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2024-08-16 00:00:00
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2.01k
| perplexity_Llama-3.1-8B
float64 2.29
655
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float64 2.77
362
| perplexity_s2-L-3.1-8B-base
float64 3.14
496
| perplexity_s3-L-3.1-8B-base_v3
float64 2.9
431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
467
| perplexity_s8-L-3.1-8B-base
float64 2.89
220
| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
600
| perplexity_s1-L-3.1-8B-qkv_v2
float64 2.92
729
| perplexity_s2-L-3.1-8B-qkv
float64 3.05
621
| perplexity_s3-L-3.1-8B-qkv
float64 2.96
631
| perplexity_s4-L-3.1-8B-qkv
float64 2.86
570
| perplexity_s5-L-3.1-8B-qkv
float64 2.93
558
| perplexity_s6-L-3.1-8B-qkv
float64 2.96
669
| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
682
| perplexity_s8-L-3.1-8B-qkv
float64 2.92
502
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| perplexity_s10-L-3.1-8B-qkv
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795
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1404.6825
|
Stuart Dowker
|
J.S.Dowker
|
Imaginary mass lune determinants
|
11 pages, 9 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Functional determinants for a scalar field with negative mass squared are
numerically evaluated on an orbifolded three-sphere, in particular on a lune
and on a regular 4--polytope fundamental domain. Graphs are provided of the
logdets and some Hartle-Hawking probabilities, on the basis of the dS/CFT
correspondence.
|
[
{
"created": "Sun, 27 Apr 2014 20:40:14 GMT",
"version": "v1"
}
] |
2014-04-29
|
[
[
"Dowker",
"J. S.",
""
]
] |
Functional determinants for a scalar field with negative mass squared are numerically evaluated on an orbifolded three-sphere, in particular on a lune and on a regular 4--polytope fundamental domain. Graphs are provided of the logdets and some Hartle-Hawking probabilities, on the basis of the dS/CFT correspondence.
| 25.532833
| 19.630756
| 24.633711
| 19.035383
| 22.124147
| 25.12805
| 19.032461
| 22.97735
| 20.158131
| 23.698534
| 20.092234
| 19.53953
| 20.750332
| 19.120245
| 20.209707
| 19.546616
| 20.680197
| 19.465179
| 19.698132
| 21.241135
| 21.847097
|
1010.6065
|
Aram Saharian
|
A.A. Saharian
|
Dynamical Casimir effect on surface waves
|
7 pages, 3 figures, Talk presented at the International Conference
"Electrons, Positrons, Neutrons and X-rays Scattering Under External
Influences", Yerevan-Meghri, Armenia, October 26-30, 2009
|
Proceedings of the International Conference "Electrons, Positrons,
Neutrons and X-rays Scattering Under External Influences", Yerevan-Meghri,
Armenia, October 26-30, 2009, pp. 63-67, ISBN 978-99941-2-486-2
| null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the quantum radiation of scalar particles from a surface wave
excited on a plane surface of a mirror. It is assumed that the field obeys
Dirichlet condition on the boundary of the mirror. In both cases of running and
standing surface waves the expression is given for the spectral-angular
distribution of the number of the radiated quanta.
|
[
{
"created": "Thu, 28 Oct 2010 19:57:08 GMT",
"version": "v1"
}
] |
2011-01-24
|
[
[
"Saharian",
"A. A.",
""
]
] |
We consider the quantum radiation of scalar particles from a surface wave excited on a plane surface of a mirror. It is assumed that the field obeys Dirichlet condition on the boundary of the mirror. In both cases of running and standing surface waves the expression is given for the spectral-angular distribution of the number of the radiated quanta.
| 10.061526
| 8.379627
| 8.967465
| 7.745553
| 8.268858
| 9.57201
| 7.868883
| 8.924959
| 8.363203
| 10.214845
| 8.64012
| 8.17732
| 8.831273
| 8.164771
| 8.585505
| 8.144023
| 8.552984
| 8.608141
| 8.123357
| 9.106828
| 8.972724
|
1012.4363
|
Vijay Balasubramanian
|
Vijay Balasubramanian, I\~naki Garc\'ia-Etxebarria, Finn Larsen, and
Joan Sim\'on
|
Helical Luttinger Liquids and Three Dimensional Black Holes
|
4 pages
| null |
10.1103/PhysRevD.84.126012
|
UPR-1223-T
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cold interacting fermions in two dimensions form exactly solvable Luttinger
liquids, whose characteristic scaling exponents differ from those of
conventional Fermi liquids. We use the AdS/CFT correspondence to discuss an
equivalence between a class of helical, strongly coupled Luttinger liquids and
fermions propagating in the background of a 3D black hole. The microscopic
Lagrangian is explicitly known and the construction is fully embeddable in
string theory. The retarded Green function at low temperature and energy arises
from the geometry very near the black hole horizon. This structure is universal
for all cold, charged liquids with a dual description in gravity.
|
[
{
"created": "Mon, 20 Dec 2010 15:44:22 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Balasubramanian",
"Vijay",
""
],
[
"García-Etxebarria",
"Iñaki",
""
],
[
"Larsen",
"Finn",
""
],
[
"Simón",
"Joan",
""
]
] |
Cold interacting fermions in two dimensions form exactly solvable Luttinger liquids, whose characteristic scaling exponents differ from those of conventional Fermi liquids. We use the AdS/CFT correspondence to discuss an equivalence between a class of helical, strongly coupled Luttinger liquids and fermions propagating in the background of a 3D black hole. The microscopic Lagrangian is explicitly known and the construction is fully embeddable in string theory. The retarded Green function at low temperature and energy arises from the geometry very near the black hole horizon. This structure is universal for all cold, charged liquids with a dual description in gravity.
| 14.130562
| 12.868199
| 13.889287
| 11.705281
| 13.038209
| 12.262421
| 11.761286
| 12.029434
| 13.093493
| 13.751925
| 12.087776
| 12.226105
| 13.685813
| 12.440132
| 12.213455
| 13.136776
| 11.938441
| 13.480655
| 12.381618
| 13.872343
| 11.854435
|
hep-th/0608040
|
Sharmanthie Fernando
|
Sharmanthie Fernando
|
Thermodynamics of Born-Infeld-anti-de Sitter black holes in the grand
canonical ensemble
|
Accepted to be published in Physical Review D. Minor changes
|
Phys.Rev. D74 (2006) 104032
|
10.1103/PhysRevD.74.104032
|
NKU-06-SF1
|
hep-th gr-qc
| null |
The main objective of this paper is to study thermodynamics and stability of
static electrically charged Born-Infeld black holes in AdS space in D=4. The
Euclidean action for the grand canonical ensemble is computed with the
appropriate boundary terms. The thermodynamical quantities such as the Gibbs
free energy, entropy and specific heat of the black holes are derived from it.
The global stability of black holes are studied in detail by studying the free
energy for various potentials. For small values of the potential, we find that
there is a Hawking-Page phase transition between a BIAdS black hole and the
thermal-AdS space. For large potentials, the black hole phase is dominant and
are preferred over the thermal-AdS space. Local stability is studied by
computing the specific heat for constant potentials. The non-extreme black
holes have two branches: small black holes are unstable and the large black
holes are stable. The extreme black holes are shown to be stable both globally
as well as locally. In addition to the thermodynamics, we also show that the
phase structure relating the mass $M$ and the charge $Q$ of the black holes is
similar to the liquid-gas-solid phase diagram.
|
[
{
"created": "Fri, 4 Aug 2006 21:49:06 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2006 18:41:54 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Aug 2006 18:45:43 GMT",
"version": "v3"
},
{
"created": "Mon, 6 Nov 2006 22:23:08 GMT",
"version": "v4"
}
] |
2012-06-20
|
[
[
"Fernando",
"Sharmanthie",
""
]
] |
The main objective of this paper is to study thermodynamics and stability of static electrically charged Born-Infeld black holes in AdS space in D=4. The Euclidean action for the grand canonical ensemble is computed with the appropriate boundary terms. The thermodynamical quantities such as the Gibbs free energy, entropy and specific heat of the black holes are derived from it. The global stability of black holes are studied in detail by studying the free energy for various potentials. For small values of the potential, we find that there is a Hawking-Page phase transition between a BIAdS black hole and the thermal-AdS space. For large potentials, the black hole phase is dominant and are preferred over the thermal-AdS space. Local stability is studied by computing the specific heat for constant potentials. The non-extreme black holes have two branches: small black holes are unstable and the large black holes are stable. The extreme black holes are shown to be stable both globally as well as locally. In addition to the thermodynamics, we also show that the phase structure relating the mass $M$ and the charge $Q$ of the black holes is similar to the liquid-gas-solid phase diagram.
| 6.081522
| 6.428227
| 5.939316
| 5.765048
| 6.425049
| 6.253893
| 6.074173
| 5.626568
| 5.993374
| 6.31358
| 6.017365
| 5.992327
| 5.8212
| 5.887733
| 5.857008
| 5.87224
| 5.818525
| 5.806416
| 5.806262
| 6.02317
| 5.899025
|
1107.5161
|
Henri Epstein
|
Jacques Bros, Henri Epstein, Michel Gaudin, Ugo Moschella, Vincent
Pasquier
|
Anti de Sitter quantum field theory and a new class of hypergeometric
identities
| null | null |
10.1007/s00220-011-1372-0
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use Anti-de Sitter quantum field theory to prove a new class of identities
between hypergeometric functions related to the K\"all\'en-Lehmann
representation of products of two Anti-de Sitter two-point functions. A rich
mathematical structure emerges. We apply our results to study the decay of
unstable Anti-de Sitter particles. The total amplitude is in this case finite
and Anti-de Sitter invariant.
|
[
{
"created": "Tue, 26 Jul 2011 10:32:20 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Bros",
"Jacques",
""
],
[
"Epstein",
"Henri",
""
],
[
"Gaudin",
"Michel",
""
],
[
"Moschella",
"Ugo",
""
],
[
"Pasquier",
"Vincent",
""
]
] |
We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the K\"all\'en-Lehmann representation of products of two Anti-de Sitter two-point functions. A rich mathematical structure emerges. We apply our results to study the decay of unstable Anti-de Sitter particles. The total amplitude is in this case finite and Anti-de Sitter invariant.
| 13.690548
| 12.350566
| 12.831135
| 11.193372
| 11.802423
| 13.453016
| 11.409451
| 11.200829
| 10.880406
| 15.016494
| 11.546318
| 12.044021
| 11.691043
| 11.2776
| 11.726413
| 11.804864
| 12.206355
| 11.528138
| 11.71522
| 12.087242
| 10.664912
|
1506.03447
|
Matthew Reece
|
Ben Heidenreich, Matthew Reece, and Tom Rudelius
|
Weak Gravity Strongly Constrains Large-Field Axion Inflation
|
v2: 40 pages, 3 figures. Appendix added, references added, details
modified in light of subsequent work on KK photons
| null |
10.1007/JHEP12(2015)108
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Models of large-field inflation based on axion-like fields with shift
symmetries can be simple and natural, and make a promising prediction of
detectable primordial gravitational waves. The Weak Gravity Conjecture is known
to constrain the simplest case in which a single compact axion descends from a
gauge field in an extra dimension. We argue that the Weak Gravity Conjecture
also constrains a variety of theories of multiple compact axions including
N-flation and some alignment models. We show that other alignment models entail
surprising consequences for how the mass spectrum of the theory varies across
the axion moduli space, and hence can be excluded if further conjectures hold.
In every case that we consider, plausible assumptions lead to field ranges that
cannot be parametrically larger than the Planck scale. Our results are strongly
suggestive of a general inconsistency in models of large-field inflation based
on compact axions, and possibly of a more general principle forbidding
super-Planckian field ranges.
|
[
{
"created": "Wed, 10 Jun 2015 20:00:24 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Oct 2015 20:59:13 GMT",
"version": "v2"
}
] |
2016-01-27
|
[
[
"Heidenreich",
"Ben",
""
],
[
"Reece",
"Matthew",
""
],
[
"Rudelius",
"Tom",
""
]
] |
Models of large-field inflation based on axion-like fields with shift symmetries can be simple and natural, and make a promising prediction of detectable primordial gravitational waves. The Weak Gravity Conjecture is known to constrain the simplest case in which a single compact axion descends from a gauge field in an extra dimension. We argue that the Weak Gravity Conjecture also constrains a variety of theories of multiple compact axions including N-flation and some alignment models. We show that other alignment models entail surprising consequences for how the mass spectrum of the theory varies across the axion moduli space, and hence can be excluded if further conjectures hold. In every case that we consider, plausible assumptions lead to field ranges that cannot be parametrically larger than the Planck scale. Our results are strongly suggestive of a general inconsistency in models of large-field inflation based on compact axions, and possibly of a more general principle forbidding super-Planckian field ranges.
| 9.795002
| 9.782457
| 10.383491
| 8.970051
| 8.998696
| 8.61606
| 9.769489
| 8.971889
| 9.15011
| 11.450316
| 9.127598
| 9.127148
| 9.174314
| 9.068921
| 8.796288
| 9.044834
| 9.114159
| 9.345991
| 9.114128
| 9.505661
| 9.1278
|
2204.01742
|
Washington Taylor
|
Mirjam Cvetic, James Halverson, Gary Shiu, and Washington Taylor
|
Snowmass White Paper: String Theory and Particle Physics
|
34 pages (17 pages text +17 pages references); v2: references added;
Contribution to Snowmass 2022
| null | null |
CERN-TH-2022-054, UPR-1318-T, MIT-CTP-5419
|
hep-th
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
We review recent developments and outstanding questions regarding connecting
the top-down UV complete physical framework of string theory with the observed
physics of the Standard Model and beyond the Standard Model physics,
emphasizing the global nonperturbative framework of F-theory and general
lessons from UV physics. This paper, prepared for the TF01 conveners of the
Snowmass 2022 process, provides a brief synopsis of this important area,
focusing on ongoing developments and opportunities.
|
[
{
"created": "Mon, 4 Apr 2022 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Apr 2022 18:33:13 GMT",
"version": "v2"
}
] |
2022-04-26
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Halverson",
"James",
""
],
[
"Shiu",
"Gary",
""
],
[
"Taylor",
"Washington",
""
]
] |
We review recent developments and outstanding questions regarding connecting the top-down UV complete physical framework of string theory with the observed physics of the Standard Model and beyond the Standard Model physics, emphasizing the global nonperturbative framework of F-theory and general lessons from UV physics. This paper, prepared for the TF01 conveners of the Snowmass 2022 process, provides a brief synopsis of this important area, focusing on ongoing developments and opportunities.
| 20.017073
| 19.411865
| 20.719975
| 17.169846
| 17.197886
| 18.666
| 15.600069
| 18.013489
| 18.725748
| 21.286154
| 20.089075
| 20.746815
| 20.146019
| 18.925018
| 18.463505
| 20.144947
| 19.586992
| 18.071119
| 19.351601
| 19.277409
| 19.936661
|
2004.10328
|
Yuya Tanizaki
|
Tin Sulejmanpasic, Yuya Tanizaki, Mithat \"Unsal
|
Universality between vector-like and chiral quiver gauge theories:
Anomalies and domain walls
|
37 pages, 1 figure; (v2) typos fixed, footnotes added, refs added
|
JHEP 06 (2020) 173
|
10.1007/JHEP06(2020)173
|
YITP-20-45
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study low-energy dynamics of $[SU(N)]^K$ chiral quiver gauge theories in
connection with $\mathcal{N}=1$ super Yang-Mills (SYM) theory, and quantum
chromodynamics with bi-fundamental fermions (QCD(BF)). These theories can be
obtained by $\mathbb{Z}_K$ orbifold projections of $\mathcal{N}=1$ $SU(NK)$ SYM
theory, but the perturbative planar equivalence does not extend
nonperturbatively for $K\ge 3$. In order to study low-energy behaviors, we
analyze these systems using 't~Hooft anomaly matching and reliable semiclassics
on $\mathbb{R}^3\times S^1$. Thanks to 't~Hooft anomaly that involves $1$-form
center symmetry and discrete chiral symmetry, we predict that chiral symmetry
must be spontaneously broken in the confinement phase, and there exist $N$
vacua. Theories with even $K$ possess a physical $\theta$ angle despite the
presence of massless fermions, and we further predict the $N$-branch structure
associated with it; the number of vacua is enhanced to $2N$ at $\theta=\pi$ due
to spontaneous $CP$ breaking. Both of these predictions are explicitly
confirmed by reliable semiclassics on $\mathbb{R}^3\times S^1$ with the
double-trace deformation. Symmetry and anomaly of odd-$K$ theories are the same
as those of the ${\cal N}=1$ SYM, and the ones of even-$K$ theories are same as
those of QCD(BF). We unveil why there exists universality between vector-like
and chiral quiver theories, and conjecture that their ground states can be
continuously deformed without quantum phase transitions. We briefly discuss
anomaly inflow on the domain walls connecting the vacua of the theory and
possible anomaly matching scenarios.
