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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1004.3664
|
Daniel Puigdomenech
|
Jorge Alfaro, Dom\`enec Espriu, Daniel Puigdom\`enech
|
The emergence of geometry: a two-dimensional toy model
|
18 pages
|
Phys.Rev.D82:045018,2010
|
10.1103/PhysRevD.82.045018
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the similarities between the effective chiral lagrangrian, relevant
for low-energy strong interactions, and the Einstein-Hilbert action. We use
these analogies to suggest a specific mechanism whereby gravitons would emerge
as Goldstone bosons of a global SO(D) X GL(D) symmetry broken down to SO(D) by
fermion condensation. We propose a two-dimensional toy model where a dynamical
zwei-bein is generated from a topological theory without any pre-existing
metric structure, the space being endowed only with an affine connection. A
metric appears only after the symmetry breaking; thus the notion of distance is
an induced effective one. In spite of several non-standard features this simple
toy model appears to be renormalizable and at long distances is described by an
effective lagrangian that corresponds to that of two-dimensional gravity
(Liouville theory). The induced cosmological constant is related to the
dynamical mass M acquired by the fermion fields in the breaking, which also
acts as an infrared regulator. The low-energy expansion is valid for momenta k
>M, i.e. for supra-horizon scales. We briefly discuss a possible implementation
of a similar mechanism in four dimensions.
|
[
{
"created": "Wed, 21 Apr 2010 10:00:07 GMT",
"version": "v1"
}
] |
2012-09-17
|
[
[
"Alfaro",
"Jorge",
""
],
[
"Espriu",
"Domènec",
""
],
[
"Puigdomènech",
"Daniel",
""
]
] |
We review the similarities between the effective chiral lagrangrian, relevant for low-energy strong interactions, and the Einstein-Hilbert action. We use these analogies to suggest a specific mechanism whereby gravitons would emerge as Goldstone bosons of a global SO(D) X GL(D) symmetry broken down to SO(D) by fermion condensation. We propose a two-dimensional toy model where a dynamical zwei-bein is generated from a topological theory without any pre-existing metric structure, the space being endowed only with an affine connection. A metric appears only after the symmetry breaking; thus the notion of distance is an induced effective one. In spite of several non-standard features this simple toy model appears to be renormalizable and at long distances is described by an effective lagrangian that corresponds to that of two-dimensional gravity (Liouville theory). The induced cosmological constant is related to the dynamical mass M acquired by the fermion fields in the breaking, which also acts as an infrared regulator. The low-energy expansion is valid for momenta k >M, i.e. for supra-horizon scales. We briefly discuss a possible implementation of a similar mechanism in four dimensions.
| 9.348979
| 10.368539
| 10.320146
| 10.209547
| 11.102643
| 10.649009
| 10.346039
| 10.469571
| 9.699219
| 10.808086
| 10.117428
| 9.609487
| 9.464772
| 9.527586
| 9.68163
| 9.866298
| 9.875363
| 9.333965
| 9.530651
| 9.179466
| 9.736352
|
1109.0335
|
Hongwei Yu
|
Jiawei Hu, Hongwei Yu
|
Entanglement generation outside a Schwarzschild black hole and the
Hawking effect
|
15 pages, no figures, Revtex
|
JHEP 08(2011)137
|
10.1007/JHEP08(2011)137
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the Hawking effect by studying the asymptotic entanglement of two
mutually independent two-level atoms placed at a fixed radial distance outside
a Schwarzschild black hole in the framework of open quantum systems. We treat
the two-atom system as an open quantum system in a bath of fluctuating
quantized massless scalar fields in vacuum and calculate the concurrence, a
measurement of entanglement, of the equilibrium state of the system at large
times, for the Unruh, Hartle-Hawking and Boulware vacua respectively. We find,
for all three vacuum cases, that the atoms turn out to be entangled even if
they are initially in a separable state as long as the system is not placed
right at the even horizon. Remarkably, only in the Unruh vacuum, will the
asymptotic entanglement be affected by the backscattering of the thermal
radiation off the space-time curvature. The effect of the back scatterings on
the asymptotic entanglement cancels in the Hartle-Hawking vacuum case.
|
[
{
"created": "Fri, 2 Sep 2011 00:26:53 GMT",
"version": "v1"
}
] |
2011-09-05
|
[
[
"Hu",
"Jiawei",
""
],
[
"Yu",
"Hongwei",
""
]
] |
We examine the Hawking effect by studying the asymptotic entanglement of two mutually independent two-level atoms placed at a fixed radial distance outside a Schwarzschild black hole in the framework of open quantum systems. We treat the two-atom system as an open quantum system in a bath of fluctuating quantized massless scalar fields in vacuum and calculate the concurrence, a measurement of entanglement, of the equilibrium state of the system at large times, for the Unruh, Hartle-Hawking and Boulware vacua respectively. We find, for all three vacuum cases, that the atoms turn out to be entangled even if they are initially in a separable state as long as the system is not placed right at the even horizon. Remarkably, only in the Unruh vacuum, will the asymptotic entanglement be affected by the backscattering of the thermal radiation off the space-time curvature. The effect of the back scatterings on the asymptotic entanglement cancels in the Hartle-Hawking vacuum case.
| 6.271466
| 7.178371
| 6.131018
| 5.829369
| 6.628941
| 6.458626
| 7.147806
| 5.838791
| 6.714951
| 6.058078
| 6.540397
| 6.346684
| 6.201432
| 6.17593
| 6.237853
| 6.190459
| 6.280176
| 6.207584
| 6.510154
| 6.150702
| 6.463602
|
hep-th/9907103
|
Marko Kolanovic
|
A. Ilakovac, M. Kolanovic, S. Pallua and P.Prester
|
Violation of the string hypothesis and Heisenberg XXZ spin chain
|
15 pages, 7 Postscript figures
|
Phys.Rev. B60 (1999) 7271
|
10.1103/PhysRevB.60.7271
| null |
hep-th cond-mat math-ph math.MP
| null |
In this paper we count the numbers of real and complex solutions to Bethe
constraints in the two particle sector of the XXZ model. We find exact number
of exceptions to the string conjecture and total number of solutions which is
required for completeness.
|
[
{
"created": "Wed, 14 Jul 1999 09:09:08 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ilakovac",
"A.",
""
],
[
"Kolanovic",
"M.",
""
],
[
"Pallua",
"S.",
""
],
[
"Prester",
"P.",
""
]
] |
In this paper we count the numbers of real and complex solutions to Bethe constraints in the two particle sector of the XXZ model. We find exact number of exceptions to the string conjecture and total number of solutions which is required for completeness.
| 22.464169
| 18.168892
| 19.99884
| 16.064739
| 21.401964
| 15.728188
| 17.172089
| 15.009448
| 15.946079
| 18.952147
| 16.405666
| 16.959761
| 18.809452
| 17.277866
| 17.401695
| 17.208771
| 17.196159
| 18.480825
| 17.742586
| 18.891991
| 17.217131
|
hep-th/0406236
|
Bodo Geyer
|
B. Geyer and P.M. Lavrov
|
Basic properties of Fedosov supermanifolds
|
10 pages, Latex, Contribution to Special Issue of Vestnik of Tomsk
State Pedagogical University devoted to 70th Anniversary of Physical and
Mathematical Department
|
TSPU Vestnik 44N7 (2004) 62-68
| null | null |
hep-th
| null |
Basic properties of even (odd) supermanifolds endowed with a connection
respecting a given symplectic structure are studied. Such supermanifolds can be
considered as generalization of Fedosov manifolds to the supersymmetric case.
|
[
{
"created": "Fri, 25 Jun 2004 10:40:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Geyer",
"B.",
""
],
[
"Lavrov",
"P. M.",
""
]
] |
Basic properties of even (odd) supermanifolds endowed with a connection respecting a given symplectic structure are studied. Such supermanifolds can be considered as generalization of Fedosov manifolds to the supersymmetric case.
| 8.437825
| 6.295854
| 8.270636
| 6.971816
| 6.292793
| 5.578732
| 6.115669
| 6.255231
| 6.898438
| 11.529469
| 5.744617
| 6.386725
| 7.808702
| 6.492174
| 6.935023
| 6.63073
| 6.782575
| 6.64957
| 6.858612
| 7.710814
| 6.904793
|
2311.08498
|
Stefan Groot Nibbelink
|
Stefan Groot Nibbelink
|
GLSM resolutions of torsional heterotic Z2xZ2 orbifolds
|
12 pages LaTeX, prepared as proceedings for the workshop GLSM@30 at
the Simons Center, revised based on comments by a referee
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Heterotic toriodal Z2xZ2 orbifolds may possess discrete torsion between the
two defining orbifold twists in the form of additional cocycle factors in their
one-loop partition functions. Using Gauged Linear Sigma Models (GLSMs) the
consequences of discrete torsion can be uncovered when the orbifold is smoothed
out by switching on appropriate blowup modes. Here blowup modes with twisted
oscillator excitations are chosen to reproduce bundles that are close to the
standard embedding without torsion. The orbifold resolutions with discrete
torsion are distinguished from resolutions without torsion, since they require
NS5-branes at their exceptional cycles.
|
[
{
"created": "Tue, 14 Nov 2023 19:42:59 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2024 20:05:19 GMT",
"version": "v2"
}
] |
2024-07-12
|
[
[
"Nibbelink",
"Stefan Groot",
""
]
] |
Heterotic toriodal Z2xZ2 orbifolds may possess discrete torsion between the two defining orbifold twists in the form of additional cocycle factors in their one-loop partition functions. Using Gauged Linear Sigma Models (GLSMs) the consequences of discrete torsion can be uncovered when the orbifold is smoothed out by switching on appropriate blowup modes. Here blowup modes with twisted oscillator excitations are chosen to reproduce bundles that are close to the standard embedding without torsion. The orbifold resolutions with discrete torsion are distinguished from resolutions without torsion, since they require NS5-branes at their exceptional cycles.
| 20.224482
| 15.196912
| 21.755779
| 15.658591
| 17.083755
| 17.204287
| 16.468863
| 15.473264
| 15.783648
| 23.562649
| 16.824314
| 16.443447
| 17.601696
| 16.505781
| 16.490841
| 16.745359
| 16.134512
| 16.239979
| 16.790329
| 19.201241
| 16.421906
|
2303.16108
|
Juan Miguel Nieto Garc\'ia
|
Juan Miguel Nieto Garc\'ia, Roberto Ruiz, Alessandro Torrielli
|
Infinite-dimensional R-matrices for the relativistic scattering of
massless modes on $\boldsymbol{\mathrm{AdS}_2}$
|
22 pages. v2: minor modifications, references added. v3: discussion
on crossing expanded, references added
| null | null |
DMUS-MP-23/07, ZMP-HH/23-4
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct infinite-dimensional R-matrices that generalise the relativistic
scattering of massless modes with the same chirality on $\mathrm{AdS}_2$ near
the Berestein-Maldacena-Nastase vacuum. We show that the infrared limit of the
R-matrices reproduces finite-dimensional scattering of massless modes on
$\mathrm{AdS}_2$, from which the R-matrices borrow modified braiding unitary.
We also prove that the R-matrices enjoy an infinite-dimensional symmetry
superalgebra that embeds that of $\mathrm{AdS}_2$. Finally, we verify that the
R-matrices are also invariant under crossing symmetry.
|
[
{
"created": "Tue, 28 Mar 2023 16:24:06 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Apr 2023 18:04:03 GMT",
"version": "v2"
},
{
"created": "Sun, 21 May 2023 11:10:37 GMT",
"version": "v3"
}
] |
2023-05-23
|
[
[
"García",
"Juan Miguel Nieto",
""
],
[
"Ruiz",
"Roberto",
""
],
[
"Torrielli",
"Alessandro",
""
]
] |
We construct infinite-dimensional R-matrices that generalise the relativistic scattering of massless modes with the same chirality on $\mathrm{AdS}_2$ near the Berestein-Maldacena-Nastase vacuum. We show that the infrared limit of the R-matrices reproduces finite-dimensional scattering of massless modes on $\mathrm{AdS}_2$, from which the R-matrices borrow modified braiding unitary. We also prove that the R-matrices enjoy an infinite-dimensional symmetry superalgebra that embeds that of $\mathrm{AdS}_2$. Finally, we verify that the R-matrices are also invariant under crossing symmetry.
| 10.93832
| 9.754866
| 11.646394
| 9.600815
| 9.755422
| 12.919789
| 10.597945
| 10.108854
| 9.585593
| 11.469511
| 9.885031
| 9.565245
| 10.220645
| 9.551957
| 9.638076
| 10.251877
| 9.87766
| 10.250513
| 9.66566
| 9.984646
| 10.44101
|
hep-th/9803245
|
Christian Jaekel
|
Christian Jaekel
|
The Relation Between KMS-states for Different Temperatures
|
latex, 24 pages
|
Annales Henri Poincare 5 (2004) 579-606
| null | null |
hep-th
| null |
Given a thermal field theory for some temperature $\beta^{-1}$, we construct
the theory at an arbitrary temperature $ 1 / \beta'$. Our work is based on a
construction invented by Buchholz and Junglas, which we adapt to thermal field
theories. In a first step we construct states which closely resemble KMS states
for the new temperature in a local region $\O_\circ \subset \rr^4$, but
coincide with the given KMS state in the space-like complement of a slightly
larger region $\hat{\O}$. By a weak*-compactness argument there always exists a
convergent subnet of states as the size of $ \O_\circ$ and $ \hat{\O}$ tends
towards $ \rr^4$. Whether or not such a limit state is a global KMS state for
the new temperature, depends on the surface energy contained in the layer in
between the boundaries of $ \O_\circ$ and $ \hat{\O}$. We show that this
surface energy can be controlled by a generalized cluster condition.
|
[
{
"created": "Mon, 30 Mar 1998 14:53:10 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Apr 1998 16:13:17 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Nov 1998 16:04:08 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Apr 1999 15:07:46 GMT",
"version": "v4"
},
{
"created": "Wed, 5 May 2004 09:24:26 GMT",
"version": "v5"
}
] |
2007-05-23
|
[
[
"Jaekel",
"Christian",
""
]
] |
Given a thermal field theory for some temperature $\beta^{-1}$, we construct the theory at an arbitrary temperature $ 1 / \beta'$. Our work is based on a construction invented by Buchholz and Junglas, which we adapt to thermal field theories. In a first step we construct states which closely resemble KMS states for the new temperature in a local region $\O_\circ \subset \rr^4$, but coincide with the given KMS state in the space-like complement of a slightly larger region $\hat{\O}$. By a weak*-compactness argument there always exists a convergent subnet of states as the size of $ \O_\circ$ and $ \hat{\O}$ tends towards $ \rr^4$. Whether or not such a limit state is a global KMS state for the new temperature, depends on the surface energy contained in the layer in between the boundaries of $ \O_\circ$ and $ \hat{\O}$. We show that this surface energy can be controlled by a generalized cluster condition.
| 7.478063
| 8.652699
| 8.569871
| 7.812493
| 7.981678
| 8.444708
| 8.118461
| 8.027783
| 8.176538
| 9.477413
| 8.104184
| 7.908468
| 7.633524
| 7.449808
| 7.50718
| 7.437415
| 7.325374
| 7.53538
| 7.449671
| 7.649024
| 7.435225
|
hep-th/9707123
|
Ashoke Sen
|
Ashoke Sen
|
A Note on Enhanced Gauge Symmetries in M- and String Theory
|
LaTeX file, 12 pages, minor sign errors corrected
|
JHEP 9709:001,1997
|
10.1088/1126-6708/1997/09/001
|
MRI-PHY/P970717
|
hep-th
| null |
Two different mechanisms exist in non-perturbative String / M- theory for
enhanced SU(N) (SO(2N)) gauge symmetries. It can appear in type IIA string
theory or M-theory near an $A_{N-1}$ (D_N) type singularity where membrnes
wrapped around two cycles become massless, or it can appear due to coincident
D-branes (and orientifold planes) where open strings stretched between D-branes
become massless. In this paper we exhibit the relationship between these two
mechanisms by displaying a configuration in M-theory, which, in one limit, can
be regarded as membranes wrapped around two cycles with $A_{N-1}$ (D_N) type
intersection matrix, and in another limit, can be regarded as open strings
stretched between N Dirichlet 6-branes (in the presence of an orientifold
plane).
|
[
{
"created": "Sun, 13 Jul 1997 11:04:56 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 1997 04:13:23 GMT",
"version": "v2"
}
] |
2010-02-04
|
[
[
"Sen",
"Ashoke",
""
]
] |
Two different mechanisms exist in non-perturbative String / M- theory for enhanced SU(N) (SO(2N)) gauge symmetries. It can appear in type IIA string theory or M-theory near an $A_{N-1}$ (D_N) type singularity where membrnes wrapped around two cycles become massless, or it can appear due to coincident D-branes (and orientifold planes) where open strings stretched between D-branes become massless. In this paper we exhibit the relationship between these two mechanisms by displaying a configuration in M-theory, which, in one limit, can be regarded as membranes wrapped around two cycles with $A_{N-1}$ (D_N) type intersection matrix, and in another limit, can be regarded as open strings stretched between N Dirichlet 6-branes (in the presence of an orientifold plane).
| 7.038871
| 7.644629
| 7.339796
| 6.670036
| 7.137007
| 7.026062
| 7.977887
| 7.163113
| 6.72754
| 7.923593
| 6.990322
| 6.562418
| 6.79258
| 6.446545
| 6.529406
| 6.663492
| 6.656657
| 6.686715
| 6.73549
| 6.677323
| 6.501981
|
hep-th/0404153
|
Dmitry Talalaev
|
D. Talalaev
|
Quantization of the Gaudin System
|
9 pages
| null | null |
ITEP-TH-14/04
|
hep-th math.QA nlin.SI
| null |
In this article we exploit the known commutative family in Y(gl(n)) - the
Bethe subalgebra - and its special limit to construct quantization of the
Gaudin integrable system. We give explicit expressions for quantum hamiltonians
QI_k(u), k=1,..., n. At small order k=1,...,3 they coincide with the
quasiclassic ones, even in the case k=4 we obtain quantum correction.
|
[
{
"created": "Wed, 21 Apr 2004 05:55:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Talalaev",
"D.",
""
]
] |
In this article we exploit the known commutative family in Y(gl(n)) - the Bethe subalgebra - and its special limit to construct quantization of the Gaudin integrable system. We give explicit expressions for quantum hamiltonians QI_k(u), k=1,..., n. At small order k=1,...,3 they coincide with the quasiclassic ones, even in the case k=4 we obtain quantum correction.
| 21.554438
| 22.163782
| 31.167515
| 21.52379
| 22.352631
| 24.705484
| 23.416847
| 22.611282
| 20.421436
| 24.043081
| 19.250278
| 20.263311
| 22.22473
| 20.019989
| 19.583319
| 20.042131
| 18.879011
| 19.543219
| 18.182386
| 19.918167
| 18.001369
|
hep-th/9307067
| null |
L. Baulieu and E. Rabinovici
|
On the Calculability of Observables in Topological Quantum Mechanical
Models
|
Latex file. 18 pages. preprint Racah Institute 151-Paris LPTHE 93-28.
(THIS IS THE SAME VERSION AS THE ONE SENT TWO DAYS AGO BUT WITH LINES
CORRECTLY TRUNCATED. WITH APOLOGIES FROM THE AUTHORS)
|
Phys.Lett. B316 (1993) 93-101
|
10.1016/0370-2693(93)90663-3
| null |
hep-th
| null |
We consider a superconformal quantum mechanical system which has been chosen
on the basis of a local BRST topological invariance. We suggest that it truly
leads to topological observables which we compute. The absences of a ground
state and of a mass gap are special features of this system.
|
[
{
"created": "Fri, 9 Jul 1993 14:43:36 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jul 1993 14:24:39 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Baulieu",
"L.",
""
],
[
"Rabinovici",
"E.",
""
]
] |
We consider a superconformal quantum mechanical system which has been chosen on the basis of a local BRST topological invariance. We suggest that it truly leads to topological observables which we compute. The absences of a ground state and of a mass gap are special features of this system.
| 17.111174
| 13.518131
| 16.193907
| 13.154703
| 14.378064
| 16.160259
| 14.753677
| 14.474643
| 13.30287
| 18.220936
| 14.953117
| 15.014778
| 15.818682
| 15.434053
| 14.781322
| 15.99894
| 16.130205
| 14.952978
| 15.709986
| 16.705416
| 15.144625
|
2401.11637
|
Eric R. Sharpe
|
E. Sharpe
|
A survey of recent developments in GLSMs
|
20 pages, LaTeX; v2: references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article we briefly survey some developments in gauged linear sigma
models (GLSMs). Specifically, we give an overview of progress on constructions
of GLSMs for various geometries, GLSM-based computations of quantum cohomology,
quantum sheaf cohomology, and quantum K theory rings, as well as
two-dimensional abelian and non-abelian mirror constructions. (Contribution to
the proceedings of Gauged Linear Sigma Models@30 (Simons Center, Stony Brook,
May 2023).)
|
[
{
"created": "Mon, 22 Jan 2024 00:20:38 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Feb 2024 01:55:31 GMT",
"version": "v2"
}
] |
2024-02-02
|
[
[
"Sharpe",
"E.",
""
]
] |
In this article we briefly survey some developments in gauged linear sigma models (GLSMs). Specifically, we give an overview of progress on constructions of GLSMs for various geometries, GLSM-based computations of quantum cohomology, quantum sheaf cohomology, and quantum K theory rings, as well as two-dimensional abelian and non-abelian mirror constructions. (Contribution to the proceedings of Gauged Linear Sigma Models@30 (Simons Center, Stony Brook, May 2023).)
| 8.54882
| 7.864559
| 9.133608
| 6.843041
| 7.052491
| 7.143909
| 7.15996
| 7.239209
| 6.954395
| 11.122002
| 6.992166
| 7.380918
| 8.341578
| 7.379301
| 7.490415
| 7.580625
| 7.694545
| 7.631064
| 7.744916
| 7.943129
| 7.358882
|
hep-th/9204018
|
7353
|
E. Brezin and S. Hikami
|
A naive matrix-model approach to two-dimensional quantum gravity coupled
to matter of arbitrary central charge
|
P. 11
|
Phys.Lett. B283 (1992) 203-208
|
10.1016/0370-2693(92)90008-R
| null |
hep-th
| null |
In the usual matrix-model approach to random discretized two-dimensional
manifolds, one introduces n Ising spins on each cell, i.e. a discrete version
of 2D quantum gravity coupled to matter with a central charge n/2. The
matrix-model consists then of an integral over $2^{n}$ matrices, which we are
unable to solve for $n>1$. However for a fixed genus we can expand in the
cosmological constant g for arbitrary values of n, and a simple minded analysis
of the series yields for n=0,1 and 2 the expected results for the exponent
$\gamma_{string}$ with an amazing precision given the small number of terms
that we considered. We then proceed to larger values of n. Simple tests of
universality are successfully applied; for instance we obtain the same
exponents for n=3 or for one Ising model coupled to a one dimensional target
space. The calculations are easily extended to states Potts models, through an
integration over $q^{n}$ matrices. We see no sign of the tachyonic instability
of the theory, but we have only considered genus zero at this stage.
|
[
{
"created": "Wed, 8 Apr 1992 06:41:09 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Brezin",
"E.",
""
],
[
"Hikami",
"S.",
""
]
] |
In the usual matrix-model approach to random discretized two-dimensional manifolds, one introduces n Ising spins on each cell, i.e. a discrete version of 2D quantum gravity coupled to matter with a central charge n/2. The matrix-model consists then of an integral over $2^{n}$ matrices, which we are unable to solve for $n>1$. However for a fixed genus we can expand in the cosmological constant g for arbitrary values of n, and a simple minded analysis of the series yields for n=0,1 and 2 the expected results for the exponent $\gamma_{string}$ with an amazing precision given the small number of terms that we considered. We then proceed to larger values of n. Simple tests of universality are successfully applied; for instance we obtain the same exponents for n=3 or for one Ising model coupled to a one dimensional target space. The calculations are easily extended to states Potts models, through an integration over $q^{n}$ matrices. We see no sign of the tachyonic instability of the theory, but we have only considered genus zero at this stage.
| 13.438082
| 13.649433
| 14.621593
| 12.904692
| 13.993184
| 14.868246
| 14.420838
| 12.738405
| 12.846986
| 16.373806
| 13.08893
| 13.35813
| 13.123588
| 12.945703
| 13.186978
| 13.436049
| 13.607894
| 13.266159
| 12.651262
| 13.602769
| 13.018696
|
0904.2431
|
Kazunobu Maruyoshi
|
Kazunobu Maruyoshi
|
Quiver Gauge Theory and Extended Electric-magnetic Duality
|
24 pages; v2: references added, typos corrected
|
JHEP 0909:061,2009
|
10.1088/1126-6708/2009/09/061
|
YITP-09-26
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct N=1 A-D-E quiver gauge theory with the gauge kinetic term which
depends on the adjoint chiral superfields, as a low energy effective theory on
D5-branes wrapped on 2-cycles of Calabi-Yau 3-fold in IIB string theory. The
field-dependent gauge kinetic term can be engineered by introducing B-field
which holomorphically varies on the base space (complex plane) of Calabi-Yau.
