h(2)$, its differential structure, its inhomogenous extension, and
$\Uh{\sl(2)}$ from their $q$-deformed counterparts.
|
[
{
"created": "Wed, 19 Oct 1994 10:52:27 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Aghamohammadi",
"A.",
""
],
[
"Khorrami",
"M.",
""
],
[
"Shariati",
"A.",
""
]
] |
We show that $h$-deformation can be obtained, by a singular limit of a similarity transformation, from $q$-deformation; to be specefic, we obtain $\GL_h(2)$, its differential structure, its inhomogenous extension, and $\Uh{\sl(2)}$ from their $q$-deformed counterparts.
| 16.762405
| 13.086103
| 16.321844
| 13.201458
| 15.269043
| 16.426355
| 15.548003
| 12.247125
| 12.89032
| 20.591738
| 13.475141
| 13.270565
| 15.745005
| 13.704463
| 13.93737
| 13.299918
| 13.018113
| 13.328935
| 13.843416
| 14.979036
| 13.982435
|
hep-th/9605162
|
Vladimir Smirnov
|
V.A. Smirnov
|
Four-dimensional integration by parts with differential renormalization
as a method of evaluation of Feynman diagrams
|
6 pages, latex
|
Theor.Math.Phys. 108 (1997) 953-957; Teor.Mat.Fiz. 108N1 (1996)
129-134
|
10.1007/BF02070521
| null |
hep-th hep-ph
| null |
It is shown how strictly four-dimensional integration by parts combined with
differential renormalization and its infrared analogue can be applied for
calculation of Feynman diagrams.
|
[
{
"created": "Wed, 22 May 1996 20:55:40 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Smirnov",
"V. A.",
""
]
] |
It is shown how strictly four-dimensional integration by parts combined with differential renormalization and its infrared analogue can be applied for calculation of Feynman diagrams.
| 30.705626
| 25.961073
| 20.186266
| 21.381565
| 26.933542
| 27.297096
| 23.163673
| 17.815546
| 20.244343
| 24.833132
| 24.280397
| 23.915545
| 24.34697
| 23.841476
| 26.871395
| 23.430771
| 24.704742
| 22.520525
| 22.881123
| 22.9596
| 24.450092
|
0912.5457
|
Alexey Koshelev
|
Alexey S. Koshelev
|
SFT non-locality in cosmology: solutions, perturbations and
observational evidences
|
To be published in Proceedings of Invisible Universe 2009
|
AIP Conf.Proc.1241:630-638,2010
|
10.1063/1.3462695
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note cosmological models coming out of the String Field Theory (SFT)
in application to the Dark Energy are reviewed. A way of constructing solutions
in the case of linear models is outlined, cosmological perturbations and
observational evidences of such models are explored. We explicitly demonstrate
the stability of the system at the linear order in the most typical
configuration.
|
[
{
"created": "Wed, 30 Dec 2009 20:56:27 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Koshelev",
"Alexey S.",
""
]
] |
In this note cosmological models coming out of the String Field Theory (SFT) in application to the Dark Energy are reviewed. A way of constructing solutions in the case of linear models is outlined, cosmological perturbations and observational evidences of such models are explored. We explicitly demonstrate the stability of the system at the linear order in the most typical configuration.
| 20.36837
| 19.786104
| 19.052788
| 19.382257
| 20.094921
| 20.294886
| 18.21398
| 19.441967
| 20.059425
| 18.688051
| 19.250614
| 18.344116
| 18.53405
| 17.368649
| 17.932369
| 18.277252
| 18.84602
| 17.232784
| 17.825087
| 17.273926
| 18.660772
|
0902.3930
|
Davide Fioravanti
|
Diego Bombardelli, Davide Fioravanti and Roberto Tateo
|
Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
|
Main typos corrected, notations fixed, references added
|
J.Phys.A42:375401,2009
|
10.1088/1751-8113/42/37/375401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Moving from the mirror theory Bethe-Yang equations proposed by Arutyunov and
Frolov, we derive the thermodynamic Bethe Ansatz equations which should control
the spectrum of the planar $\text{AdS}_5/\text{CFT}_4$ correspondence. The
associated set of universal functional relations (Y-system) satisfied by the
exponentials of the TBA pseudoenergies is deduced, confirming the structure
inferred by Gromov, Kazakov and Vieira.
|
[
{
"created": "Mon, 23 Feb 2009 20:51:52 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Mar 2009 20:53:42 GMT",
"version": "v2"
}
] |
2009-09-28
|
[
[
"Bombardelli",
"Diego",
""
],
[
"Fioravanti",
"Davide",
""
],
[
"Tateo",
"Roberto",
""
]
] |
Moving from the mirror theory Bethe-Yang equations proposed by Arutyunov and Frolov, we derive the thermodynamic Bethe Ansatz equations which should control the spectrum of the planar $\text{AdS}_5/\text{CFT}_4$ correspondence. The associated set of universal functional relations (Y-system) satisfied by the exponentials of the TBA pseudoenergies is deduced, confirming the structure inferred by Gromov, Kazakov and Vieira.
| 8.974166
| 9.383659
| 11.911536
| 8.392141
| 8.738745
| 9.693599
| 8.56007
| 8.015294
| 8.122574
| 15.786904
| 8.219621
| 7.906053
| 10.351985
| 8.127353
| 7.874113
| 7.979916
| 7.821782
| 7.928035
| 8.092832
| 9.797919
| 7.981528
|
0801.4536
|
Oleg Evnin
|
Ben Craps, Frederik De Roo and Oleg Evnin
|
Quantum evolution across singularities: the case of geometrical
resolutions
|
25 pages, 1 figure
|
JHEP 0804:036,2008
|
10.1088/1126-6708/2008/04/036
| null |
hep-th
| null |
We continue the study of time-dependent Hamiltonians with an isolated
singularity in their time dependence, describing propagation on singular
space-times. In previous work, two of us have proposed a "minimal subtraction"
prescription for the simplest class of such systems, involving Hamiltonians
with only one singular term. On the other hand, Hamiltonians corresponding to
geometrical resolutions of space-time tend to involve multiple operator
structures (multiple types of dependence on the canonical variables) in an
essential way.
We consider some of the general properties of such (near-)singular
Hamiltonian systems, and further specialize to the case of a free scalar field
on a two-parameter generalization of the null-brane space-time. We find that
the singular limit of free scalar field evolution exists for a discrete subset
of the possible values of the two parameters. The coordinates we introduce
reveal a peculiar reflection property of scalar field propagation on the
generalized (as well as the original) null-brane. We further present a simple
family of pp-wave geometries whose singular limit is a light-like hyperplane
(discontinuously) reflecting the positions of particles as they pass through
it.
|
[
{
"created": "Tue, 29 Jan 2008 17:48:03 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Craps",
"Ben",
""
],
[
"De Roo",
"Frederik",
""
],
[
"Evnin",
"Oleg",
""
]
] |
We continue the study of time-dependent Hamiltonians with an isolated singularity in their time dependence, describing propagation on singular space-times. In previous work, two of us have proposed a "minimal subtraction" prescription for the simplest class of such systems, involving Hamiltonians with only one singular term. On the other hand, Hamiltonians corresponding to geometrical resolutions of space-time tend to involve multiple operator structures (multiple types of dependence on the canonical variables) in an essential way. We consider some of the general properties of such (near-)singular Hamiltonian systems, and further specialize to the case of a free scalar field on a two-parameter generalization of the null-brane space-time. We find that the singular limit of free scalar field evolution exists for a discrete subset of the possible values of the two parameters. The coordinates we introduce reveal a peculiar reflection property of scalar field propagation on the generalized (as well as the original) null-brane. We further present a simple family of pp-wave geometries whose singular limit is a light-like hyperplane (discontinuously) reflecting the positions of particles as they pass through it.
| 14.515207
| 16.498898
| 16.378265
| 13.8188
| 15.6228
| 16.765465
| 15.607
| 15.575252
| 14.04484
| 15.848494
| 14.471937
| 13.822414
| 14.150761
| 13.789966
| 14.35871
| 14.228622
| 14.31677
| 14.056883
| 14.138526
| 14.233865
| 13.937686
|
hep-th/0412281
|
Ian Vernon
|
David Jennings, Ian R. Vernon, Anne-Christine Davis, Carsten van de
Bruck
|
Bulk black holes radiating in non-Z_2 brane-world spacetimes
|
29 pages, 10 figures
|
JCAP 0504 (2005) 013
|
10.1088/1475-7516/2005/04/013
|
DCPT-04/43
|
hep-th
| null |
In this paper we present a general asymmetric brane model involving arbitrary
energy transport to and from an embedded 4-D FRW universe. We derive a locally
defined mass function for the 5D spacetime and describe its time evolution on
the brane. We then specialise our model to the two cases of graviton production
in the early universe and radiating black holes in the bulk.
|
[
{
"created": "Wed, 22 Dec 2004 22:15:55 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Jennings",
"David",
""
],
[
"Vernon",
"Ian R.",
""
],
[
"Davis",
"Anne-Christine",
""
],
[
"van de Bruck",
"Carsten",
""
]
] |
In this paper we present a general asymmetric brane model involving arbitrary energy transport to and from an embedded 4-D FRW universe. We derive a locally defined mass function for the 5D spacetime and describe its time evolution on the brane. We then specialise our model to the two cases of graviton production in the early universe and radiating black holes in the bulk.
| 17.238365
| 16.051279
| 15.599968
| 14.192146
| 14.113508
| 15.789431
| 14.934954
| 15.293592
| 15.509762
| 17.860796
| 15.574352
| 14.694624
| 14.96169
| 14.676147
| 15.482249
| 15.491772
| 15.166984
| 14.393148
| 15.342274
| 14.923677
| 15.038703
|
hep-th/9509041
|
Ayse Humeyra Bilge
|
Ayse Humeyra Bilge, Tekin Dereli, Sahin Kocak
|
An Explicit Construction of Self-dual 2-forms in Eight Dimensions
| null | null | null | null |
hep-th
| null |
The geometry of self-dual 2-forms in eight dimensions is studied. These
2-forms determine an $n^2-n+1$ dimensional manifold ${\cal S}_{2n}$. We prove
that for add $n$, it has only one dimensionallinear subspaces. In eight
dimensions, the self-dual forms of Corrigan et al constitue a seven dimensional
linear subspace of ${\cal S}_8$, among many other intersting linear subspaces.
|
[
{
"created": "Fri, 8 Sep 1995 15:04:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bilge",
"Ayse Humeyra",
""
],
[
"Dereli",
"Tekin",
""
],
[
"Kocak",
"Sahin",
""
]
] |
The geometry of self-dual 2-forms in eight dimensions is studied. These 2-forms determine an $n^2-n+1$ dimensional manifold ${\cal S}_{2n}$. We prove that for add $n$, it has only one dimensionallinear subspaces. In eight dimensions, the self-dual forms of Corrigan et al constitue a seven dimensional linear subspace of ${\cal S}_8$, among many other intersting linear subspaces.
| 13.866222
| 13.184586
| 17.08115
| 13.156752
| 14.34401
| 15.90481
| 15.225373
| 13.544822
| 14.884697
| 18.665834
| 13.791458
| 13.21333
| 14.562485
| 13.716146
| 14.252974
| 13.028108
| 13.810632
| 13.850816
| 14.105909
| 14.758835
| 13.584578
|
1302.0529
|
Oscar Loaiza-Brito
|
Cesar Damian, Luis R. Diaz-Barron, Oscar Loaiza-Brito and M. Sabido
|
Slow-Roll Inflation in Non-geometric Flux Compactification
|
26 figures. (v2) Typos corrected. (v3) Eq. (2.7) and two typos on
Table 1 and 2 were corrected. We have added an explicit expression for the
scalar potential and an explanatory note at the end of the introduction.
Results unchanged
| null |
10.1007/JHEP06(2013)109
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By implementing a genetic algorithm we search for stable vacua in Type IIB
non-geometric flux compactification on an isotropic torus with orientifold
3-planes. We find that the number of stable dS and AdS vacua are of the same
order. Moreover we find that in all dS vacua the multi-field slow-roll
inflationary conditions are fulfilled. Specifically we observe that inflation
is driven by the axio-dilaton and the K\"ahler moduli. We also comment on the
existence of one stable dS vacuum in the presence of exotic orientifolds.
|
[
{
"created": "Sun, 3 Feb 2013 20:15:26 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2013 19:45:50 GMT",
"version": "v2"
},
{
"created": "Sun, 10 Nov 2013 22:34:40 GMT",
"version": "v3"
}
] |
2015-06-12
|
[
[
"Damian",
"Cesar",
""
],
[
"Diaz-Barron",
"Luis R.",
""
],
[
"Loaiza-Brito",
"Oscar",
""
],
[
"Sabido",
"M.",
""
]
] |
By implementing a genetic algorithm we search for stable vacua in Type IIB non-geometric flux compactification on an isotropic torus with orientifold 3-planes. We find that the number of stable dS and AdS vacua are of the same order. Moreover we find that in all dS vacua the multi-field slow-roll inflationary conditions are fulfilled. Specifically we observe that inflation is driven by the axio-dilaton and the K\"ahler moduli. We also comment on the existence of one stable dS vacuum in the presence of exotic orientifolds.
| 7.807658
| 6.709206
| 7.614582
| 6.491134
| 7.19243
| 7.211974
| 6.860682
| 6.529813
| 6.560388
| 8.66554
| 6.408978
| 6.572856
| 6.978562
| 6.686215
| 6.702497
| 6.579012
| 6.843935
| 6.639023
| 6.601908
| 7.164789
| 6.620047
|
hep-th/9610032
|
Enrique Alvarez
|
Enrique Alvarez and Yuri Kubyshin (UAM Madrid; and MSU Moscow)
|
Is the String Coupling Constant invariant under T-duality?
|
LaTeX, 13 pag. Contributions to Santa Margherita and S. Petersburg
meetings
|
Nucl.Phys.Proc.Suppl. 57 (1997) 44-51
|
10.1016/S0920-5632(97)00352-6
|
FTUAM-96/24
|
hep-th
| null |
It is well known that under T-duality the sigma model dilaton (which is
normally thought to be related to the string coupling constant through the
simple formula $\kappa = exp <\phi >$), undergoes an additive shift. On the
other hand, Kugo and Zwiebach, using a simplified form of string field theory,
claim that the string coupling constant does not change under the T-duality.
Obviously, what seems to happen is that two different coupling constants,
associated to different dilatons, are used. In this contribution we shall try
to clarify this, and related issues.
|
[
{
"created": "Mon, 7 Oct 1996 09:49:45 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Alvarez",
"Enrique",
"",
"UAM Madrid; and MSU Moscow"
],
[
"Kubyshin",
"Yuri",
"",
"UAM Madrid; and MSU Moscow"
]
] |
It is well known that under T-duality the sigma model dilaton (which is normally thought to be related to the string coupling constant through the simple formula $\kappa = exp <\phi >$), undergoes an additive shift. On the other hand, Kugo and Zwiebach, using a simplified form of string field theory, claim that the string coupling constant does not change under the T-duality. Obviously, what seems to happen is that two different coupling constants, associated to different dilatons, are used. In this contribution we shall try to clarify this, and related issues.
| 10.506858
| 9.854851
| 10.020026
| 10.582972
| 10.204505
| 10.753755
| 10.236392
| 10.096382
| 9.527221
| 11.084478
| 9.903568
| 9.55433
| 9.634777
| 9.443467
| 9.697659
| 9.66194
| 9.999681
| 9.500167
| 9.69742
| 9.902255
| 9.68938
|
1412.2778
|
Mehrdad Mirbabayi
|
Mehrdad Mirbabayi
|
Massive Gravity: A Lorentz-Symmetric Aether
|
7 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a heuristic introduction to massive gravity based on an analogy with
perfect fluids. I will argue that massive gravity can be thought of as Einstein
gravity in the presence of a medium with unusual properties.
|
[
{
"created": "Mon, 8 Dec 2014 21:22:06 GMT",
"version": "v1"
}
] |
2014-12-10
|
[
[
"Mirbabayi",
"Mehrdad",
""
]
] |
This is a heuristic introduction to massive gravity based on an analogy with perfect fluids. I will argue that massive gravity can be thought of as Einstein gravity in the presence of a medium with unusual properties.
| 14.654398
| 11.656053
| 10.965542
| 11.60694
| 9.792191
| 12.196115
| 11.966353
| 11.628606
| 10.376406
| 13.133363
| 11.716991
| 12.372412
| 11.136531
| 11.139413
| 11.636629
| 11.302202
| 11.600262
| 11.384341
| 11.176572
| 11.266935
| 11.585149
|
hep-th/9903045
|
Nikolaos Mavromatos
|
G.A. Diamandis, B.C. Georgalas, N.E. Mavromatos, E. Papantonopoulos
|
On `Graceful Exit' from inflationary phase in two-dimensional Liouville
String Cosmology
|
23 pages LATEX, six eps figures incorporated
|
Phys.Lett. B461 (1999) 57-65
|
10.1016/S0370-2693(99)00808-4
|
NTUA-75/99, OUTP-98-90P, UOA-NPPS-1/99
|
hep-th gr-qc
| null |
Within the context of a super-critical (Liouville) string, we discuss
(target-space) two-dimensional string cosmology. A numerical analysis indicates
that the identification of time with the Liouville mode results in an expanding
universe with matter which exhibits an inflationary phase, and `graceful exit'
from it, tending asymptotically to a flat-metric fixed point.This fixed point
is characterized by a dilaton configuration which, depending on the initial
conditions, either decreases linearly with the cosmic time, or is a finite
constant. This implies that, in contrast to the critical string case, the
string coupling remains bounded during the exit from the inflationary phase,
and, thus, the pertinent dynamics can be reliably described in terms of a
tree-level string effective action. The r\^ole of matter in inducing such
phenomena is emphasized. It is also interesting to note that the asymptotic
value of the vacuum energy, which in the $\sigma$-model framework is identified
with the `running' central charge deficit, depends crucially on the set of
initial conditions. Thus, although preliminary, this toy model seems to share
all the features expected to characterize a phenomenologically acceptable
cosmological string model.
|
[
{
"created": "Thu, 4 Mar 1999 16:36:04 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Diamandis",
"G. A.",
""
],
[
"Georgalas",
"B. C.",
""
],
[
"Mavromatos",
"N. E.",
""
],
[
"Papantonopoulos",
"E.",
""
]
] |
Within the context of a super-critical (Liouville) string, we discuss (target-space) two-dimensional string cosmology. A numerical analysis indicates that the identification of time with the Liouville mode results in an expanding universe with matter which exhibits an inflationary phase, and `graceful exit' from it, tending asymptotically to a flat-metric fixed point.This fixed point is characterized by a dilaton configuration which, depending on the initial conditions, either decreases linearly with the cosmic time, or is a finite constant. This implies that, in contrast to the critical string case, the string coupling remains bounded during the exit from the inflationary phase, and, thus, the pertinent dynamics can be reliably described in terms of a tree-level string effective action. The r\^ole of matter in inducing such phenomena is emphasized. It is also interesting to note that the asymptotic value of the vacuum energy, which in the $\sigma$-model framework is identified with the `running' central charge deficit, depends crucially on the set of initial conditions. Thus, although preliminary, this toy model seems to share all the features expected to characterize a phenomenologically acceptable cosmological string model.
| 11.017636
| 10.13499
| 10.508882
| 9.891606
| 10.773931
| 10.597198
| 10.963246
| 9.821174
| 9.901497
| 10.760822
| 10.074731
| 10.032404
| 10.422563
| 10.083365
| 10.188621
| 9.980193
| 10.396744
| 10.24848
| 10.114356
| 10.659358
| 10.279073
|
1812.04643
|
Pesando Igor
|
Riccardo Finotello, Igor Pesando
|
The Classical Solution for the Bosonic String in the Presence of Three
D-branes Rotated by Arbitrary SO(4) Elements
|
41 pages, 8 figures
| null |
10.1016/j.nuclphysb.2019.02.010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the classical instantonic contribution to the open string
configuration associated with three D-branes with relative rotation matrices in
SO(4) which corresponds to the computation of the classical part of the
correlator of three non Abelian twist fields. We write the classical solution
as a sum of a product of two hypergeometric functions. Differently from all the
previous cases with three D-branes, the solution is not holomorphic and
suggests that the classical bosonic string knows when the configuration may be
supersymmetric. We show how this configuration reduces to the standard Abelian
twist field computation. From the phenomenological point of view, the Yukawa
couplings between chiral matter at the intersection in this configuration are
more suppressed with respect to the factorized case in the literature.
|
[
{
"created": "Tue, 11 Dec 2018 19:01:14 GMT",
"version": "v1"
}
] |
2019-03-27
|
[
[
"Finotello",
"Riccardo",
""
],
[
"Pesando",
"Igor",
""
]
] |
We consider the classical instantonic contribution to the open string configuration associated with three D-branes with relative rotation matrices in SO(4) which corresponds to the computation of the classical part of the correlator of three non Abelian twist fields. We write the classical solution as a sum of a product of two hypergeometric functions. Differently from all the previous cases with three D-branes, the solution is not holomorphic and suggests that the classical bosonic string knows when the configuration may be supersymmetric. We show how this configuration reduces to the standard Abelian twist field computation. From the phenomenological point of view, the Yukawa couplings between chiral matter at the intersection in this configuration are more suppressed with respect to the factorized case in the literature.
| 14.828261
| 15.360875
| 14.601263
| 13.798319
| 14.915698
| 14.921628
| 15.622479
| 14.109491
| 13.745531
| 16.165127
| 14.446279
| 13.298985
| 13.865232
| 13.478687
| 14.0496
| 13.835927
| 13.347507
| 13.596923
| 13.758005
| 14.507112
| 13.49012
|
2311.16297
|
Kazuki Ikeda
|
Kazuki Ikeda
|
Quantum-classical simulation of quantum field theory by quantum circuit
learning
| null | null | null | null |
hep-th cs.LG hep-ph nucl-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We employ quantum circuit learning to simulate quantum field theories (QFTs).