|
[
{
"created": "Tue, 21 Apr 2020 22:20:40 GMT",
"version": "v1"
},
{
"created": "Sun, 3 May 2020 08:22:17 GMT",
"version": "v2"
}
] |
2020-07-01
|
[
[
"Sulejmanpasic",
"Tin",
""
],
[
"Tanizaki",
"Yuya",
""
],
[
"Ünsal",
"Mithat",
""
]
] |
We study low-energy dynamics of $[SU(N)]^K$ chiral quiver gauge theories in connection with $\mathcal{N}=1$ super Yang-Mills (SYM) theory, and quantum chromodynamics with bi-fundamental fermions (QCD(BF)). These theories can be obtained by $\mathbb{Z}_K$ orbifold projections of $\mathcal{N}=1$ $SU(NK)$ SYM theory, but the perturbative planar equivalence does not extend nonperturbatively for $K\ge 3$. In order to study low-energy behaviors, we analyze these systems using 't~Hooft anomaly matching and reliable semiclassics on $\mathbb{R}^3\times S^1$. Thanks to 't~Hooft anomaly that involves $1$-form center symmetry and discrete chiral symmetry, we predict that chiral symmetry must be spontaneously broken in the confinement phase, and there exist $N$ vacua. Theories with even $K$ possess a physical $\theta$ angle despite the presence of massless fermions, and we further predict the $N$-branch structure associated with it; the number of vacua is enhanced to $2N$ at $\theta=\pi$ due to spontaneous $CP$ breaking. Both of these predictions are explicitly confirmed by reliable semiclassics on $\mathbb{R}^3\times S^1$ with the double-trace deformation. Symmetry and anomaly of odd-$K$ theories are the same as those of the ${\cal N}=1$ SYM, and the ones of even-$K$ theories are same as those of QCD(BF). We unveil why there exists universality between vector-like and chiral quiver theories, and conjecture that their ground states can be continuously deformed without quantum phase transitions. We briefly discuss anomaly inflow on the domain walls connecting the vacua of the theory and possible anomaly matching scenarios.
| 6.434772
| 6.25875
| 7.417514
| 6.123477
| 6.594502
| 6.034021
| 6.171825
| 6.342928
| 5.844386
| 7.852396
| 6.08364
| 6.248735
| 6.61111
| 6.440876
| 6.213565
| 6.306831
| 6.318602
| 6.305817
| 6.43106
| 6.72778
| 6.303072
|
0706.0772
|
Wen-Li Yang
|
Wen-Li Yang and Yao-Zhong Zhang
|
Multiple reference states and complete spectrum of the $Z_n$ Belavin
model with open boundaries
|
Latex file, 24 pages
|
Nucl.Phys.B789:591-609,2008
|
10.1016/j.nuclphysb.2007.07.024
| null |
hep-th math-ph math.MP nlin.SI
| null |
The multiple reference state structure of the $\Z_n$ Belavin model with
non-diagonal boundary terms is discovered. It is found that there exist $n$
reference states, each of them yields a set of eigenvalues and Bethe Ansatz
equations of the transfer matrix. These $n$ sets of eigenvalues together
constitute the complete spectrum of the model. In the quasi-classic limit, they
give the complete spectrum of the corresponding Gaudin model.
|
[
{
"created": "Wed, 6 Jun 2007 06:31:28 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Yang",
"Wen-Li",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] |
The multiple reference state structure of the $\Z_n$ Belavin model with non-diagonal boundary terms is discovered. It is found that there exist $n$ reference states, each of them yields a set of eigenvalues and Bethe Ansatz equations of the transfer matrix. These $n$ sets of eigenvalues together constitute the complete spectrum of the model. In the quasi-classic limit, they give the complete spectrum of the corresponding Gaudin model.
| 9.710659
| 7.691286
| 11.241673
| 8.193213
| 8.027016
| 8.598959
| 8.254273
| 8.678411
| 7.701726
| 10.82048
| 7.542485
| 8.430793
| 10.529236
| 8.899825
| 8.26515
| 8.4858
| 7.907902
| 8.496264
| 7.878888
| 10.15555
| 7.819502
|
hep-th/9709037
|
Amir hossein Fatollahi
|
F. Ardalan, A.H. Fatollahi, K. Kaviani and S. Parvizi
|
Regularised Supermembrane Theory and Static Configurations of M-Theory
|
Revised version to appear in Euro. Phys. Jour. C
|
Eur.Phys.J.C8:507-511,1999
|
10.1007/s100520050484
|
IPM-97-230
|
hep-th
| null |
We suggest that the static configurations of M-theory may be described by the
matrix regularisation of the supermembrane theory in static regime. We compute
the long range interaction between a M2-brane and an anti-M2-brane in agreement
with the 11 dimensional supergravity result.
|
[
{
"created": "Thu, 4 Sep 1997 10:29:06 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Nov 1998 11:26:39 GMT",
"version": "v2"
}
] |
2011-09-13
|
[
[
"Ardalan",
"F.",
""
],
[
"Fatollahi",
"A. H.",
""
],
[
"Kaviani",
"K.",
""
],
[
"Parvizi",
"S.",
""
]
] |
We suggest that the static configurations of M-theory may be described by the matrix regularisation of the supermembrane theory in static regime. We compute the long range interaction between a M2-brane and an anti-M2-brane in agreement with the 11 dimensional supergravity result.
| 11.548532
| 9.609364
| 10.94931
| 9.167721
| 10.868751
| 9.683879
| 8.983615
| 9.041375
| 9.282404
| 11.91624
| 9.289223
| 9.496207
| 10.092899
| 9.040152
| 9.884093
| 9.727077
| 9.606603
| 9.875822
| 9.493487
| 10.384728
| 9.366274
|
2208.05992
|
Bin Guo
|
Bin Guo, Samir D. Mathur
|
Dynamical evolution in the D1D5 CFT
|
34 pages, 4 figures
| null |
10.1007/JHEP12(2022)107
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is interesting to ask: how does the radial space direction emerge from the
CFT in gauge-gravity duality? In this context we resolve a long-standing puzzle
with the gravity duals of two classes of states in the D1D5 CFT. For each class
the CFT states are in the untwisted sector, suggesting that the energy gap
should be $1/R_y$ where $R_y$ is the radius of the circle on which the D1D5 CFT
is compactified. For one class of states, the gravity dual indeed has exactly
this gap, while for the other class, the gravity dual has a very deep throat,
leading to an energy gap much smaller than $1/R_y$. We resolve this puzzle by
showing that for the latter class of states, perturbing the CFT off its free
point leads to the formation of a band structure in the CFT. We also explain
why such a band structure does not arise for the first class of states. Thus
for the case where a deep throat emerges in the gravity description, the
dynamics of falling down this throat is described in the CFT as a sequential
`hopping' between states all of which have the same energy at the free point;
this hopping amplitude converts an integer spaced spectrum into a closely
spaced band of energy levels.
|
[
{
"created": "Thu, 11 Aug 2022 18:01:10 GMT",
"version": "v1"
}
] |
2023-01-04
|
[
[
"Guo",
"Bin",
""
],
[
"Mathur",
"Samir D.",
""
]
] |
It is interesting to ask: how does the radial space direction emerge from the CFT in gauge-gravity duality? In this context we resolve a long-standing puzzle with the gravity duals of two classes of states in the D1D5 CFT. For each class the CFT states are in the untwisted sector, suggesting that the energy gap should be $1/R_y$ where $R_y$ is the radius of the circle on which the D1D5 CFT is compactified. For one class of states, the gravity dual indeed has exactly this gap, while for the other class, the gravity dual has a very deep throat, leading to an energy gap much smaller than $1/R_y$. We resolve this puzzle by showing that for the latter class of states, perturbing the CFT off its free point leads to the formation of a band structure in the CFT. We also explain why such a band structure does not arise for the first class of states. Thus for the case where a deep throat emerges in the gravity description, the dynamics of falling down this throat is described in the CFT as a sequential `hopping' between states all of which have the same energy at the free point; this hopping amplitude converts an integer spaced spectrum into a closely spaced band of energy levels.
| 7.9683
| 7.829882
| 8.773012
| 7.224993
| 7.897317
| 7.932596
| 7.769679
| 7.499716
| 7.432236
| 9.464183
| 7.598246
| 7.588611
| 7.858917
| 7.486152
| 7.618384
| 7.50251
| 7.621171
| 7.458529
| 7.692047
| 7.801112
| 7.331059
|
1506.03225
|
Sungmin Hwang
|
Sungmin Hwang and Dennis Schimmel
|
Vacuum Persistence in Fierz-Pauli Theory on a Curved Background
|
12 pages, 4 figures
|
Phys. Rev. D 92, 044044 (2015)
|
10.1103/PhysRevD.92.044044
|
TUM-EFT 50/14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By explicitly constructing the Hilbert space, Higuchi showed that there is a
lower bound on the mass of a minimally-coupled free spin-2 field on a curved
background \cite{HiguchiBound}. Using the vacuum persistence amplitude, we show
that this bound is modified by taking into account additional terms not
prohibited by symmetry in the case of a maximally symmetric spacetime. This
result can further be generalized to the maximally symmetric space case, such
as the FRW universe, and its corresponding bound of the deformation parameter
is discussed.
|
[
{
"created": "Wed, 10 Jun 2015 09:11:00 GMT",
"version": "v1"
}
] |
2015-08-27
|
[
[
"Hwang",
"Sungmin",
""
],
[
"Schimmel",
"Dennis",
""
]
] |
By explicitly constructing the Hilbert space, Higuchi showed that there is a lower bound on the mass of a minimally-coupled free spin-2 field on a curved background \cite{HiguchiBound}. Using the vacuum persistence amplitude, we show that this bound is modified by taking into account additional terms not prohibited by symmetry in the case of a maximally symmetric spacetime. This result can further be generalized to the maximally symmetric space case, such as the FRW universe, and its corresponding bound of the deformation parameter is discussed.
| 14.681099
| 11.496867
| 12.342557
| 11.772308
| 13.56587
| 13.260371
| 13.827291
| 11.652215
| 12.017294
| 14.502073
| 11.307455
| 12.063538
| 12.131606
| 11.463401
| 11.956458
| 11.900815
| 11.123219
| 11.399649
| 11.134825
| 11.416837
| 11.788784
|
2204.06194
|
Jarah Evslin
|
Jarah Evslin
|
Form Factors for Meson-Kink Scattering
|
9 pages, no figures
| null |
10.1016/j.physletb.2022.137177
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the leading quantum corrections to the meson form factors of
nonrelativistic kinks, at momentum transfer much higher than the meson mass. We
consider general scalar theories which need not be integrable. Our approach is
much simpler than previous approaches, avoiding any need for counterterms,
ordering ambiguities and nonlinear canonical transformations at any order in
perturbation theory.
|
[
{
"created": "Wed, 13 Apr 2022 06:43:05 GMT",
"version": "v1"
}
] |
2022-05-18
|
[
[
"Evslin",
"Jarah",
""
]
] |
We calculate the leading quantum corrections to the meson form factors of nonrelativistic kinks, at momentum transfer much higher than the meson mass. We consider general scalar theories which need not be integrable. Our approach is much simpler than previous approaches, avoiding any need for counterterms, ordering ambiguities and nonlinear canonical transformations at any order in perturbation theory.
| 16.15942
| 14.271804
| 18.043203
| 15.815238
| 16.880423
| 17.647785
| 17.163027
| 16.107
| 14.830192
| 17.265167
| 13.994912
| 14.596048
| 16.301178
| 15.35189
| 15.115986
| 14.893277
| 14.414241
| 14.537868
| 14.716939
| 16.109428
| 14.145089
|
1912.03299
|
Jun Nian
|
Jun Nian, Yachao Qian
|
Exact Multi-Instanton Solutions to Selfdual Yang-Mills Equation on
Curved Spaces
|
6 pages, 4 figures; V2: published version, more discussions added
|
Int. J. Mod. Phys. A36 (2021) 17, 2150132
|
10.1142/S0217751X21501323
|
LCTP-19-30
|
hep-th math-ph math.MP nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find exact multi-instanton solutions to the selfdual Yang-Mills equation
on a large class of curved spaces with $SO(3)$ isometry, generalizing the
results previously found on $\mathbb{R}^4$. The solutions are featured with
explicit multi-centered expressions and topological properties. As examples, we
demonstrate the approach on several different curved spaces, including the
Einstein static universe and $\mathbb{R} \times$ dS$_3^E$, and show that the
exact multi-instanton solutions exist on these curved backgrounds.
|
[
{
"created": "Fri, 6 Dec 2019 18:59:20 GMT",
"version": "v1"
},
{
"created": "Wed, 12 May 2021 08:10:28 GMT",
"version": "v2"
}
] |
2021-07-02
|
[
[
"Nian",
"Jun",
""
],
[
"Qian",
"Yachao",
""
]
] |
We find exact multi-instanton solutions to the selfdual Yang-Mills equation on a large class of curved spaces with $SO(3)$ isometry, generalizing the results previously found on $\mathbb{R}^4$. The solutions are featured with explicit multi-centered expressions and topological properties. As examples, we demonstrate the approach on several different curved spaces, including the Einstein static universe and $\mathbb{R} \times$ dS$_3^E$, and show that the exact multi-instanton solutions exist on these curved backgrounds.
| 9.269307
| 7.973173
| 8.745687
| 7.502968
| 7.850885
| 8.221469
| 8.080558
| 7.819638
| 8.578255
| 9.426724
| 8.233287
| 7.632449
| 8.305547
| 7.596713
| 7.853712
| 7.886031
| 7.947793
| 8.231033
| 7.696534
| 8.248496
| 7.845243
|
1706.03305
|
Djordje Minic
|
Laurent Freidel, Robert G. Leigh and Djordje Minic
|
Intrinsic non-commutativity of closed string theory
|
22 pages
|
JHEP 1709 (2017) 060
|
10.1007/JHEP09(2017)060
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the proper interpretation of the cocycle operators appearing in
the physical vertex operators of compactified strings is that the closed string
target is non-commutative. We track down the appearance of this
non-commutativity to the Polyakov action of the flat closed string in the
presence of translational monodromies (i.e., windings). In view of the
unexpected nature of this result, we present detailed calculations from a
variety of points of view, including a careful understanding of the
consequences of mutual locality in the vertex operator algebra, as well as a
detailed analysis of the symplectic structure of the Polyakov string. We also
underscore why this non-commutativity was not emphasized previously in the
existing literature. This non-commutativity can be thought of as a central
extension of the zero-mode operator algebra, an effect set by the string length
scale -- it is present even in trivial backgrounds. Clearly, this result
indicates that the $\alpha'\to 0$ limit is more subtle than usually assumed.
|
[
{
"created": "Sun, 11 Jun 2017 03:36:30 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Oct 2017 18:27:19 GMT",
"version": "v2"
}
] |
2017-10-06
|
[
[
"Freidel",
"Laurent",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Minic",
"Djordje",
""
]
] |
We show that the proper interpretation of the cocycle operators appearing in the physical vertex operators of compactified strings is that the closed string target is non-commutative. We track down the appearance of this non-commutativity to the Polyakov action of the flat closed string in the presence of translational monodromies (i.e., windings). In view of the unexpected nature of this result, we present detailed calculations from a variety of points of view, including a careful understanding of the consequences of mutual locality in the vertex operator algebra, as well as a detailed analysis of the symplectic structure of the Polyakov string. We also underscore why this non-commutativity was not emphasized previously in the existing literature. This non-commutativity can be thought of as a central extension of the zero-mode operator algebra, an effect set by the string length scale -- it is present even in trivial backgrounds. Clearly, this result indicates that the $\alpha'\to 0$ limit is more subtle than usually assumed.