We consider Weyl reflection on A-D-E node, which acts non-trivially on the
gauge kinetic term. It is known that Weyl reflection is related to N=1
electric-magnetic duality. Therefore, the non-trivial action implies an
extension of the electric-magnetic duality to the case with the field-dependent
gauge kinetic term. We show that this extended duality is consistent from the
field theoretical point of view. We also consider the duality map of the
operators.
|
[
{
"created": "Thu, 16 Apr 2009 08:58:43 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jul 2009 03:14:57 GMT",
"version": "v2"
}
] |
2011-04-14
|
[
[
"Maruyoshi",
"Kazunobu",
""
]
] |
We construct N=1 A-D-E quiver gauge theory with the gauge kinetic term which depends on the adjoint chiral superfields, as a low energy effective theory on D5-branes wrapped on 2-cycles of Calabi-Yau 3-fold in IIB string theory. The field-dependent gauge kinetic term can be engineered by introducing B-field which holomorphically varies on the base space (complex plane) of Calabi-Yau. We consider Weyl reflection on A-D-E node, which acts non-trivially on the gauge kinetic term. It is known that Weyl reflection is related to N=1 electric-magnetic duality. Therefore, the non-trivial action implies an extension of the electric-magnetic duality to the case with the field-dependent gauge kinetic term. We show that this extended duality is consistent from the field theoretical point of view. We also consider the duality map of the operators.
| 5.576441
| 5.623511
| 6.704225
| 5.646493
| 6.023704
| 5.677849
| 5.962607
| 5.650383
| 5.522177
| 6.883427
| 5.343345
| 5.358439
| 5.655431
| 5.464337
| 5.599772
| 5.484436
| 5.470326
| 5.346752
| 5.545852
| 5.812458
| 5.301595
|
1406.5129
|
Bartomeu Fiol
|
Bartomeu Fiol, Blai Garolera and Genis Torrents
|
Exact probes of orientifolds
|
28 pages. v2: Added references
| null |
10.1007/JHEP09(2014)169
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the exact vacuum expectation value of circular Wilson loops for
Euclidean ${\cal N}=4$ super Yang-Mills with $G=SO(N),Sp(N)$, in the
fundamental and spinor representations. These field theories are dual to type
IIB string theory compactified on $AdS_5\times {\mathbb R} {\mathbb P}^5$ plus
certain choices of discrete torsion, and we use our results to probe this
holographic duality. We first revisit the LLM-type geometries having
$AdS_5\times {\mathbb R} {\mathbb P}^5$ as ground state. Our results clarify
and refine the identification of these LLM-type geometries as bubbling
geometries arising from fermions on a half harmonic oscillator. We furthermore
identify the presence of discrete torsion with the one-fermion Wigner
distribution becoming negative at the origin of phase space. We then turn to
the string world-sheet interpretation of our results and argue that for the
quantities considered they imply two features: first, the contribution coming
from world-sheets with a single crosscap is closely related to the contribution
coming from orientable world-sheets, and second, world-sheets with two
crosscaps don't contribute to these quantities.
|
[
{
"created": "Thu, 19 Jun 2014 17:52:23 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jul 2014 17:56:51 GMT",
"version": "v2"
}
] |
2015-06-22
|
[
[
"Fiol",
"Bartomeu",
""
],
[
"Garolera",
"Blai",
""
],
[
"Torrents",
"Genis",
""
]
] |
We compute the exact vacuum expectation value of circular Wilson loops for Euclidean ${\cal N}=4$ super Yang-Mills with $G=SO(N),Sp(N)$, in the fundamental and spinor representations. These field theories are dual to type IIB string theory compactified on $AdS_5\times {\mathbb R} {\mathbb P}^5$ plus certain choices of discrete torsion, and we use our results to probe this holographic duality. We first revisit the LLM-type geometries having $AdS_5\times {\mathbb R} {\mathbb P}^5$ as ground state. Our results clarify and refine the identification of these LLM-type geometries as bubbling geometries arising from fermions on a half harmonic oscillator. We furthermore identify the presence of discrete torsion with the one-fermion Wigner distribution becoming negative at the origin of phase space. We then turn to the string world-sheet interpretation of our results and argue that for the quantities considered they imply two features: first, the contribution coming from world-sheets with a single crosscap is closely related to the contribution coming from orientable world-sheets, and second, world-sheets with two crosscaps don't contribute to these quantities.
| 8.018727
| 8.279555
| 8.945861
| 7.404353
| 8.076898
| 8.273066
| 7.672813
| 7.928854
| 7.515023
| 9.274231
| 7.5604
| 7.670122
| 7.980255
| 7.442435
| 7.468652
| 7.557319
| 7.666877
| 7.505281
| 7.366045
| 8.03292
| 7.515624
|
hep-th/0010018
|
Jun-Chen Su
|
Jun-Chen Su
|
Alternative Formulation of The Quantum Electroweak Theory
|
16 pages,3 figures
| null | null | null |
hep-th
| null |
The quantization of the electroweak theory is performed starting from the
Lagrangian given in the so-called unitary gauge in which the unphysical
Goldstone fields disappear. In such a Lagrangian, the unphysical longitudinal
components of the gauge fields and the residual gauge degrees of freedom are
naturally eliminated by introducing the Lorentz gauge condition and the ghost
equation. In this way, the quantum theory given in $\alpha $-gauge is perfectly
established in the Lagangian formalism by the Faddeev-Popov approach or the
Lagrange multiplier method in the framework of SU(2)$\times $U(1) gauge
symmetry. The theory established is not only simpler than the ordinary
R$_\alpha -$gauge theory, but also explicitly renormalizable. The unitarity of
the S-matrix is ensured by the $\alpha -$limiting procedure proposed
previously. Especially, it is shown that the electroweak theory without
involving the Higgs boson can equally be formulated whitin the $SU(2)\times
U(1)$ symmetry and exhibits good renormalizability. The unitarity of such a
theory may also be guaranteed by the $\alpha $-limiting procedure.
|
[
{
"created": "Wed, 4 Oct 2000 08:30:52 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Dec 2005 08:04:14 GMT",
"version": "v10"
},
{
"created": "Mon, 23 Oct 2000 01:30:26 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Nov 2000 05:04:57 GMT",
"version": "v3"
},
{
"created": "Fri, 1 Dec 2000 11:53:46 GMT",
"version": "v4"
},
{
"created": "Mon, 8 Jan 2001 15:00:02 GMT",
"version": "v5"
},
{
"created": "Sun, 11 Feb 2001 08:15:09 GMT",
"version": "v6"
},
{
"created": "Tue, 5 Feb 2002 07:36:24 GMT",
"version": "v7"
},
{
"created": "Thu, 25 Apr 2002 06:25:50 GMT",
"version": "v8"
},
{
"created": "Sat, 5 Jul 2003 02:05:12 GMT",
"version": "v9"
}
] |
2007-05-23
|
[
[
"Su",
"Jun-Chen",
""
]
] |
The quantization of the electroweak theory is performed starting from the Lagrangian given in the so-called unitary gauge in which the unphysical Goldstone fields disappear. In such a Lagrangian, the unphysical longitudinal components of the gauge fields and the residual gauge degrees of freedom are naturally eliminated by introducing the Lorentz gauge condition and the ghost equation. In this way, the quantum theory given in $\alpha $-gauge is perfectly established in the Lagangian formalism by the Faddeev-Popov approach or the Lagrange multiplier method in the framework of SU(2)$\times $U(1) gauge symmetry. The theory established is not only simpler than the ordinary R$_\alpha -$gauge theory, but also explicitly renormalizable. The unitarity of the S-matrix is ensured by the $\alpha -$limiting procedure proposed previously. Especially, it is shown that the electroweak theory without involving the Higgs boson can equally be formulated whitin the $SU(2)\times U(1)$ symmetry and exhibits good renormalizability. The unitarity of such a theory may also be guaranteed by the $\alpha $-limiting procedure.
| 7.561292
| 7.840915
| 7.551901
| 7.250243
| 7.943406
| 7.829925
| 7.923561
| 7.720382
| 7.687148
| 8.1668
| 7.637566
| 7.479734
| 7.257896
| 7.177259
| 7.244488
| 7.268104
| 7.342921
| 7.355034
| 7.088993
| 7.319586
| 7.184023
|
hep-th/9708099
|
Hyung Won Lee
|
H.W. Lee, Y.S. Myung (Inje U.) and Jin Young Kim (Kunsan Nat'l U.)
|
The role of fixed scalars in scattering off a 5D black hole
|
minor typo errors were corrected, 20 pages no figure, RevTeX
|
Phys. Rev. D 58, 104006 (1998)
|
10.1103/PhysRevD.58.104006
|
INJE-TP-97-3
|
hep-th
| null |
We discuss the role of fixed scalars($\nu,\lambda$) in scattering off a
five-dimensional balck hole. The issue is to explain the disagreement of the
greybody factor for $\lambda$ between the semiclassical and effective string
calculations. In the effective string approach, this is related to the
operators with dimension (3,1) and (1,3). On the semiclassical calculation,
this originates from a complicated mixing between $\lambda$ and other fields.
Hence it may depend on the decoupling procedure. It is shown that $\lambda$
depends on the gauge choices such as the harmonic, dilaton gauges, and the
Krasnitz-Klebanov setting for $h_{\mu\nu}$. It turns out that $\nu$ plays a
role of test field well, while the role of $\lambda$ is obscure.
|
[
{
"created": "Tue, 19 Aug 1997 04:43:33 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Aug 1997 04:47:36 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Jun 1998 05:20:37 GMT",
"version": "v3"
},
{
"created": "Sun, 11 Oct 1998 09:40:53 GMT",
"version": "v4"
}
] |
2016-08-25
|
[
[
"Lee",
"H. W.",
"",
"Inje U."
],
[
"Myung",
"Y. S.",
"",
"Inje U."
],
[
"Kim",
"Jin Young",
"",
"Kunsan Nat'l U."
]
] |
We discuss the role of fixed scalars($\nu,\lambda$) in scattering off a five-dimensional balck hole. The issue is to explain the disagreement of the greybody factor for $\lambda$ between the semiclassical and effective string calculations. In the effective string approach, this is related to the operators with dimension (3,1) and (1,3). On the semiclassical calculation, this originates from a complicated mixing between $\lambda$ and other fields. Hence it may depend on the decoupling procedure. It is shown that $\lambda$ depends on the gauge choices such as the harmonic, dilaton gauges, and the Krasnitz-Klebanov setting for $h_{\mu\nu}$. It turns out that $\nu$ plays a role of test field well, while the role of $\lambda$ is obscure.
| 14.160868
| 12.970288
| 13.385062
| 13.338497
| 13.612826
| 13.793155
| 12.401481
| 13.979261
| 13.903213
| 14.434445
| 12.982487
| 13.305087
| 13.852119
| 12.970226
| 12.991114
| 13.495728
| 12.964089
| 12.640664
| 12.839603
| 13.559978
| 13.572414
|
hep-th/9904104
|
Rob Leigh
|
David Berenstein and Robert G. Leigh
|
Superstring Perturbation Theory and Ramond-Ramond Backgrounds
|
17 pages, LaTeX, 4 figures, uses epsf, latexsym, hyperref packages
Section on realization of supersymmetry algebra has been expanded
|
Phys. Rev. D 60, 106002 (1999)
|
10.1103/PhysRevD.60.106002
|
ILL-(TH)-99-02
|
hep-th
| null |
We consider perturbative Type II superstring theory in the covariant NSR
formalism in the presence of NSNS and RR backgrounds. A concrete example that
we have in mind is the geometry of D3-branes which in the near-horizon region
is AdS_5 x S_5, although our methods may be applied to other backgrounds as
well. We show how conformal invariance of the string path integral is
maintained order by order in the number of holes. This procedure makes uses of
the Fischler-Susskind mechanism to build up the background geometry. A simple
formal expression is given for a \sigma-model Lagrangian. This suggests a
perturbative expansion in 1/g^2N and 1/N. As applications, we consider at
leading order the mixing of RR and NSNS states, and the realization of the
spacetime supersymmetry algebra.
|
[
{
"created": "Wed, 14 Apr 1999 23:14:16 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Apr 1999 17:03:19 GMT",
"version": "v2"
}
] |
2016-08-25
|
[
[
"Berenstein",
"David",
""
],
[
"Leigh",
"Robert G.",
""
]
] |
We consider perturbative Type II superstring theory in the covariant NSR formalism in the presence of NSNS and RR backgrounds. A concrete example that we have in mind is the geometry of D3-branes which in the near-horizon region is AdS_5 x S_5, although our methods may be applied to other backgrounds as well. We show how conformal invariance of the string path integral is maintained order by order in the number of holes. This procedure makes uses of the Fischler-Susskind mechanism to build up the background geometry. A simple formal expression is given for a \sigma-model Lagrangian. This suggests a perturbative expansion in 1/g^2N and 1/N. As applications, we consider at leading order the mixing of RR and NSNS states, and the realization of the spacetime supersymmetry algebra.
| 8.989717
| 8.813416
| 9.264595
| 8.421871
| 9.137116
| 8.652963
| 9.155866
| 8.631114
| 8.292664
| 10.275388
| 8.781632
| 8.415774
| 9.184938
| 8.53265
| 8.885831
| 8.657214
| 8.362444
| 8.65424
| 8.612484
| 9.46629
| 8.633053
|
hep-th/0209122
|
Ashoke Sen
|
Ashoke Sen
|
Time and Tachyon
|
LaTeX file, 24 pages
|
Int.J.Mod.Phys.A18:4869-4888,2003
|
10.1142/S0217751X03015313
|
MRI-P-020902
|
hep-th gr-qc
| null |
Recent analysis suggests that the classical dynamics of a tachyon on an
unstable D-brane is described by a scalar Born-Infeld type action with a
runaway potential. The classical configurations in this theory at late time are
in one to one correspondence with the configuration of a system of
non-interacting (incoherent), non-rotating dust. We discuss some aspects of
canonical quantization of this field theory coupled to gravity, and explore,
following earlier work on this subject, the possibility of using the scalar
field (tachyon) as the definition of time in quantum cosmology. At late `time'
we can identify a subsector in which the scalar field decouples from gravity
and we recover the usual Wheeler - de Witt equation of quantum gravity.
|
[
{
"created": "Mon, 16 Sep 2002 09:23:32 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Sen",
"Ashoke",
""
]
] |
Recent analysis suggests that the classical dynamics of a tachyon on an unstable D-brane is described by a scalar Born-Infeld type action with a runaway potential. The classical configurations in this theory at late time are in one to one correspondence with the configuration of a system of non-interacting (incoherent), non-rotating dust. We discuss some aspects of canonical quantization of this field theory coupled to gravity, and explore, following earlier work on this subject, the possibility of using the scalar field (tachyon) as the definition of time in quantum cosmology. At late `time' we can identify a subsector in which the scalar field decouples from gravity and we recover the usual Wheeler - de Witt equation of quantum gravity.
| 10.762888
| 10.877808
| 11.821785
| 10.024944
| 10.154235
| 11.209653
| 11.529045
| 10.300355
| 10.294669
| 11.604538
| 9.90921
| 9.673508
| 10.624033
| 9.625056
| 10.071448
| 10.154576
| 9.949327
| 9.951116
| 9.744208
| 10.549573
| 9.955501
|
2210.02474
|
Pratik Nandy
|
Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak
|
Krylov complexity in large-$q$ and double-scaled SYK model
|
v4: minor changes, published version in JHEP
|
JHEP 08 (2023) 099
|
10.1007/JHEP08(2023)099
|
YITP-22-106
|
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Considering the large-$q$ expansion of the Sachdev-Ye-Kitaev (SYK) model in
the two-stage limit, we compute the Lanczos coefficients, Krylov complexity,
and the higher Krylov cumulants in subleading order, along with the $t/q$
effects. The Krylov complexity naturally describes the "size" of the
distribution, while the higher cumulants encode richer information. We further
consider the double-scaled limit of SYK$_q$ at infinite temperature, where $q
\sim \sqrt{N}$. In such a limit, we find that the scrambling time shrinks to
zero, and the Lanczos coefficients diverge. The growth of Krylov complexity
appears to be "hyperfast", which is previously conjectured to be associated
with scrambling in de Sitter space.
|
[
{
"created": "Wed, 5 Oct 2022 18:00:11 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Oct 2022 14:07:11 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Feb 2023 09:44:31 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Aug 2023 02:50:46 GMT",
"version": "v4"
}
] |
2023-08-21
|
[
[
"Bhattacharjee",
"Budhaditya",
""
],
[
"Nandy",
"Pratik",
""
],
[
"Pathak",
"Tanay",
""
]
] |
Considering the large-$q$ expansion of the Sachdev-Ye-Kitaev (SYK) model in the two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher Krylov cumulants in subleading order, along with the $t/q$ effects. The Krylov complexity naturally describes the "size" of the distribution, while the higher cumulants encode richer information. We further consider the double-scaled limit of SYK$_q$ at infinite temperature, where $q \sim \sqrt{N}$. In such a limit, we find that the scrambling time shrinks to zero, and the Lanczos coefficients diverge. The growth of Krylov complexity appears to be "hyperfast", which is previously conjectured to be associated with scrambling in de Sitter space.
| 9.773739
| 8.795375
| 11.102074
| 8.239024
| 8.558522
| 8.542821
| 8.287157
| 8.468317
| 8.527781
| 10.999671
| 8.594335
| 8.637131
| 9.628306
| 8.787679
| 8.79379
| 8.788169
| 8.637386
| 8.884974
| 8.897345
| 9.687606
| 8.594632
|
hep-th/0211203
|
Jose D. Edelstein
|
J.D. Edelstein, A. Paredes and A.V. Ramallo
|
Let's Twist Again: General Metrics of G(2) Holonomy from Gauged
Supergravity
|
31 pages, latex; v2: minor changes, references added
|
JHEP 0301 (2003) 011
|
10.1088/1126-6708/2003/01/011
|
US-FT-5/02
|
hep-th
| null |
We construct all complete metrics of cohomogeneity one G(2) holonomy with S^3
x S^3 principal orbits from gauged supergravity. Our approach rests on a
generalization of the twisting procedure used in this framework. It corresponds
to a non-trivial embedding of the special Lagrangian three-cycle wrapped by the
D6-branes in the lower dimensional supergravity. There are constraints that
neatly reduce the general ansatz to a six functions one. Within this approach,
the Hitchin system and the flop transformation are nicely realized in eight
dimensional gauged supergravity.
|
[
{
"created": "Thu, 21 Nov 2002 20:09:15 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Dec 2002 12:26:15 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Edelstein",
"J. D.",
""
],
[
"Paredes",
"A.",
""
],
[
"Ramallo",
"A. V.",
""
]
] |
We construct all complete metrics of cohomogeneity one G(2) holonomy with S^3 x S^3 principal orbits from gauged supergravity. Our approach rests on a generalization of the twisting procedure used in this framework. It corresponds to a non-trivial embedding of the special Lagrangian three-cycle wrapped by the D6-branes in the lower dimensional supergravity. There are constraints that neatly reduce the general ansatz to a six functions one. Within this approach, the Hitchin system and the flop transformation are nicely realized in eight dimensional gauged supergravity.
| 16.561737
| 13.634357
| 19.262459
| 13.148414
| 14.648234
| 14.775896
| 15.855583
| 13.214543
| 14.279634
| 21.749657
| 12.7668
| 13.770348
| 15.724787
| 13.671242
| 13.456882
| 14.163783
| 14.040806
| 13.469555
| 13.813421
| 15.450433
| 13.710359
|
0812.0871
|
Han-Ying Guo
|
Han-Ying Guo, Chao-Guang Huang, Hong-Tu Wu and Bin Zhou
|
The Principle of Relativity, Kinematics and Algebraic Relations
|
11 pages
|
Sci. China G53:591-597,2010
|
10.1007/s11433-010-0162-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on the principle of relativity and the postulate on universal invariant
constants (c,l), all possible kinematics can be set up with sub-symmetries of
the Umov-Weyl-Fock transformations for the inertial motions. Further, in the
combinatory approach, all these symmetries are intrinsically related to each
other, e.g. to the very important dS kinematics for the cosmic scale physics.
|
[
{
"created": "Thu, 4 Dec 2008 07:17:03 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Dec 2008 09:38:54 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Guo",
"Han-Ying",
""
],
[
"Huang",
"Chao-Guang",
""
],
[
"Wu",
"Hong-Tu",
""
],
[
"Zhou",
"Bin",
""
]
] |
Based on the principle of relativity and the postulate on universal invariant constants (c,l), all possible kinematics can be set up with sub-symmetries of the Umov-Weyl-Fock transformations for the inertial motions. Further, in the combinatory approach, all these symmetries are intrinsically related to each other, e.g. to the very important dS kinematics for the cosmic scale physics.
| 24.088884
| 24.584633
| 24.748682
| 21.778984
| 22.385954
| 23.750153
| 24.529562
| 24.105444
| 23.970961
| 25.913389
| 23.992569
| 21.630684
| 22.415602
| 22.285217
| 21.333685
| 21.060944
| 22.311167
| 21.823744
| 21.897314
| 23.749916
| 22.100729
|
hep-th/0001037
|
Michihiro Naka
|
Michihiro Naka, Masatoshi Nozaki
|
Boundary states in Gepner models
|
15 pages, no figures, LaTeX, typos corrected, reference added
|
JHEP 0005 (2000) 027
|
10.1088/1126-6708/2000/05/027
|
UT-872
|
hep-th
| null |
We extend the construction of the boundary states in Gepner models to the
non-diagonal modular invariant theories, and derive the same supersymmetric
conditions as the diagonal theories. We also investigate the relation between
the microscopic charges of the boundary states and Ramond charges of the B-type
D-branes on the Calabi-Yau threefolds with one K\"ahler modulus in the large
volume limit.
|
[
{
"created": "Sun, 9 Jan 2000 10:36:31 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2000 12:19:08 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Naka",
"Michihiro",
""
],
[
"Nozaki",
"Masatoshi",
""
]
] |
We extend the construction of the boundary states in Gepner models to the non-diagonal modular invariant theories, and derive the same supersymmetric conditions as the diagonal theories. We also investigate the relation between the microscopic charges of the boundary states and Ramond charges of the B-type D-branes on the Calabi-Yau threefolds with one K\"ahler modulus in the large volume limit.
| 10.1869
| 8.061444
| 10.827575
| 8.033571
| 9.181427
| 8.057403
| 8.572767
| 7.885965
| 8.187985
| 12.275608
| 7.889631
| 8.727741
| 9.542247
| 9.161295
| 8.784338
| 8.752675
| 9.043816
| 8.832211
| 8.86379
| 9.771845
| 8.613447
|
hep-th/9804071
|
Zerbini Sergio
|
Emilio Elizalde, Antonio Filippi, Luciano Vanzo and Sergio Zerbini
|
Is the multiplicative anomaly dependent on the regularization ?
|
4 pages, LaTex
| null | null |
Imperial/TP/97-98/37
|
hep-th
| null |
In a recent work, T.S. Evans has claimed that the multiplicative anomaly
associated with the zeta-function regularization of functional determinants is
regularization dependent. We show that, if one makes use of consistent
definitions, this is not the case and clarify some points in Evans' argument.
|
[
{
"created": "Thu, 9 Apr 1998 15:37:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Elizalde",
"Emilio",
""
],
[
"Filippi",
"Antonio",
""
],
[
"Vanzo",
"Luciano",
""
],
[
"Zerbini",
"Sergio",
""
]
] |
In a recent work, T.S. Evans has claimed that the multiplicative anomaly associated with the zeta-function regularization of functional determinants is regularization dependent. We show that, if one makes use of consistent definitions, this is not the case and clarify some points in Evans' argument.
| 12.556272
| 10.552857
| 11.558684
| 10.062141
| 9.503294
| 10.118705
| 11.734565
| 10.162942
| 8.564934
| 13.394732
| 9.716439
| 9.624111
| 10.36247
| 9.250068
| 9.449298
| 9.679091
| 9.974407
| 9.014466
| 9.226012
| 9.89335
| 10.031481
|
hep-th/9703025
| null |
A. N. Leznov
|
Two-dimensional Ultra-Toda integrable mappings and chains (Abelian case)
|
LaTeX file
|
Theor.Math.Phys. 117 (1998) 1194-1207; Teor.Mat.Fiz. 117 (1998)
107-122
| null | null |
hep-th
| null |
The new class of integrable mappings and chains is introduced. Corresponding
(1+2) integrable systems invariant with respect to such discrete
transformations are represented in explicit form. Soliton like solutions of
them are represented in terms of matrix elements of fundamental representations
of semisimple A_n algebras for a given group element.
|
[
{
"created": "Tue, 4 Mar 1997 15:06:39 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Leznov",
"A. N.",
""
]
] |
The new class of integrable mappings and chains is introduced. Corresponding (1+2) integrable systems invariant with respect to such discrete transformations are represented in explicit form. Soliton like solutions of them are represented in terms of matrix elements of fundamental representations of semisimple A_n algebras for a given group element.
| 21.117729
| 20.663681
| 23.047544
| 17.878056
| 21.586411
| 19.655785
| 19.130938
| 19.156717
| 19.104902
| 22.307816
| 18.120935
| 18.743404
| 18.742809
| 17.537889
| 17.996542
| 17.785112
| 18.599417
| 17.860456
| 17.620314
| 18.121662
| 17.044619
|
hep-th/9712133
|
Martin B. Halpern
|
M.B. Halpern (UC Berkeley, LBNL) and C. Schwartz (UC Berkeley)
|
Asymptotic Search for Ground States of SU(2) Matrix Theory
|
51 pages
|
Int.J.Mod.Phys.A13:4367-4408,1998
|
10.1142/S0217751X98002110
|
UCB-PTH-97/63, LBNL-41142
|
hep-th
| null |
We introduce a complete set of gauge-invariant variables and a generalized
Born-Oppenheimer formulation to search for normalizable zero-energy asymptotic
solutions of the Schrodinger equation of SU(2) matrix theory. The asymptotic
method gives only ground state candidates, which must be further tested for
global stability. Our results include a set of such ground state candidates,
including one state which is a singlet under spin(9).
|
[
{
"created": "Mon, 15 Dec 1997 23:34:16 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Halpern",
"M. B.",
"",
"UC Berkeley, LBNL"
],
[
"Schwartz",
"C.",
"",
"UC Berkeley"
]
] |
We introduce a complete set of gauge-invariant variables and a generalized Born-Oppenheimer formulation to search for normalizable zero-energy asymptotic solutions of the Schrodinger equation of SU(2) matrix theory. The asymptotic method gives only ground state candidates, which must be further tested for global stability. Our results include a set of such ground state candidates, including one state which is a singlet under spin(9).
| 17.714703
| 18.633923
| 20.454521
| 14.409132
| 16.779995
| 18.084091
| 16.308971
| 16.910517
| 14.682129
| 18.878073
| 16.45013
| 16.533762
| 17.032681
| 16.221233
| 15.421673
| 15.936341
| 16.229246
| 16.053963
| 16.73407
| 17.921234
| 16.571383
|
hep-th/0306127
|
Skenderis Kostas
|
Glenn Barnich, Tobias Hurth and Kostas Skenderis
|
Comments on the Gauge Fixed BRST Cohomology and the Quantum Noether
Method
|
24 pages, example section improved, short version without background
material will appear in Physics Letters B
|
Phys.Lett.B588:111-118,2004
|
10.1016/j.physletb.2004.03.035
|
CERN-TH/2003-127, SLAC-PUB-9929, ULB-TH-03/22, ITFA-2003-30
|
hep-th hep-ph
| null |
We discuss in detail the relation between the gauge fixed and gauge invariant
BRST cohomology. We showed previously that in certain gauges some cohomology
classes of the gauge-fixed BRST differential do not correspond to gauge
invariant observables. We now show that in addition ``accidental'' conserved
currents may appear. These correspond one-to-one to observables that become
trivial in this gauge. We explicitly show how the gauge-fixed BRST cohomology
appears in the context of the Quantum Noether Method.
|
[
{
"created": "Fri, 13 Jun 2003 15:06:19 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jun 2003 16:02:12 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Mar 2004 19:54:35 GMT",
"version": "v3"
}
] |
2011-04-20
|
[
[
"Barnich",
"Glenn",
""
],
[
"Hurth",
"Tobias",
""
],
[
"Skenderis",
"Kostas",
""
]
] |
We discuss in detail the relation between the gauge fixed and gauge invariant BRST cohomology. We showed previously that in certain gauges some cohomology classes of the gauge-fixed BRST differential do not correspond to gauge invariant observables. We now show that in addition ``accidental'' conserved currents may appear. These correspond one-to-one to observables that become trivial in this gauge. We explicitly show how the gauge-fixed BRST cohomology appears in the context of the Quantum Noether Method.
| 9.381206
| 8.849275
| 9.038991
| 8.064978
| 8.345211
| 9.028029
| 8.964511
| 8.787127
| 8.8123
| 9.461032
| 8.186953
| 8.493273
| 8.380864
| 8.202567
| 8.52211
| 8.408202
| 8.489825
| 8.184959
| 8.735374
| 8.686892
| 8.265982
|
2003.11016
|
Yifan Wang
|
Yifan Wang
|
Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
|
91 pages, 2 figures; v3: minor corrections and more references added
| null |
10.1007/JHEP08(2020)021
|
PUPT-2608
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study correlation functions involving extended defect operators in the
four-dimensional ${\cal N}=4$ super-Yang-Mills (SYM). The main tool is
supersymmetric localization with respect to the supercharge $\cal Q$ introduced
in \cite{Pestun:2009nn} which computes observables in the $\cal Q$-cohomology.
