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2.01k
| perplexity_Llama-3.1-8B
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| perplexity_s7-L-3.1-8B-base
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| perplexity_s8-L-3.1-8B-base
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| perplexity_s9-L-3.1-8B-base
float64 3.21
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| perplexity_s10-L-3.1-8B-base
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float64 2.92
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| perplexity_s2-L-3.1-8B-qkv
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float64 2.95
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795
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1501.02593
|
Ronak M Soni
|
Sudip Ghosh, Ronak M. Soni and Sandip P. Trivedi
|
On The Entanglement Entropy For Gauge Theories
|
29 pages, 4 figures; section on Extended Lattice Construction revised
and some changes in referencing; some of the discussion of the replica trick
changed; section on SU(2) revised for clarity
|
JHEP 1509 (2015) 069
|
10.1007/JHEP09(2015)069
|
TIFR/TH/15-03
|
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a definition for the entanglement entropy of a gauge theory on a
spatial lattice. Our definition applies to any subset of links in the lattice,
and is valid for both Abelian and Non-Abelian gauge theories. For
$\mathbb{Z}_N$ and $U(1)$ theories, without matter, our definition agrees with
a particular case of the definition given by Casini, Huerta and Rosabal. We
also argue that in general, both for Abelian and Non-Abelian theories, our
definition agrees with the entanglement entropy calculated using a definition
of the replica trick. Our definition, however, does not agree with some
standard ways to measure entanglement, like the number of Bell pairs which can
be produced by entanglement distillation.
|
[
{
"created": "Mon, 12 Jan 2015 10:26:22 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jan 2015 10:06:39 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Apr 2015 08:32:22 GMT",
"version": "v3"
},
{
"created": "Tue, 21 Jul 2015 06:09:36 GMT",
"version": "v4"
}
] |
2015-09-21
|
[
[
"Ghosh",
"Sudip",
""
],
[
"Soni",
"Ronak M.",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] |
We propose a definition for the entanglement entropy of a gauge theory on a spatial lattice. Our definition applies to any subset of links in the lattice, and is valid for both Abelian and Non-Abelian gauge theories. For $\mathbb{Z}_N$ and $U(1)$ theories, without matter, our definition agrees with a particular case of the definition given by Casini, Huerta and Rosabal. We also argue that in general, both for Abelian and Non-Abelian theories, our definition agrees with the entanglement entropy calculated using a definition of the replica trick. Our definition, however, does not agree with some standard ways to measure entanglement, like the number of Bell pairs which can be produced by entanglement distillation.
| 5.286919
| 5.395139
| 5.771304
| 5.123676
| 5.161698
| 4.912192
| 5.400331
| 5.108336
| 5.078514
| 5.775505
| 5.243229
| 5.128547
| 5.256339
| 5.232556
| 5.294692
| 5.319021
| 5.230577
| 5.125333
| 5.225575
| 5.376845
| 5.270935
|
0909.0693
|
John Morris
|
J.R. Morris
|
Radion clouds around evaporating black holes
|
15 pages; 3 figures
|
Phys.Rev.D80:045014,2009
|
10.1103/PhysRevD.80.045014
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A Kaluza-Klein model, with a matter source associated with Hawking radiation
from an evaporating black hole, is used to obtain a simple form for the radion
effective potential. The environmental effect generally causes a matter-induced
shift of the radion vacuum, resulting in the formation of a radion cloud around
the hole. There is an albedo due to the radion cloud, with an energy dependent
reflection coefficient that depends upon the size of the extra dimensions and
the temperature of the hole.
|
[
{
"created": "Thu, 3 Sep 2009 15:53:39 GMT",
"version": "v1"
}
] |
2010-04-22
|
[
[
"Morris",
"J. R.",
""
]
] |
A Kaluza-Klein model, with a matter source associated with Hawking radiation from an evaporating black hole, is used to obtain a simple form for the radion effective potential. The environmental effect generally causes a matter-induced shift of the radion vacuum, resulting in the formation of a radion cloud around the hole. There is an albedo due to the radion cloud, with an energy dependent reflection coefficient that depends upon the size of the extra dimensions and the temperature of the hole.
| 13.275337
| 11.55388
| 12.348187
| 11.194445
| 12.003108
| 12.924208
| 12.565108
| 11.333187
| 12.075715
| 12.158953
| 12.456408
| 12.096335
| 11.451392
| 11.878293
| 11.916561
| 12.382814
| 12.024702
| 11.958684
| 11.501493
| 11.797309
| 11.843819
|
0810.4699
|
Ronald Reid-Edwards
|
R A Reid-Edwards and B Spanjaard
|
N=4 Gauged Supergravity from Duality-Twist Compactifications of String
Theory
|
59 pages, typos corrected
|
JHEP 0812:052,2008
|
10.1088/1126-6708/2008/12/052
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the lifting of half-maximal four-dimensional gauged
supergravities to compactifications of string theory. It is shown that a class
of such supergravities can arise from compactifications of IIA string theory on
manifolds of SU(2)-structure which may be thought of as K3 fibrations over T^2.
Examples of these SU(2)-structure backgrounds, as smooth K3 bundles and as
compactifications with H-flux, are given and we also find evidence for a class
of non-geometric, Mirror-fold backgrounds. By applying the duality between IIA
string theory on K3 and Heterotic string theory on T^4 fibrewise, we argue that
these SU(2)-structure backgrounds are dual to Heterotic compactifications on a
class T^4 fibrations over T^2. Examples of these fibrations as twisted tori,
H-flux and T-fold compactifications are given. We also construct a new set of
backgrounds, particular to Heterotic string theory, which includes a previously
unknown class of Heterotic T-folds. A sigma model description of these
backgrounds, from the Heterotic perspective, is presented in which we
generalize the Bosonic doubled formalism to Heterotic string theory.
|
[
{
"created": "Sun, 26 Oct 2008 16:11:00 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Aug 2009 09:22:47 GMT",
"version": "v2"
}
] |
2009-08-27
|
[
[
"Reid-Edwards",
"R A",
""
],
[
"Spanjaard",
"B",
""
]
] |
We investigate the lifting of half-maximal four-dimensional gauged supergravities to compactifications of string theory. It is shown that a class of such supergravities can arise from compactifications of IIA string theory on manifolds of SU(2)-structure which may be thought of as K3 fibrations over T^2. Examples of these SU(2)-structure backgrounds, as smooth K3 bundles and as compactifications with H-flux, are given and we also find evidence for a class of non-geometric, Mirror-fold backgrounds. By applying the duality between IIA string theory on K3 and Heterotic string theory on T^4 fibrewise, we argue that these SU(2)-structure backgrounds are dual to Heterotic compactifications on a class T^4 fibrations over T^2. Examples of these fibrations as twisted tori, H-flux and T-fold compactifications are given. We also construct a new set of backgrounds, particular to Heterotic string theory, which includes a previously unknown class of Heterotic T-folds. A sigma model description of these backgrounds, from the Heterotic perspective, is presented in which we generalize the Bosonic doubled formalism to Heterotic string theory.
| 7.470775
| 7.29934
| 8.686571
| 6.865295
| 7.611832
| 7.584657
| 7.845008
| 7.073344
| 7.306718
| 8.815155
| 7.006444
| 7.174744
| 7.352876
| 7.010273
| 7.040515
| 7.069941
| 7.158345
| 6.931352
| 7.129022
| 7.596005
| 7.078918
|
hep-th/9308062
|
Sunil Mukhi
|
Debashis Ghoshal, Porus Lakdawala and Sunil Mukhi
|
Perturbation of the Ground Varieties of C = 1 String Theory
|
15 pages, TIFR/TH/93-36, phyzzx macro.(A clarification added in
Introduction, and a few references added)
|
Mod.Phys.Lett.A8:3187-3200,1993
|
10.1142/S0217732393002129
| null |
hep-th
| null |
We discuss the effect of perturbations on the ground rings of $c=1$ string
theory at the various compactification radii defining the $A_N$ points of the
moduli space. We argue that perturbations by plus-type moduli define ground
varieties which are equivalent to the unperturbed ones under redefinitions of
the coordinates and hence cannot smoothen the singularity. Perturbations by the
minus-type moduli, on the other hand, lead to semi-universal deformations of
the singular varieties that can smoothen the singularity under certain
conditions. To first order, the cosmological perturbation by itself can remove
the singularity only at the self-dual ($A_1$) point.}
|
[
{
"created": "Fri, 13 Aug 1993 09:26:32 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Aug 1993 21:44:40 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Ghoshal",
"Debashis",
""
],
[
"Lakdawala",
"Porus",
""
],
[
"Mukhi",
"Sunil",
""
]
] |
We discuss the effect of perturbations on the ground rings of $c=1$ string theory at the various compactification radii defining the $A_N$ points of the moduli space. We argue that perturbations by plus-type moduli define ground varieties which are equivalent to the unperturbed ones under redefinitions of the coordinates and hence cannot smoothen the singularity. Perturbations by the minus-type moduli, on the other hand, lead to semi-universal deformations of the singular varieties that can smoothen the singularity under certain conditions. To first order, the cosmological perturbation by itself can remove the singularity only at the self-dual ($A_1$) point.}
| 10.91661
| 10.509147
| 12.823909
| 10.083286
| 10.617935
| 11.980079
| 11.677524
| 11.232497
| 10.686873
| 12.507477
| 10.0807
| 10.337835
| 11.314099
| 10.630965
| 10.172051
| 10.586896
| 10.308932
| 10.703581
| 10.470515
| 11.436029
| 10.406775
|
0706.0398
|
Harold Steinacker
|
Harold Steinacker, George Zoupanos
|
Fermions on spontaneously generated spherical extra dimensions
|
34 pages. V2: references added, minor corrections V3: discussion
added, final version
|
JHEP 0709:017,2007
|
10.1088/1126-6708/2007/09/017
|
UWThPh-2007-15
|
hep-th hep-ph
| null |
We include fermions to the model proposed in hep-th/0606021, and obtain a
renormalizable 4-dimensional SU(N) gauge theory which spontaneously generates
fuzzy extra dimensions and behaves like Yang-Mills theory on M^4 \times S^2. We
find a truncated tower of fermionic Kaluza-Klein states transforming under the
low-energy gauge group, which is found to be either SU(n), or SU(n_1) x SU(n_2)
x U(1). The latter case implies a nontrivial U(1) flux on S^2, leading to
would-be zero modes for the bifundamental fermions. In the non-chiral case they
may pair up to acquire a mass, and the emerging picture is that of mirror
fermions. We discuss the possible implementation of a chirality constraint in 6
dimensions, which is nontrivial at the quantum level due to the fuzzy nature of
the extra dimensions.
|
[
{
"created": "Mon, 4 Jun 2007 16:58:07 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jul 2007 09:26:54 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Aug 2007 09:07:06 GMT",
"version": "v3"
}
] |
2009-04-17
|
[
[
"Steinacker",
"Harold",
""
],
[
"Zoupanos",
"George",
""
]
] |
We include fermions to the model proposed in hep-th/0606021, and obtain a renormalizable 4-dimensional SU(N) gauge theory which spontaneously generates fuzzy extra dimensions and behaves like Yang-Mills theory on M^4 \times S^2. We find a truncated tower of fermionic Kaluza-Klein states transforming under the low-energy gauge group, which is found to be either SU(n), or SU(n_1) x SU(n_2) x U(1). The latter case implies a nontrivial U(1) flux on S^2, leading to would-be zero modes for the bifundamental fermions. In the non-chiral case they may pair up to acquire a mass, and the emerging picture is that of mirror fermions. We discuss the possible implementation of a chirality constraint in 6 dimensions, which is nontrivial at the quantum level due to the fuzzy nature of the extra dimensions.
| 8.920988
| 8.190617
| 8.584128
| 8.104018
| 8.766174
| 8.345584
| 8.495728
| 8.377003
| 8.275798
| 8.572084
| 8.214338
| 8.301579
| 8.521233
| 8.209963
| 8.257003
| 8.419126
| 8.230114
| 8.393344
| 8.273086
| 8.48105
| 8.100475
|
hep-th/9708030
| null |
N.O.Agasian and K.Zarembo
|
Phase Structure and Nonperturbative States in Three-Dimensional Adjoint
Higgs Model
|
15pp., Revtex; 4 figures; replaced by a version to be published in
Phys. Rev. D
|
Phys.Rev. D57 (1998) 2475-2485
|
10.1103/PhysRevD.57.2475
|
ITEP-TH-38/97
|
hep-th
| null |
The thermodynamics of 3d adjoint Higgs model is considered. We study the
properties of the Polyakov loop correlators and the critical behavior at the
deconfinement phase transition. Our main tool is a reduction to the 2d
sine-Gordon model. The Polyakov loops appear to be connected with the soliton
operators in it. The known exact results in the sine-Gordon theory allow us to
study in detail the temperature dependence of the string tension, as well as to
get some information about a nonperturbative dynamics in the confinement phase.
We also consider the symmetry restoration at high temperature which makes it
possible to construct the phase diagram of the model completely.
|
[
{
"created": "Wed, 6 Aug 1997 12:56:46 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Aug 1997 12:36:03 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Oct 1997 14:52:53 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Agasian",
"N. O.",
""
],
[
"Zarembo",
"K.",
""
]
] |
The thermodynamics of 3d adjoint Higgs model is considered. We study the properties of the Polyakov loop correlators and the critical behavior at the deconfinement phase transition. Our main tool is a reduction to the 2d sine-Gordon model. The Polyakov loops appear to be connected with the soliton operators in it. The known exact results in the sine-Gordon theory allow us to study in detail the temperature dependence of the string tension, as well as to get some information about a nonperturbative dynamics in the confinement phase. We also consider the symmetry restoration at high temperature which makes it possible to construct the phase diagram of the model completely.
| 8.400168
| 7.985449
| 7.902007
| 7.449684
| 7.794809
| 7.847608
| 7.988631
| 7.485757
| 7.197872
| 8.026485
| 7.828095
| 7.543676
| 7.786714
| 7.605926
| 7.658913
| 7.441697
| 7.766055
| 7.878674
| 7.615411
| 7.754308
| 7.676352
|
hep-th/9604071
|
Kechkin O. V.
|
O.Kechkin, M.Yurova
|
Sp(4,R)/GL(2,R) Matrix Structure of Geodesic Solutions for
Einstein--Maxwell--Dilaton--Axion Theory
|
20 pages, RevTex, no figures, Submitted to Phys.Rev.D
|
Int.J.Mod.Phys. A12 (1997) 4357-4368
|
10.1142/S0217751X9700236X
| null |
hep-th
| null |
The constructed $Sp(4,R)/GL(2,R)$ matrix operator defines the family of
isotropic geodesic containing vacuum point lines in the target space of the
stationary D=4 Einstein--Maxwell--dilaton--axion theory. This operator is used
to derive a class of solutions which describes a point center system with
nontrivial values of mass, parameter NUT, as well as electric, magnetic,
dilaton and axion charges. It is shown that this class contains both particular
solutions Majumdar--Papapetrou--like black holes and massless asymptotically
nonflat naked singularities.
|
[
{
"created": "Sun, 14 Apr 1996 09:58:48 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Kechkin",
"O.",
""
],
[
"Yurova",
"M.",
""
]
] |
The constructed $Sp(4,R)/GL(2,R)$ matrix operator defines the family of isotropic geodesic containing vacuum point lines in the target space of the stationary D=4 Einstein--Maxwell--dilaton--axion theory. This operator is used to derive a class of solutions which describes a point center system with nontrivial values of mass, parameter NUT, as well as electric, magnetic, dilaton and axion charges. It is shown that this class contains both particular solutions Majumdar--Papapetrou--like black holes and massless asymptotically nonflat naked singularities.
| 15.917063
| 17.072226
| 16.949856
| 14.285344
| 15.018072
| 14.901399
| 15.091005
| 14.537227
| 14.929379
| 17.080734
| 15.171939
| 14.406408
| 14.869267
| 14.514481
| 14.541342
| 15.136791
| 14.185163
| 15.585682
| 14.086245
| 15.622841
| 14.429433
|
hep-th/0608087
|
Jose M. Isidro
|
J. M. Isidro, M. A. de Gosson
|
Abelian gerbes as a gauge theory of quantum mechanics on phase space
|
18 pages, 1 figure available from the authors upon request
|
J.Phys.A40:3549-3568,2007
|
10.1088/1751-8113/40/13/016
| null |
hep-th math-ph math.MP
| null |
We construct a U(1) gerbe with a connection over a finite-dimensional,
classical phase space P. The connection is given by a triple of forms A,B,H: a
potential 1-form A, a Neveu-Schwarz potential 2-form B, and a field-strength
3-form H=dB. All three of them are defined exclusively in terms of elements
already present in P, the only external input being Planck's constant h. U(1)
gauge transformations acting on the triple A,B,H are also defined, parametrised
either by a 0-form or by a 1-form. While H remains gauge invariant in all
cases, quantumness vs. classicality appears as a choice of 0-form gauge for the
1-form A. The fact that [H]/2i\pi is an integral class in de Rham cohomology is
related with the discretisation of symplectic area on P. This is an equivalent,
coordinate-free reexpression of Heisenberg's uncertainty principle. A choice of
1-form gauge for the 2-form B relates our construction with generalised complex
structures on classical phase space. Altogether this allows one to interpret
the quantum mechanics corresponding to P as an Abelian gauge theory.
|
[
{
"created": "Mon, 14 Aug 2006 10:30:49 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Isidro",
"J. M.",
""
],
[
"de Gosson",
"M. A.",
""
]
] |
We construct a U(1) gerbe with a connection over a finite-dimensional, classical phase space P. The connection is given by a triple of forms A,B,H: a potential 1-form A, a Neveu-Schwarz potential 2-form B, and a field-strength 3-form H=dB. All three of them are defined exclusively in terms of elements already present in P, the only external input being Planck's constant h. U(1) gauge transformations acting on the triple A,B,H are also defined, parametrised either by a 0-form or by a 1-form. While H remains gauge invariant in all cases, quantumness vs. classicality appears as a choice of 0-form gauge for the 1-form A. The fact that [H]/2i\pi is an integral class in de Rham cohomology is related with the discretisation of symplectic area on P. This is an equivalent, coordinate-free reexpression of Heisenberg's uncertainty principle. A choice of 1-form gauge for the 2-form B relates our construction with generalised complex structures on classical phase space. Altogether this allows one to interpret the quantum mechanics corresponding to P as an Abelian gauge theory.
| 9.141441
| 10.168807
| 10.988971
| 9.471964
| 10.605343
| 10.121786
| 10.34848
| 9.446221
| 9.554036
| 10.920673
| 9.807462
| 9.203423
| 9.632827
| 9.125744
| 9.331207
| 8.999035
| 9.304315
| 9.018585
| 9.250496
| 9.888331
| 8.984037
|
hep-th/9408063
|
Swapna Mahapatra
|
Swapna Mahapatra and Sudipta Mukherji
|
Tachyon Condensates and Anisotropic Universe
|
12 pages, IC/94/116, IMSC/94/31
|
Mod.Phys.Lett. A10 (1995) 183-192
|
10.1142/S0217732395000211
| null |
hep-th
| null |
We investigate the cosmological solutions in closed bosonic string theory in
the presence of non zero tachyon condensate. We specifically obtain time
dependent solutions which describe an anisotropic universe. We also discuss the
nature of such time dependent solutions when small tachyon fluctuations around
the condensate are taken into account.
|
[
{
"created": "Wed, 10 Aug 1994 22:05:49 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Mahapatra",
"Swapna",
""
],
[
"Mukherji",
"Sudipta",
""
]
] |
We investigate the cosmological solutions in closed bosonic string theory in the presence of non zero tachyon condensate. We specifically obtain time dependent solutions which describe an anisotropic universe. We also discuss the nature of such time dependent solutions when small tachyon fluctuations around the condensate are taken into account.
| 8.974001
| 7.001759
| 7.758695
| 6.64516
| 7.129292
| 7.536821
| 7.180461
| 6.990127
| 6.907224
| 8.796115
| 7.310765
| 7.689148
| 8.266366
| 7.651197
| 7.741621
| 7.87941
| 7.607238
| 7.732662
| 7.992702
| 8.811938
| 7.473057
|
1601.05625
|
Patricio Gaete
|
Patricio Gaete and Jos\'e A. Helay\"el-Neto
|
Aspects of screening and confinement in a topologically massive
$U{\left( 1 \right)_{\cal W}} \times U{(1)_{\cal Y}}$ Chern-Simons-Higgs
theory
|
11 pages, to appear in AHEP
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By using the gauge-invariant but path-dependent, variables formalism, we
consider a recently proposed topologically massive $U{\left( 1 \right)_{\cal
W}} \times U{(1)_{\cal Y}}$ Chern-Simons-Higgs theory in $2+1$ dimensions. In
particular, we inspect the impact of a Chern-Simons mixing term between two
Abelian gauge fields on physical observables. We pursue our investigation by
analysing the model in two different situations. In the first case, where we
integrate out the massive excitation and consider an effective model for the
massless field, we show that the interaction energy contains a linear term
leading to the confinement of static charge probes along with a screening
contribution. The second situation, where the massless field can be exactly
integrated over with its constraint duly taken into account, the interesting
feature is that the resulting effective model describes a purely screening
phase, without any trace of a confining regime.
|
[
{
"created": "Thu, 21 Jan 2016 13:34:16 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 2016 21:01:26 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Apr 2016 17:42:20 GMT",
"version": "v3"
}
] |
2016-04-14
|
[
[
"Gaete",
"Patricio",
""
],
[
"Helayël-Neto",
"José A.",
""
]
] |
By using the gauge-invariant but path-dependent, variables formalism, we consider a recently proposed topologically massive $U{\left( 1 \right)_{\cal W}} \times U{(1)_{\cal Y}}$ Chern-Simons-Higgs theory in $2+1$ dimensions. In particular, we inspect the impact of a Chern-Simons mixing term between two Abelian gauge fields on physical observables. We pursue our investigation by analysing the model in two different situations. In the first case, where we integrate out the massive excitation and consider an effective model for the massless field, we show that the interaction energy contains a linear term leading to the confinement of static charge probes along with a screening contribution. The second situation, where the massless field can be exactly integrated over with its constraint duly taken into account, the interesting feature is that the resulting effective model describes a purely screening phase, without any trace of a confining regime.
| 10.428514
| 8.87284
| 11.051911
| 8.793645
| 9.500756
| 9.310664
| 9.466693
| 8.544601
| 8.796114
| 10.701034
| 8.938783
| 9.308046
| 10.080157
| 9.460206
| 10.05225
| 9.521326
| 9.649853
| 9.407274
| 9.462584
| 10.036976
| 9.521024
|
hep-th/9911037
|
Alexander Gorsky
|
A. Gorsky
|
Dualities in integrable systems and N=2 theories
|
16 pages, Latex, Talk given at QFTHEP-99, Moscow, May 27-June 2
|
J.Phys.A34:2389-2402,2001
|
10.1088/0305-4470/34/11/329
| null |
hep-th
| null |
We discuss dualities of the integrable dynamics behind the exact solution to
the N=2 SUSY YM theory. It is shown that T duality in the string theory is
related to the separation of variables procedure in dynamical system. We argue
that there are analogues of S duality as well as 3d mirror symmetry in the
many-body systems of Hitchin type governing low-energy effective actions.
|
[
{
"created": "Fri, 5 Nov 1999 15:08:15 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gorsky",
"A.",
""
]
] |
We discuss dualities of the integrable dynamics behind the exact solution to the N=2 SUSY YM theory. It is shown that T duality in the string theory is related to the separation of variables procedure in dynamical system. We argue that there are analogues of S duality as well as 3d mirror symmetry in the many-body systems of Hitchin type governing low-energy effective actions.
| 15.511556
| 12.959469
| 17.264542
| 12.908661
| 12.496091
| 12.938405
| 11.890574
| 13.28392
| 12.577305
| 17.506128
| 12.593575
| 13.90184
| 15.385406
| 14.176945
| 14.19946
| 13.531378
| 13.923736
| 14.353935
| 13.562888
| 15.314847
| 13.291584
|
hep-th/0408066
|
Sergey V. Shadchin
|
Sergey Shadchin
|
Saddle point equations in Seiberg-Witten theory
|
46 pages, 4 figures
|
JHEP0410:033,2004
|
10.1088/1126-6708/2004/10/033
|
IHES/P/04/38
|
hep-th
| null |
N=2 supersymmetric Yang-Mills theories for all classical gauge groups, that
is, for SU(N), SO(N), and Sp(N) is considered. The equations which define the
Seiberg-Witten curve are proposed. In some cases they are solved. It is shown
that for (almost) all models allowed by the asymptotic freedom the 1-instanton
corrections which follows from these equations agree with the direct
computations and with known results.
|
[
{
"created": "Mon, 9 Aug 2004 13:50:31 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Shadchin",
"Sergey",
""
]
] |
N=2 supersymmetric Yang-Mills theories for all classical gauge groups, that is, for SU(N), SO(N), and Sp(N) is considered. The equations which define the Seiberg-Witten curve are proposed. In some cases they are solved. It is shown that for (almost) all models allowed by the asymptotic freedom the 1-instanton corrections which follows from these equations agree with the direct computations and with known results.
| 9.800685
| 7.379997
| 10.264496
| 7.174916
| 8.720479
| 8.139535
| 8.394645
| 7.104589
| 7.50858
| 10.26239
| 7.35366
| 7.448861
| 8.927833
| 7.826087
| 8.038575
| 7.750309
| 8.106208
| 7.596693
| 7.91897
| 8.470003
| 7.882311
|
hep-th/0207220
|
Victor O. Rivelles
|
H.O. Girotti, M. Gomes, A.Yu. Petrov, V.O. Rivelles and A.J. da Silva
|
Spontaneous Symmetry Breaking in Noncommutative Field Theory
|
17 pages, 6 figues, revtex, (V2) acknowledgment added, (v3) minor
changes
|
Phys.Rev. D67 (2003) 125003
|
10.1103/PhysRevD.67.125003
| null |
hep-th
| null |
The spontaneous symmetry breaking of rotational O(N) symmetry in
noncommutative field theory is investigated in a 2+1 dimensional model of
scalar fields coupled through a combination of quartic and sextuple
self-interactions. There are five possible orderings of the fields in the
sextuple interaction and two for the quartic interaction. At one loop, we prove
that for some choices of these orderings there is the absence of IR/UV mixing
and the appearance of massless excitations. A supersymmetric extension of the
model is also studied. Supersymmetry puts additional constraints on the
couplings but for any given N there is a Moyal ordering of the superfields for
which the requirement for the existence of Goldstone bosons is satisfied. For
some ordering and when N goes to infinity we find evidence that the model is
renormalizable to all orders in perturbation theory. We also consider a generic
chiral model in 3+1 dimensions whose superpotential is invariant under local
gauge transformations. We find that for any value of N there is no one loop
correction to the pion mass and that, at two loops, there are no pion mass
corrections for slowly varying superfields so that Goldstone theorem holds
true. We also find a new purely noncommutative coupling which gives
contributions starting at order N-2 loops.