| 11.584061
| 10.888999
| 11.819471
| 10.338918
| 11.824248
| 11.945325
| 11.08633
| 10.333801
| 10.776826
| 12.487171
| 11.018779
| 10.893647
| 11.116792
| 10.824895
| 10.831053
| 11.067612
| 10.940078
| 10.751313
| 10.889505
| 10.99678
| 10.65871
|
hep-th/9806103
|
Yi-Yen Wu
|
Chong-Sun Chu, Pei-Ming Ho, Yi-Yen Wu
|
D-Instanton in AdS_5 and Instanton in SYM_4
|
LaTeX, 19 pages, no figure, some typos corrected
|
Nucl.Phys. B541 (1999) 179-194
|
10.1016/S0550-3213(98)00802-5
|
SISSA 58/98/FM, JHU-TIPAC-98007
|
hep-th
| null |
Following the observation of Banks and Green that the D-instantons in AdS_5
correspond to the instantons in 4-dimensional supersymmetric Yang-Mills theory,
we study in more detail this correspondence for individual instantons. The
supergravity solution for a D-instanton in AdS_5 is found using the ansatz used
previously for D-instantons in flat space. We check that the actions and
supersymmetries match between the D-instanton solution and the Yang-Mills
instanton. Generalizing this result, we propose that any supergravity solution
satisfying the ansatz corresponds to a (anti-)self-dual Yang-Mills
configuration. Using this ansatz a family of identities for correlation
functions in the supersymmetric Yang-Mills theory are derived.
|
[
{
"created": "Fri, 12 Jun 1998 19:36:36 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jun 1998 17:46:49 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Chu",
"Chong-Sun",
""
],
[
"Ho",
"Pei-Ming",
""
],
[
"Wu",
"Yi-Yen",
""
]
] |
Following the observation of Banks and Green that the D-instantons in AdS_5 correspond to the instantons in 4-dimensional supersymmetric Yang-Mills theory, we study in more detail this correspondence for individual instantons. The supergravity solution for a D-instanton in AdS_5 is found using the ansatz used previously for D-instantons in flat space. We check that the actions and supersymmetries match between the D-instanton solution and the Yang-Mills instanton. Generalizing this result, we propose that any supergravity solution satisfying the ansatz corresponds to a (anti-)self-dual Yang-Mills configuration. Using this ansatz a family of identities for correlation functions in the supersymmetric Yang-Mills theory are derived.
| 7.123033
| 6.69586
| 7.062778
| 6.919799
| 7.187136
| 7.434536
| 7.131058
| 6.770996
| 6.730426
| 7.287458
| 6.455494
| 6.540512
| 6.985953
| 6.705169
| 6.604218
| 6.641872
| 6.478042
| 6.6166
| 6.76567
| 6.736177
| 6.441216
|
1403.6766
|
Marco Schreck MS
|
M. Schreck
|
Quantum field theoretic properties of Lorentz-violating operators of
nonrenormalizable dimension in the fermion sector
|
35 pages, 3 figures; version 2.0: added results on reflexion
positivity (unitarity), accepted for publication by Phys. Rev. D
|
Phys. Rev. D 90, 085025 (2014)
|
10.1103/PhysRevD.90.085025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the current paper the properties of a quantum field theory based on
certain sets of Lorentz-violating coefficients in the nonminimal fermion sector
of the Standard-Model Extension are analyzed. In particular, three families of
coefficients are considered, where two of them are CPT-even and the third is
CPT-odd. As a first step the modified fermion dispersion relations are
obtained. Then the positive- and negative-energy solutions of the modified
Dirac equation and the fermion propagator are derived. These are used to
demonstrate the validity of the optical theorem at tree-level, which provides a
cross-check for the results obtained. Furthermore unitarity is examined and
seems to be valid for the first set of CPT-even coefficients. However for the
remaining sets certain issues with unitarity are found. The article
demonstrates that the adapted quantum field theoretical methods at tree-level
work for the nonminimal, Lorentz-violating framework considered. Besides, the
quantum field theory based on the first family of CPT-even coefficients is most
likely well-behaved at lowest order perturbation theory. The results are
important for future phenomenological investigations carried out in the context
of field theory, e.g., the computation of decay rates and cross sections at
tree-level.
|
[
{
"created": "Wed, 26 Mar 2014 17:47:34 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Sep 2014 03:31:22 GMT",
"version": "v2"
}
] |
2014-11-05
|
[
[
"Schreck",
"M.",
""
]
] |
In the current paper the properties of a quantum field theory based on certain sets of Lorentz-violating coefficients in the nonminimal fermion sector of the Standard-Model Extension are analyzed. In particular, three families of coefficients are considered, where two of them are CPT-even and the third is CPT-odd. As a first step the modified fermion dispersion relations are obtained. Then the positive- and negative-energy solutions of the modified Dirac equation and the fermion propagator are derived. These are used to demonstrate the validity of the optical theorem at tree-level, which provides a cross-check for the results obtained. Furthermore unitarity is examined and seems to be valid for the first set of CPT-even coefficients. However for the remaining sets certain issues with unitarity are found. The article demonstrates that the adapted quantum field theoretical methods at tree-level work for the nonminimal, Lorentz-violating framework considered. Besides, the quantum field theory based on the first family of CPT-even coefficients is most likely well-behaved at lowest order perturbation theory. The results are important for future phenomenological investigations carried out in the context of field theory, e.g., the computation of decay rates and cross sections at tree-level.
| 7.323055
| 7.599058
| 7.632942
| 7.157289
| 7.299759
| 7.279835
| 7.312346
| 6.947332
| 6.947682
| 6.786576
| 7.383445
| 7.1387
| 7.361055
| 7.157327
| 7.224122
| 7.37026
| 7.408494
| 7.245407
| 7.239411
| 7.176297
| 7.106981
|
1309.5207
|
Diego Julio Cirilo-Lombardo
|
Diego Julio Cirilo-Lombardo (Bogoliubov Laboratory of Theoretical
Physics, JINR-Dubna) and Thiago Prudencio (Coordination in Science and
Technology - CCCT and Department of Physics - UFMA, Brazil)
|
Quantum Gravity: physics from supergeometries
|
Published in IJGMMP, Improved version (misprints and typos
corrected). 13 pages, one figure add and comments
|
Journal-ref: International Journal of Geometric Methods in Modern
Physics, Vol. 11 (2014) 1450067
|
10.1142/S0219887814500674
| null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the metric (line element) is the first geometrical object to be
associated to a discrete (quantum) structure of the spacetime without necessity
of black hole-entropy-area arguments, in sharp contrast with other attempts in
the literature. To this end, an emergent metric solution obtained previously in
[Physics Letters B 661, 186-191 (2008)] from a particular non-degenerate
Riemmanian superspace is introduced. This emergent metric is described by a
physical coherent state belonging to the metaplectic group Mp (n) with a
Poissonian distribution at lower n (number basis) restoring the classical
thermal continuum behaviour at large n (n ! 1), or leading to non-classical
radiation states, as is conjectured in a quite general basis by mean the
Bekenstein- Mukhanov effect. Group-dependent conditions that control the
behavior of the macroscopic regime spectrum (thermal or not), as the
relationship with the problem of area / entropy of the black hole are presented
and discussed.
|
[
{
"created": "Fri, 20 Sep 2013 08:38:17 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Dec 2013 08:34:13 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Mar 2014 11:19:16 GMT",
"version": "v3"
},
{
"created": "Fri, 13 Jun 2014 07:59:23 GMT",
"version": "v4"
}
] |
2014-06-16
|
[
[
"Cirilo-Lombardo",
"Diego Julio",
"",
"Bogoliubov Laboratory of Theoretical\n Physics, JINR-Dubna"
],
[
"Prudencio",
"Thiago",
"",
"Coordination in Science and\n Technology - CCCT and Department of Physics - UFMA, Brazil"
]
] |
We show that the metric (line element) is the first geometrical object to be associated to a discrete (quantum) structure of the spacetime without necessity of black hole-entropy-area arguments, in sharp contrast with other attempts in the literature. To this end, an emergent metric solution obtained previously in [Physics Letters B 661, 186-191 (2008)] from a particular non-degenerate Riemmanian superspace is introduced. This emergent metric is described by a physical coherent state belonging to the metaplectic group Mp (n) with a Poissonian distribution at lower n (number basis) restoring the classical thermal continuum behaviour at large n (n ! 1), or leading to non-classical radiation states, as is conjectured in a quite general basis by mean the Bekenstein- Mukhanov effect. Group-dependent conditions that control the behavior of the macroscopic regime spectrum (thermal or not), as the relationship with the problem of area / entropy of the black hole are presented and discussed.
| 27.71311
| 29.454025
| 27.32707
| 24.760921
| 29.128172
| 30.062651
| 32.307983
| 29.544233
| 28.380375
| 31.613018
| 26.543123
| 27.274092
| 27.144732
| 26.360886
| 25.779078
| 27.777243
| 26.840399
| 27.057865
| 26.969242
| 26.545864
| 26.578388
|
hep-th/9301021
|
Adel Bilal
|
Adel Bilal
|
Positive Energy Theorem and Supersymmetry in Exactly Solvable
Quantum-Corrected 2D Dilaton-Gravity
|
30 pages, significantly revised and extended: in particular, the
uniqueness of the positive energy functional is proven and the conditions are
made more precise. The functional is shown to lead to satisfactory ADM and
Bondi masses whose properties are studied in detail. The Bondi mass is
evaluated explicitly for the RST shockwave scenario
|
Phys.Rev. D48 (1993) 1665-1678
|
10.1103/PhysRevD.48.1665
|
PUPT-1373
|
hep-th gr-qc
| null |
Extending the work of Park and Strominger, we prove a positive energy theorem
for the exactly solvable quantum-corrected 2D dilaton gravity theories. The
positive energy functional we construct is shown to be unique (within a
reasonably broad class of such functionals). For field configurations
asymptotic to the LDV we show that this energy functional (if defined on a
space-like surface) yields the usual (classical) definition of the ADM mass
{\it plus a certain ``quantum"-correction. If defined on a null surface the
energy functional yields the Bondi mass. The latter is evaluated careflly and
applied to the RST shock-wave scenario where it is shown to behave as
physically expected. Motivated by the existence of a positivity theorem we
construct manifestly supersymmetric (semiclassical) extensions of these
quantum-corrected dilaton-gravity theories.
|
[
{
"created": "Thu, 7 Jan 1993 21:36:30 GMT",
"version": "v1"
},
{
"created": "Fri, 7 May 1993 18:46:11 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Bilal",
"Adel",
""
]
] |
Extending the work of Park and Strominger, we prove a positive energy theorem for the exactly solvable quantum-corrected 2D dilaton gravity theories. The positive energy functional we construct is shown to be unique (within a reasonably broad class of such functionals). For field configurations asymptotic to the LDV we show that this energy functional (if defined on a space-like surface) yields the usual (classical) definition of the ADM mass {\it plus a certain ``quantum"-correction. If defined on a null surface the energy functional yields the Bondi mass. The latter is evaluated careflly and applied to the RST shock-wave scenario where it is shown to behave as physically expected. Motivated by the existence of a positivity theorem we construct manifestly supersymmetric (semiclassical) extensions of these quantum-corrected dilaton-gravity theories.
| 14.495233
| 13.442584
| 13.832645
| 11.988507
| 12.85885
| 12.876142
| 12.874228
| 12.810248
| 12.40888
| 15.07816
| 12.198745
| 13.341919
| 13.216889
| 13.129518
| 13.108448
| 13.73194
| 13.504218
| 13.138824
| 13.187453
| 13.160595
| 12.887492
|
1001.2902
|
Nakwoo Kim
|
Jongwook Kim, Nakwoo Kim and Jung Hun Lee
|
Rotating Membranes in AdS_4xM^{1,1,1}
|
v2. added refs. 20 pages, 1 figure
|
JHEP 1003:122,2010
|
10.1007/JHEP03(2010)122
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the recent progress on gravity duals of supersymmetric
Chern-Simons matter theories, we consider classical membrane solutions in AdS_4
x M^{1,1,1}. In particular, we present several types of exact solutions
rotating in the Sasaki-Einstein 7-manifold whose isometry is SU(3)xSU(2)xU(1).
We analyze the limiting behavior of macroscopic membranes and discuss how one
can identify the dual operators and the implications of our result on their
conformal dimensions.
|
[
{
"created": "Mon, 18 Jan 2010 13:04:18 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2010 12:01:23 GMT",
"version": "v2"
}
] |
2010-04-30
|
[
[
"Kim",
"Jongwook",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Lee",
"Jung Hun",
""
]
] |
Motivated by the recent progress on gravity duals of supersymmetric Chern-Simons matter theories, we consider classical membrane solutions in AdS_4 x M^{1,1,1}. In particular, we present several types of exact solutions rotating in the Sasaki-Einstein 7-manifold whose isometry is SU(3)xSU(2)xU(1). We analyze the limiting behavior of macroscopic membranes and discuss how one can identify the dual operators and the implications of our result on their conformal dimensions.
| 8.803939
| 7.075325
| 11.522976
| 7.43846
| 8.119414
| 7.261957
| 7.34086
| 6.990756
| 7.092848
| 10.668411
| 7.24349
| 8.028335
| 9.255892
| 8.25572
| 8.404533
| 8.120439
| 8.307283
| 8.252724
| 7.790985
| 8.567932
| 7.925822
|
1107.2480
|
Christopher Pope
|
H. Lu, C.N. Pope, E. Sezgin and L. Wulff
|
Critical and Non-Critical Einstein-Weyl Supergravity
|
29 pages
| null |
10.1007/JHEP10(2011)131
|
MIFPA-11-27
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct N=1 supersymmetrisations of some recently-proposed theories of
critical gravity, conformal gravity, and extensions of critical gravity in four
dimensions. The total action consists of the sum of three separately off-shell
supersymmetric actions containing Einstein gravity, a cosmological term and the
square of the Weyl tensor. For generic choices of the coefficients for these
terms, the excitations of the resulting theory around an AdS_4 background
describe massive spin-2 and massless spin-2 modes coming from the metric;
massive spin-1 modes coming from a vector field in the theory; and massless and
massive spin-3/2 modes (with two unequal masses) coming from the gravitino.