We classify general defects of different codimensions in the ${\cal N}=4$ SYM
that belong to the $\cal Q$-cohomology, which form ${1\over 16}$-BPS defect
networks. By performing the $\cal Q$-localization of the ${\cal N}=4$ SYM on
the four-dimensional hemisphere, we discover a novel defect-Yang-Mills (dYM)
theory on a submanifold given by the two-dimensional hemisphere and described
by (constrained) two-dimensional Yang-Mills coupled to topological quantum
mechanics on the boundary circle. This also generalizes to interface defects in
${\cal N}=4$ SYM by the folding trick. We provide explicit dictionary between
defect observables in the SYM and those in the dYM, which enables extraction of
general ${1\over 16}$-BPS defect network observables of the SYM from
two-dimensional gauge theory and matrix model techniques. Applied to the D5
brane interface in the $SU(N)$ SYM, we explicitly determine a set of defect
correlation functions in the large $N$ limit and obtain precise matching with
strong coupling results from IIB supergravity on $AdS_5\times S^5$.
|
[
{
"created": "Tue, 24 Mar 2020 17:59:59 GMT",
"version": "v1"
},
{
"created": "Sat, 23 May 2020 19:59:30 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Dec 2020 21:22:47 GMT",
"version": "v3"
}
] |
2020-12-16
|
[
[
"Wang",
"Yifan",
""
]
] |
We study correlation functions involving extended defect operators in the four-dimensional ${\cal N}=4$ super-Yang-Mills (SYM). The main tool is supersymmetric localization with respect to the supercharge $\cal Q$ introduced in \cite{Pestun:2009nn} which computes observables in the $\cal Q$-cohomology. We classify general defects of different codimensions in the ${\cal N}=4$ SYM that belong to the $\cal Q$-cohomology, which form ${1\over 16}$-BPS defect networks. By performing the $\cal Q$-localization of the ${\cal N}=4$ SYM on the four-dimensional hemisphere, we discover a novel defect-Yang-Mills (dYM) theory on a submanifold given by the two-dimensional hemisphere and described by (constrained) two-dimensional Yang-Mills coupled to topological quantum mechanics on the boundary circle. This also generalizes to interface defects in ${\cal N}=4$ SYM by the folding trick. We provide explicit dictionary between defect observables in the SYM and those in the dYM, which enables extraction of general ${1\over 16}$-BPS defect network observables of the SYM from two-dimensional gauge theory and matrix model techniques. Applied to the D5 brane interface in the $SU(N)$ SYM, we explicitly determine a set of defect correlation functions in the large $N$ limit and obtain precise matching with strong coupling results from IIB supergravity on $AdS_5\times S^5$.
| 6.154628
| 6.508014
| 7.109738
| 6.005572
| 6.363787
| 6.32465
| 6.479488
| 6.317656
| 6.151847
| 7.233251
| 5.950225
| 5.964062
| 6.477087
| 6.138828
| 5.945171
| 5.892508
| 6.229287
| 6.049456
| 6.037424
| 6.64901
| 5.997777
|
hep-th/9804085
|
Andy Strominger
|
Juan Maldacena and Andrew Strominger
|
AdS3 Black Holes and a Stringy Exclusion Principle
|
24 pages, harvmac. References added
|
JHEP 9812:005,1998
|
10.1088/1126-6708/1998/12/005
| null |
hep-th
| null |
The duality relating near-horizon microstates of black holes obtained as
orbifolds of a subset of AdS3 to the states of a conformal field theory is
analyzed in detail. The SL(2,R) invariant vacuum on AdS3 corresponds to the
NS-NS vacuum of the conformal field theory. The effect of the orbifolding is to
produce a density matrix, the temperature and entropy of which coincide with
the black hole. For string theory examples the spectrum of chiral primaries
agrees with the spectrum of multi-particle BPS states for particle numbers less
than of order the central charge. An upper bound on the BPS particle number
follows from the upper bound on the U(1) charge of chiral primaries. This is a
stringy exclusion principle which cannot be seen in perturbation theory about
AdS3.
|
[
{
"created": "Sun, 12 Apr 1998 21:44:54 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 1998 03:32:33 GMT",
"version": "v2"
},
{
"created": "Mon, 11 May 1998 13:42:18 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Maldacena",
"Juan",
""
],
[
"Strominger",
"Andrew",
""
]
] |
The duality relating near-horizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail. The SL(2,R) invariant vacuum on AdS3 corresponds to the NS-NS vacuum of the conformal field theory. The effect of the orbifolding is to produce a density matrix, the temperature and entropy of which coincide with the black hole. For string theory examples the spectrum of chiral primaries agrees with the spectrum of multi-particle BPS states for particle numbers less than of order the central charge. An upper bound on the BPS particle number follows from the upper bound on the U(1) charge of chiral primaries. This is a stringy exclusion principle which cannot be seen in perturbation theory about AdS3.
| 8.954012
| 8.360036
| 9.758553
| 8.096784
| 8.45532
| 8.72202
| 8.543526
| 8.129198
| 8.033163
| 9.962522
| 8.484041
| 8.262106
| 8.320291
| 8.332692
| 8.332349
| 8.453843
| 8.26088
| 8.140944
| 8.289297
| 8.337564
| 8.162731
|
1810.05407
|
Humberto Gomez
|
Humberto Gomez
|
Scattering Equations and a new Factorization for Amplitudes I: Gauge
Theories
|
50+7 pages and typos fixed. Some modifications were made to improve
the text
| null |
10.1007/JHEP05(2019)128
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we show how a double-cover (DC) extension of the Cachazo, He and
Yuan formalism (CHY) can be used to provide a new realization for the
factorization of the amplitudes involving gluons and scalar fields. First, we
propose a graphic representation for a color-ordered Yang-Mills (YM) and
special Yang-Mills-Scalar (YMS) amplitudes within the scattering equation
formalism. Using the DC prescription, we are able to obtain an algorithm
(integration-rules) which decomposes amplitudes in terms of three-point
building-blocks. It is important to remark that the pole structure of this
method is totally different to ordinary factorization (which is a consequence
of the scattering equations). Finally, as a byproduct, we show that the soft
limit in the CHY approach, at leading order, becomes trivial by using the
technology described in this paper.
|
[
{
"created": "Fri, 12 Oct 2018 08:45:00 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Mar 2019 09:57:18 GMT",
"version": "v2"
}
] |
2019-06-26
|
[
[
"Gomez",
"Humberto",
""
]
] |
In this work we show how a double-cover (DC) extension of the Cachazo, He and Yuan formalism (CHY) can be used to provide a new realization for the factorization of the amplitudes involving gluons and scalar fields. First, we propose a graphic representation for a color-ordered Yang-Mills (YM) and special Yang-Mills-Scalar (YMS) amplitudes within the scattering equation formalism. Using the DC prescription, we are able to obtain an algorithm (integration-rules) which decomposes amplitudes in terms of three-point building-blocks. It is important to remark that the pole structure of this method is totally different to ordinary factorization (which is a consequence of the scattering equations). Finally, as a byproduct, we show that the soft limit in the CHY approach, at leading order, becomes trivial by using the technology described in this paper.
| 10.470367
| 9.434114
| 11.816876
| 9.809604
| 10.683042
| 10.906487
| 10.35175
| 9.743953
| 9.980536
| 12.468679
| 9.583628
| 9.447965
| 10.509105
| 9.713126
| 9.311663
| 9.263744
| 9.479327
| 9.457908
| 9.915099
| 10.579538
| 9.636659
|
2007.05984
|
Greg Kaplanek
|
Greg Kaplanek and C.P. Burgess
|
Qubits on the Horizon: Decoherence and Thermalization near Black Holes
|
24 pages plus appendix, 2 figures v2) now published in JHEP, typos
fixed and added subsection on the frame independence of the Markovian limit
|
JHEP 01 (2021) 098
|
10.1007/JHEP01(2021)098
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the late-time evolution of a qubit (or Unruh-De Witt detector)
that hovers very near to the event horizon of a Schwarzschild black hole, while
interacting with a free quantum scalar field. The calculation is carried out
perturbatively in the dimensionless qubit/field coupling $g$, but rather than
computing the qubit excitation rate due to field interactions (as is often
done), we instead use Open EFT techniques to compute the late-time evolution to
all orders in $g^2 t/r_s$ (while neglecting order $g^4 t/r_s$ effects) where
$r_s = 2GM$ is the Schwarzschild radius. We show that for qubits sufficiently
close to the horizon the late-time evolution takes a simple universal form that
depends only on the near-horizon geometry, assuming only that the quantum field
is prepared in a Hadamard-type state (such as the Hartle-Hawking or Unruh
vacua). When the redshifted energy difference, $\omega_\infty$, between the two
qubit states (as measured by a distant observer looking at the detector)
satisfies $\omega_\infty r_s \ll 1$ this universal evolution becomes Markovian
and describes an exponential approach to equilibrium with the Hawking
radiation, with the off-diagonal and diagonal components of the qubit density
matrix relaxing to equilibrium with different characteristic times, both of
order $r_s/g^2$.
|
[
{
"created": "Sun, 12 Jul 2020 13:25:11 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2021 16:22:59 GMT",
"version": "v2"
}
] |
2021-01-21
|
[
[
"Kaplanek",
"Greg",
""
],
[
"Burgess",
"C. P.",
""
]
] |
We examine the late-time evolution of a qubit (or Unruh-De Witt detector) that hovers very near to the event horizon of a Schwarzschild black hole, while interacting with a free quantum scalar field. The calculation is carried out perturbatively in the dimensionless qubit/field coupling $g$, but rather than computing the qubit excitation rate due to field interactions (as is often done), we instead use Open EFT techniques to compute the late-time evolution to all orders in $g^2 t/r_s$ (while neglecting order $g^4 t/r_s$ effects) where $r_s = 2GM$ is the Schwarzschild radius. We show that for qubits sufficiently close to the horizon the late-time evolution takes a simple universal form that depends only on the near-horizon geometry, assuming only that the quantum field is prepared in a Hadamard-type state (such as the Hartle-Hawking or Unruh vacua). When the redshifted energy difference, $\omega_\infty$, between the two qubit states (as measured by a distant observer looking at the detector) satisfies $\omega_\infty r_s \ll 1$ this universal evolution becomes Markovian and describes an exponential approach to equilibrium with the Hawking radiation, with the off-diagonal and diagonal components of the qubit density matrix relaxing to equilibrium with different characteristic times, both of order $r_s/g^2$.
| 6.263827
| 6.957757
| 6.513353
| 6.22225
| 6.783578
| 6.487759
| 7.235971
| 6.554933
| 6.612341
| 7.507005
| 6.097933
| 6.275867
| 6.389747
| 6.302484
| 6.202969
| 6.045995
| 6.178566
| 6.328179
| 6.13759
| 6.22431
| 6.135929
|
1608.06223
|
Alessio Notari
|
Alessio Notari, Konrad Tywoniuk
|
Dissipative Axial Inflation
|
22 pages, 27 figures
| null |
10.1088/1475-7516/2016/12/038
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze in detail the background cosmological evolution of a scalar field
coupled to a massless abelian gauge field through an axial term
$\frac{\phi}{f_\gamma} F \tilde{F}$, such as in the case of an axion. Gauge
fields in this case are known to experience tachyonic growth and therefore can
backreact on the background as an effective dissipation into radiation energy
density $\rho_R$, which which can lead to inflation without the need of a flat
potential. We analyze the system, for momenta $k$ smaller than the cutoff
$f_\gamma$, including numerically the backreaction. We consider the evolution
from a given static initial condition and explicitly show that, if $f_\gamma$
is smaller than the field excursion $\phi_0$ by about a factor of at least
${\cal O} (20)$, there is a friction effect which turns on before that the
field can fall down and which can then lead to a very long stage of inflation
with a generic potential. In addition we find superimposed oscillations, which
would get imprinted on any kind of perturbations, scalars and tensors. Such
oscillations have a period of 4-5 efolds and an amplitude which is typically
less than a few percent and decreases linearly with $f_\gamma$. We also stress
that the comoving curvature perturbation on uniform density should be sensitive
to slow-roll parameters related to $\rho_R$ rather than $\dot{\phi}^2/2$,
although we postpone a calculation of the power spectrum and of non-gaussianity
to future work and we simply define and compute suitable slow roll parameters.
Finally we stress that this scenario may be realized in the axion case, if the
coupling $1/f_\gamma$ to U(1) (photons) is much larger than the coupling
$1/f_G$ to non-abelian gauge fields (gluons), since the latter sets the range
of the potential and therefore the maximal allowed $\phi_0\sim f_G$.
|
[
{
"created": "Mon, 22 Aug 2016 16:52:13 GMT",
"version": "v1"
}
] |
2016-12-28
|
[
[
"Notari",
"Alessio",
""
],
[
"Tywoniuk",
"Konrad",
""
]
] |
We analyze in detail the background cosmological evolution of a scalar field coupled to a massless abelian gauge field through an axial term $\frac{\phi}{f_\gamma} F \tilde{F}$, such as in the case of an axion. Gauge fields in this case are known to experience tachyonic growth and therefore can backreact on the background as an effective dissipation into radiation energy density $\rho_R$, which which can lead to inflation without the need of a flat potential. We analyze the system, for momenta $k$ smaller than the cutoff $f_\gamma$, including numerically the backreaction. We consider the evolution from a given static initial condition and explicitly show that, if $f_\gamma$ is smaller than the field excursion $\phi_0$ by about a factor of at least ${\cal O} (20)$, there is a friction effect which turns on before that the field can fall down and which can then lead to a very long stage of inflation with a generic potential. In addition we find superimposed oscillations, which would get imprinted on any kind of perturbations, scalars and tensors. Such oscillations have a period of 4-5 efolds and an amplitude which is typically less than a few percent and decreases linearly with $f_\gamma$. We also stress that the comoving curvature perturbation on uniform density should be sensitive to slow-roll parameters related to $\rho_R$ rather than $\dot{\phi}^2/2$, although we postpone a calculation of the power spectrum and of non-gaussianity to future work and we simply define and compute suitable slow roll parameters. Finally we stress that this scenario may be realized in the axion case, if the coupling $1/f_\gamma$ to U(1) (photons) is much larger than the coupling $1/f_G$ to non-abelian gauge fields (gluons), since the latter sets the range of the potential and therefore the maximal allowed $\phi_0\sim f_G$.
| 7.443816
| 8.791838
| 8.887624
| 8.539416
| 8.783481
| 9.252207
| 8.932771
| 8.833114
| 8.413765
| 9.21914
| 8.480927
| 7.850292
| 7.7304
| 7.823351
| 7.839333
| 7.776267
| 7.76129
| 7.789887
| 7.74048
| 7.986109
| 7.855688
|
1104.1793
|
Konstantin Zarembo
|
D. Sorokin, A. Tseytlin, L. Wulff and K. Zarembo
|
Superstrings in AdS(2)xS(2)xT(6)
|
49 pages, 1 figure; v2: misprints corrected, references added
| null |
10.1088/1751-8113/44/27/275401
|
MIFPA-11-11, NORDITA-2011-30, Imperial-TP-AT-2011-2
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the type IIB Green-Schwarz superstring theory on AdS(2)xS(2)xT(6)
supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals.
One motivation is to understand the solution of this theory based on
integrability. This background is a limit of a 1/4 supersymmetric supergravity
solution describing four intersecting D3-branes and represents a consistent
embedding of AdS(2)xS(2) into critical superstring theory. Its AdS(2)xS(2) part
with corresponding fermions can be described by a classically integrable
PSU(1,1|2)/SO(1,1)xU(1) supercoset sigma-model.
We point out that since the RR 5-form field has non-zero components along the
6-torus directions one cannot, in general, factorize the 10d superstring theory
into the supercoset part plus 6 bosons and 6 additional massless fermions.
Still, we demonstrate that the full superstring model (i) is classically
integrable, at least to quadratic order in fermions, and (ii) admits a
consistent classical truncation to the supercoset part. Following the analogy
with other integrable backgrounds and starting with the finite-gap equations of
the PSU(1,1|2)/SO(1,1)xU(1) supercoset we propose a set of asymptotic Bethe
ansatz equations for a subset of the quantum string states.
|
[
{
"created": "Sun, 10 Apr 2011 18:39:28 GMT",
"version": "v1"
},
{
"created": "Thu, 19 May 2011 14:26:50 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Sorokin",
"D.",
""
],
[
"Tseytlin",
"A.",
""
],
[
"Wulff",
"L.",
""
],
[
"Zarembo",
"K.",
""
]
] |
We consider the type IIB Green-Schwarz superstring theory on AdS(2)xS(2)xT(6) supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals. One motivation is to understand the solution of this theory based on integrability. This background is a limit of a 1/4 supersymmetric supergravity solution describing four intersecting D3-branes and represents a consistent embedding of AdS(2)xS(2) into critical superstring theory. Its AdS(2)xS(2) part with corresponding fermions can be described by a classically integrable PSU(1,1|2)/SO(1,1)xU(1) supercoset sigma-model. We point out that since the RR 5-form field has non-zero components along the 6-torus directions one cannot, in general, factorize the 10d superstring theory into the supercoset part plus 6 bosons and 6 additional massless fermions. Still, we demonstrate that the full superstring model (i) is classically integrable, at least to quadratic order in fermions, and (ii) admits a consistent classical truncation to the supercoset part. Following the analogy with other integrable backgrounds and starting with the finite-gap equations of the PSU(1,1|2)/SO(1,1)xU(1) supercoset we propose a set of asymptotic Bethe ansatz equations for a subset of the quantum string states.
| 5.854389
| 5.393787
| 6.676649
| 5.685863
| 5.917588
| 5.8709
| 5.561563
| 5.273726
| 5.655363
| 7.284744
| 5.617394
| 5.756397
| 6.403018
| 5.73846
| 5.696197
| 5.638058
| 5.676732
| 5.879816
| 5.816883
| 6.166248
| 5.616599
|
1904.11445
|
Blaise Gout\'eraux
|
Andrea Amoretti, Daniel Are\'an, Blaise Gout\'eraux and Daniele Musso
|
Diffusion and universal relaxation of holographic phonons
|
v3: Typos fixed, discussion improved, version published in JHEP. v2:
minor typos fixed, references added. v1: 24 pages plus appendices, contains
an extended discussion of parts of arXiv:1812.08118 as well as new material
| null |
10.1007/JHEP10(2019)068
|
CPHT-RR018.042019;IFT-UAM/CSIC-19-55
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In phases where translations are spontaneously broken, new gapless degrees of
freedom appear in the low energy spectrum (the phonons). At long wavelengths,
they couple to small fluctuations of the conserved densities of the system.
This mixing is captured by new diffusive transport coefficients, as well as
qualitatively different collective modes, such as shear sound modes. We use
Gauge/Gravity duality to model such phases and analytically compute the
corresponding diffusivities in terms of data {of the dual background black hole
solution}. In holographic quantum critical low temperature phases, we show that
these diffusivities are governed by universal relaxation of the phonons into
the heat current when the dynamical critical exponent $z>2$. Finally, we
compute the spectrum of transverse collective modes and show that their
dispersion relation matches the dispersion relation of the shear sound modes of
the hydrodynamic theory of crystalline solids.
|
[
{
"created": "Thu, 25 Apr 2019 16:41:03 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jul 2019 10:49:18 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Sep 2019 10:55:30 GMT",
"version": "v3"
}
] |
2020-01-08
|
[
[
"Amoretti",
"Andrea",
""
],
[
"Areán",
"Daniel",
""
],
[
"Goutéraux",
"Blaise",
""
],
[
"Musso",
"Daniele",
""
]
] |
In phases where translations are spontaneously broken, new gapless degrees of freedom appear in the low energy spectrum (the phonons). At long wavelengths, they couple to small fluctuations of the conserved densities of the system. This mixing is captured by new diffusive transport coefficients, as well as qualitatively different collective modes, such as shear sound modes. We use Gauge/Gravity duality to model such phases and analytically compute the corresponding diffusivities in terms of data {of the dual background black hole solution}. In holographic quantum critical low temperature phases, we show that these diffusivities are governed by universal relaxation of the phonons into the heat current when the dynamical critical exponent $z>2$. Finally, we compute the spectrum of transverse collective modes and show that their dispersion relation matches the dispersion relation of the shear sound modes of the hydrodynamic theory of crystalline solids.
| 12.96642
| 10.856914
| 12.844098
| 10.99429
| 11.00089
| 10.267733
| 10.596279
| 11.182444
| 10.816387
| 13.11557
| 10.279642
| 10.66622
| 11.391222
| 10.57146
| 10.544393
| 10.73529
| 10.324751
| 10.270721
| 10.699445
| 10.654195
| 10.6893
|
hep-th/0504030
|
Alexander Machavariani
|
A. I. Machavariani
|
Conformal group of transformations of the quantum field operators in the
momentum space and the five dimensional Lagrangian approach
|
LATEX, 33 pages
| null | null | null |
hep-th
| null |
Conformal group of transformations in the momentum space, consisting of
translations $p'_{\mu}=p_{\mu}+h_{\mu}$, rotations
$p'_{\mu}=\Lambda^{\nu}_{\mu}p_{\nu}$, dilatation $p'_{\mu}=\lambda p_{\mu}$
and inversion $p'_{\mu}= -M^2p_{\mu}/p^2$ of the four-momentum $p_{\mu}$, is
used for the five dimensional generalization of the equations of motion for the
interacting massive particles. It is shown, that the ${\cal S}$-matrix of the
charged and the neutral particles scattering is invariant under translations in
a four-dimensional momentum space $p'_{\mu}=p_{\mu}+h_{\mu}$. In the suggested
system of equations of motion, the one-dimensional equations over the fifth
coordinate $x_5$ are separated and these one dimensional equations have the
form of the evaluation equations with $x_5=\sqrt{x_o^2-{\bf x}^2}$. The
important property of the derived five dimensional equations of motion is the
explicit separation of the parts of these equations according to the inversion
$p'_{\mu}=-M^2 p_{\mu}/p^{2}$, where $M$ is a scale constant.
|
[
{
"created": "Mon, 4 Apr 2005 17:50:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Machavariani",
"A. I.",
""
]
] |
Conformal group of transformations in the momentum space, consisting of translations $p'_{\mu}=p_{\mu}+h_{\mu}$, rotations $p'_{\mu}=\Lambda^{\nu}_{\mu}p_{\nu}$, dilatation $p'_{\mu}=\lambda p_{\mu}$ and inversion $p'_{\mu}= -M^2p_{\mu}/p^2$ of the four-momentum $p_{\mu}$, is used for the five dimensional generalization of the equations of motion for the interacting massive particles. It is shown, that the ${\cal S}$-matrix of the charged and the neutral particles scattering is invariant under translations in a four-dimensional momentum space $p'_{\mu}=p_{\mu}+h_{\mu}$. In the suggested system of equations of motion, the one-dimensional equations over the fifth coordinate $x_5$ are separated and these one dimensional equations have the form of the evaluation equations with $x_5=\sqrt{x_o^2-{\bf x}^2}$. The important property of the derived five dimensional equations of motion is the explicit separation of the parts of these equations according to the inversion $p'_{\mu}=-M^2 p_{\mu}/p^{2}$, where $M$ is a scale constant.
| 5.351194
| 5.401145
| 5.14637
| 5.072384
| 5.599971
| 5.428654
| 5.414189
| 4.93303
| 5.164568
| 5.415668
| 5.168722
| 5.065279
| 5.035704
| 5.035678
| 4.973388
| 5.145261
| 5.026689
| 5.005405
| 5.055683
| 4.928134
| 4.997409
|
hep-th/0012182
|
Masashi Naganuma
|
Kenji Ito, Masashi Naganuma, Hodaka Oda, Norisuke Sakai
|
An Exact Solution of BPS Junctions and Its Properties
|
LaTeX file, 10 page, 3 eps figure; uses espcrc2.sty (twocolumn). Talk
presented by N. Sakai at the SUSY 30 workshop in Minnesota, October 16-27,
2000. To appear in Nuclear Physics B (Proceedings Supplement). References
added
|
Nucl.Phys.Proc.Suppl. 101 (2001) 304-313
|
10.1016/S0920-5632(01)01515-8
|
TIT/HEP 460
|
hep-th hep-ph
| null |
We have obtained an exact solution for the BPS domain wall junction for a N=1
supersymmetric theory in four dimensions and studied its properties. The model
is a simplified version of the N=2 SU(2) gauge theory with N_f=1 broken to N=1
by the mass of the adjoint chiral superfield. We define mode equations and
demonstrate explicitly that fermion and boson with the same mass have to come
in pairs except massless modes. We work out explicitly massless Nambu-Goldstone
(NG) modes on the BPS domain wall junction. We find that their wave functions
extend along the wall to infinity (not localized) and are not normalizable. It
is argued that this feature is a generic phenomenon of NG modes on domain wall
junctions in the bulk flat space in any dimensions. NG fermions exhibit a
chiral structure in accordance with unitary representations of (1, 0)
supersymmetry algebra where fermion and boson with the same mass come in pairs
except massless modes which can appear singly.
|
[
{
"created": "Wed, 20 Dec 2000 03:11:06 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Dec 2000 04:52:48 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Ito",
"Kenji",
""
],
[
"Naganuma",
"Masashi",
""
],
[
"Oda",
"Hodaka",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
We have obtained an exact solution for the BPS domain wall junction for a N=1 supersymmetric theory in four dimensions and studied its properties. The model is a simplified version of the N=2 SU(2) gauge theory with N_f=1 broken to N=1 by the mass of the adjoint chiral superfield. We define mode equations and demonstrate explicitly that fermion and boson with the same mass have to come in pairs except massless modes. We work out explicitly massless Nambu-Goldstone (NG) modes on the BPS domain wall junction. We find that their wave functions extend along the wall to infinity (not localized) and are not normalizable. It is argued that this feature is a generic phenomenon of NG modes on domain wall junctions in the bulk flat space in any dimensions. NG fermions exhibit a chiral structure in accordance with unitary representations of (1, 0) supersymmetry algebra where fermion and boson with the same mass come in pairs except massless modes which can appear singly.
| 8.508959
| 7.31652
| 9.713495
| 8.113066
| 9.286179
| 7.779607
| 8.006606
| 7.957594
| 7.891492
| 10.365652
| 8.055918
| 8.286375
| 8.993418
| 8.336187
| 8.366143
| 8.325889
| 8.19964
| 8.31016
| 8.28792
| 9.133268
| 8.182788
|
1112.1323
|
She-Sheng Xue
|
She-Sheng Xue
|
The phase and critical point of quantum Einstein-Cartan gravity
|
15 pages, 7 figures, the version to appear in Phys. Lett. B. We have
clarified that Eqs. (E.5) and (E.6) of Phys. Rev. D82 (2010) 064039 were
obtained by using the strong coupling expansion in terms of (M^2_h/8g^2) =
0.1
| null |
10.1016/j.physletb.2012.04.024
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By introducing diffeomorphism and local Lorentz gauge invariant holonomy
fields, we study in the recent article [S.-S. Xue, Phys. Rev. D82 (2010)
064039] the quantum Einstein-Cartan gravity in the framework of Regge calculus.