|
[
{
"created": "Wed, 24 Jul 2002 13:35:06 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Aug 2002 18:58:09 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Nov 2002 16:44:19 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Girotti",
"H. O.",
""
],
[
"Gomes",
"M.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Rivelles",
"V. O.",
""
],
[
"da Silva",
"A. J.",
""
]
] |
The spontaneous symmetry breaking of rotational O(N) symmetry in noncommutative field theory is investigated in a 2+1 dimensional model of scalar fields coupled through a combination of quartic and sextuple self-interactions. There are five possible orderings of the fields in the sextuple interaction and two for the quartic interaction. At one loop, we prove that for some choices of these orderings there is the absence of IR/UV mixing and the appearance of massless excitations. A supersymmetric extension of the model is also studied. Supersymmetry puts additional constraints on the couplings but for any given N there is a Moyal ordering of the superfields for which the requirement for the existence of Goldstone bosons is satisfied. For some ordering and when N goes to infinity we find evidence that the model is renormalizable to all orders in perturbation theory. We also consider a generic chiral model in 3+1 dimensions whose superpotential is invariant under local gauge transformations. We find that for any value of N there is no one loop correction to the pion mass and that, at two loops, there are no pion mass corrections for slowly varying superfields so that Goldstone theorem holds true. We also find a new purely noncommutative coupling which gives contributions starting at order N-2 loops.
| 8.791349
| 9.425447
| 9.646699
| 8.800512
| 9.347376
| 9.043274
| 9.287848
| 9.195735
| 8.517049
| 10.313013
| 8.899895
| 8.835011
| 8.763241
| 8.562778
| 8.528352
| 8.582035
| 8.751081
| 8.652107
| 8.539978
| 8.986192
| 8.526237
|
hep-th/9609231
|
Eduardo Marino
|
E.C. Marino
|
Duality and an Operator Realization for the Fermi-Bose Transmutation in
3+1 Dimensions
|
Latex, 8 pages
|
Phys.Lett. B393 (1997) 383-386
|
10.1016/S0370-2693(96)01644-9
| null |
hep-th
| null |
We consider the Maxwell-Higgs system in the broken phase, described in terms
of a Kalb-Ramond field interacting with the electromagnetic field through a
topological coupling. We then study the creation operators of states which
respectively carry a point charge and a closed magnetic string in the
electromagnetic language or a point topological charge and a closed Kalb-Ramond
charged string in the Kalb-Ramond dual language. Their commutation relation is
evaluated, implying they satisfy a dual algebra and their composite possesses
generalized statistics. In the local limit where the radius of the string
vanishes, only Fermi or Bose statistics are allowed. This provides an explicit
operator realization for statistical transmutation in 3+1D.
|
[
{
"created": "Mon, 30 Sep 1996 15:03:30 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Marino",
"E. C.",
""
]
] |
We consider the Maxwell-Higgs system in the broken phase, described in terms of a Kalb-Ramond field interacting with the electromagnetic field through a topological coupling. We then study the creation operators of states which respectively carry a point charge and a closed magnetic string in the electromagnetic language or a point topological charge and a closed Kalb-Ramond charged string in the Kalb-Ramond dual language. Their commutation relation is evaluated, implying they satisfy a dual algebra and their composite possesses generalized statistics. In the local limit where the radius of the string vanishes, only Fermi or Bose statistics are allowed. This provides an explicit operator realization for statistical transmutation in 3+1D.
| 14.56602
| 15.8139
| 15.651073
| 14.79411
| 14.539983
| 14.335958
| 14.332463
| 14.098418
| 14.350999
| 15.181643
| 14.147518
| 14.298483
| 14.352042
| 13.950273
| 14.378315
| 14.352993
| 14.101367
| 14.308018
| 14.322372
| 14.822411
| 14.103929
|
1703.00018
|
Grant Remmen
|
Ning Bao, Grant N. Remmen
|
Bulk Connectedness and Boundary Entanglement
|
12 pages, 2 figures
|
EPL 121 (2018) 60007
|
10.1209/0295-5075/121/60007
|
CALT-TH-2017-011
|
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove, for any state in a conformal field theory defined on a set of
boundary manifolds with corresponding classical holographic bulk geometry, that
for any bipartition of the boundary into two non-clopen sets, the density
matrix cannot be a tensor product of the reduced density matrices on each
region of the bipartition. In particular, there must be entanglement across the
bipartition surface. We extend this no-go theorem to general, arbitrary
partitions of the boundary manifolds into non-clopen parts, proving that the
density matrix cannot be a tensor product. This result gives a necessary
condition for states to potentially correspond to holographic duals.
|
[
{
"created": "Tue, 28 Feb 2017 19:00:05 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2017 18:52:53 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Aug 2017 16:38:06 GMT",
"version": "v3"
},
{
"created": "Fri, 18 May 2018 17:03:50 GMT",
"version": "v4"
}
] |
2018-05-21
|
[
[
"Bao",
"Ning",
""
],
[
"Remmen",
"Grant N.",
""
]
] |
We prove, for any state in a conformal field theory defined on a set of boundary manifolds with corresponding classical holographic bulk geometry, that for any bipartition of the boundary into two non-clopen sets, the density matrix cannot be a tensor product of the reduced density matrices on each region of the bipartition. In particular, there must be entanglement across the bipartition surface. We extend this no-go theorem to general, arbitrary partitions of the boundary manifolds into non-clopen parts, proving that the density matrix cannot be a tensor product. This result gives a necessary condition for states to potentially correspond to holographic duals.
| 8.566756
| 8.848583
| 8.315222
| 8.175107
| 8.607135
| 8.915583
| 8.85495
| 8.39606
| 8.534302
| 9.674558
| 8.42284
| 8.190451
| 7.96747
| 7.998837
| 7.976544
| 7.974945
| 7.984341
| 8.247499
| 7.899014
| 8.192117
| 8.010295
|
2311.12432
|
Yakov Shnir
|
R.Kirichenkov, J. Kunz, Nobuyuki Sawado and Ya. Shnir
|
Skyrmions and pion stars in the $U(1)$ gauged Einstein-Skyrme model
|
21 pages, 9 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider topological and non-topological regular soliton solutions in the
Einstein-Maxwell-Skyrme theory. We analyze the properties of these solutions
and determine their domains of existence. The dependence of the solutions on
the gauge coupling and on the strength of the effective gravitational coupling
are examined. Topologically trivial localized field configurations,
\textit{pion stars}, are shown to exist, as non-linear gravitational bound
states of the Skyrme field. Both spherically-symmetric and axially-symmetric
pion stars are considered. We find that these solutions share many features
with the usual (mini-)boson stars. In particular they also exhibit a spiraling
behavior and do not possess a flat space limit.
|
[
{
"created": "Tue, 21 Nov 2023 08:43:46 GMT",
"version": "v1"
}
] |
2023-11-22
|
[
[
"Kirichenkov",
"R.",
""
],
[
"Kunz",
"J.",
""
],
[
"Sawado",
"Nobuyuki",
""
],
[
"Shnir",
"Ya.",
""
]
] |
We consider topological and non-topological regular soliton solutions in the Einstein-Maxwell-Skyrme theory. We analyze the properties of these solutions and determine their domains of existence. The dependence of the solutions on the gauge coupling and on the strength of the effective gravitational coupling are examined. Topologically trivial localized field configurations, \textit{pion stars}, are shown to exist, as non-linear gravitational bound states of the Skyrme field. Both spherically-symmetric and axially-symmetric pion stars are considered. We find that these solutions share many features with the usual (mini-)boson stars. In particular they also exhibit a spiraling behavior and do not possess a flat space limit.
| 9.212021
| 7.489892
| 7.749944
| 7.624981
| 8.578612
| 8.174171
| 8.013233
| 7.409289
| 7.79949
| 8.454966
| 7.66441
| 8.407901
| 8.028797
| 7.888982
| 7.999806
| 8.218226
| 8.367659
| 7.694615
| 8.287971
| 8.230059
| 7.985552
|
1107.3533
|
I-Sheng Yang
|
Ali Masoumi and I-Sheng Yang
|
Strongly Warped BPS Domain Walls
|
16 pages, 4 figures, v2, citations added and minor corrections
| null |
10.1103/PhysRevD.84.125004
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present analytical solutions of BPS domain walls in the Einstein-Maxwell
flux landscape. We also remove the smeared-branes approximation and write down
solutions with localized branes. In these solutions the domain walls induce
strong (if not infinite) warping.
|
[
{
"created": "Mon, 18 Jul 2011 19:30:11 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jul 2011 01:56:54 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Masoumi",
"Ali",
""
],
[
"Yang",
"I-Sheng",
""
]
] |
We present analytical solutions of BPS domain walls in the Einstein-Maxwell flux landscape. We also remove the smeared-branes approximation and write down solutions with localized branes. In these solutions the domain walls induce strong (if not infinite) warping.
| 27.024378
| 22.24292
| 27.789019
| 21.214548
| 26.384296
| 26.259586
| 21.880793
| 21.715288
| 21.974457
| 23.713421
| 22.465321
| 22.306086
| 25.893028
| 23.299608
| 22.183527
| 21.805975
| 21.445826
| 22.612495
| 23.326488
| 26.825487
| 22.996305
|
1804.05059
|
Kuo-Wei Huang
|
Kuo-Wei Huang, Radu Roiban, and Arkady A. Tseytlin
|
Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum
corrections
|
25 pages; v2: minor corrections, references added; v3: typos fixed,
published version
|
JHEP 06 (2018) 134
|
10.1007/JHEP06(2018)134
|
YITP-SB-18-08, Imperial-TP-AT-2018-02
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a 6d model of a set of self-dual 2-form $B$-fields interacting with
a non-abelian vector $A$-field which is restricted to a 5d subspace. One
motivation is that if the gauge vector could be expressed in terms of the
$B$-field or integrated out, this model could lead to an interacting theory of
$B$-fields only. Treating the 5d gauge vector as a background field, we compute
the divergent part of the corresponding one-loop effective action which has the
$(DF)^2+F^3$ structure and compare it with similar contributions from other 6d
fields. We also discuss a 4d analog of the non-abelian self-dual model, which
turns out to be UV finite.
|
[
{
"created": "Fri, 13 Apr 2018 17:58:27 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jun 2018 20:11:23 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Jul 2018 17:43:45 GMT",
"version": "v3"
}
] |
2018-07-05
|
[
[
"Huang",
"Kuo-Wei",
""
],
[
"Roiban",
"Radu",
""
],
[
"Tseytlin",
"Arkady A.",
""
]
] |
We study a 6d model of a set of self-dual 2-form $B$-fields interacting with a non-abelian vector $A$-field which is restricted to a 5d subspace. One motivation is that if the gauge vector could be expressed in terms of the $B$-field or integrated out, this model could lead to an interacting theory of $B$-fields only. Treating the 5d gauge vector as a background field, we compute the divergent part of the corresponding one-loop effective action which has the $(DF)^2+F^3$ structure and compare it with similar contributions from other 6d fields. We also discuss a 4d analog of the non-abelian self-dual model, which turns out to be UV finite.
| 8.138489
| 7.095225
| 8.110515
| 7.060846
| 7.349283
| 6.921747
| 6.820448
| 6.927014
| 7.006843
| 8.242628
| 6.884767
| 7.024969
| 7.680196
| 7.164035
| 7.386067
| 7.067282
| 7.31013
| 7.154717
| 7.30255
| 7.827804
| 7.254231
|
hep-th/0605170
|
Leopoldo A. Pando Zayas
|
Leopoldo A. Pando Zayas and Cesar A. Terrero-Escalante
|
Black Holes with Varying Flux: A Numerical Approach
|
40 pages, 15 figures
|
JHEP0609:051,2006
|
10.1088/1126-6708/2006/09/051
|
MCTP-06-08
|
hep-th
| null |
We present a numerical study of type IIB supergravity solutions with varying
Ramond-Ramond flux. We construct solutions that have a regular horizon and
contain nontrivial five- and three-form fluxes. These solutions are
holographically dual to the deconfined phase of confining field theories at
finite temperature. As a calibration of the numerical method we first
numerically reproduce various analytically known solutions including singular
and regular nonextremal D3 branes, the Klebanov-Tseytlin solution and its
singular nonextremal generalization. The horizon of the solutions we construct
is of the precise form of nonextremal D3 branes. In the asymptotic region far
away from the horizon we observe a logarithmic behavior similar to that of the
Klebanov-Tseytlin solution.
|
[
{
"created": "Wed, 17 May 2006 17:34:50 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Terrero-Escalante",
"Cesar A.",
""
]
] |
We present a numerical study of type IIB supergravity solutions with varying Ramond-Ramond flux. We construct solutions that have a regular horizon and contain nontrivial five- and three-form fluxes. These solutions are holographically dual to the deconfined phase of confining field theories at finite temperature. As a calibration of the numerical method we first numerically reproduce various analytically known solutions including singular and regular nonextremal D3 branes, the Klebanov-Tseytlin solution and its singular nonextremal generalization. The horizon of the solutions we construct is of the precise form of nonextremal D3 branes. In the asymptotic region far away from the horizon we observe a logarithmic behavior similar to that of the Klebanov-Tseytlin solution.
| 5.75571
| 5.345268
| 6.1267
| 5.271651
| 5.389603
| 5.416464
| 5.709088
| 5.556727
| 5.550287
| 6.910111
| 5.625668
| 5.712304
| 6.264959
| 5.681373
| 5.632462
| 5.591426
| 5.630235
| 5.568677
| 5.644874
| 5.993133
| 5.588189
|
hep-th/0109141
|
Anton Kapustin
|
Sergey A. Cherkis, Anton Kapustin
|
Hyperkahler Metrics from Periodic Monopoles
|
23 pages, latex. v2: an erroneous formula is corrected, and its
derivation is given. v3 (published version): references added
|
Phys.Rev. D65 (2002) 084015
|
10.1103/PhysRevD.65.084015
|
CALT-68-2347, UCLA/01/TEP/20, CITUSC/01-031
|
hep-th math.DG
| null |
Relative moduli spaces of periodic monopoles provide novel examples of
Asymptotically Locally Flat hyperkahler manifolds. By considering the
interactions between well-separated periodic monopoles, we infer the asymptotic
behavior of their metrics. When the monopole moduli space is four-dimensional,
this construction yields interesting examples of metrics with self-dual
curvature (gravitational instantons). We discuss their topology and complex
geometry. An alternative construction of these gravitational instantons using
moduli spaces of Hitchin equations is also described.
|
[
{
"created": "Wed, 19 Sep 2001 04:41:47 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Nov 2001 17:33:52 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jan 2002 17:29:19 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Cherkis",
"Sergey A.",
""
],
[
"Kapustin",
"Anton",
""
]
] |
Relative moduli spaces of periodic monopoles provide novel examples of Asymptotically Locally Flat hyperkahler manifolds. By considering the interactions between well-separated periodic monopoles, we infer the asymptotic behavior of their metrics. When the monopole moduli space is four-dimensional, this construction yields interesting examples of metrics with self-dual curvature (gravitational instantons). We discuss their topology and complex geometry. An alternative construction of these gravitational instantons using moduli spaces of Hitchin equations is also described.
| 10.627566
| 8.552201
| 10.297048
| 9.188021
| 9.636408
| 9.652152
| 9.160873
| 9.22571
| 8.654083
| 11.261557
| 8.921751
| 8.918965
| 9.528186
| 8.952016
| 9.016463
| 8.893879
| 8.877683
| 9.184937
| 9.043159
| 9.263164
| 9.02507
|
2307.02587
|
Jiaxin Qiao
|
Sridip Pal, Jiaxin Qiao
|
Lightcone Modular Bootstrap and Tauberian Theory: A Cardy-like Formula
for Near-extremal Black Holes
|
v1: 54+30 pages, 4 figures v2: minor edits, more refereces added
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that for a unitary modular invariant 2D CFT with central charge $c>1$
and having a nonzero twist gap in the spectrum of Virasoro primaries, for
sufficiently large spin $J$, there always exist spin-$J$ operators with twist
falling in the interval
$(\frac{c-1}{12}-\varepsilon,\frac{c-1}{12}+\varepsilon)$ with
$\varepsilon=O(J^{-1/2}\log J)$. We establish that the number of Virasoro
primary operators in such a window has a Cardy-like i.e.
$\exp\left(2\pi\sqrt{\frac{(c-1)J}{6}}\right)$ growth. We make further
conjectures on potential generalization to CFTs with conserved currents. A
similar result is proven for a family of holographic CFTs with the twist gap
growing linearly in $c$ and a uniform boundedness condition, in the regime
$J\gg c^3\gg1$. From the perspective of near-extremal rotating BTZ black holes
(without electric charge), our result is valid when the Hawking temperature is
much lower than the "gap temperature".
|
[
{
"created": "Wed, 5 Jul 2023 18:33:55 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jul 2023 07:46:20 GMT",
"version": "v2"
}
] |
2023-08-01
|
[
[
"Pal",
"Sridip",
""
],
[
"Qiao",
"Jiaxin",
""
]
] |
We show that for a unitary modular invariant 2D CFT with central charge $c>1$ and having a nonzero twist gap in the spectrum of Virasoro primaries, for sufficiently large spin $J$, there always exist spin-$J$ operators with twist falling in the interval $(\frac{c-1}{12}-\varepsilon,\frac{c-1}{12}+\varepsilon)$ with $\varepsilon=O(J^{-1/2}\log J)$. We establish that the number of Virasoro primary operators in such a window has a Cardy-like i.e. $\exp\left(2\pi\sqrt{\frac{(c-1)J}{6}}\right)$ growth. We make further conjectures on potential generalization to CFTs with conserved currents. A similar result is proven for a family of holographic CFTs with the twist gap growing linearly in $c$ and a uniform boundedness condition, in the regime $J\gg c^3\gg1$. From the perspective of near-extremal rotating BTZ black holes (without electric charge), our result is valid when the Hawking temperature is much lower than the "gap temperature".
| 6.802933
| 6.560478
| 7.120053
| 6.554894
| 6.802546
| 6.772798
| 7.081003
| 6.828305
| 6.718199
| 7.99376
| 6.629926
| 6.649398
| 6.744542
| 6.585179
| 6.818318
| 6.688381
| 6.661264
| 6.728039
| 6.668806
| 6.787658
| 6.629635
|
hep-th/9611120
|
Ohta Yuji
|
Y\H{u}ji Ohta (Hiroshima Univ., Dept. of Math.)
|
Topological Field Theories associated with Three Dimensional
Seiberg-Witten monopoles
|
new revised version, off-shell action is modified
|
Int.J.Theor.Phys. 37 (1998) 925-956
| null | null |
hep-th
| null |
Three dimensional topological field theories associated with the three
dimensional version of Abelian and non-Abelian Seiberg-Witten monopoles are
presented. These three dimensional monopole equations are obtained by a
dimensional reduction of the four dimensional ones. The starting actions to be
considered are Gaussian types with random auxiliary fields. As the local gauge
symmetries with topological shifts are found to be first stage reducible,
Batalin-Vilkovisky algorithm is suitable for quantization. Then BRST
transformation rules are automatically obtained. Non-trivial observables
associated with Chern classes are obtained from geometric sector and are found
to correspond to those of the topological field theory of Bogomol'nyi
monopoles.
|
[
{
"created": "Sat, 16 Nov 1996 08:07:01 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Nov 1996 09:28:15 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Jan 1997 07:01:24 GMT",
"version": "v3"
}
] |
2008-02-03
|
[
[
"Ohta",
"Yűji",
"",
"Hiroshima Univ., Dept. of Math."
]
] |
Three dimensional topological field theories associated with the three dimensional version of Abelian and non-Abelian Seiberg-Witten monopoles are presented. These three dimensional monopole equations are obtained by a dimensional reduction of the four dimensional ones. The starting actions to be considered are Gaussian types with random auxiliary fields. As the local gauge symmetries with topological shifts are found to be first stage reducible, Batalin-Vilkovisky algorithm is suitable for quantization. Then BRST transformation rules are automatically obtained. Non-trivial observables associated with Chern classes are obtained from geometric sector and are found to correspond to those of the topological field theory of Bogomol'nyi monopoles.
| 12.426638
| 12.357137
| 13.956138
| 12.590986
| 13.666127
| 13.518817
| 13.450194
| 13.174505
| 12.708959
| 15.623649
| 11.949256
| 12.194735
| 12.511295
| 12.011913
| 12.103302
| 11.689498
| 11.756226
| 11.879955
| 12.110357
| 12.39874
| 11.912655
|
2012.15352
|
Yegor Zenkevich
|
Mohamed Ghoneim, Can Koz\c{c}az, Kerem Kur\c{s}un, Yegor Zenkevich
|
4d higgsed network calculus and elliptic DIM algebra
|
23 pages, 1 figure
| null | null |
ITEP/TH-34/20; MIPT/TH-19/20
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Supersymmetric gauge theories of certain class possess a large hidden
nonperturbative symmetry described by the Ding-Iohara-Miki (DIM) algebra which
can be used to compute their partition functions and correlators very
efficiently. We lift the DIM-algebraic approach developed to study holomorphic
blocks of 3d linear quiver gauge theories one dimension higher. We employ an
algebraic construction in which the underlying trigonometric DIM algebra is
elliptically deformed, and an alternative geometric approach motivated by
topological string theory. We demonstrate the equivalence of these two methods,
and motivated by this, prove that elliptic DIM algebra is isomorphic to the
direct sum of a trigonometric DIM algebra and an additional Heisenberg algebra.
|
[
{
"created": "Wed, 30 Dec 2020 22:47:48 GMT",
"version": "v1"
}
] |
2021-01-01
|
[
[
"Ghoneim",
"Mohamed",
""
],
[
"Kozçaz",
"Can",
""
],
[
"Kurşun",
"Kerem",
""
],
[
"Zenkevich",
"Yegor",
""
]
] |
Supersymmetric gauge theories of certain class possess a large hidden nonperturbative symmetry described by the Ding-Iohara-Miki (DIM) algebra which can be used to compute their partition functions and correlators very efficiently. We lift the DIM-algebraic approach developed to study holomorphic blocks of 3d linear quiver gauge theories one dimension higher. We employ an algebraic construction in which the underlying trigonometric DIM algebra is elliptically deformed, and an alternative geometric approach motivated by topological string theory. We demonstrate the equivalence of these two methods, and motivated by this, prove that elliptic DIM algebra is isomorphic to the direct sum of a trigonometric DIM algebra and an additional Heisenberg algebra.
| 9.585395
| 9.50348
| 11.410385
| 8.840843
| 9.37699
| 9.658089
| 9.310287
| 9.155046
| 9.005728
| 14.995624
| 8.787987
| 8.889442
| 10.831295
| 8.913873
| 9.144071
| 8.854466
| 8.644673
| 8.787156
| 9.346926
| 9.890958
| 9.286202
|
1708.09848
|
Andrzej Borowiec
|
A. Borowiec, J. Lukierski and V.N. Tolstoy
|
Basic quantizations of $D=4$ Euclidean, Lorentz, Kleinian and
quaternionic $\mathfrak{o}^{\star}(4)$ symmetries
|
32 pages, v2 minor improvements, added references, new formulas on
p.23
|
JHEP 1711 (2017) 187
|
10.1007/JHEP11(2017)187
| null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct firstly the complete list of five quantum deformations of $D=4$
complex homogeneous orthogonal Lie algebra $\mathfrak{o}(4;\mathbb{C})\cong
\mathfrak{o}(3;\mathbb{C})\oplus \mathfrak{o}(3;\mathbb{C})$, describing
quantum rotational symmetry of four-dimensional complex space-time, in
particular we provide the corresponding universal quantum $R$-matrices. Further
applying four possible reality conditions we obtain all sixteen Hopf-algebraic
quantum deformations for the real forms of $\mathfrak{o}(4;\mathbb{C})$:
Euclidean $\mathfrak{o}(4)$, Lorentz $\mathfrak{o}(3,1)$, Kleinian
$\mathfrak{o}(2,2)$ and quaternionic $\mathfrak{o}^{\star}(4)$. For
$\mathfrak{o}(3,1)$ we only recall well-known results obtained previously by
the authors, but for other real Lie algebras (Euclidean, Kleinian,
quaternionic) as well as for the complex Lie algebra
$\mathfrak{o}(4;\mathbb{C})$ we present new results.
|
[
{
"created": "Thu, 31 Aug 2017 17:55:01 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Sep 2017 17:34:31 GMT",
"version": "v2"
}
] |
2017-12-12
|
[
[
"Borowiec",
"A.",
""
],
[
"Lukierski",
"J.",
""
],
[
"Tolstoy",
"V. N.",
""
]
] |
We construct firstly the complete list of five quantum deformations of $D=4$ complex homogeneous orthogonal Lie algebra $\mathfrak{o}(4;\mathbb{C})\cong \mathfrak{o}(3;\mathbb{C})\oplus \mathfrak{o}(3;\mathbb{C})$, describing quantum rotational symmetry of four-dimensional complex space-time, in particular we provide the corresponding universal quantum $R$-matrices. Further applying four possible reality conditions we obtain all sixteen Hopf-algebraic quantum deformations for the real forms of $\mathfrak{o}(4;\mathbb{C})$: Euclidean $\mathfrak{o}(4)$, Lorentz $\mathfrak{o}(3,1)$, Kleinian $\mathfrak{o}(2,2)$ and quaternionic $\mathfrak{o}^{\star}(4)$. For $\mathfrak{o}(3,1)$ we only recall well-known results obtained previously by the authors, but for other real Lie algebras (Euclidean, Kleinian, quaternionic) as well as for the complex Lie algebra $\mathfrak{o}(4;\mathbb{C})$ we present new results.
| 4.258093
| 4.054594
| 4.564968
| 4.178867
| 4.084448
| 4.273765
| 4.291641
| 4.447841
| 4.05933
| 4.585198
| 4.016608
| 4.098436
| 4.130122
| 4.241038
| 4.222583
| 4.122979
| 4.051083
| 4.127877
| 4.330449
| 4.135043
| 4.202569
|
1202.0006
|
Alberto Salvio
|
Marc Montull, Oriol Pujol\`as, Alberto Salvio and Pedro J. Silva
|
Magnetic Response in the Holographic Insulator/Superconductor Transition
|
31 pages, 24 figures; discussion on vortex lattice, few comments and
references added; article published in JHEP
| null |
10.1007/JHEP04(2012)135
| null |
hep-th cond-mat.mes-hall cond-mat.quant-gas cond-mat.supr-con gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the magnetic response of holographic superconductors exhibiting an
insulating "normal" phase. These materials can be realized as a CFT
compactified on a circle, which is dual to the AdS Soliton geometry. We study
the response under i) magnetic fields and ii) a Wilson line on the circle.