These assemble into a massless and a massive N=1 spin-2 multiplet. In critical
supergravity, the coefficients are tuned so that the spin-2 mode in the massive
multiplet becomes massless. In the supersymmetrised extensions of critical
gravity, the coefficients are chosen so that the massive modes lie in a
"window" of lowest energies E_0 such that these ghostlike fields can be
truncated by imposing appropriate boundary conditions at infinity, thus leaving
just positive-norm massless supergravity modes.
|
[
{
"created": "Wed, 13 Jul 2011 07:49:53 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Sezgin",
"E.",
""
],
[
"Wulff",
"L.",
""
]
] |
We construct N=1 supersymmetrisations of some recently-proposed theories of critical gravity, conformal gravity, and extensions of critical gravity in four dimensions. The total action consists of the sum of three separately off-shell supersymmetric actions containing Einstein gravity, a cosmological term and the square of the Weyl tensor. For generic choices of the coefficients for these terms, the excitations of the resulting theory around an AdS_4 background describe massive spin-2 and massless spin-2 modes coming from the metric; massive spin-1 modes coming from a vector field in the theory; and massless and massive spin-3/2 modes (with two unequal masses) coming from the gravitino. These assemble into a massless and a massive N=1 spin-2 multiplet. In critical supergravity, the coefficients are tuned so that the spin-2 mode in the massive multiplet becomes massless. In the supersymmetrised extensions of critical gravity, the coefficients are chosen so that the massive modes lie in a "window" of lowest energies E_0 such that these ghostlike fields can be truncated by imposing appropriate boundary conditions at infinity, thus leaving just positive-norm massless supergravity modes.
| 8.263712
| 8.460636
| 9.21024
| 8.164651
| 8.371666
| 8.187514
| 8.466773
| 8.260599
| 8.254918
| 8.798767
| 8.020573
| 8.412418
| 8.293721
| 8.052168
| 8.005098
| 8.141922
| 8.100227
| 8.433931
| 8.095706
| 8.403718
| 8.255011
|
2104.07643
|
Luca Ciambelli
|
Luca Ciambelli and Robert G. Leigh
|
Isolated Surfaces and Symmetries of Gravity
|
26 Pages, Latex, V3, minor typos corrected
|
Phys. Rev. D 104, 046005 (2021)
|
10.1103/PhysRevD.104.046005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conserved charges in theories with gauge symmetries are supported on
codimension-2 surfaces in the bulk spacetime. It has recently been suggested
that various classical formulations of gravity dynamics display different
symmetries, and paying attention to the maximal such symmetry could have
important consequences to further elucidate the quantization of gravity. After
establishing an algebraic off-shell derivation of the maximal closed subalgebra
of the full bulk diffeomorphisms in the presence of an isolated corner, we show
how to geometrically describe the latter and its embedding in spacetime,
without constraining the geometry away from the corner, such as by assuming a
foliation. The analysis encompasses arbitrary embedded surfaces, of generic
codimensions $k$. The resulting corner algebra ${\cal A}_k$, calling $S$ the
embedded surface and $M$ the bulk, is that of the group $(Diff(S)\ltimes
GL(k,\mathbb{R}))\ltimes \mathbb{R}^k$. This result is independent of any
dynamics or pseudo-Riemannian structure in the bulk. We then evaluate the
Noether charges of ${\cal A}_2$ for Einstein-Hilbert dynamics and show that the
Noether charge algebra gives a representation of the algebra ${\cal A}_2$, for
finite proper distance corners in the bulk, while all other charges associated
with $Diff(M)$ vanish.
|
[
{
"created": "Thu, 15 Apr 2021 17:51:34 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jul 2021 16:03:05 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Mar 2022 15:11:37 GMT",
"version": "v3"
}
] |
2022-03-17
|
[
[
"Ciambelli",
"Luca",
""
],
[
"Leigh",
"Robert G.",
""
]
] |
Conserved charges in theories with gauge symmetries are supported on codimension-2 surfaces in the bulk spacetime. It has recently been suggested that various classical formulations of gravity dynamics display different symmetries, and paying attention to the maximal such symmetry could have important consequences to further elucidate the quantization of gravity. After establishing an algebraic off-shell derivation of the maximal closed subalgebra of the full bulk diffeomorphisms in the presence of an isolated corner, we show how to geometrically describe the latter and its embedding in spacetime, without constraining the geometry away from the corner, such as by assuming a foliation. The analysis encompasses arbitrary embedded surfaces, of generic codimensions $k$. The resulting corner algebra ${\cal A}_k$, calling $S$ the embedded surface and $M$ the bulk, is that of the group $(Diff(S)\ltimes GL(k,\mathbb{R}))\ltimes \mathbb{R}^k$. This result is independent of any dynamics or pseudo-Riemannian structure in the bulk. We then evaluate the Noether charges of ${\cal A}_2$ for Einstein-Hilbert dynamics and show that the Noether charge algebra gives a representation of the algebra ${\cal A}_2$, for finite proper distance corners in the bulk, while all other charges associated with $Diff(M)$ vanish.
| 11.79308
| 12.398175
| 12.248901
| 10.800819
| 12.002233
| 12.400176
| 12.344342
| 11.433791
| 11.048216
| 12.673403
| 11.11816
| 11.130217
| 11.152598
| 10.812481
| 11.43152
| 11.33337
| 11.26259
| 11.206152
| 10.980979
| 11.277444
| 11.463901
|
2001.04957
|
V. Parameswaran Nair
|
V.P. Nair
|
Entanglement for Quantum Hall states and a Generalized Chern-Simons Form
|
27 pages
|
Phys. Rev. D 101, 125021 (2020)
|
10.1103/PhysRevD.101.125021
| null |
hep-th cond-mat.other math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze some features of the entanglement entropy for an integer quantum
Hall state ($\nu =1 $) in comparison with ideas from relativistic field theory
and noncommutative geometry. The spectrum of the modular operator, for a
restricted class of states, is shown to be similar to the case of field theory
or a type ${\rm III}_1$ von Neumann algebra. We present arguments that the main
part of the dependence of the entanglement entropy on background fields and
geometric data such as the spin connection is given by a generalized
Chern-Simons form. Implications of this result for bringing together ideas of
noncommutative geometry, entropy and gravity are briefly commented upon.
|
[
{
"created": "Tue, 14 Jan 2020 18:30:55 GMT",
"version": "v1"
}
] |
2020-07-01
|
[
[
"Nair",
"V. P.",
""
]
] |
We analyze some features of the entanglement entropy for an integer quantum Hall state ($\nu =1 $) in comparison with ideas from relativistic field theory and noncommutative geometry. The spectrum of the modular operator, for a restricted class of states, is shown to be similar to the case of field theory or a type ${\rm III}_1$ von Neumann algebra. We present arguments that the main part of the dependence of the entanglement entropy on background fields and geometric data such as the spin connection is given by a generalized Chern-Simons form. Implications of this result for bringing together ideas of noncommutative geometry, entropy and gravity are briefly commented upon.
| 10.674225
| 10.282895
| 10.423552
| 9.833878
| 10.849213
| 10.244597
| 10.341273
| 10.122042
| 9.85424
| 12.350423
| 9.773492
| 10.224579
| 10.057699
| 10.104566
| 10.038926
| 10.038675
| 10.207734
| 9.881388
| 9.823497
| 10.463982
| 10.019892
|
hep-th/9411197
|
Nathan Poliatzky
|
Nathan Poliatzky
|
Normalization of scattering states and Levinson's theorem: reply to a
Comment by R. G. Newton
|
7 pages, latex, no figures
|
Helv.Phys.Acta 67 (1994) 683-689
| null |
ETH-TH/94-20
|
hep-th nucl-th
| null |
Recently R. G. Newton published a comment criticizing the methods and the
results of a paper published by the author. His criticism touches on a few key
points of the subject and hence deserves a detailed reply. Here is the reply,
point by point, to his criticism.
|
[
{
"created": "Sun, 27 Nov 1994 13:09:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Poliatzky",
"Nathan",
""
]
] |
Recently R. G. Newton published a comment criticizing the methods and the results of a paper published by the author. His criticism touches on a few key points of the subject and hence deserves a detailed reply. Here is the reply, point by point, to his criticism.
| 15.144531
| 12.352226
| 12.670092
| 12.04311
| 10.615311
| 13.54536
| 13.202178
| 12.882439
| 11.810235
| 11.194501
| 11.975063
| 13.370162
| 11.909423
| 12.178219
| 12.377698
| 13.258124
| 13.380301
| 12.678737
| 12.536278
| 12.525839
| 12.406343
|
hep-th/9701187
|
Igor Klebanov
|
Igor R. Klebanov and Samir D. Mathur
|
Black Hole Greybody Factors and Absorption of Scalars by Effective
Strings
|
20 pages, harvmac; two references added
|
Nucl.Phys.B500:115-132,1997
|
10.1016/S0550-3213(97)00287-3
|
PUPT-1679
|
hep-th
| null |
We compute the greybody factors for classical black holes in a domain where
two kinds of charges and their anticharges are excited by the extra energy over
extremality. We compare the result to the greybody factors expected from an
effective string model which was earlier shown to give the correct entropy. In
the regime where the left and right moving temperatures are much smaller than
the square root of the effective string tension, we find a non-trivial greybody
factor which agrees with the effective string model. However, if the
temperatures are comparable with the square root of the effective string
tension, the greybody factors agree only at the leading order in energy.
Nevertheless, there are several interesting relations between the two results,
suggesting that a modification of the effective string model might lead to
better agreement.
|
[
{
"created": "Thu, 30 Jan 1997 22:47:41 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 1997 22:27:32 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Klebanov",
"Igor R.",
""
],
[
"Mathur",
"Samir D.",
""
]
] |
We compute the greybody factors for classical black holes in a domain where two kinds of charges and their anticharges are excited by the extra energy over extremality. We compare the result to the greybody factors expected from an effective string model which was earlier shown to give the correct entropy. In the regime where the left and right moving temperatures are much smaller than the square root of the effective string tension, we find a non-trivial greybody factor which agrees with the effective string model. However, if the temperatures are comparable with the square root of the effective string tension, the greybody factors agree only at the leading order in energy. Nevertheless, there are several interesting relations between the two results, suggesting that a modification of the effective string model might lead to better agreement.
| 8.815052
| 8.459329
| 8.86822
| 8.142544
| 8.777537
| 8.86263
| 8.961792
| 8.665815
| 8.293945
| 9.061553
| 8.252007
| 8.246691
| 8.790819
| 8.132565
| 8.211213
| 8.286906
| 8.432787
| 8.348455
| 8.331665
| 8.677724
| 8.094244
|
hep-th/9204042
| null |
E. Raiten
|
Asymptotic Behavior of 2-d Black Holes
|
10 pages
|
Phys.Lett. B289 (1992) 287-292
|
10.1016/0370-2693(92)91221-T
| null |
hep-th
| null |
We consider the solutions of the field equations for the large $N$ dilaton
gravity model in $1+1$ dimensions recently proposed by Callan, Giddings, Harvey
and Strominger (CGHS). We find time dependant solutions with finite mass and
vanishing flux in the weak coupling regime, as well as solutions which lie
entirely in the Liouville region.
|
[
{
"created": "Wed, 15 Apr 1992 15:43:41 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Raiten",
"E.",
""
]
] |
We consider the solutions of the field equations for the large $N$ dilaton gravity model in $1+1$ dimensions recently proposed by Callan, Giddings, Harvey and Strominger (CGHS). We find time dependant solutions with finite mass and vanishing flux in the weak coupling regime, as well as solutions which lie entirely in the Liouville region.
| 9.846641
| 7.478823
| 7.977623
| 7.188851
| 7.517877
| 7.377098
| 7.224621
| 6.933908
| 7.238266
| 7.398046
| 7.096461
| 7.626324
| 8.665183
| 7.824526
| 7.663339
| 7.654972
| 7.560442
| 7.73817
| 7.686779
| 8.21875
| 7.636972
|
hep-th/0510121
|
Raphael Bousso
|
Raphael Bousso and Aleksey L. Mints
|
Decoding the matrix: Coincident membranes on the plane wave
|
43 pages, 2 figures
|
Phys.Rev.D73:066014,2006
|
10.1103/PhysRevD.73.066014
|
UCB-PTH-05/31 LBNL-58946
|
hep-th
| null |
At the core of nonperturbative theories of quantum gravity lies the
holographic encoding of bulk data in large matrices. At present this mapping is
poorly understood. The plane wave matrix model provides a laboratory for
isolating aspects of this problem in a controlled setting.
At large boosts, configurations of concentric membranes become superselection
sectors, whose exact spectra are known. From the bulk point of view one expects
product states of individual membranes to be contained within the full
spectrum. However, for non-BPS states this inclusion relation is obscured by
Gauss law constraints. Its validity rests on nontrivial relations in
representation theory, which we identify and verify by explicit computation.
|
[
{
"created": "Fri, 14 Oct 2005 19:56:48 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bousso",
"Raphael",
""
],
[
"Mints",
"Aleksey L.",
""
]
] |
At the core of nonperturbative theories of quantum gravity lies the holographic encoding of bulk data in large matrices. At present this mapping is poorly understood. The plane wave matrix model provides a laboratory for isolating aspects of this problem in a controlled setting. At large boosts, configurations of concentric membranes become superselection sectors, whose exact spectra are known. From the bulk point of view one expects product states of individual membranes to be contained within the full spectrum. However, for non-BPS states this inclusion relation is obscured by Gauss law constraints. Its validity rests on nontrivial relations in representation theory, which we identify and verify by explicit computation.
| 17.481287
| 18.535814
| 22.172375
| 17.240034
| 18.424746
| 18.747478
| 17.997427
| 16.755894
| 17.386608
| 23.073704
| 16.905272
| 16.535311
| 18.714794
| 16.900383
| 16.750359
| 16.092863
| 17.148203
| 16.310007
| 16.156771
| 18.086037
| 16.40781
|
2306.06733
|
Mengqi Lu
|
Mengqi Lu, Robert B. Mann
|
Maxwell construction and multi-criticality in uncharged generalized
quasi-topological black Holes
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate the existence of $N$-tuple critical points of uncharged AdS
black holes in generalized quasi-topological theories. The criticality is shown
to have a geometrical interpretation described by the Maxwell's equal area
rule. We present a compact reformulation of the area rule and identify a
criterion for the emergence such points. Using this criterion, we construct
several multi-critical points with genuine generalized quasi-topological
densities, including a quadruple and a quintuple points.
|
[
{
"created": "Sun, 11 Jun 2023 17:55:27 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jun 2023 20:26:30 GMT",
"version": "v2"
}
] |
2023-06-19
|
[
[
"Lu",
"Mengqi",
""
],
[
"Mann",
"Robert B.",
""
]
] |
We demonstrate the existence of $N$-tuple critical points of uncharged AdS black holes in generalized quasi-topological theories. The criticality is shown to have a geometrical interpretation described by the Maxwell's equal area rule. We present a compact reformulation of the area rule and identify a criterion for the emergence such points. Using this criterion, we construct several multi-critical points with genuine generalized quasi-topological densities, including a quadruple and a quintuple points.
| 16.853361
| 16.30765
| 13.668374
| 14.187
| 13.884708
| 13.670491
| 14.967289
| 13.526181
| 14.712029
| 17.105541
| 14.230722
| 14.192655
| 14.518506
| 14.612199
| 14.893787
| 14.714687
| 14.824125
| 14.130343
| 14.31101
| 14.540448
| 14.51081
|
1708.06793
|
Robert Brandenberger
|
Robert Brandenberger, Guilherme Franzmann and Qiuyue Liang (McGill)
|
Running of the Spectrum of Cosmological Perturbations in String Gas
Cosmology
|
6 pages, 3 figures
|
Phys. Rev. D 96, 123513 (2017)
|
10.1103/PhysRevD.96.123513
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the running of the spectrum of cosmological perturbations in
String Gas Cosmology, making use of a smooth parametrization of the transition
between the early Hagedorn phase and the later radiation phase. We find that
the running has the same sign as in simple models of single scalar field
inflation. Its magnitude is proportional to $(1 - n_s)$ ($n_s$ being the slope
index of the spectrum), and it is thus parametrically larger than for
inflationary cosmology, where it is proportional to $(1 - n_s)^2$.
|
[
{
"created": "Tue, 22 Aug 2017 19:39:03 GMT",
"version": "v1"
}
] |
2017-12-20
|
[
[
"Brandenberger",
"Robert",
"",
"McGill"
],
[
"Franzmann",
"Guilherme",
"",
"McGill"
],
[
"Liang",
"Qiuyue",
"",
"McGill"
]
] |
We compute the running of the spectrum of cosmological perturbations in String Gas Cosmology, making use of a smooth parametrization of the transition between the early Hagedorn phase and the later radiation phase. We find that the running has the same sign as in simple models of single scalar field inflation. Its magnitude is proportional to $(1 - n_s)$ ($n_s$ being the slope index of the spectrum), and it is thus parametrically larger than for inflationary cosmology, where it is proportional to $(1 - n_s)^2$.
| 6.734413
| 6.297641
| 6.379056
| 5.936942
| 6.114271
| 6.199722
| 5.952665
| 5.715475
| 5.667018
| 6.427871
| 5.98414
| 5.758975
| 6.01832
| 5.920146
| 5.896529
| 6.153193
| 6.05826
| 5.88401
| 6.004982
| 6.274149
| 6.048804
|
hep-th/0506020
|
Mikhail Smolyakov
|
Mikhail N. Smolyakov
|
The strong coupling effect and auxiliary fields in the DGP-model
|
9 pages, LaTeX
|
Phys.Rev. D72 (2005) 084010
|
10.1103/PhysRevD.72.084010
| null |
hep-th
| null |
The DGP-model with additional terms in the action is considered. These terms
have a special form and include auxiliary scalar fields without kinetic terms,
which are non-minimally coupled to gravity. The use of these fields allows one
to exclude the mode, which corresponds to the strong coupling effect, from the
theory. Effective four-dimensional theory on the brane appears to be the same,
as in the original DGP-model.
|
[
{
"created": "Thu, 2 Jun 2005 00:59:04 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Smolyakov",
"Mikhail N.",
""
]
] |
The DGP-model with additional terms in the action is considered. These terms have a special form and include auxiliary scalar fields without kinetic terms, which are non-minimally coupled to gravity. The use of these fields allows one to exclude the mode, which corresponds to the strong coupling effect, from the theory. Effective four-dimensional theory on the brane appears to be the same, as in the original DGP-model.