On the basis of strong coupling expansion, mean-field approximation and
dynamical equations satisfied by holonomy fields, we present in this Letter
calculations and discussions to show the phase structure of the quantum
Einstein-Cartan gravity, (i) the order phase: long-range condensations of
holonomy fields in strong gauge couplings; (ii) the disorder phase: short-range
fluctuations of holonomy fields in weak gauge couplings. According to the
competition of the activation energy of holonomy fields and their entropy, we
give a simple estimate of the possible ultra-violet critical point and
correlation length for the second-order phase transition from the order phase
to disorder one. At this critical point, we discuss whether the continuum field
theory of quantum Einstein-Cartan gravity can be possibly approached when the
macroscopic correlation length of holonomy field condensations is much larger
than the Planck length.
|
[
{
"created": "Sat, 3 Dec 2011 19:34:08 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Feb 2012 15:40:35 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Apr 2012 17:19:40 GMT",
"version": "v3"
}
] |
2015-06-03
|
[
[
"Xue",
"She-Sheng",
""
]
] |
By introducing diffeomorphism and local Lorentz gauge invariant holonomy fields, we study in the recent article [S.-S. Xue, Phys. Rev. D82 (2010) 064039] the quantum Einstein-Cartan gravity in the framework of Regge calculus. On the basis of strong coupling expansion, mean-field approximation and dynamical equations satisfied by holonomy fields, we present in this Letter calculations and discussions to show the phase structure of the quantum Einstein-Cartan gravity, (i) the order phase: long-range condensations of holonomy fields in strong gauge couplings; (ii) the disorder phase: short-range fluctuations of holonomy fields in weak gauge couplings. According to the competition of the activation energy of holonomy fields and their entropy, we give a simple estimate of the possible ultra-violet critical point and correlation length for the second-order phase transition from the order phase to disorder one. At this critical point, we discuss whether the continuum field theory of quantum Einstein-Cartan gravity can be possibly approached when the macroscopic correlation length of holonomy field condensations is much larger than the Planck length.
| 8.370846
| 8.714192
| 8.957958
| 8.350169
| 9.191737
| 8.75416
| 8.599648
| 8.55753
| 8.062072
| 9.765316
| 7.930814
| 8.127652
| 8.136337
| 7.688021
| 8.123522
| 8.114155
| 7.949704
| 8.13398
| 8.012956
| 8.036309
| 7.873507
|
hep-th/9605029
|
Jose N. Pecina-Cruz
|
Carlos Castro ( University of Texas at Austin )
|
On the Exact Quantum Integrability of the Membrane
|
35 pages; Revised Tex file; some minor details have been added
| null | null | null |
hep-th
| null |
The exact quantum integrability problem of the membrane is investigated. It
is found that the spherical membrane moving in flat target spacetime
backgrounds is an exact quantum integrable system for a particular class of
solutions of the light-cone gauge equations of motion : a dimensionally-reduced
$SU(\infty)$ Yang-Mills theory to one temporal dimension. Crucial ingredients
are the exact integrability property of the $3D~SU(\infty)$ continuous Toda
theory and its associated dimensionally-reduced $SU(\infty)$ Toda $molecule$
equation whose symmetry algebra is the $U_\infty$ algebra obtained from a
dimensional-reducion of the $W_\infty \oplus {\bar W}_\infty$ algebras that act
naturally on the original $3D$ continuous Toda theory. The $U_\infty$ algebra
is explicitly constructed in terms of exact quantum solutions of the quantized
continuous Toda equation. Highest weight irreducible representations of the
$W_\infty$ algebras are also studied in detail. Continuous and discrete energy
levels are both found in the spectrum . Other relevant topics are discussed in
the conclusion.
|
[
{
"created": "Mon, 6 May 1996 02:03:31 GMT",
"version": "v1"
},
{
"created": "Fri, 17 May 1996 02:16:13 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Castro",
"Carlos",
"",
"University of Texas at Austin"
]
] |
The exact quantum integrability problem of the membrane is investigated. It is found that the spherical membrane moving in flat target spacetime backgrounds is an exact quantum integrable system for a particular class of solutions of the light-cone gauge equations of motion : a dimensionally-reduced $SU(\infty)$ Yang-Mills theory to one temporal dimension. Crucial ingredients are the exact integrability property of the $3D~SU(\infty)$ continuous Toda theory and its associated dimensionally-reduced $SU(\infty)$ Toda $molecule$ equation whose symmetry algebra is the $U_\infty$ algebra obtained from a dimensional-reducion of the $W_\infty \oplus {\bar W}_\infty$ algebras that act naturally on the original $3D$ continuous Toda theory. The $U_\infty$ algebra is explicitly constructed in terms of exact quantum solutions of the quantized continuous Toda equation. Highest weight irreducible representations of the $W_\infty$ algebras are also studied in detail. Continuous and discrete energy levels are both found in the spectrum . Other relevant topics are discussed in the conclusion.
| 11.515467
| 10.21872
| 12.659611
| 10.886042
| 10.652683
| 10.654901
| 11.114323
| 10.856456
| 10.302502
| 14.296397
| 10.586825
| 10.979354
| 11.659914
| 10.79875
| 10.949955
| 11.043159
| 10.877274
| 10.692977
| 10.973955
| 11.279646
| 11.12764
|
1910.09866
|
Yakov Shnir
|
Ilya Perapechka and Yakov Shnir
|
Kinks bounded by fermions
|
5 pages, 4 figures
|
Phys. Rev. D 101, 021701 (2020)
|
10.1103/PhysRevD.101.021701
| null |
hep-th nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present and study new mechanism of interaction between the solitons based
on the exchange interaction mediated by the localized fermion states. As
particular examples, we consider solutions of simple 1+1 dimensional scalar
field theories with self-interaction potentials, including sine-Gordon model
and the polynomial $\phi^4$, $\phi^6$ models, coupled to the Dirac fermions
with back-reaction. We discover that there is an additional fermion exchange
interaction between the solitons, it leads to the formation of static
multi-soliton bound states. Further, we argue that similar mechanisms of
formation of stable coupled multi-soliton configurations can be observed for a
wide class of physical systems.
|
[
{
"created": "Tue, 22 Oct 2019 09:55:48 GMT",
"version": "v1"
}
] |
2020-02-05
|
[
[
"Perapechka",
"Ilya",
""
],
[
"Shnir",
"Yakov",
""
]
] |
We present and study new mechanism of interaction between the solitons based on the exchange interaction mediated by the localized fermion states. As particular examples, we consider solutions of simple 1+1 dimensional scalar field theories with self-interaction potentials, including sine-Gordon model and the polynomial $\phi^4$, $\phi^6$ models, coupled to the Dirac fermions with back-reaction. We discover that there is an additional fermion exchange interaction between the solitons, it leads to the formation of static multi-soliton bound states. Further, we argue that similar mechanisms of formation of stable coupled multi-soliton configurations can be observed for a wide class of physical systems.
| 10.26962
| 8.90844
| 9.531831
| 9.039662
| 9.032677
| 8.35944
| 8.672985
| 8.600082
| 9.034124
| 9.445786
| 8.7098
| 9.072531
| 9.278048
| 8.761398
| 8.995005
| 9.101067
| 8.876451
| 9.024517
| 9.119463
| 9.08831
| 8.745218
|
hep-th/0501140
|
Roberto Trinchero
|
Roberto Trinchero
|
Quantum symmetries of faces models and the double triangle algebra
|
28 pages, 4 figures, new typesetting and a few corrections
|
Adv.Theor.Math.Phys.10:49-75,2006
| null | null |
hep-th math-ph math.MP math.QA
| null |
Symmetries of trigonometric integrable two dimensional statistical face
models are considered. The corresponding symmetry operators on the Hilbert
space of states of the quantum version of these models define a weak *-Hopf
algebra isomorphic to the Ocneanu double triangle algebra.
|
[
{
"created": "Tue, 18 Jan 2005 20:38:58 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Mar 2006 18:41:31 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Trinchero",
"Roberto",
""
]
] |
Symmetries of trigonometric integrable two dimensional statistical face models are considered. The corresponding symmetry operators on the Hilbert space of states of the quantum version of these models define a weak *-Hopf algebra isomorphic to the Ocneanu double triangle algebra.
| 18.058847
| 16.921858
| 21.685383
| 19.205353
| 19.962257
| 18.92837
| 18.979521
| 14.140949
| 16.834126
| 20.546284
| 16.498232
| 17.526617
| 16.050823
| 15.229727
| 16.955252
| 16.183647
| 17.7934
| 17.599451
| 15.575407
| 15.980409
| 18.251139
|
1606.06306
|
Dan Xie
|
Yifan Wang, Dan Xie, Stephen S.-T. Yau, Shing-Tung Yau
|
4d N=2 SCFT from Complete Intersection Singularity
|
46 pages, 85 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Detailed studies of four dimensional N=2 superconformal field theories (SCFT)
defined by isolated complete intersection singularities are performed: we
compute the Coulomb branch spectrum, Seiberg-Witten solutions and central
charges. Most of our theories have exactly marginal deformations and we
identify the weakly coupled gauge theory descriptions for many of them, which
involve (affine) D and E shaped quiver gauge theories and theories formed from
Argyres-Douglas matters. These investigations provide strong evidence for the
singularity approach in classifying 4d N=2 SCFTs.
|
[
{
"created": "Mon, 20 Jun 2016 20:04:02 GMT",
"version": "v1"
}
] |
2016-06-22
|
[
[
"Wang",
"Yifan",
""
],
[
"Xie",
"Dan",
""
],
[
"Yau",
"Stephen S. -T.",
""
],
[
"Yau",
"Shing-Tung",
""
]
] |
Detailed studies of four dimensional N=2 superconformal field theories (SCFT) defined by isolated complete intersection singularities are performed: we compute the Coulomb branch spectrum, Seiberg-Witten solutions and central charges. Most of our theories have exactly marginal deformations and we identify the weakly coupled gauge theory descriptions for many of them, which involve (affine) D and E shaped quiver gauge theories and theories formed from Argyres-Douglas matters. These investigations provide strong evidence for the singularity approach in classifying 4d N=2 SCFTs.
| 8.188987
| 8.207076
| 11.652841
| 8.215959
| 8.259759
| 8.260802
| 9.016463
| 7.880457
| 8.053443
| 12.930261
| 7.885028
| 7.858483
| 9.206456
| 7.84195
| 7.839533
| 7.966228
| 7.965381
| 7.775696
| 7.589818
| 8.860904
| 7.734997
|
0710.5339
|
Toshio Nakatsu
|
Toshio Nakatsu and Kanehisa Takasaki
|
Melting Crystal, Quantum Torus and Toda Hierarchy
|
Final version to be published in Commun. Math. Phys. . A new section
is added and devoted to Conclusion and discussion, where, in particular, a
possible relation with the generating function of the absolute Gromov-Witten
invariants on CP^1 is commented. Two references are added. Typos are
corrected. 32 pages. 4 figures
|
Commun.Math.Phys.285:445-468,2009
|
10.1007/s00220-008-0583-5
| null |
hep-th math-ph math.MP math.QA nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Searching for the integrable structures of supersymmetric gauge theories and
topological strings, we study melting crystal, which is known as random plane
partition, from the viewpoint of integrable systems. We show that a series of
partition functions of melting crystals gives rise to a tau function of the
one-dimensional Toda hierarchy, where the models are defined by adding suitable
potentials, endowed with a series of coupling constants, to the standard
statistical weight. These potentials can be converted to a commutative
sub-algebra of quantum torus Lie algebra. This perspective reveals a remarkable
connection between random plane partition and quantum torus Lie algebra, and
substantially enables to prove the statement. Based on the result, we briefly
argue the integrable structures of five-dimensional $\mathcal{N}=1$
supersymmetric gauge theories and $A$-model topological strings. The
aforementioned potentials correspond to gauge theory observables analogous to
the Wilson loops, and thereby the partition functions are translated in the
gauge theory to generating functions of their correlators. In topological
strings, we particularly comment on a possibility of topology change caused by
condensation of these observables, giving a simple example.
|
[
{
"created": "Mon, 29 Oct 2007 06:07:24 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jun 2008 06:53:32 GMT",
"version": "v2"
}
] |
2008-12-18
|
[
[
"Nakatsu",
"Toshio",
""
],
[
"Takasaki",
"Kanehisa",
""
]
] |
Searching for the integrable structures of supersymmetric gauge theories and topological strings, we study melting crystal, which is known as random plane partition, from the viewpoint of integrable systems. We show that a series of partition functions of melting crystals gives rise to a tau function of the one-dimensional Toda hierarchy, where the models are defined by adding suitable potentials, endowed with a series of coupling constants, to the standard statistical weight. These potentials can be converted to a commutative sub-algebra of quantum torus Lie algebra. This perspective reveals a remarkable connection between random plane partition and quantum torus Lie algebra, and substantially enables to prove the statement. Based on the result, we briefly argue the integrable structures of five-dimensional $\mathcal{N}=1$ supersymmetric gauge theories and $A$-model topological strings. The aforementioned potentials correspond to gauge theory observables analogous to the Wilson loops, and thereby the partition functions are translated in the gauge theory to generating functions of their correlators. In topological strings, we particularly comment on a possibility of topology change caused by condensation of these observables, giving a simple example.
| 10.04222
| 10.521906
| 12.856825
| 10.31604
| 10.317671
| 9.933094
| 11.247252
| 10.64359
| 9.960762
| 14.18695
| 10.357867
| 9.711513
| 11.257773
| 9.903041
| 9.854875
| 9.860373
| 10.193706
| 10.136486
| 9.870382
| 11.006035
| 10.068515
|
1712.02351
|
Hongbin Chen
|
Hongbin Chen, A. Liam Fitzpatrick, Jared Kaplan, Daliang Li
|
The AdS$_3$ Propagator and the Fate of Locality
|
42+17 pages, 7 figures
| null |
10.1007/JHEP04(2018)075
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We recently used Virasoro symmetry considerations to propose an exact formula
for a bulk proto-field $\phi$ in AdS$_3$. In this paper we study the propagator
$\langle \phi \phi \rangle$. We show that many techniques from the study of
conformal blocks can be generalized to compute it, including the semiclassical
monodromy method and both forms of the Zamolodchikov recursion relations. When
the results from recursion are expanded at large central charge, they match
gravitational perturbation theory for a free scalar field coupled to gravity in
our chosen gauge.
We find that although the propagator is finite and well-defined at long
distances, its perturbative expansion in $G_N = \frac{3}{2c}$ exhibits UV/IR
mixing effects. If we nevertheless interpret $\langle \phi \phi \rangle$ as a
probe of bulk locality, then when $G_N m_\phi \ll 1$ locality breaks down at
the new short-distance scale $\sigma_* \sim \sqrt[4]{G_N R_{AdS}^3}$. For
$\phi$ with very large bulk mass, or at small central charge, bulk locality
fails at the AdS length scale. In all cases, locality `breakdown' manifests as
singularities or branch cuts at spacelike separation arising from
non-perturbative quantum gravitational effects.
|
[
{
"created": "Wed, 6 Dec 2017 19:00:01 GMT",
"version": "v1"
}
] |
2018-05-23
|
[
[
"Chen",
"Hongbin",
""
],
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Kaplan",
"Jared",
""
],
[
"Li",
"Daliang",
""
]
] |
We recently used Virasoro symmetry considerations to propose an exact formula for a bulk proto-field $\phi$ in AdS$_3$. In this paper we study the propagator $\langle \phi \phi \rangle$. We show that many techniques from the study of conformal blocks can be generalized to compute it, including the semiclassical monodromy method and both forms of the Zamolodchikov recursion relations. When the results from recursion are expanded at large central charge, they match gravitational perturbation theory for a free scalar field coupled to gravity in our chosen gauge. We find that although the propagator is finite and well-defined at long distances, its perturbative expansion in $G_N = \frac{3}{2c}$ exhibits UV/IR mixing effects. If we nevertheless interpret $\langle \phi \phi \rangle$ as a probe of bulk locality, then when $G_N m_\phi \ll 1$ locality breaks down at the new short-distance scale $\sigma_* \sim \sqrt[4]{G_N R_{AdS}^3}$. For $\phi$ with very large bulk mass, or at small central charge, bulk locality fails at the AdS length scale. In all cases, locality `breakdown' manifests as singularities or branch cuts at spacelike separation arising from non-perturbative quantum gravitational effects.
| 8.872811
| 9.916681
| 10.992028
| 9.191037
| 9.784246
| 8.988704
| 9.172717
| 9.209208
| 9.024831
| 11.503497
| 8.921891
| 8.56583
| 9.18794
| 8.451769
| 8.865534
| 8.628268
| 8.298934
| 8.613739
| 8.569579
| 9.177186
| 8.667563
|
hep-th/9303128
| null |
Christian Grosche
|
Path Integration Via Summation of Perturbation Expansions and
Applications to Totally Reflecting Boundaries, and Potential Steps
|
8 pages, AmSTeX, SISSA/46/93/FM
|
Phys.Rev.Lett. 71 (1993) 1-4
|
10.1103/PhysRevLett.71.1
| null |
hep-th
| null |
The path integral for the propagator is expanded into a perturbation series,
which can be exactly summed in the case of $\delta$-function perturbations
giving a closed expression for the (energy-dependent) Green function. Making
the strength of the $\delta$-function perturbation infinite repulsive, produces
a totally reflecting boundary, hence giving a path integral solution in
half-spaces in terms of the corresponding Green function. The example of the
Wood-Saxon potential serves by an appropriate limiting procedure to obtain the
Green function for the step-potential and the finite potential-well in the
half-space, respectively.
|
[
{
"created": "Tue, 23 Mar 1993 15:18:59 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Grosche",
"Christian",
""
]
] |
The path integral for the propagator is expanded into a perturbation series, which can be exactly summed in the case of $\delta$-function perturbations giving a closed expression for the (energy-dependent) Green function. Making the strength of the $\delta$-function perturbation infinite repulsive, produces a totally reflecting boundary, hence giving a path integral solution in half-spaces in terms of the corresponding Green function. The example of the Wood-Saxon potential serves by an appropriate limiting procedure to obtain the Green function for the step-potential and the finite potential-well in the half-space, respectively.
| 13.415532
| 13.713818
| 14.830538
| 13.038569
| 14.349248
| 12.149961
| 12.68926
| 12.467298
| 12.513398
| 15.786269
| 12.39918
| 12.201645
| 13.25266
| 12.518032
| 12.635809
| 12.591866
| 12.843598
| 12.50887
| 12.971274
| 13.124811
| 12.507868
|
1003.3278
|
Christopher Herzog
|
Christopher P. Herzog
|
An Analytic Holographic Superconductor
|
20 pages; v2 ref, comment about non-mean field exponents added; v3
several typos fixed
|
Phys.Rev.D81:126009,2010
|
10.1103/PhysRevD.81.126009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a holographic superconductor that admits an analytic treatment
near the phase transition. In the dual 3+1 dimensional field theory, the phase
transition occurs when a scalar operator of scaling dimension two gets a vacuum
expectation value. We calculate current-current correlation functions along
with the speed of second sound near the critical temperature. We also make some
remarks about critical exponents. An analytic treatment is possible because an
underlying Heun equation describing the zero mode of the phase transition has a
polynomial solution. Amusingly, the treatment here may generalize for an order
parameter with any integer spin, and we propose a Lagrangian for a spin two
holographic superconductor.
|
[
{
"created": "Wed, 17 Mar 2010 00:59:37 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Apr 2010 15:28:28 GMT",
"version": "v2"
},
{
"created": "Sun, 16 Jan 2011 14:43:07 GMT",
"version": "v3"
}
] |
2011-01-18
|
[
[
"Herzog",
"Christopher P.",
""
]
] |
We investigate a holographic superconductor that admits an analytic treatment near the phase transition. In the dual 3+1 dimensional field theory, the phase transition occurs when a scalar operator of scaling dimension two gets a vacuum expectation value. We calculate current-current correlation functions along with the speed of second sound near the critical temperature. We also make some remarks about critical exponents. An analytic treatment is possible because an underlying Heun equation describing the zero mode of the phase transition has a polynomial solution. Amusingly, the treatment here may generalize for an order parameter with any integer spin, and we propose a Lagrangian for a spin two holographic superconductor.
| 11.558029
| 11.885786
| 11.410744
| 10.674907
| 12.083617
| 11.863149
| 10.725805
| 11.01532
| 10.648344
| 13.651129
| 10.957623
| 11.00963
| 11.574328
| 11.41798
| 11.155126
| 11.633886
| 11.000386
| 11.221012
| 11.413121
| 11.692595
| 10.901795
|
hep-th/9810170
|
Gordon W. Semenoff
|
J. Ambj{\o}rn, Yu. M. Makeenko and G. W. Semenoff
|
Thermodynamics of D0-branes in matrix theory
|
13 pages, 1 figure
|
Phys.Lett. B445 (1999) 307-315
|
10.1016/S0370-2693(98)01434-8
| null |
hep-th
| null |
We examine the matrix theory representation of D0-brane dynamics at finite
temperature. In this case, violation of supersymmetry by temperature leads to a
non-trivial static potential between D0-branes at any finite temperature. We
compute the static potential in the 1-loop approximation and show that it is
short-ranged and attractive. We compare the result with the computations in
superstring theory. We show that thermal states of D0-branes can be reproduced
by matrix theory only when certain care is taken in integration over the moduli
space of classical solutions in compactified time.
|
[
{
"created": "Thu, 22 Oct 1998 06:56:19 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ambjørn",
"J.",
""
],
[
"Makeenko",
"Yu. M.",
""
],
[
"Semenoff",
"G. W.",
""
]
] |
We examine the matrix theory representation of D0-brane dynamics at finite temperature. In this case, violation of supersymmetry by temperature leads to a non-trivial static potential between D0-branes at any finite temperature. We compute the static potential in the 1-loop approximation and show that it is short-ranged and attractive. We compare the result with the computations in superstring theory. We show that thermal states of D0-branes can be reproduced by matrix theory only when certain care is taken in integration over the moduli space of classical solutions in compactified time.
| 9.990587
| 9.31642
| 9.678232
| 8.707914
| 9.601843
| 9.432648
| 8.82929
| 8.912884
| 8.589839
| 9.976881
| 8.63619
| 8.740788
| 9.534996
| 9.235552
| 8.841411
| 9.175598
| 8.75713
| 8.979784
| 9.075705
| 9.649844
| 8.72734
|
hep-th/0108199
|
Andrey Bytsenko
|
A.A. Bytsenko, M.C. Falleiros, A.E. Goncalves and Z.G. Kuznetsova
|
Determinant Line Bundles and Topological Invariants of Hyperbolic
Geometry - Expository Remarks
|
10 pages. To appear in G@C, special issue devoted to QG, Unified
Models and Strings, to mark 100th Anniversary of Tomsk State Pedagogical
University. Editor - S.D. Odintsov
|
Grav.Cosmol. 8 (2002) 91-95
|
10.1142/S0217751X02010352
| null |
hep-th
| null |
We give some remarks on twisted determinant line bundles and Chern-Simons
topological invariants associated with real hyperbolic manifolds. Index of a
twisted Dirac operator is derived. We discuss briefly application of obtained
results in topological quantum field theory.
|
[
{
"created": "Mon, 27 Aug 2001 16:34:58 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Bytsenko",
"A. A.",
""
],
[
"Falleiros",
"M. C.",
""
],
[
"Goncalves",
"A. E.",
""
],
[
"Kuznetsova",
"Z. G.",
""
]
] |
We give some remarks on twisted determinant line bundles and Chern-Simons topological invariants associated with real hyperbolic manifolds. Index of a twisted Dirac operator is derived. We discuss briefly application of obtained results in topological quantum field theory.
| 15.117395
| 13.760145
| 12.64198
| 12.041666
| 12.904896
| 14.456582
| 12.629788
| 13.326961
| 12.745186
| 15.38902
| 11.658415
| 13.709879
| 12.952874
| 13.127925
| 12.961054
| 13.271369
| 12.927036
| 13.339881
| 13.00583
| 13.41118
| 13.625185
|
hep-th/0211226
|
David Hasler
|
David Hasler, Jens Hoppe
|
Zero Energy States of Reduced Super Yang-Mills Theories in $d+1 = 4,6$
and 10 dimensions are necessarily $Spin(d)$ invariant
| null | null | null | null |
hep-th
| null |
We consider reduced Super Yang-Mills Theory in $d+1$ dimensions, where
$d=2,3,5,9$. We present commutators to prove that for $d=3,5$ and 9 a possible
ground state must be a $Spin(d)$ singlet. We also discuss the case $d=2$, where
we give an upper bound on the total angular momentum and show that for odd
dimensional gauge group no $Spin(d)$ invariant state exists in the Hilbert
space.
|
[
{
"created": "Sat, 23 Nov 2002 19:49:54 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hasler",
"David",
""
],
[
"Hoppe",
"Jens",
""
]
] |
We consider reduced Super Yang-Mills Theory in $d+1$ dimensions, where $d=2,3,5,9$. We present commutators to prove that for $d=3,5$ and 9 a possible ground state must be a $Spin(d)$ singlet. We also discuss the case $d=2$, where we give an upper bound on the total angular momentum and show that for odd dimensional gauge group no $Spin(d)$ invariant state exists in the Hilbert space.
| 8.902787
| 9.002147
| 9.043549
| 8.112249
| 8.697216
| 8.858922
| 8.205755
| 8.265962
| 8.268393
| 9.399187
| 8.279199
| 7.86668
| 8.663522
| 8.464777
| 8.237125
| 8.259091
| 8.342668
| 8.774579
| 8.27241
| 8.551129
| 8.215014
|
1004.2346
|
Levay Peter
|
P\'eter L\'evay and Szil\'ard Szalay
|
The attractor mechanism as a distillation procedure
|
38 pages LaTex
|
Phys.Rev.D82:026002,2010
|
10.1103/PhysRevD.82.026002
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a recent paper it has been shown that for double extremal static
spherically symmetric BPS black hole solutions in the STU model the well-known
process of moduli stabilization at the horizon can be recast in a form of a
distillation procedure of a three-qubit entangled state of GHZ-type. By
studying the full flow in moduli space in this paper we investigate this
distillation procedure in more detail. We introduce a three-qubit state with
amplitudes depending on the conserved charges the warp factor, and the moduli.
We show that for the recently discovered non-BPS solutions it is possible to
see how the distillation procedure unfolds itself as we approach the horizon.
For the non-BPS seed solutions at the asymptotically Minkowski region we are
starting with a three-qubit state having seven nonequal nonvanishing amplitudes
and finally at the horizon we get a GHZ state with merely four nonvanishing
ones with equal magnitudes. The magnitude of the surviving nonvanishing
amplitudes is proportional to the macroscopic black hole entropy. A systematic
study of such attractor states shows that their properties reflect the
structure of the fake superpotential. We also demonstrate that when starting
with the very special values for the moduli corresponding to flat directions
the uniform structure at the horizon deteriorates due to errors generalizing
the usual bit flips acting on the qubits of the attractor states.
|
[
{
"created": "Wed, 14 Apr 2010 08:08:00 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Lévay",
"Péter",
""
],
[
"Szalay",
"Szilárd",
""
]
] |
In a recent paper it has been shown that for double extremal static spherically symmetric BPS black hole solutions in the STU model the well-known process of moduli stabilization at the horizon can be recast in a form of a distillation procedure of a three-qubit entangled state of GHZ-type. By studying the full flow in moduli space in this paper we investigate this distillation procedure in more detail. We introduce a three-qubit state with amplitudes depending on the conserved charges the warp factor, and the moduli. We show that for the recently discovered non-BPS solutions it is possible to see how the distillation procedure unfolds itself as we approach the horizon. For the non-BPS seed solutions at the asymptotically Minkowski region we are starting with a three-qubit state having seven nonequal nonvanishing amplitudes and finally at the horizon we get a GHZ state with merely four nonvanishing ones with equal magnitudes. The magnitude of the surviving nonvanishing amplitudes is proportional to the macroscopic black hole entropy. A systematic study of such attractor states shows that their properties reflect the structure of the fake superpotential. We also demonstrate that when starting with the very special values for the moduli corresponding to flat directions the uniform structure at the horizon deteriorates due to errors generalizing the usual bit flips acting on the qubits of the attractor states.
| 11.438813
| 12.326412
| 12.762183
| 11.223042
| 11.595114
| 11.889649
| 12.069428
| 11.7567
| 11.32273
| 14.020353
| 11.557497
| 11.162713
| 11.656228
| 11.167246
| 11.382854
| 11.051131
| 11.229539
| 11.034593
| 11.103959
| 12.043161
| 11.163309
|
2212.13968
|
Alexander A. Voronov
|
Hisham Sati, Alexander A. Voronov
|
Mysterious Triality and M-Theory
|
69 pages. This is an updated version, which takes into account
corrections and improvements of the final version of the mathematical
companion paper arXiv:2111.14810 [hep-th]
| null | null |
IPMU23-0001
|
hep-th math.AG math.AT math.QA
|
http://creativecommons.org/licenses/by/4.0/
|
In a previous paper, we introduced Mysterious Triality as an extension, via
algebraic topology in the form of rational homotopy theory, of Mysterious
Duality by Iqbal, Neitzke, and Vafa, which provides connections between
physics, in the form of dimensional reduction of M-theory, and algebraic
geometry, in the form of intersection theory on del Pezzo surfaces. The
starting point for that connection to rational homotopy theory is the
description of M-theory dynamics using the 4-sphere, via Hypothesis H. This
progresses to dimensional reduction of M-theory on tori $T^k$ with its dynamics
described via cyclic loop spaces of the 4-sphere $\mathcal{L}_c^k S^4$,
producing a series of data analogous to that given by the del Pezzo surfaces
$\mathbb{B}_k$, for $k=0, \dots, 8$.
With the mathematical constructions established in the previous paper, in
this companion physics paper we present novel connections to M-theory that
enhance the triality, including those strengthening the duality. This uncovers
interesting ties between algebraic geometry, algebraic topology, and M-theory
and provides tantalizing links. We further expand on the extension of the
duality and triality to the Kac-Moody setting.
|
[
{
"created": "Wed, 28 Dec 2022 17:28:25 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jan 2023 18:39:36 GMT",
"version": "v2"
}
] |
2023-01-10
|
[
[
"Sati",
"Hisham",
""
],
[
"Voronov",
"Alexander A.",
""
]
] |
In a previous paper, we introduced Mysterious Triality as an extension, via algebraic topology in the form of rational homotopy theory, of Mysterious Duality by Iqbal, Neitzke, and Vafa, which provides connections between physics, in the form of dimensional reduction of M-theory, and algebraic geometry, in the form of intersection theory on del Pezzo surfaces. The starting point for that connection to rational homotopy theory is the description of M-theory dynamics using the 4-sphere, via Hypothesis H. This progresses to dimensional reduction of M-theory on tori $T^k$ with its dynamics described via cyclic loop spaces of the 4-sphere $\mathcal{L}_c^k S^4$, producing a series of data analogous to that given by the del Pezzo surfaces $\mathbb{B}_k$, for $k=0, \dots, 8$. With the mathematical constructions established in the previous paper, in this companion physics paper we present novel connections to M-theory that enhance the triality, including those strengthening the duality. This uncovers interesting ties between algebraic geometry, algebraic topology, and M-theory and provides tantalizing links. We further expand on the extension of the duality and triality to the Kac-Moody setting.
| 9.265695
| 8.951971
| 11.125587
| 9.02858
| 9.286536
| 9.642076
| 9.592274
| 8.749613
| 8.950968
| 11.933634
| 9.20659
| 9.0465
| 9.644922
| 8.926047
| 8.973276
| 9.093695
| 8.904146
| 8.910851
| 9.302559
| 9.566187
| 9.103804
|
hep-th/0107168
|
Dimitra Karabali
|
Dimitra Karabali and Bunji Sakita
|
Orthogonal basis for the energy eigenfunctions of the Chern-Simons
matrix model
|
11 pages, LaTeX, minor typo corrections, section 6 slightly extended
to include more information on Jack polynomials
|
Phys.Rev. B65 (2002) 075304
|
10.1103/PhysRevB.65.075304
|
CCNY-HEP 01/06
|
hep-th cond-mat.mes-hall
| null |
We study the spectrum of the Chern-Simons matrix model and identify an
orthogonal set of states. The connection to the spectrum of the Calogero model
is discussed.
|
[
{
"created": "Fri, 20 Jul 2001 00:56:27 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Dec 2001 04:23:27 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Karabali",
"Dimitra",
""
],
[
"Sakita",
"Bunji",
""
]
] |
We study the spectrum of the Chern-Simons matrix model and identify an orthogonal set of states. The connection to the spectrum of the Calogero model is discussed.
| 11.407442
| 7.502181
| 9.257613
| 7.61682
| 7.296067
| 7.308971
| 7.921909
| 7.28106
| 7.858029
| 10.431145
| 8.322612
| 8.755112
| 9.804153
| 8.409643
| 8.38057
| 8.283372
| 8.509715
| 8.869303
| 8.586944
| 10.087001
| 8.759817
|
0805.4819
|
Hernando Quevedo
|
H. Quevedo, A. Sanchez and A. Vazquez
|
Thermodynamic systems as bosonic strings
|
New references, comments and corrections added
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply variational principles in the context of geometrothermodynamics. The
thermodynamic phase space ${\cal T}$ and the space of equilibrium states ${\cal
E}$ turn out to be described by Riemannian metrics which are invariant with
respect to Legendre transformations and satisfy the differential equations
following from the variation of a Nambu-Goto-like action. This implies that the
volume element of ${\cal E}$ is an extremal and that ${\cal E}$ and ${\cal T}$
are related by an embedding harmonic map.