Typically, when simulating QFTs with quantum computers, we encounter
significant challenges due to the technical limitations of quantum devices when
implementing the Hamiltonian using Pauli spin matrices. To address this
challenge, we leverage quantum circuit learning, employing a compact
configuration of qubits and low-depth quantum circuits to predict real-time
dynamics in quantum field theories. The key advantage of this approach is that
a single-qubit measurement can accurately forecast various physical parameters,
including fully-connected operators. To demonstrate the effectiveness of our
method, we use it to predict quench dynamics, chiral dynamics and jet
production in a 1+1-dimensional model of quantum electrodynamics. We find that
our predictions closely align with the results of rigorous classical
calculations, exhibiting a high degree of accuracy. This hybrid
quantum-classical approach illustrates the feasibility of efficiently
simulating large-scale QFTs on cutting-edge quantum devices.
|
[
{
"created": "Mon, 27 Nov 2023 20:18:39 GMT",
"version": "v1"
}
] |
2023-11-29
|
[
[
"Ikeda",
"Kazuki",
""
]
] |
We employ quantum circuit learning to simulate quantum field theories (QFTs). Typically, when simulating QFTs with quantum computers, we encounter significant challenges due to the technical limitations of quantum devices when implementing the Hamiltonian using Pauli spin matrices. To address this challenge, we leverage quantum circuit learning, employing a compact configuration of qubits and low-depth quantum circuits to predict real-time dynamics in quantum field theories. The key advantage of this approach is that a single-qubit measurement can accurately forecast various physical parameters, including fully-connected operators. To demonstrate the effectiveness of our method, we use it to predict quench dynamics, chiral dynamics and jet production in a 1+1-dimensional model of quantum electrodynamics. We find that our predictions closely align with the results of rigorous classical calculations, exhibiting a high degree of accuracy. This hybrid quantum-classical approach illustrates the feasibility of efficiently simulating large-scale QFTs on cutting-edge quantum devices.
| 10.407649
| 10.082771
| 9.734954
| 9.549773
| 10.109201
| 10.410828
| 10.565818
| 10.52513
| 9.554838
| 10.383276
| 9.929961
| 10.219542
| 9.49182
| 9.598311
| 10.090773
| 10.368413
| 10.051337
| 9.943225
| 9.746497
| 9.531721
| 9.463278
|
1803.07336
|
Josef Kluson
|
J. Kluson
|
Remark About Non-Relativistic String in Newton-Cartan Background and
Null Reduction
|
14 pages,v2:references added, published version
| null |
10.1007/JHEP05(2018)041
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze non-relativistic string in Newton-Cartan background that was found
recently in [arXiv:1705.03535 [hep-th]]. We find its Hamiltonian formulation
and study structure of constraints. We also discuss a relation between string
in Newton-Cartan Background and T-duality along null reduction.
|
[
{
"created": "Tue, 20 Mar 2018 09:51:39 GMT",
"version": "v1"
},
{
"created": "Thu, 24 May 2018 08:05:43 GMT",
"version": "v2"
}
] |
2018-06-13
|
[
[
"Kluson",
"J.",
""
]
] |
We analyze non-relativistic string in Newton-Cartan background that was found recently in [arXiv:1705.03535 [hep-th]]. We find its Hamiltonian formulation and study structure of constraints. We also discuss a relation between string in Newton-Cartan Background and T-duality along null reduction.
| 12.930384
| 8.388677
| 12.024839
| 9.882665
| 8.963056
| 9.139957
| 8.224611
| 9.42101
| 9.651413
| 12.349545
| 9.268678
| 10.315447
| 12.95569
| 10.558651
| 10.636284
| 10.245514
| 10.275052
| 9.854032
| 9.975525
| 12.383759
| 10.545702
|
1602.03428
|
Kirill Krasnov
|
Yannick Herfray, Kirill Krasnov, Carlos Scarinci and Yuri Shtanov
|
A 4D gravity theory and G2-holonomy manifolds
|
25 pages
|
Adv.Theor.Math.Phys. 22 (2018) 2001-2034
|
10.4310/ATMP.2018.v22.n8.a5
| null |
hep-th gr-qc math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Bryant and Salamon gave a construction of metrics of G2 holonomy on the total
space of the bundle of anti-self-dual (ASD) 2-forms over a 4-dimensional
self-dual Einstein manifold. We generalise it by considering the total space of
an SO(3) bundle (with fibers R^3) over a 4-dimensional base, with a connection
on this bundle. We make essentially the same ansatz for the calibrating 3-form,
but use the curvature 2-forms instead of the ASD ones. We show that the
resulting 3-form defines a metric of G2 holonomy if the connection satisfies a
certain second-order PDE. This is exactly the same PDE that arises as the field
equation of a certain 4-dimensional gravity theory formulated as a
diffeomorphism-invariant theory of SO(3) connections. Thus, every solution of
this 4-dimensional gravity theory can be lifted to a G2-holonomy metric. Unlike
all previously known constructions, the theory that we lift to 7 dimensions is
not topological. Thus, our construction should give rise to many new metrics of
G2 holonomy. We describe several examples that are of cohomogeneity one on the
base.
|
[
{
"created": "Wed, 10 Feb 2016 16:08:19 GMT",
"version": "v1"
}
] |
2022-12-06
|
[
[
"Herfray",
"Yannick",
""
],
[
"Krasnov",
"Kirill",
""
],
[
"Scarinci",
"Carlos",
""
],
[
"Shtanov",
"Yuri",
""
]
] |
Bryant and Salamon gave a construction of metrics of G2 holonomy on the total space of the bundle of anti-self-dual (ASD) 2-forms over a 4-dimensional self-dual Einstein manifold. We generalise it by considering the total space of an SO(3) bundle (with fibers R^3) over a 4-dimensional base, with a connection on this bundle. We make essentially the same ansatz for the calibrating 3-form, but use the curvature 2-forms instead of the ASD ones. We show that the resulting 3-form defines a metric of G2 holonomy if the connection satisfies a certain second-order PDE. This is exactly the same PDE that arises as the field equation of a certain 4-dimensional gravity theory formulated as a diffeomorphism-invariant theory of SO(3) connections. Thus, every solution of this 4-dimensional gravity theory can be lifted to a G2-holonomy metric. Unlike all previously known constructions, the theory that we lift to 7 dimensions is not topological. Thus, our construction should give rise to many new metrics of G2 holonomy. We describe several examples that are of cohomogeneity one on the base.
| 6.373455
| 6.212494
| 6.412736
| 5.733707
| 6.480015
| 6.243212
| 6.075379
| 5.930701
| 5.784582
| 6.849553
| 6.254192
| 5.855083
| 5.762708
| 5.696129
| 5.810866
| 5.806196
| 5.710254
| 5.729726
| 5.697636
| 6.116301
| 5.789064
|
1309.4790
|
Preston Jones
|
Preston Jones, Gerardo Munoz, Doug Singleton, Triyanta
|
Field localization and mass generation in an alternative 5-dimensional
brane model
|
Presented at APS DPF 2013 - correction made to integrand for scalar
field confinement from the principle reference
| null | null |
DPF2013-84
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This proceedings is based on a talk given at the APS DPF 2013 on an
alternative 5-dimensional brane world model which is related to but has some
physically distinct features from the Randall-Sundrum brane world model. The
spin dependent localization of 5D fields for the alternative model are
different and in some ways superior to the original Randall- Sundrum Model. The
alternative model also exhibits a cutoff in the lo-calization of massive scalar
fields not seen in the Randall-Sundrum and includes a self consistent mass
prediction of two possible scalar bosons. Setting the warping factor in the new
model consistent with a 126 GeV localized scalar boson predicts the existence
of a second scalar boson at 177 GeV. This second scalar boson could be
localized or non localized depending on the type of warping factor.
|
[
{
"created": "Wed, 18 Sep 2013 20:20:38 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jun 2015 19:36:34 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Jones",
"Preston",
""
],
[
"Munoz",
"Gerardo",
""
],
[
"Singleton",
"Doug",
""
],
[
"Triyanta",
"",
""
]
] |
This proceedings is based on a talk given at the APS DPF 2013 on an alternative 5-dimensional brane world model which is related to but has some physically distinct features from the Randall-Sundrum brane world model. The spin dependent localization of 5D fields for the alternative model are different and in some ways superior to the original Randall- Sundrum Model. The alternative model also exhibits a cutoff in the lo-calization of massive scalar fields not seen in the Randall-Sundrum and includes a self consistent mass prediction of two possible scalar bosons. Setting the warping factor in the new model consistent with a 126 GeV localized scalar boson predicts the existence of a second scalar boson at 177 GeV. This second scalar boson could be localized or non localized depending on the type of warping factor.
| 14.08513
| 15.928327
| 13.959369
| 13.665806
| 14.338785
| 14.696119
| 15.291903
| 13.507779
| 12.992105
| 13.719609
| 14.118267
| 13.791327
| 12.918788
| 13.377658
| 13.048363
| 14.180407
| 13.637085
| 13.053814
| 13.705217
| 13.562963
| 13.909821
|
1910.03603
|
Evyatar Sabag
|
Shlomo S. Razamat and Evyatar Sabag
|
Sequences of $6d$ SCFTs on generic Riemann surfaces
|
57 pages, 27 figures, v3: anomaly notations improved (see footnote 3)
| null |
10.1007/JHEP01(2020)086
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider compactifications of $6d$ minimal $(D_{N+3},D_{N+3})$ type
conformal matter SCFTs on a generic Riemann surface. We derive the theories
corresponding to three punctured spheres (trinions) with three maximal
punctures, from which one can construct models corresponding to generic
surfaces. The trinion models are simple quiver theories with $\mathcal{N}=1$
$SU(2)$ gauge nodes. One of the three puncture non abelian symmetries is
emergent in the IR. The derivation of the trinions proceeds by analyzing RG
flows between conformal matter SCFTs with different values of $N$ and relations
between their subsequent reductions to $4d$. In particular, using the flows we
first derive trinions with two maximal and one minimal punctures, and then we
argue that collections of $N$ minimal punctures can be interpreted as a maximal
one. This suggestion is checked by matching the properties of the $4d$ models
such as `t Hooft anomalies, symmetries, and the structure of the conformal
manifold to the expectations from $6d$. We then use the understanding that
collections of minimal punctures might be equivalent to maximal ones to
construct trinions with three maximal punctures, and then $4d$ theories
corresponding to arbitrary surfaces, for $6d$ models described by two $M5$
branes probing a $\mathbb{Z}_k$ singularity. This entails the introduction of a
novel type of maximal puncture. Again, the suggestion is checked by matching
anomalies, symmetries and the conformal manifold to expectations from six
dimensions. These constructions thus give us a detailed understanding of
compactifications of two sequences of six dimensional SCFTs to four dimensions.
|
[
{
"created": "Tue, 8 Oct 2019 18:00:10 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Feb 2020 09:59:57 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jun 2020 09:52:25 GMT",
"version": "v3"
}
] |
2020-06-26
|
[
[
"Razamat",
"Shlomo S.",
""
],
[
"Sabag",
"Evyatar",
""
]
] |
We consider compactifications of $6d$ minimal $(D_{N+3},D_{N+3})$ type conformal matter SCFTs on a generic Riemann surface. We derive the theories corresponding to three punctured spheres (trinions) with three maximal punctures, from which one can construct models corresponding to generic surfaces. The trinion models are simple quiver theories with $\mathcal{N}=1$ $SU(2)$ gauge nodes. One of the three puncture non abelian symmetries is emergent in the IR. The derivation of the trinions proceeds by analyzing RG flows between conformal matter SCFTs with different values of $N$ and relations between their subsequent reductions to $4d$. In particular, using the flows we first derive trinions with two maximal and one minimal punctures, and then we argue that collections of $N$ minimal punctures can be interpreted as a maximal one. This suggestion is checked by matching the properties of the $4d$ models such as `t Hooft anomalies, symmetries, and the structure of the conformal manifold to the expectations from $6d$. We then use the understanding that collections of minimal punctures might be equivalent to maximal ones to construct trinions with three maximal punctures, and then $4d$ theories corresponding to arbitrary surfaces, for $6d$ models described by two $M5$ branes probing a $\mathbb{Z}_k$ singularity. This entails the introduction of a novel type of maximal puncture. Again, the suggestion is checked by matching anomalies, symmetries and the conformal manifold to expectations from six dimensions. These constructions thus give us a detailed understanding of compactifications of two sequences of six dimensional SCFTs to four dimensions.
| 7.743183
| 6.908165
| 9.28194
| 7.057062
| 7.244588
| 7.125309
| 7.180366
| 7.197608
| 6.902083
| 9.454499
| 7.052582
| 7.444089
| 8.495612
| 7.452477
| 7.49507
| 7.408912
| 7.394482
| 7.350429
| 7.399974
| 8.228148
| 7.410574
|
1604.05181
|
Adel Rezaei-Aghdam
|
M. Aali-Javanangrouh and A. Rezaei-Aghdam
|
From Basu-Harvey to Nahm equation via 3-Lie bialgebra
|
7 pages. Two references are added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the concept of 3-Lie bialgebra; we construct the Bagger- Lambert-
Gustavson (BLG) model on the Manin triple $\cal D$ of the especial 3-Lie
bialgebra $({\cal D},{\cal A}_{\cal G},{\cal A}_{{\cal G}^*}^*)$ which is in
correspondence with Manin triple of Lie bialgebra $({\cal D},{\cal G},{\cal
G}^*)$. We have shown that the Nahm equation (with Lie bialgebra ${\cal G}$)
can be obtained from the Basu-Harvey equation as a boundary condition of BLG
model (with 3-Lie bialgebra ${\cal D}$) and vice versa.
|
[
{
"created": "Mon, 18 Apr 2016 14:37:20 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Mar 2018 11:15:40 GMT",
"version": "v2"
}
] |
2018-03-08
|
[
[
"Aali-Javanangrouh",
"M.",
""
],
[
"Rezaei-Aghdam",
"A.",
""
]
] |
Using the concept of 3-Lie bialgebra; we construct the Bagger- Lambert- Gustavson (BLG) model on the Manin triple $\cal D$ of the especial 3-Lie bialgebra $({\cal D},{\cal A}_{\cal G},{\cal A}_{{\cal G}^*}^*)$ which is in correspondence with Manin triple of Lie bialgebra $({\cal D},{\cal G},{\cal G}^*)$. We have shown that the Nahm equation (with Lie bialgebra ${\cal G}$) can be obtained from the Basu-Harvey equation as a boundary condition of BLG model (with 3-Lie bialgebra ${\cal D}$) and vice versa.
| 5.411477
| 5.769104
| 6.593989
| 5.22824
| 5.512764
| 5.489084
| 5.548862
| 5.217401
| 5.474575
| 7.262984
| 4.851549
| 5.194792
| 5.358273
| 5.165113
| 5.16578
| 5.122644
| 5.323542
| 5.093294
| 5.193006
| 5.52441
| 5.168604
|
hep-th/0205081
|
Ali Tayefeh Rezakhani
|
M.R. Setare
|
Trace Anomaly and Backreaction of the Dynamical Casimir Effect
|
8 pages, no figures, typos corrected, discussion added, has been
accepted for the publication in GRG
|
Gen.Rel.Grav. 35 (2003) 2279-2286
|
10.1023/A:1027314126258
| null |
hep-th
| null |
The Casimir energy for massless scalar field which satisfies priodic boundary
conditions in two-dimensional domain wall background is calculated by making
use of general properties of renormalized stress-tensor. The line element of
domain wall is time dependent, the trace anomaly which is the nonvanishing
$T^{\mu}_{\mu}$ for a conformally invariant field after renormalization,
represent the back reaction of the dynamical Casimir effect.
|
[
{
"created": "Thu, 9 May 2002 04:46:20 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Jul 2003 11:24:46 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Setare",
"M. R.",
""
]
] |
The Casimir energy for massless scalar field which satisfies priodic boundary conditions in two-dimensional domain wall background is calculated by making use of general properties of renormalized stress-tensor. The line element of domain wall is time dependent, the trace anomaly which is the nonvanishing $T^{\mu}_{\mu}$ for a conformally invariant field after renormalization, represent the back reaction of the dynamical Casimir effect.
| 12.918702
| 12.667271
| 13.677041
| 12.480918
| 11.908322
| 13.347421
| 12.245528
| 12.210113
| 12.020147
| 13.914805
| 11.748604
| 11.793501
| 11.770636
| 11.846775
| 12.040452
| 11.067416
| 11.536004
| 12.29686
| 12.000295
| 11.60575
| 11.748452
|
1701.05772
|
Massimo Taronna
|
Massimo Taronna
|
On the Non-Local Obstruction to Interacting Higher Spins in Flat Space
|
22+12 pages. v2: typos corrected, references added
| null |
10.1007/JHEP05(2017)026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Owing to a renewed interest in flat space higher spin gauge theories, in this
note we provide further details and clarifications on the results presented in
arXiv:1107.5843 and arXiv: 1209.5755, which investigated their locality
properties. Focusing, for simplicity, on quartic amplitudes with one of the
external legs having non-zero integer spin (which can be considered as a
prototype for Weinberg-type arguments), we review the appearance of $1/\Box$
non-localities. In particular, we emphasise that it appears to be not possible
to eliminate all of the aforementioned non-localities with a judicious choice
of coupling constants and spectrum. We also discuss the light-cone gauge fixing
in $d=4$, and argue that the non-local obstruction discussed in the covariant
language cannot be avoided using light-cone gauge formalism.
|
[
{
"created": "Fri, 20 Jan 2017 12:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2017 15:52:34 GMT",
"version": "v2"
}
] |
2017-05-24
|
[
[
"Taronna",
"Massimo",
""
]
] |
Owing to a renewed interest in flat space higher spin gauge theories, in this note we provide further details and clarifications on the results presented in arXiv:1107.5843 and arXiv: 1209.5755, which investigated their locality properties. Focusing, for simplicity, on quartic amplitudes with one of the external legs having non-zero integer spin (which can be considered as a prototype for Weinberg-type arguments), we review the appearance of $1/\Box$ non-localities. In particular, we emphasise that it appears to be not possible to eliminate all of the aforementioned non-localities with a judicious choice of coupling constants and spectrum. We also discuss the light-cone gauge fixing in $d=4$, and argue that the non-local obstruction discussed in the covariant language cannot be avoided using light-cone gauge formalism.
| 11.228821
| 10.615269
| 12.148995
| 11.006675
| 11.530261
| 11.365786
| 11.608348
| 11.165977
| 10.659389
| 12.661989
| 10.621933
| 10.265747
| 10.943767
| 10.695826
| 10.535143
| 10.428311
| 10.911344
| 10.603533
| 10.708131
| 10.795892
| 10.470778
|
hep-th/0604019
|
Marcelo Gomes
|
A. F. Ferrari, M. Gomes, J. R. S. Nascimento, A. Yu. Petrov, A. J. da
Silva
|
On the duality of three-dimensional superfield theories
|
18 pages,2 figures, revtex4, v2: corrected references
|
Phys.Rev.D73:105010,2006
|
10.1103/PhysRevD.73.105010
| null |
hep-th
| null |
Within the superfield approach, we consider the duality between the
supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime
dimensions. Using a gauge embedding method, we construct the dual theory to the
self-dual model interacting with a matter superfield, which turns out to be not
the Maxwell-Chern-Simons theory coupled to matter, but a more complicated
model, with a ``restricted'' gauge invariance. We stress the difficulties in
dualizing the self-dual field coupled to matter into a theory with complete
gauge invariance. After that, we show that the duality, achieved between these
two models at the tree level, also holds up to the lowest order quantum
corrections.
|
[
{
"created": "Tue, 4 Apr 2006 19:49:46 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Apr 2006 20:31:52 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Ferrari",
"A. F.",
""
],
[
"Gomes",
"M.",
""
],
[
"Nascimento",
"J. R. S.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"da Silva",
"A. J.",
""
]
] |
Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual model interacting with a matter superfield, which turns out to be not the Maxwell-Chern-Simons theory coupled to matter, but a more complicated model, with a ``restricted'' gauge invariance. We stress the difficulties in dualizing the self-dual field coupled to matter into a theory with complete gauge invariance. After that, we show that the duality, achieved between these two models at the tree level, also holds up to the lowest order quantum corrections.
| 7.864372
| 6.483907
| 7.949514
| 6.614372
| 6.622067
| 6.836845
| 6.847505
| 6.5669
| 6.331337
| 8.096147
| 6.669824
| 6.534915
| 7.790892
| 6.944135
| 6.83788
| 6.683317
| 6.835796
| 6.727158
| 6.869277
| 7.493645
| 6.626346
|
1605.03361
|
\"Umit Ertem
|
\"Umit Ertem
|
Twistor spinors and extended conformal superalgebras
|
16 pages, published version
|
J. Geom. Phys. 152 (2020) 103654
|
10.1016/j.geomphys.2020.103654
| null |
hep-th math-ph math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the first-order symmetry operators of twistor spinors can be
constructed from conformal Killing-Yano forms in conformally-flat backgrounds.
We express the conditions on conformal Killing-Yano forms to obtain mutually
commuting symmetry operators of twistor spinors. Conformal superalgebras which
consist of conformal Killing vectors and twistor spinors and play important
roles in supersymmetric field theories in conformal backgrounds are extended to
more general superalgebras by using the graded Lie algebra structure of
conformal Killing-Yano forms and the symmetry operators of twistor spinors. The
even part of the extended conformal superalgebra corresponds to conformal
Killing-Yano forms and the odd part consists of twistor spinors.
|
[
{
"created": "Wed, 11 May 2016 10:17:28 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Mar 2020 09:23:33 GMT",
"version": "v2"
}
] |
2020-03-30
|
[
[
"Ertem",
"Ümit",
""
]
] |
We show that the first-order symmetry operators of twistor spinors can be constructed from conformal Killing-Yano forms in conformally-flat backgrounds. We express the conditions on conformal Killing-Yano forms to obtain mutually commuting symmetry operators of twistor spinors. Conformal superalgebras which consist of conformal Killing vectors and twistor spinors and play important roles in supersymmetric field theories in conformal backgrounds are extended to more general superalgebras by using the graded Lie algebra structure of conformal Killing-Yano forms and the symmetry operators of twistor spinors. The even part of the extended conformal superalgebra corresponds to conformal Killing-Yano forms and the odd part consists of twistor spinors.
| 5.810108
| 6.027763
| 6.013347
| 5.686023
| 5.541608
| 5.864653
| 5.943294
| 5.520325
| 5.641448
| 6.058156
| 5.532087
| 5.508727
| 5.706629
| 5.563992
| 5.364716
| 5.583833
| 5.299822
| 5.664941
| 5.46481
| 5.834417
| 5.339025
|
1002.1790
|
Sven Krippendorf
|
Sven Krippendorf, Matthew J. Dolan, Anshuman Maharana, Fernando
Quevedo
|
D-branes at Toric Singularities: Model Building, Yukawa Couplings and
Flavour Physics
|
55 pages, v2: typos corrected, minor comments added
|
JHEP 1006:092,2010
|
10.1007/JHEP06(2010)092
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss general properties of D-brane model building at toric
singularities. Using dimer techniques to obtain the gauge theory from the
structure of the singularity, we extract results on the matter sector and
superpotential of the corresponding gauge theory. We show that the number of
families in toric phases is always less than or equal to three, with a unique
exception being the zeroth Hirzebruch surface. With the physical input of three
generations we find that the lightest family of quarks is massless and the
masses of the other two can be hierarchically separated. We compute the CKM
matrix for explicit models in this setting and find the singularities possess
sufficient structure to allow for realistic mixing between generations and CP
violation.
|
[
{
"created": "Tue, 9 Feb 2010 14:03:10 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Apr 2010 22:42:53 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Krippendorf",
"Sven",
""
],
[
"Dolan",
"Matthew J.",
""
],
[
"Maharana",
"Anshuman",
""
],
[
"Quevedo",
"Fernando",
""
]
] |
We discuss general properties of D-brane model building at toric singularities. Using dimer techniques to obtain the gauge theory from the structure of the singularity, we extract results on the matter sector and superpotential of the corresponding gauge theory. We show that the number of families in toric phases is always less than or equal to three, with a unique exception being the zeroth Hirzebruch surface. With the physical input of three generations we find that the lightest family of quarks is massless and the masses of the other two can be hierarchically separated. We compute the CKM matrix for explicit models in this setting and find the singularities possess sufficient structure to allow for realistic mixing between generations and CP violation.
| 9.198215
| 9.477532
| 10.958151
| 9.249397
| 9.069092
| 9.257256
| 8.968187
| 9.924446
| 8.881032
| 11.578052
| 8.951137
| 8.866052
| 9.455757
| 9.282211
| 9.271015
| 9.153902
| 9.01837
| 9.091783
| 8.995067
| 9.287274
| 8.932464
|
hep-th/0008047
|
P. S. Howe
|
P. Heslop and P.S. Howe
|
Chiral Superfields in IIB Supergravity
|
8 pages. Slightly longer version with more detail about the boundary
of AdS superspace
|
Phys.Lett. B502 (2001) 259-264
|
10.1016/S0370-2693(01)00149-6
|
KCL-TH-00-48
|
hep-th
| null |
The field strength superfield of IIB supergravity on $AdS_5\xz S^5$ is
expanded in harmonics on $S^5$ with coefficients which are $D=5, N=8$ chiral
superfields. On the boundary of $AdS_5$ these superfields map to $D=4,N=4$
chiral superfields and both sets of superfields obey additional fourth-order
constraints. The constraints on the $D=4,N=4$ chiral fields are solved using
harmonic superspace in terms of prepotential superfields which couple in a
natural way to composite operator multiplets of the boundary $N=4,D=4$
superconformal field theory.
|
[
{
"created": "Fri, 4 Aug 2000 16:29:13 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Dec 2000 11:17:22 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Heslop",
"P.",
""
],
[
"Howe",
"P. S.",
""
]
] |
The field strength superfield of IIB supergravity on $AdS_5\xz S^5$ is expanded in harmonics on $S^5$ with coefficients which are $D=5, N=8$ chiral superfields. On the boundary of $AdS_5$ these superfields map to $D=4,N=4$ chiral superfields and both sets of superfields obey additional fourth-order constraints. The constraints on the $D=4,N=4$ chiral fields are solved using harmonic superspace in terms of prepotential superfields which couple in a natural way to composite operator multiplets of the boundary $N=4,D=4$ superconformal field theory.
| 6.289378
| 5.97203
| 7.082778
| 5.448175
| 5.818814
| 5.260965
| 5.826881
| 5.458978
| 5.935163
| 8.008317
| 5.837628
| 5.741489
| 6.098346
| 5.696183
| 5.643922
| 5.574217
| 5.606981
| 5.642362
| 5.671609
| 6.10498
| 5.660748
|
hep-th/0406031
|
David Bailin
|
D. Bailin & A. Love
|
Non-minimal Higgs content in standard-like models from D-branes at a Z_N
singularity
|
LaTeX, 14 pages. A paragraph generalising the results to left-right
symmetric models has been added
|
Phys.Lett. B598 (2004) 83-91
|
10.1016/j.physletb.2004.07.043
| null |
hep-th
| null |
We show that attempts to construct the standard model, or the MSSM, by
placing D3-branes and D7-branes at a Z_N orbifold or orientifold singularity
all require that the electroweak Higgs content is non-minimal. For the orbifold
the lower bound on the number n(H) + n({\bar{H}}) of electroweak Higgs doublets
is the number n(q^c_L)=6 of quark singlets, and for the orientifold the lower
bound can be one less. As a consequence there is a generic flavour changing
neutral current problem in such models.
|
[
{
"created": "Thu, 3 Jun 2004 08:18:47 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 2004 10:01:22 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Jul 2004 10:54:53 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Bailin",
"D.",
""
],
[
"Love",
"A.",
""
]
] |
We show that attempts to construct the standard model, or the MSSM, by placing D3-branes and D7-branes at a Z_N orbifold or orientifold singularity all require that the electroweak Higgs content is non-minimal. For the orbifold the lower bound on the number n(H) + n({\bar{H}}) of electroweak Higgs doublets is the number n(q^c_L)=6 of quark singlets, and for the orientifold the lower bound can be one less. As a consequence there is a generic flavour changing neutral current problem in such models.