| 10.637461
| 8.740103
| 9.452993
| 7.935708
| 8.91124
| 9.614779
| 9.168245
| 7.817148
| 8.877913
| 8.459908
| 8.597651
| 8.330445
| 8.588078
| 8.3265
| 8.616471
| 8.887575
| 8.882705
| 8.347877
| 8.686633
| 8.510941
| 8.482409
|
hep-th/9707071
|
Martin Gremm
|
Martin Gremm
|
The Coulomb branch of N=1 supersymmetric SU(N_c) x SU(N_c) gauge
theories
|
16 pages, no figures, revtex; typos corrected
|
Phys. Rev. D 57, 2537 (1998)
|
10.1103/PhysRevD.57.2537
|
CALT-68-2125
|
hep-th
| null |
We analyze the low energy behavior of N=1 supersymmetric gauge theories with
SU(N_c) x SU(N_c) gauge group and a Landau-Ginzburg type superpotential. These
theories contain fundamentals transforming under one of the gauge groups as
well as bifundamental matter which transforms as a fundamentals under each. We
obtain the parametrization of the gauge coupling on the Coulomb branch in terms
of a hyperelliptic curve. The derivation of this curve involves making use of
Seiberg's duality for SQCD as well as the classical constraints for N_f=N_c+1
and the quantum modified constraints for N_f=N_c.
|
[
{
"created": "Tue, 8 Jul 1997 01:13:55 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jan 1998 18:41:47 GMT",
"version": "v2"
}
] |
2016-08-25
|
[
[
"Gremm",
"Martin",
""
]
] |
We analyze the low energy behavior of N=1 supersymmetric gauge theories with SU(N_c) x SU(N_c) gauge group and a Landau-Ginzburg type superpotential. These theories contain fundamentals transforming under one of the gauge groups as well as bifundamental matter which transforms as a fundamentals under each. We obtain the parametrization of the gauge coupling on the Coulomb branch in terms of a hyperelliptic curve. The derivation of this curve involves making use of Seiberg's duality for SQCD as well as the classical constraints for N_f=N_c+1 and the quantum modified constraints for N_f=N_c.
| 7.606899
| 6.526562
| 8.121384
| 6.634142
| 7.198895
| 7.191862
| 7.329974
| 6.412512
| 6.776162
| 8.484717
| 6.779228
| 7.111261
| 7.818876
| 6.628697
| 7.053964
| 6.80319
| 6.75997
| 6.983766
| 6.960466
| 7.635825
| 6.891698
|
hep-th/9110068
| null |
Yoshiaki Tanii and Shun-ichi Yamaguchi
|
Two-Dimensional Quantum Gravity on a Disk
|
18 pages
|
Mod.Phys.Lett. A7 (1992) 521-532
|
10.1142/S0217732392000483
| null |
hep-th
| null |
We study a two-dimensional conformal field theory coupled to quantum gravity
on a disk. Using the continuum Liouville field approach, we compute three-point
correlation functions of boundary operators. The structure of momentum
singularities is different from that of correlation functions on a sphere and
is more complicated. We also compute four-point functions of boundary operators
and three-point functions of two boundary operators and one bulk operator.
|
[
{
"created": "Mon, 28 Oct 1991 01:23:58 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Tanii",
"Yoshiaki",
""
],
[
"Yamaguchi",
"Shun-ichi",
""
]
] |
We study a two-dimensional conformal field theory coupled to quantum gravity on a disk. Using the continuum Liouville field approach, we compute three-point correlation functions of boundary operators. The structure of momentum singularities is different from that of correlation functions on a sphere and is more complicated. We also compute four-point functions of boundary operators and three-point functions of two boundary operators and one bulk operator.
| 7.155259
| 5.822063
| 7.763072
| 5.895683
| 6.217788
| 5.632196
| 6.118748
| 5.659703
| 5.427127
| 7.958414
| 5.787474
| 6.430707
| 7.386335
| 6.397769
| 6.436597
| 6.456034
| 6.419163
| 6.346457
| 6.379063
| 6.89418
| 6.217613
|
1502.06185
|
Blagoje Oblak
|
Glenn Barnich, Hernan A. Gonzalez, Alexander Maloney, Blagoje Oblak
|
One-loop partition function of three-dimensional flat gravity
|
8 pages. v2: Minor misprints corrected, reference [10] updated.
Published in JHEP
| null |
10.1007/JHEP04(2015)178
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we point out that the one-loop partition function of
three-dimensional flat gravity, computed along the lines originally developed
for the anti-de Sitter case, reproduces characters of the BMS3 group.
|
[
{
"created": "Sun, 22 Feb 2015 06:02:14 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jun 2015 09:19:59 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Barnich",
"Glenn",
""
],
[
"Gonzalez",
"Hernan A.",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Oblak",
"Blagoje",
""
]
] |
In this note we point out that the one-loop partition function of three-dimensional flat gravity, computed along the lines originally developed for the anti-de Sitter case, reproduces characters of the BMS3 group.
| 13.600246
| 9.019395
| 12.187174
| 10.152137
| 9.326887
| 10.431131
| 9.563292
| 9.244142
| 10.033191
| 14.044254
| 9.321135
| 10.039232
| 12.337157
| 9.967421
| 10.078776
| 10.135995
| 10.064185
| 9.649752
| 10.54844
| 11.632092
| 10.017764
|
hep-th/9411165
|
Mark Evans
|
Mark Evans (Rockefeller) and Ioannis Giannakis (Texas A&M)
|
Symmetry Principles for String Theory
|
5 pages, Plain TeX, no figures
| null |
10.1007/3-540-59163-X_270
|
CTP-TAMU-64/94, ACT-22/94, RU-94-B-8
|
hep-th
| null |
The gauge symmetries that underlie string theory arise from inner
automorphisms of the algebra of observables of the associated conformal field
theory. In this way it is possible to study broken and unbroken symmetries on
the same footing, and exhibit an infinite-dimensional supersymmetry algebra
that includes space-time diffeomorphisms and an infinite number of
spontaneously broken level-mixing symmetries. We review progress in this area,
culminating in the identification of a weighted tensor algebra as a subalgebra
of the full symmetry. We also briefly describe outstanding problems. Talk
presented at the Gursey memorial conference, Istanbul, Turkey, June, 1994.
|
[
{
"created": "Wed, 23 Nov 1994 00:25:14 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Evans",
"Mark",
"",
"Rockefeller"
],
[
"Giannakis",
"Ioannis",
"",
"Texas A&M"
]
] |
The gauge symmetries that underlie string theory arise from inner automorphisms of the algebra of observables of the associated conformal field theory. In this way it is possible to study broken and unbroken symmetries on the same footing, and exhibit an infinite-dimensional supersymmetry algebra that includes space-time diffeomorphisms and an infinite number of spontaneously broken level-mixing symmetries. We review progress in this area, culminating in the identification of a weighted tensor algebra as a subalgebra of the full symmetry. We also briefly describe outstanding problems. Talk presented at the Gursey memorial conference, Istanbul, Turkey, June, 1994.
| 9.990834
| 9.36832
| 10.589014
| 9.060287
| 10.05045
| 9.497079
| 9.515539
| 9.227356
| 8.746336
| 11.642163
| 8.659685
| 9.425338
| 10.359594
| 9.452806
| 9.416872
| 9.61398
| 9.710962
| 9.681032
| 9.831791
| 9.864294
| 9.208657
|
1803.11087
|
Tetsuji Kimura
|
Tetsuji Kimura, Shin Sasaki, Kenta Shiozawa
|
Worldsheet Instanton Corrections to Five-branes and Waves in Double
Field Theory
|
37 pages, minor corrections from published version
|
JHEP 07 (2018) 001
|
10.1007/JHEP07(2018)001
|
TIT/HEP-664
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We make a comprehensive study on the string winding corrections to
supergravity solutions in double field theory (DFT). We find five-brane and
wave solutions of diverse codimensions in which the winding coordinates are
naturally included. We discuss a physical interpretation of the winding
coordinate dependence. The analysis based on the geometric structures behind
the solutions leads to an interpretation of the winding dependence as string
worldsheet instanton corrections. We also give a brief discussion on the
origins of these winding corrections in gauged linear sigma model. Our analysis
reveals that for every supergravity solution, one has DFT solutions that
include string winding corrections.
|
[
{
"created": "Thu, 29 Mar 2018 14:13:06 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2018 13:20:10 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Aug 2023 02:52:45 GMT",
"version": "v3"
}
] |
2023-08-22
|
[
[
"Kimura",
"Tetsuji",
""
],
[
"Sasaki",
"Shin",
""
],
[
"Shiozawa",
"Kenta",
""
]
] |
We make a comprehensive study on the string winding corrections to supergravity solutions in double field theory (DFT). We find five-brane and wave solutions of diverse codimensions in which the winding coordinates are naturally included. We discuss a physical interpretation of the winding coordinate dependence. The analysis based on the geometric structures behind the solutions leads to an interpretation of the winding dependence as string worldsheet instanton corrections. We also give a brief discussion on the origins of these winding corrections in gauged linear sigma model. Our analysis reveals that for every supergravity solution, one has DFT solutions that include string winding corrections.
| 12.95951
| 13.232053
| 13.82058
| 12.057225
| 13.252299
| 12.306919
| 12.938129
| 12.867373
| 12.207137
| 14.730325
| 11.480928
| 11.697843
| 12.326759
| 11.701419
| 12.174573
| 11.750809
| 11.785358
| 12.502361
| 11.466854
| 12.454002
| 11.605529
|
1611.03534
|
Gustavo Dotti
|
Bernardo Araneda and Gustavo Dotti
|
Instability of asymptotically anti de Sitter black holes under Robin
conditions at the timelike boundary
|
Suppression of classification of effective potentials, restriction to
non-singular case, added details on ADS/CFT boundary conditions
|
Phys. Rev. D 96, 104020 (2017)
|
10.1103/PhysRevD.96.104020
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The static region outside the event horizon of an asymptotically anti de
Sitter black hole has a conformal timelike boundary $\mathscr{I}$ on which
boundary conditions have to be imposed for the evolution of linear fields from
initial data to be a well posed problem. Only homogeneous Dirichlet, Neumann or
Robin conditions preserve the action of the background isometry group on the
solution space. We study the case in which the modal decomposition of the
linear field leads to potentials not diverging at the conformal timelike
boundary. We prove that there is always an instability if Robin boundary
conditions with large enough $\gamma$ (the quotient between the values of the
derivative of the field and the field at the boundary) are allowed. We explain
the origin of this instability, show that for modes with nonnegative potentials
there is a single unstable state and prove a number of properties of this
state. Although our results apply in general to 1+1 wave equations on a half
infinite domain with a potential that is not singular at the boundary, our
motivation is to analyze the gravitational stability of the four dimensional
Schwarzschild anti de Sitter black holes (SAdS${}_4$) in the context of the
black hole non modal linear stability program initiated in Phys.\ Rev.\ Lett.\
{\bf 112}, 191101 (2014), and the related supersymmetric type of duality
exchanging odd and even modes. We prove that this symmetry is broken except
when a combination of Dirichlet conditions in the even sector and a particular
Robin condition in the odd sector is enforced, or viceversa, and that only the
first of these two choices leads to a stable dynamics.
|
[
{
"created": "Thu, 10 Nov 2016 22:19:45 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Feb 2017 15:55:57 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Oct 2017 21:13:02 GMT",
"version": "v3"
}
] |
2017-11-22
|
[
[
"Araneda",
"Bernardo",
""
],
[
"Dotti",
"Gustavo",
""
]
] |
The static region outside the event horizon of an asymptotically anti de Sitter black hole has a conformal timelike boundary $\mathscr{I}$ on which boundary conditions have to be imposed for the evolution of linear fields from initial data to be a well posed problem. Only homogeneous Dirichlet, Neumann or Robin conditions preserve the action of the background isometry group on the solution space. We study the case in which the modal decomposition of the linear field leads to potentials not diverging at the conformal timelike boundary. We prove that there is always an instability if Robin boundary conditions with large enough $\gamma$ (the quotient between the values of the derivative of the field and the field at the boundary) are allowed. We explain the origin of this instability, show that for modes with nonnegative potentials there is a single unstable state and prove a number of properties of this state. Although our results apply in general to 1+1 wave equations on a half infinite domain with a potential that is not singular at the boundary, our motivation is to analyze the gravitational stability of the four dimensional Schwarzschild anti de Sitter black holes (SAdS${}_4$) in the context of the black hole non modal linear stability program initiated in Phys.\ Rev.\ Lett.\ {\bf 112}, 191101 (2014), and the related supersymmetric type of duality exchanging odd and even modes. We prove that this symmetry is broken except when a combination of Dirichlet conditions in the even sector and a particular Robin condition in the odd sector is enforced, or viceversa, and that only the first of these two choices leads to a stable dynamics.
| 9.189653
| 10.292021
| 9.28381
| 9.212941
| 9.700398
| 9.090246
| 9.447669
| 9.629332
| 9.561445
| 9.724743
| 9.410931
| 9.274325
| 8.75689
| 8.850796
| 8.912581
| 9.154402
| 9.013083
| 8.865296
| 9.204082
| 9.173424
| 9.06436
|
2002.03581
|
Hugo Garcia-Compean
|
H. Garcia-Compean, Alberto Vazquez
|
Euclidean Wormholes in Horava-Lifshitz Gravity
|
23 pages, 5 figures
|
Phys. Rev. D 101, 084048 (2020)
|
10.1103/PhysRevD.101.084048
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study Euclidean wormholes in the framework of the Horava-Lifshitz theory
of gravity. Euclidean wormholes first appeared in the Euclidean path integral
approach to quantum gravity. In a more general way, Hawking and Page
interpreted such configurations as solutions to the Wheeler-DeWitt equation
with appropriate boundary conditions. We use the projectable version of
Horava-Lifshitz gravity to obtain the Wheeler-DeWitt equation of a
minisuperspace model considering a closed Friedmann Universe plus a massless
scalar field. For large values of the scale factor we find that the solution of
the Wheeler-DeWitt equation coincides with the one obtained by Hawking. Whereas
in the limit corresponding to the early Universe we find a new set of
solutions, which agree with the Hawking and Page boundary conditions for
wormholes.
|
[
{
"created": "Mon, 10 Feb 2020 07:24:46 GMT",
"version": "v1"
}
] |
2020-04-29
|
[
[
"Garcia-Compean",
"H.",
""
],
[
"Vazquez",
"Alberto",
""
]
] |
We study Euclidean wormholes in the framework of the Horava-Lifshitz theory of gravity. Euclidean wormholes first appeared in the Euclidean path integral approach to quantum gravity. In a more general way, Hawking and Page interpreted such configurations as solutions to the Wheeler-DeWitt equation with appropriate boundary conditions. We use the projectable version of Horava-Lifshitz gravity to obtain the Wheeler-DeWitt equation of a minisuperspace model considering a closed Friedmann Universe plus a massless scalar field. For large values of the scale factor we find that the solution of the Wheeler-DeWitt equation coincides with the one obtained by Hawking. Whereas in the limit corresponding to the early Universe we find a new set of solutions, which agree with the Hawking and Page boundary conditions for wormholes.
| 5.550325
| 5.426375
| 5.39438
| 5.211193
| 5.566621
| 5.917709
| 5.637438
| 5.170077
| 5.512698
| 5.664711
| 5.426605
| 5.552672
| 5.328091
| 5.288879
| 5.249865
| 5.504558
| 5.558076
| 5.251817
| 5.41965
| 5.403915
| 5.444458
|
0806.0972
|
Ralf Hofmann
|
Josef Ludescher and Ralf Hofmann
|
Thermal photon dispersion law and modified black-body spectra
|
v2: 13 pages, 6 figures; sec. 2.1. added to explain effective theory;
references added; matches journal published version
|
Annalen Phys.18:271-280,2009
|
10.1002/andp.200910348
|
KA-TP-12-2008
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on the postulate that photon propagation is governed by an SU(2) gauge
principle we numerically compute the one-loop dispersion for thermalized photon
propagation on the radiatively induced mass shell. Formerly, the dispersion was
addressed by assuming $p^2=0$. While this approximation turns out to be
excellent for temperatures $\le 2 T_{\tiny{CMB}}$ the exact result exhibits a
much faster (power-like) shrinking of the gap in the black-body spectral
intensity with rising temperature. Our previous statements on anomalous
large-angle CMB temperature-temperature correlations, obtained in the
approximation $p^2=0$, remain valid.