We explore the physical meaning of geodesic curves in ${\cal E}$ as
describing quasi-static processes that connect different equilibrium states. We
present a Legendre invariant metric which is flat (curved) in the case of an
ideal (van der Waals) gas and satisfies Nambu-Goto equations. The method is
used to derive some new solutions which could represent particular
thermodynamic systems.
|
[
{
"created": "Fri, 30 May 2008 18:01:53 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Nov 2008 05:37:40 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Dec 2008 22:20:26 GMT",
"version": "v3"
},
{
"created": "Wed, 11 Feb 2009 01:58:51 GMT",
"version": "v4"
},
{
"created": "Wed, 9 Sep 2009 17:33:52 GMT",
"version": "v5"
}
] |
2009-09-09
|
[
[
"Quevedo",
"H.",
""
],
[
"Sanchez",
"A.",
""
],
[
"Vazquez",
"A.",
""
]
] |
We apply variational principles in the context of geometrothermodynamics. The thermodynamic phase space ${\cal T}$ and the space of equilibrium states ${\cal E}$ turn out to be described by Riemannian metrics which are invariant with respect to Legendre transformations and satisfy the differential equations following from the variation of a Nambu-Goto-like action. This implies that the volume element of ${\cal E}$ is an extremal and that ${\cal E}$ and ${\cal T}$ are related by an embedding harmonic map. We explore the physical meaning of geodesic curves in ${\cal E}$ as describing quasi-static processes that connect different equilibrium states. We present a Legendre invariant metric which is flat (curved) in the case of an ideal (van der Waals) gas and satisfies Nambu-Goto equations. The method is used to derive some new solutions which could represent particular thermodynamic systems.
| 7.34579
| 8.166436
| 7.412374
| 7.22419
| 7.378575
| 8.145903
| 7.734736
| 6.969552
| 7.535432
| 7.518597
| 7.103387
| 7.17546
| 7.158876
| 7.412123
| 7.252836
| 7.180536
| 7.125908
| 7.068738
| 7.411962
| 7.315267
| 7.052647
|
1207.0222
|
Markus Huber Q.
|
Markus Q. Huber, Axel Maas, Lorenz von Smekal
|
Two- and three-point functions in two-dimensional Landau-gauge
Yang-Mills theory: Continuum results
|
24 pages; added references, improved choices of parameters for vertex
models; identical to version published in JHEP
|
JHEP11(2012)035
|
10.1007/JHEP11(2012)035
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the Dyson-Schwinger equations for the gluon and ghost
propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two
dimensions. While this simplifies some aspects of the calculations as compared
to three and four dimensions, new complications arise due to a mixing of
different momentum regimes. As a result, the solutions for the propagators are
more sensitive to changes in the three-point functions and the ansaetze used
for them at the leading order in a vertex a expansion. Here, we therefore go
beyond this common truncation by including the ghost-gluon vertex
self-consistently for the first time, while using a model for the three-gluon
vertex which reproduces the known infrared asymptotics and the zeros at
intermediate momenta as observed on the lattice. A separate computation of the
three-gluon vertex from the results is used to confirm the stability of this
behavior a posteriori. We also present further arguments for the absence of the
decoupling solution in two dimensions. Finally, we show how in general the
infrared exponent kappa of the scaling solutions in two, three and four
dimensions can be changed by allowing an angle dependence and thus an essential
singularity of the ghost-gluon vertex in the infrared.
|
[
{
"created": "Sun, 1 Jul 2012 15:51:07 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Nov 2012 11:56:26 GMT",
"version": "v2"
}
] |
2012-11-20
|
[
[
"Huber",
"Markus Q.",
""
],
[
"Maas",
"Axel",
""
],
[
"von Smekal",
"Lorenz",
""
]
] |
We investigate the Dyson-Schwinger equations for the gluon and ghost propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two dimensions. While this simplifies some aspects of the calculations as compared to three and four dimensions, new complications arise due to a mixing of different momentum regimes. As a result, the solutions for the propagators are more sensitive to changes in the three-point functions and the ansaetze used for them at the leading order in a vertex a expansion. Here, we therefore go beyond this common truncation by including the ghost-gluon vertex self-consistently for the first time, while using a model for the three-gluon vertex which reproduces the known infrared asymptotics and the zeros at intermediate momenta as observed on the lattice. A separate computation of the three-gluon vertex from the results is used to confirm the stability of this behavior a posteriori. We also present further arguments for the absence of the decoupling solution in two dimensions. Finally, we show how in general the infrared exponent kappa of the scaling solutions in two, three and four dimensions can be changed by allowing an angle dependence and thus an essential singularity of the ghost-gluon vertex in the infrared.
| 8.646848
| 9.570067
| 8.512569
| 8.564733
| 9.075862
| 9.280627
| 9.49054
| 8.988716
| 8.463463
| 9.316035
| 8.587455
| 8.492375
| 8.549386
| 8.621826
| 8.234017
| 8.591383
| 8.6453
| 8.546457
| 8.373201
| 8.763751
| 8.373784
|
hep-th/9701048
|
Dudas
|
E. Dudas and J. Mourad
|
On the strongly coupled heterotic string
|
Latex, 14 pages, Misprints corrected
|
Phys.Lett. B400 (1997) 71-79
|
10.1016/S0370-2693(97)00335-3
|
LPTHE-Orsay 96/104,GPS 96/110
|
hep-th
| null |
We analyze in detail the anomaly cancellation conditions for the strongly
coupled $E_8 \times E_8$ heterotic string introduced by Horava and Witten and
find new features compared to the ten-dimensional Green-Schwarz mechanism. We
project onto ten dimensions the corresponding Lagrangian of the zero-mode
fields. We find that it has a simple interpretation provided by the conjectured
heterotic string/fivebrane duality. The part which originates from
eleven-dimensions is naturally described in fivebrane language. We discuss
physical couplings and scales in four dimensions.
|
[
{
"created": "Mon, 13 Jan 1997 18:46:58 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Feb 1997 15:08:18 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Dudas",
"E.",
""
],
[
"Mourad",
"J.",
""
]
] |
We analyze in detail the anomaly cancellation conditions for the strongly coupled $E_8 \times E_8$ heterotic string introduced by Horava and Witten and find new features compared to the ten-dimensional Green-Schwarz mechanism. We project onto ten dimensions the corresponding Lagrangian of the zero-mode fields. We find that it has a simple interpretation provided by the conjectured heterotic string/fivebrane duality. The part which originates from eleven-dimensions is naturally described in fivebrane language. We discuss physical couplings and scales in four dimensions.
| 12.152515
| 12.425242
| 12.290944
| 11.444419
| 11.653677
| 10.792737
| 11.699341
| 10.870502
| 10.751296
| 12.889684
| 10.895912
| 11.079339
| 11.399358
| 11.151291
| 10.877572
| 11.367903
| 11.297202
| 11.412801
| 10.863636
| 11.332049
| 11.232106
|
1406.5124
|
Eric D'Hoker
|
Eric D'Hoker and Michael Gutperle
|
Holographic Entropy and Calabi's Diastasis
|
34 pages, 3 figures
| null |
10.1007/JHEP10(2014)093
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The entanglement entropy for interfaces and junctions of two-dimensional CFTs
is evaluated on holographically dual half-BPS solutions to six-dimensional Type
4b supergravity with m anti-symmetric tensor supermultiplets. It is shown that
the moduli space for an N-junction solution projects to N points in the Kaehler
manifold SO(2,m)/( SO(2) x SO(m)). For N=2 the interface entropy is expressed
in terms of the central charge and Calabi's diastasis function on
SO(2,m)/(SO(2) x SO(m)), thereby lending support from holography to a proposal
of Bachas, Brunner, Douglas, and Rastelli. For N=3, the entanglement entropy
for a 3-junction decomposes into a sum of diastasis functions between pairs,
weighed by combinations of the three central charges, provided the flux charges
are all parallel to one another or, more generally, provided the space of flux
charges is orthogonal to the space of unattracted scalars. Under similar
assumptions for N>3, the entanglement entropy for the N-junction solves a
variational problem whose data consist of the N central charges, and the
diastasis function evaluated between pairs of N asymptotic AdS_3 x S^3 regions.
|
[
{
"created": "Thu, 19 Jun 2014 17:46:26 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Gutperle",
"Michael",
""
]
] |
The entanglement entropy for interfaces and junctions of two-dimensional CFTs is evaluated on holographically dual half-BPS solutions to six-dimensional Type 4b supergravity with m anti-symmetric tensor supermultiplets. It is shown that the moduli space for an N-junction solution projects to N points in the Kaehler manifold SO(2,m)/( SO(2) x SO(m)). For N=2 the interface entropy is expressed in terms of the central charge and Calabi's diastasis function on SO(2,m)/(SO(2) x SO(m)), thereby lending support from holography to a proposal of Bachas, Brunner, Douglas, and Rastelli. For N=3, the entanglement entropy for a 3-junction decomposes into a sum of diastasis functions between pairs, weighed by combinations of the three central charges, provided the flux charges are all parallel to one another or, more generally, provided the space of flux charges is orthogonal to the space of unattracted scalars. Under similar assumptions for N>3, the entanglement entropy for the N-junction solves a variational problem whose data consist of the N central charges, and the diastasis function evaluated between pairs of N asymptotic AdS_3 x S^3 regions.
| 10.074354
| 10.220622
| 11.880219
| 9.52899
| 9.621424
| 9.637207
| 10.331214
| 9.560608
| 9.553237
| 13.488348
| 9.536982
| 9.373378
| 10.215347
| 9.292627
| 9.528988
| 9.391773
| 9.541227
| 9.23483
| 9.379071
| 10.787147
| 9.393329
|
1910.00198
|
Stepan Sidorov Dr.
|
Stepan Sidorov
|
Hidden Supersymmetries of Deformed Supersymmetric Mechanics
|
10 pages, 3 figures. To appear in the Proceedings of the
International Conference on Integrable Systems and Quantum Symmetries
(ISQS26), 8-12 July 2019, Prague
| null |
10.1088/1742-6596/1416/1/012032
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider quantum models corresponding to superymmetrizations of the
two-dimensional harmonic oscillator based on worldline $d=1$ realizations of
the supergroup SU$(\,{\cal N}/2\,|1)$, where the number of supersymmetries
${\cal N}$ is arbitrary even number. Constructed models possess the hidden
supersymmetry SU$(\,{\cal N}/2\,|2)$. Degeneracies of energy levels are spanned
by representations of the hidden supersymmetry group.
|
[
{
"created": "Tue, 1 Oct 2019 04:23:08 GMT",
"version": "v1"
}
] |
2020-01-08
|
[
[
"Sidorov",
"Stepan",
""
]
] |
We consider quantum models corresponding to superymmetrizations of the two-dimensional harmonic oscillator based on worldline $d=1$ realizations of the supergroup SU$(\,{\cal N}/2\,|1)$, where the number of supersymmetries ${\cal N}$ is arbitrary even number. Constructed models possess the hidden supersymmetry SU$(\,{\cal N}/2\,|2)$. Degeneracies of energy levels are spanned by representations of the hidden supersymmetry group.
| 8.550377
| 8.710057
| 9.056508
| 8.196689
| 8.317416
| 7.852586
| 7.551563
| 7.793166
| 8.255792
| 8.692065
| 7.88078
| 8.002621
| 8.604316
| 7.716872
| 7.780067
| 7.754529
| 8.117781
| 7.824321
| 7.558826
| 8.517711
| 7.676238
|
1302.6348
|
Leonardo Modesto
|
Leonardo Modesto
|
Super-renormalizable Gravity
|
3 pages, proceedings of the 13th Marcel Grossmann Meeting, Stockholm,
Sweden, July 1-7, 2012
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review a class of higher derivative theories of gravity consistent at
quantum level. This class is marked by a non-polynomal entire function (form
factor), which averts extra degrees of freedom (including ghosts) and improves
the high energy behaviour of the loop amplitudes. By power counting arguments,
it is proved that the theory is super-renormalizable, i.e. only one-loop
divergences survive. At classical level, black holes and cosmological solutions
are singularity free.
|
[
{
"created": "Tue, 26 Feb 2013 07:39:35 GMT",
"version": "v1"
}
] |
2013-02-27
|
[
[
"Modesto",
"Leonardo",
""
]
] |
We review a class of higher derivative theories of gravity consistent at quantum level. This class is marked by a non-polynomal entire function (form factor), which averts extra degrees of freedom (including ghosts) and improves the high energy behaviour of the loop amplitudes. By power counting arguments, it is proved that the theory is super-renormalizable, i.e. only one-loop divergences survive. At classical level, black holes and cosmological solutions are singularity free.
| 12.879095
| 8.065556
| 11.663302
| 9.251949
| 8.515414
| 8.497169
| 8.284301
| 9.589573
| 9.203234
| 13.450223
| 9.269732
| 10.387706
| 11.462456
| 10.692501
| 10.835817
| 10.566194
| 10.566791
| 10.649276
| 11.191752
| 11.077709
| 11.051811
|
0711.1178
|
Gerald V. Dunne
|
Gerald V. Dunne
|
Functional Determinants in Quantum Field Theory
|
Plenary talk at QTS5 (Quantum Theory and Symmetries); 16 pp, 2 figs
|
J.Phys.A41:304006,2008
|
10.1088/1751-8113/41/30/304006
| null |
hep-th
| null |
Functional determinants of differential operators play a prominent role in
theoretical and mathematical physics, and in particular in quantum field
theory. They are, however, difficult to compute in non-trivial cases. For one
dimensional problems, a classical result of Gel'fand and Yaglom dramatically
simplifies the problem so that the functional determinant can be computed
without computing the spectrum of eigenvalues. Here I report recent progress in
extending this approach to higher dimensions (i.e., functional determinants of
partial differential operators), with applications in quantum field theory.
|
[
{
"created": "Wed, 7 Nov 2007 22:44:21 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Dunne",
"Gerald V.",
""
]
] |
Functional determinants of differential operators play a prominent role in theoretical and mathematical physics, and in particular in quantum field theory. They are, however, difficult to compute in non-trivial cases. For one dimensional problems, a classical result of Gel'fand and Yaglom dramatically simplifies the problem so that the functional determinant can be computed without computing the spectrum of eigenvalues. Here I report recent progress in extending this approach to higher dimensions (i.e., functional determinants of partial differential operators), with applications in quantum field theory.
| 6.848186
| 5.926459
| 6.073941
| 5.933424
| 5.982752
| 5.707755
| 5.869737
| 5.420273
| 5.438754
| 6.12586
| 5.545983
| 5.814729
| 5.895364
| 5.581094
| 5.58223
| 5.896158
| 5.718495
| 5.69533
| 5.680914
| 6.056507
| 5.828557
|
hep-th/9511201
|
Mark DE WILD Propitius
|
Mark de Wild Propitius and F. Alexander Bais
|
Discrete gauge theories
|
85+2 pages, LaTeX, 13 eps figures uuencoded. Lectures presented by
the second author at the CRM-CAP Summer School `Particles and Fields 94',
Bannf, Alberta, Canada, August 16-24, 1994. Some minor typos corrected,
references added, figures slightly changed, a discussion expanded. Postscript
version also available at http://parthe.lpthe.jussieu.fr/~mdwp
| null | null |
PAR-LPTHE 95-46 and ITFA-95-46
|
hep-th
| null |
In these lecture notes, we present a self-contained discussion of planar
gauge theories broken down to some finite residual gauge group H via the Higgs
mechanism. The main focus is on the discrete H gauge theory describing the long
distance physics of such a model. The spectrum features global H charges,
magnetic vortices and dyonic combinations. Due to the Aharonov-Bohm effect,
these particles exhibit topological interactions. Among other things, we review
the Hopf algebra related to this discrete H gauge theory, which provides an
unified description of the spin, braid and fusion properties of the particles
in this model. Exotic phenomena such as flux metamorphosis, Alice fluxes,
Cheshire charge, (non)abelian braid statistics, the generalized spin-statistics
connection and nonabelian Aharonov-Bohm scattering are explained and
illustrated by representative examples.
Preface: Broken symmetry revisited,
1 Basics: 1.1 Introduction, 1.2 Braid groups, 1.3 Z_N gauge theory, 1.3.1
Coulomb screening, 1.3.2 Survival of the Aharonov-Bohm effect, 1.3.3 Braid and
fusion properties of the spectrum, 1.4 Nonabelian discrete gauge theories,
1.4.1 Classification of stable magnetic vortices, 1.4.2 Flux metamorphosis,
1.4.3 Including matter,
2 Algebraic structure: 2.1 Quantum double, 2.2 Truncated braid groups, 2.3
Fusion, spin, braid statistics and all that...,
3 \bar{D}_2 gauge theory: 3.1 Alice in physics, 3.2 Scattering doublet
charges off Alice fluxes, 3.3 Nonabelian braid statistics, 3.A Aharonov-Bohm
scattering, 3.B B(3,4) and P(3,4),
Concluding remarks and outlook
|
[
{
"created": "Tue, 28 Nov 1995 18:38:42 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 1996 17:34:19 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Propitius",
"Mark de Wild",
""
],
[
"Bais",
"F. Alexander",
""
]
] |
In these lecture notes, we present a self-contained discussion of planar gauge theories broken down to some finite residual gauge group H via the Higgs mechanism. The main focus is on the discrete H gauge theory describing the long distance physics of such a model. The spectrum features global H charges, magnetic vortices and dyonic combinations. Due to the Aharonov-Bohm effect, these particles exhibit topological interactions. Among other things, we review the Hopf algebra related to this discrete H gauge theory, which provides an unified description of the spin, braid and fusion properties of the particles in this model. Exotic phenomena such as flux metamorphosis, Alice fluxes, Cheshire charge, (non)abelian braid statistics, the generalized spin-statistics connection and nonabelian Aharonov-Bohm scattering are explained and illustrated by representative examples. Preface: Broken symmetry revisited, 1 Basics: 1.1 Introduction, 1.2 Braid groups, 1.3 Z_N gauge theory, 1.3.1 Coulomb screening, 1.3.2 Survival of the Aharonov-Bohm effect, 1.3.3 Braid and fusion properties of the spectrum, 1.4 Nonabelian discrete gauge theories, 1.4.1 Classification of stable magnetic vortices, 1.4.2 Flux metamorphosis, 1.4.3 Including matter, 2 Algebraic structure: 2.1 Quantum double, 2.2 Truncated braid groups, 2.3 Fusion, spin, braid statistics and all that..., 3 \bar{D}_2 gauge theory: 3.1 Alice in physics, 3.2 Scattering doublet charges off Alice fluxes, 3.3 Nonabelian braid statistics, 3.A Aharonov-Bohm scattering, 3.B B(3,4) and P(3,4), Concluding remarks and outlook
| 7.150746
| 7.372901
| 8.214781
| 7.067707
| 7.102898
| 7.594907
| 7.203228
| 7.402411
| 7.331049
| 8.152134
| 6.989169
| 7.064217
| 7.209754
| 6.938402
| 7.133074
| 7.050432
| 6.977829
| 6.957037
| 6.876926
| 7.070945
| 7.004498
|
0910.1993
|
Ramond
|
Pierre Ramond
|
Still in Light-Cone Superspace
|
Invited Talk at Shifmania, St PAul-Minneapolis, May 2009
|
Int.J.Mod.Phys.A25:367-380,2010
|
10.1142/S0217751X10048676
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The recently formulated Bagger-Lambert-Gustavsson (BLG) theory in three
dimensions is described in terms of a constrained chiral superfield in
light-cone superspace. We discuss the use of Superconformal symmetry to
determine the form of its interactions, in complete analogy with N=4
SuperYang-Mills in four dimensions.
|
[
{
"created": "Sun, 11 Oct 2009 10:52:19 GMT",
"version": "v1"
}
] |
2010-02-16
|
[
[
"Ramond",
"Pierre",
""
]
] |
The recently formulated Bagger-Lambert-Gustavsson (BLG) theory in three dimensions is described in terms of a constrained chiral superfield in light-cone superspace. We discuss the use of Superconformal symmetry to determine the form of its interactions, in complete analogy with N=4 SuperYang-Mills in four dimensions.
| 7.994738
| 5.479373
| 8.228192
| 5.444502
| 5.794968
| 5.874515
| 5.141691
| 5.265634
| 5.742065
| 7.10467
| 5.355292
| 5.678711
| 6.061107
| 5.518298
| 5.467957
| 5.547144
| 5.465272
| 5.583212
| 5.675462
| 6.653045
| 5.464974
|
hep-th/9707226
|
Christophe Grojean
|
Ph Brax, C. Grojean and C.A. Savoy
|
Geometrical approach to duality in N=1 supersymmetric theories
|
14 pages, LaTex
| null | null |
CERN-TH/97-171, Saclay T97/084
|
hep-th
| null |
We investigate the geometry of the moduli spaces of dual electric and
magnetic N=1 supersymmetric field theories. Using the SU(N_c) gauge group as a
guideline we show that the electric and magnetic moduli spaces coincide for a
suitable choice of the Kahler potential of the magnetic theory. We analyse the
Kahler structure of the dual moduli spaces.
|
[
{
"created": "Mon, 28 Jul 1997 07:48:51 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Brax",
"Ph",
""
],
[
"Grojean",
"C.",
""
],
[
"Savoy",
"C. A.",
""
]
] |
We investigate the geometry of the moduli spaces of dual electric and magnetic N=1 supersymmetric field theories. Using the SU(N_c) gauge group as a guideline we show that the electric and magnetic moduli spaces coincide for a suitable choice of the Kahler potential of the magnetic theory. We analyse the Kahler structure of the dual moduli spaces.
| 8.954153
| 7.954216
| 9.744487
| 7.213898
| 7.740773
| 7.632434
| 7.972121
| 7.619687
| 6.963433
| 9.291832
| 7.684596
| 7.377915
| 7.912587
| 7.325065
| 7.619534
| 7.306051
| 7.545541
| 7.770235
| 7.426854
| 8.281297
| 7.087712
|
0809.5234
|
Arkady Tseytlin
|
M. Beccaria, V. Forini, A. Tirziu and A.A. Tseytlin
|
Structure of large spin expansion of anomalous dimensions at strong
coupling
|
43 pages. v2: minor comments added, misprints corrected; v3: one-loop
coefficients are expressed in terms of one constant not fixed by our method
of computation, conclusion about parity invariance is unchanged, note added;
v4: minor correctionsin eq (3.34) and below (3.37)
|
Nucl.Phys.B812:144-180,2009
|
10.1016/j.nuclphysb.2008.12.013
|
AEI-2008-076, HU-EP-08/31, Imperial-TP-AT-2008-4
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The anomalous dimensions of planar N=4 SYM theory operators like tr(Phi D^S
Phi) expanded in large spin S have the asymptotics \gamma= f ln S + f_c + 1/S
(f_11 ln S + f_10) + ..., where f (the universal scaling function or cusp
anomaly), f_c and f_mn are given by power series in the `t Hooft coupling
\lambda. The subleading coefficients appear to be related by the so called
functional relation and parity invariance (or reciprocity) property of the
function expressing \gamma in terms of the conformal spin of the collinear
group. Here we study the structure of such large spin expansion at strong
coupling via AdS/CFT, i.e. by using the dual description in terms of folded
spinning string in AdS_5. The large spin expansion of the classical string
energy happens to have the same structure as that of \gamma in the perturbative
gauge theory. Moreover, the functional relation and the reciprocity constraints
on the coefficients are also satisfied. We compute the leading string 1-loop
corrections to the coefficients f_c, f_11, f_10 and verify the
functional/reciprocity relations at subleading \lambda^{-1/2} order. This
provides a strong indication that these relations hold not only in weak
coupling (gauge-theory) but also in strong coupling (string-theory)
perturbative expansions.
|
[
{
"created": "Tue, 30 Sep 2008 19:04:38 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Oct 2008 18:39:21 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Dec 2008 19:02:19 GMT",
"version": "v3"
},
{
"created": "Sun, 18 Jan 2009 14:55:02 GMT",
"version": "v4"
}
] |
2009-07-13
|
[
[
"Beccaria",
"M.",
""
],
[
"Forini",
"V.",
""
],
[
"Tirziu",
"A.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
The anomalous dimensions of planar N=4 SYM theory operators like tr(Phi D^S Phi) expanded in large spin S have the asymptotics \gamma= f ln S + f_c + 1/S (f_11 ln S + f_10) + ..., where f (the universal scaling function or cusp anomaly), f_c and f_mn are given by power series in the `t Hooft coupling \lambda. The subleading coefficients appear to be related by the so called functional relation and parity invariance (or reciprocity) property of the function expressing \gamma in terms of the conformal spin of the collinear group. Here we study the structure of such large spin expansion at strong coupling via AdS/CFT, i.e. by using the dual description in terms of folded spinning string in AdS_5. The large spin expansion of the classical string energy happens to have the same structure as that of \gamma in the perturbative gauge theory. Moreover, the functional relation and the reciprocity constraints on the coefficients are also satisfied. We compute the leading string 1-loop corrections to the coefficients f_c, f_11, f_10 and verify the functional/reciprocity relations at subleading \lambda^{-1/2} order. This provides a strong indication that these relations hold not only in weak coupling (gauge-theory) but also in strong coupling (string-theory) perturbative expansions.
| 6.109107
| 6.721578
| 8.052818
| 6.261759
| 7.453755
| 7.261942
| 6.988658
| 6.80611
| 6.376009
| 8.090074
| 6.409897
| 6.119884
| 6.990567
| 6.194041
| 6.257857
| 6.204997
| 6.365574
| 6.197796
| 6.23869
| 6.749252
| 6.312117
|
1202.0170
|
Bojan Nikoli\'c
|
B. Nikolic and B. Sazdovic
|
Dirichlet boundary conditions in type IIB superstring theory and
fermionic T-duality
| null |
JHEP 06 (2012) 101
|
10.1007/JHEP06(2012)101
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article we investigate the relation between consequences of Dirichlet
boundary conditions (momenta noncommutativity and parameters of the effective
theory) and background fields of fermionic T-dual theory. We impose Dirichlet
boundary conditions on the endpoints of the open string propagating in
background of type IIB superstring theory with constant background fields. We
showed that on the solution of the boundary conditions the momenta become
noncommutative, while the coordinates commute. Fermionic T-duality is also
introduced and its relation to noncommutativity is considered. We use compact
notation so that type IIB superstring formally gets the form of the bosonic one
with Grassman variables. Then momenta noncommutativity parameters are fermionic
T-dual fields. The effective theory, the initial theory on the solution of
boundary conditions, is bilinear in the effective coordinates, odd under
world-sheet parity transformation. The effective metric is equal to the initial
one and terms with the effective Kalb-Ramond field vanish.