Magnetic fields lead to formation of vortices and allows one to infer that the
superconductor is of type II. The response to a Wilson line is in the form of
Aharonov-Bohm-like effects. These are suppressed in the holographic
conductor/superconductor transition but, instead, they are unsuppressed for the
insulator case. Holography, thus, predicts that generically insulators display
stronger Aharonov-Bohm effects than conductors. In the fluid-mechanical limit
the AdS Soliton is interpreted as a supersolid. Our results imply that
supersolids display unsuppressed Aharonov-Bohm (or "Sagnac") effects - stronger
than in superfluids.
|
[
{
"created": "Tue, 31 Jan 2012 21:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 3 May 2012 13:56:16 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Montull",
"Marc",
""
],
[
"Pujolàs",
"Oriol",
""
],
[
"Salvio",
"Alberto",
""
],
[
"Silva",
"Pedro J.",
""
]
] |
We study the magnetic response of holographic superconductors exhibiting an insulating "normal" phase. These materials can be realized as a CFT compactified on a circle, which is dual to the AdS Soliton geometry. We study the response under i) magnetic fields and ii) a Wilson line on the circle. Magnetic fields lead to formation of vortices and allows one to infer that the superconductor is of type II. The response to a Wilson line is in the form of Aharonov-Bohm-like effects. These are suppressed in the holographic conductor/superconductor transition but, instead, they are unsuppressed for the insulator case. Holography, thus, predicts that generically insulators display stronger Aharonov-Bohm effects than conductors. In the fluid-mechanical limit the AdS Soliton is interpreted as a supersolid. Our results imply that supersolids display unsuppressed Aharonov-Bohm (or "Sagnac") effects - stronger than in superfluids.
| 8.233563
| 8.273132
| 8.501293
| 8.129283
| 8.402132
| 8.431661
| 8.279194
| 7.735527
| 8.212623
| 9.080685
| 7.983075
| 7.898349
| 8.591299
| 7.849465
| 7.930344
| 7.819351
| 7.745241
| 8.06486
| 7.724088
| 8.427266
| 7.778605
|
hep-th/9911098
|
Iouri Chepelev
|
Iouri Chepelev and Radu Roiban
|
Renormalization of Quantum Field Theories on Noncommutative R^d, I.
Scalars
|
Latex, 31 pages, many postscript figures; v2: A false statement in
section 4.2 fixed and 3 figures added. The concluding section modified:
scalar NQFT is not renormalizable. An argument about renormalizability of
Wess-Zumino model added in the concluding section. References added; v3:
Title of figure 15 changed. Typos corrected. A reference added; v4: Improved
definition of index j and some clarifying comments. Added references.
Statements on non-renormalizability softened at the referee's request
|
JHEP 0005 (2000) 037
|
10.1088/1126-6708/2000/05/037
| null |
hep-th
| null |
A noncommutative Feynman graph is a ribbon graph and can be drawn on a genus
$g$ 2-surface with a boundary. We formulate a general convergence theorem for
the noncommutative Feynman graphs in topological terms and prove it for some
classes of diagrams in the scalar field theories. We propose a noncommutative
analog of Bogoliubov-Parasiuk's recursive subtraction formula and show that the
subtracted graphs from a class $\Omega_d$ satisfy the conditions of the
convergence theorem. For a generic scalar noncommutative quantum field theory
on $\re^d$, the class $\Omega_d$ is smaller than the class of all diagrams in
the theory. This leaves open the question of perturbative renormalizability of
noncommutative field theories. We comment on how the supersymmetry can improve
the situation and suggest that a noncommutative analog of Wess-Zumino model is
renormalizable.
|
[
{
"created": "Mon, 15 Nov 1999 02:47:08 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Nov 1999 23:50:35 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Dec 1999 21:34:37 GMT",
"version": "v3"
},
{
"created": "Wed, 24 May 2000 20:06:08 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Chepelev",
"Iouri",
""
],
[
"Roiban",
"Radu",
""
]
] |
A noncommutative Feynman graph is a ribbon graph and can be drawn on a genus $g$ 2-surface with a boundary. We formulate a general convergence theorem for the noncommutative Feynman graphs in topological terms and prove it for some classes of diagrams in the scalar field theories. We propose a noncommutative analog of Bogoliubov-Parasiuk's recursive subtraction formula and show that the subtracted graphs from a class $\Omega_d$ satisfy the conditions of the convergence theorem. For a generic scalar noncommutative quantum field theory on $\re^d$, the class $\Omega_d$ is smaller than the class of all diagrams in the theory. This leaves open the question of perturbative renormalizability of noncommutative field theories. We comment on how the supersymmetry can improve the situation and suggest that a noncommutative analog of Wess-Zumino model is renormalizable.
| 6.781063
| 6.901478
| 6.924254
| 6.659894
| 6.639504
| 7.026676
| 6.696184
| 6.593664
| 6.984838
| 7.308725
| 6.495405
| 6.681617
| 6.888606
| 6.716374
| 6.91452
| 6.763123
| 6.742773
| 6.612221
| 6.825196
| 6.960228
| 6.518261
|
1512.06661
|
Muhammad Raza
|
N.S. Mazhari, D. Momeni, R. Myrzakulov, H. Gholizade, M. Raza
|
Non-equilibrium phase and entanglement entropy in 2D holographic
superconductors via Gauge-String duality
| null |
Canadian Journal of Physics, 2016, 94(10)
|
10.1139/cjp-2016-0338
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An alternative method of developing the theory of non-equilibrium two
dimensional holographic superconductor is to start from the definition of a
time dependent $AdS_3$ background. As originally proposed, many of these
formulae were cast in exponential form, but the adoption of the numeric method
of expression throughout the bulk serves to show more clearly the relationship
between the various parameters. The time dependence behaviour of the scalar
condensation and Maxwell fields are fitted numerically. A usual value for
Maxwell field on AdS horizon is $\exp(-bt)$, and the exponential $\log$ ratio
is therefore $10^{-8} s^{-1}$. The coefficient $b$ of the time in the
exponential term $\exp(-bt)$ can be interpreted as a tool to measure the degree
of dynamical instability, its reciprocal $\frac{1}{b}$ is the time in which the
disturbance is multiplied in the ratio. A discussion of some of the exponential
formulae is given by the scalar field $\psi(z,t)$ near the AdS boundary. It
might be possible that a long interval would elapse the system which tends to
the equilibrium state when the normal mass and conformal dimensions emerged. A
somewhat curious calculation has been made, to illustrate the holographic
entanglement entropy for this system. The foundation of all this calculation
is, of course, a knowledge of multiple (connected and disconnected) extremal
surfaces. There are several cases in which exact and approximate solutions are
jointly used, a variable numerical quantity is represented by a graph, and the
principles of approximation are then applied to determine related numerical
quantities. In the case of the disconnected phase with a finite extremal are,
we find a discontinuity in the first derivative of the entanglement entropy as
the conserved charge $J$ is increased.
|
[
{
"created": "Fri, 30 Oct 2015 17:29:03 GMT",
"version": "v1"
}
] |
2016-10-19
|
[
[
"Mazhari",
"N. S.",
""
],
[
"Momeni",
"D.",
""
],
[
"Myrzakulov",
"R.",
""
],
[
"Gholizade",
"H.",
""
],
[
"Raza",
"M.",
""
]
] |
An alternative method of developing the theory of non-equilibrium two dimensional holographic superconductor is to start from the definition of a time dependent $AdS_3$ background. As originally proposed, many of these formulae were cast in exponential form, but the adoption of the numeric method of expression throughout the bulk serves to show more clearly the relationship between the various parameters. The time dependence behaviour of the scalar condensation and Maxwell fields are fitted numerically. A usual value for Maxwell field on AdS horizon is $\exp(-bt)$, and the exponential $\log$ ratio is therefore $10^{-8} s^{-1}$. The coefficient $b$ of the time in the exponential term $\exp(-bt)$ can be interpreted as a tool to measure the degree of dynamical instability, its reciprocal $\frac{1}{b}$ is the time in which the disturbance is multiplied in the ratio. A discussion of some of the exponential formulae is given by the scalar field $\psi(z,t)$ near the AdS boundary. It might be possible that a long interval would elapse the system which tends to the equilibrium state when the normal mass and conformal dimensions emerged. A somewhat curious calculation has been made, to illustrate the holographic entanglement entropy for this system. The foundation of all this calculation is, of course, a knowledge of multiple (connected and disconnected) extremal surfaces. There are several cases in which exact and approximate solutions are jointly used, a variable numerical quantity is represented by a graph, and the principles of approximation are then applied to determine related numerical quantities. In the case of the disconnected phase with a finite extremal are, we find a discontinuity in the first derivative of the entanglement entropy as the conserved charge $J$ is increased.
| 21.395908
| 24.367189
| 22.839146
| 22.223377
| 23.205669
| 22.54966
| 23.689781
| 23.419031
| 22.195753
| 24.214228
| 22.148403
| 21.939367
| 21.523994
| 20.833498
| 21.490982
| 21.560337
| 21.739532
| 21.271847
| 21.096102
| 21.223894
| 21.559942
|
1608.00226
|
Hai Siong Tan
|
H. S. Tan
|
On scalar propagators of three-dimensional higher-spin black holes
|
27 pages. v3: references added
|
JHEP 1609:137,2016
|
10.1007/JHEP09(2016)137
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore some aspects of three-dimensional higher-spin holography by
studying scalar fluctuations in the background of higher-spin black holes. We
furnish an independent derivation of the bulk-boundary propagator by purely
invoking a well-known infinite dimensional matrix representation of
$hs[\lambda]$ algebra related to its construction as a quotient of the
universal enveloping algebra of $sl(2)$, thus evading the need in previous
literature to perform an analytic continuation from some integer to $\lambda$.
The propagator and the boundary two-point functions are derived for black hole
solutions in $hs[\lambda]\times hs[\lambda]$ Chern-Simons theory with spin-3
and spin-4 charges up to second-order in the potentials. We match them with
three- and four-point torus correlation functions of the putative dual
conformal field theory which has $\mathcal{W}_\infty [\lambda]$ symmetry and is
deformed by higher-spin currents.
|
[
{
"created": "Sun, 31 Jul 2016 14:59:35 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Aug 2016 09:39:20 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Nov 2016 16:08:44 GMT",
"version": "v3"
}
] |
2016-11-22
|
[
[
"Tan",
"H. S.",
""
]
] |
We explore some aspects of three-dimensional higher-spin holography by studying scalar fluctuations in the background of higher-spin black holes. We furnish an independent derivation of the bulk-boundary propagator by purely invoking a well-known infinite dimensional matrix representation of $hs[\lambda]$ algebra related to its construction as a quotient of the universal enveloping algebra of $sl(2)$, thus evading the need in previous literature to perform an analytic continuation from some integer to $\lambda$. The propagator and the boundary two-point functions are derived for black hole solutions in $hs[\lambda]\times hs[\lambda]$ Chern-Simons theory with spin-3 and spin-4 charges up to second-order in the potentials. We match them with three- and four-point torus correlation functions of the putative dual conformal field theory which has $\mathcal{W}_\infty [\lambda]$ symmetry and is deformed by higher-spin currents.
| 9.867785
| 8.341571
| 10.620725
| 8.626538
| 9.006683
| 8.660222
| 9.596085
| 8.368864
| 8.395676
| 11.618465
| 8.6159
| 8.81216
| 9.748828
| 9.143911
| 8.762648
| 8.553452
| 8.999496
| 8.503613
| 8.942348
| 9.755422
| 8.929632
|
2009.07940
|
Karol Kampf
|
Karol Kampf and Jiri Novotny
|
Scattering Amplitudes and Soft Theorems in Multi-Flavor Galileon
Theories
|
42 pages, 2 figures
| null |
10.1007/JHEP12(2020)056
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we initiate the study of multi-flavor Galileon theories using
the methods of scattering amplitudes. We explore this topic from different
perspectives and extend the techniques employed so far mainly in the
single-flavor case. This includes soft theorems, generalized soft theorems with
non-trivial right-hand side, Galileon dualities, soft bootstrap and bonus
relations. We demonstrate new properties on two examples, the multi-flavor U(N)
Galileon and the three-flavor U(2)/U(1) Galileon.
|
[
{
"created": "Wed, 16 Sep 2020 21:18:31 GMT",
"version": "v1"
}
] |
2020-12-30
|
[
[
"Kampf",
"Karol",
""
],
[
"Novotny",
"Jiri",
""
]
] |
In this paper, we initiate the study of multi-flavor Galileon theories using the methods of scattering amplitudes. We explore this topic from different perspectives and extend the techniques employed so far mainly in the single-flavor case. This includes soft theorems, generalized soft theorems with non-trivial right-hand side, Galileon dualities, soft bootstrap and bonus relations. We demonstrate new properties on two examples, the multi-flavor U(N) Galileon and the three-flavor U(2)/U(1) Galileon.
| 12.44703
| 10.506211
| 11.410847
| 10.640672
| 10.700013
| 10.889998
| 10.719133
| 9.989051
| 9.613215
| 11.782192
| 10.508535
| 10.623599
| 10.825624
| 10.224911
| 10.58111
| 10.751623
| 10.473901
| 10.952785
| 10.269176
| 10.660626
| 11.163179
|
hep-th/0110190
| null |
Soumitra SenGupta and Aninda Sinha
|
Generation of Neutrino mass in a Kalb-Ramond Background in large extra
dimensions
|
Latex, 9 Pages, No figures, Thoroughly revised
| null | null | null |
hep-th
| null |
In this paper we investigate whether spacetime torsion induced by a
Kalb-Ramond field in a string inspired background can generate a mass for the
left-handed neutrino. We consider an Einstein-Dirac-Kalb-Ramond lagrangian in
higher dimensional spacetime with torsion generated by the Kalb-Ramond
antisymmetric field in the presence of a bulk fermion. We show that such a
coupling can generate a mass term for the four dimensional neutrino after a
suitable large radius compactification of the extra dimensions.
|
[
{
"created": "Sat, 20 Oct 2001 07:22:49 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Sep 2002 11:14:32 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"SenGupta",
"Soumitra",
""
],
[
"Sinha",
"Aninda",
""
]
] |
In this paper we investigate whether spacetime torsion induced by a Kalb-Ramond field in a string inspired background can generate a mass for the left-handed neutrino. We consider an Einstein-Dirac-Kalb-Ramond lagrangian in higher dimensional spacetime with torsion generated by the Kalb-Ramond antisymmetric field in the presence of a bulk fermion. We show that such a coupling can generate a mass term for the four dimensional neutrino after a suitable large radius compactification of the extra dimensions.
| 6.697129
| 6.200028
| 6.022418
| 5.915195
| 6.185428
| 6.10616
| 6.098218
| 5.578602
| 5.951958
| 6.014766
| 6.213765
| 6.291545
| 6.141452
| 6.067734
| 5.979241
| 6.285135
| 6.127721
| 6.010689
| 6.063609
| 5.923911
| 6.22725
|
hep-th/9609099
|
Margaret Gabler
|
Frank Wilczek
|
Asymptotic Freedom
|
Phyzzx, 48 pages, 7 figures
| null | null |
IASSNS-HEP 96-92
|
hep-th hep-ph
| null |
I discuss how the basic phenomenon of asymptotic freedom in QCD can be
understood in elementary physical terms. Similarly, I discuss how the
long-predicted phenomenon of ``gluonization of the proton'' -- recently
spectacularly confirmed at HERA -- is a rather direct manifestation of the
physics of asymptotic freedom. I review the broader significance of asymptotic
freedom in QCD in fundamental physics: how on the one hand it guides the
interpretation and now even the design of experiments, and how on the other it
makes possible a rational, quantitative theoretical approach to problems of
unification and early universe cosmology.
|
[
{
"created": "Wed, 11 Sep 1996 21:19:51 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Wilczek",
"Frank",
""
]
] |
I discuss how the basic phenomenon of asymptotic freedom in QCD can be understood in elementary physical terms. Similarly, I discuss how the long-predicted phenomenon of ``gluonization of the proton'' -- recently spectacularly confirmed at HERA -- is a rather direct manifestation of the physics of asymptotic freedom. I review the broader significance of asymptotic freedom in QCD in fundamental physics: how on the one hand it guides the interpretation and now even the design of experiments, and how on the other it makes possible a rational, quantitative theoretical approach to problems of unification and early universe cosmology.
| 11.78283
| 12.201031
| 11.613074
| 11.658751
| 12.359804
| 13.865019
| 13.096756
| 12.486763
| 11.549421
| 12.869088
| 12.321987
| 11.308208
| 10.488051
| 10.722883
| 11.204599
| 11.626305
| 11.040766
| 11.482051
| 11.039226
| 10.817569
| 11.437346
|
1310.6549
|
Hagop Sazdjian
|
H. Sazdjian
|
Two-point gauge invariant quark Green's functions with polygonal phase
factor lines
|
6 pages, PDFLatex uses elsarticle class. Invited talk at the
Conference Light Cone: Relativistic Hadronic and Particle Physics, 10-15
December 2012, Delhi, India
|
Nucl. Phys. B (Proc. Suppl.) 251-252 (2014) 81
|
10.1016/j.nuclphysbps.2014.04.014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Polygonal lines are used for the paths of the gluon field phase factors
entering in the definition of gauge invariant quark Green's functions. This
allows classification of the Green's functions according to the number of
segments the polygonal lines contain. Functional relations are established
between Green's functions with polygonal lines with different numbers of
segments. An integrodifferential equation is obtained for the quark two-point
Green's function with a path along a single straight line segment where the
kernels are represented by a series of Wilson loop averages along polygonal
contours. The equation is exactly and analytically solved in the case of
two-dimensional QCD in the large-$N_c$ limit. The solution displays generation
of an infinite number of dynamical quark masses accompanied with branch point
singularities that are stronger than simple poles. An approximation scheme,
based on the counting of functional derivatives of Wilson loops, is proposed
for the resolution of the equation in four dimensions.
|
[
{
"created": "Thu, 24 Oct 2013 10:18:26 GMT",
"version": "v1"
}
] |
2014-06-11
|
[
[
"Sazdjian",
"H.",
""
]
] |
Polygonal lines are used for the paths of the gluon field phase factors entering in the definition of gauge invariant quark Green's functions. This allows classification of the Green's functions according to the number of segments the polygonal lines contain. Functional relations are established between Green's functions with polygonal lines with different numbers of segments. An integrodifferential equation is obtained for the quark two-point Green's function with a path along a single straight line segment where the kernels are represented by a series of Wilson loop averages along polygonal contours. The equation is exactly and analytically solved in the case of two-dimensional QCD in the large-$N_c$ limit. The solution displays generation of an infinite number of dynamical quark masses accompanied with branch point singularities that are stronger than simple poles. An approximation scheme, based on the counting of functional derivatives of Wilson loops, is proposed for the resolution of the equation in four dimensions.
| 9.453408
| 9.710218
| 8.530465
| 8.512403
| 8.804896
| 9.098013
| 8.601296
| 9.064952
| 7.639647
| 8.782291
| 9.593783
| 8.776423
| 8.402969
| 8.259672
| 8.614394
| 8.585314
| 8.425373
| 8.80578
| 8.226319
| 8.631462
| 9.196206
|
1511.08242
|
Alexei Morozov
|
A. Morozov, An. Morozov and A. Popolitov
|
On ambiguity in knot polynomials for virtual knots
|
17 pages
|
Phys.Lett.B 757 (2016) 289-302
|
10.1016/j.physletb.2016.03.085
|
IITP/TH-18/15
|
hep-th math-ph math.GT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We claim that HOMFLY polynomials for virtual knots, defined with the help of
the matrix-model recursion relations, contain more parameters, than just the
usual $q$ and $A = q^N$. These parameters preserve topological invariance and
do not show up in the case of ordinary (non-virtual) knots and links. They are
most conveniently observed in the hypercube formalism: then they substitute
$q$-dimensions of certain fat graphs, which are not constrained by recursion
and can be chosen arbitrarily. The number of these new topological invariants
seems to grow fast with the number of non-virtual crossings: 0, 1, 1, 5, 15,
91, 784, 9160, ... This number can be decreased by imposing the factorization
requirement for composites, in addition to topological invariance -- still
freedom remains. None of these new parameters, however, appear in HOMFLY for
Kishino unknot, which thus remains unseparated from the ordinary unknots even
by this enriched set of knot invariants.
|
[
{
"created": "Wed, 25 Nov 2015 22:09:16 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Nov 2016 13:29:00 GMT",
"version": "v2"
}
] |
2016-11-17
|
[
[
"Morozov",
"A.",
""
],
[
"Morozov",
"An.",
""
],
[
"Popolitov",
"A.",
""
]
] |
We claim that HOMFLY polynomials for virtual knots, defined with the help of the matrix-model recursion relations, contain more parameters, than just the usual $q$ and $A = q^N$. These parameters preserve topological invariance and do not show up in the case of ordinary (non-virtual) knots and links. They are most conveniently observed in the hypercube formalism: then they substitute $q$-dimensions of certain fat graphs, which are not constrained by recursion and can be chosen arbitrarily. The number of these new topological invariants seems to grow fast with the number of non-virtual crossings: 0, 1, 1, 5, 15, 91, 784, 9160, ... This number can be decreased by imposing the factorization requirement for composites, in addition to topological invariance -- still freedom remains. None of these new parameters, however, appear in HOMFLY for Kishino unknot, which thus remains unseparated from the ordinary unknots even by this enriched set of knot invariants.
| 12.369241
| 11.938993
| 15.402874
| 12.459916
| 13.439635
| 13.639465
| 12.515286
| 12.20513
| 12.21046
| 14.265684
| 12.01363
| 11.516593
| 11.953162
| 11.954473
| 11.441045
| 12.006735
| 11.811105
| 11.656809
| 11.712444
| 12.398994
| 11.670509
|
2212.14605
|
Clay C\'ordova
|
Anuj Apte, Clay Cordova, Ho Tat Lam
|
Obstructions to Gapped Phases from Non-Invertible Symmetries
|
21 pages, 6 figures, 1 table
| null |
10.1103/PhysRevB.108.045134
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum systems in 3+1-dimensions that are invariant under gauging a one-form
symmetry enjoy novel non-invertible duality symmetries encoded by topological
defects. These symmetries are renormalization group invariants which constrain
dynamics. We show that such non-invertible symmetries often forbid a
symmetry-preserving vacuum state with a gapped spectrum. In particular, we
prove that a self-dual theory with $\mathbb{Z}_{N}^{(1)}$ one-form symmetry is
gapless or spontaneously breaks the self-duality symmetry unless $N=k^{2}\ell$
where $-1$ is a quadratic residue modulo $\ell$. We also extend these results
to non-invertible symmetries arising from invariance under more general gauging
operations including e.g. triality symmetries. Along the way, we discover how
duality defects in symmetry protected topological phases have a hidden
time-reversal symmetry that organizes their basic properties. These
non-invertible symmetries are realized in lattice gauge theories, which serve
to illustrate our results.
|
[
{
"created": "Fri, 30 Dec 2022 09:13:28 GMT",
"version": "v1"
}
] |
2023-08-02
|
[
[
"Apte",
"Anuj",
""
],
[
"Cordova",
"Clay",
""
],
[
"Lam",
"Ho Tat",
""
]
] |
Quantum systems in 3+1-dimensions that are invariant under gauging a one-form symmetry enjoy novel non-invertible duality symmetries encoded by topological defects. These symmetries are renormalization group invariants which constrain dynamics. We show that such non-invertible symmetries often forbid a symmetry-preserving vacuum state with a gapped spectrum. In particular, we prove that a self-dual theory with $\mathbb{Z}_{N}^{(1)}$ one-form symmetry is gapless or spontaneously breaks the self-duality symmetry unless $N=k^{2}\ell$ where $-1$ is a quadratic residue modulo $\ell$. We also extend these results to non-invertible symmetries arising from invariance under more general gauging operations including e.g. triality symmetries. Along the way, we discover how duality defects in symmetry protected topological phases have a hidden time-reversal symmetry that organizes their basic properties. These non-invertible symmetries are realized in lattice gauge theories, which serve to illustrate our results.
| 7.898767
| 7.506077
| 8.718761
| 7.262123
| 7.17741
| 7.536003
| 7.314448
| 7.081791
| 7.140028
| 9.714276
| 6.789605
| 7.313692
| 8.010234
| 7.354806
| 7.481031
| 7.384338
| 7.286556
| 7.295154
| 7.321737
| 8.291343
| 7.409108
|
hep-th/9904003
|
Sebastian Silva
|
M. Henneaux, B. Julia and S. Silva
|
Noether superpotentials in supergravities
|
18 Pages, LaTex, minor changes, to be published in NPB
|
Nucl.Phys. B563 (1999) 448-460
|
10.1016/S0550-3213(99)00536-2
|
LPTENS 99/09; ULB-TH/99-07
|
hep-th
| null |
Straightforward application of the standard Noether method in supergravity
theories yields an incorrect superpotential for local supersymmetry
transformations, which gives only half of the correct supercharge. We show how
to derive the correct superpotential through Lagrangian methods, by applying a
criterion proposed recently by one of us. We verify the equivalence with the
Hamiltonian formalism. It is also indicated why the first-order and
second-order formalisms lead to the same superpotential. We rederive in
particular the central extension by the magnetic charge of the ${\cal N}_4 =2$
algebra of SUGRA asymptotic charges.
|
[
{
"created": "Thu, 1 Apr 1999 10:11:27 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Oct 1999 13:29:12 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Henneaux",
"M.",
""
],
[
"Julia",
"B.",
""
],
[
"Silva",
"S.",
""
]
] |
Straightforward application of the standard Noether method in supergravity theories yields an incorrect superpotential for local supersymmetry transformations, which gives only half of the correct supercharge. We show how to derive the correct superpotential through Lagrangian methods, by applying a criterion proposed recently by one of us. We verify the equivalence with the Hamiltonian formalism. It is also indicated why the first-order and second-order formalisms lead to the same superpotential. We rederive in particular the central extension by the magnetic charge of the ${\cal N}_4 =2$ algebra of SUGRA asymptotic charges.
| 15.354445
| 13.447674
| 12.479588
| 13.005734
| 13.735556
| 13.537525
| 12.175648
| 12.848367
| 13.789084
| 14.270988
| 12.561338
| 12.149954
| 12.73685
| 12.022994
| 12.696692
| 12.56528
| 12.049383
| 12.184095
| 12.435883
| 12.604986
| 13.01089
|
2002.06108
|
Bruno Carneiro da Cunha
|
Juli\'an Barrag\'an-Amado, Bruno Carneiro da Cunha, and Elisabetta
Pallante
|
Vector perturbations of Kerr-AdS$_5$ and the Painlev\'e VI transcendent
|
Minor comments on fixing of parameters and polarizations, 31 pages, 2
figures, JHEP style
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the Ansatz of separability for Maxwell equations in generically
spinning, five-dimensional Kerr-AdS black holes. We find that the parameter \mu
introduced in a previous work by O. Lunin can be interpreted as apparent
singularities of the resulting radial and angular equations. Using isomonodromy
deformations, we describe a non-linear symmetry of the system, under which \mu
is tied to the Painlev\'e VI transcendent. By translating the boundary
conditions imposed on the solutions of the equations for quasinormal modes in
terms of monodromy data, we find a procedure to fix \mu and study the behavior
of the quasinormal modes in the limit of fast spinning small black holes.
|
[
{
"created": "Fri, 14 Feb 2020 16:23:58 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2020 19:53:54 GMT",
"version": "v2"
}
] |
2020-04-03
|
[
[
"Barragán-Amado",
"Julián",
""
],
[
"da Cunha",
"Bruno Carneiro",
""
],
[
"Pallante",
"Elisabetta",
""
]
] |
We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter \mu introduced in a previous work by O. Lunin can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which \mu is tied to the Painlev\'e VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix \mu and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.
| 12.751116
| 11.336587
| 12.969505
| 10.628385
| 10.883834
| 9.872976
| 9.940153
| 9.322834
| 10.863773
| 12.337363
| 10.87864
| 11.159706
| 11.384319
| 10.803642
| 10.540024
| 10.597895
| 11.03771
| 10.461377
| 11.151721
| 11.311101
| 10.926807
|
hep-th/0303227
|
Radoslaw Matyszkiewicz
|
Zygmunt Lalak and Radoslaw Matyszkiewicz
|
Twisted supergravity and untwisted super-bigravity
|
13 pages, Latex, derivation of consistency conditions simplified
|
Phys.Lett. B562 (2003) 347-357
|
10.1016/S0370-2693(03)00598-7
|
IFT-2003-07
|
hep-th
| null |
We have extended previous analysis of the bulk/brane supersymmetrizations
involving non-zero brane mass terms of bulk fermions (gravitini) and twisting
of boundary conditions. We have constructed new brane/bulk models that may be
relevant for realistic model building. In particular, we have built a model
with the Randall-Sundrum bosonic sector, orthogonal projection operators on the
branes in the fermionic sector, and an unbroken N=1 supersymmetry. We have also
constructed 5d super-bigravity with static vacuum and unbroken N=1
supersymmetry, which may be viewed as a deconstruction of 5d supergravity.
|
[
{
"created": "Wed, 26 Mar 2003 16:46:22 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Aug 2003 18:14:57 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Oct 2003 16:24:34 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Lalak",
"Zygmunt",
""
],
[
"Matyszkiewicz",
"Radoslaw",
""
]
] |
We have extended previous analysis of the bulk/brane supersymmetrizations involving non-zero brane mass terms of bulk fermions (gravitini) and twisting of boundary conditions. We have constructed new brane/bulk models that may be relevant for realistic model building. In particular, we have built a model with the Randall-Sundrum bosonic sector, orthogonal projection operators on the branes in the fermionic sector, and an unbroken N=1 supersymmetry. We have also constructed 5d super-bigravity with static vacuum and unbroken N=1 supersymmetry, which may be viewed as a deconstruction of 5d supergravity.
| 12.028327
| 10.509636
| 11.450107
| 9.627597
| 10.8156
| 10.697268
| 11.78015
| 11.043653
| 10.536627
| 11.525688
| 10.847322
| 10.711699
| 10.753446
| 10.726366
| 11.084374
| 11.306951
| 11.151706
| 10.841934
| 10.689862
| 11.03309
| 10.667572
|
0801.4813
|
David Broadhurst
|
David Broadhurst
|
Elliptic integral evaluation of a Bessel moment by contour integration
of a lattice Green function
|
13 pages, now includes staircase polygons and complex separatrices
| null | null | null |
hep-th
| null |
A proof is found for the elliptic integral evaluation of the Bessel moment
$$M:=\int_0^\infty t I_0^2(t)K_0^2(t)K_0(2t) {\rm d}t ={1/12} {\bf
K}(\sin(\pi/12)){\bf K}(\cos(\pi/12))
=\frac{\Gamma^6(\frac13)}{64\pi^22^{2/3}}$$ resulting from an angular average
of a 2-loop 4-point massive Feynman diagram, with one internal mass doubled.