|
[
{
"created": "Tue, 3 Jun 2008 15:47:32 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Mar 2009 20:56:57 GMT",
"version": "v2"
}
] |
2009-09-29
|
[
[
"Ludescher",
"Josef",
""
],
[
"Hofmann",
"Ralf",
""
]
] |
Based on the postulate that photon propagation is governed by an SU(2) gauge principle we numerically compute the one-loop dispersion for thermalized photon propagation on the radiatively induced mass shell. Formerly, the dispersion was addressed by assuming $p^2=0$. While this approximation turns out to be excellent for temperatures $\le 2 T_{\tiny{CMB}}$ the exact result exhibits a much faster (power-like) shrinking of the gap in the black-body spectral intensity with rising temperature. Our previous statements on anomalous large-angle CMB temperature-temperature correlations, obtained in the approximation $p^2=0$, remain valid.
| 18.889132
| 17.776205
| 17.466801
| 17.039726
| 16.444963
| 18.484037
| 16.301069
| 16.67536
| 17.557783
| 17.538223
| 16.817501
| 17.855776
| 18.824041
| 17.340429
| 17.295366
| 17.809408
| 16.755722
| 17.909779
| 18.196194
| 18.063877
| 17.103764
|
hep-th/0010125
|
Christian Ekstrand
|
Christian Ekstrand
|
Cohomology and Topological Anomalies
|
9 pages
|
Phys.Lett. B497 (2001) 145-150
|
10.1016/S0370-2693(00)01307-1
| null |
hep-th
| null |
The chiral anomaly can be considered as an object defined either on the space
of gauge potentials or on the orbit space. We will discuss the relation between
the two descriptions. We will also relate to the cohomology of the group of
gauge transformations.
|
[
{
"created": "Mon, 16 Oct 2000 13:14:29 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ekstrand",
"Christian",
""
]
] |
The chiral anomaly can be considered as an object defined either on the space of gauge potentials or on the orbit space. We will discuss the relation between the two descriptions. We will also relate to the cohomology of the group of gauge transformations.
| 10.086054
| 7.637733
| 8.724105
| 7.590487
| 9.30003
| 8.397077
| 8.486018
| 8.329782
| 7.434944
| 10.287089
| 8.230464
| 8.367761
| 8.661268
| 8.449571
| 8.953438
| 8.799318
| 8.796237
| 8.407711
| 8.710034
| 8.788316
| 8.213775
|
1806.07035
|
Feng Qu
|
Feng Qu and Yi-hong Gao
|
Scalar fields on $p$AdS
|
v2: wrong caculation method corrected v3: revised version for
publication in PLB
| null |
10.1016/j.physletb.2018.09.043
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain a subgroup of the isometry group of $p$AdS (a $p$-adic version of
AdS alternative to the Bruhat-Tits tree). We propose a candidate for the scalar
bulk action and equation of motion on $p$AdS, and work out analytical
expressions of the Green's functions for a particular choice of parameter
together with an ansatz for general cases. The limiting behaviors of the
Green's function are also studied. With their help, the convergence of small
loops (whose radii are smaller than AdS length scale of $p$AdS) is analyzed.
|
[
{
"created": "Tue, 19 Jun 2018 04:03:17 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jul 2018 08:10:54 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Sep 2018 16:39:07 GMT",
"version": "v3"
}
] |
2018-10-04
|
[
[
"Qu",
"Feng",
""
],
[
"Gao",
"Yi-hong",
""
]
] |
We obtain a subgroup of the isometry group of $p$AdS (a $p$-adic version of AdS alternative to the Bruhat-Tits tree). We propose a candidate for the scalar bulk action and equation of motion on $p$AdS, and work out analytical expressions of the Green's functions for a particular choice of parameter together with an ansatz for general cases. The limiting behaviors of the Green's function are also studied. With their help, the convergence of small loops (whose radii are smaller than AdS length scale of $p$AdS) is analyzed.
| 13.851336
| 13.363341
| 15.763015
| 14.196045
| 14.109306
| 14.612637
| 14.959494
| 13.910941
| 13.909141
| 14.976737
| 13.954677
| 13.684262
| 13.788602
| 13.78116
| 14.035829
| 14.062511
| 14.144827
| 13.811989
| 14.102882
| 13.738624
| 13.330747
|
hep-th/0206187
|
Shoichi Ichinose
|
Shoichi Ichinose
|
Fermions in Kaluza-Klein and Randall-Sundrum Theories
|
30 pages, 4 figures, Typographical errors are corrected
|
Phys.Rev. D66 (2002) 104015
|
10.1103/PhysRevD.66.104015
|
US-02-05
|
hep-th hep-ph
| null |
The Kaluza-Klein theory and Randall-Sundrum theory are examined
comparatively, with focus on the behavior of the five dimensional (Dirac)
fermion in the dimensional reduction to four dimensions. They are properly
treated using the Cartan formalism. In the KK case, the dual property between
the electric and magnetic dipole moments is revealed in relation to the ratio
of two massive parameters: the inverse of the radius of the extra-space circle
and the 5D fermion mass. The order estimation of the couplings is done. In the
RS case, we consider the interaction with the 5D(bulk) Higgs field and the
gauge field. The chiral property, localization, anomaly phenomena are examined.
We evaluate the bulk quantum effect using the method of the induced effective
action. The electric dipole moment term naturally appears. This is a new origin
of the CP-violation. In the 4D limit, the dual relation between KK model and RS
model appears.
|
[
{
"created": "Thu, 20 Jun 2002 08:44:11 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Sep 2002 03:59:22 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Ichinose",
"Shoichi",
""
]
] |
The Kaluza-Klein theory and Randall-Sundrum theory are examined comparatively, with focus on the behavior of the five dimensional (Dirac) fermion in the dimensional reduction to four dimensions. They are properly treated using the Cartan formalism. In the KK case, the dual property between the electric and magnetic dipole moments is revealed in relation to the ratio of two massive parameters: the inverse of the radius of the extra-space circle and the 5D fermion mass. The order estimation of the couplings is done. In the RS case, we consider the interaction with the 5D(bulk) Higgs field and the gauge field. The chiral property, localization, anomaly phenomena are examined. We evaluate the bulk quantum effect using the method of the induced effective action. The electric dipole moment term naturally appears. This is a new origin of the CP-violation. In the 4D limit, the dual relation between KK model and RS model appears.
| 12.638431
| 13.06835
| 11.340055
| 11.636047
| 11.658624
| 12.344579
| 11.459356
| 11.936193
| 11.208158
| 12.0815
| 12.408377
| 11.95303
| 12.189702
| 12.066989
| 11.837633
| 12.005981
| 11.974073
| 11.996184
| 12.023323
| 12.32774
| 12.142385
|
hep-th/9509176
|
Amihay Hanany
|
Amihay Hanany
|
On the Quantum Moduli Space of N=2 Supersymmetric Gauge Theories
|
19 pages
|
Nucl.Phys. B466 (1996) 85-100
|
10.1016/0550-3213(96)00077-6
|
IASSNS-HEP-95/76
|
hep-th
| null |
Families of hyper-elliptic curves which describe the quantum moduli spaces of
vacua of $N=2$ supersymmetric $SO(N_c)$ gauge theories coupled to $N_f$ flavors
of quarks in the vector representation are constructed. The quantum moduli
spaces for $2N_f < N_c-1$ are determined completely by imposing $R$-symmetry,
instanton corrections and the proper classical singularity structure. These
curves are verified by residue calculations. The quantum moduli spaces for
$2N_f\geq N_c-1$ theories are parameterized and their general structure is
worked out using residue calculations. The exact metrics on the quantum moduli
spaces as well as the exact spectrum of stable massive states are derived. The
results presented here together with recent results of Martinec and Warner
provide a natural conjecture for the form of the curves for the other gauge
groups.
|
[
{
"created": "Mon, 2 Oct 1995 04:20:05 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hanany",
"Amihay",
""
]
] |
Families of hyper-elliptic curves which describe the quantum moduli spaces of vacua of $N=2$ supersymmetric $SO(N_c)$ gauge theories coupled to $N_f$ flavors of quarks in the vector representation are constructed. The quantum moduli spaces for $2N_f < N_c-1$ are determined completely by imposing $R$-symmetry, instanton corrections and the proper classical singularity structure. These curves are verified by residue calculations. The quantum moduli spaces for $2N_f\geq N_c-1$ theories are parameterized and their general structure is worked out using residue calculations. The exact metrics on the quantum moduli spaces as well as the exact spectrum of stable massive states are derived. The results presented here together with recent results of Martinec and Warner provide a natural conjecture for the form of the curves for the other gauge groups.
| 7.595226
| 5.00074
| 7.749778
| 5.757282
| 5.582372
| 5.624429
| 5.462777
| 5.643418
| 5.49792
| 8.204006
| 6.079254
| 5.945143
| 7.044186
| 6.359799
| 6.336192
| 5.95269
| 6.222663
| 6.198324
| 6.464948
| 6.899423
| 6.328941
|
hep-th/9710089
|
Gagik Ter-Gazarian
|
G.T.Ter-Kazarian (Byurakan Observatory)
|
Operator Manifold Approach to Geometry and Particle Physics
|
LaTex, 42 pages, email gago@bao.sci.am
|
Astrophys.Space Sci. 241 (1996) 161-210
|
10.1007/BF00645224
|
BAO/96/03
|
hep-th
| null |
The question that guides our discussion is how did the geometry and particles
come into being. The present theory reveals primordial deeper structures
underlying fundamental concepts of contemporary physics. We begin with a
drastic revision of a role of local internal symmetries in physical concept of
curved geometry. A standard gauge principle of local internal symmetries is
generalized. The gravitation gauge group is proposed, which is generated by
hidden local internal symmetries. Last two parts address to the question of
physical origin of geometry and basic concepts of particle physics such as the
fields of quarks with the spins and various quantum numbers, internal
symmetries and so forth; also four basic principles of Relativity, Quantum,
Gauge and Color Confinement, which are, as it was proven, all derivative and
come into being simultaneously. The most promising aspect of our approach so
far is the fact that many of the important anticipated properties, basic
concepts and principles of particle physics are appeared quite naturally in the
framework of suggested theory.
|
[
{
"created": "Fri, 10 Oct 1997 12:28:57 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Ter-Kazarian",
"G. T.",
"",
"Byurakan Observatory"
]
] |
The question that guides our discussion is how did the geometry and particles come into being. The present theory reveals primordial deeper structures underlying fundamental concepts of contemporary physics. We begin with a drastic revision of a role of local internal symmetries in physical concept of curved geometry. A standard gauge principle of local internal symmetries is generalized. The gravitation gauge group is proposed, which is generated by hidden local internal symmetries. Last two parts address to the question of physical origin of geometry and basic concepts of particle physics such as the fields of quarks with the spins and various quantum numbers, internal symmetries and so forth; also four basic principles of Relativity, Quantum, Gauge and Color Confinement, which are, as it was proven, all derivative and come into being simultaneously. The most promising aspect of our approach so far is the fact that many of the important anticipated properties, basic concepts and principles of particle physics are appeared quite naturally in the framework of suggested theory.
| 24.695944
| 19.988503
| 24.830847
| 20.151039
| 20.418207
| 20.757477
| 18.583158
| 19.512007
| 20.440657
| 23.966314
| 21.602974
| 23.081274
| 23.438419
| 22.464592
| 23.093769
| 22.455547
| 23.237442
| 22.992193
| 22.946138
| 23.77664
| 22.985676
|
0908.1110
|
Gianguido Dall'Agata
|
Anna Ceresole, Gianguido Dall'Agata, Sergio Ferrara and Armen Yeranyan
|
First order flows for N=2 extremal black holes and duality invariants
|
PDFLaTeX, 19 pages, 4 figures. v2: References added, final version
|
Nucl.Phys.B824:239-253,2010
|
10.1016/j.nuclphysb.2009.09.003
|
CERN-PH-TH/2009-148, DFPD-09/TH/15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive explicitly the superpotential W for the non-BPS branch of N=2
extremal black holes in terms of duality invariants of special geometry.
Although this is done for a one-modulus case (the t^3 model), the example gives
$Z \neq 0$ black holes and captures the basic distinction from previous
attempts on the quadratic series (vanishing C tensor) and from the other Z=0
cases. The superpotential W turns out to be a non-polynomial expression
(containing radicals) of the basic duality invariant quantities. These are the
same which enter in the quartic invariant I_4 for N=2 theories based on
symmetric spaces. Using the flow equations generated by W, we also provide the
analytic general solution for the warp factor and for the scalar field
supporting the non-BPS black holes.
|
[
{
"created": "Mon, 10 Aug 2009 12:48:53 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2009 13:10:00 GMT",
"version": "v2"
}
] |
2009-10-29
|
[
[
"Ceresole",
"Anna",
""
],
[
"Dall'Agata",
"Gianguido",
""
],
[
"Ferrara",
"Sergio",
""
],
[
"Yeranyan",
"Armen",
""
]
] |
We derive explicitly the superpotential W for the non-BPS branch of N=2 extremal black holes in terms of duality invariants of special geometry. Although this is done for a one-modulus case (the t^3 model), the example gives $Z \neq 0$ black holes and captures the basic distinction from previous attempts on the quadratic series (vanishing C tensor) and from the other Z=0 cases. The superpotential W turns out to be a non-polynomial expression (containing radicals) of the basic duality invariant quantities. These are the same which enter in the quartic invariant I_4 for N=2 theories based on symmetric spaces. Using the flow equations generated by W, we also provide the analytic general solution for the warp factor and for the scalar field supporting the non-BPS black holes.
| 15.786517
| 16.308331
| 18.272886
| 15.347941
| 15.393361
| 16.821833
| 15.355676
| 16.007696
| 15.843464
| 17.879398
| 15.000488
| 14.919847
| 15.777359
| 14.786391
| 14.611258
| 14.158326
| 14.971087
| 14.438725
| 14.102553
| 15.593844
| 14.195977
|
1804.02626
|
Inori Ueba
|
Yukihiro Fujimoto, Kouhei Hasegawa, Kenji Nishiwaki, Makoto Sakamoto,
Kentaro Tatsumi, Inori Ueba
|
Extended supersymmetry in Dirac action with extra dimensions
|
11 pages, 3 figures
| null | null |
KIAS-P18035, KOBE-TH-18-01
|
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a new realization of extended quantum-mechanical
supersymmetry. We first show that an $\mathcal{N}=2$ quantum-mechanical
supersymmetry is hidden in the four-dimensional (4D) spectrum of the
Kaluza-Klein decomposition for the higher dimensional Dirac field, that is,
Kaluza-Klein mode functions of 4D right-handed spinors and 4D left-handed ones
form $\mathcal{N}=2$ supermultiplets. In addition to $\mathcal{N}=2$
supersymmetry, we discover that an $\mathcal{N}$-extended supersymmetry
($\mathcal{N} = d+2\ (d+1)$ for $d=$ even (odd) extra dimensions) is further
hidden in the 4D spectrum. The extended symmetry can explain additional
degeneracy of the spectrum. Furthermore, we show that a superpotential can be
introduced into the $\mathcal{N}$-extended supercharges and clarify the
condition to preserve the supersymmetry. The partial breaking of the
supersymmetry is also demonstrated.
|
[
{
"created": "Sun, 8 Apr 2018 03:59:04 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Sep 2018 02:55:12 GMT",
"version": "v2"
}
] |
2018-09-26
|
[
[
"Fujimoto",
"Yukihiro",
""
],
[
"Hasegawa",
"Kouhei",
""
],
[
"Nishiwaki",
"Kenji",
""
],
[
"Sakamoto",
"Makoto",
""
],
[
"Tatsumi",
"Kentaro",
""
],
[
"Ueba",
"Inori",
""
]
] |
We investigate a new realization of extended quantum-mechanical supersymmetry. We first show that an $\mathcal{N}=2$ quantum-mechanical supersymmetry is hidden in the four-dimensional (4D) spectrum of the Kaluza-Klein decomposition for the higher dimensional Dirac field, that is, Kaluza-Klein mode functions of 4D right-handed spinors and 4D left-handed ones form $\mathcal{N}=2$ supermultiplets. In addition to $\mathcal{N}=2$ supersymmetry, we discover that an $\mathcal{N}$-extended supersymmetry ($\mathcal{N} = d+2\ (d+1)$ for $d=$ even (odd) extra dimensions) is further hidden in the 4D spectrum. The extended symmetry can explain additional degeneracy of the spectrum. Furthermore, we show that a superpotential can be introduced into the $\mathcal{N}$-extended supercharges and clarify the condition to preserve the supersymmetry. The partial breaking of the supersymmetry is also demonstrated.