|
[
{
"created": "Wed, 1 Feb 2012 13:32:12 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2012 17:36:52 GMT",
"version": "v2"
}
] |
2012-07-03
|
[
[
"Nikolic",
"B.",
""
],
[
"Sazdovic",
"B.",
""
]
] |
In this article we investigate the relation between consequences of Dirichlet boundary conditions (momenta noncommutativity and parameters of the effective theory) and background fields of fermionic T-dual theory. We impose Dirichlet boundary conditions on the endpoints of the open string propagating in background of type IIB superstring theory with constant background fields. We showed that on the solution of the boundary conditions the momenta become noncommutative, while the coordinates commute. Fermionic T-duality is also introduced and its relation to noncommutativity is considered. We use compact notation so that type IIB superstring formally gets the form of the bosonic one with Grassman variables. Then momenta noncommutativity parameters are fermionic T-dual fields. The effective theory, the initial theory on the solution of boundary conditions, is bilinear in the effective coordinates, odd under world-sheet parity transformation. The effective metric is equal to the initial one and terms with the effective Kalb-Ramond field vanish.
| 11.000578
| 10.46126
| 11.418159
| 9.994671
| 11.219417
| 10.714697
| 11.649188
| 10.022531
| 10.769313
| 11.316129
| 9.814449
| 10.492571
| 11.069311
| 9.891064
| 10.364753
| 10.115735
| 9.862022
| 10.074553
| 10.237383
| 10.732884
| 10.050495
|
2005.11240
|
Joonho Kim
|
Prarit Agarwal, Sunjin Choi, Joonho Kim, Seok Kim, June Nahmgoong
|
AdS black holes and finite N indices
|
19 pages, 8 figures
|
Phys. Rev. D 103, 126006 (2021)
|
10.1103/PhysRevD.103.126006
|
QMUL-PH-20-11, SNUTP20-001, KIAS-P20020
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the index of 4d $\mathcal{N}=4$ Yang-Mills theory with $U(N)$ gauge
group, focussing on the physics of the dual BPS black holes in $AdS_5\times
S^5$. Certain aspects of these black holes can be studied from finite $N$
indices with reasonably large $N^2$. We make numerical studies of the index for
$N\leq 6$, by expanding it up to reasonably high orders in the fugacity. The
entropy of the index agrees very well with the Bekenstein-Hawking entropy of
the dual black holes, say at $N^2=25$ or $36$. Our data clarifies and supports
the recent ideas which allowed analytic studies of these black holes from the
index, such as the complex saddle points of the Legendre transformation and the
oscillating signs in the index. In particular, the complex saddle points
naturally explain the $\frac{1}{N}$-subleading oscillating patterns of the
index. We also illustrate the universality of our ideas by studying a model
given by the inverse of the MacMahon function.
|
[
{
"created": "Fri, 22 May 2020 15:43:43 GMT",
"version": "v1"
}
] |
2021-06-09
|
[
[
"Agarwal",
"Prarit",
""
],
[
"Choi",
"Sunjin",
""
],
[
"Kim",
"Joonho",
""
],
[
"Kim",
"Seok",
""
],
[
"Nahmgoong",
"June",
""
]
] |
We study the index of 4d $\mathcal{N}=4$ Yang-Mills theory with $U(N)$ gauge group, focussing on the physics of the dual BPS black holes in $AdS_5\times S^5$. Certain aspects of these black holes can be studied from finite $N$ indices with reasonably large $N^2$. We make numerical studies of the index for $N\leq 6$, by expanding it up to reasonably high orders in the fugacity. The entropy of the index agrees very well with the Bekenstein-Hawking entropy of the dual black holes, say at $N^2=25$ or $36$. Our data clarifies and supports the recent ideas which allowed analytic studies of these black holes from the index, such as the complex saddle points of the Legendre transformation and the oscillating signs in the index. In particular, the complex saddle points naturally explain the $\frac{1}{N}$-subleading oscillating patterns of the index. We also illustrate the universality of our ideas by studying a model given by the inverse of the MacMahon function.
| 9.031661
| 8.501821
| 10.289443
| 8.103821
| 7.993363
| 8.220639
| 8.348163
| 8.268673
| 8.309584
| 10.607859
| 8.39828
| 8.35269
| 9.339952
| 8.463287
| 8.361054
| 8.377793
| 8.438959
| 8.36656
| 8.416376
| 9.032938
| 8.337102
|
1001.0371
|
Xian-Hui Ge
|
Xian-Hui Ge, Sang-Jin Sin
|
Acoustic black holes for relativistic fluids
|
16 pages. typos corrected, contents expanded
|
JHEP 1006:087,2010
|
10.1007/JHEP06(2010)087
| null |
hep-th cond-mat.quant-gas cond-mat.supr-con gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a new acoustic black hole metric from the Abelian Higgs model. In
the non-relativistic limit, while the Abelian Higgs model becomes the
Ginzburg-Landau model, the metric reduces to an ordinary Unruh type. We
investigate the possibility of using (type I and II) superconductors as the
acoustic black holes. We propose to realize experimental acoustic black holes
by using spiral vortices solutions from the Navier-stokes equation in the
non-relativistic classical fluids.
|
[
{
"created": "Sun, 3 Jan 2010 13:35:32 GMT",
"version": "v1"
},
{
"created": "Thu, 13 May 2010 00:24:09 GMT",
"version": "v2"
},
{
"created": "Fri, 14 May 2010 05:46:21 GMT",
"version": "v3"
}
] |
2014-11-20
|
[
[
"Ge",
"Xian-Hui",
""
],
[
"Sin",
"Sang-Jin",
""
]
] |
We derive a new acoustic black hole metric from the Abelian Higgs model. In the non-relativistic limit, while the Abelian Higgs model becomes the Ginzburg-Landau model, the metric reduces to an ordinary Unruh type. We investigate the possibility of using (type I and II) superconductors as the acoustic black holes. We propose to realize experimental acoustic black holes by using spiral vortices solutions from the Navier-stokes equation in the non-relativistic classical fluids.
| 13.104661
| 12.644594
| 11.23398
| 11.5396
| 11.183702
| 12.349954
| 10.840947
| 11.713159
| 11.946197
| 13.290377
| 11.361272
| 11.904285
| 12.450526
| 11.638111
| 12.204097
| 11.893581
| 11.697782
| 11.281927
| 11.832844
| 12.266915
| 11.563024
|
1312.7736
|
Mokhtar Hassaine
|
Moises Bravo-Gaete and Mokhtar Hassaine
|
Lifshitz black holes with a time-dependent scalar field in Horndeski
theory
|
New version with lot of corrections
|
PhysRevD.89.104028 (2014)
|
10.1103/PhysRevD.89.104028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In arbitrary dimensions, we consider a particular Horndeski action given by
the Einstein-Hilbert Lagrangian with a cosmological constant term, while the
source part is described by a real scalar field with its usual kinetic term
together with a nonminimal kinetic coupling. In order to evade the no-hair
theorem, we look for solutions where the radial component of the conserved
current vanishes identically. Under this hypothesis, we prove that this model
can not accommodate Lifshitz solutions with a radial scalar field. This problem
is finally circumvented by turning on the time dependence of the scalar field,
and we obtain a Lifshitz black hole solution with a fixed value of the
dynamical exponent z=1/3. The same metric is also shown to satisfy the field
equations arising only from the variation of the matter source.
|
[
{
"created": "Mon, 30 Dec 2013 15:22:44 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Apr 2014 23:07:27 GMT",
"version": "v2"
}
] |
2014-06-13
|
[
[
"Bravo-Gaete",
"Moises",
""
],
[
"Hassaine",
"Mokhtar",
""
]
] |
In arbitrary dimensions, we consider a particular Horndeski action given by the Einstein-Hilbert Lagrangian with a cosmological constant term, while the source part is described by a real scalar field with its usual kinetic term together with a nonminimal kinetic coupling. In order to evade the no-hair theorem, we look for solutions where the radial component of the conserved current vanishes identically. Under this hypothesis, we prove that this model can not accommodate Lifshitz solutions with a radial scalar field. This problem is finally circumvented by turning on the time dependence of the scalar field, and we obtain a Lifshitz black hole solution with a fixed value of the dynamical exponent z=1/3. The same metric is also shown to satisfy the field equations arising only from the variation of the matter source.
| 9.380755
| 9.411992
| 9.294865
| 8.216715
| 8.83159
| 9.44857
| 9.150646
| 8.537315
| 9.152791
| 9.433573
| 8.816192
| 8.893169
| 8.914607
| 8.755019
| 8.997809
| 8.832031
| 9.024039
| 8.656344
| 9.308272
| 9.054689
| 8.692506
|
1806.01283
|
Zhuo Chen
|
Zhuo Chen, Tony Pantev, Eric Sharpe
|
Landau-Ginzburg models for certain fiber products with curves
|
17 pages; LaTeX
| null |
10.1016/j.geomphys.2018.11.012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we describe a physical realization of a family of non-compact
Kahler threefolds with trivial canonical bundle in hybrid Landau-Ginzburg
models, motivated by some recent non-Kahler solutions of Strominger systems,
and utilizing some recent ideas from GLSMs. We consider threefolds given as
fiber products of compact genus g Riemann surfaces and noncompact threefolds.
Each genus g Riemann surface is constructed using recent GLSM tricks, as a
double cover of P^1 branched over a degree 2g + 2 locus, realized via
nonperturbative effects rather than as the critical locus of a superpotential.
We focus in particular on special cases corresponding to a set of Kahler
twistor spaces of certain hyperKahler four-manifolds, specifically the twistor
spaces of R^4, C^2/Z_k, and S^1 x R^3. We check in all cases that the condition
for trivial canonical bundle arising physically matches the mathematical
constraint.
|
[
{
"created": "Mon, 4 Jun 2018 18:00:02 GMT",
"version": "v1"
}
] |
2019-01-30
|
[
[
"Chen",
"Zhuo",
""
],
[
"Pantev",
"Tony",
""
],
[
"Sharpe",
"Eric",
""
]
] |
In this paper we describe a physical realization of a family of non-compact Kahler threefolds with trivial canonical bundle in hybrid Landau-Ginzburg models, motivated by some recent non-Kahler solutions of Strominger systems, and utilizing some recent ideas from GLSMs. We consider threefolds given as fiber products of compact genus g Riemann surfaces and noncompact threefolds. Each genus g Riemann surface is constructed using recent GLSM tricks, as a double cover of P^1 branched over a degree 2g + 2 locus, realized via nonperturbative effects rather than as the critical locus of a superpotential. We focus in particular on special cases corresponding to a set of Kahler twistor spaces of certain hyperKahler four-manifolds, specifically the twistor spaces of R^4, C^2/Z_k, and S^1 x R^3. We check in all cases that the condition for trivial canonical bundle arising physically matches the mathematical constraint.
| 10.601645
| 10.392552
| 12.681158
| 9.975388
| 11.195424
| 11.230307
| 11.020318
| 9.917627
| 10.297986
| 13.441192
| 10.537102
| 9.518107
| 10.742863
| 9.944838
| 10.277243
| 9.91761
| 10.103741
| 9.767438
| 9.750546
| 10.902276
| 9.997042
|
1710.09701
|
Asuka Ito
|
Asuka Ito, Jiro Soda
|
Anisotropic Constant-roll Inflation
|
13 pages, 3 figures
|
Eur.Phys.J. C78 (2018) no.1, 55
|
10.1140/epjc/s10052-018-5534-5
|
KOBE-COSMO-17-15
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study constant-roll inflation in the presence of a gauge field coupled to
an inflaton. By imposing the constant anisotropy condition, we find new exact
anisotropic constant-roll inflationary solutions which include anisotropic
power-law inflation as a special case. We also numerically show that the new
anisotropic solutions are attractors in the phase space.
|
[
{
"created": "Thu, 26 Oct 2017 13:58:02 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Feb 2018 08:12:03 GMT",
"version": "v2"
}
] |
2018-02-13
|
[
[
"Ito",
"Asuka",
""
],
[
"Soda",
"Jiro",
""
]
] |
We study constant-roll inflation in the presence of a gauge field coupled to an inflaton. By imposing the constant anisotropy condition, we find new exact anisotropic constant-roll inflationary solutions which include anisotropic power-law inflation as a special case. We also numerically show that the new anisotropic solutions are attractors in the phase space.
| 5.208248
| 4.704935
| 4.696914
| 4.801804
| 5.080393
| 5.000774
| 5.014485
| 4.813953
| 5.069462
| 4.717509
| 4.532326
| 4.961144
| 4.899819
| 4.784429
| 4.933504
| 4.952811
| 4.996877
| 4.912808
| 4.907597
| 4.82709
| 4.517768
|
1511.03646
|
Paolo Glorioso
|
Michael Crossley, Paolo Glorioso and Hong Liu
|
Effective field theory of dissipative fluids
|
110 pages, 2 figures, v.2 references and acknowledgments added,
misprints corrected, clarifications in numerous places including a new sec.
III C. v.3 notations streamlined and got rid of tau_a, minor clarifications.
Removed Appendix G on conformal fluids which is expanded and included in
arXiv:1701.07817
| null | null |
MIT-CTP/4734
|
hep-th cond-mat.stat-mech gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop an effective field theory for dissipative fluids which governs the
dynamics of long-lived gapless modes associated with conserved quantities. The
resulting theory gives a path integral formulation of fluctuating hydrodynamics
which systematically incorporates nonlinear interactions of noises. The
dynamical variables are mappings between a "fluid spacetime" and the physical
spacetime and an essential aspect of our formulation is to identify the
appropriate symmetries in the fluid spacetime. The theory applies to nonlinear
disturbances around a general density matrix. For a thermal density matrix, we
require an additional $Z_2$ symmetry, to which we refer as the local KMS
condition. This leads to the standard constraints of hydrodynamics, as well as
a nonlinear generalization of the Onsager relations. It also leads to an
emergent supersymmetry in the classical statistical regime, and a higher
derivative deformation of supersymmetry in the full quantum regime.
|
[
{
"created": "Wed, 11 Nov 2015 20:32:34 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2016 18:40:05 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Jan 2017 18:07:19 GMT",
"version": "v3"
}
] |
2017-01-30
|
[
[
"Crossley",
"Michael",
""
],
[
"Glorioso",
"Paolo",
""
],
[
"Liu",
"Hong",
""
]
] |
We develop an effective field theory for dissipative fluids which governs the dynamics of long-lived gapless modes associated with conserved quantities. The resulting theory gives a path integral formulation of fluctuating hydrodynamics which systematically incorporates nonlinear interactions of noises. The dynamical variables are mappings between a "fluid spacetime" and the physical spacetime and an essential aspect of our formulation is to identify the appropriate symmetries in the fluid spacetime. The theory applies to nonlinear disturbances around a general density matrix. For a thermal density matrix, we require an additional $Z_2$ symmetry, to which we refer as the local KMS condition. This leads to the standard constraints of hydrodynamics, as well as a nonlinear generalization of the Onsager relations. It also leads to an emergent supersymmetry in the classical statistical regime, and a higher derivative deformation of supersymmetry in the full quantum regime.
| 10.587252
| 10.666044
| 10.934794
| 10.854215
| 10.846479
| 10.439569
| 10.435258
| 10.521221
| 10.787316
| 12.304464
| 10.499633
| 10.804807
| 10.506602
| 10.453716
| 10.505851
| 10.612175
| 10.484058
| 10.260404
| 10.523258
| 10.567418
| 10.516093
|
0802.2637
|
M. Hossein Dehghani
|
M. H. Dehghani, N. Alinejadi and S. H. Hendi
|
Topological Black Holes in Lovelock-Born-Infeld Gravity
|
14 pages
|
Phys.Rev.D77:104025,2008
|
10.1103/PhysRevD.77.104025
| null |
hep-th
|
http://creativecommons.org/licenses/publicdomain/
|
In this paper, we present topological black holes of third order Lovelock
gravity in the presence of cosmological constant and nonlinear electromagnetic
Born-Infeld field. Depending on the metric parameters, these solutions may be
interpreted as black hole solutions with inner and outer event horizons, an
extreme black hole or naked singularity. We investigate the thermodynamics of
asymptotically flat solutions and show that the thermodynamic and conserved
quantities of these black holes satisfy the first law of thermodynamic. We also
endow the Ricci flat solutions with a global rotation and calculate the finite
action and conserved quantities of these class of solutions by using the
counterterm method. We compute the entropy through the use of the Gibbs-Duhem
relation and find that the entropy obeys the area law. We obtain a Smarr-type
formula for the mass as a function of the entropy, the angular momenta, and the
charge, and compute temperature, angular velocities, and electric potential and
show that these thermodynamic quantities coincide with their values which are
computed through the use of geometry. Finally, we perform a stability analysis
for this class of solutions in both the canonical and the grand-canonical
ensemble and show that the presence of a nonlinear electromagnetic field and
higher curvature terms has no effect on the stability of the black branes, and
they are stable in the whole phase space.
|
[
{
"created": "Tue, 19 Feb 2008 11:50:20 GMT",
"version": "v1"
},
{
"created": "Sat, 24 May 2008 10:13:17 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Dehghani",
"M. H.",
""
],
[
"Alinejadi",
"N.",
""
],
[
"Hendi",
"S. H.",
""
]
] |
In this paper, we present topological black holes of third order Lovelock gravity in the presence of cosmological constant and nonlinear electromagnetic Born-Infeld field. Depending on the metric parameters, these solutions may be interpreted as black hole solutions with inner and outer event horizons, an extreme black hole or naked singularity. We investigate the thermodynamics of asymptotically flat solutions and show that the thermodynamic and conserved quantities of these black holes satisfy the first law of thermodynamic. We also endow the Ricci flat solutions with a global rotation and calculate the finite action and conserved quantities of these class of solutions by using the counterterm method. We compute the entropy through the use of the Gibbs-Duhem relation and find that the entropy obeys the area law. We obtain a Smarr-type formula for the mass as a function of the entropy, the angular momenta, and the charge, and compute temperature, angular velocities, and electric potential and show that these thermodynamic quantities coincide with their values which are computed through the use of geometry. Finally, we perform a stability analysis for this class of solutions in both the canonical and the grand-canonical ensemble and show that the presence of a nonlinear electromagnetic field and higher curvature terms has no effect on the stability of the black branes, and they are stable in the whole phase space.
| 5.841367
| 4.704764
| 5.59854
| 4.902883
| 4.850648
| 4.451195
| 4.42833
| 4.524052
| 4.658563
| 6.095769
| 4.951656
| 5.26635
| 5.820302
| 5.451044
| 5.361373
| 5.452812
| 5.305991
| 5.23253
| 5.321592
| 5.705801
| 5.360128
|
2309.00512
|
Nicki Mullins
|
Nicki Mullins, Mauricio Hippert, Lorenzo Gavassino, Jorge Noronha
|
Relativistic hydrodynamic fluctuations from an effective action:
causality, stability, and the information current
|
28 pages
| null | null | null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Causality is necessary for retarded Green's functions to remain retarded in
all inertial frames in relativity, which ensures that dissipation of
fluctuations is a Lorentz invariant concept. For first-order BDNK theories with
stochastic fluctuations, introduced via the Schwinger-Keldysh formalism, we
show that imposing causality and stability leads to correlation functions of
hydrodynamic fluctuations that only display the expected physical properties at
small frequencies and wavenumber, i.e., within the expected regime of validity
of the first-order approach. For second-order theories of Israel and Stewart
type, constructed using the information current such that entropy production is
always non-negative, a stochastic formulation is presented using the
Martin-Siggia-Rose approach where imposing causality and stability leads to
correlators with the desired properties. We also show how Green's functions can
be determined from such an action. We identify a $\mathbb{Z}_2$ symmetry,
analogous to the Kubo-Martin-Schwinger symmetry, under which this
Martin-Siggia-Rose action is invariant. This modified Kubo-Martin-Schwinger
symmetry provides a new guide for the effective action formulation of
hydrodynamic systems with dynamics not solely governed by conservation laws.
Furthermore, this symmetry ensures that the principle of detailed balance is
valid in a covariant manner. We employ the new symmetry to further clarify the
connection between the Schwinger-Keldysh and Martin-Siggia-Rose approaches,
establishing a precise link between these descriptions in second-order theories
of relativistic hydrodynamics. Finally, the modified Kubo-Martin-Schwinger
symmetry is used to determine the corresponding action describing diffusion in
Israel-Stewart theories in a general hydrodynamic frame.
|
[
{
"created": "Fri, 1 Sep 2023 14:59:59 GMT",
"version": "v1"
}
] |
2023-09-04
|
[
[
"Mullins",
"Nicki",
""
],
[
"Hippert",
"Mauricio",
""
],
[
"Gavassino",
"Lorenzo",
""
],
[
"Noronha",
"Jorge",
""
]
] |
Causality is necessary for retarded Green's functions to remain retarded in all inertial frames in relativity, which ensures that dissipation of fluctuations is a Lorentz invariant concept. For first-order BDNK theories with stochastic fluctuations, introduced via the Schwinger-Keldysh formalism, we show that imposing causality and stability leads to correlation functions of hydrodynamic fluctuations that only display the expected physical properties at small frequencies and wavenumber, i.e., within the expected regime of validity of the first-order approach. For second-order theories of Israel and Stewart type, constructed using the information current such that entropy production is always non-negative, a stochastic formulation is presented using the Martin-Siggia-Rose approach where imposing causality and stability leads to correlators with the desired properties. We also show how Green's functions can be determined from such an action. We identify a $\mathbb{Z}_2$ symmetry, analogous to the Kubo-Martin-Schwinger symmetry, under which this Martin-Siggia-Rose action is invariant. This modified Kubo-Martin-Schwinger symmetry provides a new guide for the effective action formulation of hydrodynamic systems with dynamics not solely governed by conservation laws. Furthermore, this symmetry ensures that the principle of detailed balance is valid in a covariant manner. We employ the new symmetry to further clarify the connection between the Schwinger-Keldysh and Martin-Siggia-Rose approaches, establishing a precise link between these descriptions in second-order theories of relativistic hydrodynamics. Finally, the modified Kubo-Martin-Schwinger symmetry is used to determine the corresponding action describing diffusion in Israel-Stewart theories in a general hydrodynamic frame.
| 10.699702
| 10.926375
| 10.680332
| 10.399275
| 10.80382
| 10.744779
| 10.866934
| 10.571299
| 10.234225
| 11.555298
| 10.095737
| 10.188166
| 10.213182
| 9.964855
| 10.147904
| 10.152086
| 10.228244
| 10.355825
| 10.352977
| 10.700426
| 10.30442
|
1608.01293
|
Hossein Yavartanoo
|
M.M. Sheikh-Jabbari and H. Yavartanoo
|
Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Generic AdS3
Black Holes
|
21 pages, 1 figure, minor corrections, improvements in the
presentation
|
Phys. Rev. D 95, 044007 (2017)
|
10.1103/PhysRevD.95.044007
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In [1] the horizon fluffs proposal is put forward to identify microstates of
generic non-extremal three-dimensional Banados-Teitelboim-Zanelli (BTZ) black
holes. The proposal is that black hole microstates, which were dubbed as
horizon fluffs, are states labelled by the conserved charges associated with
non-trivial diffeomorphisms on the near horizon geometry and these states are
not in the coadjoint orbits of the asymptotic Virasoro algebra at the
Brown-Henneaux central charge, associated with the BTZ black holes. It is also
known that AdS3 Einstein gravity has more general black hole solutions than the
BTZ family which are generically described by two periodic, but otherwise
arbitrary, holomorphic and anti-holomorphic functions. We show that these
general AdS3 black holes which are typically conformal descendants of the BTZ
black holes and are characterised by the associated Virasoro coadjoint orbits,
appear as coherent states in the asymptotic symmetry algebra corresponding to
the black hole family. We apply the horizon fluffs proposal to these generic
AdS3 black holes and identify the corresponding microstates. We then perform
microstate counting and compute the entropy. The entropy appears to be an orbit
invariant quantity, providing an important check for the horizon fluffs
proposal.
|
[
{
"created": "Wed, 3 Aug 2016 19:14:11 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Aug 2016 06:43:39 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Oct 2016 17:01:18 GMT",
"version": "v3"
}
] |
2017-02-15
|
[
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Yavartanoo",
"H.",
""
]
] |
In [1] the horizon fluffs proposal is put forward to identify microstates of generic non-extremal three-dimensional Banados-Teitelboim-Zanelli (BTZ) black holes. The proposal is that black hole microstates, which were dubbed as horizon fluffs, are states labelled by the conserved charges associated with non-trivial diffeomorphisms on the near horizon geometry and these states are not in the coadjoint orbits of the asymptotic Virasoro algebra at the Brown-Henneaux central charge, associated with the BTZ black holes. It is also known that AdS3 Einstein gravity has more general black hole solutions than the BTZ family which are generically described by two periodic, but otherwise arbitrary, holomorphic and anti-holomorphic functions. We show that these general AdS3 black holes which are typically conformal descendants of the BTZ black holes and are characterised by the associated Virasoro coadjoint orbits, appear as coherent states in the asymptotic symmetry algebra corresponding to the black hole family. We apply the horizon fluffs proposal to these generic AdS3 black holes and identify the corresponding microstates. We then perform microstate counting and compute the entropy. The entropy appears to be an orbit invariant quantity, providing an important check for the horizon fluffs proposal.
| 7.948504
| 7.643565
| 8.081134
| 7.280815
| 7.626431
| 7.579158
| 8.018687
| 7.723073
| 7.937821
| 9.041919
| 7.744215
| 7.597128
| 7.813747
| 7.473841
| 7.773058
| 7.5384
| 7.726394
| 7.722035
| 7.638648
| 7.9401
| 7.486856
|
1312.6374
|
Xu Xiaobao
|
Nan Bai, Yi-Hong Gao, Xiao-bao Xu
|
Note on Mutual Information between Two Intervals of Extremal BTZ
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we compute mutual information between two intervals in CFTs dual
to extremal BTZ (UV CFT) and near horizon limit of extremal BTZ (IR CFT) using
the replica technique in some limiting regimes, which can be compared with
holographic description.
|
[
{
"created": "Sun, 22 Dec 2013 12:12:27 GMT",
"version": "v1"
}
] |
2013-12-24
|
[
[
"Bai",
"Nan",
""
],
[
"Gao",
"Yi-Hong",
""
],
[
"Xu",
"Xiao-bao",
""
]
] |
In this note we compute mutual information between two intervals in CFTs dual to extremal BTZ (UV CFT) and near horizon limit of extremal BTZ (IR CFT) using the replica technique in some limiting regimes, which can be compared with holographic description.
| 15.235228
| 9.686238
| 13.666512
| 9.610069
| 8.473288
| 8.588487
| 10.088158
| 8.105418
| 9.26505
| 10.953938
| 8.990995
| 9.515834
| 10.790161
| 9.730218
| 8.994596
| 9.818929
| 8.675484
| 9.580786
| 9.741384
| 11.370741
| 9.27267
|
0808.1345
|
Waldemar Schulgin
|
Waldemar Schulgin, Jan Troost
|
Backreacted T-folds and non-geometric regions in configuration space
|
25 pages, 4 figures; v2: minor changes, reference added
|
JHEP 0812:098,2008
|
10.1088/1126-6708/2008/12/098
|
LPTENS-08/49
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide the backreaction of the T-fold doubly T-dual to a background with
NSNS three-form flux on a three-torus. We extend the backreacted T-fold to
include cases with a flux localized in one out of three directions. We analyze
the resulting monodromy domain walls and vortices. In these backgrounds, we
give an analysis of the action of T-duality on observables like charges and
Wilson surfaces. We analyze arguments for the existence of regions in the
configuration space of second quantized string theory that cannot be reduced to
geometry. Finally, by allowing for space-dependent moduli, we find a
supergravity solution which is a T-fold with hyperbolic monodromies.
|
[
{
"created": "Mon, 11 Aug 2008 16:42:36 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jan 2009 23:28:32 GMT",
"version": "v2"
}
] |
2009-01-17
|
[
[
"Schulgin",
"Waldemar",
""
],
[
"Troost",
"Jan",
""
]
] |
We provide the backreaction of the T-fold doubly T-dual to a background with NSNS three-form flux on a three-torus. We extend the backreacted T-fold to include cases with a flux localized in one out of three directions. We analyze the resulting monodromy domain walls and vortices. In these backgrounds, we give an analysis of the action of T-duality on observables like charges and Wilson surfaces. We analyze arguments for the existence of regions in the configuration space of second quantized string theory that cannot be reduced to geometry. Finally, by allowing for space-dependent moduli, we find a supergravity solution which is a T-fold with hyperbolic monodromies.