| 10.832088
| 10.205123
| 9.809487
| 8.878256
| 11.954118
| 10.755216
| 9.899253
| 9.631006
| 9.093827
| 11.07491
| 9.331921
| 10.056346
| 9.697365
| 9.662851
| 9.915559
| 10.02416
| 10.212405
| 10.168393
| 9.518455
| 10.614591
| 9.739969
|
2108.02309
|
Washington Taylor
|
David R. Morrison and Washington Taylor
|
Charge completeness and the massless charge lattice in F-theory models
of supergravity
|
43 pages; v2: comments on charge completeness in M-theory, references
added
| null |
10.1007/JHEP12(2021)040
|
MIT-CTP-5172, UCSB-MATH-2021-03
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We prove that, for every 6D supergravity theory that has an F-theory
description, the property of charge completeness for the connected component of
the gauge group (meaning that all charges in the corresponding charge lattice
are realized by massive or massless states in the theory) is equivalent to a
standard assumption made in F-theory for how geometry encodes the global gauge
theory by means of the Mordell-Weil group of the elliptic fibration. This
result also holds in 4D F-theory constructions for the parts of the gauge group
that come from sections and from 7-branes. We find that in many 6D F-theory
models the full charge lattice of the theory is generated by massless charged
states; this occurs for each gauge factor where the associated anomaly
coefficient satisfies a simple positivity condition. We describe many of the
cases where this massless charge sufficiency condition holds, as well as
exceptions where the positivity condition fails, and analyze the related global
structure of the gauge group and associated Mordell-Weil torsion in explicit
F-theory models.
|
[
{
"created": "Wed, 4 Aug 2021 22:57:13 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Aug 2021 19:55:03 GMT",
"version": "v2"
}
] |
2022-01-05
|
[
[
"Morrison",
"David R.",
""
],
[
"Taylor",
"Washington",
""
]
] |
We prove that, for every 6D supergravity theory that has an F-theory description, the property of charge completeness for the connected component of the gauge group (meaning that all charges in the corresponding charge lattice are realized by massive or massless states in the theory) is equivalent to a standard assumption made in F-theory for how geometry encodes the global gauge theory by means of the Mordell-Weil group of the elliptic fibration. This result also holds in 4D F-theory constructions for the parts of the gauge group that come from sections and from 7-branes. We find that in many 6D F-theory models the full charge lattice of the theory is generated by massless charged states; this occurs for each gauge factor where the associated anomaly coefficient satisfies a simple positivity condition. We describe many of the cases where this massless charge sufficiency condition holds, as well as exceptions where the positivity condition fails, and analyze the related global structure of the gauge group and associated Mordell-Weil torsion in explicit F-theory models.
| 9.483816
| 9.126109
| 10.679369
| 8.621494
| 9.211595
| 9.747329
| 9.587372
| 8.998481
| 9.279544
| 11.468007
| 9.135878
| 9.085322
| 9.938203
| 9.296273
| 9.066895
| 9.308113
| 9.531864
| 8.996325
| 9.192634
| 9.834905
| 9.368298
|
1106.3169
|
Henryk Arodz
|
H. Arodz and Z. Swierczynski
|
Swaying oscillons in the signum-Gordon model
|
12 pages, 3 figures
| null |
10.1103/PhysRevD.84.067701
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new class of oscillons in the (1+1)-dimensional signum-Gordon
model. The oscillons periodically move to and fro in the space. They have
finite total energy, finite size, and are strictly periodic in time. The
corresponding solutions of the scalar field equation are explicitly constructed
from the second order polynomials in the time and position coordinates.
|
[
{
"created": "Thu, 16 Jun 2011 08:40:15 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Arodz",
"H.",
""
],
[
"Swierczynski",
"Z.",
""
]
] |
We present a new class of oscillons in the (1+1)-dimensional signum-Gordon model. The oscillons periodically move to and fro in the space. They have finite total energy, finite size, and are strictly periodic in time. The corresponding solutions of the scalar field equation are explicitly constructed from the second order polynomials in the time and position coordinates.
| 10.51052
| 10.820235
| 10.432509
| 8.762355
| 10.486396
| 10.288294
| 10.399926
| 8.996928
| 8.509519
| 12.301575
| 8.923528
| 9.250681
| 9.490479
| 9.479691
| 9.457452
| 9.137732
| 9.276059
| 9.111854
| 9.332633
| 10.164302
| 9.496972
|
hep-th/0009006
|
Ellwanger
|
U. Ellwanger
|
Brane Universes, AdS/CFT, Hamiltonian Formalism and the Renormalization
Group
|
24 pages, 1 fig., based on a lecture at the LPT Orsay
| null | null |
LPT Orsay 00-64
|
hep-th hep-ph
| null |
The AdS/CFT correspondence is developed from classical solutions on AdS_5
with two boundaries. The corresponding limits and the reduction of degrees of
freedom are discussed, as well as the required renormalization on the field
theory side. The Hamiltonian first-order approach towards the solution of
coupled gravitational/matter equations of motion is introduced, and the RG
interpretation is exposed. Finally we discuss a recent approach towards a
naturally vanishing cosmological constant which is based on the AdS/RG
correspondence.
|
[
{
"created": "Fri, 1 Sep 2000 13:14:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ellwanger",
"U.",
""
]
] |
The AdS/CFT correspondence is developed from classical solutions on AdS_5 with two boundaries. The corresponding limits and the reduction of degrees of freedom are discussed, as well as the required renormalization on the field theory side. The Hamiltonian first-order approach towards the solution of coupled gravitational/matter equations of motion is introduced, and the RG interpretation is exposed. Finally we discuss a recent approach towards a naturally vanishing cosmological constant which is based on the AdS/RG correspondence.
| 16.8827
| 15.935715
| 14.960392
| 14.923175
| 14.855512
| 15.282253
| 15.525186
| 16.432341
| 14.282173
| 14.802673
| 16.179411
| 14.491728
| 15.052176
| 14.709079
| 15.098085
| 15.176219
| 14.740927
| 15.506227
| 14.538859
| 15.026647
| 15.138238
|
hep-th/9703117
|
Eduardo Ramos
|
Eduardo Ramos
|
Three dimensional strings. I. Classical theory
|
15 pages, LaTeX (elsart macros), I drop a conjecture about the
quantization of the model that now seems unwarranted. This does not alter the
results of the paper. A few misprints are also corrected
| null | null |
FTUAM 97/3
|
hep-th
| null |
I consider a three-dimensional string theory whose action, besides the
standard area term, contains one of the form $\int_{\Sigma}
\epsilon_{\mu\nu\sigma} X^{\mu} d X^{\nu} \wedge d X^{\sigma}$. In the case of
closed strings this extra term has a simple geometrical interpretation as the
volume enclosed by the surface. The associated variational problem yields as
solutions constant mean curvature surfaces. One may then show the equivalence
of this equation of motion to that of an SU(2) principal chiral model coupled
to gravity. It is also possible by means of the Kemmotsu representation
theorem, restricted to constant curvature surfaces, to map the solution space
of the string model into the one of the $CP^1$ nonlinear sigma model. I also
show how a description of the Gauss map of the surface in terms of SU(2)
spinors allows for yet a different description of this result by means of a
Gross-Neveu spinorial model coupled to 2-D gravity. The standard
three-dimensional string equations can also be recovered by setting the
current-current coupling to zero.
|
[
{
"created": "Mon, 17 Mar 1997 11:52:14 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Apr 1997 12:34:46 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Ramos",
"Eduardo",
""
]
] |
I consider a three-dimensional string theory whose action, besides the standard area term, contains one of the form $\int_{\Sigma} \epsilon_{\mu\nu\sigma} X^{\mu} d X^{\nu} \wedge d X^{\sigma}$. In the case of closed strings this extra term has a simple geometrical interpretation as the volume enclosed by the surface. The associated variational problem yields as solutions constant mean curvature surfaces. One may then show the equivalence of this equation of motion to that of an SU(2) principal chiral model coupled to gravity. It is also possible by means of the Kemmotsu representation theorem, restricted to constant curvature surfaces, to map the solution space of the string model into the one of the $CP^1$ nonlinear sigma model. I also show how a description of the Gauss map of the surface in terms of SU(2) spinors allows for yet a different description of this result by means of a Gross-Neveu spinorial model coupled to 2-D gravity. The standard three-dimensional string equations can also be recovered by setting the current-current coupling to zero.
| 8.587531
| 9.58612
| 9.2792
| 8.694046
| 10.152642
| 9.028647
| 9.009257
| 8.626904
| 8.932783
| 9.743372
| 9.23407
| 8.281734
| 8.176166
| 8.314964
| 8.256547
| 8.040143
| 8.132344
| 7.97694
| 8.284214
| 8.415514
| 8.012811
|
hep-th/0403197
|
Carlo Piccioni
|
L.Girardello, C.Piccioni, M.Porrati
|
D-Brane Interactions in a Gravitational Shock Wave Background
|
To be published in Modern Physics Letters A, revised version with
references added, 12 pages
|
Mod.Phys.Lett. A19 (2004) 2059-2068
|
10.1142/S0217732304015336
| null |
hep-th
| null |
We study D-branes in the background of a gravitational shock wave. We
consider the case of parallel D-branes located on opposite sides with respect
to the shock wave. Their interaction is studied by evaluating the cylinder
diagram using the boundary states technique. Boundary states are defined at
each D-brane and their scalar product is evaluated after propagation through
the shock wave. Taking the limit where the gravitational shock wave vanishes we
show that the amplitude evaluated is consistent with the flat space-time
result.
|
[
{
"created": "Fri, 19 Mar 2004 20:12:18 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jul 2004 21:21:03 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Girardello",
"L.",
""
],
[
"Piccioni",
"C.",
""
],
[
"Porrati",
"M.",
""
]
] |
We study D-branes in the background of a gravitational shock wave. We consider the case of parallel D-branes located on opposite sides with respect to the shock wave. Their interaction is studied by evaluating the cylinder diagram using the boundary states technique. Boundary states are defined at each D-brane and their scalar product is evaluated after propagation through the shock wave. Taking the limit where the gravitational shock wave vanishes we show that the amplitude evaluated is consistent with the flat space-time result.
| 9.808568
| 10.831362
| 10.039664
| 9.422352
| 10.458053
| 9.771446
| 11.11742
| 9.896177
| 10.032284
| 10.318682
| 10.144933
| 9.711303
| 9.342297
| 9.427093
| 10.665962
| 9.928875
| 9.898104
| 9.979881
| 9.648121
| 9.816136
| 9.57884
|
hep-th/0208167
|
David A. Lowe
|
Kevin Goldstein and David A. Lowe
|
Initial state effects on the cosmic microwave background and
trans-planckian physics
|
10 pages, harvmac, references added, expanded discussion
|
Phys.Rev. D67 (2003) 063502
|
10.1103/PhysRevD.67.063502
|
BROWN-HET-1329
|
hep-th astro-ph gr-qc
| null |
There exist a one complex parameter family of de Sitter invariant vacua,
known as alpha vacua. In the context of slow roll inflation, we show that all
but the Bunch-Davies vacuum generates unacceptable production of high energy
particles at the end of inflation. As a simple model for the effects of
trans-planckian physics, we go on to consider non-de Sitter invariant vacua
obtained by patching modes in the Bunch-Davies vacuum above some momentum scale
M_c, with modes in an alpha vacuum below M_c. Choosing M_c near the Planck
scale M_pl, we find acceptable levels of hard particle production, and
corrections to the cosmic microwave perturbations at the level of H M_pl/M_c^2,
where H is the Hubble parameter during inflation. More general initial states
of this type with H<< M_c << M_pl can give corrections to the spectrum of
cosmic microwave background perturbations at order 1. The parameter
characterizing the alpha-vacuum during inflation is a new cosmological
observable.
|
[
{
"created": "Thu, 22 Aug 2002 20:51:13 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Sep 2002 18:26:20 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Goldstein",
"Kevin",
""
],
[
"Lowe",
"David A.",
""
]
] |
There exist a one complex parameter family of de Sitter invariant vacua, known as alpha vacua. In the context of slow roll inflation, we show that all but the Bunch-Davies vacuum generates unacceptable production of high energy particles at the end of inflation. As a simple model for the effects of trans-planckian physics, we go on to consider non-de Sitter invariant vacua obtained by patching modes in the Bunch-Davies vacuum above some momentum scale M_c, with modes in an alpha vacuum below M_c. Choosing M_c near the Planck scale M_pl, we find acceptable levels of hard particle production, and corrections to the cosmic microwave perturbations at the level of H M_pl/M_c^2, where H is the Hubble parameter during inflation. More general initial states of this type with H<< M_c << M_pl can give corrections to the spectrum of cosmic microwave background perturbations at order 1. The parameter characterizing the alpha-vacuum during inflation is a new cosmological observable.
| 9.433343
| 10.369431
| 9.012095
| 8.874868
| 9.348382
| 9.985044
| 10.375872
| 9.313388
| 9.323466
| 10.008692
| 9.524445
| 8.926251
| 9.0315
| 9.101577
| 9.110038
| 9.247554
| 8.9582
| 8.918081
| 9.283471
| 9.121854
| 9.191656
|
1005.4848
|
Axel Kleinschmidt
|
Ling Bao, Axel Kleinschmidt, Bengt E. W. Nilsson, Daniel Persson,
Boris Pioline
|
Rigid Calabi-Yau threefolds, Picard Eisenstein series and instantons
|
8 pages, for the proceedings of Quantum Theories and Symmetries VI
| null | null | null |
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Type IIA string theory compactified on a rigid Calabi-Yau threefold gives
rise to a classical moduli space that carries an isometric action of U(2,1).
Various quantum corrections break this continuous isometry to a discrete
subgroup. Focussing on the case where the intermediate Jacobian of the
Calabi-Yau admits complex multiplication by the ring of quadratic imaginary
integers O_d, we argue that the remaining quantum duality group is an
arithmetic Picard modular group PU(2,1;O_d). Based on this proposal we
construct an Eisenstein series invariant under this duality group and study its
non-Abelian Fourier expansion. This allows the prediction of non-perturbative
effects, notably the contribution of D2- and NS5-brane instantons. The present
work extends our previous analysis in 0909.4299 which was restricted to the
special case of the Gaussian integers O_1=Z[i].
|
[
{
"created": "Wed, 26 May 2010 15:41:21 GMT",
"version": "v1"
}
] |
2010-05-27
|
[
[
"Bao",
"Ling",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Nilsson",
"Bengt E. W.",
""
],
[
"Persson",
"Daniel",
""
],
[
"Pioline",
"Boris",
""
]
] |
Type IIA string theory compactified on a rigid Calabi-Yau threefold gives rise to a classical moduli space that carries an isometric action of U(2,1). Various quantum corrections break this continuous isometry to a discrete subgroup. Focussing on the case where the intermediate Jacobian of the Calabi-Yau admits complex multiplication by the ring of quadratic imaginary integers O_d, we argue that the remaining quantum duality group is an arithmetic Picard modular group PU(2,1;O_d). Based on this proposal we construct an Eisenstein series invariant under this duality group and study its non-Abelian Fourier expansion. This allows the prediction of non-perturbative effects, notably the contribution of D2- and NS5-brane instantons. The present work extends our previous analysis in 0909.4299 which was restricted to the special case of the Gaussian integers O_1=Z[i].
| 6.156453
| 6.962529
| 8.470059
| 6.47594
| 7.157891
| 6.892556
| 6.978694
| 7.094161
| 6.581355
| 10.395634
| 6.90457
| 6.305746
| 6.630123
| 6.08527
| 6.186435
| 6.251515
| 6.204477
| 6.173362
| 6.037588
| 6.524455
| 6.084519
|
hep-th/0207184
|
Laurent Baulieu
|
L. Baulieu (LPTHE)
|
Going down from a 3-form in 16 dimensions
|
14 pages
|
Phys.Lett. B544 (2002) 367-373
|
10.1016/S0370-2693(02)02511-X
|
PAR-LPTHE 02-39
|
hep-th
| null |
Group theory indicates the existence of a $SO(8) X SO(7) \subset SO(16)$
invariant self-duality equation for a 3-form in 16 dimensions. It is a signal
for interesting topological field theories, especially on 8-dimensional
manifolds with holonomy group smaller than or equal to Spin(7), with a gauge
symmetry that is SO(8) or SO(7). Dimensional reduction also provides new
supersymmetric theories in 4 and lower dimensions, as well as a model with
gravitational interactions in 8 dimensions, which relies on the octonionic
gravitational self-duality equation.
|
[
{
"created": "Fri, 19 Jul 2002 14:13:12 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Baulieu",
"L.",
"",
"LPTHE"
]
] |
Group theory indicates the existence of a $SO(8) X SO(7) \subset SO(16)$ invariant self-duality equation for a 3-form in 16 dimensions. It is a signal for interesting topological field theories, especially on 8-dimensional manifolds with holonomy group smaller than or equal to Spin(7), with a gauge symmetry that is SO(8) or SO(7). Dimensional reduction also provides new supersymmetric theories in 4 and lower dimensions, as well as a model with gravitational interactions in 8 dimensions, which relies on the octonionic gravitational self-duality equation.
| 12.882553
| 11.627789
| 13.296059
| 11.838432
| 11.964574
| 11.744243
| 12.205727
| 11.618458
| 12.148478
| 14.590483
| 12.338382
| 11.481095
| 12.113039
| 11.63554
| 11.178179
| 11.568919
| 10.806847
| 11.913093
| 11.436593
| 12.952288
| 12.099563
|
hep-th/9409178
|
P. Ramadevi
|
B. Basu-Mallick and P. Ramadevi
|
Construction of Yangian algebra through a multi-deformation parameter
dependent rational $R$-matrix
|
14 pages plain LATEX
| null | null |
IMSc preprint-94/38
|
hep-th
| null |
Yang-Baxterising a braid group representation associated with multideformed
version of $GL_{q}(N)$ quantum group and taking the corresponding $q\rightarrow
1$ limit, we obtain a rational $R$-matrix which depends on $\left ( 1+ {N(N-1)
\over 2} \right ) $ number of deformation parameters. By using such rational
$R$-matrix subsequently we construct a multiparameter dependent extension of
$Y(gl_N)$ Yangian algebra and find that this extended algebra leads to a
modification of usual asymptotic condition on monodromy matrix $T(\lambda )$,
at $ \lambda \rightarrow \infty $ limit. Moreover, it turns out that, there
exists a nonlinear realisation of this extended algebra through the generators
of original $Y(gl_N)$ algebra. Such realisation interestingly provides a novel
$\left ( 1 + { N(N-1) \over 2 } \right ) $ number of deformation parameter
dependent coproduct for standard $Y(gl_N)$ algebra.
|
[
{
"created": "Wed, 28 Sep 1994 19:26:20 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Basu-Mallick",
"B.",
""
],
[
"Ramadevi",
"P.",
""
]
] |
Yang-Baxterising a braid group representation associated with multideformed version of $GL_{q}(N)$ quantum group and taking the corresponding $q\rightarrow 1$ limit, we obtain a rational $R$-matrix which depends on $\left ( 1+ {N(N-1) \over 2} \right ) $ number of deformation parameters. By using such rational $R$-matrix subsequently we construct a multiparameter dependent extension of $Y(gl_N)$ Yangian algebra and find that this extended algebra leads to a modification of usual asymptotic condition on monodromy matrix $T(\lambda )$, at $ \lambda \rightarrow \infty $ limit. Moreover, it turns out that, there exists a nonlinear realisation of this extended algebra through the generators of original $Y(gl_N)$ algebra. Such realisation interestingly provides a novel $\left ( 1 + { N(N-1) \over 2 } \right ) $ number of deformation parameter dependent coproduct for standard $Y(gl_N)$ algebra.
| 7.580907
| 7.9303
| 8.442777
| 7.133842
| 6.961057
| 7.763426
| 7.847753
| 7.367566
| 7.110241
| 8.66926
| 7.218104
| 7.370232
| 7.62254
| 7.028507
| 7.119328
| 7.032773
| 7.40388
| 7.148645
| 7.334553
| 7.660515
| 7.100351
|
1102.1219
|
Luca Mazzucato
|
Brenno Carlini Vallilo and Luca Mazzucato
|
The Konishi multiplet at strong coupling
|
4 pages; v2: corrections and improvements, conclusions unchanged
| null |
10.1007/JHEP12(2011)029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a method to compute from first principles the anomalous
dimension of short operators in N=4 super Yang-Mills theory at strong coupling,
where they are described in terms of superstring vertex operators in an anti-de
Sitter background. We focus on the Konishi multiplet, dual to the first massive
level of the superstring, and compute the one-loop correction to its anomalous
dimension at strong coupling, using the pure spinor formalism for the
superstring.
|
[
{
"created": "Mon, 7 Feb 2011 00:54:14 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Feb 2011 19:27:56 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Vallilo",
"Brenno Carlini",
""
],
[
"Mazzucato",
"Luca",
""
]
] |
We introduce a method to compute from first principles the anomalous dimension of short operators in N=4 super Yang-Mills theory at strong coupling, where they are described in terms of superstring vertex operators in an anti-de Sitter background. We focus on the Konishi multiplet, dual to the first massive level of the superstring, and compute the one-loop correction to its anomalous dimension at strong coupling, using the pure spinor formalism for the superstring.
| 5.13613
| 4.678707
| 6.714548
| 4.469319
| 4.361222
| 4.397756
| 4.668663
| 4.524484
| 4.401325
| 6.065053
| 4.69772
| 4.655677
| 5.363976
| 4.538136
| 4.793649
| 4.640997
| 4.398911
| 4.620807
| 4.439355
| 5.310465
| 4.795149
|
hep-th/9403185
|
Peter West
|
P. West
|
$W$ Strings and Cohomology in Parafermionic Theories
|
14 pages, KCL-TH-94-4. A few sentences of clarification are added on
page 11 and equation (27) is extended
|
Phys.Lett. B329 (1994) 199-207
|
10.1016/0370-2693(94)90761-7
| null |
hep-th
| null |
By enforcing locality we relate the cohomology found in parafermionic
theories to that occurring in $W$ strings. This link provides a systematic
method of finding states in the cohomology of $W_{2,s}$ strings.
|
[
{
"created": "Wed, 30 Mar 1994 14:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Apr 1994 11:44:24 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Apr 1994 13:54:34 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"West",
"P.",
""
]
] |
By enforcing locality we relate the cohomology found in parafermionic theories to that occurring in $W$ strings. This link provides a systematic method of finding states in the cohomology of $W_{2,s}$ strings.
| 29.858196
| 15.965858
| 25.231306
| 15.254125
| 15.662617
| 14.833965
| 15.776196
| 15.249615
| 15.104847
| 27.548563
| 16.04705
| 17.883472
| 19.088799
| 16.64299
| 17.083393
| 17.321442
| 16.717644
| 16.4207
| 17.196039
| 18.965023
| 16.85327
|
hep-th/0208028
|
Kluson Josef
|
J. Kluson
|
Time Dependent Solution in Open Bosonic String Field Theory
|
13 pages
| null | null | null |
hep-th
| null |
In this paper we present time dependent solution of the open bosonic string
field theory describing the motion of the tachyon on unstable D-brane.
|
[
{
"created": "Sat, 3 Aug 2002 18:03:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kluson",
"J.",
""
]
] |
In this paper we present time dependent solution of the open bosonic string field theory describing the motion of the tachyon on unstable D-brane.
| 11.513416
| 5.747229
| 10.892764
| 6.320704
| 5.546936
| 6.542473
| 5.666175
| 5.733999
| 5.446126
| 11.063282
| 5.752591
| 6.22892
| 8.457101
| 6.424564
| 6.606093
| 6.51545
| 5.98421
| 6.583052
| 6.085626
| 7.733685
| 6.559957
|
0912.2974
|
Everton Murilo Carvalho Abreu
|
E. M. C. Abreu, A. C. R. Mendes, C. Neves, W. Oliveira, R. C. N. Silva
and C. Wotzasek
|
Obtaining non-Abelian field theories via Faddeev-Jackiw symplectic
formalism
|
6 pages. Revtex 4.1
|
Phys.Lett.A374:3603-3607,2010
|
10.1016/j.physleta.2010.07.006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we have shown that it is possible to construct non-Abelian field
theories employing, in a systematic way, the Faddeev-Jackiw symplectic
formalism. This approach follows two steps. In the first step, the original
Abelian fields are modified in order to introduce the non-Abelian algebra.