| 5.788757
| 5.530556
| 5.654082
| 5.628594
| 5.562075
| 5.399076
| 5.410483
| 5.268155
| 5.427456
| 6.198955
| 5.50288
| 5.443666
| 5.599272
| 5.465932
| 5.387749
| 5.426198
| 5.262706
| 5.468145
| 5.463502
| 5.624557
| 5.391186
|
2310.07960
|
Jianxin Lu
|
J. X. Lu
|
The open string pair production, its enhancement and the physics behind
|
10 pages, 1 table, version to appear in PLB
| null | null |
USTC-ICTS/PCFT-23-31
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Why adding a collinear magnetic field to the electric one on a D3 brane in a
system of two parallel separated D3 branes can enhance the open string pair
production? How is the open string pair production rate related to the QED ones
in the weak field limit? We answer these questions and report the somehow
expected but still remarkable relation between the weak field non-perturbative
stringy rate and the corresponding QED ones in this letter.
|
[
{
"created": "Thu, 12 Oct 2023 00:54:19 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 2023 12:56:13 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Dec 2023 01:38:29 GMT",
"version": "v3"
}
] |
2023-12-15
|
[
[
"Lu",
"J. X.",
""
]
] |
Why adding a collinear magnetic field to the electric one on a D3 brane in a system of two parallel separated D3 branes can enhance the open string pair production? How is the open string pair production rate related to the QED ones in the weak field limit? We answer these questions and report the somehow expected but still remarkable relation between the weak field non-perturbative stringy rate and the corresponding QED ones in this letter.
| 19.108925
| 14.345573
| 14.781686
| 13.358852
| 13.539678
| 13.649488
| 13.294065
| 12.957479
| 14.225905
| 15.413343
| 13.114016
| 13.912222
| 13.71803
| 13.415775
| 13.801185
| 13.84276
| 14.175512
| 13.756373
| 13.943436
| 14.15914
| 13.662079
|
hep-th/0606202
|
Joohan Lee
|
Soon-Tae Hong, Joohan Lee, Tae Hoon Lee, Phillial Oh
|
Isospin particle on $S^{2}$ with arbitrary number of supersymmetries
|
6 pages
|
Mod.Phys.Lett.A22:1481-1492,2007
|
10.1142/S0217732307023857
| null |
hep-th
| null |
We study the supersymmetric quantum mechanics of an isospin particle in the
background of spherically symmetric Yang-Mills gauge field. We show that on
$S^{2}$ the number of supersymmetries can be made arbitrarily large for a
specific choice of the spherically symmetric SU(2) gauge field. However, the
symmetry algebra containing the supercharges becomes nonlinear if the number of
fermions is greater than two. We present the exact energy spectra and
eigenfunctions, which can be written as the product of monopole harmonics and a
certain isospin state. We also find that the supersymmetry is spontaneously
broken if the number of supersymmetries is even.
|
[
{
"created": "Wed, 21 Jun 2006 04:45:45 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Dec 2006 04:56:37 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Hong",
"Soon-Tae",
""
],
[
"Lee",
"Joohan",
""
],
[
"Lee",
"Tae Hoon",
""
],
[
"Oh",
"Phillial",
""
]
] |
We study the supersymmetric quantum mechanics of an isospin particle in the background of spherically symmetric Yang-Mills gauge field. We show that on $S^{2}$ the number of supersymmetries can be made arbitrarily large for a specific choice of the spherically symmetric SU(2) gauge field. However, the symmetry algebra containing the supercharges becomes nonlinear if the number of fermions is greater than two. We present the exact energy spectra and eigenfunctions, which can be written as the product of monopole harmonics and a certain isospin state. We also find that the supersymmetry is spontaneously broken if the number of supersymmetries is even.
| 6.634525
| 6.156681
| 6.812877
| 5.779737
| 6.090433
| 5.965839
| 6.158483
| 5.933036
| 5.673903
| 7.400181
| 5.877678
| 5.971488
| 6.91542
| 6.095297
| 6.097387
| 6.139536
| 6.009887
| 6.213929
| 6.209374
| 6.565363
| 6.065294
|
hep-th/9906209
|
Maxim Grigoriev
|
M A Grigoriev (Lebedev Physics Institute)
|
Zero Locus Reduction of the BRST Differential
|
11 pages, LaTeX2e
| null | null | null |
hep-th
| null |
I point out an unexpected relation between the BV (Batalin-Vilkovisky) and
the BFV (Batalin-Fradkin-Vilkovisky) formulations of the same pure gauge
(topological) theory. The nonminimal sector in the BV formulation of the
topological theory allows one to construct the Poisson bracket and the BRST
charge on some Lagrangian submanifold of the BV configuration space; this
Lagrangian submanifold can be identified with the phase space of the BFV
formulation of the same theory in the minimal sector of ghost variables. The
BFV Poisson bracket is induced by a natural even Poisson bracket on the
stationary surface of the master action, while the BRST charge originates from
the BV gauge-fixed BRST transformation defined on a gauge-fixing surface. The
inverse construction allows one to arrive at the BV formulation of the
topological theory starting with the BFV formulation. This correspondence gives
an intriguing geometrical interpretation of the nonminimal variables and
clarifies the relation between the Hamiltonian and Lagrangian quantization of
gauge theories.
This is an extended version of the talk given at the QFTHEP-99 workshop in
Moscow, May 27 -June 2, 1999.
|
[
{
"created": "Mon, 28 Jun 1999 00:20:28 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Grigoriev",
"M A",
"",
"Lebedev Physics Institute"
]
] |
I point out an unexpected relation between the BV (Batalin-Vilkovisky) and the BFV (Batalin-Fradkin-Vilkovisky) formulations of the same pure gauge (topological) theory. The nonminimal sector in the BV formulation of the topological theory allows one to construct the Poisson bracket and the BRST charge on some Lagrangian submanifold of the BV configuration space; this Lagrangian submanifold can be identified with the phase space of the BFV formulation of the same theory in the minimal sector of ghost variables. The BFV Poisson bracket is induced by a natural even Poisson bracket on the stationary surface of the master action, while the BRST charge originates from the BV gauge-fixed BRST transformation defined on a gauge-fixing surface. The inverse construction allows one to arrive at the BV formulation of the topological theory starting with the BFV formulation. This correspondence gives an intriguing geometrical interpretation of the nonminimal variables and clarifies the relation between the Hamiltonian and Lagrangian quantization of gauge theories. This is an extended version of the talk given at the QFTHEP-99 workshop in Moscow, May 27 -June 2, 1999.
| 6.264648
| 6.265832
| 6.526883
| 6.006641
| 6.443771
| 5.972216
| 6.026741
| 6.052754
| 6.071145
| 7.003395
| 5.938829
| 5.886218
| 5.929366
| 5.785009
| 6.044812
| 5.989783
| 5.863985
| 5.826277
| 5.942712
| 6.022277
| 5.846028
|
1106.3764
|
Rudra Prakash Malik
|
R. P. Malik (AS-ICTP and BHU)
|
Superfield Approach to Nilpotent Symmetries of the Freedman-Townsend
Model: Novel Features
|
LaTeX file, 20 pages, To appear in IJMPA
|
Int. J. Mod. Phys. A 27: 1250123 (2012)
|
10.1142/S0217751X12501230
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform the Becchi-Rouet-Stora-Tyutin (BRST) analysis of the
Freedman-Townsend (FT) model of topologically massive non-Abelian theory by
exploiting its (1-form) Yang-Mills (YM) gauge transformations to show the
existence of some novel features that are totally different from the results
obtained in such a kind of consideration carried out for the dynamical
non-Abelian 2-form theory. We tap here the potential and power of the
"augmented" version of Bonora-Tonin's superfield approach to BRST formalism to
derive the full set of off-shell nilpotent and absolutely anticommuting
(anti-)BRST symmetry transformations where, in addition to the horizontality
condition (HC), we are theoretically compelled to exploit the appropriate
gauge-invariant restrictions (GIRs) on the (super)fields for the derivation of
the appropriate symmetry transformations for all the relevant fields. We
compare our key results with that of the other such attempt for the discussion
of the present model within the framework of BRST formalism.
|
[
{
"created": "Sun, 19 Jun 2011 17:19:20 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2012 11:19:34 GMT",
"version": "v2"
}
] |
2012-08-03
|
[
[
"Malik",
"R. P.",
"",
"AS-ICTP and BHU"
]
] |
We perform the Becchi-Rouet-Stora-Tyutin (BRST) analysis of the Freedman-Townsend (FT) model of topologically massive non-Abelian theory by exploiting its (1-form) Yang-Mills (YM) gauge transformations to show the existence of some novel features that are totally different from the results obtained in such a kind of consideration carried out for the dynamical non-Abelian 2-form theory. We tap here the potential and power of the "augmented" version of Bonora-Tonin's superfield approach to BRST formalism to derive the full set of off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations where, in addition to the horizontality condition (HC), we are theoretically compelled to exploit the appropriate gauge-invariant restrictions (GIRs) on the (super)fields for the derivation of the appropriate symmetry transformations for all the relevant fields. We compare our key results with that of the other such attempt for the discussion of the present model within the framework of BRST formalism.
| 8.545926
| 6.212382
| 10.801587
| 6.623073
| 7.148901
| 7.057499
| 7.028796
| 6.2706
| 6.385241
| 10.118323
| 6.397991
| 7.665346
| 8.765719
| 7.656386
| 7.846536
| 7.633139
| 7.487144
| 7.635526
| 7.889843
| 8.651842
| 7.762376
|
0903.4971
|
Shoichi Ichinose
|
S. Ichinose
|
Casimir Energy of AdS5 Electromagnetism and Cosmological Constant
Problem
|
9pages, 6 figures, PAQFT08 Conference Proceedings, Typographical
errors are corrected
|
Int.J.Mod.Phys.A24:3620-3629,2009
|
10.1142/S0217751X09047272
|
US-09-01
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Casimir energy is calculated for the 5D electromagnetism in the warped
geometry. It is compared with the flat case(arXiv:0801.3064). A new
regularization, called sphere lattice regularization, is taken. It is based on
the minimal area principle and is a direct realization of the geometrical
approach to the renormalization group. The properly regularized form of Casimir
energy, is expressed in a closed form. We numerically evaluate $\La$(4D
UV-cutoff), $\om$(5D bulk curvature, warp parameter) and $T$(extra space IR
parameter) dependence of the Casimir energy. The warp parameter $\om$ suffers
from the renormalization effect. We examine the meaning of the weight function
and finally reach a new definition of the Casimir energy where the 4D
momenta(or coordinates) are quantized with the extra coordinate as the
Euclidean time. We comment on the cosmological term at the end.
|
[
{
"created": "Sat, 28 Mar 2009 15:15:22 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Apr 2009 05:29:08 GMT",
"version": "v2"
}
] |
2009-08-20
|
[
[
"Ichinose",
"S.",
""
]
] |
Casimir energy is calculated for the 5D electromagnetism in the warped geometry. It is compared with the flat case(arXiv:0801.3064). A new regularization, called sphere lattice regularization, is taken. It is based on the minimal area principle and is a direct realization of the geometrical approach to the renormalization group. The properly regularized form of Casimir energy, is expressed in a closed form. We numerically evaluate $\La$(4D UV-cutoff), $\om$(5D bulk curvature, warp parameter) and $T$(extra space IR parameter) dependence of the Casimir energy. The warp parameter $\om$ suffers from the renormalization effect. We examine the meaning of the weight function and finally reach a new definition of the Casimir energy where the 4D momenta(or coordinates) are quantized with the extra coordinate as the Euclidean time. We comment on the cosmological term at the end.
| 17.361265
| 6.543486
| 16.719011
| 10.746073
| 8.144884
| 8.058828
| 7.868849
| 8.814266
| 10.020953
| 18.787199
| 10.867436
| 13.674175
| 15.611521
| 14.20435
| 13.876677
| 13.735723
| 13.464202
| 13.491835
| 14.544271
| 16.596537
| 14.434212
|
1003.6049
|
Jean Alexandre
|
J. Alexandre and D. Tanner
|
Quantization leading to a natural flattening of the axion potential
| null |
Phys.Rev.D82:125035,2010
|
10.1103/PhysRevD.82.125035
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from the general cosine form for the axion effective potential, we
quantize the axion and show that the result is described by a naturally flat
potential, if interactions with other particles are not considered. This
feature therefore restores the would-be Goldstone-boson nature of the axion,
and we calculate the corresponding vacuum energy density, which does not need
to be too large by orders of magnitude compared to Dark Energy.
|
[
{
"created": "Wed, 31 Mar 2010 13:36:03 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Dec 2010 17:03:50 GMT",
"version": "v2"
}
] |
2011-01-20
|
[
[
"Alexandre",
"J.",
""
],
[
"Tanner",
"D.",
""
]
] |
Starting from the general cosine form for the axion effective potential, we quantize the axion and show that the result is described by a naturally flat potential, if interactions with other particles are not considered. This feature therefore restores the would-be Goldstone-boson nature of the axion, and we calculate the corresponding vacuum energy density, which does not need to be too large by orders of magnitude compared to Dark Energy.
| 17.658083
| 17.341545
| 15.954906
| 15.451933
| 16.369911
| 17.033943
| 18.033146
| 15.974222
| 15.233648
| 16.215017
| 15.687013
| 14.973095
| 14.306796
| 14.520212
| 15.376236
| 15.186828
| 15.024744
| 14.658175
| 14.754071
| 14.224569
| 14.922699
|
hep-th/0112240
|
Tzihong Chiueh
|
Tzihong Chiueh
|
Dynamics of Multi-Component, Multi-Field Quintessence
|
29 pages. submitted to PRD
|
Phys.Rev. D65 (2002) 123502
|
10.1103/PhysRevD.65.123502
| null |
hep-th astro-ph gr-qc
| null |
Dynamics of the multi-component, multi-field quintessence and gravity is
formulated as relativistic N-particle dynamics, embedded in a static viscus
flat space and under the forces given by an interacting Lorentz scalar
potential via exchange of field bosons. The Ratra-Peebles power-law potential
of effective single-field quintessence can be derived from this microscopic
perspective. In certain situations, the effective dynamics can be made
identical to that of the single complex quintessence, except for that the
overall U(1) symmetry is not manifestly broken. The present formulation
provides a convenient gauge for analyzing the superhorizon perturbations and
possibly for quantization of superhorizon fields and gravity.
|
[
{
"created": "Thu, 27 Dec 2001 13:19:22 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Chiueh",
"Tzihong",
""
]
] |
Dynamics of the multi-component, multi-field quintessence and gravity is formulated as relativistic N-particle dynamics, embedded in a static viscus flat space and under the forces given by an interacting Lorentz scalar potential via exchange of field bosons. The Ratra-Peebles power-law potential of effective single-field quintessence can be derived from this microscopic perspective. In certain situations, the effective dynamics can be made identical to that of the single complex quintessence, except for that the overall U(1) symmetry is not manifestly broken. The present formulation provides a convenient gauge for analyzing the superhorizon perturbations and possibly for quantization of superhorizon fields and gravity.