| 16.508997
| 16.974375
| 17.086029
| 14.531492
| 15.416206
| 15.548522
| 15.537946
| 15.459661
| 14.613749
| 18.390079
| 14.225116
| 13.913814
| 15.787992
| 14.593766
| 14.282285
| 13.938131
| 13.989175
| 14.445367
| 14.277893
| 15.318998
| 14.040622
|
hep-th/0011178
|
M. A. R. Osorio
|
M. A. R. Osorio, Mar\'ia Su\'arez (University of Oviedo, Asturias,
Spain)
|
On the effective character of a non abelian DBI action
|
Old section 3 suppressed, the end of old section 4 is now an
appendix. For the obssesed reader, we also stress that the work has nothing
to do with any proposal of modification for the DBI action in the non abelian
case
|
Phys.Lett. B502 (2001) 239-245
|
10.1016/S0370-2693(01)00195-2
| null |
hep-th
| null |
We study the way Lorentz covariance can be reconstructed from Matrix Theory
as a IMF description of M-theory. The problem is actually related to the
interplay between a non abelian Dirac-Born-Infeld action and Super-Yang-Mills
as its generalized non-relativistic approximation. All this physics shows up by
means of an analysis of the asymptotic expansion of the Bessel functions
$K_\nu$ that profusely appear in the computations of amplitudes at finite
temperature and solitonic calculations. We hope this might help to better
understand the issue of getting a Lorentz covariant formulation in relation
with the $N\to +\infty$ limit. There are also some computations that could be
of some interest in Relativistic Statistical Mechanics.
|
[
{
"created": "Mon, 20 Nov 2000 19:03:55 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 2000 09:47:06 GMT",
"version": "v2"
}
] |
2016-08-15
|
[
[
"Osorio",
"M. A. R.",
"",
"University of Oviedo, Asturias,\n Spain"
],
[
"Suárez",
"María",
"",
"University of Oviedo, Asturias,\n Spain"
]
] |
We study the way Lorentz covariance can be reconstructed from Matrix Theory as a IMF description of M-theory. The problem is actually related to the interplay between a non abelian Dirac-Born-Infeld action and Super-Yang-Mills as its generalized non-relativistic approximation. All this physics shows up by means of an analysis of the asymptotic expansion of the Bessel functions $K_\nu$ that profusely appear in the computations of amplitudes at finite temperature and solitonic calculations. We hope this might help to better understand the issue of getting a Lorentz covariant formulation in relation with the $N\to +\infty$ limit. There are also some computations that could be of some interest in Relativistic Statistical Mechanics.
| 15.635865
| 15.382586
| 16.690952
| 15.008916
| 15.041666
| 15.859371
| 15.169161
| 14.913071
| 15.323985
| 17.419233
| 14.292729
| 14.572894
| 15.129763
| 14.634759
| 14.755024
| 14.450464
| 14.77894
| 14.653557
| 14.456778
| 15.030852
| 14.465473
|
1910.04962
|
Kantaro Ohmori
|
Clay Cordova and Kantaro Ohmori
|
Anomaly Obstructions to Symmetry Preserving Gapped Phases
|
35 pages, 9 figures; references added
| null | null | null |
hep-th cond-mat.str-el math-ph math.AT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Anomalies are renormalization group invariants that constrain the dynamics of
quantum field theories. We show that certain anomalies for discrete global
symmetries imply that the underlying theory either spontaneously breaks its
generalized global symmetry or is gapless. We identify an obstruction,
formulated in terms of the anomaly inflow action, that must vanish if a
symmetry preserving gapped phase, i.e. a unitary topological quantum field
theory, exits with the given anomaly. Our result is similar to the $2d$
Lieb-Schultz-Mattis theorem but applies more broadly to continuum theories in
general spacetime dimension with various types of discrete symmetries including
higher-form global symmetries. As a particular application, we use our result
to prove that certain $4d$ non-abelian gauge theories at $\theta=\pi$ cannot
flow at long distances to a phase which simultaneously, preserves time-reversal
symmetry, is confining, and is gapped. We also apply our obstruction to $4d$
adjoint QCD and constrain its dynamics.
|
[
{
"created": "Fri, 11 Oct 2019 03:58:46 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2020 04:53:23 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Cordova",
"Clay",
""
],
[
"Ohmori",
"Kantaro",
""
]
] |
Anomalies are renormalization group invariants that constrain the dynamics of quantum field theories. We show that certain anomalies for discrete global symmetries imply that the underlying theory either spontaneously breaks its generalized global symmetry or is gapless. We identify an obstruction, formulated in terms of the anomaly inflow action, that must vanish if a symmetry preserving gapped phase, i.e. a unitary topological quantum field theory, exits with the given anomaly. Our result is similar to the $2d$ Lieb-Schultz-Mattis theorem but applies more broadly to continuum theories in general spacetime dimension with various types of discrete symmetries including higher-form global symmetries. As a particular application, we use our result to prove that certain $4d$ non-abelian gauge theories at $\theta=\pi$ cannot flow at long distances to a phase which simultaneously, preserves time-reversal symmetry, is confining, and is gapped. We also apply our obstruction to $4d$ adjoint QCD and constrain its dynamics.
| 8.601985
| 7.945524
| 9.265025
| 7.71513
| 7.616822
| 7.788437
| 7.312975
| 7.220691
| 7.689735
| 9.948789
| 7.081724
| 7.484772
| 7.970172
| 7.594118
| 7.655262
| 7.358676
| 7.338776
| 7.359775
| 7.430578
| 8.116716
| 7.540924
|
hep-th/0410165
|
Marcos Marino
|
Marcos Marino
|
Les Houches lectures on matrix models and topological strings
|
63 pages, 8 figures, minor corrections
| null | null |
CERN-PH-TH/2004-199
|
hep-th
| null |
In these lecture notes for the Les Houches School on Applications of Random
Matrices in Physics we give an introduction to the connections between matrix
models and topological strings. We first review some basic results of matrix
model technology and then we focus on type B topological strings. We present
the main results of Dijkgraaf and Vafa describing the spacetime string dynamics
on certain Calabi-Yau backgrounds in terms of matrix models, and we emphasize
the connection to geometric transitions and to large N gauge/string duality. We
also use matrix model technology to analyze large N Chern-Simons theory and the
Gopakumar-Vafa transition.
|
[
{
"created": "Thu, 14 Oct 2004 10:58:36 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jan 2005 15:05:17 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Jul 2005 10:18:56 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Marino",
"Marcos",
""
]
] |
In these lecture notes for the Les Houches School on Applications of Random Matrices in Physics we give an introduction to the connections between matrix models and topological strings. We first review some basic results of matrix model technology and then we focus on type B topological strings. We present the main results of Dijkgraaf and Vafa describing the spacetime string dynamics on certain Calabi-Yau backgrounds in terms of matrix models, and we emphasize the connection to geometric transitions and to large N gauge/string duality. We also use matrix model technology to analyze large N Chern-Simons theory and the Gopakumar-Vafa transition.
| 7.312869
| 7.259244
| 8.685964
| 7.150307
| 7.505412
| 7.241742
| 7.221511
| 7.340944
| 7.457524
| 7.871218
| 6.877467
| 6.777423
| 7.329353
| 7.115362
| 7.062898
| 6.890507
| 6.970136
| 6.670731
| 7.058953
| 7.480117
| 6.768504
|
hep-th/9910023
|
S. Solodukhin
|
Kostas Skenderis and Sergey N. Solodukhin
|
Quantum effective action from the AdS/CFT correspondence
|
12 pages, latex, no figures; v2: minor improvements and two
references added
|
Phys.Lett.B472:316-322,2000
|
10.1016/S0370-2693(99)01467-7
|
SPIN-1999/23
|
hep-th gr-qc math.DG
| null |
We obtain an Einstein metric of constant negative curvature given an
arbitrary boundary metric in three dimensions, and a conformally flat one given
an arbitrary conformally flat boundary metric in other dimensions. In order to
compute the on-shell value of the gravitational action for these solutions, we
propose to integrate the radial coordinate from the boundary till a critical
value where the bulk volume element vanishes. The result, which is a functional
of the boundary metric, provides a sector of the quantum effective action
common to all conformal field theories that have a gravitational description.
We verify that the so-defined boundary effective action is conformally
invariant in odd (boundary) dimensions and has the correct conformal anomaly in
even (boundary) dimensions. In three dimensions and for arbitrary static
boundary metric the bulk metric takes a rather simple form. We explicitly carry
out the computation of the corresponding effective action and find that it
equals the non-local Polyakov action.
|
[
{
"created": "Mon, 4 Oct 1999 14:57:14 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Oct 1999 12:32:58 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Skenderis",
"Kostas",
""
],
[
"Solodukhin",
"Sergey N.",
""
]
] |
We obtain an Einstein metric of constant negative curvature given an arbitrary boundary metric in three dimensions, and a conformally flat one given an arbitrary conformally flat boundary metric in other dimensions. In order to compute the on-shell value of the gravitational action for these solutions, we propose to integrate the radial coordinate from the boundary till a critical value where the bulk volume element vanishes. The result, which is a functional of the boundary metric, provides a sector of the quantum effective action common to all conformal field theories that have a gravitational description. We verify that the so-defined boundary effective action is conformally invariant in odd (boundary) dimensions and has the correct conformal anomaly in even (boundary) dimensions. In three dimensions and for arbitrary static boundary metric the bulk metric takes a rather simple form. We explicitly carry out the computation of the corresponding effective action and find that it equals the non-local Polyakov action.
| 9.575662
| 9.426866
| 10.0029
| 8.45303
| 10.121231
| 8.994108
| 9.930619
| 8.791817
| 9.142521
| 10.477574
| 8.886751
| 9.052986
| 9.396972
| 9.211912
| 9.266745
| 9.010411
| 8.970325
| 8.980879
| 9.13027
| 9.582017
| 8.973655
|
hep-th/0011277
|
Sergei Larin
|
S.A. Larin
|
The method of direct expansions of Feynman integrals
|
7 pages, latex, no figures
|
Phys.Lett. B514 (2001) 366-370
|
10.1016/S0370-2693(01)00825-5
|
INR-THSL-11-2000
|
hep-th
| null |
The universal method of expansion of integrals is suggested. It allows in
particular to derive the threshold expansion of Feynman integrals.
|
[
{
"created": "Wed, 29 Nov 2000 23:55:11 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Larin",
"S. A.",
""
]
] |
The universal method of expansion of integrals is suggested. It allows in particular to derive the threshold expansion of Feynman integrals.
| 24.694248
| 14.022677
| 14.578353
| 14.235605
| 13.197588
| 13.979566
| 14.863323
| 15.190858
| 12.012318
| 14.434157
| 14.586319
| 15.443933
| 15.456727
| 15.51113
| 15.548935
| 16.499399
| 15.803053
| 15.38631
| 15.852665
| 14.564968
| 14.857956
|
2103.06905
|
Christopher Verhaaren
|
Julian Heeck, Arvind Rajaraman, Rebecca Riley, Christopher B.
Verhaaren
|
Mapping Gauged Q-Balls
|
19 pages, 6 figures; v2: matches published version. v3: fixed typo in
Eq.(3). v4: fixed typos in Fig. 4
|
Phys. Rev. D 103, 116004 (2021)
|
10.1103/PhysRevD.103.116004
|
UCI-TR-2021-10
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Scalar field theories with particular U(1)-symmetric potentials contain
non-topological soliton solutions called Q-balls. Promoting the U(1) to a gauge
symmetry leads to the more complicated situation of gauged Q-balls. The soliton
solutions to the resulting set of nonlinear differential equations have
markedly different properties, such as a maximal possible size and charge.
Despite these differences, we discover a relation that allows one to extract
the properties of gauged Q-balls (such as the radius, charge, and energy) from
the more easily obtained properties of global Q-balls. These results provide a
new guide to understanding gauged Q-balls as well as providing simple and
accurate analytical characterization of the Q-ball properties.
|
[
{
"created": "Thu, 11 Mar 2021 19:01:49 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Apr 2021 00:03:50 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Sep 2021 21:51:48 GMT",
"version": "v3"
},
{
"created": "Tue, 13 Jun 2023 06:32:30 GMT",
"version": "v4"
}
] |
2023-06-14
|
[
[
"Heeck",
"Julian",
""
],
[
"Rajaraman",
"Arvind",
""
],
[
"Riley",
"Rebecca",
""
],
[
"Verhaaren",
"Christopher B.",
""
]
] |
Scalar field theories with particular U(1)-symmetric potentials contain non-topological soliton solutions called Q-balls. Promoting the U(1) to a gauge symmetry leads to the more complicated situation of gauged Q-balls. The soliton solutions to the resulting set of nonlinear differential equations have markedly different properties, such as a maximal possible size and charge. Despite these differences, we discover a relation that allows one to extract the properties of gauged Q-balls (such as the radius, charge, and energy) from the more easily obtained properties of global Q-balls. These results provide a new guide to understanding gauged Q-balls as well as providing simple and accurate analytical characterization of the Q-ball properties.
| 8.31537
| 7.843699
| 7.481452
| 7.355884
| 7.472491
| 7.641622
| 7.951571
| 7.596324
| 7.478403
| 8.03559
| 7.340124
| 7.983612
| 7.849275
| 7.71598
| 7.865158
| 7.904577
| 7.872153
| 7.80182
| 7.867228
| 7.807345
| 7.968775
|
1906.04489
|
Mousumi Maitra
|
Mousumi Maitra, Debaprasad Maity, Bibhas Ranjan Majhi
|
Near horizon symmetries, emergence of Goldstone modes and thermality
|
Modified version, to appear in Euro. Phys. J. Plus
|
Eur. Phys. J. Plus 135, 483 (2020)
|
10.1140/epjp/s13360-020-00451-3
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For a long time it is believed that black hole horizon are thermal and
quantum mechanical in nature. The microscopic origin of this thermality is the
main question behind our present investigation, which reveals possible
importance of near horizon symmetry. It is this symmetry which is assumed to be
spontaneously broken by the background spacetime, generates the associated
Goldstone modes. In this paper we construct a suitable classical action for
those Goldstone modes, and show that all the momentum modes experience nearly
the same inverted harmonic potential, leading to an instability. Thanks to the
recent conjectures on the chaos and thermal quantum system, particularly in the
context of an inverted harmonic oscillator system. Going into the quantum
regime, the system of large number of Goldstone modes with the aforementioned
instability is shown to be inherently thermal. Interestingly the temperature of
the system also turns out to be proportional to that of the well known horizon
temperature. Therefore, we hope our present study can illuminate an intimate
connection between the horizon symmetries and the associated Goldstone modes as
a possible mechanism of the microscopic origin of the horizon thermality.
|
[
{
"created": "Tue, 11 Jun 2019 10:43:57 GMT",
"version": "v1"
},
{
"created": "Tue, 5 May 2020 11:24:54 GMT",
"version": "v2"
}
] |
2020-08-06
|
[
[
"Maitra",
"Mousumi",
""
],
[
"Maity",
"Debaprasad",
""
],
[
"Majhi",
"Bibhas Ranjan",
""
]
] |
For a long time it is believed that black hole horizon are thermal and quantum mechanical in nature. The microscopic origin of this thermality is the main question behind our present investigation, which reveals possible importance of near horizon symmetry. It is this symmetry which is assumed to be spontaneously broken by the background spacetime, generates the associated Goldstone modes. In this paper we construct a suitable classical action for those Goldstone modes, and show that all the momentum modes experience nearly the same inverted harmonic potential, leading to an instability. Thanks to the recent conjectures on the chaos and thermal quantum system, particularly in the context of an inverted harmonic oscillator system. Going into the quantum regime, the system of large number of Goldstone modes with the aforementioned instability is shown to be inherently thermal. Interestingly the temperature of the system also turns out to be proportional to that of the well known horizon temperature. Therefore, we hope our present study can illuminate an intimate connection between the horizon symmetries and the associated Goldstone modes as a possible mechanism of the microscopic origin of the horizon thermality.
| 14.40639
| 14.950957
| 14.312623
| 13.085439
| 14.331561
| 14.024319
| 14.5618
| 13.669511
| 14.144368
| 15.87112
| 13.848345
| 14.069789
| 14.143939
| 13.859704
| 13.556542
| 13.986266
| 13.975121
| 13.672203
| 13.89727
| 14.440938
| 13.650888
|
hep-th/9809112
|
Hagen Kleinert
|
H. Kleinert, E. Babaev
|
Two Phase Transitions in Chiral Gross-Neveu Model in $2+ \epsilon$
Dimensions at Low N
|
Author Information under
http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of
paper also at
http://www.physik.fu-berlin.de/~kleinert/kleiner_re269/preprint.html
|
Phys.Lett. B438 (1998) 311-320
|
10.1016/S0370-2693(98)00983-6
| null |
hep-th
| null |
We show that the chiral Gross-Neveu model in $2+ \epsilon$ dimensions has for
a small number $N$ of fermions two phase transitions corresponding to pair
formation and pair condensation.
In the first transition, fermions and antifermions acquire spontaneously a
mass and are bound to pairs which behave like a Bose liquid in a chirally
symmetric state. In the second transition, the Bose liquid condenses into a
coherent state which breaks chiral symmetry. This suggests the possibility that
in particle physics, the generation of quark masses may also happen separately
from the breakdown of chiral symmetry.
|
[
{
"created": "Wed, 16 Sep 1998 06:18:20 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kleinert",
"H.",
""
],
[
"Babaev",
"E.",
""
]
] |
We show that the chiral Gross-Neveu model in $2+ \epsilon$ dimensions has for a small number $N$ of fermions two phase transitions corresponding to pair formation and pair condensation. In the first transition, fermions and antifermions acquire spontaneously a mass and are bound to pairs which behave like a Bose liquid in a chirally symmetric state. In the second transition, the Bose liquid condenses into a coherent state which breaks chiral symmetry. This suggests the possibility that in particle physics, the generation of quark masses may also happen separately from the breakdown of chiral symmetry.
| 8.021722
| 8.778297
| 8.489627
| 7.829925
| 8.697781
| 8.695087
| 8.644113
| 8.347795
| 7.678903
| 8.188156
| 8.145387
| 8.019418
| 8.027913
| 7.635177
| 7.727887
| 7.927457
| 7.774663
| 7.527805
| 7.803569
| 7.965263
| 7.821342
|
1505.06264
|
Mauricio Bellini
|
Jes\'us Mart\'in Romero, Mauricio Bellini (IFIMAR, CONICET & UNMdP)
|
Dyonic Reissner-Nordstr\"om black hole: extended Dirac quantization from
5D invariants
|
version accepted in Astrophys. & Space Sciences
| null | null | null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The aim of present work is to extend the application of Weitzeb\"{o}ck
Induced Matter Theory (WIMT) to a dyonic Reissner-Nordstr\"{o}m Black Hole
(RNBH), by proposing a condition compatible with a quantization relation
between gravitational mass and both magnetic and electric charges from a
geometric product defined as an invariant in 5D.
|
[
{
"created": "Sat, 23 May 2015 02:27:06 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2015 21:50:57 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Aug 2015 20:44:39 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Sep 2015 00:24:07 GMT",
"version": "v4"
}
] |
2015-09-11
|
[
[
"Romero",
"Jesús Martín",
"",
"IFIMAR, CONICET & UNMdP"
],
[
"Bellini",
"Mauricio",
"",
"IFIMAR, CONICET & UNMdP"
]
] |
The aim of present work is to extend the application of Weitzeb\"{o}ck Induced Matter Theory (WIMT) to a dyonic Reissner-Nordstr\"{o}m Black Hole (RNBH), by proposing a condition compatible with a quantization relation between gravitational mass and both magnetic and electric charges from a geometric product defined as an invariant in 5D.
| 16.012903
| 15.745336
| 11.55548
| 11.483405
| 13.505263
| 13.114704
| 16.823902
| 11.991414
| 14.622562
| 13.320827
| 15.483958
| 14.462731
| 13.085763
| 13.476418
| 14.540177
| 13.702719
| 15.512343
| 12.774616
| 12.765449
| 13.991272
| 14.991745
|
hep-th/0503158
|
Charles Suggs
|
R. L. Jaffe
|
The Casimir Effect and the Quantum Vacuum
|
9 pages, 3 figures, uses aip class and the package floatftm to float
text around figures
|
Phys.Rev. D72 (2005) 021301
|
10.1103/PhysRevD.72.021301
|
MIT-CTP-3614
|
hep-th astro-ph hep-ph quant-ph
| null |
In discussions of the cosmological constant, the Casimir effect is often
invoked as decisive evidence that the zero point energies of quantum fields are
"real''. On the contrary, Casimir effects can be formulated and Casimir forces
can be computed without reference to zero point energies. They are
relativistic, quantum forces between charges and currents. The Casimir force
(per unit area) between parallel plates vanishes as \alpha, the fine structure
constant, goes to zero, and the standard result, which appears to be
independent of \alpha, corresponds to the \alpha\to\infty limit.
|
[
{
"created": "Mon, 21 Mar 2005 19:24:29 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Jaffe",
"R. L.",
""
]
] |
In discussions of the cosmological constant, the Casimir effect is often invoked as decisive evidence that the zero point energies of quantum fields are "real''. On the contrary, Casimir effects can be formulated and Casimir forces can be computed without reference to zero point energies. They are relativistic, quantum forces between charges and currents. The Casimir force (per unit area) between parallel plates vanishes as \alpha, the fine structure constant, goes to zero, and the standard result, which appears to be independent of \alpha, corresponds to the \alpha\to\infty limit.
| 2.587708
| 7.381914
| 7.430896
| 6.398447
| 7.491579
| 7.044523
| 6.927332
| 6.580418
| 6.083116
| 7.881224
| 6.177262
| 5.69753
| 6.32679
| 5.756012
| 6.019983
| 5.878814
| 5.718099
| 5.824418
| 5.621257
| 6.209856
| 5.736572
|
hep-th/0301043
|
Igor Tyutin
|
Igor Batalin and Igor Tyutin
|
BRST-Invariant Constraint Algebra in Terms of Commutators and Quantum
Antibrackets
|
20 pages; some misprints are removed
|
Theor.Math.Phys. 138 (2004) 1-17; Teor.Mat.Fiz. 138 (2004) 3-22
|
10.1023/B:TAMP.0000010628.58719.a4
|
FIAN 03/03
|
hep-th
| null |
General structure of BRST-invariant constraint algebra is established, in its
commutator and antibracket forms, by means of formulation of algebra-generating
equations in yet more extended phase space. New ghost-type variables behave as
fields and antifields with respect to quantum antibrackets. Explicit form of
BRST-invariant gauge algebra is given in detail for rank-one theories with
Weyl- and Wick- ordered ghost sector. A gauge-fixed unitarizing Hamiltonian is
constructed, and the formalism is shown to be physically equivalent to the
standard BRST-BFV approach.
|
[
{
"created": "Wed, 8 Jan 2003 13:13:23 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jan 2003 11:23:12 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Dec 2006 14:48:47 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Batalin",
"Igor",
""
],
[
"Tyutin",
"Igor",
""
]
] |
General structure of BRST-invariant constraint algebra is established, in its commutator and antibracket forms, by means of formulation of algebra-generating equations in yet more extended phase space. New ghost-type variables behave as fields and antifields with respect to quantum antibrackets. Explicit form of BRST-invariant gauge algebra is given in detail for rank-one theories with Weyl- and Wick- ordered ghost sector. A gauge-fixed unitarizing Hamiltonian is constructed, and the formalism is shown to be physically equivalent to the standard BRST-BFV approach.
| 21.177151
| 18.193792
| 22.320162
| 19.393877
| 19.495735
| 19.014973
| 20.072344
| 19.570673
| 17.311975
| 24.067656
| 18.929098
| 18.774805
| 20.847492
| 19.356951
| 19.288363
| 19.654799
| 19.049559
| 19.354296
| 18.678482
| 19.275009
| 18.53447
|
hep-th/0511066
|
Jorge Stephany
|
N.Hatcher, A.Restuccia and J.Stephany
|
The quantum algebra of superspace
|
20 pages;changes in the nomenclature
|
Phys.Rev.D73:046008,2006
|
10.1103/PhysRevD.73.046008
|
SB/F/05-333
|
hep-th
| null |
We present the complete set of $N=1$, $D=4$ quantum algebras associated to
massive superparticles. We obtain the explicit solution of these algebras
realized in terms of unconstrained operators acting on the Hilbert space of
superfields. These solutions are expressed using the chiral, anti-chiral and
tensorial projectors which define the three irreducible representations of the
supersymmetry on the superfields. In each case the space-time variables are
non-commuting and their commutators are proportional to the internal angular
momentum of the representation. The quantum algebra associated to the chiral or
the anti-chiral projector is the one obtained by the quantization of the
Casalbuoni-Brink-Schwarz (superspin 0) massive superparticle. We present a new
superparticle action for the (superspin 1/2) case and show that their wave
functions are the ones associated to the irreducible tensor multiplet.
|
[
{
"created": "Fri, 4 Nov 2005 23:27:02 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Mar 2006 20:55:09 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Hatcher",
"N.",
""
],
[
"Restuccia",
"A.",
""
],
[
"Stephany",
"J.",
""
]
] |
We present the complete set of $N=1$, $D=4$ quantum algebras associated to massive superparticles. We obtain the explicit solution of these algebras realized in terms of unconstrained operators acting on the Hilbert space of superfields. These solutions are expressed using the chiral, anti-chiral and tensorial projectors which define the three irreducible representations of the supersymmetry on the superfields. In each case the space-time variables are non-commuting and their commutators are proportional to the internal angular momentum of the representation. The quantum algebra associated to the chiral or the anti-chiral projector is the one obtained by the quantization of the Casalbuoni-Brink-Schwarz (superspin 0) massive superparticle. We present a new superparticle action for the (superspin 1/2) case and show that their wave functions are the ones associated to the irreducible tensor multiplet.
| 7.964124
| 8.081997
| 8.719589
| 7.439281
| 7.57791
| 7.775393
| 8.048246
| 7.801189
| 7.443864
| 8.9136
| 7.512485
| 7.513621
| 7.84371
| 7.441933
| 7.575511
| 7.871554
| 7.35306
| 7.605909
| 7.536738
| 7.793798
| 7.731308
|
1205.3869
|
Jeong-Hyuck Park
|
Neil B. Copland, Sung Moon Ko and Jeong-Hyuck Park
|
Superconformal Yang-Mills quantum mechanics and Calogero model with
OSp(N|2,R) symmetry
|
1+28 pages, no figure; Refs added. To appear in JHEP
|
JHEP 07 (2012) 076
|
10.1007/JHEP07(2012)076
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In spacetime dimension two, pure Yang-Mills possesses no physical degrees of
freedom, and consequently it admits a supersymmetric extension to couple to an
arbitrary number, N say, of Majorana-Weyl gauginos. This results in (N,0) super
Yang-Mills. Further, its dimensional reduction to mechanics doubles the number
of supersymmetries, from N to N+N, to include conformal supercharges, and leads
to a superconformal Yang-Mills quantum mechanics with symmetry group
OSp(N|2,R). We comment on its connection to AdS_2 \times S^{N-1} and reduction
to a supersymmetric Calogero model.
|
[
{
"created": "Thu, 17 May 2012 07:42:30 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jul 2012 11:42:52 GMT",
"version": "v2"
}
] |
2012-07-19
|
[
[
"Copland",
"Neil B.",
""
],
[
"Ko",
"Sung Moon",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] |
In spacetime dimension two, pure Yang-Mills possesses no physical degrees of freedom, and consequently it admits a supersymmetric extension to couple to an arbitrary number, N say, of Majorana-Weyl gauginos. This results in (N,0) super Yang-Mills. Further, its dimensional reduction to mechanics doubles the number of supersymmetries, from N to N+N, to include conformal supercharges, and leads to a superconformal Yang-Mills quantum mechanics with symmetry group OSp(N|2,R). We comment on its connection to AdS_2 \times S^{N-1} and reduction to a supersymmetric Calogero model.
| 11.129307
| 10.934433
| 11.614071
| 9.673873
| 10.852887
| 11.997325
| 11.527402
| 9.796974
| 10.222623
| 13.488363
| 9.880255
| 10.184193
| 10.950179
| 10.352863
| 10.277784
| 10.530735
| 10.018928
| 10.020095
| 10.04342
| 11.188727
| 10.37818
|
hep-th/0106054
|
Bin Chen
|
Bin Chen and Feng-Li Lin
|
Holographic Cosmic Quintessence on Dilatonic Brane World
|
16pages, no figure, Latex; revised version, references added, typos
corrected, abstract and comments improved; final version, will appear in PRD
|
Phys.Rev. D65 (2002) 044007
|
10.1103/PhysRevD.65.044007
| null |
hep-th gr-qc hep-ph
| null |
Recently quintessence is proposed to explain the observation data of
supernova indicating a time-varying cosmological constant and accelerating
universe. Inspired by this and its mysterious origin, we look for the
possibility of quintessence as the holographic dark matters dominated in the
late time in the brane world scenarios. We consider both the cases of static
and moving brane in a dilaton gravity background. For the static brane we use
the Hamilton-Jacobi method motivated by holographic renormalization group to
study the intrinsic FRW cosmology on the brane and find out the constraint on
the bulk potential for the quintessence. This constraint requires a negative
slowly varying bulk potential which implies an anti-de Sitter-like bulk
geometry and could be possibly realized from the higher dimensional
supergravities or string theory. We find the similar constraint for the moving
brane cases and that the quintessence on it has the effect as a mildly
time-varying Newton constant.