After that, the Faddeev-Jackiw method is implemented and the gauge symmetry
relative to some non-Abelian symmetry group, is introduced through the
zero-mode of the symplectic matrix. We construct the SU(2) and SU(2)xU(1)
Yang-Mills theories having as starting point the U(1) Maxwell electromagnetic
theory.
|
[
{
"created": "Tue, 15 Dec 2009 18:24:51 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Abreu",
"E. M. C.",
""
],
[
"Mendes",
"A. C. R.",
""
],
[
"Neves",
"C.",
""
],
[
"Oliveira",
"W.",
""
],
[
"Silva",
"R. C. N.",
""
],
[
"Wotzasek",
"C.",
""
]
] |
In this work we have shown that it is possible to construct non-Abelian field theories employing, in a systematic way, the Faddeev-Jackiw symplectic formalism. This approach follows two steps. In the first step, the original Abelian fields are modified in order to introduce the non-Abelian algebra. After that, the Faddeev-Jackiw method is implemented and the gauge symmetry relative to some non-Abelian symmetry group, is introduced through the zero-mode of the symplectic matrix. We construct the SU(2) and SU(2)xU(1) Yang-Mills theories having as starting point the U(1) Maxwell electromagnetic theory.
| 6.572586
| 6.013889
| 6.269332
| 6.147408
| 5.775499
| 6.104888
| 6.083297
| 5.519821
| 6.091316
| 6.843354
| 6.066286
| 5.912796
| 6.358621
| 5.974918
| 5.87944
| 5.818234
| 5.963534
| 5.898112
| 6.050803
| 6.385134
| 5.861192
|
2205.09282
|
Mois\'es Bravo-Gaete
|
Mois\'es Bravo-Gaete, Luis Guajardo and Julio Oliva
|
Non-linear charged planar black holes in four-dimensional
Scalar-Gauss-Bonnet theories
|
10 pages, 3 figures, Accepted for publication in Physical Review D
| null |
10.1103/PhysRevD.106.024017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we consider the recently proposed well-defined theory that
permits a healthy $D\to 4$ limit of the Einstein-Gauss-Bonnet combination,
which requires the addition of a scalar degree of freedom. We continue the
construction of exact, hairy black hole solutions in this theory in the
presence of matter sources, by considering a nonlinear electrodynamics source,
constructed through the Pleba\'nski tensor and a precise structural function
$\mathcal{H}(P)$. Computing the thermodynamic quantities with the Wald
formalism, we identify a region in parameter space where the hairy black holes
posses well-defined, non-vanishing, finite thermodynamic quantities, in spite
of the relaxed asymptotic approach to planar AdS. We test its local stability
under thermal and electrical fluctuations and we also show that a Smarr
relation is satisfied for these black hole configurations.
|
[
{
"created": "Thu, 19 May 2022 02:12:13 GMT",
"version": "v1"
},
{
"created": "Thu, 26 May 2022 02:46:12 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Jul 2022 13:48:52 GMT",
"version": "v3"
}
] |
2022-07-27
|
[
[
"Bravo-Gaete",
"Moisés",
""
],
[
"Guajardo",
"Luis",
""
],
[
"Oliva",
"Julio",
""
]
] |
In this work, we consider the recently proposed well-defined theory that permits a healthy $D\to 4$ limit of the Einstein-Gauss-Bonnet combination, which requires the addition of a scalar degree of freedom. We continue the construction of exact, hairy black hole solutions in this theory in the presence of matter sources, by considering a nonlinear electrodynamics source, constructed through the Pleba\'nski tensor and a precise structural function $\mathcal{H}(P)$. Computing the thermodynamic quantities with the Wald formalism, we identify a region in parameter space where the hairy black holes posses well-defined, non-vanishing, finite thermodynamic quantities, in spite of the relaxed asymptotic approach to planar AdS. We test its local stability under thermal and electrical fluctuations and we also show that a Smarr relation is satisfied for these black hole configurations.
| 13.231654
| 11.795647
| 11.545707
| 10.646546
| 12.034146
| 11.688506
| 11.108301
| 10.941521
| 11.553216
| 12.27638
| 12.003354
| 12.090101
| 12.003408
| 11.768599
| 11.801414
| 11.708091
| 11.917032
| 12.04489
| 12.231665
| 12.021649
| 11.953625
|
1803.03078
|
Rafael Hernandez
|
Rafael Hernandez, Juan Miguel Nieto, Roberto Ruiz
|
Pulsating strings with mixed three-form flux
|
10 pages. Latex
| null |
10.1007/JHEP04(2018)078
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Circular strings pulsating in $AdS_3 \times S^3 \times T^4$ with mixed R-R
and NS-NS three-form fluxes can be described by an integrable deformation of
the one-dimensional Neumann-Rosochatius mechanical model. In this article we
find a general class of pulsating solutions to this integrable system that can
be expressed in terms of elliptic functions. In the limit of strings moving in
$AdS_{3}$ with pure NS-NS three-form flux, where the action reduces to the
$SL(2,\mathbb{R})$ WZW model, we find agreement with the analysis of the
classical solutions of the system performed using spectral flow by Maldacena
and Ooguri. We use our elliptic solutions in $AdS_{3}$ to extend the dispersion
relation beyond the limit of pure NS-NS flux.
|
[
{
"created": "Thu, 8 Mar 2018 13:22:01 GMT",
"version": "v1"
}
] |
2018-05-23
|
[
[
"Hernandez",
"Rafael",
""
],
[
"Nieto",
"Juan Miguel",
""
],
[
"Ruiz",
"Roberto",
""
]
] |
Circular strings pulsating in $AdS_3 \times S^3 \times T^4$ with mixed R-R and NS-NS three-form fluxes can be described by an integrable deformation of the one-dimensional Neumann-Rosochatius mechanical model. In this article we find a general class of pulsating solutions to this integrable system that can be expressed in terms of elliptic functions. In the limit of strings moving in $AdS_{3}$ with pure NS-NS three-form flux, where the action reduces to the $SL(2,\mathbb{R})$ WZW model, we find agreement with the analysis of the classical solutions of the system performed using spectral flow by Maldacena and Ooguri. We use our elliptic solutions in $AdS_{3}$ to extend the dispersion relation beyond the limit of pure NS-NS flux.
| 5.072366
| 4.505659
| 6.17672
| 4.238465
| 4.410376
| 4.512816
| 4.335044
| 4.555203
| 4.416288
| 6.678507
| 4.570292
| 4.63286
| 4.978467
| 4.734846
| 4.73281
| 4.567557
| 4.660116
| 4.568264
| 4.584167
| 4.895367
| 4.751194
|
hep-th/9504110
|
Cezary Juszczak
|
Malgorzata Klimek, Jerzy Lukierski
|
kappa-deformed realisation of D=4 conformal algebra
|
13 pages, to appear in the memorial Issue of Acta Physica Polonica B
dedicated to the memory of Professor Jan Rzewuski
|
Acta Phys. Polon. B26 (1995) 1209-1216
| null | null |
hep-th
| null |
We describe the generators of kappa-conformal transformations, leaving
invariant the kappa-deformed d'Alembert equation. In such a way one obtains the
conformal extension of the off-shell spin zero realization of kappa-deformed
Poincare algebra. Finally the algebraic structure of kappa-deformed conformal
algebra is discussed.
|
[
{
"created": "Fri, 21 Apr 1995 12:54:58 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Klimek",
"Malgorzata",
""
],
[
"Lukierski",
"Jerzy",
""
]
] |
We describe the generators of kappa-conformal transformations, leaving invariant the kappa-deformed d'Alembert equation. In such a way one obtains the conformal extension of the off-shell spin zero realization of kappa-deformed Poincare algebra. Finally the algebraic structure of kappa-deformed conformal algebra is discussed.
| 9.594703
| 9.858868
| 10.804728
| 8.18908
| 9.466402
| 8.929423
| 9.015384
| 9.402184
| 8.859837
| 12.042237
| 8.913119
| 8.780413
| 10.5805
| 9.248191
| 9.00981
| 8.655757
| 8.953624
| 9.893259
| 9.224666
| 10.74002
| 8.975258
|
hep-th/9508121
|
Leonid Burakovsky
|
L. Burakovsky, L.P. Horwitz and W.C. Schieve
|
On Relativistic Bose-Einstein Condensation
| null | null | null | null |
hep-th
| null |
We discuss the properties of an ideal relativistic gas of events possessing
Bose-Einstein statistics. We find that the mass spectrum of such a system is
bounded by $\mu \leq m\leq 2M/\mu _K,$ where $\mu $ is the usual chemical
potential, $M$ is an intrinsic dimensional scale parameter for the motion of an
event in space-time, and $\mu _K$ is an additional mass potential of the
ensemble. For the system including both particles and antiparticles, with
nonzero chemical potential $\mu ,$ the mass spectrum is shown to be bounded by
$|\mu |\leq m\leq 2M/\mu _K,$ and a special type of high-temperature
Bose-Einstein condensation can occur. We study this Bose-Einstein condensation,
and show that it corresponds to a phase transition from the sector of
continuous relativistic mass distributions to a sector in which the boson mass
distribution becomes sharp at a definite mass $M/\mu _K.$ This phenomenon
provides a mechanism for the mass distribution of the particles to be sharp at
some definite value.
|
[
{
"created": "Thu, 24 Aug 1995 09:51:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Burakovsky",
"L.",
""
],
[
"Horwitz",
"L. P.",
""
],
[
"Schieve",
"W. C.",
""
]
] |
We discuss the properties of an ideal relativistic gas of events possessing Bose-Einstein statistics. We find that the mass spectrum of such a system is bounded by $\mu \leq m\leq 2M/\mu _K,$ where $\mu $ is the usual chemical potential, $M$ is an intrinsic dimensional scale parameter for the motion of an event in space-time, and $\mu _K$ is an additional mass potential of the ensemble. For the system including both particles and antiparticles, with nonzero chemical potential $\mu ,$ the mass spectrum is shown to be bounded by $|\mu |\leq m\leq 2M/\mu _K,$ and a special type of high-temperature Bose-Einstein condensation can occur. We study this Bose-Einstein condensation, and show that it corresponds to a phase transition from the sector of continuous relativistic mass distributions to a sector in which the boson mass distribution becomes sharp at a definite mass $M/\mu _K.$ This phenomenon provides a mechanism for the mass distribution of the particles to be sharp at some definite value.
| 8.639998
| 6.145529
| 8.846359
| 6.989907
| 5.947496
| 5.748748
| 5.970167
| 6.768019
| 7.159204
| 9.37392
| 7.291639
| 7.942912
| 8.503497
| 8.034558
| 7.79676
| 7.425252
| 7.729607
| 8.11606
| 7.959355
| 8.455653
| 8.105964
|
0901.4428
|
Derek Harland
|
Derek Harland and R. S. Ward
|
Dynamics of Periodic Monopoles
|
12 pages, 1 figure More details of numerical methods included
|
Phys.Lett.B675:262-266,2009
|
10.1016/j.physletb.2009.03.074
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
BPS monopoles which are periodic in one of the spatial directions correspond,
via a generalized Nahm transform, to solutions of the Hitchin equations on a
cylinder. A one-parameter family of solutions of these equations, representing
a geodesic in the 2-monopole moduli space, is constructed numerically. It
corresponds to a slow-motion dynamical evolution, in which two parallel
monopole chains collide and scatter at right angles.
|
[
{
"created": "Wed, 28 Jan 2009 10:26:21 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Apr 2009 13:35:30 GMT",
"version": "v2"
}
] |
2011-03-28
|
[
[
"Harland",
"Derek",
""
],
[
"Ward",
"R. S.",
""
]
] |
BPS monopoles which are periodic in one of the spatial directions correspond, via a generalized Nahm transform, to solutions of the Hitchin equations on a cylinder. A one-parameter family of solutions of these equations, representing a geodesic in the 2-monopole moduli space, is constructed numerically. It corresponds to a slow-motion dynamical evolution, in which two parallel monopole chains collide and scatter at right angles.
| 10.247881
| 7.586271
| 10.901128
| 8.083288
| 7.601788
| 7.686816
| 8.083891
| 8.111232
| 7.709451
| 12.163053
| 7.737216
| 7.942274
| 9.055905
| 8.555994
| 7.986948
| 8.454234
| 8.003726
| 8.740026
| 8.316211
| 8.505844
| 8.051784
|
1403.5281
|
David Garner
|
David Garner, Sanjaye Ramgoolam, Congkao Wen
|
Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime
in AdS5
|
52 pages, 6 figures
| null |
10.1007/JHEP11(2014)076
|
QMUL-PH-13-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Large $N$ factorization ensures that, for low-dimension gauge-invariant
operators in the half-BPS sector of ${\cal N}=4$ SYM, products of holomorphic
traces have vanishing correlators with single anti-holomorphic traces. This
vanishing is necessary to consistently map trace operators in the CFT$_4$ to a
Fock space of graviton oscillations in the dual AdS$_5$. We investigate the
regimes at which the CFT correlators do not vanish but become of order one in
the large $N$ limit, which we call a factorization threshold. Quite generally,
we find the threshold to be when the product of the two holomorphic operator
dimensions is of order $N\log N$. Our analysis considers extremal and
non-extremal correlators and correlators in states dual to LLM backgrounds, and
we observe intriguing similarities between the the energy-dependent running
coupling of non-abelian gauge theories and our threshold equations. Finally, we
discuss some interpretations of the threshold within the bulk AdS spacetime.
|
[
{
"created": "Thu, 20 Mar 2014 20:07:14 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Dec 2014 14:18:22 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Garner",
"David",
""
],
[
"Ramgoolam",
"Sanjaye",
""
],
[
"Wen",
"Congkao",
""
]
] |
Large $N$ factorization ensures that, for low-dimension gauge-invariant operators in the half-BPS sector of ${\cal N}=4$ SYM, products of holomorphic traces have vanishing correlators with single anti-holomorphic traces. This vanishing is necessary to consistently map trace operators in the CFT$_4$ to a Fock space of graviton oscillations in the dual AdS$_5$. We investigate the regimes at which the CFT correlators do not vanish but become of order one in the large $N$ limit, which we call a factorization threshold. Quite generally, we find the threshold to be when the product of the two holomorphic operator dimensions is of order $N\log N$. Our analysis considers extremal and non-extremal correlators and correlators in states dual to LLM backgrounds, and we observe intriguing similarities between the the energy-dependent running coupling of non-abelian gauge theories and our threshold equations. Finally, we discuss some interpretations of the threshold within the bulk AdS spacetime.
| 12.173923
| 11.695829
| 12.456788
| 10.895413
| 12.166575
| 11.505425
| 11.875982
| 11.425749
| 10.999214
| 13.755094
| 11.387768
| 10.786925
| 11.568717
| 10.941549
| 10.904639
| 11.076619
| 11.020689
| 11.135167
| 10.90006
| 11.301313
| 11.049828
|
1208.6136
|
Cosimo Restuccia
|
Stefan Fredenhagen, Cosimo Restuccia
|
The geometry of the limit of N=2 minimal models
|
35 pages, 3 figures; v2 minor corrections, version to be published in
J. Phys. A
| null |
10.1088/1751-8113/46/4/045402
|
AEI-2012-087
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the limit of two-dimensional N=(2,2) superconformal minimal
models when the central charge approaches c=3. Starting from a geometric
description as non-linear sigma models, we show that one can obtain two
different limit theories. One is the free theory of two bosons and two
fermions, the other one is a continuous orbifold thereof. We substantiate this
claim by detailed conformal field theory computations.
|
[
{
"created": "Thu, 30 Aug 2012 11:05:23 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2013 11:05:37 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Fredenhagen",
"Stefan",
""
],
[
"Restuccia",
"Cosimo",
""
]
] |
We consider the limit of two-dimensional N=(2,2) superconformal minimal models when the central charge approaches c=3. Starting from a geometric description as non-linear sigma models, we show that one can obtain two different limit theories. One is the free theory of two bosons and two fermions, the other one is a continuous orbifold thereof. We substantiate this claim by detailed conformal field theory computations.
| 7.377164
| 5.910087
| 8.545412
| 6.339902
| 6.498113
| 6.213559
| 6.314739
| 5.826172
| 6.278265
| 8.497975
| 6.232666
| 6.54666
| 8.293447
| 6.602868
| 6.885239
| 6.863002
| 6.85322
| 6.853701
| 6.784219
| 7.870905
| 6.847826
|
1203.1443
|
Niklas Beisert
|
Niklas Beisert, Song He, Burkhard U. W. Schwab, Cristian Vergu
|
Null Polygonal Wilson Loops in Full N=4 Superspace
|
55 pages, v2: reference added
|
J. Phys. A45 (2012) 265402
|
10.1088/1751-8113/45/26/265402
|
AEI-2012-007; NSF-KITP-12-011
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the one-loop expectation value of light-like polygonal Wilson
loops in N=4 super-Yang-Mills theory in full superspace. When projecting to
chiral superspace we recover the known results for tree-level
next-to-maximally-helicity-violating (NMHV) scattering amplitude. The one-loop
MHV amplitude is also included in our result but there are additional terms
which do not immediately correspond to scattering amplitudes. We finally
discuss different regularizations and their Yangian anomalies.
|
[
{
"created": "Wed, 7 Mar 2012 11:30:17 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Mar 2012 09:57:32 GMT",
"version": "v2"
}
] |
2012-06-18
|
[
[
"Beisert",
"Niklas",
""
],
[
"He",
"Song",
""
],
[
"Schwab",
"Burkhard U. W.",
""
],
[
"Vergu",
"Cristian",
""
]
] |
We compute the one-loop expectation value of light-like polygonal Wilson loops in N=4 super-Yang-Mills theory in full superspace. When projecting to chiral superspace we recover the known results for tree-level next-to-maximally-helicity-violating (NMHV) scattering amplitude. The one-loop MHV amplitude is also included in our result but there are additional terms which do not immediately correspond to scattering amplitudes. We finally discuss different regularizations and their Yangian anomalies.
| 8.359844
| 7.702443
| 11.216261
| 7.227587
| 7.801355
| 7.664755
| 8.045449
| 7.933849
| 7.471775
| 10.809545
| 7.727615
| 7.615969
| 8.405628
| 7.814658
| 8.02801
| 7.842391
| 7.667966
| 8.109548
| 7.854023
| 8.200127
| 7.775034
|
0809.1042
|
Usha Kulshreshtha Dr.
|
Usha Kulshreshtha
|
Vector Schwinger Model with a Photon Mass Term on the Light-Front
|
06pages, conference
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Vector Schwinger model with a mass term for the photon, describing 2D
electrodyn amics with massless fermions, studied by us recently, represents a
new class of models. This theory becomes gauge-invariant when studied on the
light-front. Thi s is in contrast to the instant-form theory which is
gauge-noninvariant. We quan tize this theory on the light-front.
|
[
{
"created": "Fri, 5 Sep 2008 15:04:16 GMT",
"version": "v1"
}
] |
2008-09-08
|
[
[
"Kulshreshtha",
"Usha",
""
]
] |
Vector Schwinger model with a mass term for the photon, describing 2D electrodyn amics with massless fermions, studied by us recently, represents a new class of models. This theory becomes gauge-invariant when studied on the light-front. Thi s is in contrast to the instant-form theory which is gauge-noninvariant. We quan tize this theory on the light-front.
| 16.280762
| 14.54893
| 16.010754
| 14.310559
| 13.706293
| 15.247714
| 14.579487
| 14.257442
| 13.913578
| 17.456535
| 14.222589
| 14.46983
| 14.723558
| 14.181272
| 14.801067
| 14.827543
| 14.518922
| 14.776843
| 15.714334
| 15.126048
| 15.518627
|
hep-th/0409122
|
Neil Turok
|
Paul L. McFadden and Neil Turok
|
Conformal symmetry of brane world effective actions
|
5 pages, published version
|
Phys.Rev.D71:021901,2005
|
10.1103/PhysRevD.71.021901
|
DAMTP-2004-97
|
hep-th
| null |
A simple derivation of the low-energy effective action for brane worlds is
given, highlighting the role of conformal invariance. We show how to improve
the effective action for a positive- and negative-tension brane pair using the
AdS/CFT correspondence.
|
[
{
"created": "Mon, 13 Sep 2004 19:21:01 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2005 18:16:22 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"McFadden",
"Paul L.",
""
],
[
"Turok",
"Neil",
""
]
] |
A simple derivation of the low-energy effective action for brane worlds is given, highlighting the role of conformal invariance. We show how to improve the effective action for a positive- and negative-tension brane pair using the AdS/CFT correspondence.
| 9.427684
| 7.533002
| 7.965709
| 7.40002
| 8.070848
| 8.020953
| 7.185137
| 7.643954
| 6.766871
| 8.890315
| 7.340871
| 7.426532
| 8.103247
| 7.481078
| 7.601094
| 7.439623
| 7.651671
| 7.619589
| 7.503105
| 7.989892
| 7.539132
|
hep-th/9812099
|
Jim Wheeler
|
A. Wehner (Utah State University) and J.T. Wheeler (Utah State
University)
|
Conformal actions in any dimension
|
35 pages, now includes comparisons with other theories; one added
reference
|
Nucl.Phys. B557 (1999) 380-406
|
10.1016/S0550-3213(99)00367-3
|
USU-FTG-117
|
hep-th gr-qc
| null |
Biconformal gauging of the conformal group has a scale-invariant volume form,
permitting a single form of the action to be invariant in any dimension. We
display several 2n-dim scale-invariant polynomial actions and a dual action. We
solve the field equations for the most general action linear in the curvatures
for a minimal torsion geometry. In any dimension n>2, the solution is foliated
by equivalent n-dim Ricci-flat Riemannian spacetimes, and the full 2n-dim space
is symplectic. Two fields defined entirely on the Riemannian submanifolds
completely determine the solution: a metric, and a symmetric tensor.
|
[
{
"created": "Fri, 11 Dec 1998 20:33:52 GMT",
"version": "v1"
},
{
"created": "Tue, 4 May 1999 19:28:19 GMT",
"version": "v2"
},
{
"created": "Thu, 13 May 1999 02:57:54 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Wehner",
"A.",
"",
"Utah State University"
],
[
"Wheeler",
"J. T.",
"",
"Utah State\n University"
]
] |
Biconformal gauging of the conformal group has a scale-invariant volume form, permitting a single form of the action to be invariant in any dimension. We display several 2n-dim scale-invariant polynomial actions and a dual action. We solve the field equations for the most general action linear in the curvatures for a minimal torsion geometry. In any dimension n>2, the solution is foliated by equivalent n-dim Ricci-flat Riemannian spacetimes, and the full 2n-dim space is symplectic. Two fields defined entirely on the Riemannian submanifolds completely determine the solution: a metric, and a symmetric tensor.
| 13.300577
| 13.099039
| 13.298368
| 11.903894
| 12.504409
| 13.436713
| 13.608912
| 12.212893
| 12.827838
| 14.757456
| 12.616216
| 11.795175
| 12.079475
| 11.789943
| 11.762177
| 11.966199
| 12.255649
| 11.73771
| 12.328587
| 12.527705
| 12.291036
|
1309.4052
|
Antoine Van Proeyen
|
Sergio Ferrara, Renata Kallosh, Antoine Van Proeyen
|
On the Supersymmetric Completion of $R+R^2$ Gravity and Cosmology
|
11 pages; accepted for publication in JHEP; v2: typos corrected in
(3.17) and in discussion
| null |
10.1007/JHEP11(2013)134
|
CERN-PH-TH/2013-220
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit and clarify the supersymmetric versions of $R+ R^2$ gravity, in
view of the renewed interest to these models in cosmology. We emphasize that
the content of the dual standard supergravity theory in the old minimal
formulation necessarily includes two massive chiral multiplets, that we call
the inflaton and the goldstino. We point out that the presence of these
multiplets is model independent in the old minimal formulation and therefore
any theory that contains a single chiral multiplet fails to be a supersymmetric
generalization of the $R+R^2$ gravity. The supergravity interactions of the two
chiral multiplets are encoded in a superpotential mass term and an arbitrary
Kahler potential for the goldstino multiplet. The implication for cosmology of
the supersymmetric $R+R^2$ gravity is also discussed.
|
[
{
"created": "Mon, 16 Sep 2013 17:57:07 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Oct 2013 07:28:02 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
We revisit and clarify the supersymmetric versions of $R+ R^2$ gravity, in view of the renewed interest to these models in cosmology. We emphasize that the content of the dual standard supergravity theory in the old minimal formulation necessarily includes two massive chiral multiplets, that we call the inflaton and the goldstino. We point out that the presence of these multiplets is model independent in the old minimal formulation and therefore any theory that contains a single chiral multiplet fails to be a supersymmetric generalization of the $R+R^2$ gravity. The supergravity interactions of the two chiral multiplets are encoded in a superpotential mass term and an arbitrary Kahler potential for the goldstino multiplet. The implication for cosmology of the supersymmetric $R+R^2$ gravity is also discussed.
| 7.713273
| 7.417295
| 7.839871
| 6.812006
| 7.270879
| 7.465873
| 7.50457
| 7.075299
| 6.669582
| 7.376394
| 7.076931
| 7.294859
| 7.299422
| 6.874104
| 7.328058
| 7.175497
| 7.044304
| 7.329962
| 6.954727
| 7.261405
| 7.416579
|
1505.05886
|
Jacob Bourjaily
|
Jacob L. Bourjaily and Jaroslav Trnka
|
Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM
|
Corrections made including an important erratum: merging finite
integrands does not always result in finite integrals. Language modified to
reflect this fact, but implications are left to future work. 58 pages, 85
figures, and a Mathematica package (with a demonstration notebook)
| null |
10.1007/JHEP08(2015)119
|
CALT-TH-2015-026
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use generalized unitarity at the integrand-level to directly construct
local, manifestly dual-conformally invariant formulae for all two-loop
scattering amplitudes in planar, maximally supersymmetric Yang-Mills theory
(SYM). This representation separates contributions into manifestly finite and
divergent terms---in a way that makes manifest the exponentiation of infrared
divergences at the integrand-level. These results perfectly match the all-loop
BCFW recursion relations, to which we provide a closed-form solution valid
through two-loop-order. Finally, we describe and document a Mathematica package
which implements these results, available as part of this work's source files
on the arXiv.
|
[
{
"created": "Thu, 21 May 2015 20:00:34 GMT",
"version": "v1"
},
{
"created": "Thu, 18 May 2017 18:27:59 GMT",
"version": "v2"
}
] |
2017-05-22
|
[
[
"Bourjaily",
"Jacob L.",
""
],
[
"Trnka",
"Jaroslav",
""
]
] |
We use generalized unitarity at the integrand-level to directly construct local, manifestly dual-conformally invariant formulae for all two-loop scattering amplitudes in planar, maximally supersymmetric Yang-Mills theory (SYM). This representation separates contributions into manifestly finite and divergent terms---in a way that makes manifest the exponentiation of infrared divergences at the integrand-level. These results perfectly match the all-loop BCFW recursion relations, to which we provide a closed-form solution valid through two-loop-order. Finally, we describe and document a Mathematica package which implements these results, available as part of this work's source files on the arXiv.