This evaluation follows from contour integration of the Green function for a
hexagonal lattice, thereby relating $M$ to a linear combination of two more
tractable moments, one given by the Green function for a diamond lattice and
both evaluated by using W.N. Bailey's reduction of an Appell double series to a
product of elliptic integrals. Cubic and sesquiplicate modular transformations
of an elliptic integral from the equal-mass Dalitz plot are proven and used
extensively. Derivations are given of the sum rules $$\int_0^\infty(I_0(a
t)K_0(a t)-\frac{2}{\pi} K_0(4a t) K_0(t))K_0(t) {\rm d}t=0$$ with $a>0$,
proven by analytic continuation of an identity from Bailey's work, and
$$\int_0^\infty t I_0(a t)(I_0^3(a t)K_0(8t)- \frac{1}{4\pi^2} I_0(t)K_0^3(t))
{\rm d}t=0$$ with $2\ge a\ge0$, proven by showing that a Feynman diagram in two
spacetime dimensions generates the enumeration of staircase polygons in four
dimensions.
|
[
{
"created": "Thu, 31 Jan 2008 03:14:13 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Feb 2008 10:48:33 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Feb 2008 05:17:25 GMT",
"version": "v3"
}
] |
2008-02-06
|
[
[
"Broadhurst",
"David",
""
]
] |
A proof is found for the elliptic integral evaluation of the Bessel moment $$M:=\int_0^\infty t I_0^2(t)K_0^2(t)K_0(2t) {\rm d}t ={1/12} {\bf K}(\sin(\pi/12)){\bf K}(\cos(\pi/12)) =\frac{\Gamma^6(\frac13)}{64\pi^22^{2/3}}$$ resulting from an angular average of a 2-loop 4-point massive Feynman diagram, with one internal mass doubled. This evaluation follows from contour integration of the Green function for a hexagonal lattice, thereby relating $M$ to a linear combination of two more tractable moments, one given by the Green function for a diamond lattice and both evaluated by using W.N. Bailey's reduction of an Appell double series to a product of elliptic integrals. Cubic and sesquiplicate modular transformations of an elliptic integral from the equal-mass Dalitz plot are proven and used extensively. Derivations are given of the sum rules $$\int_0^\infty(I_0(a t)K_0(a t)-\frac{2}{\pi} K_0(4a t) K_0(t))K_0(t) {\rm d}t=0$$ with $a>0$, proven by analytic continuation of an identity from Bailey's work, and $$\int_0^\infty t I_0(a t)(I_0^3(a t)K_0(8t)- \frac{1}{4\pi^2} I_0(t)K_0^3(t)) {\rm d}t=0$$ with $2\ge a\ge0$, proven by showing that a Feynman diagram in two spacetime dimensions generates the enumeration of staircase polygons in four dimensions.
| 7.734946
| 9.504927
| 8.643003
| 8.17879
| 8.529366
| 9.508989
| 9.619337
| 8.925379
| 8.331683
| 9.672556
| 8.032326
| 8.082022
| 7.812959
| 7.714026
| 7.950075
| 8.039797
| 7.753067
| 7.836885
| 7.674408
| 8.081162
| 7.735247
|
0906.1969
|
Raoul Santachiara
|
Benoit Estienne and Raoul Santachiara
|
Relating Jack wavefunctions to WA_{k-1} theories
|
13 pages. Published version
|
J. Phys. A: Math. Theor. 42 No 44 (6 November 2009) 445209
|
10.1088/1751-8113/42/44/445209
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The (k,r)-admissible Jack polynomials, recently proposed as many-body
wavefunctions for non-Abelian fractional quantum Hall systems, have been
conjectured to be related to some correlation functions of the minimal model
WA_{k-1}(k+1,k+r) of the WA_{k-1} algebra. By studying the degenerate
representations of the WA_{k-1}(k+1,k+r) theory, we provide a proof for this
conjecture.
|
[
{
"created": "Wed, 10 Jun 2009 16:37:30 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Nov 2009 10:49:50 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"Estienne",
"Benoit",
""
],
[
"Santachiara",
"Raoul",
""
]
] |
The (k,r)-admissible Jack polynomials, recently proposed as many-body wavefunctions for non-Abelian fractional quantum Hall systems, have been conjectured to be related to some correlation functions of the minimal model WA_{k-1}(k+1,k+r) of the WA_{k-1} algebra. By studying the degenerate representations of the WA_{k-1}(k+1,k+r) theory, we provide a proof for this conjecture.
| 7.474775
| 6.870831
| 10.460567
| 6.087417
| 6.696898
| 7.708579
| 6.823969
| 7.576994
| 7.242606
| 9.669236
| 7.162272
| 6.325606
| 9.075519
| 7.046444
| 6.766649
| 6.775961
| 6.817203
| 6.864341
| 6.893126
| 7.780074
| 6.748174
|
2207.05718
|
Andrea Bevilacqua
|
Andrea Bevilacqua
|
$\kappa$-deformed complex fields, (discrete) symmetries, and charges
|
Presented at the Ninth Meeting on CPT and Lorentz Symmetry,
Bloomington, Indiana, May 17-26, 2022
| null | null | null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We will briefly describe how to build a field theory of a complex scalar
field in the $\kappa$-Minkowski spacetime. After introducing the action, we
will shortly describe its properties under both continuous and deformed
symmetry transformations. We will then describe how to compute the charges and
describe their non-trivial properties due to $\kappa$-deformation. We will
conclude with the experimental significance of the model, particularly in the
context of decay probability differences between particles and antiparticles.
|
[
{
"created": "Wed, 6 Jul 2022 20:44:17 GMT",
"version": "v1"
}
] |
2022-07-13
|
[
[
"Bevilacqua",
"Andrea",
""
]
] |
We will briefly describe how to build a field theory of a complex scalar field in the $\kappa$-Minkowski spacetime. After introducing the action, we will shortly describe its properties under both continuous and deformed symmetry transformations. We will then describe how to compute the charges and describe their non-trivial properties due to $\kappa$-deformation. We will conclude with the experimental significance of the model, particularly in the context of decay probability differences between particles and antiparticles.
| 10.974308
| 9.848937
| 10.901119
| 9.395328
| 9.559396
| 9.983296
| 10.114033
| 9.233292
| 10.049075
| 10.926514
| 9.354058
| 10.330756
| 10.468336
| 10.251747
| 10.116087
| 10.017859
| 9.907004
| 9.98005
| 10.090051
| 10.509639
| 9.961033
|
1211.6742
|
Christoph Mayrhofer
|
Christoph Mayrhofer, Eran Palti, Timo Weigand
|
U(1) symmetries in F-theory GUTs with multiple sections
|
46 pages, 3 figures; v2 typos corrected, citations added
| null |
10.1007/JHEP03(2013)098
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a systematic construction of F-theory compactifications with
Abelian gauge symmetries in addition to a non-Abelian gauge group G. The
formalism is generally applicable to models in global Tate form but we focus on
the phenomenologically interesting case of G=SU(5). The Abelian gauge factors
arise due to extra global sections resulting from a specific factorisation of
the Tate polynomial which describes the elliptic fibration. These
constructions, which accommodate up to four different U(1) factors, are worked
out in detail for the two possible embeddings of a single U(1) factor into E8,
usually denoted SU(5) x U(1)_X and SU(5) x U(1)_PQ. The resolved models can be
understood either patchwise via a small resolution or in terms of a
P_{1,1,2}[4] description of the elliptic fibration. We derive the U(1) charges
of the fields from the geometry, construct the U(1) gauge fluxes and exemplify
the structure of the Yukawa interaction points. A particularly interesting
result is that the global SU(5) x U(1)_PQ model exhibits extra SU(5)-singlet
states which are incompatible with a single global decomposition of the 248 of
E8. The states in turn lead to new Yukawa type couplings which have not been
considered in local model building.
|
[
{
"created": "Wed, 28 Nov 2012 21:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Aug 2013 14:35:44 GMT",
"version": "v2"
}
] |
2013-08-02
|
[
[
"Mayrhofer",
"Christoph",
""
],
[
"Palti",
"Eran",
""
],
[
"Weigand",
"Timo",
""
]
] |
We present a systematic construction of F-theory compactifications with Abelian gauge symmetries in addition to a non-Abelian gauge group G. The formalism is generally applicable to models in global Tate form but we focus on the phenomenologically interesting case of G=SU(5). The Abelian gauge factors arise due to extra global sections resulting from a specific factorisation of the Tate polynomial which describes the elliptic fibration. These constructions, which accommodate up to four different U(1) factors, are worked out in detail for the two possible embeddings of a single U(1) factor into E8, usually denoted SU(5) x U(1)_X and SU(5) x U(1)_PQ. The resolved models can be understood either patchwise via a small resolution or in terms of a P_{1,1,2}[4] description of the elliptic fibration. We derive the U(1) charges of the fields from the geometry, construct the U(1) gauge fluxes and exemplify the structure of the Yukawa interaction points. A particularly interesting result is that the global SU(5) x U(1)_PQ model exhibits extra SU(5)-singlet states which are incompatible with a single global decomposition of the 248 of E8. The states in turn lead to new Yukawa type couplings which have not been considered in local model building.
| 8.21737
| 8.424116
| 8.816298
| 8.08927
| 8.600486
| 8.859181
| 8.59867
| 8.414286
| 8.51512
| 10.127147
| 8.03446
| 8.157891
| 8.211964
| 7.976935
| 8.068439
| 8.288949
| 8.135601
| 7.873188
| 7.887875
| 8.343857
| 7.930743
|
2111.09570
|
Zheng Sun
|
James Brister, Zheng Sun, Greg Yang
|
A formal notion of genericity and term-by-term vanishing superpotentials
at supersymmetric vacua from R-symmetric Wess-Zumino models
|
8 pages; v2: typos, JHEP pre-publication version
|
JHEP 12 (2021) 199
|
10.1007/JHEP12(2021)199
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is known in previous literature that if a Wess-Zumino model with an
R-symmetry gives a supersymmetric vacuum, the superpotential vanishes at the
vacuum. In this work, we establish a formal notion of genericity, and show that
if the R-symmetric superpotential has generic coefficients, the superpotential
vanishes term-by-term at a supersymmetric vacuum. This result constrains the
form of the superpotential which leads to a supersymmetric vacuum. It may
contribute to a refined classification of R-symmetric Wess-Zumino models, and
find applications in string constructions of vacua with small superpotentials.
A similar result for a scalar potential system with a scaling symmetry is
discussed.
|
[
{
"created": "Thu, 18 Nov 2021 08:10:48 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Dec 2021 05:38:47 GMT",
"version": "v2"
}
] |
2022-01-03
|
[
[
"Brister",
"James",
""
],
[
"Sun",
"Zheng",
""
],
[
"Yang",
"Greg",
""
]
] |
It is known in previous literature that if a Wess-Zumino model with an R-symmetry gives a supersymmetric vacuum, the superpotential vanishes at the vacuum. In this work, we establish a formal notion of genericity, and show that if the R-symmetric superpotential has generic coefficients, the superpotential vanishes term-by-term at a supersymmetric vacuum. This result constrains the form of the superpotential which leads to a supersymmetric vacuum. It may contribute to a refined classification of R-symmetric Wess-Zumino models, and find applications in string constructions of vacua with small superpotentials. A similar result for a scalar potential system with a scaling symmetry is discussed.
| 8.155105
| 7.189572
| 8.831145
| 7.289963
| 7.851095
| 7.636415
| 7.803612
| 7.358979
| 7.179809
| 8.786442
| 7.31767
| 7.471817
| 8.071997
| 7.501349
| 7.688193
| 7.37778
| 7.48515
| 7.377563
| 7.28771
| 8.076615
| 7.199443
|
0901.0012
|
Keun-young Kim
|
Keun-Young Kim and Ismail Zahed
|
Nucleon-Nucleon Potential from Holography
|
44 pages, 9 figures
|
JHEP 0903:131,2009
|
10.1088/1126-6708/2009/03/131
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the holographic model of QCD, baryons are chiral solitons sourced by D4
flavor instantons in bulk of size 1/\sqrt{\lambda} with \lambda=g^2*N_c. Using
the ADHM construction we explicit the exact two-instanton solution in bulk. We
use it to construct the core NN potential to order N_c/\lambda. The core
sources meson fields to order \sqrt{N_c/\lambda} which are shown to contribute
to the NN interaction to order N_c/\lambda. In holographic QCD, the NN
interaction splits into a small core and a large cloud contribution in line
with meson exchange models. The core part of the interaction is repulsive in
the central, spin and tensor channels for instantons in the regular gauge. The
cloud part of the interaction is dominated by omega exchange in the central
channel, by pion exchange in the tensor channel and by axial-vector exchange in
the spin and tensor channels. Vector meson exchanges are subdominant in all
channels.
|
[
{
"created": "Wed, 31 Dec 2008 17:31:01 GMT",
"version": "v1"
}
] |
2009-04-02
|
[
[
"Kim",
"Keun-Young",
""
],
[
"Zahed",
"Ismail",
""
]
] |
In the holographic model of QCD, baryons are chiral solitons sourced by D4 flavor instantons in bulk of size 1/\sqrt{\lambda} with \lambda=g^2*N_c. Using the ADHM construction we explicit the exact two-instanton solution in bulk. We use it to construct the core NN potential to order N_c/\lambda. The core sources meson fields to order \sqrt{N_c/\lambda} which are shown to contribute to the NN interaction to order N_c/\lambda. In holographic QCD, the NN interaction splits into a small core and a large cloud contribution in line with meson exchange models. The core part of the interaction is repulsive in the central, spin and tensor channels for instantons in the regular gauge. The cloud part of the interaction is dominated by omega exchange in the central channel, by pion exchange in the tensor channel and by axial-vector exchange in the spin and tensor channels. Vector meson exchanges are subdominant in all channels.
| 8.345276
| 8.109664
| 8.943737
| 7.865426
| 8.027637
| 8.59689
| 7.983269
| 9.325633
| 8.30081
| 9.085838
| 8.247167
| 8.102098
| 8.155618
| 8.068645
| 8.308525
| 8.433203
| 8.031375
| 8.179425
| 7.959911
| 7.981869
| 8.303383
|
hep-th/9803180
|
Hans Kastrup
|
H.A. Kastrup (RWTH Aachen)
|
Schwarzschild Black Hole Quantum Statistics, Droplet Nucleation and DLCQ
Matrix Theory
|
21 pages, Latex; References and few remarks added
| null | null |
PITHA 98/10
|
hep-th gr-qc
| null |
Generalizing previous quantum gravity results for Schwarzschild black holes
from 4 to D>4 spacetime dimensions yields an energy spectrum E_n =
n^{1-1/(D-2)} sigma E_P, n=1,2,..., sigma = O(1). Assuming the degeneracies of
these levels to be given by g^n, g>1, leads to a partition function which is
the same as that of the primitive droplet nucleation model for 1st-order phase
transitions in D-2 spatial dimensions. Exploiting the well-known properties of
the so-called critical droplets of this model immediately leads to the Hawking
temperature and the Bekenstein-Hawking entropy of Schwarzschild black holes.
Thus, the "holographic principle" of 't Hooft and Susskind is naturally
realised. The values of temperature and entropy appear closely related to the
imaginary part of the partition function which describes metastable states.
Finally some striking conceptual similarities ("correspondence point" etc.)
between the droplet nucleation picture and the very recent approach to the
quantum statistics of Schwarzschild black holes in the framework of the DLCQ
Matrix theory are pointed out.
|
[
{
"created": "Sun, 22 Mar 1998 20:37:44 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Apr 1998 15:07:09 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jun 1998 18:07:48 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Kastrup",
"H. A.",
"",
"RWTH Aachen"
]
] |
Generalizing previous quantum gravity results for Schwarzschild black holes from 4 to D>4 spacetime dimensions yields an energy spectrum E_n = n^{1-1/(D-2)} sigma E_P, n=1,2,..., sigma = O(1). Assuming the degeneracies of these levels to be given by g^n, g>1, leads to a partition function which is the same as that of the primitive droplet nucleation model for 1st-order phase transitions in D-2 spatial dimensions. Exploiting the well-known properties of the so-called critical droplets of this model immediately leads to the Hawking temperature and the Bekenstein-Hawking entropy of Schwarzschild black holes. Thus, the "holographic principle" of 't Hooft and Susskind is naturally realised. The values of temperature and entropy appear closely related to the imaginary part of the partition function which describes metastable states. Finally some striking conceptual similarities ("correspondence point" etc.) between the droplet nucleation picture and the very recent approach to the quantum statistics of Schwarzschild black holes in the framework of the DLCQ Matrix theory are pointed out.
| 9.004613
| 10.755023
| 8.169328
| 8.20261
| 8.233717
| 8.843357
| 9.830311
| 7.722906
| 9.366172
| 7.242472
| 9.193186
| 8.905443
| 8.774323
| 8.682068
| 8.660671
| 8.86198
| 9.221616
| 8.591103
| 8.767396
| 8.382022
| 8.548872
|
2004.07989
|
Dmitry Ponomarev
|
Balakrishnan Nagaraj and Dmitry Ponomarev
|
Spinor-Helicity Formalism for Massless Fields in AdS$_4$ III: Contact
Four-Point Amplitudes
|
22 pages
| null |
10.1007/JHEP08(2020)012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study contact four-point amplitudes in the spinor-helicity formalism in
anti-de Sitter space. We find that these amplitudes can be brought to an
especially simple form, which we call canonical. Next, we classify consistent
contact amplitudes by requiring correct transformation properties with respect
to the AdS isometry algebra. Finally, we establish a connection between the
canonical form of AdS amplitudes and scalar multi-trace conformal primaries in
flat space.
|
[
{
"created": "Thu, 16 Apr 2020 23:08:25 GMT",
"version": "v1"
}
] |
2020-08-26
|
[
[
"Nagaraj",
"Balakrishnan",
""
],
[
"Ponomarev",
"Dmitry",
""
]
] |
We study contact four-point amplitudes in the spinor-helicity formalism in anti-de Sitter space. We find that these amplitudes can be brought to an especially simple form, which we call canonical. Next, we classify consistent contact amplitudes by requiring correct transformation properties with respect to the AdS isometry algebra. Finally, we establish a connection between the canonical form of AdS amplitudes and scalar multi-trace conformal primaries in flat space.
| 8.358312
| 7.695902
| 8.682638
| 7.030178
| 7.324851
| 6.986756
| 7.269057
| 7.077179
| 6.791245
| 8.782375
| 7.451951
| 7.144667
| 7.564175
| 6.917493
| 7.027301
| 7.138308
| 7.24779
| 7.357913
| 6.978499
| 7.333511
| 7.243422
|
hep-th/9912246
|
Herbert Hamber
|
H.W. Hamber
|
On the Gravitational Scaling Dimensions
|
LaTeX, 50 pages, 17 figures
|
Phys.Rev. D61 (2000) 124008
|
10.1103/PhysRevD.61.124008
|
UCI-99-20
|
hep-th
| null |
A model for quantized gravitation based on the simplicial lattice
discretization is studied in detail using a comprehensive finite size scaling
analysis combined with renormalization group methods. The results are
consistent with a value for the universal critical exponent for gravitation
$\nu=1/3$, and suggest a simple relationship between Newton's constant, the
gravitational correlation length and the observable average space-time
curvature. Some perhaps testable phenomenological implications of these results
are discussed. To achieve a high numerical accuracy in the evaluation of the
lattice path integral a dedicated parallel machine was assembled.
|
[
{
"created": "Fri, 24 Dec 1999 06:09:02 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Hamber",
"H. W.",
""
]
] |
A model for quantized gravitation based on the simplicial lattice discretization is studied in detail using a comprehensive finite size scaling analysis combined with renormalization group methods. The results are consistent with a value for the universal critical exponent for gravitation $\nu=1/3$, and suggest a simple relationship between Newton's constant, the gravitational correlation length and the observable average space-time curvature. Some perhaps testable phenomenological implications of these results are discussed. To achieve a high numerical accuracy in the evaluation of the lattice path integral a dedicated parallel machine was assembled.
| 15.042902
| 9.794276
| 12.771607
| 10.270901
| 10.271685
| 10.259731
| 10.397264
| 11.617003
| 10.657035
| 15.024571
| 11.689178
| 12.148973
| 12.996906
| 12.694928
| 12.707068
| 12.427332
| 12.524961
| 13.228658
| 12.757502
| 13.086921
| 12.672645
|
0902.0757
|
Saulo Pereira H
|
J. Frenkel, S. H. Pereira, N. Takahashi
|
Hard thermal loops in static external fields
|
7 pages, 2 figures
|
Phys. Rev. D 79, 085001 (2009)
|
10.1103/PhysRevD.79.085001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study, in the imaginary-time formalism, the high temperature behavior of
n-point thermal loops in static Yang-Mills and gravitational fields. We show
that in this regime, any hard thermal loop gives the same leading contribution
as the one obtained by evaluating the loop at zero external energies and
momenta.
|
[
{
"created": "Wed, 4 Feb 2009 17:59:41 GMT",
"version": "v1"
}
] |
2011-11-10
|
[
[
"Frenkel",
"J.",
""
],
[
"Pereira",
"S. H.",
""
],
[
"Takahashi",
"N.",
""
]
] |
We study, in the imaginary-time formalism, the high temperature behavior of n-point thermal loops in static Yang-Mills and gravitational fields. We show that in this regime, any hard thermal loop gives the same leading contribution as the one obtained by evaluating the loop at zero external energies and momenta.
| 15.604991
| 12.562009
| 15.282726
| 12.314222
| 13.672701
| 13.664342
| 13.204738
| 12.662094
| 13.007763
| 16.362841
| 14.258632
| 12.564657
| 15.12016
| 13.416434
| 12.693324
| 13.020795
| 12.618072
| 12.882009
| 13.316775
| 14.099639
| 13.123731
|
0808.3444
|
Dan Radu Grigore
|
D. R. Grigore, G. Scharf
|
Massive Yang-Mills Fields in Interaction with Gravity
|
no figures, 13 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine the most general form of the interaction between the
gravitational field and an arbitrary Yang-Mills system of fields (massless and
massive). We work in the perturbative quantum framework of the causal approach
(of Epstein and Glaser) and use a cohomological definition of gauge invariance
for both gauge fields. We also consider the case of massive gravity. We discuss
the question whether gravity couples to the unphysical degrees of freedom in
the Yang-Mills fields.
|
[
{
"created": "Tue, 26 Aug 2008 05:32:11 GMT",
"version": "v1"
}
] |
2008-08-27
|
[
[
"Grigore",
"D. R.",
""
],
[
"Scharf",
"G.",
""
]
] |
We determine the most general form of the interaction between the gravitational field and an arbitrary Yang-Mills system of fields (massless and massive). We work in the perturbative quantum framework of the causal approach (of Epstein and Glaser) and use a cohomological definition of gauge invariance for both gauge fields. We also consider the case of massive gravity. We discuss the question whether gravity couples to the unphysical degrees of freedom in the Yang-Mills fields.