|
[
{
"created": "Wed, 6 Jun 2001 16:25:11 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Jun 2001 17:23:20 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Dec 2001 18:35:20 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Chen",
"Bin",
""
],
[
"Lin",
"Feng-Li",
""
]
] |
Recently quintessence is proposed to explain the observation data of supernova indicating a time-varying cosmological constant and accelerating universe. Inspired by this and its mysterious origin, we look for the possibility of quintessence as the holographic dark matters dominated in the late time in the brane world scenarios. We consider both the cases of static and moving brane in a dilaton gravity background. For the static brane we use the Hamilton-Jacobi method motivated by holographic renormalization group to study the intrinsic FRW cosmology on the brane and find out the constraint on the bulk potential for the quintessence. This constraint requires a negative slowly varying bulk potential which implies an anti-de Sitter-like bulk geometry and could be possibly realized from the higher dimensional supergravities or string theory. We find the similar constraint for the moving brane cases and that the quintessence on it has the effect as a mildly time-varying Newton constant.
| 10.682828
| 9.987612
| 11.163932
| 10.171921
| 10.449405
| 11.57644
| 10.816897
| 10.436841
| 10.304838
| 11.674685
| 10.09294
| 10.602403
| 10.711806
| 10.204298
| 10.547814
| 10.816978
| 10.368443
| 10.600487
| 10.062987
| 10.836946
| 10.207162
|
2002.04624
|
Chrysostomos Kalousios
|
James Drummond, Jack Foster, \"Omer G\"urdo\u{g}an, Chrysostomos
Kalousios
|
Tropical fans, scattering equations and amplitudes
|
31 pages
| null |
10.1007/JHEP11(2021)071
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a family of tropical fans related to Grassmannian cluster
algebras. These fans are related to the kinematic space of massless scattering
processes in a number of ways. For each fan associated to the Grassmannian
${\rm Gr}(k,n)$ there is a notion of a generalised $\phi^3$ amplitude and an
associated set of scattering equations which further generalise the ${\rm
Gr}(k,n)$ scattering equations that have been recently introduced. Here we
focus mostly on the cases related to finite Grassmannian cluster algebras and
we explain how face variables for the cluster polytopes are simply related to
the scattering equations. For the Grassmannians ${\rm Gr}(4,n)$ the tropical
fans we describe are related to the singularities (or symbol letters) of loop
amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory. We show how each
choice of tropical fan leads to a natural class of polylogarithms, generalising
the notion of cluster adjacency and we describe how the currently known loop
data fit into this classification.
|
[
{
"created": "Tue, 11 Feb 2020 19:00:15 GMT",
"version": "v1"
}
] |
2021-11-24
|
[
[
"Drummond",
"James",
""
],
[
"Foster",
"Jack",
""
],
[
"Gürdoğan",
"Ömer",
""
],
[
"Kalousios",
"Chrysostomos",
""
]
] |
We describe a family of tropical fans related to Grassmannian cluster algebras. These fans are related to the kinematic space of massless scattering processes in a number of ways. For each fan associated to the Grassmannian ${\rm Gr}(k,n)$ there is a notion of a generalised $\phi^3$ amplitude and an associated set of scattering equations which further generalise the ${\rm Gr}(k,n)$ scattering equations that have been recently introduced. Here we focus mostly on the cases related to finite Grassmannian cluster algebras and we explain how face variables for the cluster polytopes are simply related to the scattering equations. For the Grassmannians ${\rm Gr}(4,n)$ the tropical fans we describe are related to the singularities (or symbol letters) of loop amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory. We show how each choice of tropical fan leads to a natural class of polylogarithms, generalising the notion of cluster adjacency and we describe how the currently known loop data fit into this classification.
| 8.801469
| 8.031535
| 9.405309
| 8.390121
| 8.422626
| 8.438025
| 8.577383
| 7.901022
| 7.79434
| 10.386408
| 8.466764
| 8.473578
| 8.716491
| 8.164201
| 8.249114
| 8.174422
| 8.56019
| 8.40733
| 7.933958
| 8.829027
| 8.055826
|
hep-th/9609028
|
Izumi Joichi
|
M. Hotta, H. Inoue, I. Joichi and M. Tanaka
|
High Momentum Behavior of Geometric Bremsstrahlung in the Expanding
Universe
|
27 pages, LATEX file
|
Prog.Theor.Phys. 96 (1996) 1103-1122
|
10.1143/PTP.96.1103
|
TU/96/496
|
hep-th
| null |
We shall discuss various kinds of geometric bremsstrahlung processes in the
spatially flat Robertson-Walker universe. Despite that the temperature of the
universe is much higher than particle masses and the Hubble parameter, the
transition probability of these processes do not vanish. It is also pointed out
that explicit forms of the probability possess a new duality with respect to
scale factor of background geometry.
|
[
{
"created": "Tue, 3 Sep 1996 01:25:38 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Hotta",
"M.",
""
],
[
"Inoue",
"H.",
""
],
[
"Joichi",
"I.",
""
],
[
"Tanaka",
"M.",
""
]
] |
We shall discuss various kinds of geometric bremsstrahlung processes in the spatially flat Robertson-Walker universe. Despite that the temperature of the universe is much higher than particle masses and the Hubble parameter, the transition probability of these processes do not vanish. It is also pointed out that explicit forms of the probability possess a new duality with respect to scale factor of background geometry.
| 15.765819
| 16.617392
| 14.867998
| 13.540533
| 16.681305
| 15.079551
| 14.317795
| 15.292549
| 15.653645
| 15.297056
| 14.136928
| 15.369337
| 14.65325
| 15.022241
| 15.265513
| 15.451513
| 15.243869
| 15.431029
| 15.052352
| 14.618248
| 15.453868
|
1312.3006
|
Bret Underwood
|
Bret Underwood, Yunxiao Zhai
|
Non-Linear Resonance in Relativistic Preheating
|
17 pages, 10 figures. v2: Added references. v3: Added some
references, additional discussion on particle production
|
JCAP 04 (2014) 002
|
10.1088/1475-7516/2014/04/002
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inflation in the early Universe can be followed by a brief period of
preheating, resulting in rapid and non-equilibrium particle production through
the dynamics of parametric resonance. However, the parametric resonance effect
is very sensitive to the linearity of the reheating sector. Additional
self-interactions in the reheating sector, such as non-canonical kinetic terms
like the DBI Lagrangian, may enhance or frustrate the parametric resonance
effect of preheating. In the case of a DBI reheating sector, preheating is
described by parametric resonance of a damped relativistic harmonic oscillator.
In this paper, we illustrate how the non-linear terms in the relativistic
oscillator shut down the parametric resonance effect. This limits the
effectiveness of preheating when there are non-linear self-interactions.
|
[
{
"created": "Wed, 11 Dec 2013 00:30:45 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jan 2014 00:08:49 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Apr 2014 16:20:55 GMT",
"version": "v3"
}
] |
2014-04-03
|
[
[
"Underwood",
"Bret",
""
],
[
"Zhai",
"Yunxiao",
""
]
] |
Inflation in the early Universe can be followed by a brief period of preheating, resulting in rapid and non-equilibrium particle production through the dynamics of parametric resonance. However, the parametric resonance effect is very sensitive to the linearity of the reheating sector. Additional self-interactions in the reheating sector, such as non-canonical kinetic terms like the DBI Lagrangian, may enhance or frustrate the parametric resonance effect of preheating. In the case of a DBI reheating sector, preheating is described by parametric resonance of a damped relativistic harmonic oscillator. In this paper, we illustrate how the non-linear terms in the relativistic oscillator shut down the parametric resonance effect. This limits the effectiveness of preheating when there are non-linear self-interactions.
| 7.262489
| 7.625855
| 7.232571
| 6.974364
| 7.535589
| 7.598228
| 7.625803
| 7.410442
| 6.892387
| 7.634791
| 6.912209
| 6.930088
| 6.75346
| 6.704928
| 6.876372
| 6.824441
| 6.86563
| 6.860754
| 6.83374
| 6.948458
| 6.688004
|
2012.07710
|
Karunava Sil
|
Karunava Sil
|
Pole skipping and chaos in anisotropic plasma: a holographic study
|
41 pages, 3 figures, Conclusion modified, Accepted for publication in
JHEP
| null |
10.1007/JHEP03(2021)232
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Recently, a direct signature of chaos in many body system has been realized
from the energy density retarded Green's function using the phenomenon of `pole
skipping'. Moreover, special locations in the complex frequency and momentum
plane are found, known as the pole skipping points such that the retarded
Green's function can not be defined uniquely there. In this paper, we compute
the correction/shift to the pole skipping points due to a spatial anisotropy in
a holographic system by performing near horizon analysis of EOMs involving
different bulk field perturbations, namely the scalar, the axion and the metric
field. For vector and scalar modes of metric perturbations we construct the
gauge invariant variable in order to obtain the master equation. Two separate
cases for every bulk field EOMs is considered with the fluctuation propagating
parallel and perpendicular to the direction of anisotropy. We compute the
dispersion relation for momentum diffusion along the transverse direction in
the shear channel and show that it passes through the first three successive
pole skipping points. The pole skipping phenomenon in the sound channel is
found to occur in the upper half plane such that the parameters Lyapunov
exponent $\lambda_{L}$ and the butterfly velocity $v_{B}$ are explicitly
obtained thus establishing the connection with many body chaos.
|
[
{
"created": "Mon, 14 Dec 2020 17:02:42 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2020 16:14:53 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Feb 2021 18:36:34 GMT",
"version": "v3"
}
] |
2021-04-07
|
[
[
"Sil",
"Karunava",
""
]
] |
Recently, a direct signature of chaos in many body system has been realized from the energy density retarded Green's function using the phenomenon of `pole skipping'. Moreover, special locations in the complex frequency and momentum plane are found, known as the pole skipping points such that the retarded Green's function can not be defined uniquely there. In this paper, we compute the correction/shift to the pole skipping points due to a spatial anisotropy in a holographic system by performing near horizon analysis of EOMs involving different bulk field perturbations, namely the scalar, the axion and the metric field. For vector and scalar modes of metric perturbations we construct the gauge invariant variable in order to obtain the master equation. Two separate cases for every bulk field EOMs is considered with the fluctuation propagating parallel and perpendicular to the direction of anisotropy. We compute the dispersion relation for momentum diffusion along the transverse direction in the shear channel and show that it passes through the first three successive pole skipping points. The pole skipping phenomenon in the sound channel is found to occur in the upper half plane such that the parameters Lyapunov exponent $\lambda_{L}$ and the butterfly velocity $v_{B}$ are explicitly obtained thus establishing the connection with many body chaos.
| 14.266654
| 12.332411
| 15.479127
| 12.330789
| 13.660984
| 12.789186
| 13.207724
| 12.580688
| 12.953276
| 15.207897
| 12.22777
| 13.255614
| 13.817292
| 12.687675
| 13.031105
| 13.03916
| 13.009928
| 12.855366
| 12.845347
| 13.778562
| 12.776603
|
hep-th/0608097
|
Yannick Meurice
|
Y. Meurice
|
At Which Order Should we Truncate Perturbative Series?
|
7 pages, 2 figs., talk given at Continuous Advances in QCD 2006
| null |
10.1142/9789812708267_0037
| null |
hep-th hep-ph
| null |
Perturbative coefficients grow factorially with the order and one needs a
prescription to truncate the series in order to obtain a finite result. A
common prescription consists in dropping the smallest contribution at a given
coupling and all the higher orders terms. We discuss the error associated with
this procedure. We advocate a more systematic approach which consists in
controlling the large field configurations in the functional integral. We
summarize our best understanding of these issues for lattice QCD in the
quenched approximation and their connection with convergence problems found in
the continuum.
|
[
{
"created": "Tue, 15 Aug 2006 03:08:14 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Meurice",
"Y.",
""
]
] |
Perturbative coefficients grow factorially with the order and one needs a prescription to truncate the series in order to obtain a finite result. A common prescription consists in dropping the smallest contribution at a given coupling and all the higher orders terms. We discuss the error associated with this procedure. We advocate a more systematic approach which consists in controlling the large field configurations in the functional integral. We summarize our best understanding of these issues for lattice QCD in the quenched approximation and their connection with convergence problems found in the continuum.
| 14.234879
| 15.512427
| 12.982267
| 12.575581
| 14.977406
| 14.330755
| 14.342151
| 15.362713
| 12.784306
| 14.112361
| 14.024068
| 13.865492
| 13.113959
| 12.714959
| 14.080195
| 12.929958
| 12.981144
| 13.508217
| 12.848253
| 13.052217
| 13.48042
|
hep-th/0412228
|
Matthias Blau
|
Matthias Blau, Monica Borunda, Martin O'Loughlin
|
On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves
|
15 pages, LaTeX2e, v2: JHEP3.cls, one reference added
|
JHEP 0510 (2005) 047
|
10.1088/1126-6708/2005/10/047
| null |
hep-th
| null |
As a step towards understanding the properties of string theory in
time-dependent and singular spacetimes, we study the divergence of density
operators for string ensembles in singular scale-invariant plane waves, i.e.
those plane waves that arise as the Penrose limits of generic power-law
spacetime singularities. We show that the scale invariance implies that the
Hagedorn behaviour of bosonic and supersymmetric strings in these backgrounds,
even with the inclusion of RR or NS fields, is the same as that of strings in
flat space. This is in marked contrast to the behaviour of strings in the BFHP
plane wave which exhibit quantitatively and qualitatively different
thermodynamic properties.
|
[
{
"created": "Mon, 20 Dec 2004 15:05:09 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Feb 2005 14:20:14 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Blau",
"Matthias",
""
],
[
"Borunda",
"Monica",
""
],
[
"O'Loughlin",
"Martin",
""
]
] |
As a step towards understanding the properties of string theory in time-dependent and singular spacetimes, we study the divergence of density operators for string ensembles in singular scale-invariant plane waves, i.e. those plane waves that arise as the Penrose limits of generic power-law spacetime singularities. We show that the scale invariance implies that the Hagedorn behaviour of bosonic and supersymmetric strings in these backgrounds, even with the inclusion of RR or NS fields, is the same as that of strings in flat space. This is in marked contrast to the behaviour of strings in the BFHP plane wave which exhibit quantitatively and qualitatively different thermodynamic properties.
| 10.31502
| 9.113115
| 11.630708
| 8.836951
| 9.430943
| 8.256101
| 8.570035
| 8.792283
| 9.101206
| 12.43692
| 8.881078
| 9.596736
| 10.138272
| 9.407359
| 9.198215
| 9.202894
| 9.326221
| 9.282014
| 9.16283
| 10.449233
| 9.213141
|
1004.1392
|
Pierre Vanhove
|
Pierre Vanhove
|
The critical ultraviolet behaviour of N=8 supergravity amplitudes
|
latex. 5 pages. v2: Added references and minor changes
| null | null |
IHES/P/10/13, IPHT-T-/10/045
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the critical ultraviolet behaviour of the four-graviton amplitude
in N=8 supergravity to all order in perturbation. We use the
Bern-Carrasco-Johansson diagrammatic expansion for N=8 supergravity multiloop
amplitudes, where numerator factors are squares of the Lorentz factor of N=4
super-Yang-Mills amplitudes, and the analysis of the critical ultraviolet
behaviour of the multiloop four-gluon amplitudes in the single- and
double-trace sectors. We argue this implies that the superficial ultraviolet
behaviour of the four-graviton N=8 amplitudes from four-loop order is
determined by the factorization the k^8 R^4 operator. This leads to a
seven-loop logarithmic divergence in the four-graviton amplitude in four
dimensions.
|
[
{
"created": "Thu, 8 Apr 2010 18:18:18 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Apr 2010 16:41:58 GMT",
"version": "v2"
}
] |
2010-04-15
|
[
[
"Vanhove",
"Pierre",
""
]
] |
We analyze the critical ultraviolet behaviour of the four-graviton amplitude in N=8 supergravity to all order in perturbation. We use the Bern-Carrasco-Johansson diagrammatic expansion for N=8 supergravity multiloop amplitudes, where numerator factors are squares of the Lorentz factor of N=4 super-Yang-Mills amplitudes, and the analysis of the critical ultraviolet behaviour of the multiloop four-gluon amplitudes in the single- and double-trace sectors. We argue this implies that the superficial ultraviolet behaviour of the four-graviton N=8 amplitudes from four-loop order is determined by the factorization the k^8 R^4 operator. This leads to a seven-loop logarithmic divergence in the four-graviton amplitude in four dimensions.
| 7.967535
| 7.975418
| 9.463818
| 7.779462
| 8.240879
| 7.845343
| 8.168221
| 8.205956
| 7.378131
| 8.892302
| 7.843218
| 7.491272
| 7.953615
| 7.692461
| 7.257594
| 7.562947
| 7.597476
| 7.721779
| 7.627053
| 8.276023
| 7.578039
|
hep-th/9805118
| null |
M. Caffo, H. Czyz, S. Laporta and E. Remiddi
|
The Master Differential Equations for the 2-loop Sunrise Selfmass
Amplitudes
|
28 pages, Latex, 2 encapsulated Postscript figures with epsfig,
mistype corrected in Eq.(56)
|
Nuovo Cim.A111:365-389,1998
| null |
DFUB 98-5, TP-USL/98/4
|
hep-th hep-ph
| null |
The master differential equations in the external square momentum p^2 for the
master integrals of the two-loop sunrise graph, in n-continuous dimensions and
for arbitrary values of the internal masses, are derived. The equations are
then used for working out the values at p^2 = 0 and the expansions in p^2 at
p^2 =0, in (n-4) at n to 4 limit and in 1/p^2 for large values of p^2 .
|
[
{
"created": "Tue, 19 May 1998 16:10:45 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jul 1998 10:37:09 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Caffo",
"M.",
""
],
[
"Czyz",
"H.",
""
],
[
"Laporta",
"S.",
""
],
[
"Remiddi",
"E.",
""
]
] |
The master differential equations in the external square momentum p^2 for the master integrals of the two-loop sunrise graph, in n-continuous dimensions and for arbitrary values of the internal masses, are derived. The equations are then used for working out the values at p^2 = 0 and the expansions in p^2 at p^2 =0, in (n-4) at n to 4 limit and in 1/p^2 for large values of p^2 .
| 12.87515
| 11.194231
| 8.311218
| 8.735464
| 11.161279
| 11.350947
| 9.853521
| 10.075377
| 9.176305
| 9.878662
| 9.942843
| 9.809541
| 9.172091
| 8.801098
| 10.190878
| 9.870531
| 10.368102
| 9.478801
| 9.141518
| 8.388929
| 10.726954
|
1405.4684
|
Jiang Long
|
Bin Chen and Jiang Long
|
Strong Subadditivity and Emergent Surface
|
18 pages, 8 figures, replace "residual entropy" to "differential
entropy"
|
Phys. Rev. D 90, 066012 (2014)
|
10.1103/PhysRevD.90.066012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we introduce two bounds which we call the Upper Differential
Entropy and the Lower Differential Entropy for an infinite family of
intervals(strips) in quantum field theory. The two bounds are equal provided
that the theory is translational invariant and the entanglement entropy varies
smoothly with respect to the interval. When the theory has a holographic dual,
strong subadditivity of entanglement entropy indicates that there is always an
emergent surface whose gravitational entropy is exactly given by the bound.
|
[
{
"created": "Mon, 19 May 2014 11:41:04 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jun 2014 09:55:09 GMT",
"version": "v2"
}
] |
2014-10-01
|
[
[
"Chen",
"Bin",
""
],
[
"Long",
"Jiang",
""
]
] |
In this paper, we introduce two bounds which we call the Upper Differential Entropy and the Lower Differential Entropy for an infinite family of intervals(strips) in quantum field theory. The two bounds are equal provided that the theory is translational invariant and the entanglement entropy varies smoothly with respect to the interval. When the theory has a holographic dual, strong subadditivity of entanglement entropy indicates that there is always an emergent surface whose gravitational entropy is exactly given by the bound.
| 12.627925
| 10.229078
| 13.628205
| 10.77465
| 10.956325
| 10.851865
| 11.745557
| 11.080108
| 11.417873
| 15.038739
| 11.866379
| 11.131485
| 12.386144
| 11.690279
| 11.252361
| 11.188415
| 11.327126
| 11.536563
| 11.772749
| 12.239247
| 12.160802
|
1109.4903
|
Francisco Turrubiates Dr.
|
Ruben Cordero, Erik Diaz, Hugo Garcia-Compean and Francisco J.
Turrubiates
|
Quantum string cosmology in the phase space
|
12 pages, 4 figures, to appear in the Proceedings of the VIII Mexican
Workshop on Gravitation and Mathematical Physics
| null |
10.1063/1.3647533
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Deformation quantization is applied to quantize gravitational systems coupled
with matter. This quantization procedure is performed explicitly for quantum
cosmology of these systems in a flat minisuper(phase)space. The procedure is
employed in a quantum string minisuperspace corresponding to an axion-dilaton
system in an isotropic FRW Universe. The Wheeler-DeWitt-Moyal equation is
obtained and its corresponding Wigner function is given analytically in terms
of Meijer's functions. Finally, this Wigner functions is used to extract
physical information of the system.
|
[
{
"created": "Thu, 22 Sep 2011 18:31:11 GMT",
"version": "v1"
}
] |
2015-05-30
|
[
[
"Cordero",
"Ruben",
""
],
[
"Diaz",
"Erik",
""
],
[
"Garcia-Compean",
"Hugo",
""
],
[
"Turrubiates",
"Francisco J.",
""
]
] |
Deformation quantization is applied to quantize gravitational systems coupled with matter. This quantization procedure is performed explicitly for quantum cosmology of these systems in a flat minisuper(phase)space. The procedure is employed in a quantum string minisuperspace corresponding to an axion-dilaton system in an isotropic FRW Universe. The Wheeler-DeWitt-Moyal equation is obtained and its corresponding Wigner function is given analytically in terms of Meijer's functions. Finally, this Wigner functions is used to extract physical information of the system.
| 13.186984
| 13.387076
| 12.217016
| 10.647263
| 11.624878
| 11.612055
| 12.372175
| 11.14318
| 12.680935
| 13.378165
| 12.127808
| 11.797841
| 11.688596
| 11.279426
| 11.343222
| 11.361057
| 11.4379
| 11.247186
| 11.311585
| 11.567204
| 11.355661
|
1209.6562
|
Max Atkin
|
Max R. Atkin and Stefan Zohren
|
Analytical approaches to 2D CDT coupled to matter
|
4 pages, 2 figure, Based on a talk given at "Gravity, Quantum, and
Black Holes" session of IC-MSQUARE 2012, Budapest, to appear in the
proceedings, IOP Conference Series
|
J.Phys.Conf.Ser. 410 (2013) 012131
|
10.1088/1742-6596/410/1/012131
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review some recent results by Ambjorn et al. (1202.4435) and the authors
(1202.4322,1203.5034) in which multicritical points of the CDT matrix model
were found and in a particular example identified with a hard dimer model. This
identification requires solving the combinatorial problem of counting
configurations of dimers on CDTs.
|
[
{
"created": "Fri, 28 Sep 2012 16:11:33 GMT",
"version": "v1"
}
] |
2013-07-15
|
[
[
"Atkin",
"Max R.",
""
],
[
"Zohren",
"Stefan",
""
]
] |
We review some recent results by Ambjorn et al. (1202.4435) and the authors (1202.4322,1203.5034) in which multicritical points of the CDT matrix model were found and in a particular example identified with a hard dimer model. This identification requires solving the combinatorial problem of counting configurations of dimers on CDTs.
| 17.633961
| 17.731621
| 17.729267
| 16.110123
| 16.987339
| 17.030508
| 15.863951
| 15.3587
| 16.070105
| 20.810654
| 15.53782
| 16.01985
| 16.089771
| 15.391137
| 15.015931
| 14.54561
| 14.603564
| 15.917135
| 14.634609
| 17.278368
| 14.391105
|
1505.02381
|
Robert Brandenberger
|
Robert H. Brandenberger (McGill Univ.)
|
String Gas Cosmology after Planck
|
Invited review article for the "focus issue" of Classical and Quantum
Gravity : "Planck and the fundamentals of cosmology", 17 pages, 3 figures
| null |
10.1088/0264-9381/32/23/234002
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the status of String Gas Cosmology after the 2015 Planck data
release. String gas cosmology predicts an almost scale-invariant spectrum of
cosmological perturbations with a slight red tilt, like the simplest
inflationary models. It also predicts a scale-invariant spectrum of
gravitational waves with a slight blue tilt, unlike inflationary models which
predict a red tilt of the gravitational wave spectrum. String gas cosmology
yields two consistency relations which determine the tensor to scalar ratio and
the slope of the gravitational wave spectrum given the amplitude and tilt of
the scalar spectrum. We show that these consistency relations are in good
agreement with the Planck data. We discuss future observations which will be
able to differentiate between the predictions of inflation and those of string
gas cosmology.
|
[
{
"created": "Sun, 10 May 2015 13:50:44 GMT",
"version": "v1"
}
] |
2015-11-18
|
[
[
"Brandenberger",
"Robert H.",
"",
"McGill Univ."
]
] |
We review the status of String Gas Cosmology after the 2015 Planck data release. String gas cosmology predicts an almost scale-invariant spectrum of cosmological perturbations with a slight red tilt, like the simplest inflationary models. It also predicts a scale-invariant spectrum of gravitational waves with a slight blue tilt, unlike inflationary models which predict a red tilt of the gravitational wave spectrum. String gas cosmology yields two consistency relations which determine the tensor to scalar ratio and the slope of the gravitational wave spectrum given the amplitude and tilt of the scalar spectrum. We show that these consistency relations are in good agreement with the Planck data. We discuss future observations which will be able to differentiate between the predictions of inflation and those of string gas cosmology.
| 4.008945
| 4.016963
| 4.114212
| 3.922693
| 3.870435
| 3.765025
| 3.833511
| 3.81262
| 3.923395
| 4.466989
| 3.955835
| 4.023263
| 4.240314
| 4.059429
| 4.088975
| 4.141171
| 3.933638
| 4.078895
| 4.00498
| 4.04746
| 4.061704
|
0806.0394
|
Olaf Lechtenfeld
|
Tatiana A. Ivanova, Olaf Lechtenfeld
|
Yang-Mills Instantons and Dyons on Group Manifolds
|
1+7 pages
|
Phys.Lett.B670:91-94,2008
|
10.1016/j.physletb.2008.10.027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a
compact semisimple Lie group, and introduce first-order BPS-type equations
which imply the full Yang-Mills equations. For gauge fields invariant under the
adjoint G-action these BPS equations reduce to first-order matrix equations, to
which we give instanton solutions. In the case of G=SU(2)=S^3, our matrix
equations are recast as Nahm equations, and a further algebraic reduction to
the Toda chain equations is presented and solved for the SU(3) example.
Finally, we change the metric on GxR to Minkowski and construct finite-energy
dyon-type Yang-Mills solutions. The special case of G=SU(2)xSU(2) may be used
in heterotic flux compactifications.
|
[
{
"created": "Mon, 2 Jun 2008 21:00:01 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Ivanova",
"Tatiana A.",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] |
We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a compact semisimple Lie group, and introduce first-order BPS-type equations which imply the full Yang-Mills equations. For gauge fields invariant under the adjoint G-action these BPS equations reduce to first-order matrix equations, to which we give instanton solutions. In the case of G=SU(2)=S^3, our matrix equations are recast as Nahm equations, and a further algebraic reduction to the Toda chain equations is presented and solved for the SU(3) example. Finally, we change the metric on GxR to Minkowski and construct finite-energy dyon-type Yang-Mills solutions. The special case of G=SU(2)xSU(2) may be used in heterotic flux compactifications.
| 9.054536
| 8.77452
| 9.859189
| 7.77671
| 9.034803
| 8.027268
| 7.753868
| 8.006572
| 8.044201
| 11.015327
| 8.334963
| 8.707478
| 9.206389
| 8.570697
| 8.267665
| 8.49145
| 8.37642
| 8.754255
| 8.621622
| 9.200526
| 8.44542
|
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