| 8.530632
| 9.410131
| 9.944413
| 8.557521
| 8.65461
| 8.77763
| 8.460685
| 8.295198
| 8.37101
| 11.127349
| 8.654409
| 8.626333
| 9.051262
| 8.389528
| 8.301769
| 8.789018
| 8.480608
| 8.267624
| 8.438995
| 8.700062
| 8.619022
|
1201.3191
|
Paolo Benincasa
|
Paolo Benincasa
|
Exploration of the Tree-Level S-Matrix of Massless Particles
|
6 pages, 1 table, contribution to the proceeding of the XVII European
Workshop on String Theory
| null |
10.1002/prop.201200006
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent years, the BCFW construction provided a very powerful tool for
computing scattering amplitudes as well as it shed light on the perturbation
theory structure. In this talk, we discuss the long-standing issue of the
boundary term arising when the amplitudes do not vanish as some momenta are
taken to infinity along some complex direction. In particular, we provide a new
set of on-shell recursion relations valid for such theories and discuss its
consequences on our understanding on the perturbation theory structure of the
S-Matrix.
|
[
{
"created": "Mon, 16 Jan 2012 10:00:07 GMT",
"version": "v1"
}
] |
2016-01-20
|
[
[
"Benincasa",
"Paolo",
""
]
] |
In recent years, the BCFW construction provided a very powerful tool for computing scattering amplitudes as well as it shed light on the perturbation theory structure. In this talk, we discuss the long-standing issue of the boundary term arising when the amplitudes do not vanish as some momenta are taken to infinity along some complex direction. In particular, we provide a new set of on-shell recursion relations valid for such theories and discuss its consequences on our understanding on the perturbation theory structure of the S-Matrix.
| 10.480198
| 9.451634
| 10.226803
| 9.425722
| 9.987969
| 9.636011
| 10.129422
| 9.239979
| 8.619921
| 9.522554
| 9.342081
| 9.373981
| 9.383076
| 9.251572
| 9.114697
| 9.175342
| 8.627495
| 9.168451
| 9.316158
| 9.509694
| 9.727215
|
0708.3452
|
In Yong Park
|
I. Y. Park
|
Scattering on D3-branes
|
15 pages, minor typos corrected, version that will appear in PLB
|
Phys.Lett.B660:583-591,2008
|
10.1016/j.physletb.2007.11.101
| null |
hep-th
| null |
In a direct open string approach we analyze scattering of massless states on
a stack of D3-branes. First we construct vertex operators on the D-branes. The
4+6 splitting for the fermionic part is made possible by inserting
appropriately defined projection operators. With the vertex operators
constructed we compute various tree amplitudes. The results are then compared
with the corresponding field theory computations of the $\N=4$ SYM with
$\a'$-corrections: agreements are found. We comment on applications to AdS/CFT.
|
[
{
"created": "Sat, 25 Aug 2007 22:15:58 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jan 2008 19:25:02 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Park",
"I. Y.",
""
]
] |
In a direct open string approach we analyze scattering of massless states on a stack of D3-branes. First we construct vertex operators on the D-branes. The 4+6 splitting for the fermionic part is made possible by inserting appropriately defined projection operators. With the vertex operators constructed we compute various tree amplitudes. The results are then compared with the corresponding field theory computations of the $\N=4$ SYM with $\a'$-corrections: agreements are found. We comment on applications to AdS/CFT.
| 13.416741
| 11.192756
| 13.391865
| 11.287962
| 11.341878
| 12.693004
| 12.04816
| 11.672288
| 11.605722
| 14.172075
| 11.240655
| 11.722703
| 13.007917
| 12.195647
| 11.855843
| 12.081267
| 12.333423
| 11.916224
| 11.856031
| 12.875797
| 11.483658
|
hep-th/0703259
|
Igor Salom
|
Igor Salom
|
Extension of Conformal (Super)Symmetry using Heisenberg and Parabose
operators
| null | null | null | null |
hep-th
| null |
In this paper we investigate a particular possibility to extend C(1,3)
conformal symmetry using Heisenberg operators, and a related possibility to
extend conformal supersymmetry using parabose operators. The symmetry proposed
is of a simple mathematical form, as is the form of necessary symmetry breaking
that reduces it to the conformal (super)symmetry. It turns out that this
extension of conformal superalgebra can be obtained from standard non-extended
conformal superalgebra by allowing anticommutators $\{Q_\eta, Q_\xi\}$ and
$\{\bar Q_{\dot \eta}, \bar Q_{\dot \xi}\}$ to be nonzero operators and then by
closing the algebra. In regard of the famous Coleman and Mandula theorem (and
related Haag-Lopuszanski-Sohnius theorem), the higher symmetries that we
consider do not satisfy the requirement for finite number of particles with
masses below any given constant. However, we argue that in the context of
theories with broken symmetries, this constraint may be unnecessarily strong.
|
[
{
"created": "Wed, 28 Mar 2007 13:48:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Salom",
"Igor",
""
]
] |
In this paper we investigate a particular possibility to extend C(1,3) conformal symmetry using Heisenberg operators, and a related possibility to extend conformal supersymmetry using parabose operators. The symmetry proposed is of a simple mathematical form, as is the form of necessary symmetry breaking that reduces it to the conformal (super)symmetry. It turns out that this extension of conformal superalgebra can be obtained from standard non-extended conformal superalgebra by allowing anticommutators $\{Q_\eta, Q_\xi\}$ and $\{\bar Q_{\dot \eta}, \bar Q_{\dot \xi}\}$ to be nonzero operators and then by closing the algebra. In regard of the famous Coleman and Mandula theorem (and related Haag-Lopuszanski-Sohnius theorem), the higher symmetries that we consider do not satisfy the requirement for finite number of particles with masses below any given constant. However, we argue that in the context of theories with broken symmetries, this constraint may be unnecessarily strong.
| 9.719356
| 9.848242
| 10.416673
| 9.681247
| 10.800776
| 10.591935
| 9.924068
| 9.943649
| 9.815845
| 11.152472
| 9.762836
| 9.522198
| 9.593307
| 9.38339
| 9.200184
| 9.278327
| 9.456736
| 9.099045
| 9.272145
| 9.715262
| 9.133523
|
hep-th/9905051
|
Cesar D. Fosco
|
C.D. Fosco and F.A. Schaposnik
|
Making Sense of Singular Gauge Transformations in 1+1 and 2+1 Fermion
Models
|
14 pages, Latex
|
Phys.Lett. B477 (2000) 341-347
|
10.1016/S0370-2693(00)00179-9
| null |
hep-th
| null |
We study the problem of decoupling fermion fields in 1+1 and 2+1 dimensions,
in interaction with a gauge field, by performing local transformations of the
fermions in the functional integral. This could always be done if singular
(large) gauge transformations were allowed, since any gauge field configuration
may be represented as a singular pure gauge field. However, the effect of a
singular gauge transformation of the fermions is equivalent to the one of a
regular transformation with a non-trivial action on the spinorial indices. For
example, in the two dimensional case, singular gauge transformations lead
naturally to chiral transformations, and hence to the usual decoupling
mechanism based on Fujikawa Jacobians. In 2+1 dimensions, using the same
procedure, different transformations emerge, which also give rise to Fujikawa
Jacobians. We apply this idea to obtain the v.e.v of the fermionic current in a
background field, in terms of the Jacobian for an infinitesimal decoupling
transformation, finding the parity violating result.
|
[
{
"created": "Fri, 7 May 1999 12:05:18 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Fosco",
"C. D.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] |
We study the problem of decoupling fermion fields in 1+1 and 2+1 dimensions, in interaction with a gauge field, by performing local transformations of the fermions in the functional integral. This could always be done if singular (large) gauge transformations were allowed, since any gauge field configuration may be represented as a singular pure gauge field. However, the effect of a singular gauge transformation of the fermions is equivalent to the one of a regular transformation with a non-trivial action on the spinorial indices. For example, in the two dimensional case, singular gauge transformations lead naturally to chiral transformations, and hence to the usual decoupling mechanism based on Fujikawa Jacobians. In 2+1 dimensions, using the same procedure, different transformations emerge, which also give rise to Fujikawa Jacobians. We apply this idea to obtain the v.e.v of the fermionic current in a background field, in terms of the Jacobian for an infinitesimal decoupling transformation, finding the parity violating result.
| 9.437457
| 9.54975
| 10.346645
| 8.931275
| 10.12143
| 9.546894
| 8.997132
| 9.203928
| 9.588485
| 10.197466
| 9.210504
| 9.051077
| 9.499501
| 9.276884
| 8.960686
| 9.096659
| 9.262181
| 8.952095
| 9.145915
| 9.261841
| 9.390378
|
hep-th/9512108
|
Vipul Periwal
|
Vipul Periwal
|
Halpern-Huang directions in effective scalar field theory
|
6 pages, plain TeX
|
Mod.Phys.Lett. A11 (1996) 2915-2920
|
10.1142/S0217732396002885
|
PUPT-1567
|
hep-th
| null |
Halpern and Huang recently showed that there are relevant directions in the
space of interactions at the Gaussian fixed point. I show that their result can
be derived from Polchinski's form of the Wilson renormalization group. The
derivation shows that the existence of these directions is independent of the
cutoff function used.
|
[
{
"created": "Thu, 14 Dec 1995 18:51:54 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Periwal",
"Vipul",
""
]
] |
Halpern and Huang recently showed that there are relevant directions in the space of interactions at the Gaussian fixed point. I show that their result can be derived from Polchinski's form of the Wilson renormalization group. The derivation shows that the existence of these directions is independent of the cutoff function used.
| 13.858548
| 8.585306
| 10.929009
| 9.397349
| 10.317978
| 10.621629
| 9.112677
| 9.803467
| 8.696495
| 12.567575
| 12.725768
| 9.242442
| 10.163827
| 9.129543
| 9.438574
| 8.871581
| 9.592301
| 9.181679
| 9.250096
| 10.685343
| 11.869336
|
2207.08784
|
Jose Antonio Oller
|
J. A. Oller
|
Unitarizing non-relativistic Coulomb scattering
|
12 pages, 2 figures
| null |
10.1016/j.physletb.2022.137568
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We compare the exactly solvable nonrelativistic Coulomb scattering with two
recent unitarization methods for infinite-range forces. These methods require
to calculate perturbatively the corresponding partial-wave amplitudes, which
are then unitarized. We calculate the Coulomb partial-wave amplitudes up to the
one-loop order. On the one hand, the unitarization method developed by Refs.
[1, 2] reproduces properly the exact solution, with an accuracy improving as
the order in the perturbative calculation of the input perturbative
partial-wave amplitudes increases. This is also shown to be the case for the
pole position of the ground state. On the other hand, the method developed by
the more recent Ref. [3] gives rise to partial-wave amplitudes that do not
reproduce the known solvable solution, and gives rise to a pole position with
zero binding energy.
|
[
{
"created": "Mon, 18 Jul 2022 17:40:57 GMT",
"version": "v1"
}
] |
2022-11-16
|
[
[
"Oller",
"J. A.",
""
]
] |
We compare the exactly solvable nonrelativistic Coulomb scattering with two recent unitarization methods for infinite-range forces. These methods require to calculate perturbatively the corresponding partial-wave amplitudes, which are then unitarized. We calculate the Coulomb partial-wave amplitudes up to the one-loop order. On the one hand, the unitarization method developed by Refs. [1, 2] reproduces properly the exact solution, with an accuracy improving as the order in the perturbative calculation of the input perturbative partial-wave amplitudes increases. This is also shown to be the case for the pole position of the ground state. On the other hand, the method developed by the more recent Ref. [3] gives rise to partial-wave amplitudes that do not reproduce the known solvable solution, and gives rise to a pole position with zero binding energy.
| 7.337977
| 7.649455
| 6.781667
| 6.527098
| 7.620897
| 7.924067
| 7.161392
| 7.188688
| 7.133938
| 7.471188
| 7.119321
| 7.116927
| 6.786371
| 6.789321
| 6.778269
| 7.034646
| 6.98967
| 6.99423
| 6.592581
| 6.958366
| 6.714165
|
1601.04432
|
Rutger H. Boels
|
Rutger Boels, Bernd A. Kniehl, Gang Yang
|
Towards a four-loop form factor
|
9 Pages, Radcor/Loopfest 2015 Proceedings
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The four-loop, two-point form factor contains the first non-planar correction
to the lightlike cusp anomalous dimension. This anomalous dimension is a
universal function which appears in many applications. Its planar part in N = 4
SYM is known, in principle, exactly from AdS/CFT and integrability while its
non-planar part has been conjectured to vanish. The integrand of the form
factor of the stress-tensor multiplet in N = 4 SYM including the non-planar
part was obtained in previous work. We parametrise the difficulty of
integrating this integrand. We have obtained a basis of master integrals for
all integrals in the four-loop, two-point class in two ways. First, we computed
an IBP reduction of the integrand of the N = 4 form factor using massive
computer algebra (Reduze). Second, we computed a list of master integrals based
on methods of the Mint package, suitably extended using Macaulay2 / Singular.
The master integrals obtained in both ways are consistent with some minor
exceptions. The second method indicates that the master integrals apply beyond
N = 4 SYM, in particular to QCD. The numerical integration of several of the
master integrals will be reported and remaining obstacles will be outlined
|
[
{
"created": "Mon, 18 Jan 2016 09:11:33 GMT",
"version": "v1"
}
] |
2016-01-19
|
[
[
"Boels",
"Rutger",
""
],
[
"Kniehl",
"Bernd A.",
""
],
[
"Yang",
"Gang",
""
]
] |
The four-loop, two-point form factor contains the first non-planar correction to the lightlike cusp anomalous dimension. This anomalous dimension is a universal function which appears in many applications. Its planar part in N = 4 SYM is known, in principle, exactly from AdS/CFT and integrability while its non-planar part has been conjectured to vanish. The integrand of the form factor of the stress-tensor multiplet in N = 4 SYM including the non-planar part was obtained in previous work. We parametrise the difficulty of integrating this integrand. We have obtained a basis of master integrals for all integrals in the four-loop, two-point class in two ways. First, we computed an IBP reduction of the integrand of the N = 4 form factor using massive computer algebra (Reduze). Second, we computed a list of master integrals based on methods of the Mint package, suitably extended using Macaulay2 / Singular. The master integrals obtained in both ways are consistent with some minor exceptions. The second method indicates that the master integrals apply beyond N = 4 SYM, in particular to QCD. The numerical integration of several of the master integrals will be reported and remaining obstacles will be outlined
| 10.057718
| 10.246349
| 11.03995
| 9.950665
| 10.702345
| 10.992109
| 10.754403
| 10.698799
| 9.902055
| 11.414412
| 10.153155
| 9.799604
| 10.191543
| 9.92802
| 9.744329
| 10.01204
| 10.151626
| 10.191222
| 9.899074
| 10.51757
| 9.754761
|
hep-th/0310049
|
Giampiero Esposito Dr.
|
Giuseppe Bimonte, Enrico Calloni, Luciano Di Fiore, Giampiero
Esposito, Leopoldo Milano, Luigi Rosa
|
On the photon Green functions in curved space-time
|
22 pages, plain Tex. All sections and appendices have been improved
|
Class.Quant.Grav. 21 (2004) 647-659
|
10.1088/0264-9381/21/2/022
|
DSF 2003/27
|
hep-th gr-qc
| null |
Quantization of electrodynamics in curved space-time in the Lorenz gauge and
with arbitrary gauge parameter makes it necessary to study Green functions of
non-minimal operators with variable coefficients. Starting from the integral
representation of photon Green functions, we link them to the evaluation of
integrals involving Gamma functions. Eventually, the full asymptotic expansion
of the Feynman photon Green function at small values of the world function, as
well as its explicit dependence on the gauge parameter, are obtained without
adding by hand a mass term to the Faddeev--Popov Lagrangian. Coincidence limits
of second covariant derivatives of the associated Hadamard function are also
evaluated, as a first step towards the energy-momentum tensor in the
non-minimal case.
|
[
{
"created": "Mon, 6 Oct 2003 11:50:41 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2003 16:31:48 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Bimonte",
"Giuseppe",
""
],
[
"Calloni",
"Enrico",
""
],
[
"Di Fiore",
"Luciano",
""
],
[
"Esposito",
"Giampiero",
""
],
[
"Milano",
"Leopoldo",
""
],
[
"Rosa",
"Luigi",
""
]
] |
Quantization of electrodynamics in curved space-time in the Lorenz gauge and with arbitrary gauge parameter makes it necessary to study Green functions of non-minimal operators with variable coefficients. Starting from the integral representation of photon Green functions, we link them to the evaluation of integrals involving Gamma functions. Eventually, the full asymptotic expansion of the Feynman photon Green function at small values of the world function, as well as its explicit dependence on the gauge parameter, are obtained without adding by hand a mass term to the Faddeev--Popov Lagrangian. Coincidence limits of second covariant derivatives of the associated Hadamard function are also evaluated, as a first step towards the energy-momentum tensor in the non-minimal case.
| 10.77663
| 10.898767
| 10.22988
| 9.397094
| 11.126314
| 10.391054
| 11.193658
| 9.483062
| 9.848251
| 10.390476
| 9.8661
| 9.657794
| 9.559566
| 9.761256
| 9.668178
| 9.778862
| 9.86696
| 9.912533
| 9.895354
| 9.95079
| 9.741714
|
hep-th/9809033
|
Jose Fernandez Barbon
|
J. L. F. Barbon, I. I. Kogan and E. Rabinovici
|
On Stringy Thresholds in SYM/AdS Thermodynamics
|
49 pages, harvmac, seven Postscript figures
|
Nucl.Phys.B544:104-144,1999
|
10.1016/S0550-3213(98)00868-2
|
CERN-TH/98-206, OUTP-98-48P
|
hep-th
| null |
We consider aspects of the role of stringy scales and Hagedorn temperatures
in the correspondence between various field theories and AdS-type spaces. The
boundary theory is set on a toroidal world-volume to enable small scales to
appear in the supergravity backgrounds also for low field-theory temperatures.
We find that thermodynamical considerations tend to favour background manifolds
with no string-size characteristic scales. The gravitational dynamics censors
the reliable exposure of Hagedorn physics on the supergravity side, and the
system does not allow the study of the Hagedorn scale by low-temperature field
theories. These results are obtained following some heuristic assumptions on
the character of stringy modifications to the gravitational backgrounds. A rich
phenomenology appears on the supergravity side, with different string
backgrounds dominating in different regions, which should have field-theoretic
consequences. Six-dimensional world volumes turn out to be borderline cases
from several points of view. For lower dimensional world-volumes, a fully
holographic behaviour is exhibited to order 1/N^2, and open strings in their
presence are found to have a thermodynamical Hagedorn behaviour similar to that
of closed strings in flat space.
|
[
{
"created": "Fri, 4 Sep 1998 17:01:07 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Barbon",
"J. L. F.",
""
],
[
"Kogan",
"I. I.",
""
],
[
"Rabinovici",
"E.",
""
]
] |
We consider aspects of the role of stringy scales and Hagedorn temperatures in the correspondence between various field theories and AdS-type spaces. The boundary theory is set on a toroidal world-volume to enable small scales to appear in the supergravity backgrounds also for low field-theory temperatures. We find that thermodynamical considerations tend to favour background manifolds with no string-size characteristic scales. The gravitational dynamics censors the reliable exposure of Hagedorn physics on the supergravity side, and the system does not allow the study of the Hagedorn scale by low-temperature field theories. These results are obtained following some heuristic assumptions on the character of stringy modifications to the gravitational backgrounds. A rich phenomenology appears on the supergravity side, with different string backgrounds dominating in different regions, which should have field-theoretic consequences. Six-dimensional world volumes turn out to be borderline cases from several points of view. For lower dimensional world-volumes, a fully holographic behaviour is exhibited to order 1/N^2, and open strings in their presence are found to have a thermodynamical Hagedorn behaviour similar to that of closed strings in flat space.
| 18.38945
| 18.279507
| 20.481113
| 17.203413
| 18.068943
| 18.193201
| 17.574028
| 18.128944
| 17.897635
| 20.733311
| 17.767622
| 17.583542
| 18.839676
| 18.050018
| 18.077513
| 17.362682
| 18.019423
| 17.898714
| 17.949949
| 18.48484
| 17.198278
|
1502.05711
|
Marcel Vonk
|
Marcel Vonk
|
Resurgence and Topological Strings
|
11 pages, 7 figures. Pedestrian introduction to 1308.1695 and
1407.4821, based on my talk at String Math 2014. Submitted for the
proceedings of that conference
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The mathematical idea of resurgence allows one to obtain nonperturbative
information from the large-order behavior of perturbative expansions. This idea
can be very fruitful in physics applications, in particular if one does not
have access to such nonperturbative information from first principles. An
important example is topological string theory, which is a priori only defined
as an asymptotic perturbative expansion in the coupling constant g_s. We show
how the idea of resurgence can be combined with the holomorphic anomaly
equation to extend the perturbative definition of the topological string and
obtain, in a model-independent way, a large amount of information about its
nonperturbative structure.
|
[
{
"created": "Thu, 19 Feb 2015 21:00:12 GMT",
"version": "v1"
}
] |
2015-02-23
|
[
[
"Vonk",
"Marcel",
""
]
] |
The mathematical idea of resurgence allows one to obtain nonperturbative information from the large-order behavior of perturbative expansions. This idea can be very fruitful in physics applications, in particular if one does not have access to such nonperturbative information from first principles. An important example is topological string theory, which is a priori only defined as an asymptotic perturbative expansion in the coupling constant g_s. We show how the idea of resurgence can be combined with the holomorphic anomaly equation to extend the perturbative definition of the topological string and obtain, in a model-independent way, a large amount of information about its nonperturbative structure.
| 5.903815
| 5.362067
| 5.935016
| 5.395945
| 5.361597
| 5.764334
| 5.429826
| 5.570476
| 5.433282
| 5.770401
| 5.283359
| 5.441755
| 5.620842
| 5.317513
| 5.258988
| 5.289176
| 5.447265
| 5.572931
| 5.398759
| 5.59096
| 5.465454
|
hep-th/0406260
|
Jorge Pullin
|
Rodolfo Gambini, Rafael Porto, Jorge Pullin
|
Realistic clocks, universal decoherence and the black hole information
paradox
|
3 Pages, RevTex, no figures
|
Phys.Rev.Lett. 93 (2004) 240401
|
10.1103/PhysRevLett.93.240401
|
LSU-REL-062804
|
hep-th astro-ph gr-qc quant-ph
| null |
Ordinary quantum mechanics is formulated on the basis of the existence of an
ideal classical clock external to the system under study. This is clearly an
idealization. As emphasized originally by Salecker and Wigner and more recently
by other authors, there exist limits in nature to how ``classical'' even the
best possible clock can be. When one introduces realistic clocks, quantum
mechanics ceases to be unitary and a fundamental mechanism of decoherence of
quantum states arises. We estimate the rate of universal loss of unitarity
using optimal realistic clocks. In particular we observe that the rate is rapid
enough to eliminate the black hole information puzzle: all information is lost
through the fundamental decoherence before the black hole can evaporate. This
improves on a previous calculation we presented with a sub-optimal clock in
which only part of the information was lost by the time of evaporation.
|
[
{
"created": "Mon, 28 Jun 2004 22:50:01 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gambini",
"Rodolfo",
""
],
[
"Porto",
"Rafael",
""
],
[
"Pullin",
"Jorge",
""
]
] |
Ordinary quantum mechanics is formulated on the basis of the existence of an ideal classical clock external to the system under study. This is clearly an idealization. As emphasized originally by Salecker and Wigner and more recently by other authors, there exist limits in nature to how ``classical'' even the best possible clock can be. When one introduces realistic clocks, quantum mechanics ceases to be unitary and a fundamental mechanism of decoherence of quantum states arises. We estimate the rate of universal loss of unitarity using optimal realistic clocks. In particular we observe that the rate is rapid enough to eliminate the black hole information puzzle: all information is lost through the fundamental decoherence before the black hole can evaporate. This improves on a previous calculation we presented with a sub-optimal clock in which only part of the information was lost by the time of evaporation.
| 11.072943
| 13.281405
| 11.761984
| 10.782058
| 13.23957
| 12.269369
| 12.114141
| 11.838503
| 11.926222
| 11.690907
| 11.289762
| 11.053941
| 10.496902
| 10.492455
| 11.444929
| 10.631591
| 11.254626
| 10.401404
| 10.682043
| 10.42221
| 10.798443
|
1811.06623
|
Timoth\'e Poulain
|
Timoth\'e Poulain
|
On the quantum structure of spacetime and its relation to the quantum
theory of fields: $\kappa$-Poincar\'e invariant field theories and other
examples
|
Ph.D. Thesis, 151 pages
| null | null |
NNT : 2018SACLS331
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dissertation deals with noncommutative field theories, namely field
theories compatible with the existence of a minimal (quantum gravity) length
scale. Two families of quantum spacetime are considered. One is characterized
by semisimple Lie algebras of coordinates. The other is characterized by
solvable Lie algebras. The explicit construction of corresponding Weyl-like
star products is given. We then focus on two specific examples of quantum space
and study the quantum properties of various models of scalar field theory with
quartic interactions built on them. The corresponding 2-point and 4-point
functions are computed at one-loop and the UV/IR mixing is discussed. The first
quantum spacetime considered is known as $\mathbb{R}^3_\theta$ which is a
deformation of $\mathbb{R}^3$ with $\mathfrak{su}(2)$ noncommutativity. In this
case, the one-loop 2-point function is found to be finite with the deformation
parameter playing the role of a cutoff. The second quantum space is known as
$\kappa$-Minkowski. In this case, the action functional is required
$\kappa$-Poincar\'e invariant and various kinetic operators are considered. In
one case, we find that the one-loop 2-point function has milder UV divergence
than in the commutative case and that the one-loop 4-point function is finite.