| 9.714033
| 9.255571
| 8.987745
| 8.225709
| 9.185653
| 8.377147
| 8.499676
| 8.352258
| 8.152175
| 10.014733
| 7.938228
| 8.680406
| 9.277068
| 8.818451
| 8.871354
| 8.896172
| 9.148108
| 8.764486
| 8.984322
| 8.905233
| 8.648434
|
hep-th/0212038
|
Daniel Heber Theodoro Franco
|
Daniel H.T. Franco and Caio M.M. Polito
|
Supersymmetric Field-Theoretic Models on a Supermanifold
|
Final version to appear in J.Math.Phys
|
J.Math.Phys. 45 (2004) 1447-1473
|
10.1063/1.1669058
| null |
hep-th math-ph math.MP
| null |
We propose the extension of some structural aspects that have successfully
been applied in the development of the theory of quantum fields propagating on
a general spacetime manifold so as to include superfield models on a
supermanifold. We only deal with the limited class of supermanifolds which
admit the existence of a smooth body manifold structure. Our considerations are
based on the Catenacci-Reina-Teofillatto-Bryant approach to supermanifolds. In
particular, we show that the class of supermanifolds constructed by
Bonora-Pasti-Tonin satisfies the criterions which guarantee that a
supermanifold admits a Hausdorff body manifold. This construction is the
closest to the physicist's intuitive view of superspace as a manifold with some
anticommuting coordinates, where the odd sector is topologically trivial. The
paper also contains a new construction of superdistributions and useful results
on the wavefront set of such objects. Moreover, a generalization of the
spectral condition is formulated using the notion of the wavefront set of
superdistributions, which is equivalent to the requirement that all of the
component fields satisfy, on the body manifold, a microlocal spectral condition
proposed by Brunetti-Fredenhagen-K\"ohler.
|
[
{
"created": "Wed, 4 Dec 2002 00:22:55 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Dec 2002 02:07:07 GMT",
"version": "v2"
},
{
"created": "Sun, 18 Jan 2004 02:19:51 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Franco",
"Daniel H. T.",
""
],
[
"Polito",
"Caio M. M.",
""
]
] |
We propose the extension of some structural aspects that have successfully been applied in the development of the theory of quantum fields propagating on a general spacetime manifold so as to include superfield models on a supermanifold. We only deal with the limited class of supermanifolds which admit the existence of a smooth body manifold structure. Our considerations are based on the Catenacci-Reina-Teofillatto-Bryant approach to supermanifolds. In particular, we show that the class of supermanifolds constructed by Bonora-Pasti-Tonin satisfies the criterions which guarantee that a supermanifold admits a Hausdorff body manifold. This construction is the closest to the physicist's intuitive view of superspace as a manifold with some anticommuting coordinates, where the odd sector is topologically trivial. The paper also contains a new construction of superdistributions and useful results on the wavefront set of such objects. Moreover, a generalization of the spectral condition is formulated using the notion of the wavefront set of superdistributions, which is equivalent to the requirement that all of the component fields satisfy, on the body manifold, a microlocal spectral condition proposed by Brunetti-Fredenhagen-K\"ohler.
| 10.567698
| 12.58724
| 12.039125
| 11.850629
| 12.648623
| 11.86434
| 11.988195
| 11.475384
| 12.188776
| 13.829082
| 11.662646
| 10.583756
| 11.345756
| 10.704941
| 10.693107
| 10.668309
| 10.800413
| 10.702238
| 10.652391
| 11.067091
| 10.634159
|
hep-th/0204219
| null |
Brian P. Dolan, Denjoe O'Connor and Peter Presnajder
|
Matrix models on the fuzzy sphere
|
6 pages, LaTeX2e, Talk given at the NATO Advanced Research Workshop
on Confiment, Topology, and other Non-Perturbative Aspects of QCD, Stara
Lesna, Slovakia, Jan. 21-27, 2002
| null | null | null |
hep-th
| null |
Field theory on a fuzzy noncommutative sphere can be considered as a
particular matrix approximation of field theory on the standard commutative
sphere. We investigate from this point of view the scalar $\phi^4$ theory. We
demonstrate that the UV/IR mixing problems of this theory are localized to the
tadpole diagrams and can be removed by an appropiate (fuzzy) normal ordering of
the $\phi^4$ vertex. The perturbative expansion of this theory reduces in the
commutative limit to that on the commutative sphere.
|
[
{
"created": "Thu, 25 Apr 2002 13:22:32 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dolan",
"Brian P.",
""
],
[
"O'Connor",
"Denjoe",
""
],
[
"Presnajder",
"Peter",
""
]
] |
Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this point of view the scalar $\phi^4$ theory. We demonstrate that the UV/IR mixing problems of this theory are localized to the tadpole diagrams and can be removed by an appropiate (fuzzy) normal ordering of the $\phi^4$ vertex. The perturbative expansion of this theory reduces in the commutative limit to that on the commutative sphere.
| 7.977588
| 6.068382
| 6.854178
| 5.659004
| 6.303251
| 5.819642
| 5.819487
| 5.953323
| 5.75452
| 6.888155
| 5.987259
| 5.731376
| 6.487722
| 5.950146
| 5.974732
| 5.821149
| 5.813551
| 5.902812
| 5.822909
| 6.594172
| 5.995166
|
hep-th/9412191
|
Jose Gaite
|
Jose Gaite
|
Deformed 2d CFT: Landau-Ginzburg Lagrangians and Toda theories
|
13 pages LaTeX. 2 PostScript figures (uuencoded tarred files)
| null | null |
ITFA-94-31
|
hep-th
| null |
We consider the relation between affine Toda field theories (ATFT) and
Landau-Ginzburg Lagrangians as alternative descriptions of deformed 2d CFT.
First, we show that the two concrete implementations of the deformation are
consistent once quantum corrections to the Landau-Ginzburg Lagrangian are taken
into account. Second, inspired by Gepner's fusion potentials, we explore the
possibility of a direct connection between both types of Lagrangians; namely,
whether they can be transformed one into another by a change of variables. This
direct connection exists in the one-variable case, namely, for the sine-Gordon
model, but cannot be established in general. Nevertheless, we show that both
potentials exhibit the same structure of extrema.
|
[
{
"created": "Wed, 21 Dec 1994 19:42:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gaite",
"Jose",
""
]
] |
We consider the relation between affine Toda field theories (ATFT) and Landau-Ginzburg Lagrangians as alternative descriptions of deformed 2d CFT. First, we show that the two concrete implementations of the deformation are consistent once quantum corrections to the Landau-Ginzburg Lagrangian are taken into account. Second, inspired by Gepner's fusion potentials, we explore the possibility of a direct connection between both types of Lagrangians; namely, whether they can be transformed one into another by a change of variables. This direct connection exists in the one-variable case, namely, for the sine-Gordon model, but cannot be established in general. Nevertheless, we show that both potentials exhibit the same structure of extrema.
| 9.168756
| 8.345586
| 9.952465
| 8.618638
| 8.703155
| 9.145457
| 8.165178
| 8.774171
| 8.662491
| 9.974586
| 8.544243
| 8.498316
| 9.566936
| 8.604318
| 8.6495
| 8.625626
| 8.624833
| 8.284899
| 8.80519
| 9.46525
| 8.471665
|
hep-th/9712031
|
Marotta Vincenzo
|
Vincenzo Marotta
|
Sress-Tensor for parafermions from the generalized Frenkel-Kac
construction of affine algebra
|
Comments and references added, 8 pages, Revtex
|
Mod.Phys.Lett.A13:853-860,1998
|
10.1142/S0217732398000929
|
DSF-T-56/97
|
hep-th
| null |
I discuss a realization of stress-tensor for parafermion theories following
the generalized Frenkel-Kac construction for higher level Kac-Moody algebras.
All the fields are obtained from $d$=rank free bosons compactified on torus.
This gives an alternative realization of Virasoro algebra in terms of a
non-local correction of a free field construction which does not fit the usual
background charge of Feigin-Fuchs approach.
|
[
{
"created": "Wed, 3 Dec 1997 12:55:35 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Dec 1997 16:08:05 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Marotta",
"Vincenzo",
""
]
] |
I discuss a realization of stress-tensor for parafermion theories following the generalized Frenkel-Kac construction for higher level Kac-Moody algebras. All the fields are obtained from $d$=rank free bosons compactified on torus. This gives an alternative realization of Virasoro algebra in terms of a non-local correction of a free field construction which does not fit the usual background charge of Feigin-Fuchs approach.
| 19.933245
| 18.100168
| 20.501646
| 16.844481
| 17.884914
| 18.577639
| 16.370829
| 17.864889
| 17.639246
| 20.422565
| 17.511724
| 16.873301
| 18.228552
| 16.287468
| 15.93994
| 16.279182
| 16.195358
| 16.810537
| 16.250565
| 17.930128
| 16.539228
|
1811.11229
|
Ali Zahabi
|
Sanjaye Ramgoolam, Mark C. Wilson and Ali Zahabi
|
Quiver Asymptotics: $\mathcal{N}=1$ Free Chiral Ring
|
19 pages, 8 figures, some clarifications on minimal critical points
are added
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The large N generating functions for the counting of chiral operators in
$\mathcal{N}=1$, four-dimensional quiver gauge theories have previously been
obtained in terms of the weighted adjacency matrix of the quiver diagram. We
introduce the methods of multi-variate asymptotic analysis to study this
counting in the limit of large charges. We describe a Hagedorn phase transition
associated with this asymptotics, which refines and generalizes known results
on the 2-matrix harmonic oscillator. Explicit results are obtained for two
infinite classes of quiver theories, namely the generalized clover quivers and
affine $\mathbb{C}^3/\hat{A}_n$ orbifold quivers.
|
[
{
"created": "Tue, 27 Nov 2018 19:54:47 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2019 15:06:29 GMT",
"version": "v2"
}
] |
2019-06-04
|
[
[
"Ramgoolam",
"Sanjaye",
""
],
[
"Wilson",
"Mark C.",
""
],
[
"Zahabi",
"Ali",
""
]
] |
The large N generating functions for the counting of chiral operators in $\mathcal{N}=1$, four-dimensional quiver gauge theories have previously been obtained in terms of the weighted adjacency matrix of the quiver diagram. We introduce the methods of multi-variate asymptotic analysis to study this counting in the limit of large charges. We describe a Hagedorn phase transition associated with this asymptotics, which refines and generalizes known results on the 2-matrix harmonic oscillator. Explicit results are obtained for two infinite classes of quiver theories, namely the generalized clover quivers and affine $\mathbb{C}^3/\hat{A}_n$ orbifold quivers.
| 10.224718
| 8.879071
| 11.16669
| 9.163311
| 9.469051
| 9.055579
| 9.802376
| 9.431346
| 8.830467
| 11.216737
| 9.299188
| 8.683893
| 9.705476
| 9.058755
| 9.279621
| 8.947015
| 8.960417
| 9.462709
| 8.99733
| 10.154219
| 8.931546
|
hep-th/0408129
|
P. Narayana Swamy
|
P. Narayana Swamy
|
Transverse Radiation realized as Deformed Harmonic Oscillators
|
14 pages, LateX, submitted for publication
|
Physica A353 (2005) 119-132
| null | null |
hep-th
| null |
We present a theory of quantized radiation fields described in terms of
q-deformed harmonic oscillators. The creation and annihilation operators
satisfy deformed commutation relations and the Fock space of states is
constructed in this formalism in terms of basic numbers familiar from the
theory of quantum groups. Expressions for the Hamiltonian and momentum arising
from deformed Heisenberg relations are obtained and their consequences
investigated. The energy momentum properties of the vacuum state are studied.
The commutation relation for the fields is shown to involve polarization sums
more intricate than those encountered in standard quantum electrodynamics, thus
requiring explicit representations of polarization vectors. The electric field
commutation rules are investigated under simplifying assumptions of
polarization states, and the commutator in the deformed theory in this case is
shown to be reminiscent of the coordinate-momentum uncertainty relation in the
theory of q-deformed quantum oscillators.
|
[
{
"created": "Wed, 18 Aug 2004 19:31:34 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Swamy",
"P. Narayana",
""
]
] |
We present a theory of quantized radiation fields described in terms of q-deformed harmonic oscillators. The creation and annihilation operators satisfy deformed commutation relations and the Fock space of states is constructed in this formalism in terms of basic numbers familiar from the theory of quantum groups. Expressions for the Hamiltonian and momentum arising from deformed Heisenberg relations are obtained and their consequences investigated. The energy momentum properties of the vacuum state are studied. The commutation relation for the fields is shown to involve polarization sums more intricate than those encountered in standard quantum electrodynamics, thus requiring explicit representations of polarization vectors. The electric field commutation rules are investigated under simplifying assumptions of polarization states, and the commutator in the deformed theory in this case is shown to be reminiscent of the coordinate-momentum uncertainty relation in the theory of q-deformed quantum oscillators.
| 10.153882
| 11.258756
| 11.47878
| 10.290345
| 10.502703
| 11.093006
| 10.747377
| 10.226152
| 10.767107
| 11.294686
| 10.28759
| 9.852601
| 10.354253
| 10.236419
| 10.147387
| 10.181597
| 9.705544
| 10.16396
| 9.847935
| 10.662237
| 9.898917
|
hep-th/0201225
|
Carlos Castro
|
Carlos Castro
|
Anti de Sitter Gravity from BF-Chern-Simons-Higgs Theories
|
6 pages, plain Tex, Revised. References are are added
|
Mod.Phys.Lett. A17 (2002) 2095-2103
|
10.1142/S0217732302008721
| null |
hep-th
| null |
It is shown that an action inspired from a BF and Chern-Simons model, based
on the $AdS_4$ isometry group SO(3, 2), with the inclusion of a Higgs potential
term, furnishes the MacDowell-Mansouri-Chamseddine-West action for gravity,
with a Gauss-Bonnet and cosmological constant term. The $AdS_4$ space is a
natural vacuum of the theory. Using Vasiliev's procedure to construct higher
spin massless fields in AdS spaces and a suitable star product, we discuss the
preliminary steps to construct the corresponding higher-spin action in $AdS_4$
space representing the higher spin extension of this model. Brief remarks on
Noncommutative Gravity are made.
|
[
{
"created": "Mon, 28 Jan 2002 17:14:59 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Apr 2002 20:34:23 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Castro",
"Carlos",
""
]
] |
It is shown that an action inspired from a BF and Chern-Simons model, based on the $AdS_4$ isometry group SO(3, 2), with the inclusion of a Higgs potential term, furnishes the MacDowell-Mansouri-Chamseddine-West action for gravity, with a Gauss-Bonnet and cosmological constant term. The $AdS_4$ space is a natural vacuum of the theory. Using Vasiliev's procedure to construct higher spin massless fields in AdS spaces and a suitable star product, we discuss the preliminary steps to construct the corresponding higher-spin action in $AdS_4$ space representing the higher spin extension of this model. Brief remarks on Noncommutative Gravity are made.
| 8.974352
| 9.123435
| 8.861151
| 8.390593
| 8.66501
| 8.327485
| 8.728581
| 8.632742
| 8.596307
| 9.458113
| 8.067408
| 8.588779
| 8.61302
| 8.476336
| 8.186363
| 8.385571
| 8.449333
| 8.532776
| 8.671608
| 8.462998
| 8.179704
|
hep-th/9702179
|
Andreas Karch
|
Andreas Karch
|
More on N=1 Self-Dualities and Exceptional Gauge Groups
|
10 pages, LaTeX2e, using utarticle.cls (included)
|
Phys.Lett. B405 (1997) 280-286
|
10.1016/S0370-2693(97)00604-7
|
HUB-EP-97/13
|
hep-th
| null |
Starting from a generalization of a recent result on self-duality we
systematically analyze self-dual models. We find a criterion to judge whether a
given model is self-dual or not. With this tool we construct some new self-dual
pairs, focussing on examples with exceptional gauge groups.
|
[
{
"created": "Tue, 25 Feb 1997 15:27:14 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Karch",
"Andreas",
""
]
] |
Starting from a generalization of a recent result on self-duality we systematically analyze self-dual models. We find a criterion to judge whether a given model is self-dual or not. With this tool we construct some new self-dual pairs, focussing on examples with exceptional gauge groups.
| 11.898889
| 10.926312
| 11.936879
| 10.48946
| 11.139554
| 10.298877
| 10.473443
| 10.509636
| 10.176003
| 12.666908
| 9.844072
| 10.84909
| 11.81915
| 10.899135
| 11.286299
| 10.563148
| 10.738693
| 10.895394
| 10.755869
| 11.921381
| 10.941657
|
hep-th/0101061
|
Richard Battye
|
R.A. Battye and B. Carter
|
Generic junction conditions in brane-world scenarios
|
6 pages
|
Phys.Lett. B509 (2001) 331-336
|
10.1016/S0370-2693(01)00495-6
| null |
hep-th
| null |
We present the generic junction conditions obeyed by a co-dimension one brane
in an arbitrary background spacetime. As well as the usual Darmois-Israel
junction conditions which relate the discontinuity in the extrinsic curvature
to the to the energy-momentum tensor of matter which is localized to the brane,
we point out that another condition must also be obeyed. This condition, which
is the analogous to Newton's second law for a point particle, is trivially
satisfied when $Z_2$ symmetry is enforced by hand, but in more general
circumstances governs the evolution of the brane world-volume. As an
illustration of its effect we compute the force on the brane due to a form
field.
|
[
{
"created": "Wed, 10 Jan 2001 17:38:31 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Battye",
"R. A.",
""
],
[
"Carter",
"B.",
""
]
] |
We present the generic junction conditions obeyed by a co-dimension one brane in an arbitrary background spacetime. As well as the usual Darmois-Israel junction conditions which relate the discontinuity in the extrinsic curvature to the to the energy-momentum tensor of matter which is localized to the brane, we point out that another condition must also be obeyed. This condition, which is the analogous to Newton's second law for a point particle, is trivially satisfied when $Z_2$ symmetry is enforced by hand, but in more general circumstances governs the evolution of the brane world-volume. As an illustration of its effect we compute the force on the brane due to a form field.
| 8.045582
| 7.759159
| 7.523664
| 7.141094
| 8.195049
| 7.627402
| 7.62709
| 7.115751
| 7.647255
| 8.251093
| 7.660635
| 7.194187
| 7.675796
| 7.637256
| 7.541221
| 7.613674
| 7.447712
| 7.440399
| 7.442567
| 7.69173
| 7.477438
|
1211.1957
|
Stefano Giusto
|
Stefano Giusto, Rodolfo Russo
|
Perturbative superstrata
|
31 pages
| null |
10.1016/j.nuclphysb.2012.12.012
|
DFPD-12-TH-15, QMUL-PH-12-16
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a particular class of D-brane bound states in type IIB string theory
(dubbed "superstrata") that describe microstates of the 5D Strominger-Vafa
black hole. By using the microscopic description in terms of open strings we
probe these configurations with generic light closed string states and from
there we obtain a linearized solution of six-dimensional supergravity
preserving four supersymmetries. We then discuss two generalizations of the
solution obtained which capture different types of non-linear corrections. By
using this construction, we can provide the first explicit example of a
superstratum solution which includes the effects of the KK-monopole dipole
charge to first order.
|
[
{
"created": "Thu, 8 Nov 2012 19:57:48 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Giusto",
"Stefano",
""
],
[
"Russo",
"Rodolfo",
""
]
] |
We study a particular class of D-brane bound states in type IIB string theory (dubbed "superstrata") that describe microstates of the 5D Strominger-Vafa black hole. By using the microscopic description in terms of open strings we probe these configurations with generic light closed string states and from there we obtain a linearized solution of six-dimensional supergravity preserving four supersymmetries. We then discuss two generalizations of the solution obtained which capture different types of non-linear corrections. By using this construction, we can provide the first explicit example of a superstratum solution which includes the effects of the KK-monopole dipole charge to first order.
| 11.104835
| 11.214309
| 12.606981
| 10.504663
| 10.902141
| 11.205516
| 10.681698
| 10.579064
| 10.653494
| 15.060616
| 10.73072
| 10.636562
| 11.706732
| 10.307764
| 10.425286
| 10.560023
| 10.395385
| 10.41375
| 10.553658
| 11.548371
| 10.35138
|
2112.02122
|
Jose Queiruga
|
J. Queiruga
|
Moduli spaces of BPS lumps with holomorphic impurities
|
22 pages, 2 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A self-dual generalization of the lump-impurity system is introduced. This
model possesses lump-antilump-like pairs as static solutions of the pertinent
Bogomolny equations. This allows for a moduli space approximation analysis of
the BPS solutions which are identified as lump-antilump configurations. Some
geometrical properties of the resulting moduli are analyzed. In addition, it is
argued that, this type of impurity models can be interpreted as a limit of
certain non-impurity theories.
|
[
{
"created": "Fri, 3 Dec 2021 19:06:54 GMT",
"version": "v1"
}
] |
2021-12-07
|
[
[
"Queiruga",
"J.",
""
]
] |
A self-dual generalization of the lump-impurity system is introduced. This model possesses lump-antilump-like pairs as static solutions of the pertinent Bogomolny equations. This allows for a moduli space approximation analysis of the BPS solutions which are identified as lump-antilump configurations. Some geometrical properties of the resulting moduli are analyzed. In addition, it is argued that, this type of impurity models can be interpreted as a limit of certain non-impurity theories.
| 14.253568
| 13.424674
| 13.568293
| 12.127696
| 12.014391
| 12.403482
| 12.21986
| 12.720324
| 11.068841
| 15.009513
| 12.493842
| 11.96928
| 13.347532
| 12.161842
| 11.642255
| 11.948157
| 11.871773
| 12.21048
| 12.283893
| 13.40665
| 11.922609
|
1612.07148
|
Damiano Anselmi
|
Damiano Anselmi
|
Algebraic cutting equations
|
33 pages, 16 figures; v2: minor changes, Ann. Phys
|
Ann. Phys. 394 (2018) 294
|
10.1016/j.aop.2018.04.034
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The cutting equations are diagrammatic identities that are used to prove
perturbative unitarity in quantum field theory. In this paper, we derive
algebraic, upgraded versions of them. Differently from the diagrammatic
versions, the algebraic identities also holds for propagators with arbitrary,
nonvanishing widths. In particular, the cut propagators do not need to vanish
off shell. The new approach provides a framework to address unsolved problems
of perturbative quantum field theory and a tool to investigate perturbative
unitarity in higher-derivative theories that are relevant to the problem of
quantum gravity, such as the Lee-Wick models and the fakeon models.
|
[
{
"created": "Wed, 21 Dec 2016 14:39:50 GMT",
"version": "v1"
},
{
"created": "Fri, 25 May 2018 05:49:41 GMT",
"version": "v2"
}
] |
2018-05-28
|
[
[
"Anselmi",
"Damiano",
""
]
] |
The cutting equations are diagrammatic identities that are used to prove perturbative unitarity in quantum field theory. In this paper, we derive algebraic, upgraded versions of them. Differently from the diagrammatic versions, the algebraic identities also holds for propagators with arbitrary, nonvanishing widths. In particular, the cut propagators do not need to vanish off shell. The new approach provides a framework to address unsolved problems of perturbative quantum field theory and a tool to investigate perturbative unitarity in higher-derivative theories that are relevant to the problem of quantum gravity, such as the Lee-Wick models and the fakeon models.
| 10.249255
| 9.888232
| 10.077037
| 8.749042
| 9.241382
| 9.435169
| 9.428857
| 9.559536
| 8.647747
| 10.226581
| 9.140181
| 8.631373
| 8.539092
| 8.592211
| 8.70506
| 8.617864
| 8.870482
| 8.657346
| 8.826089
| 8.736889
| 9.352822
|
hep-th/0407122
|
Urs Schreiber
|
Urs Schreiber
|
Nonabelian 2-forms and loop space connections from SCFT deformations
|
34 pages, general discussion of flat loop space connections added,
references added, background material and clarifications added
| null | null | null |
hep-th math-ph math.MP
| null |
It is shown how the deformation of the superconformal generators on the
string's worldsheet by a nonabelian super-Wilson line gives rise to a covariant
exterior derivative on loop space coming from a nonabelian 2-form on target
space. The expression obtained this way is new in the context of strings, and
its consistency is verified by checking that its global gauge transformations
on loop space imply the familiar gauge transformations on target space. We
derive the second order gauge transformation from infinitesimal local gauge
transformations on loop space and find that a consistent picture is obtained
only when the sum of the 2-form and the 1-form field strengths vanish. The same
condition has recently been derived from 2-group gauge theory reasoning. We
observe that this condition implies that the connection on loop space is flat,
which is a crucial sufficient condition for the nonabelian surface holonomy
induced by it to be well defined. Finally we compute the background equations
of motion of the nonabelian 2-form by canceling divergences in the deformed
boundary state.
|
[
{
"created": "Wed, 14 Jul 2004 14:30:53 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jul 2004 17:02:34 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Sep 2004 15:55:55 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Schreiber",
"Urs",
""
]
] |
It is shown how the deformation of the superconformal generators on the string's worldsheet by a nonabelian super-Wilson line gives rise to a covariant exterior derivative on loop space coming from a nonabelian 2-form on target space. The expression obtained this way is new in the context of strings, and its consistency is verified by checking that its global gauge transformations on loop space imply the familiar gauge transformations on target space. We derive the second order gauge transformation from infinitesimal local gauge transformations on loop space and find that a consistent picture is obtained only when the sum of the 2-form and the 1-form field strengths vanish. The same condition has recently been derived from 2-group gauge theory reasoning. We observe that this condition implies that the connection on loop space is flat, which is a crucial sufficient condition for the nonabelian surface holonomy induced by it to be well defined. Finally we compute the background equations of motion of the nonabelian 2-form by canceling divergences in the deformed boundary state.
| 10.984108
| 10.393327
| 11.509972
| 10.218178
| 11.115075
| 11.193698
| 11.01937
| 11.114552
| 10.370658
| 12.058435
| 10.064739
| 10.354838
| 10.699684
| 10.102736
| 10.482162
| 10.445033
| 10.248314
| 10.433224
| 10.081282
| 10.628331
| 10.217444
|
1206.5134
|
Yuri Aisaka
|
Yuri Aisaka, L. Ibiapina Bevilaqua and Brenno C. Vallilo
|
On semiclassical analysis of pure spinor superstring in an AdS_5 x S^5
background
|
36 pages
| null |
10.1007/JHEP09(2012)068
|
DESY-12-110
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Relation between semiclassical analyses of Green-Schwarz and pure spinor
formalisms in an AdS_5 x S^5 background is clarified. It is shown that the two
formalisms have identical semiclassical partition functions for a simple family
of classical solutions. It is also shown that, when the classical string is
furthermore rigid, this in turn implies that the two formalisms predict the
same one-loop corrections to spacetime energies.
|
[
{
"created": "Fri, 22 Jun 2012 12:51:13 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Aisaka",
"Yuri",
""
],
[
"Bevilaqua",
"L. Ibiapina",
""
],
[
"Vallilo",
"Brenno C.",
""
]
] |
Relation between semiclassical analyses of Green-Schwarz and pure spinor formalisms in an AdS_5 x S^5 background is clarified. It is shown that the two formalisms have identical semiclassical partition functions for a simple family of classical solutions. It is also shown that, when the classical string is furthermore rigid, this in turn implies that the two formalisms predict the same one-loop corrections to spacetime energies.
| 11.819677
| 9.693949
| 11.330037
| 8.58748
| 9.014765
| 8.805571
| 10.054702
| 8.923577
| 9.204757
| 11.412284
| 9.596467
| 8.864775
| 9.829858
| 8.897536
| 9.264132
| 8.554245
| 9.307026
| 9.070535
| 9.267336
| 10.045685
| 9.108356
|
1610.03081
|
Tim Morris Prof
|
Tim R. Morris
|
Large curvature and background scale independence in single-metric
approximations to asymptotic safety
|
34 pages, 2 figures; various small improvements
| null |
10.1007/JHEP11(2016)160
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In single-metric approximations to the exact renormalization group (RG) for
quantum gravity, it has been not been clear how to treat the large curvature
domain beyond the point where the effective cutoff scale $k$ is less than the
lowest eigenvalue of the appropriate modified Laplacian. We explain why this
puzzle arises from background dependence, resulting in Wilsonian RG concepts
being inapplicable. We show that when properly formulated over an ensemble of
backgrounds, the Wilsonian RG can be restored. This in turn implies that
solutions should be smooth and well defined no matter how large the curvature
is taken. Even for the standard single-metric type approximation schemes, this
construction can be rigorously derived by imposing a modified Ward identity
(mWI) corresponding to rescaling the background metric by a constant factor.