The renormalization properties are discussed. Besides, the loss of cyclicity of
the Lebesgue integral (which results from the $\kappa$-Poincar\'e invariance of
the action functional) is interpreted as reflecting the occurrence of KMS
condition at the level of the algebra of fields modelling $\kappa$-Minkowski.
This interpretation sheds new light on $\kappa$-deformation-based quantum
gravity models, and solved a 25 years old problem in the study of
$\kappa$-Poincar\'e invariant quantum field theories. Possible extensions of
this work are finally discussed.
|
[
{
"created": "Thu, 15 Nov 2018 23:14:52 GMT",
"version": "v1"
}
] |
2018-11-19
|
[
[
"Poulain",
"Timothé",
""
]
] |
The dissertation deals with noncommutative field theories, namely field theories compatible with the existence of a minimal (quantum gravity) length scale. Two families of quantum spacetime are considered. One is characterized by semisimple Lie algebras of coordinates. The other is characterized by solvable Lie algebras. The explicit construction of corresponding Weyl-like star products is given. We then focus on two specific examples of quantum space and study the quantum properties of various models of scalar field theory with quartic interactions built on them. The corresponding 2-point and 4-point functions are computed at one-loop and the UV/IR mixing is discussed. The first quantum spacetime considered is known as $\mathbb{R}^3_\theta$ which is a deformation of $\mathbb{R}^3$ with $\mathfrak{su}(2)$ noncommutativity. In this case, the one-loop 2-point function is found to be finite with the deformation parameter playing the role of a cutoff. The second quantum space is known as $\kappa$-Minkowski. In this case, the action functional is required $\kappa$-Poincar\'e invariant and various kinetic operators are considered. In one case, we find that the one-loop 2-point function has milder UV divergence than in the commutative case and that the one-loop 4-point function is finite. The renormalization properties are discussed. Besides, the loss of cyclicity of the Lebesgue integral (which results from the $\kappa$-Poincar\'e invariance of the action functional) is interpreted as reflecting the occurrence of KMS condition at the level of the algebra of fields modelling $\kappa$-Minkowski. This interpretation sheds new light on $\kappa$-deformation-based quantum gravity models, and solved a 25 years old problem in the study of $\kappa$-Poincar\'e invariant quantum field theories. Possible extensions of this work are finally discussed.
| 6.145129
| 6.156099
| 6.417482
| 6.024958
| 6.563496
| 6.468627
| 6.245007
| 6.18149
| 5.828649
| 6.363234
| 5.8957
| 5.946329
| 6.146554
| 5.955781
| 5.92905
| 5.926404
| 5.779594
| 5.920695
| 6.009447
| 6.138509
| 5.987425
|
hep-th/0510011
|
Pawel Maslanka
|
Piotr Kosinski, Pawel Maslanka
|
Unitarity in the noncommutative theories
|
8 pages, no figures;some changes in the main text, and the list of
references modified
| null | null | null |
hep-th
| null |
Simple argument in favour of unitarity, to all orders, of space-like
noncommutative theory is given.
|
[
{
"created": "Mon, 3 Oct 2005 11:27:56 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Oct 2005 11:30:36 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Dec 2005 13:18:43 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Kosinski",
"Piotr",
""
],
[
"Maslanka",
"Pawel",
""
]
] |
Simple argument in favour of unitarity, to all orders, of space-like noncommutative theory is given.
| 63.582119
| 16.698765
| 31.738577
| 19.728508
| 19.269005
| 22.961647
| 26.316477
| 18.58651
| 18.49531
| 29.444176
| 24.206345
| 20.615334
| 23.577602
| 20.926151
| 22.174204
| 20.329384
| 23.167845
| 19.449272
| 22.118162
| 26.918648
| 21.695528
|
2007.16083
|
Adil Belhaj
|
A. Belhaj, A. El Balali, W. El Hadri, H. El Moumni, M. A. Essebani, M.
B. Sedra
|
On Phase Transition Behaviors of Kerr-Sen Black Hole
|
Latex, 17 pages, 4 figues, 1 table. Accepted for publication in
IJGMMP (2020)
| null |
10.1142/S0219887820501698
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate phase transitions and critical behaviors of the Kerr-Sen black
hole in four dimensions. Computing the involved thermodynamical quantities
including the specific heat and using the Ehrenfest scheme, we show that such a
black hole undergoes a second-order phase transition. Adopting a new metric
form derived from the Gibss free energy scaled by a conformal factor associated
with extremal solutions, we calculate the geothermodynamical scalar curvature
recovering similar phase transitions. Then, we obtain the scaling laws and the
critical exponents, matching perfectly with mean field theory.
|
[
{
"created": "Fri, 31 Jul 2020 14:02:44 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Belhaj",
"A.",
""
],
[
"Balali",
"A. El",
""
],
[
"Hadri",
"W. El",
""
],
[
"Moumni",
"H. El",
""
],
[
"Essebani",
"M. A.",
""
],
[
"Sedra",
"M. B.",
""
]
] |
We investigate phase transitions and critical behaviors of the Kerr-Sen black hole in four dimensions. Computing the involved thermodynamical quantities including the specific heat and using the Ehrenfest scheme, we show that such a black hole undergoes a second-order phase transition. Adopting a new metric form derived from the Gibss free energy scaled by a conformal factor associated with extremal solutions, we calculate the geothermodynamical scalar curvature recovering similar phase transitions. Then, we obtain the scaling laws and the critical exponents, matching perfectly with mean field theory.
| 15.249202
| 12.787277
| 13.180666
| 12.631882
| 14.974603
| 12.864005
| 13.246191
| 11.644337
| 14.298446
| 14.794173
| 15.090578
| 13.88539
| 13.903637
| 13.354993
| 14.427327
| 14.21979
| 13.989
| 13.201515
| 14.260397
| 13.569366
| 13.894457
|
2006.14038
|
Mario Martone
|
Mario Martone
|
The constraining power of Coulomb Branch Geometry: lectures on
Seiberg-Witten theory
|
This is the writeup of the lectures given at the Winter School "YRISW
2020" to appear in a special issue of JPhysA
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The constraining mathematical structure of the Coulomb branch of four
dimensional $\mathcal{N}=2$ supersymmetric theories is discussed. The
presentation follows a somewhat different route from other excellent reviews on
the subject and it is geared towards using this tool to classify four
dimensional $\mathcal{N}=2$ superconformal field theories. This is the writeup
of the lectures given at the Winter School "YRISW 2020" to appear in a special
issue of JPhysA.
|
[
{
"created": "Wed, 24 Jun 2020 20:47:29 GMT",
"version": "v1"
}
] |
2020-06-26
|
[
[
"Martone",
"Mario",
""
]
] |
The constraining mathematical structure of the Coulomb branch of four dimensional $\mathcal{N}=2$ supersymmetric theories is discussed. The presentation follows a somewhat different route from other excellent reviews on the subject and it is geared towards using this tool to classify four dimensional $\mathcal{N}=2$ superconformal field theories. This is the writeup of the lectures given at the Winter School "YRISW 2020" to appear in a special issue of JPhysA.
| 9.143162
| 4.805015
| 10.91254
| 5.065567
| 5.141775
| 5.012893
| 4.761312
| 5.152783
| 4.900369
| 10.06251
| 5.177532
| 6.610394
| 8.751092
| 6.925507
| 6.954206
| 6.731064
| 6.899311
| 6.766828
| 7.08827
| 8.781425
| 6.936345
|
2212.09416
|
Zoltan Bajnok
|
Zoltan Bajnok, Janos Balog, Istvan Vona
|
The full analytic trans-series in integrable field theories
|
13 pages
| null |
10.1016/j.physletb.2023.138075
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We analyze a family of generalized energy densities in integrable quantum
field theories in the presence of an external field coupled to a conserved
charge. By using the Wiener-Hopf technique to solve the linear thermodynamic
Bethe ansatz equations we derive the full analytic trans-series for these
observables in terms of a perturbatively defined basis. We show how to
calculate these basis elements to high orders analytically and reveal their
complete resurgence structure. We demonstrate that the physical value of the
generalized energy densities is obtained by the median resummation of their
ambiguity-free trans-series.
|
[
{
"created": "Mon, 19 Dec 2022 12:49:13 GMT",
"version": "v1"
}
] |
2023-08-09
|
[
[
"Bajnok",
"Zoltan",
""
],
[
"Balog",
"Janos",
""
],
[
"Vona",
"Istvan",
""
]
] |
We analyze a family of generalized energy densities in integrable quantum field theories in the presence of an external field coupled to a conserved charge. By using the Wiener-Hopf technique to solve the linear thermodynamic Bethe ansatz equations we derive the full analytic trans-series for these observables in terms of a perturbatively defined basis. We show how to calculate these basis elements to high orders analytically and reveal their complete resurgence structure. We demonstrate that the physical value of the generalized energy densities is obtained by the median resummation of their ambiguity-free trans-series.
| 12.507385
| 11.909548
| 12.683877
| 11.227418
| 11.989345
| 11.667775
| 12.289458
| 10.630412
| 10.825914
| 15.626703
| 11.65978
| 12.048024
| 12.423238
| 12.08027
| 12.07045
| 11.767608
| 11.896573
| 12.003895
| 12.070755
| 13.114388
| 11.695118
|
0905.3938
|
Mario Trigiante
|
L. Andrianopoli, R. D'Auria, E.Orazi and M. Trigiante
|
First Order Description of D=4 static Black Holes and the
Hamilton-Jacobi equation
|
A clarifying discussion on the existence of the prepotential and a
comment on multiple attractors are added; typos corrected, references added
|
Nucl.Phys.B833:1-16,2010
|
10.1016/j.nuclphysb.2010.02.020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we discuss the application of the Hamilton-Jacobi formalism to
the first order description of four dimensional spherically symmetric and
static black holes. In particular we show that the prepotential characterizing
the flow coincides with the Hamilton principal function associated with the
one-dimensional effective Lagrangian. This implies that the prepotential can
always be defined, at least locally in the radial variable and in the moduli
space, both in the extremal and non-extremal case and allows us to conclude
that it is duality invariant. We also give, in this framework, a general
definition of the ``Weinhold metric'' in terms of which a necessary condition
for the existence of multiple attractors is given. The Hamilton-Jacobi
formalism can be applied both to the restricted phase space where the
electromagnetic potentials have been integrated out as well as in the case
where the electromagnetic potentials are dualized to scalar fields using the
so-called three-dimensional Euclidean approach. We give some examples of
application of the formalism, both for the BPS and the non-BPS black holes.
|
[
{
"created": "Mon, 25 May 2009 16:45:24 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jun 2009 16:56:55 GMT",
"version": "v2"
}
] |
2010-05-19
|
[
[
"Andrianopoli",
"L.",
""
],
[
"D'Auria",
"R.",
""
],
[
"Orazi",
"E.",
""
],
[
"Trigiante",
"M.",
""
]
] |
In this note we discuss the application of the Hamilton-Jacobi formalism to the first order description of four dimensional spherically symmetric and static black holes. In particular we show that the prepotential characterizing the flow coincides with the Hamilton principal function associated with the one-dimensional effective Lagrangian. This implies that the prepotential can always be defined, at least locally in the radial variable and in the moduli space, both in the extremal and non-extremal case and allows us to conclude that it is duality invariant. We also give, in this framework, a general definition of the ``Weinhold metric'' in terms of which a necessary condition for the existence of multiple attractors is given. The Hamilton-Jacobi formalism can be applied both to the restricted phase space where the electromagnetic potentials have been integrated out as well as in the case where the electromagnetic potentials are dualized to scalar fields using the so-called three-dimensional Euclidean approach. We give some examples of application of the formalism, both for the BPS and the non-BPS black holes.
| 8.200693
| 7.397298
| 8.413078
| 7.192875
| 7.438498
| 8.229838
| 8.006167
| 7.167985
| 7.295452
| 8.78788
| 7.266691
| 7.262719
| 7.72745
| 7.311842
| 7.29792
| 7.303109
| 7.274031
| 7.250504
| 7.287265
| 7.705413
| 7.348547
|
hep-th/9903147
|
Christian Ekstrand
|
C. Ekstrand
|
A Simple Algebraic Derivation of the Covariant Anomaly and Schwinger
Term
|
16 pages
|
J.Math.Phys. 41 (2000) 7294-7303
|
10.1063/1.1285018
| null |
hep-th
| null |
An expression for the curvature of the "covariant" determinant line bundle is
given in even dimensional space-time. The usefulness is guaranteed by its
prediction of the covariant anomaly and Schwinger term. It allows a parallel
derivation of the consistent anomaly and Schwinger term, and their covariant
counterparts, which clarifies the similarities and differences between them. In
particular, it becomes clear that in contrary to the case for anomalies, the
difference between the consistent and covariant Schwinger term can not be
extended to a local form on the space of gauge potentials.
|
[
{
"created": "Wed, 17 Mar 1999 12:32:26 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ekstrand",
"C.",
""
]
] |
An expression for the curvature of the "covariant" determinant line bundle is given in even dimensional space-time. The usefulness is guaranteed by its prediction of the covariant anomaly and Schwinger term. It allows a parallel derivation of the consistent anomaly and Schwinger term, and their covariant counterparts, which clarifies the similarities and differences between them. In particular, it becomes clear that in contrary to the case for anomalies, the difference between the consistent and covariant Schwinger term can not be extended to a local form on the space of gauge potentials.
| 14.584753
| 12.675829
| 14.761336
| 12.900638
| 12.80744
| 11.735186
| 11.546356
| 11.857429
| 11.600183
| 14.387282
| 12.493988
| 13.528146
| 13.682879
| 13.413936
| 12.937073
| 13.307968
| 12.503214
| 12.635122
| 12.644636
| 13.675456
| 12.612748
|
1201.0025
|
Petr Dunin-Barkowski
|
Petr Dunin-Barkowski, Alexey Sleptsov, Andrey Smirnov
|
Explicit computation of Drinfeld associator in the case of the
fundamental representation of gl(N)
|
14 pages, 2 figures; several flaws indicated by referees corrected
|
J. Phys. A: Math. Theor. 45 385204 (2012)
|
10.1088/1751-8113/45/38/385204
|
ITEP/TH-64/11
|
hep-th math.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We solve the regularized Knizhnik-Zamolodchikov equation and find an explicit
expression for the Drinfeld associator. We restrict to the case of the
fundamental representation of $gl(N)$. Several tests of the results are
presented. It can be explicitly seen that components of this solution for the
associator coincide with certain components of WZW conformal block for primary
fields. We introduce the symmetrized version of the Drinfeld associator by
dropping the odd terms. The symmetrized associator gives the same knot
invariants, but has a simpler structure and is fully characterized by one
symmetric function which we call the Drinfeld prepotential.
|
[
{
"created": "Thu, 29 Dec 2011 21:32:11 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jan 2012 21:50:41 GMT",
"version": "v2"
},
{
"created": "Sat, 1 Sep 2012 09:36:02 GMT",
"version": "v3"
}
] |
2012-09-04
|
[
[
"Dunin-Barkowski",
"Petr",
""
],
[
"Sleptsov",
"Alexey",
""
],
[
"Smirnov",
"Andrey",
""
]
] |
We solve the regularized Knizhnik-Zamolodchikov equation and find an explicit expression for the Drinfeld associator. We restrict to the case of the fundamental representation of $gl(N)$. Several tests of the results are presented. It can be explicitly seen that components of this solution for the associator coincide with certain components of WZW conformal block for primary fields. We introduce the symmetrized version of the Drinfeld associator by dropping the odd terms. The symmetrized associator gives the same knot invariants, but has a simpler structure and is fully characterized by one symmetric function which we call the Drinfeld prepotential.
| 10.558821
| 10.064905
| 11.052307
| 9.367793
| 9.658986
| 10.328028
| 10.13656
| 9.43872
| 9.953543
| 11.296219
| 9.871166
| 9.262166
| 9.849068
| 9.59889
| 9.413191
| 9.713638
| 9.476615
| 9.391045
| 9.783916
| 10.233915
| 9.449738
|
hep-th/9304156
| null |
Jonathan Underwood
|
Aspects of Non-Abelian Toda Theories
|
29 pages, Imperial/TP/92-93/30
| null | null | null |
hep-th
| null |
We present a definition of the non-abelian generalisations of affine Toda
theory related from the outset to vertex operator constructions of the
corresponding Kac-Moody algebra $\gh$. Reuslts concerning conjugacy classes of
the Weyl group of the finite Lie algebra $\fing$ to embeddings of $A_1$ in
$\fing$ are used both to present the theories, and to elucidate their soliton
spectrum. We confirm the conjecture of \cite{OSU93} for the soliton
specialisation of the Leznov-Saveliev solution. The energy-momentum tensor of
such theories is shown to split into a total derivative part and a part
dependent only on the free fields which appear in the general solution, and
vanish for the soliton solutions. Analogues are provided of the results known
for the classical solitons of abelian Toda theories.
|
[
{
"created": "Fri, 30 Apr 1993 13:28:29 GMT",
"version": "v1"
},
{
"created": "Fri, 7 May 1993 12:11:31 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Underwood",
"Jonathan",
""
]
] |
We present a definition of the non-abelian generalisations of affine Toda theory related from the outset to vertex operator constructions of the corresponding Kac-Moody algebra $\gh$. Reuslts concerning conjugacy classes of the Weyl group of the finite Lie algebra $\fing$ to embeddings of $A_1$ in $\fing$ are used both to present the theories, and to elucidate their soliton spectrum. We confirm the conjecture of \cite{OSU93} for the soliton specialisation of the Leznov-Saveliev solution. The energy-momentum tensor of such theories is shown to split into a total derivative part and a part dependent only on the free fields which appear in the general solution, and vanish for the soliton solutions. Analogues are provided of the results known for the classical solitons of abelian Toda theories.
| 13.470021
| 12.942342
| 15.222093
| 12.995364
| 13.466218
| 13.205025
| 13.876927
| 13.012025
| 13.278461
| 15.693803
| 12.441547
| 12.757852
| 13.512153
| 12.433194
| 12.908858
| 12.716281
| 12.660591
| 12.493813
| 12.619627
| 14.014167
| 12.149277
|
hep-th/9802149
|
Aaron K. Grant
|
Oded Kenneth and Shmuel Nussinov
|
A New Variant of the Casimir Effect and Its Exact Evaluation
|
10 pages, latex, one figure
| null | null | null |
hep-th
| null |
A new version of the Casimir effect where the two plates conduct in specific,
different, directions is considered. By direct functional integration the
evaluation of the Casimir energy as a function of the angle between the
conduction directions is reduced to quadratures. Other applications of the
method and a magnetic Casimir variant are mentioned.
|
[
{
"created": "Fri, 20 Feb 1998 22:04:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kenneth",
"Oded",
""
],
[
"Nussinov",
"Shmuel",
""
]
] |
A new version of the Casimir effect where the two plates conduct in specific, different, directions is considered. By direct functional integration the evaluation of the Casimir energy as a function of the angle between the conduction directions is reduced to quadratures. Other applications of the method and a magnetic Casimir variant are mentioned.
| 18.354399
| 15.663502
| 17.392874
| 16.698284
| 14.743757
| 13.941036
| 16.474897
| 15.218449
| 15.667482
| 20.22225
| 16.441431
| 15.371099
| 16.955013
| 16.256105
| 16.897203
| 16.882084
| 15.954301
| 15.413605
| 16.27841
| 17.580114
| 15.667005
|
1401.2207
|
Chan Y. Park
|
Chan Y. Park
|
2d SCFT from M-branes and its spectral network
|
10 pages, 26 figures, contribution to the Proceedings of String-Math
2013; v2: minor changes, version to appear in the proceedings
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the low-energy limit of the two-dimensional theory on multiple
M2-branes suspended between a flat M5-brane and a curved M5-brane. We argue
that it is described by an $\mathcal{N}=(2,2)$ supersymmetric Landau-Ginzburg
model with the superpotential determined by the shape of the curved M5-branes,
which flows in the low-energy limit to a Kazama-Suzuki coset model. We provide
evidence by studying ground states and BPS spectra of the systems.
|
[
{
"created": "Thu, 9 Jan 2014 23:48:48 GMT",
"version": "v1"
},
{
"created": "Mon, 5 May 2014 07:25:18 GMT",
"version": "v2"
}
] |
2014-05-06
|
[
[
"Park",
"Chan Y.",
""
]
] |
We consider the low-energy limit of the two-dimensional theory on multiple M2-branes suspended between a flat M5-brane and a curved M5-brane. We argue that it is described by an $\mathcal{N}=(2,2)$ supersymmetric Landau-Ginzburg model with the superpotential determined by the shape of the curved M5-branes, which flows in the low-energy limit to a Kazama-Suzuki coset model. We provide evidence by studying ground states and BPS spectra of the systems.
| 6.19231
| 4.41851
| 6.72446
| 5.115742
| 4.727708
| 4.884669
| 4.658381
| 4.810091
| 4.689395
| 7.250981
| 4.611928
| 5.491864
| 6.432477
| 5.625005
| 5.357171
| 5.322867
| 5.517371
| 5.338402
| 5.493383
| 6.512878
| 5.411399
|
hep-th/0011191
|
Arkady Tseytlin
|
R.R. Metsaev and A.A. Tseytlin
|
Superparticle and superstring in AdS_3 x S^3 Ramond-Ramond background in
light-cone gauge
|
32 pages, latex
|
J.Math.Phys.42:2987-3014,2001
|
10.1063/1.1377274
|
FIAN/TD/00-18, OHSTPY-HEP-T-00-029
|
hep-th
| null |
We discuss superparticle and superstring dynamics in AdS_3 x S^3 supported by
R-R 3-form background using light-cone gauge approach. Starting with the
superalgebra psu(1,1|2) + psu(1,1|2) representing the basic symmetry of this
background we find the light-cone superparticle Hamiltonian. We determine the
harmonic decomposition of light-cone superfield describing fluctuations of type
IIB supergravity fields expanded near AdS_3 x S^3 background and compute the
corresponding Kaluza-Klein spectrum. We fix the fermionic and bosonic
light-cone gauges in the covariant Green-Schwarz AdS_3 x S^3 superstring action
and find the light-cone string Hamiltonian. We also obtain a realization of the
generators of psu(1,1|2) + psu(1,1|2) in terms of the superstring 2-d fields in
the light-cone gauge.
|
[
{
"created": "Tue, 21 Nov 2000 18:10:29 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Metsaev",
"R. R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We discuss superparticle and superstring dynamics in AdS_3 x S^3 supported by R-R 3-form background using light-cone gauge approach. Starting with the superalgebra psu(1,1|2) + psu(1,1|2) representing the basic symmetry of this background we find the light-cone superparticle Hamiltonian. We determine the harmonic decomposition of light-cone superfield describing fluctuations of type IIB supergravity fields expanded near AdS_3 x S^3 background and compute the corresponding Kaluza-Klein spectrum. We fix the fermionic and bosonic light-cone gauges in the covariant Green-Schwarz AdS_3 x S^3 superstring action and find the light-cone string Hamiltonian. We also obtain a realization of the generators of psu(1,1|2) + psu(1,1|2) in terms of the superstring 2-d fields in the light-cone gauge.
| 5.150018
| 4.578875
| 6.422149
| 4.488326
| 4.805368
| 4.630433
| 4.812109
| 4.527994
| 4.698438
| 6.220102
| 4.855862
| 4.827998
| 5.563522
| 4.928541
| 4.876906
| 4.82607
| 4.832877
| 4.797698
| 4.958024
| 5.693007
| 4.906167
|
hep-th/0003200
|
Marco Matone
|
G. Bertoldi, J.M. Isidro, M. Matone and P. Pasti
|
The Concept of a Noncommutative Riemann Surface
|
1+16 pages, LaTeX
|
Phys.Lett. B484 (2000) 323-332
|
10.1016/S0370-2693(00)00648-1
| null |
hep-th math.AG
| null |
We consider the compactification M(atrix) theory on a Riemann surface Sigma
of genus g>1. A natural generalization of the case of the torus leads to
construct a projective unitary representation of pi_1(\Sigma), realized on the
Hilbert space of square integrable functions on the upper half--plane. A
uniquely determined gauge connection, which in turn defines a gauged sl_2(R)
algebra, provides the central extension. This has a geometric interpretation as
the gauge length of a geodesic triangle, and corresponds to a 2-cocycle of the
2nd Hochschild cohomology group of the Fuchsian group uniformizing Sigma. Our
construction can be seen as a suitable double-scaling limit N\to\infty,
k\to-\infty of a U(N) representation of pi_1(Sigma), where k is the degree of
the associated holomorphic vector bundle, which can be seen as the higher-genus
analog of 't Hooft's clock and shift matrices of QCD. We compare the above
mentioned uniqueness of the connection with the one considered in the
differential-geometric approach to the Narasimhan-Seshadri theorem provided by
Donaldson. We then use our infinite dimensional representation to construct a
C^\star-algebra which can be interpreted as a noncommutative Riemann surface
Sigma_\theta. Finally, we comment on the extension to higher genus of the
concept of Morita equivalence.