However compatibility in this approximation requires the space-time dimension
to be six. Solving the mWI and flow equation simultaneously, new variables are
then derived that are independent of overall background scale.
|
[
{
"created": "Mon, 10 Oct 2016 20:17:20 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Nov 2016 18:58:23 GMT",
"version": "v2"
}
] |
2016-12-21
|
[
[
"Morris",
"Tim R.",
""
]
] |
In single-metric approximations to the exact renormalization group (RG) for quantum gravity, it has been not been clear how to treat the large curvature domain beyond the point where the effective cutoff scale $k$ is less than the lowest eigenvalue of the appropriate modified Laplacian. We explain why this puzzle arises from background dependence, resulting in Wilsonian RG concepts being inapplicable. We show that when properly formulated over an ensemble of backgrounds, the Wilsonian RG can be restored. This in turn implies that solutions should be smooth and well defined no matter how large the curvature is taken. Even for the standard single-metric type approximation schemes, this construction can be rigorously derived by imposing a modified Ward identity (mWI) corresponding to rescaling the background metric by a constant factor. However compatibility in this approximation requires the space-time dimension to be six. Solving the mWI and flow equation simultaneously, new variables are then derived that are independent of overall background scale.
| 18.169905
| 17.092646
| 18.329031
| 16.35014
| 16.69084
| 16.94272
| 17.005075
| 16.380264
| 15.284447
| 19.820765
| 16.953724
| 16.02655
| 16.656652
| 16.250643
| 16.606428
| 16.196478
| 16.437778
| 16.091175
| 15.760285
| 17.151924
| 16.174225
|
hep-th/9501080
|
Connie Jones
|
R. J. Henderson and S. G. Rajeev
|
Solitons in a Bilocal Field Theory
|
Tex, 18 pages, no figures
|
Int.J.Mod.Phys. A10 (1995) 3765-3780
|
10.1142/S0217751X95001777
|
UR-1403; ER40685-850
|
hep-th
| null |
We obtain a bilocal classical field theory as the large $N$ limit of the
chiral Gross--Neveu (or non--abelian Thirring) model. Exact classical solutions
that describe topological solitons are obtained. It is shown that their mass
spectrum agrees with the large $N$ limit of the spectrum of the chiral
Gross--Neveu model.
|
[
{
"created": "Wed, 18 Jan 1995 18:08:43 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Henderson",
"R. J.",
""
],
[
"Rajeev",
"S. G.",
""
]
] |
We obtain a bilocal classical field theory as the large $N$ limit of the chiral Gross--Neveu (or non--abelian Thirring) model. Exact classical solutions that describe topological solitons are obtained. It is shown that their mass spectrum agrees with the large $N$ limit of the spectrum of the chiral Gross--Neveu model.
| 6.224426
| 4.849117
| 5.617216
| 5.08921
| 5.152844
| 5.194313
| 5.201199
| 4.943989
| 5.181077
| 5.748896
| 5.452807
| 5.530055
| 5.758403
| 5.269392
| 5.274096
| 5.298484
| 5.108457
| 5.395268
| 5.355813
| 5.57472
| 5.406038
|
hep-th/9303106
|
Andrei Linde
|
Renata Kallosh
|
Axion-Dilaton Black Holes
|
8 pages, LATEX, (Talk presented at the TEXAS/PASCOS conference,
Berkeley, December 1992)
| null |
10.1111/j.1749-6632.1993.tb43918.x
| null |
hep-th
| null |
In this talk some essential features of stringy black holes are described. We
consider charged four-dimensional axion-dilaton black holes. The Hawking
temperature and the entropy of all solutions are shown to be simple functions
of the squares of supercharges, defining the positivity bounds. Spherically
symmetric and multi black hole solutions are presented. The extreme solutions
have some unbroken supersymmetries. Axion-dilaton black holes with zero entropy
and zero area of the horizon form a family of stable particle-like objects,
which we call holons. We discuss the possibility of splitting of nearly extreme
black holes into holons.
|
[
{
"created": "Fri, 19 Mar 1993 04:31:37 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Kallosh",
"Renata",
""
]
] |
In this talk some essential features of stringy black holes are described. We consider charged four-dimensional axion-dilaton black holes. The Hawking temperature and the entropy of all solutions are shown to be simple functions of the squares of supercharges, defining the positivity bounds. Spherically symmetric and multi black hole solutions are presented. The extreme solutions have some unbroken supersymmetries. Axion-dilaton black holes with zero entropy and zero area of the horizon form a family of stable particle-like objects, which we call holons. We discuss the possibility of splitting of nearly extreme black holes into holons.
| 12.919518
| 10.776383
| 12.441153
| 10.896583
| 11.582441
| 11.941917
| 12.183414
| 11.734588
| 11.984138
| 13.816286
| 10.742597
| 11.185886
| 11.828354
| 11.301649
| 11.057505
| 11.310884
| 11.145026
| 11.45848
| 11.272632
| 11.979065
| 11.235208
|
0805.1009
|
Fabio Ferrari Ruffino
|
Fabio Ferrari Ruffino and Raffaele Savelli
|
Comparing two approaches to the K-theory classification of D-branes
|
34 pages, no figures
|
J.Geom.Phys. 61:191-212,2011
|
10.1016/j.geomphys.2010.10.001
| null |
hep-th math-ph math.KT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the two main classification methods of D-brane charges via
K-theory, in type II superstring theory with vanishing B-field: the Gysin map
approach and the one based on the Atiyah-Hirzebruch spectral sequence. Then, we
find out an explicit link between these two approaches: the Gysin map provides
a representative element of the equivalence class obtained via the spectral
sequence. We also briefly discuss the case of rational coefficients,
characterized by a complete equivalence between the two classification methods.
|
[
{
"created": "Wed, 7 May 2008 16:06:47 GMT",
"version": "v1"
},
{
"created": "Sat, 10 May 2008 16:19:38 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Feb 2010 23:58:05 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Oct 2010 19:50:32 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Ruffino",
"Fabio Ferrari",
""
],
[
"Savelli",
"Raffaele",
""
]
] |
We consider the two main classification methods of D-brane charges via K-theory, in type II superstring theory with vanishing B-field: the Gysin map approach and the one based on the Atiyah-Hirzebruch spectral sequence. Then, we find out an explicit link between these two approaches: the Gysin map provides a representative element of the equivalence class obtained via the spectral sequence. We also briefly discuss the case of rational coefficients, characterized by a complete equivalence between the two classification methods.
| 9.80785
| 8.786585
| 11.12628
| 8.658237
| 10.035083
| 9.071199
| 9.076507
| 8.382637
| 8.63834
| 11.581857
| 8.950172
| 8.790721
| 9.783094
| 8.749915
| 9.157394
| 8.810188
| 9.000717
| 8.712851
| 8.874183
| 9.418403
| 8.98305
|
2007.09092
|
Paul K. Townsend
|
Igor Bandos, Kurt Lechner, Dmitri Sorokin, Paul K. Townsend
|
A non-linear duality-invariant conformal extension of Maxwell's
equations
|
5 pages. v2 includes many simplifications and additional references,
and additional material on birefringence
|
Phys. Rev. D 102, 121703 (2020)
|
10.1103/PhysRevD.102.121703
| null |
hep-th hep-ph physics.class-ph physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
All nonlinear extensions of the source-free Maxwell equations preserving both
SO(2) electromagnetic duality invariance and conformal invariance are found,
and shown to be limits of a one-parameter generalisation of Born-Infeld
electrodynamics. The strong-field limit is the same as that found by
Bialynicki-Birula from Born-Infeld theory but the weak-field limit is a new
one-parameter extension of Maxwell electrodynamics, which is interacting but
admits exact light-velocity plane-wave solutions of arbitrary polarisation.
Small-amplitude waves on a constant uniform electromagnetic background exhibit
birefringence, but one polarisation mode remains lightlike.
|
[
{
"created": "Fri, 17 Jul 2020 16:16:55 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Nov 2020 18:05:27 GMT",
"version": "v2"
}
] |
2021-01-04
|
[
[
"Bandos",
"Igor",
""
],
[
"Lechner",
"Kurt",
""
],
[
"Sorokin",
"Dmitri",
""
],
[
"Townsend",
"Paul K.",
""
]
] |
All nonlinear extensions of the source-free Maxwell equations preserving both SO(2) electromagnetic duality invariance and conformal invariance are found, and shown to be limits of a one-parameter generalisation of Born-Infeld electrodynamics. The strong-field limit is the same as that found by Bialynicki-Birula from Born-Infeld theory but the weak-field limit is a new one-parameter extension of Maxwell electrodynamics, which is interacting but admits exact light-velocity plane-wave solutions of arbitrary polarisation. Small-amplitude waves on a constant uniform electromagnetic background exhibit birefringence, but one polarisation mode remains lightlike.
| 9.077364
| 8.85952
| 8.649083
| 8.518242
| 8.66781
| 8.004917
| 8.197728
| 8.146494
| 8.295121
| 9.387404
| 7.747325
| 8.270929
| 8.000679
| 7.911553
| 8.070501
| 8.09055
| 8.687515
| 8.122994
| 8.013702
| 8.443516
| 8.237824
|
1003.0523
|
Antonio Amariti
|
Antonio Amariti, Luciano Girardello, Alberto Mariotti, Massimo Siani
|
Metastable Vacua in Superconformal SQCD-like Theories
|
17 pages, 7 figures, JHEP3.cls
|
JHEP 1102:092,2011
|
10.1007/JHEP02(2011)092
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study dynamical supersymmetry breaking in vector-like superconformal N=1
gauge theories. We find appropriate deformations of the superpotential to
overcome the problem of the instability of the non supersymmetric vacuum. The
request for long lifetime translates into constraints on the physical couplings
which in this regime can be controlled through efficient RG analysis.
|
[
{
"created": "Tue, 2 Mar 2010 20:17:24 GMT",
"version": "v1"
}
] |
2011-03-18
|
[
[
"Amariti",
"Antonio",
""
],
[
"Girardello",
"Luciano",
""
],
[
"Mariotti",
"Alberto",
""
],
[
"Siani",
"Massimo",
""
]
] |
We study dynamical supersymmetry breaking in vector-like superconformal N=1 gauge theories. We find appropriate deformations of the superpotential to overcome the problem of the instability of the non supersymmetric vacuum. The request for long lifetime translates into constraints on the physical couplings which in this regime can be controlled through efficient RG analysis.
| 19.059103
| 18.396378
| 18.789112
| 17.390863
| 19.172358
| 19.164642
| 16.689209
| 19.06978
| 18.343523
| 18.67635
| 18.986967
| 17.495203
| 18.423704
| 17.790808
| 17.944756
| 17.271906
| 17.315699
| 17.509529
| 17.359991
| 19.076565
| 17.838699
|
1503.08130
|
Ashoke Sen
|
Ashoke Sen
|
Riding Gravity Away from Doomsday
|
LaTeX file, 8 pages, prepared for 2015 essay competition of gravity
research foundation
| null |
10.1142/S0218271815440046
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The discovery that most of the energy density in the universe is stored in
the form of dark energy has profound consequences for our future. In particular
our current limited understanding of quantum theory of gravity indicates that
some time in the future our universe will undergo a phase transition that will
destroy us and everything else around us instantaneously. However the laws of
gravity also suggest a way out -- some of our descendants could survive this
catastrophe by riding gravity away from the danger. In this essay I describe
the tale of this escape from doomsday.
|
[
{
"created": "Fri, 27 Mar 2015 16:25:26 GMT",
"version": "v1"
}
] |
2015-12-09
|
[
[
"Sen",
"Ashoke",
""
]
] |
The discovery that most of the energy density in the universe is stored in the form of dark energy has profound consequences for our future. In particular our current limited understanding of quantum theory of gravity indicates that some time in the future our universe will undergo a phase transition that will destroy us and everything else around us instantaneously. However the laws of gravity also suggest a way out -- some of our descendants could survive this catastrophe by riding gravity away from the danger. In this essay I describe the tale of this escape from doomsday.
| 13.324877
| 11.582718
| 12.895228
| 11.369683
| 12.738889
| 14.878406
| 12.900686
| 13.056714
| 12.160519
| 13.7154
| 12.390607
| 11.602582
| 11.170074
| 11.489201
| 11.65513
| 12.330662
| 11.530293
| 11.680754
| 11.893817
| 11.803068
| 12.021411
|
1204.1193
|
Fulvio Sbis\`a
|
Fulvio Sbis\`a, Gustavo Niz, Kazuya Koyama and Gianmassimo Tasinato
|
Characterising Vainshtein Solutions in Massive Gravity
|
21 pages, 7 figures, published version
|
Phys. Rev. D86, 024033 (2012)
|
10.1103/PhysRevD.86.024033
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study static, spherically symmetric solutions in a recently proposed
ghost-free model of non-linear massive gravity. We focus on a branch of
solutions where the helicity-0 mode can be strongly coupled within certain
radial regions, giving rise to the Vainshtein effect. We truncate the analysis
to scales below the gravitational Compton wavelength, and consider the weak
field limit for the gravitational potentials, while keeping all non-linearities
of the helicity-0 mode. We determine analytically the number and properties of
local solutions which exist asymptotically on large scales, and of local
(inner) solutions which exist on small scales. We find two kinds of asymptotic
solutions, one of which is asymptotically flat, while the other one is not, and
also two types of inner solutions, one of which displays the Vainshtein
mechanism, while the other exhibits a self-shielding behaviour of the
gravitational field. We analyse in detail in which cases the solutions match in
an intermediate region. The asymptotically flat solutions connect only to inner
configurations displaying the Vainshtein mechanism, while the non
asymptotically flat solutions can connect with both kinds of inner solutions.
We show furthermore that there are some regions in the parameter space where
global solutions do not exist, and characterise precisely in which regions of
the phase space the Vainshtein mechanism takes place.
|
[
{
"created": "Thu, 5 Apr 2012 12:12:12 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Apr 2012 17:24:50 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jun 2014 12:42:02 GMT",
"version": "v3"
}
] |
2018-05-18
|
[
[
"Sbisà",
"Fulvio",
""
],
[
"Niz",
"Gustavo",
""
],
[
"Koyama",
"Kazuya",
""
],
[
"Tasinato",
"Gianmassimo",
""
]
] |
We study static, spherically symmetric solutions in a recently proposed ghost-free model of non-linear massive gravity. We focus on a branch of solutions where the helicity-0 mode can be strongly coupled within certain radial regions, giving rise to the Vainshtein effect. We truncate the analysis to scales below the gravitational Compton wavelength, and consider the weak field limit for the gravitational potentials, while keeping all non-linearities of the helicity-0 mode. We determine analytically the number and properties of local solutions which exist asymptotically on large scales, and of local (inner) solutions which exist on small scales. We find two kinds of asymptotic solutions, one of which is asymptotically flat, while the other one is not, and also two types of inner solutions, one of which displays the Vainshtein mechanism, while the other exhibits a self-shielding behaviour of the gravitational field. We analyse in detail in which cases the solutions match in an intermediate region. The asymptotically flat solutions connect only to inner configurations displaying the Vainshtein mechanism, while the non asymptotically flat solutions can connect with both kinds of inner solutions. We show furthermore that there are some regions in the parameter space where global solutions do not exist, and characterise precisely in which regions of the phase space the Vainshtein mechanism takes place.
| 6.331166
| 6.426267
| 6.32794
| 6.044837
| 6.387162
| 6.527703
| 6.863644
| 6.191669
| 6.305945
| 6.486217
| 6.305433
| 6.167236
| 6.385058
| 6.231979
| 6.30393
| 6.273451
| 6.300667
| 6.315026
| 6.26065
| 6.324691
| 6.205648
|
0808.2310
|
Kallosh Renata
|
Renata Kallosh
|
On a possibility of a UV finite N=8 supergravity
|
17 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Lorentz covariant all-loop counterterms built in the 4+32 on shell
superspace of N=8 supergravity imply that the theory is not UV finite.
Meanwhile, the relevant counterterms depending on the light-cone superfields in
4+16 superspace have not been constructed so far. Our first attempt to
construct them suggests that they may be incompatible with the covariant ones.
This would lead to a prediction of all-loop UV finiteness of the perturbative
S-matrix. Here we rely on the validity of the equivalence theorem for the
S-matrix in the light-cone gauge and Lorentz covariant gauges, which requires
the absence of BRST anomalies. We discuss the status of N=8 SU(8) and E7
anomalies. It remains an outstanding problem to construct the light-cone
counterterms or to confirm our current conclusion.
|
[
{
"created": "Mon, 18 Aug 2008 15:11:26 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Nov 2008 22:58:55 GMT",
"version": "v2"
}
] |
2008-11-16
|
[
[
"Kallosh",
"Renata",
""
]
] |
The Lorentz covariant all-loop counterterms built in the 4+32 on shell superspace of N=8 supergravity imply that the theory is not UV finite. Meanwhile, the relevant counterterms depending on the light-cone superfields in 4+16 superspace have not been constructed so far. Our first attempt to construct them suggests that they may be incompatible with the covariant ones. This would lead to a prediction of all-loop UV finiteness of the perturbative S-matrix. Here we rely on the validity of the equivalence theorem for the S-matrix in the light-cone gauge and Lorentz covariant gauges, which requires the absence of BRST anomalies. We discuss the status of N=8 SU(8) and E7 anomalies. It remains an outstanding problem to construct the light-cone counterterms or to confirm our current conclusion.
| 12.559391
| 11.618427
| 13.501958
| 10.887143
| 11.619375
| 12.466432
| 11.171982
| 11.542728
| 10.298067
| 12.810469
| 10.717515
| 11.045981
| 11.686255
| 11.583303
| 11.300264
| 11.29068
| 10.901694
| 11.754678
| 10.935098
| 11.581848
| 11.146972
|
hep-th/0002108
|
Oleg Shvedov
|
O.Yu.Shvedov
|
Time Evolution in the External Field: the Unitarity Paradox
|
25 pages, LaTex2e, 1 figure
|
AnnalsPhys.287:260-290,2001
|
10.1006/aphy.2000.6101
| null |
hep-th
| null |
One of the axioms of quantum field theory is the property of unitarity of the
evolution operator. However, if one considers the quantum electrodynamics in
the external field in the leading order of perturbation theory, one will find
that the evolution transformation is a non-unitary canonical transformation of
creation and annihilation operators. This observation was one of the arguments
for the hypothesis that one should choose different representations of the
canonical commutation relations at different moments of time in the exact
quantum field theory. In this paper the contradiction is analyzed for the case
of a simple quantum mechanical model being an analog of the leading order of
the large-N field theory. On the one hand, this model is renormalized with the
help of the constructive field theory methods; the Hilbert space and unitary
evolution operator are constructed. On the other hand, the leading order of the
evolution transformation in the strong external field is shown to be
non-unitary. Thus, unitarity of evolution in the exact theory is not in
contradiction with non-unitarity of the approximate theory.
|
[
{
"created": "Mon, 14 Feb 2000 10:48:01 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Shvedov",
"O. Yu.",
""
]
] |
One of the axioms of quantum field theory is the property of unitarity of the evolution operator. However, if one considers the quantum electrodynamics in the external field in the leading order of perturbation theory, one will find that the evolution transformation is a non-unitary canonical transformation of creation and annihilation operators. This observation was one of the arguments for the hypothesis that one should choose different representations of the canonical commutation relations at different moments of time in the exact quantum field theory. In this paper the contradiction is analyzed for the case of a simple quantum mechanical model being an analog of the leading order of the large-N field theory. On the one hand, this model is renormalized with the help of the constructive field theory methods; the Hilbert space and unitary evolution operator are constructed. On the other hand, the leading order of the evolution transformation in the strong external field is shown to be non-unitary. Thus, unitarity of evolution in the exact theory is not in contradiction with non-unitarity of the approximate theory.
| 6.910848
| 6.748589
| 7.103495
| 6.838395
| 6.683533
| 7.046244
| 6.752458
| 6.92433
| 7.007571
| 7.644875
| 6.720786
| 6.956706
| 6.915136
| 6.737999
| 6.499029
| 6.69502
| 6.848082
| 6.835481
| 6.731225
| 6.991178
| 6.589332
|
2110.08301
|
Giuseppe Dibitetto
|
Giuseppe Dibitetto
|
Positive energy and non-SUSY flows in ISO(7) gauged supergravity
|
Minor changes, refs added, published version; 18 pages, 6 figures
|
Universe 2022, 8(5), 293
|
10.3390/universe8050293
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider maximal gauged supergravity in 4D with ISO(7) gauge group, which
arises from a consistent truncation of massive IIA supergravity on a
six-sphere. Within its G$_2$ invariant sector, the theory is known to possess a
supersymmetric AdS extremum as well as two non-supersymmetric ones. In this
context we provide a first order formulation of the theory by making use of the
Hamilton-Jacobi (HJ) formalism. This allows us to derive a positive energy
theorem for both non-supersymmetric extrema. Subsequently, we also find novel
non-supersymmetric domain walls (DW) interpolating between the supersymmetric
extremum and each of the other two. Finally, we discuss a perturbative HJ
technique that may be used in order to solve for curved DW geometries.
|
[
{
"created": "Fri, 15 Oct 2021 18:20:13 GMT",
"version": "v1"
},
{
"created": "Sat, 28 May 2022 08:13:23 GMT",
"version": "v2"
}
] |
2022-07-19
|
[
[
"Dibitetto",
"Giuseppe",
""
]
] |
We consider maximal gauged supergravity in 4D with ISO(7) gauge group, which arises from a consistent truncation of massive IIA supergravity on a six-sphere. Within its G$_2$ invariant sector, the theory is known to possess a supersymmetric AdS extremum as well as two non-supersymmetric ones. In this context we provide a first order formulation of the theory by making use of the Hamilton-Jacobi (HJ) formalism. This allows us to derive a positive energy theorem for both non-supersymmetric extrema. Subsequently, we also find novel non-supersymmetric domain walls (DW) interpolating between the supersymmetric extremum and each of the other two. Finally, we discuss a perturbative HJ technique that may be used in order to solve for curved DW geometries.
| 6.696194
| 6.651333
| 7.428207
| 6.345782
| 6.69057
| 6.649101
| 6.899481
| 6.480217
| 6.258747
| 7.283801
| 6.062581
| 6.298002
| 6.647444
| 6.162706
| 6.282072
| 6.448698
| 6.331776
| 6.259736
| 6.109817
| 6.437846
| 6.268364
|
2403.06787
|
Yizhuang Liu
|
Yizhuang Liu
|
Bjorken and threshold asymptotics of a space-like structure function in
the 2D $U(N)$ Gross-Neveu model
|
This work has 42 pages. Restructured and improved presentation. A new
section on the relationship between momentum space and coordinate space
expansions added
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we investigate a coordinate space structure function ${\cal
E}(z^2m^2,\lambda)$ in the 2D $U(N)$ Gross-Neveu model to the next-to-leading
order in the large-$N$ expansion. We analytically perform the twist expansion
in the Bjorken limit through double Mellin representations. Hard and
non-perturbative scaling functions are naturally generated in their Borel
representations with detailed enumerations and explicit expressions provided to
all powers. The renormalon cancellation at $t=n$ between the hard functions at
powers $p$ and the non-perturbative functions at powers $p+n$ are explicitly
verified, and the issue of ``scale-dependency'' of the perturbative and
non-perturbative functions is explained naturally. Simple expressions for the
leading power non-perturbative functions are also provided both in the
coordinate space and the momentum-fraction space ($0<\alpha<1$) with
``zero-mode-type'' subtractions at $\alpha=0$ discussed in detail. In addition
to the Bjorken limit, we also perform the threshold expansion of the structure
function up to the next-to-next-to-leading threshold power exactly and
investigate the resurgence relation between threshold and ``Regge''
asymptotics. We also prove that the twist expansion is absolutely convergent
for any $0<z^2<\infty$ and any $ \lambda \in iR_{\ge 0}$.
|
[
{
"created": "Mon, 11 Mar 2024 15:03:33 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Mar 2024 17:45:59 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Mar 2024 17:50:34 GMT",
"version": "v3"
},
{
"created": "Mon, 1 Apr 2024 13:50:37 GMT",
"version": "v4"
}
] |
2024-04-02
|
[
[
"Liu",
"Yizhuang",
""
]
] |
In this work, we investigate a coordinate space structure function ${\cal E}(z^2m^2,\lambda)$ in the 2D $U(N)$ Gross-Neveu model to the next-to-leading order in the large-$N$ expansion. We analytically perform the twist expansion in the Bjorken limit through double Mellin representations. Hard and non-perturbative scaling functions are naturally generated in their Borel representations with detailed enumerations and explicit expressions provided to all powers. The renormalon cancellation at $t=n$ between the hard functions at powers $p$ and the non-perturbative functions at powers $p+n$ are explicitly verified, and the issue of ``scale-dependency'' of the perturbative and non-perturbative functions is explained naturally. Simple expressions for the leading power non-perturbative functions are also provided both in the coordinate space and the momentum-fraction space ($0<\alpha<1$) with ``zero-mode-type'' subtractions at $\alpha=0$ discussed in detail. In addition to the Bjorken limit, we also perform the threshold expansion of the structure function up to the next-to-next-to-leading threshold power exactly and investigate the resurgence relation between threshold and ``Regge'' asymptotics. We also prove that the twist expansion is absolutely convergent for any $0<z^2<\infty$ and any $ \lambda \in iR_{\ge 0}$.
| 10.624136
| 11.654144
| 10.203385
| 10.168546
| 11.381674
| 12.465674
| 11.454787
| 11.242171
| 10.13737
| 11.868651
| 10.120188
| 10.334035
| 10.164493
| 10.019998
| 10.358288
| 10.265892
| 10.346061
| 10.462033
| 9.892988
| 10.378078
| 9.992518
|
hep-th/9807007
|
Jose Manuel Izquierdo
|
J. M. Izquierdo
|
Free differential algebras and generic 2D dilatonic (super)gravities
|
19 pages, LateX
|
Phys.Rev. D59 (1999) 084017
|
10.1103/PhysRevD.59.084017
| null |
hep-th gr-qc
| null |
The field equations for both generic bosonic and generic locally
supersymmetric 2D dilatonic gravity theories in the absence of matter are
written as free differential algebras. This constitutes a generalization of the
gauge theoretic formulation. Moreover, it is shown that the condition of free
differential algebra can be used to obtain the equations in the locally
supersymmetric case. Using this formulation, the general solution of the field
equations is found in the language of differential forms. The relation with the
ordinary formulation and the coupling to supersymmetric conformal matter are
also studied.
|
[
{
"created": "Wed, 1 Jul 1998 15:52:54 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Izquierdo",
"J. M.",
""
]
] |
The field equations for both generic bosonic and generic locally supersymmetric 2D dilatonic gravity theories in the absence of matter are written as free differential algebras. This constitutes a generalization of the gauge theoretic formulation. Moreover, it is shown that the condition of free differential algebra can be used to obtain the equations in the locally supersymmetric case. Using this formulation, the general solution of the field equations is found in the language of differential forms. The relation with the ordinary formulation and the coupling to supersymmetric conformal matter are also studied.
| 10.285273
| 9.40348
| 10.053886
| 9.413805
| 9.630379
| 10.202974
| 9.973906
| 9.561533
| 9.042005
| 10.349736
| 8.630953
| 9.262269
| 9.541978
| 9.572384
| 9.382368
| 9.338732
| 9.37431
| 9.371271
| 9.581759
| 10.266075
| 9.171601
|
hep-th/9306119
|
Sonoda
|
Hidenori Sonoda
|
Connection on the theory space
|
4 pages (plain TeX), UCLA/93/TEP/21
| null | null | null |
hep-th
| null |
By studying the geometric properties of correlation functions on the theory
space, we are naturally led to a connection for the infinite dimensional vector
bundle of composite fields over the theory space. We show how the short
distance singularities of the theory are determined by the geometry of the
theory space, i.e., the connection, beta functions, and anomalous dimensions.