|
[
{
"created": "Wed, 22 Mar 2000 17:23:52 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bertoldi",
"G.",
""
],
[
"Isidro",
"J. M.",
""
],
[
"Matone",
"M.",
""
],
[
"Pasti",
"P.",
""
]
] |
We consider the compactification M(atrix) theory on a Riemann surface Sigma of genus g>1. A natural generalization of the case of the torus leads to construct a projective unitary representation of pi_1(\Sigma), realized on the Hilbert space of square integrable functions on the upper half--plane. A uniquely determined gauge connection, which in turn defines a gauged sl_2(R) algebra, provides the central extension. This has a geometric interpretation as the gauge length of a geodesic triangle, and corresponds to a 2-cocycle of the 2nd Hochschild cohomology group of the Fuchsian group uniformizing Sigma. Our construction can be seen as a suitable double-scaling limit N\to\infty, k\to-\infty of a U(N) representation of pi_1(Sigma), where k is the degree of the associated holomorphic vector bundle, which can be seen as the higher-genus analog of 't Hooft's clock and shift matrices of QCD. We compare the above mentioned uniqueness of the connection with the one considered in the differential-geometric approach to the Narasimhan-Seshadri theorem provided by Donaldson. We then use our infinite dimensional representation to construct a C^\star-algebra which can be interpreted as a noncommutative Riemann surface Sigma_\theta. Finally, we comment on the extension to higher genus of the concept of Morita equivalence.
| 9.285335
| 9.417734
| 9.888963
| 8.669092
| 9.978339
| 9.765644
| 10.21664
| 9.179409
| 9.119679
| 10.550176
| 9.274896
| 9.001071
| 9.084338
| 8.939793
| 8.849577
| 8.800607
| 8.971791
| 8.979588
| 8.904759
| 9.200025
| 8.719606
|
2304.02024
|
Yu. M. Poluektov
|
Yu.M. Poluektov
|
Does a massless Goldstone boson exist?
|
20 pages, 4 figures
| null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Classical and quantum complex nonlinear scalar fields are considered. A new
approach to the quantization of nonlinear fields and the construction of a
perturbation theory with allowance for spontaneous symmetry breaking is
proposed, based on the use of the relativistic model of a self-consistent field
as the main approximation. The concept of a particle is analyzed within the
frame-work of the theory of nonlinear quantum fields. When constructing
single-particle states, the contribution of vacuum fluctuations is
systematically taken into account. Within the framework of the developed
approach, the problem of the existence of massless scalar particles is
discussed. It is shown that successive consideration of the vacuum averages of
not only one field operator, but also the products of two field operators,
leads to the appearance of masses for scalar particles. Various states in which
the field can exist for given parameters entering into the Lagrangian are
considered, and the vacuum energy densities in these states are calculated. It
is shown that, depending on the values of the parameters entering into the
Lagrangian, the vacuum energy density can be either positive or negative, which
is important for modern cosmology.
|
[
{
"created": "Tue, 4 Apr 2023 12:33:23 GMT",
"version": "v1"
}
] |
2023-04-06
|
[
[
"Poluektov",
"Yu. M.",
""
]
] |
Classical and quantum complex nonlinear scalar fields are considered. A new approach to the quantization of nonlinear fields and the construction of a perturbation theory with allowance for spontaneous symmetry breaking is proposed, based on the use of the relativistic model of a self-consistent field as the main approximation. The concept of a particle is analyzed within the frame-work of the theory of nonlinear quantum fields. When constructing single-particle states, the contribution of vacuum fluctuations is systematically taken into account. Within the framework of the developed approach, the problem of the existence of massless scalar particles is discussed. It is shown that successive consideration of the vacuum averages of not only one field operator, but also the products of two field operators, leads to the appearance of masses for scalar particles. Various states in which the field can exist for given parameters entering into the Lagrangian are considered, and the vacuum energy densities in these states are calculated. It is shown that, depending on the values of the parameters entering into the Lagrangian, the vacuum energy density can be either positive or negative, which is important for modern cosmology.
| 7.163863
| 7.523869
| 6.891005
| 6.784303
| 7.65765
| 7.492557
| 7.452887
| 7.071442
| 6.991344
| 7.610531
| 7.04427
| 6.878788
| 7.096991
| 6.734251
| 6.977785
| 6.944416
| 6.820573
| 6.928597
| 6.793381
| 6.952823
| 6.923339
|
hep-th/9405191
| null |
A. de Rujula
|
Effects of Virtual Monopoles
|
21 pages + 5 PS figures (7273fg1 thru 7273fg5 available via anonymous
ftp to /archive/electronic/cern/9405 on darssrv1.cern.ch) requires PHYZZX
macro, CERN-TH.7273/94
|
Nucl.Phys.B435:257-276,1995
|
10.1016/0550-3213(94)00436-I
| null |
hep-th
| null |
Electromagnetism would be a ``more unified'' theory if there were elementary
magnetic monopoles and/or particles with both electric and magnetic charges
(dyons). I discuss the simplest possibilities for the addition of these
entities onto the Standard Model, and their empirical consequences. Lower
limits on the masses of monopoles and dyons stemming from their quantum effects
on current observables turn out to be much stronger than the existing limits
from direct searches. Anomalies in the three-photon decay of the $Z$ constitute
good specific signatures for monopoles or dyons. $T$-odd observables in the
$e^+e^-\!\rightarrow\! W^+W^-$ process are signatures for dyons, but they are
severely constrained by existing data. The subjects of monopolium, monopole
cosmology and non-elementary monopoles are also discussed.
|
[
{
"created": "Tue, 31 May 1994 10:22:45 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"de Rujula",
"A.",
""
]
] |
Electromagnetism would be a ``more unified'' theory if there were elementary magnetic monopoles and/or particles with both electric and magnetic charges (dyons). I discuss the simplest possibilities for the addition of these entities onto the Standard Model, and their empirical consequences. Lower limits on the masses of monopoles and dyons stemming from their quantum effects on current observables turn out to be much stronger than the existing limits from direct searches. Anomalies in the three-photon decay of the $Z$ constitute good specific signatures for monopoles or dyons. $T$-odd observables in the $e^+e^-\!\rightarrow\! W^+W^-$ process are signatures for dyons, but they are severely constrained by existing data. The subjects of monopolium, monopole cosmology and non-elementary monopoles are also discussed.
| 9.164553
| 10.459192
| 9.283996
| 9.021161
| 9.697605
| 10.448884
| 10.745304
| 10.47399
| 9.25833
| 10.049769
| 9.610349
| 9.190711
| 9.607297
| 9.321945
| 9.648528
| 9.362581
| 9.41414
| 9.369211
| 9.258129
| 9.111877
| 9.235449
|
0912.2719
|
Sachin Jain
|
Sachin Jain
|
Universal properties of thermal and electrical conductivity of gauge
theory plasmas from holography
|
13 pages, appendix added, close to journal version
|
JHEP 1006:023,2010
|
10.1007/JHEP06(2010)023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose that for conformal field theories admitting gravity duals, the
thermal conductivity is fixed by the central charges in a universal manner.
Though we do not have a proof as yet, we have checked our proposal against
several examples. This proposal, if correct, allows us to express electrical
conductivity in terms of thermodynamical quantities even in the presence of
chemical potential.
|
[
{
"created": "Mon, 14 Dec 2009 20:05:56 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Apr 2010 20:12:45 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jun 2010 14:09:41 GMT",
"version": "v3"
}
] |
2014-11-20
|
[
[
"Jain",
"Sachin",
""
]
] |
We propose that for conformal field theories admitting gravity duals, the thermal conductivity is fixed by the central charges in a universal manner. Though we do not have a proof as yet, we have checked our proposal against several examples. This proposal, if correct, allows us to express electrical conductivity in terms of thermodynamical quantities even in the presence of chemical potential.
| 10.412292
| 8.66227
| 10.031057
| 8.031966
| 8.234989
| 8.012925
| 7.587409
| 8.481346
| 8.329601
| 11.183308
| 7.653997
| 8.409738
| 9.374846
| 8.542797
| 8.842536
| 8.60923
| 8.844371
| 9.069738
| 8.320755
| 9.256876
| 8.819498
|
hep-th/9407116
|
Mei Fang Chu
|
Meifang Chu and Peter Goddard
|
Quantisation of a particle moving on a group manifold
|
DAMTP-94-41, 11 pages
|
Phys.Lett. B337 (1994) 285-293
|
10.1016/0370-2693(94)90977-6
| null |
hep-th
| null |
The Hilbert space of a free massless particle moving on a group manifold is
studied in details using canonical quantisation. While the simplest model is
invariant under a global symmetry, $G \times G$, there is a very natural way to
``factorise" the theory so that only one copy of the global symmetry is
preserved. In the case of $G=SU(2)$, a simple deformation of the quantised
theory is proposed to give a realisation of the quantum group, $U_t(SL(2))$.
The symplectic structures of the corresponding classical theory is derived.
This can be used, in principle, to obtain a Lagrangian formulation for the
$U_t(SL(2))$ symmetry.
|
[
{
"created": "Tue, 19 Jul 1994 20:31:24 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Chu",
"Meifang",
""
],
[
"Goddard",
"Peter",
""
]
] |
The Hilbert space of a free massless particle moving on a group manifold is studied in details using canonical quantisation. While the simplest model is invariant under a global symmetry, $G \times G$, there is a very natural way to ``factorise" the theory so that only one copy of the global symmetry is preserved. In the case of $G=SU(2)$, a simple deformation of the quantised theory is proposed to give a realisation of the quantum group, $U_t(SL(2))$. The symplectic structures of the corresponding classical theory is derived. This can be used, in principle, to obtain a Lagrangian formulation for the $U_t(SL(2))$ symmetry.
| 9.272678
| 8.234832
| 9.264135
| 7.484076
| 8.090813
| 7.647461
| 8.21749
| 7.559898
| 7.786788
| 9.461916
| 7.84889
| 8.014205
| 8.225029
| 7.851801
| 8.166382
| 7.898215
| 7.969024
| 7.944584
| 8.020715
| 8.328293
| 7.888871
|
2205.06216
|
Andrea E. V. Ferrari
|
Andrea E. V. Ferrari
|
Supersymmetric ground states of 3d $\mathcal{N}=4$ SUSY gauge theories
and Heisenberg Algebras
|
Scipost version. Minor notational change in the appendix, typos
corrected
|
SciPost Phys. 14, 063 (2023)
|
10.21468/SciPostPhys.14.4.063
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We consider 3d $\mathcal{N} = 4$ theories on the geometry
$\Sigma\times\mathbb{R}$, where $\Sigma$ is a closed and connected Riemann
surface, from the point of view of a quantum mechanics on $\mathbb{R}$.
Focussing on the elementary mirror pair in the presence of real deformation
parameters, namely SQED with one hypermultiplet (SQED[1]) and the free
hypermulitplet, we study the algebras of local operators in the respective
quantum mechanics as well as their action on the vector space of supersymmetric
ground states. We demonstrate that the algebras can be described in terms of
Heisenberg algebras, and that they act in a way reminiscent of Segal-Bargmann
(B-twist of the free hypermultiplet) and Nakajima (A-twist of SQED[1])
operators.
|
[
{
"created": "Thu, 12 May 2022 17:01:21 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Nov 2022 21:25:15 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Apr 2023 16:18:54 GMT",
"version": "v3"
}
] |
2023-04-24
|
[
[
"Ferrari",
"Andrea E. V.",
""
]
] |
We consider 3d $\mathcal{N} = 4$ theories on the geometry $\Sigma\times\mathbb{R}$, where $\Sigma$ is a closed and connected Riemann surface, from the point of view of a quantum mechanics on $\mathbb{R}$. Focussing on the elementary mirror pair in the presence of real deformation parameters, namely SQED with one hypermultiplet (SQED[1]) and the free hypermulitplet, we study the algebras of local operators in the respective quantum mechanics as well as their action on the vector space of supersymmetric ground states. We demonstrate that the algebras can be described in terms of Heisenberg algebras, and that they act in a way reminiscent of Segal-Bargmann (B-twist of the free hypermultiplet) and Nakajima (A-twist of SQED[1]) operators.
| 6.595922
| 6.411694
| 7.704327
| 5.873668
| 6.799424
| 6.684272
| 6.70401
| 6.534807
| 5.944773
| 8.376178
| 6.043576
| 6.007131
| 6.67328
| 6.09776
| 6.102141
| 6.12564
| 6.027966
| 5.933901
| 5.989446
| 6.694571
| 6.011611
|
hep-th/9603127
|
Dan Kabat
|
Daniel Kabat and Philippe Pouliot
|
A Comment on Zero-brane Quantum Mechanics
|
9 pages, harvmac, improved treatment of 2+1 problem
|
Phys.Rev.Lett.77:1004-1007,1996
|
10.1103/PhysRevLett.77.1004
|
RU--96--17
|
hep-th
| null |
We consider low energy, non-relativistic scattering of two Dirichlet
zero-branes as an exercise in quantum mechanics. For weak string coupling and
sufficiently small velocity, the dynamics is governed by an effective U(2)
gauge theory in 0+1 dimensions. At low energies, D-brane scattering can
reliably probe distances much shorter than the string scale. The only length
scale in the quantum mechanics problem is the eleven dimensional Planck length.
This provides evidence for the role of scales shorter than the string length in
the weakly coupled dynamics of type IIA strings.
|
[
{
"created": "Tue, 19 Mar 1996 03:38:42 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Apr 1996 06:06:43 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Kabat",
"Daniel",
""
],
[
"Pouliot",
"Philippe",
""
]
] |
We consider low energy, non-relativistic scattering of two Dirichlet zero-branes as an exercise in quantum mechanics. For weak string coupling and sufficiently small velocity, the dynamics is governed by an effective U(2) gauge theory in 0+1 dimensions. At low energies, D-brane scattering can reliably probe distances much shorter than the string scale. The only length scale in the quantum mechanics problem is the eleven dimensional Planck length. This provides evidence for the role of scales shorter than the string length in the weakly coupled dynamics of type IIA strings.
| 12.050986
| 9.982406
| 12.672997
| 9.38301
| 10.021328
| 10.773809
| 10.128951
| 10.358796
| 9.221397
| 13.263056
| 10.246027
| 10.07778
| 11.712908
| 9.97601
| 10.040525
| 9.643029
| 9.910769
| 10.178679
| 9.933021
| 11.846453
| 10.282195
|
hep-th/9301012
|
Ronald Rietman
|
Bernard Nienhuis and Ronald Rietman
|
A Solvable Model for Intersecting Loops
|
9 pages LaTex, uses epsf.sty
| null | null |
ITFA-92-35
|
hep-th
| null |
We show that some models with non-local (and non-localizable) interactions
have a property, called quasi-locality, which allows for the definition of a
transfer matrix. We give the Yang-Baxter equation as a sufficient condition for
the existence of a family of commuting transfer matrices and solve them for a
loop model with intersections. This solvable model is then analyzed in some
detail and its applications to a Lorentz gas are briefly discussed.
|
[
{
"created": "Tue, 5 Jan 1993 14:43:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nienhuis",
"Bernard",
""
],
[
"Rietman",
"Ronald",
""
]
] |
We show that some models with non-local (and non-localizable) interactions have a property, called quasi-locality, which allows for the definition of a transfer matrix. We give the Yang-Baxter equation as a sufficient condition for the existence of a family of commuting transfer matrices and solve them for a loop model with intersections. This solvable model is then analyzed in some detail and its applications to a Lorentz gas are briefly discussed.
| 13.380583
| 12.266164
| 14.048273
| 12.475702
| 13.120062
| 12.702531
| 14.307527
| 11.916471
| 12.836861
| 16.047907
| 13.093559
| 13.084516
| 12.813536
| 13.36552
| 13.109509
| 12.881327
| 12.811676
| 12.861564
| 13.02594
| 13.184564
| 12.785501
|
hep-th/9301125
|
Swapna Mahapatra
|
Swapna Mahapatra
|
On the Rotating Charged Black String Solution
|
12 pages, IMSC-93/6,(Phyzzx macro), January 1993
|
Phys.Rev. D50 (1994) 947-951
|
10.1103/PhysRevD.50.947
| null |
hep-th
| null |
A rotating charged black string solution in the low energy effective field
theory describing five dimensional heterotic string theory is constructed. The
solution is labelled by mass, electric charge, axion charge and angular
momentum per unit length. The extremal limit of this solution is also studied.
|
[
{
"created": "Wed, 27 Jan 1993 14:53:56 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Mahapatra",
"Swapna",
""
]
] |
A rotating charged black string solution in the low energy effective field theory describing five dimensional heterotic string theory is constructed. The solution is labelled by mass, electric charge, axion charge and angular momentum per unit length. The extremal limit of this solution is also studied.
| 8.942971
| 5.552451
| 5.662625
| 4.799966
| 5.114993
| 4.704647
| 5.249468
| 4.678905
| 5.301166
| 5.422654
| 5.026325
| 5.889258
| 6.238789
| 5.864136
| 6.200943
| 5.64482
| 5.420903
| 5.364449
| 5.850591
| 5.735715
| 5.498799
|
hep-th/0101096
|
Chris Pope
|
M. Cvetic, G.W. Gibbons, H. Lu and C.N. Pope
|
Supersymmetric Non-singular Fractional D2-branes and NS-NS 2-branes
|
Latex, 30 pages
|
Nucl.Phys.B606:18-44,2001
|
10.1016/S0550-3213(01)00236-X
| null |
hep-th
| null |
We obtain regular deformed D2-brane solutions with fractional D2-branes
arising as wrapped D4-branes. The space transverse to the D2-brane is a
complete Ricci-flat 7-manifold of G_2 holonomy, which is asymptotically conical
with principal orbits that are topologically CP^3 or the flag manifold
SU(3)/(U(1) x U(1)). We obtain the solution by first constructing an L^2
normalisable harmonic 3-form. We also review a previously-obtained regular
deformed D2-brane whose transverse space is a different 7-manifold of G_2
holonomy, with principal orbits that are topologically S^3 x S^3. This
describes D2-branes with fractional NS-NS 2-branes coming from the wrapping of
5-branes, which is supported by a non-normalisable harmonic 3-form on the
7-manifold. We prove that both types of solutions are supersymmetric,
preserving 1/16 of the maximal supersymmetry and hence that they are dual to
{\cal N}=1 three-dimensional gauge theories. In each case, the spectrum for
minimally-coupled scalars is discrete, indicating confinement in the infrared
region of the dual gauge theories. We examine resolutions of other branes, and
obtain necessary conditions for their regularity. The resolution of many of
these seems to lie beyond supergravity. In the process of studying these
questions, we construct new explicit examples of complete Ricci-flat metrics.
|
[
{
"created": "Tue, 16 Jan 2001 23:49:09 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Cvetic",
"M.",
""
],
[
"Gibbons",
"G. W.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] |
We obtain regular deformed D2-brane solutions with fractional D2-branes arising as wrapped D4-branes. The space transverse to the D2-brane is a complete Ricci-flat 7-manifold of G_2 holonomy, which is asymptotically conical with principal orbits that are topologically CP^3 or the flag manifold SU(3)/(U(1) x U(1)). We obtain the solution by first constructing an L^2 normalisable harmonic 3-form. We also review a previously-obtained regular deformed D2-brane whose transverse space is a different 7-manifold of G_2 holonomy, with principal orbits that are topologically S^3 x S^3. This describes D2-branes with fractional NS-NS 2-branes coming from the wrapping of 5-branes, which is supported by a non-normalisable harmonic 3-form on the 7-manifold. We prove that both types of solutions are supersymmetric, preserving 1/16 of the maximal supersymmetry and hence that they are dual to {\cal N}=1 three-dimensional gauge theories. In each case, the spectrum for minimally-coupled scalars is discrete, indicating confinement in the infrared region of the dual gauge theories. We examine resolutions of other branes, and obtain necessary conditions for their regularity. The resolution of many of these seems to lie beyond supergravity. In the process of studying these questions, we construct new explicit examples of complete Ricci-flat metrics.
| 6.724449
| 6.69341
| 7.842448
| 6.488231
| 6.765607
| 6.691131
| 7.102005
| 6.612422
| 6.445272
| 8.313547
| 6.43633
| 6.499493
| 7.042634
| 6.521861
| 6.589962
| 6.684499
| 6.689288
| 6.432817
| 6.644369
| 7.036771
| 6.504465
|
1205.5180
|
Lincoln D. Carr
|
Allan Adams, Lincoln D. Carr, Thomas Schaefer, Peter Steinberg, and
John E. Thomas
|
Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum
Chromodynamic Plasmas, and Holographic Duality
|
138 pages, 25 figures, review associated with New Journal of Physics
special issue "Focus on Strongly Correlated Quantum Fluids: from Ultracold
Quantum Gases to QCD Plasmas"
(http://iopscience.iop.org/1367-2630/focus/Focus%20on%20Strongly%20Correlated%20Quantum%20Fluids%20-%20from%20Ultracold%20Quantum%20Gases%20to%20QCD%20Plasmas)
|
New J. Phys. v. 14, p. 115009 (2012)
|
10.1088/1367-2630/14/11/115009
| null |
hep-th cond-mat.quant-gas nucl-ex nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Strongly correlated quantum fluids are phases of matter that are
intrinsically quantum mechanical, and that do not have a simple description in
terms of weakly interacting quasi-particles. Two systems that have recently
attracted a great deal of interest are the quark-gluon plasma, a plasma of
strongly interacting quarks and gluons produced in relativistic heavy ion
collisions, and ultracold atomic Fermi gases, very dilute clouds of atomic
gases confined in optical or magnetic traps. These systems differ by more than
20 orders of magnitude in temperature, but they were shown to exhibit very
similar hydrodynamic flow. In particular, both fluids exhibit a robustly low
shear viscosity to entropy density ratio which is characteristic of quantum
fluids described by holographic duality, a mapping from strongly correlated
quantum field theories to weakly curved higher dimensional classical gravity.