(This is a summary of the talk given at Strings '93 in Berkeley. The
unnecessary blank lines in the original version have been removed in this
revised version.)
|
[
{
"created": "Tue, 22 Jun 1993 20:45:33 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jun 1993 21:16:05 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Sonoda",
"Hidenori",
""
]
] |
By studying the geometric properties of correlation functions on the theory space, we are naturally led to a connection for the infinite dimensional vector bundle of composite fields over the theory space. We show how the short distance singularities of the theory are determined by the geometry of the theory space, i.e., the connection, beta functions, and anomalous dimensions. (This is a summary of the talk given at Strings '93 in Berkeley. The unnecessary blank lines in the original version have been removed in this revised version.)
| 13.9546
| 10.607445
| 12.102497
| 11.471964
| 11.110332
| 9.98208
| 10.100201
| 9.931356
| 10.085637
| 12.024759
| 11.031806
| 11.355453
| 11.735485
| 11.105486
| 11.49755
| 11.278254
| 11.404763
| 10.654716
| 10.37048
| 11.882697
| 11.536106
|
1607.05866
|
Fen Zuo
|
Fen Zuo
|
A note on the architecture of spacetime geometry
|
An intuitive comparison with the recent Witten-Costello construction
for the integrable lattice models is made; a few improper statements and
misleading notations are corrected
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently the $\text{SU}(2)$ spin-network states in loop quantum gravity is
generalized to those of the corresponding affine Lie algebra. We show that if
one literally starts from the full $\text{SL}(2,\mathbb{C})$ group, this
procedure naturally leads to the Bekenstein-Hawking formula of the entanglement
entropy for any macroscopic spacetime region. This suggests that a smooth
spacetime geometry could be recovered in such a way, as conjectured by Bianchi
and Myers. Some comparison with Xiao-Gang Wen's string-net picture of gauge
theory is made.
|
[
{
"created": "Wed, 20 Jul 2016 08:57:52 GMT",
"version": "v1"
},
{
"created": "Tue, 23 May 2017 12:27:16 GMT",
"version": "v2"
}
] |
2017-05-24
|
[
[
"Zuo",
"Fen",
""
]
] |
Recently the $\text{SU}(2)$ spin-network states in loop quantum gravity is generalized to those of the corresponding affine Lie algebra. We show that if one literally starts from the full $\text{SL}(2,\mathbb{C})$ group, this procedure naturally leads to the Bekenstein-Hawking formula of the entanglement entropy for any macroscopic spacetime region. This suggests that a smooth spacetime geometry could be recovered in such a way, as conjectured by Bianchi and Myers. Some comparison with Xiao-Gang Wen's string-net picture of gauge theory is made.
| 12.854753
| 12.263318
| 11.734403
| 12.142776
| 13.216751
| 13.824248
| 13.460322
| 12.25841
| 12.673651
| 13.651503
| 13.225762
| 11.369507
| 11.786659
| 11.240982
| 11.407921
| 11.391039
| 11.484586
| 11.275546
| 11.51721
| 11.697419
| 11.293407
|
hep-th/0305257
|
Alberto Guijosa
|
Xavier Amador, Elena Caceres, Hugo Garcia-Compean (CINVESTAV), Alberto
Guijosa (ICN-UNAM)
|
Conifold Holography
|
LaTeX 2e, 32 pages
|
JHEP 0306:049,2003
|
10.1088/1126-6708/2003/06/049
|
CINVESTAV-FIS-03/08, ICN-UNAM-03/06
|
hep-th
| null |
We examine the extension of the Klebanov-Witten gauge/gravity correspondence
away from the low-energy conformal limit, to a duality involving the full,
asymptotically Ricci-flat background describing three-branes on the conifold.
After a discussion of the nature of this duality at the string theory level
(prior to taking any limits), we concentrate on the intermediate-energy regime
where excited string modes are negligible but the branes are still coupled to
the bulk. Building upon previous work, we are able to characterize the
effective D3-brane worldvolume action in this regime as an IR deformation of
the Klebanov-Witten N=1 superconformal gauge theory by a specific
dimension-eight operator. In addition, we compute the two-point functions of
the operators dual to all partial waves of the dilaton on the
conifold-three-brane background, and subject them to various checks.
|
[
{
"created": "Thu, 29 May 2003 20:55:28 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jun 2003 19:16:21 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Amador",
"Xavier",
"",
"CINVESTAV"
],
[
"Caceres",
"Elena",
"",
"CINVESTAV"
],
[
"Garcia-Compean",
"Hugo",
"",
"CINVESTAV"
],
[
"Guijosa",
"Alberto",
"",
"ICN-UNAM"
]
] |
We examine the extension of the Klebanov-Witten gauge/gravity correspondence away from the low-energy conformal limit, to a duality involving the full, asymptotically Ricci-flat background describing three-branes on the conifold. After a discussion of the nature of this duality at the string theory level (prior to taking any limits), we concentrate on the intermediate-energy regime where excited string modes are negligible but the branes are still coupled to the bulk. Building upon previous work, we are able to characterize the effective D3-brane worldvolume action in this regime as an IR deformation of the Klebanov-Witten N=1 superconformal gauge theory by a specific dimension-eight operator. In addition, we compute the two-point functions of the operators dual to all partial waves of the dilaton on the conifold-three-brane background, and subject them to various checks.
| 10.116345
| 9.139189
| 11.509396
| 9.644044
| 9.601316
| 9.162151
| 9.618078
| 9.582973
| 9.441121
| 11.523219
| 9.307091
| 9.371905
| 10.216563
| 9.410619
| 9.549256
| 9.439568
| 9.664114
| 9.248429
| 9.49957
| 9.914071
| 9.215007
|
hep-th/9506087
|
Shin Hyun Jong
|
Q-Han Park and H.J. Shin (Kyung Hee Univ.)
|
Duality in Complex sine-Gordon Theory
|
10 pages, LaTex
|
Phys.Lett. B359 (1995) 125-132
|
10.1016/0370-2693(95)01032-L
|
SNUCTP 95-66
|
hep-th
| null |
New aspects of the complex sine-Gordon theory are addressed through the
reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A
dual transformation between the theory for the coupling constant $\b > 0$ and
the theory for $\b < 0$ is given which agrees with the Krammers-Wannier duality
in the context of perturbed conformal field theory. The B\"{a}cklund transform
and the nonlinear superposition rule for the complex sine-Gordon theory are
presented and from which, exact solutions, solitons and breathers with U(1)
charge, are derived. We clarify topological and nontopological nature of
neutral and charged solitons respectively, and discuss about the duality
between the vector and the axial U(1) charges.
|
[
{
"created": "Tue, 13 Jun 1995 09:02:16 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Park",
"Q-Han",
"",
"Kyung Hee Univ."
],
[
"Shin",
"H. J.",
"",
"Kyung Hee Univ."
]
] |
New aspects of the complex sine-Gordon theory are addressed through the reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A dual transformation between the theory for the coupling constant $\b > 0$ and the theory for $\b < 0$ is given which agrees with the Krammers-Wannier duality in the context of perturbed conformal field theory. The B\"{a}cklund transform and the nonlinear superposition rule for the complex sine-Gordon theory are presented and from which, exact solutions, solitons and breathers with U(1) charge, are derived. We clarify topological and nontopological nature of neutral and charged solitons respectively, and discuss about the duality between the vector and the axial U(1) charges.
| 7.819683
| 6.937612
| 7.966701
| 7.096838
| 6.902006
| 7.179749
| 6.675475
| 6.522704
| 6.878709
| 8.416543
| 6.927178
| 6.873368
| 7.329092
| 7.336962
| 7.26168
| 7.257189
| 7.115149
| 7.12772
| 7.097652
| 7.239275
| 6.923345
|
hep-th/0401113
|
Hartmut Wachter
|
Hartmut Wachter
|
q-Exponentials on quantum spaces
|
34 pages, Latex, more detailed introduction, 2-dim. case included,
major modifications to improve clarity, appendix with proofs, notations etc.
added, references added, typos corrected, some parts of appendices skipped
|
Eur.Phys.J.C37:379-389,2004
|
10.1140/epjc/s2004-01999-5
| null |
hep-th
| null |
We present explicit formulae for q-exponentials on quantum spaces which could
be of particular importance in physics, i.e. the q-deformed Minkowski-space and
the q-deformed Euclidean space with two, three or four dimensions. Furthermore,
these formulae can be viewed as 2-, 3- or 4-dimensional analogues of the
well-known q-exponential function.
|
[
{
"created": "Fri, 16 Jan 2004 18:29:41 GMT",
"version": "v1"
},
{
"created": "Wed, 19 May 2004 12:55:07 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Oct 2004 09:46:40 GMT",
"version": "v3"
}
] |
2011-09-13
|
[
[
"Wachter",
"Hartmut",
""
]
] |
We present explicit formulae for q-exponentials on quantum spaces which could be of particular importance in physics, i.e. the q-deformed Minkowski-space and the q-deformed Euclidean space with two, three or four dimensions. Furthermore, these formulae can be viewed as 2-, 3- or 4-dimensional analogues of the well-known q-exponential function.
| 7.481789
| 6.469999
| 7.773698
| 7.02369
| 7.255737
| 6.875252
| 6.369689
| 6.665172
| 6.681593
| 9.108978
| 7.36985
| 7.063494
| 8.012956
| 7.131197
| 7.241659
| 7.158726
| 6.669727
| 7.009102
| 7.329069
| 7.674276
| 7.325958
|
hep-th/0303195
|
Roman V. Buniy
|
Roman V. Buniy and Thomas W. Kephart
|
On the existence of finite-energy lumps in classic field theories
|
4 pages, 1 figure; substantial changes
|
Phys.Rev. D68 (2003) 105015
|
10.1103/PhysRevD.68.105015
| null |
hep-th
| null |
We show how the existence of non-trivial finite-energy time-dependent
classical lumps is restricted by a generalized virial theorem. For simple model
Lagrangians, bounds on energies follow.
|
[
{
"created": "Sat, 22 Mar 2003 00:00:51 GMT",
"version": "v1"
},
{
"created": "Fri, 23 May 2003 04:55:26 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Buniy",
"Roman V.",
""
],
[
"Kephart",
"Thomas W.",
""
]
] |
We show how the existence of non-trivial finite-energy time-dependent classical lumps is restricted by a generalized virial theorem. For simple model Lagrangians, bounds on energies follow.
| 24.925552
| 21.043831
| 19.933027
| 18.551159
| 18.530533
| 19.564917
| 18.435537
| 19.595058
| 16.091053
| 21.954834
| 18.03348
| 20.070368
| 22.153877
| 20.505064
| 20.762585
| 20.180136
| 20.638407
| 20.990206
| 20.3027
| 22.836895
| 20.176601
|
2008.07156
|
Yoji Michishita
|
Yoji Michishita
|
On First Order Symmetry Operators for the Field Equations of
Differential Forms
|
33 pages
| null |
10.1088/1361-6382/abbf2f
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider first order symmetry operators for the equations of motion of
differential $p$-form fields in general $D$-dimensional background geometry of
any signature for both massless and massive cases. For $p=1$ and $p=2$ we give
the general forms of the symmetry operators. Then we find a class of symmetry
operators for arbitrary $p$ and $D$, which is naturally suggested by the lower
$p$ results.
|
[
{
"created": "Mon, 17 Aug 2020 08:46:49 GMT",
"version": "v1"
}
] |
2021-02-03
|
[
[
"Michishita",
"Yoji",
""
]
] |
We consider first order symmetry operators for the equations of motion of differential $p$-form fields in general $D$-dimensional background geometry of any signature for both massless and massive cases. For $p=1$ and $p=2$ we give the general forms of the symmetry operators. Then we find a class of symmetry operators for arbitrary $p$ and $D$, which is naturally suggested by the lower $p$ results.
| 7.638911
| 6.698781
| 6.606308
| 6.568921
| 6.351747
| 6.117139
| 6.431224
| 6.070608
| 7.069458
| 6.842302
| 6.432348
| 6.487562
| 7.195736
| 6.759458
| 6.797815
| 6.793279
| 6.674762
| 6.676551
| 6.632764
| 6.98495
| 6.547584
|
1202.5271
|
Darren Smyth Mr.
|
Moshe Rozali, Darren Smyth and Evgeny Sorkin
|
Holographic Higgs Phases
|
Corrected typos
| null |
10.1007/JHEP08(2012)118
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss phases of gauge theories in the holographic context, and formulate
a criterion for the existence of a Higgs phase, where the gauge redundancy is
"spontaneously broken", in purely bulk language. This condition, the existence
of a finite tension solitonic string representing a narrow magnetic flux tube,
is necessary for a bulk theory to be interpreted as a Higgs phase of a boundary
gauge theory. We demonstrate the existence of such solitons in both top-down
and bottom-up examples of holographic theories. In particular, we numerically
construct new solitonic solutions in AdS black hole background, for various
values of the boundary gauge coupling, which are used to demonstrate that the
bulk theory models a superconductor, rather than a superfluid. The criterion we
find is expected to be useful in finding holographic duals of color
superconducting phases of gauge theories at finite density.
|
[
{
"created": "Thu, 23 Feb 2012 19:43:15 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2012 22:11:54 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Dec 2015 22:14:10 GMT",
"version": "v3"
}
] |
2015-12-15
|
[
[
"Rozali",
"Moshe",
""
],
[
"Smyth",
"Darren",
""
],
[
"Sorkin",
"Evgeny",
""
]
] |
We discuss phases of gauge theories in the holographic context, and formulate a criterion for the existence of a Higgs phase, where the gauge redundancy is "spontaneously broken", in purely bulk language. This condition, the existence of a finite tension solitonic string representing a narrow magnetic flux tube, is necessary for a bulk theory to be interpreted as a Higgs phase of a boundary gauge theory. We demonstrate the existence of such solitons in both top-down and bottom-up examples of holographic theories. In particular, we numerically construct new solitonic solutions in AdS black hole background, for various values of the boundary gauge coupling, which are used to demonstrate that the bulk theory models a superconductor, rather than a superfluid. The criterion we find is expected to be useful in finding holographic duals of color superconducting phases of gauge theories at finite density.
| 7.930688
| 8.214236
| 9.178243
| 7.455897
| 8.035968
| 7.646353
| 8.557031
| 7.402789
| 7.596012
| 9.479547
| 7.530017
| 7.698028
| 8.178865
| 7.706501
| 7.578395
| 7.58469
| 7.892935
| 7.606246
| 7.594766
| 8.061403
| 7.39196
|
2209.09999
|
Leonard Susskind
|
Leonard Susskind
|
De Sitter Space, Double-Scaled SYK, and the Separation of Scales in the
Semiclassical Limit
|
52 pages, 13 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In the semiclassical limit of de Sitter gravity a separation of scales takes
place that divides the theory into a "cosmic" sector and a "microscopic"
sector. A similar separation takes place in the double-scaled limit of SYK
theory. We examine the scaling behaviors that accompany these limits and find
parallels that support the previously conjectured duality between
Jackiw-Teitelboim gravity (with positive cosmological constant), and
double-scaled SYK.
This paper is a companion to "dS JT Gravity and Double-Scaled SYK" by Adel
Rahman, to appear simultaneously with this paper.
|
[
{
"created": "Tue, 20 Sep 2022 21:08:59 GMT",
"version": "v1"
}
] |
2022-09-22
|
[
[
"Susskind",
"Leonard",
""
]
] |
In the semiclassical limit of de Sitter gravity a separation of scales takes place that divides the theory into a "cosmic" sector and a "microscopic" sector. A similar separation takes place in the double-scaled limit of SYK theory. We examine the scaling behaviors that accompany these limits and find parallels that support the previously conjectured duality between Jackiw-Teitelboim gravity (with positive cosmological constant), and double-scaled SYK. This paper is a companion to "dS JT Gravity and Double-Scaled SYK" by Adel Rahman, to appear simultaneously with this paper.
| 10.497272
| 9.625956
| 11.203795
| 8.81586
| 9.713565
| 9.299748
| 9.250967
| 8.832158
| 8.876758
| 13.366754
| 9.005542
| 9.293183
| 10.266853
| 9.542715
| 9.452234
| 9.705795
| 9.37642
| 8.941462
| 9.600108
| 9.925095
| 9.653632
|
hep-th/0307016
|
Nemanja Kaloper
|
Nemanja Kaloper and Manoj Kaplinghat
|
Primeval Corrections to the CMB Anisotropies
|
17 pages, latex, no figures; v3: added references and comments, final
version to appear in Phys. Rev. D
|
Phys.Rev. D68 (2003) 123522
|
10.1103/PhysRevD.68.123522
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We show that deviations of the quantum state of the inflaton from the thermal
vacuum of inflation may leave an imprint in the CMB anisotropies. The quantum
dynamics of the inflaton in such a state produces corrections to the
inflationary fluctuations, which may be observable. Because these effects
originate from IR physics below the Planck scale, they will dominate over any
trans-Planckian imprints in any theory which obeys decoupling. Inflation sweeps
away these initial deviations and forces its quantum state closer to the
thermal vacuum. We view this as the quantum version of the cosmic no-hair
theorem. Such imprints in the CMB may be a useful, independent test of the
duration of inflation, or of significant features in the inflaton potential
about 60 e-folds before inflation ended, instead of an unlikely discovery of
the signatures of quantum gravity. The absence of any such substructure would
suggest that inflation lasted uninterrupted much longer than ${\cal O}(100)$
e-folds.
|
[
{
"created": "Wed, 2 Jul 2003 19:15:37 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jul 2003 22:10:39 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Oct 2003 21:28:05 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Kaloper",
"Nemanja",
""
],
[
"Kaplinghat",
"Manoj",
""
]
] |
We show that deviations of the quantum state of the inflaton from the thermal vacuum of inflation may leave an imprint in the CMB anisotropies. The quantum dynamics of the inflaton in such a state produces corrections to the inflationary fluctuations, which may be observable. Because these effects originate from IR physics below the Planck scale, they will dominate over any trans-Planckian imprints in any theory which obeys decoupling. Inflation sweeps away these initial deviations and forces its quantum state closer to the thermal vacuum. We view this as the quantum version of the cosmic no-hair theorem. Such imprints in the CMB may be a useful, independent test of the duration of inflation, or of significant features in the inflaton potential about 60 e-folds before inflation ended, instead of an unlikely discovery of the signatures of quantum gravity. The absence of any such substructure would suggest that inflation lasted uninterrupted much longer than ${\cal O}(100)$ e-folds.
| 13.212508
| 13.442469
| 13.189764
| 12.29187
| 13.383008
| 14.410438
| 14.08991
| 13.046431
| 12.645635
| 14.076369
| 12.740805
| 12.963564
| 12.337461
| 12.402855
| 12.885053
| 12.576445
| 12.70892
| 12.298276
| 12.346129
| 12.623449
| 12.499422
|
hep-th/0409078
|
Emil Nissimov
|
Eduardo Guendelman and Alexander Kaganovich (Ben-Gurion University,
Beer-Sheva, Israel), Emil Nissimov and Svetlana Pacheva (Institute for
Nuclear Research and Nuclear Energy, Sofia, Bulgaria)
|
Weyl-Invariant Light-Like Branes and Black Hole Physics
|
12 pp., Based on talks delivered at the 2nd Workshop ``Gravity,
Astrophysics and Strings'', Kiten (Bulgaria), the 3rd Summer School on Modern
Mathematical Physics, Zlatibor (Serbia and Montenegro), 2004,and the 2nd
Annual Meeting of the European RTN "EUCLID", Sozopol (Bulgaria); few signs
and factors corrected
| null | null |
INRNE-Aug/20
|
hep-th gr-qc
| null |
We propose a new class of p-brane theories which are Weyl-conformally
invariant for any p. For any odd world-volume dimension the latter describe
intrinsically light-like branes, hence the name WILL-branes (Weyl-Invariant
Light-Like branes). Next we discuss the dynamics of WILL-membranes (i.e., for
p=2) both as test branes in various external physically relevant D=4
gravitational backgrounds, as well as within the framework of a coupled D=4
Einstein-Maxwell-WILL-membrane system. In all cases we find that the
WILL-membrane materializes the event horizon of the corresponding black hole
solutions, thus providing an explicit dynamical realization of the membrane
paradigm in black hole physics.
|
[
{
"created": "Tue, 7 Sep 2004 11:24:55 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Oct 2004 06:41:06 GMT",
"version": "v2"
},
{
"created": "Fri, 13 May 2005 14:50:07 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Jul 2005 07:30:58 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Guendelman",
"Eduardo",
"",
"Ben-Gurion University,\n Beer-Sheva, Israel"
],
[
"Kaganovich",
"Alexander",
"",
"Ben-Gurion University,\n Beer-Sheva, Israel"
],
[
"Nissimov",
"Emil",
"",
"Institute for\n Nuclear Research and Nuclear Energy, Sofia, Bulgaria"
],
[
"Pacheva",
"Svetlana",
"",
"Institute for\n Nuclear Research and Nuclear Energy, Sofia, Bulgaria"
]
] |
We propose a new class of p-brane theories which are Weyl-conformally invariant for any p. For any odd world-volume dimension the latter describe intrinsically light-like branes, hence the name WILL-branes (Weyl-Invariant Light-Like branes). Next we discuss the dynamics of WILL-membranes (i.e., for p=2) both as test branes in various external physically relevant D=4 gravitational backgrounds, as well as within the framework of a coupled D=4 Einstein-Maxwell-WILL-membrane system. In all cases we find that the WILL-membrane materializes the event horizon of the corresponding black hole solutions, thus providing an explicit dynamical realization of the membrane paradigm in black hole physics.
| 8.86599
| 6.153279
| 8.656382
| 7.122413
| 7.104949
| 6.686898
| 6.759532
| 6.376204
| 6.769095
| 9.386118
| 7.450693
| 7.874331
| 8.528157
| 8.09966
| 8.140437
| 8.129485
| 8.01343
| 7.668309
| 7.878948
| 8.237076
| 8.060854
|
hep-th/0302121
|
Stanley J. Brodsky
|
Stanley J. Brodsky (SLAC)
|
Gauge Theories on the Light-Front
|
Invited talk presented at the XXIII Encontro Nacional de Fisica de
Particulas e Campos, (The XXIII National Meeting of Particles and Fields),
Aguas se Lindoila, Sao Paulo, Brazil, 15-19 October 2002
|
Braz.J.Phys.34:157-165,2004
|
10.1590/S0103-97332004000200003
|
SLAC-PUB-9642
|
hep-th
| null |
The light-front quantization of gauge theories in light-cone gauge provides a
frame-independent wavefunction representation of relativistic bound states,
simple forms for current matrix elements, explicit unitary, and a trivial
vacuum. The light-front Hamiltonian form of QCD provides an alternative to
lattice gauge theory for the computation of nonperturbative quantities such as
the hadronic spectrum and the corresponding eigenfunctions. In the case of the
electroweak theory, spontaneous symmetry breaking is represented by the
appearance of zero modes of the Higgs field. Light-front quantization then
leads to an elegant ghost-free theory of massive gauge particles, automatically
incorporating the Lorentz and 't Hooft conditions, as well as the Goldstone
boson equivalence theorem.
|
[
{
"created": "Sun, 16 Feb 2003 22:21:01 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Brodsky",
"Stanley J.",
"",
"SLAC"
]
] |
The light-front quantization of gauge theories in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitary, and a trivial vacuum. The light-front Hamiltonian form of QCD provides an alternative to lattice gauge theory for the computation of nonperturbative quantities such as the hadronic spectrum and the corresponding eigenfunctions. In the case of the electroweak theory, spontaneous symmetry breaking is represented by the appearance of zero modes of the Higgs field. Light-front quantization then leads to an elegant ghost-free theory of massive gauge particles, automatically incorporating the Lorentz and 't Hooft conditions, as well as the Goldstone boson equivalence theorem.
| 7.683702
| 7.526327
| 5.796112
| 6.22128
| 4.954825
| 6.987092
| 4.800643
| 7.755135
| 5.471735
| 5.506807
| 7.065208
| 6.989113
| 6.11049
| 6.532141
| 6.659462
| 7.074557
| 6.374958
| 7.236034
| 6.306766
| 6.648957
| 6.896212
|
2310.12067
|
Zhaojie Xu
|
Xian-Hui Ge, Zhaojie Xu
|
Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes
|
19 pages, 7 figures
| null |
10.1007/JHEP03(2024)069
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the thermo-electric transport coefficients of an extended version of
the Gubser-Rocha model. After reviewing the two relaxation time model from
holography and studying the effect of the magnetic field on thermo-electric
transports from hydrodynamic theory, we present a new dilatonic dyonic
asymptotically AdS black hole solution. Notice that S-duality plays an
important role in finding the analytic solution with the magnetic field. Using
the AdS/CMT dictionary, we analyze the electric and thermo-electric transport
properties of the dual field theory. The resistivity exhibits T-linearity in
the low-temperature regime. However, in the strong momentum relaxation and a
strong magnetic field limit, the resistivitiy shows explicit deviation from the
linear-in-T resistivity. The Hall angle is linear-in-T for both the
low-temperature regime and the high-temperature regime for fixed momentum
dissipation strength. The Nernst signal is a bell-shaped function in terms of
the magnetic field even when the momentum relaxation is strong. Finally, we
discuss the possibility of getting a semi-realistic strange metal description
from our model.
|
[
{
"created": "Wed, 18 Oct 2023 15:58:08 GMT",
"version": "v1"
}
] |
2024-03-15
|
[
[
"Ge",
"Xian-Hui",
""
],
[
"Xu",
"Zhaojie",
""
]
] |
We study the thermo-electric transport coefficients of an extended version of the Gubser-Rocha model. After reviewing the two relaxation time model from holography and studying the effect of the magnetic field on thermo-electric transports from hydrodynamic theory, we present a new dilatonic dyonic asymptotically AdS black hole solution. Notice that S-duality plays an important role in finding the analytic solution with the magnetic field. Using the AdS/CMT dictionary, we analyze the electric and thermo-electric transport properties of the dual field theory. The resistivity exhibits T-linearity in the low-temperature regime. However, in the strong momentum relaxation and a strong magnetic field limit, the resistivitiy shows explicit deviation from the linear-in-T resistivity. The Hall angle is linear-in-T for both the low-temperature regime and the high-temperature regime for fixed momentum dissipation strength. The Nernst signal is a bell-shaped function in terms of the magnetic field even when the momentum relaxation is strong. Finally, we discuss the possibility of getting a semi-realistic strange metal description from our model.
| 10.176564
| 9.734694
| 12.405153
| 9.382874
| 9.481868
| 9.734367
| 10.205829
| 9.68885
| 9.177982
| 12.879359
| 9.155969
| 9.530308
| 10.331841
| 9.742645
| 9.608728
| 9.389139
| 9.916552
| 9.686009
| 9.806824
| 10.658659
| 9.61316
|
hep-th/9808153
|
Yuri Stroganov
|
G.P. Pronko (Institute for High Energy Physics, Protvino;
International Solvay Institute, Brussels), Yu.G. Stroganov (Institute for
High Energy Physics, Protvino)
|
Bethe Equations "on the Wrong Side of Equator"
|
13 pages, original paper was spoiled during transmission
|
J.Phys.A32:2333-2340,1999
|
10.1088/0305-4470/32/12/007
| null |
hep-th
| null |
We analyse the famous Baxter's $T-Q$ equations for $XXX$ ($XXZ$) spin chain
and show that apart from its usual polynomial (trigonometric) solution, which
provides the solution of Bethe-Ansatz equations, there exists also the second
solution which should corresponds to Bethe-Ansatz beyond $N/2$. This second
solution of Baxter's equation plays essential role and together with the first
one gives rise to all fusion relations.
|
[
{
"created": "Tue, 25 Aug 1998 11:22:26 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Aug 1998 09:03:13 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Pronko",
"G. P.",
"",
"Institute for High Energy Physics, Protvino;\n International Solvay Institute, Brussels"
],
[
"Stroganov",
"Yu. G.",
"",
"Institute for\n High Energy Physics, Protvino"
]
] |
We analyse the famous Baxter's $T-Q$ equations for $XXX$ ($XXZ$) spin chain and show that apart from its usual polynomial (trigonometric) solution, which provides the solution of Bethe-Ansatz equations, there exists also the second solution which should corresponds to Bethe-Ansatz beyond $N/2$. This second solution of Baxter's equation plays essential role and together with the first one gives rise to all fusion relations.
| 15.604466
| 11.955882
| 15.33251
| 12.156938
| 15.239606
| 12.748942
| 12.268369
| 12.272257
| 11.657956
| 14.995896
| 11.059355
| 11.889851
| 14.648601
| 12.570457
| 12.563195
| 11.96586
| 11.8858
| 12.564834
| 11.800496
| 13.492205
| 12.584345
|
2302.05113
|
Shlomo S. Razamat
|
Hee-Cheol Kim and Shlomo S. Razamat
|
Star shaped quivers in four dimensions
|
7 pages, 4 figures
| null |
10.1103/PhysRevLett.130.211601
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We discuss a 4d Lagrangian descriptions, across dimensions IR dual, of
compactifications of the 6d $(\text{D},\text{D})$ minimal conformal matter
theory on a sphere with arbitrary number of punctures and a particular value of
flux as a gauge theory with a simple gauge group. The Lagrangian has the form
of a ``star shaped quiver'' with the rank of the central node depending on the
6d theory and the number and type of punctures. Using this Lagrangian one can
construct across dimensions duals for arbitrary compactifications (any, genus,
any number and type of $\text{USp}$ punctures, and any flux) of the
$(\text{D},\text{D})$ minimal conformal matter gauging only symmetries which
are manifest in the UV.
|
[
{
"created": "Fri, 10 Feb 2023 08:27:06 GMT",
"version": "v1"
}
] |
2023-05-31
|
[
[
"Kim",
"Hee-Cheol",
""
],
[
"Razamat",
"Shlomo S.",
""
]
] |
We discuss a 4d Lagrangian descriptions, across dimensions IR dual, of compactifications of the 6d $(\text{D},\text{D})$ minimal conformal matter theory on a sphere with arbitrary number of punctures and a particular value of flux as a gauge theory with a simple gauge group. The Lagrangian has the form of a ``star shaped quiver'' with the rank of the central node depending on the 6d theory and the number and type of punctures. Using this Lagrangian one can construct across dimensions duals for arbitrary compactifications (any, genus, any number and type of $\text{USp}$ punctures, and any flux) of the $(\text{D},\text{D})$ minimal conformal matter gauging only symmetries which are manifest in the UV.
| 9.480796
| 9.480037
| 11.20997
| 8.919723
| 9.16233
| 9.772835
| 9.759171
| 8.600599
| 9.631525
| 11.48069
| 9.137295
| 9.235473
| 10.222037
| 9.035887
| 9.649382
| 8.93108
| 8.872061
| 8.699368
| 8.629906
| 10.315361
| 9.107294
|
2310.11744
|
Sourav Roychowdhury
|
Jitendra Pal, Sourav Roychowdhury
|
Integrability and non-integrability for holographic dual of Matrix model
and non-Abelian T-dual of AdS$_5\times$S$^5$
|
1+23 pages; 15 Figs; Major revision; v3; Accepted to Nucl. Phys. B
|
Nucl. Phys. B 1004 (2024) 116570
|
10.1016/j.nuclphysb.2024.116570
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we study integrability and non-integrability for type-IIA
supergravity background dual to deformed plane wave matrix model. From the bulk
perspective, we estimate various chaos indicators that clearly shows chaotic
string dynamics in the limit of small value of the parameter $L$ present in the
theory. On the other hand, the string dynamics exhibits a non-chaotic motion
for the large value of the parameter $L$ and therefore presumably an underlying
integrable structure. Our findings reveals that the parameter $L$ in the
type-IIA background acts as an interpolation between a non-integrable theory to
an integrable theory in dual SCFTs.
|
[
{
"created": "Wed, 18 Oct 2023 07:02:48 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Oct 2023 14:44:47 GMT",
"version": "v2"
},
{
"created": "Mon, 20 May 2024 05:47:04 GMT",
"version": "v3"
}
] |
2024-06-05
|
[
[
"Pal",
"Jitendra",
""
],
[
"Roychowdhury",
"Sourav",
""
]
] |
In this paper we study integrability and non-integrability for type-IIA supergravity background dual to deformed plane wave matrix model. From the bulk perspective, we estimate various chaos indicators that clearly shows chaotic string dynamics in the limit of small value of the parameter $L$ present in the theory. On the other hand, the string dynamics exhibits a non-chaotic motion for the large value of the parameter $L$ and therefore presumably an underlying integrable structure. Our findings reveals that the parameter $L$ in the type-IIA background acts as an interpolation between a non-integrable theory to an integrable theory in dual SCFTs.
| 13.145264
| 10.602556
| 12.275637
| 10.084745
| 11.342037
| 10.788491
| 10.069283
| 9.759686
| 10.195278
| 14.518194
| 10.355747
| 10.41121
| 11.706797
| 10.675726
| 10.874434
| 10.883045
| 10.929012
| 10.70134
| 10.570383
| 11.522396
| 10.832121
|
2110.02319
|
Stefan Vandoren
|
Jan de Boer, Jelle Hartong, Niels A. Obers, Watse Sybesma, Stefan
Vandoren
|
Carroll symmetry, dark energy and inflation
|
43 pages
| null | null |
NORDITA 2021-086
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Carroll symmetry arises from Poincar\'e symmetry upon taking the limit of
vanishing speed of light. We determine the constraints on the energy-momentum
tensor implied by Carroll symmetry and show that for energy-momentum tensors of
perfect fluid form, these imply an equation of state ${\cal E}+P=0$ for energy
density plus pressure. Therefore Carroll symmetry might be relevant for dark
energy and inflation. In the Carroll limit, the Hubble radius goes to zero and
outside it recessional velocities are naturally large compared to the speed of
light. The de Sitter group of isometries, after the limit, becomes the
conformal group in Euclidean flat space. We also study the Carroll limit of
chaotic inflation, and show that the scalar field is naturally driven to have
an equation of state with $w=-1$. Finally we show that the freeze-out of scalar
perturbations in the two point function at horizon crossing is a consequence of
Carroll symmetry.
To make the paper self-contained, we include a brief pedagogical review of
Carroll symmetry, Carroll particles and Carroll field theories that contains
some new material as well. In particular we show, using an expansion around
speed of light going to zero, that for scalar and Maxwell type theories one can
take two different Carroll limits at the level of the action. In the Maxwell
case these correspond to the electric and magnetic limit. For point particles
we show that there are two types of Carroll particles: those that cannot move
in space and particles that cannot stand still.
|
[
{
"created": "Tue, 5 Oct 2021 19:33:42 GMT",
"version": "v1"
}
] |
2021-10-08
|
[
[
"de Boer",
"Jan",
""
],
[
"Hartong",
"Jelle",
""
],
[
"Obers",
"Niels A.",
""
],
[
"Sybesma",
"Watse",
""
],
[
"Vandoren",
"Stefan",
""
]
] |
Carroll symmetry arises from Poincar\'e symmetry upon taking the limit of vanishing speed of light. We determine the constraints on the energy-momentum tensor implied by Carroll symmetry and show that for energy-momentum tensors of perfect fluid form, these imply an equation of state ${\cal E}+P=0$ for energy density plus pressure. Therefore Carroll symmetry might be relevant for dark energy and inflation. In the Carroll limit, the Hubble radius goes to zero and outside it recessional velocities are naturally large compared to the speed of light. The de Sitter group of isometries, after the limit, becomes the conformal group in Euclidean flat space. We also study the Carroll limit of chaotic inflation, and show that the scalar field is naturally driven to have an equation of state with $w=-1$. Finally we show that the freeze-out of scalar perturbations in the two point function at horizon crossing is a consequence of Carroll symmetry. To make the paper self-contained, we include a brief pedagogical review of Carroll symmetry, Carroll particles and Carroll field theories that contains some new material as well. In particular we show, using an expansion around speed of light going to zero, that for scalar and Maxwell type theories one can take two different Carroll limits at the level of the action. In the Maxwell case these correspond to the electric and magnetic limit. For point particles we show that there are two types of Carroll particles: those that cannot move in space and particles that cannot stand still.
| 8.139976
| 8.618104
| 8.537416
| 7.776004
| 8.248317
| 8.442829
| 8.251904
| 8.228436
| 7.930391
| 8.68719
| 7.938433
| 7.54002
| 8.067366
| 7.681937
| 7.563652
| 7.548729
| 7.742333
| 7.757947
| 7.879308
| 7.908108
| 7.960555
|
hep-th/9806043
|
Naik Satchidananda
|
Satchidananda Naik
|
Deriving exact prepotential for $N = 2$ supersymmetric Yang-Mills
theories from superconformal anomaly with rank two gauge groups
|
Latex file, 14 Pages, some minor changes, References added
preprint-MRI-985049
|
Nucl.Phys. B538 (1999) 137-148
|
10.1016/S0550-3213(98)00722-6
| null |
hep-th
| null |
The exact prepotential for $N = 2$ supersymmetric Yang-Mills theory is
derived from the superconformal anomalous Ward identity for the gauge group
SU(2) and SU(3) which can be generalized to any other rank two gauge group.
|
[
{
"created": "Thu, 4 Jun 1998 21:22:03 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Oct 1998 11:18:43 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Naik",
"Satchidananda",
""
]
] |
The exact prepotential for $N = 2$ supersymmetric Yang-Mills theory is derived from the superconformal anomalous Ward identity for the gauge group SU(2) and SU(3) which can be generalized to any other rank two gauge group.
| 8.598691
| 7.669981
| 8.495306
| 7.539995
| 6.963146
| 7.351351
| 6.660597
| 7.122565
| 7.015082
| 9.947744
| 8.053581
| 6.754607
| 7.548967
| 6.679833
| 6.686536
| 7.397334
| 7.036908
| 7.30633
| 6.865157
| 7.419625
| 7.17997
|
1007.3503
|
Oriol Pujolas
|
Diego Blas, Oriol Pujolas and Sergey Sibiryakov
|
Models of non-relativistic quantum gravity: the good, the bad and the
healthy
|
50 pages, JHEP style
|
JHEP 1104:018,2011
|
10.1007/JHEP04(2011)018
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Horava's proposal for non-relativistic quantum gravity introduces a preferred
time foliation of space-time which violates the local Lorentz invariance. The
foliation is encoded in a dynamical scalar field which we call `khronon'. The
dynamics of the khronon field is sensitive to the symmetries and other details
of the particular implementations of the proposal. In this paper we examine
several consistency issues present in three non-relativistic gravity theories:
Horava's projectable theory, the healthy non-projectable extension, and a new
extension related to ghost condensation. We find that the only model which is
free from instabilities and strong coupling is the non-projectable one. We
elaborate on the phenomenology of the latter model including a discussion of
the couplings of the khronon to matter. In particular, we obtain the parameters
of the post-Newtonian expansion in this model and show that they are compatible
with current observations.
|
[
{
"created": "Tue, 20 Jul 2010 20:00:20 GMT",
"version": "v1"
}
] |
2011-04-11
|
[
[
"Blas",
"Diego",
""
],
[
"Pujolas",
"Oriol",
""
],
[
"Sibiryakov",
"Sergey",
""
]
] |
Horava's proposal for non-relativistic quantum gravity introduces a preferred time foliation of space-time which violates the local Lorentz invariance. The foliation is encoded in a dynamical scalar field which we call `khronon'. The dynamics of the khronon field is sensitive to the symmetries and other details of the particular implementations of the proposal. In this paper we examine several consistency issues present in three non-relativistic gravity theories: Horava's projectable theory, the healthy non-projectable extension, and a new extension related to ghost condensation. We find that the only model which is free from instabilities and strong coupling is the non-projectable one. We elaborate on the phenomenology of the latter model including a discussion of the couplings of the khronon to matter. In particular, we obtain the parameters of the post-Newtonian expansion in this model and show that they are compatible with current observations.
| 6.275669
| 6.272595
| 6.27095
| 6.122197
| 5.976133
| 6.355796
| 6.481038
| 5.72696
| 6.255337
| 6.477906
| 6.100039
| 6.011421
| 6.133311
| 5.932364
| 6.100698
| 5.947154
| 6.086096
| 6.006404
| 5.987981
| 6.264463
| 5.829717
|
1407.6736
|
Livia Ferro
|
Livia Ferro, Tomasz Lukowski and Matthias Staudacher
|
N=4 Scattering Amplitudes and the Deformed Grassmannian
|
15 pages
| null |
10.1016/j.nuclphysb.2014.10.012
|
HU-EP-14/26, AEI-2014-030, HU-Mathematik-2014-16,
CERN-PH-TH-2014-107, LMU-ASC 42/14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Some time ago the general tree-level scattering amplitudes of N=4 Super
Yang-Mills theory were expressed as certain Grassmannian contour integrals.
These remarkable formulas allow to clearly expose the super-conformal, dual
super-conformal, and Yangian symmetries of the amplitudes. Using ideas from
integrability it was recently shown that the building blocks of the amplitudes
permit a natural multi-parameter deformation. However, this approach had been
criticized by the observation that it seemed impossible to reassemble the
building blocks into Yangian-invariant deformed non-MHV amplitudes. In this
note we demonstrate that the deformations may be succinctly summarized by a
simple modification of the measure of the Grassmannian integrals, leading to a
Yangian-invariant deformation of the general tree-level amplitudes.
Interestingly, the deformed building-blocks appear as residues of poles in the
spectral parameter planes. Given that the contour integrals also contain
information on the amplitudes at loop-level, we expect the deformations to be
useful there as well. In particular, applying meromorphicity arguments, they
may be expected to regulate all notorious infrared divergences. We also point
out relations to Gelfand hypergeometric functions and the quantum
Knizhnik-Zamolodchikov equations.
|
[
{
"created": "Thu, 24 Jul 2014 21:00:28 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Ferro",
"Livia",
""
],
[
"Lukowski",
"Tomasz",
""
],
[
"Staudacher",
"Matthias",
""
]
] |
Some time ago the general tree-level scattering amplitudes of N=4 Super Yang-Mills theory were expressed as certain Grassmannian contour integrals. These remarkable formulas allow to clearly expose the super-conformal, dual super-conformal, and Yangian symmetries of the amplitudes. Using ideas from integrability it was recently shown that the building blocks of the amplitudes permit a natural multi-parameter deformation. However, this approach had been criticized by the observation that it seemed impossible to reassemble the building blocks into Yangian-invariant deformed non-MHV amplitudes. In this note we demonstrate that the deformations may be succinctly summarized by a simple modification of the measure of the Grassmannian integrals, leading to a Yangian-invariant deformation of the general tree-level amplitudes. Interestingly, the deformed building-blocks appear as residues of poles in the spectral parameter planes. Given that the contour integrals also contain information on the amplitudes at loop-level, we expect the deformations to be useful there as well. In particular, applying meromorphicity arguments, they may be expected to regulate all notorious infrared divergences. We also point out relations to Gelfand hypergeometric functions and the quantum Knizhnik-Zamolodchikov equations.
| 7.343311
| 7.747097
| 8.398839
| 7.585964
| 8.123485
| 8.113478
| 7.414042
| 7.537221
| 7.722535
| 9.761369
| 7.639172
| 7.417514
| 7.563294
| 7.253756
| 7.381138
| 7.111726
| 7.374109
| 7.327141
| 7.343017
| 7.680944
| 7.330341
|
1708.01563
|
Katrin Wendland
|
Anne Taormina, Katrin Wendland
|
Not Doomed to Fail
|
10 pages, no figures, clarifications added. Version accepted for
publication in JHEP
|
JHEP09(2018)062
|
10.1007/JHEP09(2018)062
|
DCPT-17/27
|
hep-th math-ph math.MP math.RA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In their recent manuscript "An Uplifting Discussion of T-Duality",
arXiv:1707.08888, J. Harvey and G. Moore have reevaluated a mod two condition
appearing in asymmetric orbifold constructions as an obstruction to the
description of certain symmetries of toroidal conformal field theories by means
of automorphisms of the underlying charge lattice. The relevant "doomed to
fail" condition determines whether or not such a lattice automorphism g may
lift to a symmetry in the corresponding toroidal conformal field theory without
introducing extra phases. If doomed to fail, then in some cases, the lift of g
must have double the order of g. It is an interesting question, whether or not
"geometric" symmetries are affected by these findings. In the present note, we
answer this question in the negative, by means of elementary linear algebra:
"geometric" symmetries of toroidal conformal field theories are not doomed to
fail. Consequently, and in particular, the symmetry groups involved in symmetry
surfing the moduli space of K3 theories do not differ from their lifts.
|
[
{
"created": "Thu, 3 Aug 2017 15:42:00 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Apr 2018 09:03:32 GMT",
"version": "v2"
},
{
"created": "Sun, 16 Sep 2018 12:35:05 GMT",
"version": "v3"
}
] |
2018-09-26
|
[
[
"Taormina",
"Anne",
""
],
[
"Wendland",
"Katrin",
""
]
] |
In their recent manuscript "An Uplifting Discussion of T-Duality", arXiv:1707.08888, J. Harvey and G. Moore have reevaluated a mod two condition appearing in asymmetric orbifold constructions as an obstruction to the description of certain symmetries of toroidal conformal field theories by means of automorphisms of the underlying charge lattice. The relevant "doomed to fail" condition determines whether or not such a lattice automorphism g may lift to a symmetry in the corresponding toroidal conformal field theory without introducing extra phases. If doomed to fail, then in some cases, the lift of g must have double the order of g. It is an interesting question, whether or not "geometric" symmetries are affected by these findings. In the present note, we answer this question in the negative, by means of elementary linear algebra: "geometric" symmetries of toroidal conformal field theories are not doomed to fail. Consequently, and in particular, the symmetry groups involved in symmetry surfing the moduli space of K3 theories do not differ from their lifts.
| 12.018629
| 12.888764
| 14.29682
| 11.369073
| 13.190767
| 13.216975
| 12.570695
| 11.913243
| 11.8962
| 14.323452
| 11.361738
| 11.124185
| 12.006222
| 11.177315
| 11.392981
| 11.490299
| 11.631859
| 11.355082
| 11.446692
| 12.037094
| 11.110539
|
1509.02160
|
Kristan Jensen
|
Kristan Jensen, Andy O'Bannon
|
A Constraint on Defect and Boundary Renormalization Group Flows
|
9 pages, ReVTeX, v2: references added and a minor correction
|
Phys. Rev. Lett. 116, 091601 (2016)
|
10.1103/PhysRevLett.116.091601
|
OUTP-15-19P, YITP-SB-15-33
|
hep-th cond-mat.mes-hall cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A conformal field theory (CFT) in dimension $d\geq 3$ coupled to a planar,
two-dimensional, conformal defect is characterized in part by a "central
charge" $b$ that multiplies the Euler density in the defect's Weyl anomaly. For
defect renormalization group flows, under which the bulk remains critical, we
use reflection positivity to show that $b$ must decrease or remain constant
from ultraviolet to infrared. Our result applies also to a CFT in $d=3$ flat
space with a planar boundary.
|
[
{
"created": "Mon, 7 Sep 2015 20:06:59 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Sep 2015 19:07:17 GMT",
"version": "v2"
}
] |
2016-03-09
|
[
[
"Jensen",
"Kristan",
""
],
[
"O'Bannon",
"Andy",
""
]
] |
A conformal field theory (CFT) in dimension $d\geq 3$ coupled to a planar, two-dimensional, conformal defect is characterized in part by a "central charge" $b$ that multiplies the Euler density in the defect's Weyl anomaly. For defect renormalization group flows, under which the bulk remains critical, we use reflection positivity to show that $b$ must decrease or remain constant from ultraviolet to infrared. Our result applies also to a CFT in $d=3$ flat space with a planar boundary.
| 7.314229
| 7.35195
| 8.623166
| 6.838618
| 7.274803
| 6.809566
| 7.899976
| 6.870991
| 6.846571
| 10.103633
| 6.984116
| 7.369166
| 8.220663
| 7.173082
| 7.143024
| 6.982961
| 7.239211
| 7.510252
| 6.985855
| 7.955441
| 7.177176
|
1412.4889
|
Jean Pierre Veiro
|
A. Restuccia and J. P. Veiro
|
Yang-Mills connections valued on the octonionic algebra
|
Proceedings for the XIX Simposio Chileno de Fisica, SOCHIFI 2014
Conference, 26-28 November 2014, held at Concepcion U., Chile
|
Journal of Physics: Conference Series 720 (2016) 012018
|
10.1088/1742-6596/720/1/012018
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a formulation of Yang-Mills theory where the gauge field is
valued on an octonionic algebra and the gauge transformation is the group of
automorphisms of it. We show, under mild assumptions, that the only possible
gauge formulations are the usual $\mathfrak{su}(2)$ or $\mathfrak{u}(1)$
Yang-Mills theories.
|
[
{
"created": "Tue, 16 Dec 2014 06:02:40 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Dec 2015 23:20:48 GMT",
"version": "v2"
}
] |
2016-08-19
|
[
[
"Restuccia",
"A.",
""
],
[
"Veiro",
"J. P.",
""
]
] |
We consider a formulation of Yang-Mills theory where the gauge field is valued on an octonionic algebra and the gauge transformation is the group of automorphisms of it. We show, under mild assumptions, that the only possible gauge formulations are the usual $\mathfrak{su}(2)$ or $\mathfrak{u}(1)$ Yang-Mills theories.
| 6.727686
| 6.340384
| 6.573923
| 5.794248
| 6.016015
| 6.335189
| 6.189386
| 5.721675
| 5.657752
| 6.776857
| 6.074314
| 6.129305
| 6.271185
| 6.215721
| 6.30316
| 6.293283
| 6.097571
| 6.03188
| 6.131433
| 6.07892
| 5.879311
|
1210.4997
|
Marco Panero
|
Biagio Lucini and Marco Panero
|
SU(N) gauge theories at large N
|
2+97 pages, 29 pdf figures; prepared for submission to Physics
Reports. V2: 3+104 pages, 30 figures: references added, discussion expanded,
typos corrected: version submitted to and published in Physics Reports
|
Physics Reports 526 (2013) 93-163
|
10.1016/j.physrep.2013.01.001
|
HIP-2012-24/TH; NSF-KITP-12-190
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the theoretical developments and conceptual advances that stemmed
from the generalization of QCD to the limit of a large number of color charges,
originally proposed by 't Hooft. Then, after introducing the gauge-invariant
non-perturbative formulation of non-Abelian gauge theories on a spacetime
lattice, we present a selection of results from recent lattice studies of
theories with a different number of colors, and the findings obtained from
their extrapolation to the 't Hooft limit. We conclude with a brief discussion
and a summary.
|
[
{
"created": "Thu, 18 Oct 2012 00:51:28 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Apr 2013 10:23:08 GMT",
"version": "v2"
}
] |
2013-04-29
|
[
[
"Lucini",
"Biagio",
""
],
[
"Panero",
"Marco",
""
]
] |
We review the theoretical developments and conceptual advances that stemmed from the generalization of QCD to the limit of a large number of color charges, originally proposed by 't Hooft. Then, after introducing the gauge-invariant non-perturbative formulation of non-Abelian gauge theories on a spacetime lattice, we present a selection of results from recent lattice studies of theories with a different number of colors, and the findings obtained from their extrapolation to the 't Hooft limit. We conclude with a brief discussion and a summary.
| 7.189981
| 7.679603
| 6.362862
| 6.627522
| 7.43248
| 7.579767
| 7.305751
| 7.325339
| 6.724684
| 7.730674
| 6.920543
| 6.855459
| 6.585241
| 6.709311
| 6.946486
| 7.141187
| 7.003372
| 6.831742
| 6.773493
| 6.402153
| 6.936605
|
hep-th/9211083
|
Elias Kiritsis
|
I. Bakas and E. Kiritsis
|
Target Space Description of W-Infinity Symmetry in Coset Models
|
8pp, Latex, LPTENS-92-30
|
Phys.Lett. B301 (1993) 49-52
|
10.1016/0370-2693(93)90719-X
| null |
hep-th
| null |
Various typos corrected
|
[
{
"created": "Wed, 18 Nov 1992 15:21:21 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Dec 1992 12:01:51 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Bakas",
"I.",
""
],
[
"Kiritsis",
"E.",
""
]
] |
Various typos corrected
| 554.237427
| 181.411682
| 196.061249
| 207.729355
| 156.012222
| 214.279861
| 145.115295
| 185.68956
| 141.376694
| 205.208618
| 134.113174
| 728.503845
| 570.142944
| 630.544495
| 569.567444
| 557.724121
| 669.092834
| 681.590698
| 489.595306
| 548.972961
| 401.951782
|
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