This review explores the connection between these fields, and it also serves as
an introduction to the Focus Issue of New Journal of Physics on Strongly
Correlated Quantum Fluids: from Ultracold Quantum Gases to QCD Plasmas. The
presentation is made accessible to the general physics reader and includes
discussions of the latest research developments in all three areas.
|
[
{
"created": "Wed, 23 May 2012 14:14:33 GMT",
"version": "v1"
}
] |
2015-03-20
|
[
[
"Adams",
"Allan",
""
],
[
"Carr",
"Lincoln D.",
""
],
[
"Schaefer",
"Thomas",
""
],
[
"Steinberg",
"Peter",
""
],
[
"Thomas",
"John E.",
""
]
] |
Strongly correlated quantum fluids are phases of matter that are intrinsically quantum mechanical, and that do not have a simple description in terms of weakly interacting quasi-particles. Two systems that have recently attracted a great deal of interest are the quark-gluon plasma, a plasma of strongly interacting quarks and gluons produced in relativistic heavy ion collisions, and ultracold atomic Fermi gases, very dilute clouds of atomic gases confined in optical or magnetic traps. These systems differ by more than 20 orders of magnitude in temperature, but they were shown to exhibit very similar hydrodynamic flow. In particular, both fluids exhibit a robustly low shear viscosity to entropy density ratio which is characteristic of quantum fluids described by holographic duality, a mapping from strongly correlated quantum field theories to weakly curved higher dimensional classical gravity. This review explores the connection between these fields, and it also serves as an introduction to the Focus Issue of New Journal of Physics on Strongly Correlated Quantum Fluids: from Ultracold Quantum Gases to QCD Plasmas. The presentation is made accessible to the general physics reader and includes discussions of the latest research developments in all three areas.
| 6.230834
| 7.09609
| 6.899934
| 6.346388
| 7.23796
| 7.104826
| 7.742249
| 6.529827
| 6.441714
| 7.056578
| 6.636753
| 6.039637
| 5.959813
| 5.903184
| 6.038798
| 6.112017
| 6.100418
| 5.803335
| 6.196549
| 6.150819
| 6.214928
|
2407.17133
|
Oliver Schnetz
|
Oliver Schnetz, Simon Theil
|
Notes on graphical functions with numerator structure
|
11 pages, 1 figure
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In these notes we generalize the theory of graphical functions from scalar
theories to theories with spin.
|
[
{
"created": "Wed, 24 Jul 2024 10:09:42 GMT",
"version": "v1"
}
] |
2024-07-25
|
[
[
"Schnetz",
"Oliver",
""
],
[
"Theil",
"Simon",
""
]
] |
In these notes we generalize the theory of graphical functions from scalar theories to theories with spin.
| 41.299049
| 18.397751
| 31.903635
| 16.956129
| 19.57143
| 16.323381
| 15.991968
| 16.300444
| 15.51332
| 24.628134
| 23.017946
| 21.758171
| 20.823055
| 19.969473
| 20.046827
| 21.641245
| 19.429853
| 19.517519
| 18.821497
| 21.865356
| 24.448957
|
hep-th/9512081
| null |
A.A. Tseytlin
|
Heterotic - type I superstring duality and low-energy effective actions
|
16 pages, harvmac
|
Nucl.Phys.B467:383-398,1996
|
10.1016/0550-3213(96)00080-6
|
Imperial/TP/95-96/16
|
hep-th
| null |
We compare order $R^4$ terms in the 10-dimensional effective actions of
SO(32) heterotic and type I superstrings from the point of view of duality
between the two theories. Some of these terms do not receive higher-loop
corrections being related by supersymmetry to `anomaly-cancelling' terms which
depend on the antisymmetric 2-tensor. At the same time, the consistency of
duality relation implies that the `tree-level' $R^4$ super-invariant (the one
which has $\zeta(3)$-coefficient in the sphere part of the action) should
appear also at higher orders of loop expansion, i.e. should be multiplied by a
non-trivial function of the dilaton.
|
[
{
"created": "Mon, 11 Dec 1995 22:37:13 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Tseytlin",
"A. A.",
""
]
] |
We compare order $R^4$ terms in the 10-dimensional effective actions of SO(32) heterotic and type I superstrings from the point of view of duality between the two theories. Some of these terms do not receive higher-loop corrections being related by supersymmetry to `anomaly-cancelling' terms which depend on the antisymmetric 2-tensor. At the same time, the consistency of duality relation implies that the `tree-level' $R^4$ super-invariant (the one which has $\zeta(3)$-coefficient in the sphere part of the action) should appear also at higher orders of loop expansion, i.e. should be multiplied by a non-trivial function of the dilaton.
| 9.332109
| 9.127522
| 10.305875
| 8.424491
| 8.312542
| 8.611654
| 8.972951
| 7.750443
| 8.532519
| 10.522448
| 7.975669
| 8.216383
| 9.012565
| 8.348854
| 8.275218
| 8.30321
| 8.072062
| 8.221372
| 8.215927
| 8.956886
| 8.138254
|
2002.12746
|
Andrei Mironov
|
H. Awata, H. Kanno, A. Mironov, A. Morozov
|
Shiraishi functor and non-Kerov deformation of Macdonald polynomials
|
17 pages
|
Eur. Phys. J. C80 (2020) 994
|
10.1140/epjc/s10052-020-08540-4
|
FIAN/TD-02/20; IITP/TH-02/20; ITEP/TH-02/20; MIPT/TH-02/20
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We suggest a further generalization of the hypergeometric-like series due to
M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly
arbitrary function. Moreover, this generalization is valid for the entire
Shiraishi series, not only for its Noumi-Shiraishi part. The theta function
needed in the recently suggested description of the double-elliptic systems, 6d
N=2* SYM instanton calculus and the doubly-compactified network models, is a
very particular member of this huge family. The series depends on two kinds of
variables, $\vec x$ and $\vec y$, and on a set of parameters, which becomes
infinitely large now. Still, one of the parameters, $p$ is distinguished by its
role in the series grading. When $\vec y$ are restricted to a discrete subset
labeled by Young diagrams, the series multiplied by a monomial factor reduces
to a polynomial at any given order in $p$. All this makes the map from
functions to the hypergeometric-like series very promising, and we call it
Shiraishi functor despite it remains to be seen, what are exactly the morphisms
that it preserves. Generalized Noumi-Shiraishi (GNS) symmetric polynomials
inspired by the Shiraishi functor in the leading order in $p$ can be obtained
by a triangular transform from the Schur polynomials and possess an interesting
grading. They provide a family of deformations of Macdonald polynomials, as
rich as the family of Kerov functions, still very different from them, and, in
fact, much closer to the Macdonald polynomials. In particular, unlike the Kerov
case, these polynomials do not depend on the ordering of Young diagrams in the
triangular expansion.
|
[
{
"created": "Fri, 28 Feb 2020 14:36:56 GMT",
"version": "v1"
}
] |
2020-11-03
|
[
[
"Awata",
"H.",
""
],
[
"Kanno",
"H.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function. Moreover, this generalization is valid for the entire Shiraishi series, not only for its Noumi-Shiraishi part. The theta function needed in the recently suggested description of the double-elliptic systems, 6d N=2* SYM instanton calculus and the doubly-compactified network models, is a very particular member of this huge family. The series depends on two kinds of variables, $\vec x$ and $\vec y$, and on a set of parameters, which becomes infinitely large now. Still, one of the parameters, $p$ is distinguished by its role in the series grading. When $\vec y$ are restricted to a discrete subset labeled by Young diagrams, the series multiplied by a monomial factor reduces to a polynomial at any given order in $p$. All this makes the map from functions to the hypergeometric-like series very promising, and we call it Shiraishi functor despite it remains to be seen, what are exactly the morphisms that it preserves. Generalized Noumi-Shiraishi (GNS) symmetric polynomials inspired by the Shiraishi functor in the leading order in $p$ can be obtained by a triangular transform from the Schur polynomials and possess an interesting grading. They provide a family of deformations of Macdonald polynomials, as rich as the family of Kerov functions, still very different from them, and, in fact, much closer to the Macdonald polynomials. In particular, unlike the Kerov case, these polynomials do not depend on the ordering of Young diagrams in the triangular expansion.
| 12.900382
| 14.410548
| 15.148456
| 13.144743
| 14.276225
| 13.851119
| 13.663205
| 13.942082
| 13.269964
| 15.843649
| 13.042425
| 12.803471
| 13.404623
| 12.67358
| 13.05402
| 12.655422
| 12.677579
| 12.437367
| 12.866282
| 13.438328
| 12.324114
|
1211.2397
|
Paulo Assis
|
P. E. G. Assis
|
A(2|1) spectral equivalences and nonlocal integrals of motion
| null | null |
10.1088/1751-8113/46/19/195204
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the spectral correspondence between a particular class of
Schrodinger equations and supersymmetric quantum integrable model (QIM). The
latter, a quantized version of the Ablowitz-Kaupp-Newell-Segur (AKNS) hierarchy
of nonlinear equations, corresponds to the thermodynamic limit of the
Perk-Schultz lattice model. By analyzing the symmetries of the ordinary
differential equation (ODE) in the complex plane, it is possible to obtain
important objects in the quantum integrable model in exact form, under an exact
spectral correspondence. In this manuscript our main interest lies on the set
of nonlocal conserved inte- grals of motion associated to the integrable system
and we provide a systematic method to compute their values evaluated on the
vacuum state of the quantum field theory.
|
[
{
"created": "Sun, 11 Nov 2012 11:23:27 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Nov 2012 17:19:57 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Assis",
"P. E. G.",
""
]
] |
We study the spectral correspondence between a particular class of Schrodinger equations and supersymmetric quantum integrable model (QIM). The latter, a quantized version of the Ablowitz-Kaupp-Newell-Segur (AKNS) hierarchy of nonlinear equations, corresponds to the thermodynamic limit of the Perk-Schultz lattice model. By analyzing the symmetries of the ordinary differential equation (ODE) in the complex plane, it is possible to obtain important objects in the quantum integrable model in exact form, under an exact spectral correspondence. In this manuscript our main interest lies on the set of nonlocal conserved inte- grals of motion associated to the integrable system and we provide a systematic method to compute their values evaluated on the vacuum state of the quantum field theory.
| 10.573749
| 11.702206
| 13.647191
| 10.386788
| 11.143485
| 10.905614
| 11.733766
| 10.161448
| 10.999878
| 12.000801
| 10.236832
| 10.743654
| 11.37529
| 10.349277
| 10.485659
| 10.634792
| 10.358544
| 10.522158
| 10.478069
| 11.491088
| 10.481219
|
2002.09933
|
Pietro Menotti
|
Pietro Menotti
|
Real analyticity of accessory parameters
|
24 pages LaTex
| null | null |
IFUP-TH/2020
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the problem of the real analytic dependence of the accessory
parameters of Liouville theory on the moduli of the problem, for general
elliptic singularities. We give a simplified proof of the almost everywhere
real analyticity in the case of a single accessory parameter as it occurs e.g.
in the sphere topology with four sources or for the torus topology with a
single source by using only the general analyticity properties of the solution
of the auxiliary equation. We deal then the case of two accessory parameters.
We use the obtained result for a single accessory parameter to derive rigorous
properties of the projection of the problem on lower dimensional planes. We
derive the real analyticity result for two accessory parameters under an
assumption of irreducibility.
|
[
{
"created": "Sun, 23 Feb 2020 16:22:01 GMT",
"version": "v1"
}
] |
2020-02-27
|
[
[
"Menotti",
"Pietro",
""
]
] |
We consider the problem of the real analytic dependence of the accessory parameters of Liouville theory on the moduli of the problem, for general elliptic singularities. We give a simplified proof of the almost everywhere real analyticity in the case of a single accessory parameter as it occurs e.g. in the sphere topology with four sources or for the torus topology with a single source by using only the general analyticity properties of the solution of the auxiliary equation. We deal then the case of two accessory parameters. We use the obtained result for a single accessory parameter to derive rigorous properties of the projection of the problem on lower dimensional planes. We derive the real analyticity result for two accessory parameters under an assumption of irreducibility.
| 12.605765
| 12.517787
| 13.120405
| 12.12209
| 12.229523
| 13.506642
| 12.257715
| 13.260363
| 11.411571
| 16.169174
| 12.245625
| 12.190473
| 12.992045
| 12.204801
| 12.278886
| 12.218832
| 12.481617
| 12.02611
| 12.100864
| 12.787396
| 11.989913
|
1810.08093
|
Jes\'us Montero
|
Yolanda Lozano, Niall T. Macpherson, Jes\'us Montero
|
$AdS_6$ T-duals and Type IIB $AdS_6\times S^2$ Geometries with 7-Branes
|
36 pages plus appendices. 3 figures. v2: reference added. v3: section
5 improved, version accepted in JHEP
| null |
10.1007/JHEP01(2019)116
|
FPAUO-18/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the first $AdS_6$ backgrounds in Type IIB supergravity known in
the literature, namely those constructed via T-duality from the Brandhuber-Oz
solution to massive IIA, fit within an extension of the global $AdS_6 \times
S^2$ solutions with 7-branes warped over a Riemann surface $\Sigma$, recently
classified by D'Hoker, Gutperle and Uhlemann, that describes delocalised
5-branes and 7-branes. The solution constructed through Abelian T-duality
provides an explicit example of a Riemann surface with the topology of an
annulus, that includes D7/O7-branes. In turn, the solution generated through
non-Abelian T-duality arises from the upper half-plane.
|
[
{
"created": "Thu, 18 Oct 2018 14:58:42 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Oct 2018 18:46:25 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jan 2019 16:19:01 GMT",
"version": "v3"
}
] |
2019-02-20
|
[
[
"Lozano",
"Yolanda",
""
],
[
"Macpherson",
"Niall T.",
""
],
[
"Montero",
"Jesús",
""
]
] |
We show that the first $AdS_6$ backgrounds in Type IIB supergravity known in the literature, namely those constructed via T-duality from the Brandhuber-Oz solution to massive IIA, fit within an extension of the global $AdS_6 \times S^2$ solutions with 7-branes warped over a Riemann surface $\Sigma$, recently classified by D'Hoker, Gutperle and Uhlemann, that describes delocalised 5-branes and 7-branes. The solution constructed through Abelian T-duality provides an explicit example of a Riemann surface with the topology of an annulus, that includes D7/O7-branes. In turn, the solution generated through non-Abelian T-duality arises from the upper half-plane.
| 8.103395
| 7.327909
| 11.098537
| 7.411755
| 8.026258
| 7.392355
| 7.606114
| 7.794716
| 7.726982
| 11.877007
| 7.602147
| 7.192848
| 8.169838
| 7.844411
| 7.594794
| 7.576529
| 7.450187
| 7.68459
| 7.81931
| 8.755692
| 7.532372
|
1707.03866
|
Grigory Tarnopolsky
|
Simone Giombi, Igor R. Klebanov, Grigory Tarnopolsky
|
Bosonic Tensor Models at Large $N$ and Small $\epsilon$
|
20 pages, 3 figures, v2: minor corrections, references added
|
Phys. Rev. D 96, 106014 (2017)
|
10.1103/PhysRevD.96.106014
|
PUPT-2528
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the spectrum of the large $N$ quantum field theory of bosonic
rank-$3$ tensors, whose quartic interactions are such that the perturbative
expansion is dominated by the melonic diagrams. We use the Schwinger-Dyson
equations to determine the scaling dimensions of the bilinear operators of
arbitrary spin. Using the fact that the theory is renormalizable in $d=4$, we
compare some of these results with the $4-\epsilon$ expansion, finding perfect
agreement. This helps elucidate why the dimension of operator
$\phi^{abc}\phi^{abc}$ is complex for $d<4$: the large $N$ fixed point in
$d=4-\epsilon$ has complex values of the couplings for some of the $O(N)^3$
invariant operators. We show that a similar phenomenon holds in the $O(N)^2$
symmetric theory of a matrix field $\phi^{ab}$, where the double-trace operator
has a complex coupling in $4-\epsilon$ dimensions. We also study the spectra of
bosonic theories of rank $q-1$ tensors with $\phi^q$ interactions. In
dimensions $d>1.93$ there is a critical value of $q$, above which we have not
found any complex scaling dimensions. The critical value is a decreasing
function of $d$, and it becomes $6$ in $d\approx 2.97$. This raises a
possibility that the large $N$ theory of rank-$5$ tensors with sextic potential
has an IR fixed point which is free of perturbative instabilities for
$2.97<d<3$. This theory may be studied using renormalized perturbation theory
in $d=3-\epsilon$.
|
[
{
"created": "Wed, 12 Jul 2017 18:52:48 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Aug 2017 20:05:40 GMT",
"version": "v2"
}
] |
2017-11-29
|
[
[
"Giombi",
"Simone",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Tarnopolsky",
"Grigory",
""
]
] |
We study the spectrum of the large $N$ quantum field theory of bosonic rank-$3$ tensors, whose quartic interactions are such that the perturbative expansion is dominated by the melonic diagrams. We use the Schwinger-Dyson equations to determine the scaling dimensions of the bilinear operators of arbitrary spin. Using the fact that the theory is renormalizable in $d=4$, we compare some of these results with the $4-\epsilon$ expansion, finding perfect agreement. This helps elucidate why the dimension of operator $\phi^{abc}\phi^{abc}$ is complex for $d<4$: the large $N$ fixed point in $d=4-\epsilon$ has complex values of the couplings for some of the $O(N)^3$ invariant operators. We show that a similar phenomenon holds in the $O(N)^2$ symmetric theory of a matrix field $\phi^{ab}$, where the double-trace operator has a complex coupling in $4-\epsilon$ dimensions. We also study the spectra of bosonic theories of rank $q-1$ tensors with $\phi^q$ interactions. In dimensions $d>1.93$ there is a critical value of $q$, above which we have not found any complex scaling dimensions. The critical value is a decreasing function of $d$, and it becomes $6$ in $d\approx 2.97$. This raises a possibility that the large $N$ theory of rank-$5$ tensors with sextic potential has an IR fixed point which is free of perturbative instabilities for $2.97<d<3$. This theory may be studied using renormalized perturbation theory in $d=3-\epsilon$.
| 6.191509
| 5.950027
| 6.372463
| 6.037509
| 6.234812
| 6.190096
| 5.902526
| 5.962941
| 5.941525
| 7.234027
| 5.910282
| 6.016801
| 6.33962
| 6.031888
| 6.104857
| 6.082935
| 5.829628
| 6.095346
| 6.024751
| 6.119151
| 6.067176
|
hep-th/9212154
|
Masafumi Fukuma
|
M.Fukuma, S.Hosono and H.Kawai
|
Lattice Topological Field Theory in Two Dimensions
|
29 pages (Latex) + 19 figures (uuencoded through uufiles)
|
Commun. Math. Phys. 161 (1994) 157-176
|
10.1007/BF02099416
|
CLNS92/1173
|
hep-th
| null |
The lattice definition of a two-dimensional topological field theory (TFT) is
given generically, and the exact solution is obtained explicitly. In
particular, the set of all lattice topological field theories is shown to be in
one-to-one correspondence with the set of all associative algebras $R$, and the
physical Hilbert space is identified with the center $Z(R)$ of the associative
algebra $R$. Perturbations of TFT's are also considered in this approach,
showing that the form of topological perturbations is automatically determined,
and that all TFT's are obtained from one TFT by such perturbations. Several
examples are presented, including twisted $N=2$ minimal topological matter and
the case where $R$ is a group ring.
|
[
{
"created": "Mon, 28 Dec 1992 21:47:10 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Fukuma",
"M.",
""
],
[
"Hosono",
"S.",
""
],
[
"Kawai",
"H.",
""
]
] |
The lattice definition of a two-dimensional topological field theory (TFT) is given generically, and the exact solution is obtained explicitly. In particular, the set of all lattice topological field theories is shown to be in one-to-one correspondence with the set of all associative algebras $R$, and the physical Hilbert space is identified with the center $Z(R)$ of the associative algebra $R$. Perturbations of TFT's are also considered in this approach, showing that the form of topological perturbations is automatically determined, and that all TFT's are obtained from one TFT by such perturbations. Several examples are presented, including twisted $N=2$ minimal topological matter and the case where $R$ is a group ring.
| 7.554527
| 6.808568
| 8.274435
| 6.6408
| 7.31773
| 6.625761
| 6.912858
| 6.857293
| 6.842888
| 8.033862
| 6.584182
| 6.56393
| 7.251905
| 6.534339
| 6.69062
| 6.674593
| 6.71401
| 6.47638
| 6.725823
| 7.084501
| 6.568179
|
1209.0791
|
Zoltan Bajnok
|
Zoltan Bajnok and Romuald A. Janik
|
Six and seven loop Konishi from Luscher corrections
|
18 pages, typos corrected
| null |
10.1007/JHEP11(2012)002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present paper we derive six and seven loop formulas for the anomalous
dimension of the Konishi operator in N=4 SYM from string theory using the
technique of Luscher corrections. We derive analytically the integrand using
the worldsheet S-matrix and evaluate the resulting integral and infinite sum
using a combination of high precision numerical integration and asymptotic
expansion. We use this high precision numerical result to fit the integer
coefficients of zeta values in the final analytical answer. The presented six
and seven loop results can be used as a cross-check with FiNLIE on the string
theory side, or with direct gauge theory computations. The seven loop level is
the theoretical limit of this Luscher approach as at eight loops
double-wrapping corrections will appear.
|
[
{
"created": "Tue, 4 Sep 2012 20:18:04 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2012 11:48:44 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Bajnok",
"Zoltan",
""
],
[
"Janik",
"Romuald A.",
""
]
] |
In the present paper we derive six and seven loop formulas for the anomalous dimension of the Konishi operator in N=4 SYM from string theory using the technique of Luscher corrections. We derive analytically the integrand using the worldsheet S-matrix and evaluate the resulting integral and infinite sum using a combination of high precision numerical integration and asymptotic expansion. We use this high precision numerical result to fit the integer coefficients of zeta values in the final analytical answer. The presented six and seven loop results can be used as a cross-check with FiNLIE on the string theory side, or with direct gauge theory computations. The seven loop level is the theoretical limit of this Luscher approach as at eight loops double-wrapping corrections will appear.
| 11.054334
| 11.871665
| 14.875657
| 10.982309
| 12.024808
| 11.026116
| 10.770889
| 11.287373
| 9.8216
| 13.756897
| 10.474498
| 10.670322
| 12.189816
| 11.05987
| 10.594882
| 10.625864
| 10.588179
| 10.435691
| 11.25303
| 11.610331
| 10.547266
|
1903.02838
|
Christoph Schweigert
|
J\"urgen Fuchs, Christoph Schweigert
|
Full Logarithmic Conformal Field theory - an Attempt at a Status Report
|
13 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium
Higher Structures in M-Theory, August 2018
| null |
10.1002/prop.201910018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Logarithmic conformal field theories are based on vertex algebras with
non-semisimple representation categories. While examples of such theories have
been known for more than 25 years, some crucial aspects of local logarithmic
CFTs have been understood only recently, with the help of a description of
conformal blocks by modular functors. We present some of these results, both
about bulk fields and about boundary fields and boundary states. We also
describe some recent progress towards a derived modular functor.
This is a summary of work with Terry Gannon, Simon Lentner, Svea Mierach,
Gregor Schaumann and Yorck Sommerh\"auser.
|
[
{
"created": "Thu, 7 Mar 2019 11:17:22 GMT",
"version": "v1"
}
] |
2021-07-28
|
[
[
"Fuchs",
"Jürgen",
""
],
[
"Schweigert",
"Christoph",
""
]
] |
Logarithmic conformal field theories are based on vertex algebras with non-semisimple representation categories. While examples of such theories have been known for more than 25 years, some crucial aspects of local logarithmic CFTs have been understood only recently, with the help of a description of conformal blocks by modular functors. We present some of these results, both about bulk fields and about boundary fields and boundary states. We also describe some recent progress towards a derived modular functor. This is a summary of work with Terry Gannon, Simon Lentner, Svea Mierach, Gregor Schaumann and Yorck Sommerh\"auser.
| 7.313631
| 9.4749
| 12.734586
| 9.520616
| 11.6359
| 8.750867
| 9.938068
| 8.563518
| 8.482011
| 11.625942
| 8.772548
| 7.190456
| 7.651589
| 7.163215
| 6.954438
| 7.33077
| 7.097806
| 6.836309
| 7.198398
| 7.957268
| 7.243217
|
2106.12518
|
Ming-Zhi Chung
|
Bo-Ting Chen, Ming-Zhi Chung, Yu-tin Huang, Man Kuan Tam
|
Minimal spin deflection of Kerr-Newman and Supersymmetric black hole
|
28 pages, 6 figures, 1 ancillary file
| null |
10.1007/JHEP10(2021)011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent studies have shown that minimal couplings for massive spinning
particles, which in the classical limit reproduce the leading PM Kerr black
hole dynamics, leads to an Eikonal S-matrix exhibiting spin-entanglement
suppression. In this paper we trace this phenomenon to the suppression of
spin-flipping components in the S-matrix, known to be the hallmark of minimal
coupling in the ultra-relativistic limit. We further generalize the
consideration to charged and $\mathcal{N}=4$ black holes, demonstrating that in
both cases maximal suppression occurs at the extremal limit.
|
[
{
"created": "Wed, 23 Jun 2021 16:33:46 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Dec 2021 02:35:23 GMT",
"version": "v2"
}
] |
2021-12-06
|
[
[
"Chen",
"Bo-Ting",
""
],
[
"Chung",
"Ming-Zhi",
""
],
[
"Huang",
"Yu-tin",
""
],
[
"Tam",
"Man Kuan",
""
]
] |
Recent studies have shown that minimal couplings for massive spinning particles, which in the classical limit reproduce the leading PM Kerr black hole dynamics, leads to an Eikonal S-matrix exhibiting spin-entanglement suppression. In this paper we trace this phenomenon to the suppression of spin-flipping components in the S-matrix, known to be the hallmark of minimal coupling in the ultra-relativistic limit. We further generalize the consideration to charged and $\mathcal{N}=4$ black holes, demonstrating that in both cases maximal suppression occurs at the extremal limit.
| 15.189711
| 14.555504
| 14.473453
| 13.172647
| 14.651073
| 14.519327
| 13.412306
| 13.871166
| 13.334135
| 17.337933
| 13.470316
| 12.681049
| 14.313091
| 13.398102
| 13.453365
| 12.723126
| 12.903145
| 12.237861
| 13.136021
| 13.67068
| 13.043464
|
2109.13240
|
Andrea Fontanella
|
Andrea Fontanella and Juan Miguel Nieto Garc\'ia
|
Classical string solutions in Non-Relativistic AdS$_5\times$S$^5$:
Closed and Twisted sectors
|
41 pages, 5 figures. v2: typos corrected, few comments and references
added. Matching the published version
|
Journal of Physics A: Mathematical and Theoretical (2022)
|
10.1088/1751-8121/ac4abd
|
HU-EP-21/35, DMUS-MP-21/15
|
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We find classical closed string solutions to the non-relativistic
AdS$_5\times$S$^5$ string theory which are the analogue of the BMN and GKP
solutions for the relativistic theory. We show that non-relativistic
AdS$_5\times$S$^5$ string theory admits a $\mathbb{Z}_2$ orbifold symmetry
which allows us to impose twisted boundary conditions. Among the solutions in
the twisted sector, we find the one around which the semiclassical expansion in
arXiv:2102.00008 takes place.
|
[
{
"created": "Mon, 27 Sep 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Feb 2022 13:42:42 GMT",
"version": "v2"
}
] |
2022-02-03
|
[
[
"Fontanella",
"Andrea",
""
],
[
"García",
"Juan Miguel Nieto",
""
]
] |
We find classical closed string solutions to the non-relativistic AdS$_5\times$S$^5$ string theory which are the analogue of the BMN and GKP solutions for the relativistic theory. We show that non-relativistic AdS$_5\times$S$^5$ string theory admits a $\mathbb{Z}_2$ orbifold symmetry which allows us to impose twisted boundary conditions. Among the solutions in the twisted sector, we find the one around which the semiclassical expansion in arXiv:2102.00008 takes place.
| 6.716853
| 5.842112
| 7.198457
| 5.846945
| 6.014939
| 5.811227
| 5.812023
| 5.955592
| 5.904896
| 7.081949
| 5.944581
| 5.989429
| 6.580716
| 5.981949
| 6.0381
| 5.840409
| 5.640167
| 6.193219
| 6.003096
| 6.759427
| 5.90638
|
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