| 22.058111
| 24.074715
| 18.977215
| 19.784023
| 21.38802
| 25.30467
| 23.039776
| 21.267151
| 20.811527
| 21.348013
| 22.196758
| 20.953156
| 19.725771
| 18.893263
| 20.543642
| 19.563982
| 19.867287
| 20.424484
| 19.922499
| 19.832441
| 19.514645
|
1211.4843
|
Ofer Aharony
|
Ofer Aharony, Simone Giombi, Guy Gur-Ari, Juan Maldacena and Ran
Yacoby
|
The Thermal Free Energy in Large N Chern-Simons-Matter Theories
|
41 pages, 8 figures. v2: minor corrections, added references. v3:
added pdfoutput
| null |
10.1007/JHEP03(2013)121
|
WIS/18/12-NOV-DPPA
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the thermal free energy in large N U(N) Chern-Simons-matter
theories with matter fields (scalars and/or fermions) in the fundamental
representation, in the large temperature limit. We note that in these theories
the eigenvalue distribution of the holonomy of the gauge field along the
thermal circle does not localize even at very high temperatures, and this
affects the computation significantly. We verify that our results are
consistent with the conjectured dualities between Chern-Simons-matter theories
with scalar fields and with fermion fields, as well as with the strong-weak
coupling duality of the N=2 supersymmetric Chern-Simons-matter theory.
|
[
{
"created": "Tue, 20 Nov 2012 19:43:37 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Nov 2012 13:38:54 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Jan 2013 02:07:24 GMT",
"version": "v3"
}
] |
2015-06-12
|
[
[
"Aharony",
"Ofer",
""
],
[
"Giombi",
"Simone",
""
],
[
"Gur-Ari",
"Guy",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Yacoby",
"Ran",
""
]
] |
We compute the thermal free energy in large N U(N) Chern-Simons-matter theories with matter fields (scalars and/or fermions) in the fundamental representation, in the large temperature limit. We note that in these theories the eigenvalue distribution of the holonomy of the gauge field along the thermal circle does not localize even at very high temperatures, and this affects the computation significantly. We verify that our results are consistent with the conjectured dualities between Chern-Simons-matter theories with scalar fields and with fermion fields, as well as with the strong-weak coupling duality of the N=2 supersymmetric Chern-Simons-matter theory.
| 5.376318
| 4.940421
| 6.000608
| 5.165044
| 5.398464
| 4.986126
| 5.165918
| 5.073344
| 5.446002
| 6.283814
| 4.994849
| 4.935705
| 5.715907
| 5.278187
| 5.525318
| 5.243858
| 5.213285
| 5.265134
| 5.434846
| 5.633808
| 5.121863
|
1703.04740
|
Adiel Meyer
|
Adiel Meyer, Yaron Oz, Avia Raviv-Moshe
|
On Non-Relativistic Supersymmetry and its Spontaneous Breaking
| null | null |
10.1007/JHEP06(2017)128
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study non-relativistic supersymmetric field theories in diverse
dimensions. The theories consist of scalars and fermions and possess two, four
or eight real supercharges. We analyze their spontaneous supersymmetry breaking
structure and calculate the gapless spectrum. We calculate the perturbative
quantum corrections at the supersymmetric vacua and show that while
supersymmetry is preserved, scale invariance is broken and the theories are IR
free.
|
[
{
"created": "Tue, 14 Mar 2017 21:43:40 GMT",
"version": "v1"
}
] |
2017-08-02
|
[
[
"Meyer",
"Adiel",
""
],
[
"Oz",
"Yaron",
""
],
[
"Raviv-Moshe",
"Avia",
""
]
] |
We study non-relativistic supersymmetric field theories in diverse dimensions. The theories consist of scalars and fermions and possess two, four or eight real supercharges. We analyze their spontaneous supersymmetry breaking structure and calculate the gapless spectrum. We calculate the perturbative quantum corrections at the supersymmetric vacua and show that while supersymmetry is preserved, scale invariance is broken and the theories are IR free.
| 9.042586
| 8.700189
| 9.853134
| 8.431539
| 8.869476
| 8.987109
| 9.682773
| 8.294807
| 7.801437
| 9.939483
| 8.333648
| 8.491574
| 9.281454
| 8.441577
| 8.514387
| 8.60417
| 8.559259
| 8.699956
| 8.308359
| 9.168171
| 8.358836
|
hep-th/9910174
|
Elias Kiritsis
|
A. Kehagias (NTU of Athens), E. Kiritsis (U. of Crete)
|
Mirage Cosmology
|
JHEP LateX, 20 pages, no figures;v2 references added and a few minor
changes; (v3) Corrected an inconsequential error in eq. 6.2, 6.3. We thank D.
Kutasov for bringing this to our attention (v4) Corrected inconsequential
errors in (4.4)-(4.7) and (5.11). We thank A. Psinas for bringing them to our
attention
|
JHEP 9911 (1999) 022
|
10.1088/1126-6708/1999/11/022
|
NTUA-99/74
|
hep-th gr-qc hep-ph
| null |
A brane universe moving in a curved higher dimensional bulk space is
considered. The motion induces a cosmological evolution on the universe brane
that is indistiguishable from a similar one induced by matter density on the
brane. The phenomenological implications of such an idea are discussed. Various
mirage energy densities are found, corresponding to dilute matter driving the
cosmological expansion, many having superluminal properties $|w|>1$ or
violating the positive energy condition. It is shown that energy density due to
the world-volume fields is nicely incorporated into the picture. It is also
pointed out that the initial singularity problem is naturally resolved in this
context.
|
[
{
"created": "Thu, 21 Oct 1999 22:17:39 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Nov 1999 09:44:30 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Aug 2004 23:20:37 GMT",
"version": "v3"
},
{
"created": "Fri, 17 Jun 2005 21:18:17 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Kehagias",
"A.",
"",
"NTU of Athens"
],
[
"Kiritsis",
"E.",
"",
"U. of Crete"
]
] |
A brane universe moving in a curved higher dimensional bulk space is considered. The motion induces a cosmological evolution on the universe brane that is indistiguishable from a similar one induced by matter density on the brane. The phenomenological implications of such an idea are discussed. Various mirage energy densities are found, corresponding to dilute matter driving the cosmological expansion, many having superluminal properties $|w|>1$ or violating the positive energy condition. It is shown that energy density due to the world-volume fields is nicely incorporated into the picture. It is also pointed out that the initial singularity problem is naturally resolved in this context.
| 15.161005
| 13.819466
| 15.519431
| 13.211786
| 14.839947
| 13.80914
| 13.791994
| 14.047361
| 13.508202
| 15.859965
| 13.129537
| 13.530803
| 14.058918
| 13.127721
| 13.391657
| 14.00729
| 13.464809
| 13.522099
| 13.574809
| 13.997645
| 13.091602
|
hep-th/9608067
|
Martin Markl
|
Martin Markl
|
A Compactification of the Real Configuration Space as an Operadic
Completion
|
LaTeX, 20 pages
| null | null | null |
hep-th
| null |
S. Axelrod and I.M. Singer constructed a compactification of the
configuration space of distinct points in a Riemannian manifold V. A similar
compactification for the moduli space of configurations of distinct points in
the plane (mod the affine group action) was considered by E. Getzler and J.D.S.
Jones. They observed that this compactification carries a natural structure of
an operad. In the present note we show that (non-compactified) configuration
spaces form a partial operad (or a partial module over a partial operad) and
that the compactification can be described as an operadic (or modular)
completion. This approach immediately gives the operad (or module) structure on
the compactification. We also discuss the spectral sequence of the
stratification and identify the second term of this spectral sequence to the
bar resolution of an operadic module. Our results generalize the work of
Getzler, Kimura, Jones, Stasheff, Voronov and others to the case of
configurations in a general Riemannian manifold.
|
[
{
"created": "Mon, 12 Aug 1996 10:11:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Markl",
"Martin",
""
]
] |
S. Axelrod and I.M. Singer constructed a compactification of the configuration space of distinct points in a Riemannian manifold V. A similar compactification for the moduli space of configurations of distinct points in the plane (mod the affine group action) was considered by E. Getzler and J.D.S. Jones. They observed that this compactification carries a natural structure of an operad. In the present note we show that (non-compactified) configuration spaces form a partial operad (or a partial module over a partial operad) and that the compactification can be described as an operadic (or modular) completion. This approach immediately gives the operad (or module) structure on the compactification. We also discuss the spectral sequence of the stratification and identify the second term of this spectral sequence to the bar resolution of an operadic module. Our results generalize the work of Getzler, Kimura, Jones, Stasheff, Voronov and others to the case of configurations in a general Riemannian manifold.
| 6.669551
| 7.805342
| 7.835155
| 7.53497
| 7.681871
| 7.92886
| 7.542183
| 7.730374
| 7.632321
| 8.373037
| 7.329585
| 6.116939
| 6.977569
| 6.462783
| 6.195611
| 6.117736
| 6.466838
| 6.504992
| 6.231032
| 6.816305
| 6.430887
|
1312.0176
|
Hosein Mohammadzadeh
|
Zahra Ebadi, Behrouz Mirza and Hosein Mohammadzadeh
|
Infinite Statistics Condensate as a Model of Dark Matter
|
1 figure
|
JCAP 11(2013)057
|
10.1088/1475-7516/2013/11/057
| null |
hep-th cond-mat.quant-gas
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In some models, dark matter is considered as a condensate bosonic system. In
this paper, we prove that condensation is also possible for particles that obey
infinite statistics and derive the critical condensation temperature. We argue
that a condensed state of a gas of very weakly interacting particles obeying
infinite statistics could be considered as a consistent model of dark matter.
|
[
{
"created": "Sun, 1 Dec 2013 03:16:56 GMT",
"version": "v1"
}
] |
2013-12-03
|
[
[
"Ebadi",
"Zahra",
""
],
[
"Mirza",
"Behrouz",
""
],
[
"Mohammadzadeh",
"Hosein",
""
]
] |
In some models, dark matter is considered as a condensate bosonic system. In this paper, we prove that condensation is also possible for particles that obey infinite statistics and derive the critical condensation temperature. We argue that a condensed state of a gas of very weakly interacting particles obeying infinite statistics could be considered as a consistent model of dark matter.
| 12.389366
| 10.445452
| 9.823897
| 10.151226
| 10.661185
| 10.893881
| 10.426043
| 10.949801
| 10.824291
| 11.99361
| 11.463745
| 10.935705
| 11.430642
| 11.094207
| 11.211946
| 10.955823
| 11.673816
| 11.417634
| 10.925502
| 11.159696
| 11.281048
|
0712.0132
|
Pedro J. Silva
|
Pedro J. Silva
|
On Uniqueness of supersymmetric Black holes in AdS(5)
|
16 pages, typos corrected and references added
|
Class.Quant.Grav.25:195016,2008
|
10.1088/0264-9381/25/19/195016
| null |
hep-th gr-qc
| null |
We study the possibility of having Black hole of spherical and ring horizon
topology with five independent charges in the $U(1)^3$-model of 5D gauge
supergravity. To study these possibilities we consider not only the known
result obtained by local supersymmetry analysis but include the input coming
from non-local properties of the solutions, like the attractor mechanism, the
entropy function of Sen, the Euclidean formulation and general properties of
the uplift to ten dimension. For the spherical case, we found that there is no
room for more general Black holes than the ones already describe in
hep-th/0601156. On the other hand, if a solution of ring horizon topology
exists, we conclude that it must be labeled by three independent parameters
only, since it has to satisfy two independent constraints that we explicitly
find in terms of its chemical potentials. At the end of the article, based on
all the local and non-local information, we put forward a conjecture on the
constraints that characterize general Black holes dual to ${\cal N}=4$ SYM.
|
[
{
"created": "Sun, 2 Dec 2007 10:04:28 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Dec 2007 16:15:47 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Silva",
"Pedro J.",
""
]
] |
We study the possibility of having Black hole of spherical and ring horizon topology with five independent charges in the $U(1)^3$-model of 5D gauge supergravity. To study these possibilities we consider not only the known result obtained by local supersymmetry analysis but include the input coming from non-local properties of the solutions, like the attractor mechanism, the entropy function of Sen, the Euclidean formulation and general properties of the uplift to ten dimension. For the spherical case, we found that there is no room for more general Black holes than the ones already describe in hep-th/0601156. On the other hand, if a solution of ring horizon topology exists, we conclude that it must be labeled by three independent parameters only, since it has to satisfy two independent constraints that we explicitly find in terms of its chemical potentials. At the end of the article, based on all the local and non-local information, we put forward a conjecture on the constraints that characterize general Black holes dual to ${\cal N}=4$ SYM.
| 13.220085
| 13.888721
| 14.052152
| 12.745493
| 13.715976
| 13.296949
| 13.535846
| 13.007915
| 12.576097
| 14.084537
| 12.820827
| 12.58385
| 13.235053
| 12.625962
| 12.748313
| 12.867156
| 12.538702
| 12.340377
| 12.437983
| 13.884043
| 12.570829
|
1105.5347
|
Paul de Medeiros
|
Paul de Medeiros
|
On the structure of quadrilateral brane tilings
|
57 pages, 22 figures
|
JHEP 1201:131,2012
|
10.1007/JHEP01(2012)131
|
EMPG-11-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Brane tilings provide the most general framework in string and M-theory for
matching toric Calabi-Yau singularities probed by branes with superconformal
fixed points of quiver gauge theories. The brane tiling data consists of a
bipartite tiling of the torus which encodes both the classical superpotential
and gauge-matter couplings for the quiver gauge theory. We consider the class
of tilings which contain only tiles bounded by exactly four edges and present a
method for generating any tiling within this class by iterating combinations of
certain graph-theoretic moves. In the context of D3-branes in IIB string
theory, we consider the effect of these generating moves within the
corresponding class of supersymmetric quiver gauge theories in four dimensions.
Of particular interest are their effect on the superpotential, the vacuum
moduli space and the conditions necessary for the theory to reach a
superconformal fixed point in the infrared. We discuss the general structure of
physically admissible quadrilateral brane tilings and Seiberg duality in terms
of certain composite moves within this class.
|
[
{
"created": "Thu, 26 May 2011 16:54:24 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"de Medeiros",
"Paul",
""
]
] |
Brane tilings provide the most general framework in string and M-theory for matching toric Calabi-Yau singularities probed by branes with superconformal fixed points of quiver gauge theories. The brane tiling data consists of a bipartite tiling of the torus which encodes both the classical superpotential and gauge-matter couplings for the quiver gauge theory. We consider the class of tilings which contain only tiles bounded by exactly four edges and present a method for generating any tiling within this class by iterating combinations of certain graph-theoretic moves. In the context of D3-branes in IIB string theory, we consider the effect of these generating moves within the corresponding class of supersymmetric quiver gauge theories in four dimensions. Of particular interest are their effect on the superpotential, the vacuum moduli space and the conditions necessary for the theory to reach a superconformal fixed point in the infrared. We discuss the general structure of physically admissible quadrilateral brane tilings and Seiberg duality in terms of certain composite moves within this class.
| 8.008225
| 8.41149
| 9.021727
| 8.02928
| 8.285754
| 8.921379
| 7.847075
| 8.359252
| 7.594397
| 9.919526
| 7.659503
| 7.767704
| 8.181155
| 7.769379
| 7.812398
| 7.722963
| 7.641431
| 7.671783
| 7.878122
| 8.071639
| 7.868466
|
1306.5106
|
Michael Abbott
|
Michael C. Abbott (UCT)
|
The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical
Derivation
|
17 pages. v2 has new sections 3.2 and 3.3, fixes typos, adds
references
|
J.Phys. A46 (2013) 445401
|
10.1088/1751-8113/46/44/445401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This note calculates the Hernandez-Lopez phases for strings in AdS3 x S3 x S3
x S1 by semiclassical methods using the d(2,1;\alpha)^2 algebraic curve. By
working at general \alpha\ we include modes absent from previous semiclassical
calculations of this phase in AdS3 x S3 x T4, and in particular can study the
scattering of particles of different mass. By carefully re-deriving the
semiclassical formula we clarify some issues of antisymmetrisation, cutoffs and
surface terms which could safely be ignored in AdS5 x S5, and some issues about
the terms c_1,s which were absent there. As a result we see agreement with the
recently calculated all-loop dressing phase in the AdS3 x S3 x T4 case, and
exactly 1/2 this in the general case AdS3 x S3 x S3 x S1 for any \alpha\ and
any (light) polarisations.
|
[
{
"created": "Fri, 21 Jun 2013 11:35:43 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jul 2013 15:08:32 GMT",
"version": "v2"
}
] |
2013-11-12
|
[
[
"Abbott",
"Michael C.",
"",
"UCT"
]
] |
This note calculates the Hernandez-Lopez phases for strings in AdS3 x S3 x S3 x S1 by semiclassical methods using the d(2,1;\alpha)^2 algebraic curve. By working at general \alpha\ we include modes absent from previous semiclassical calculations of this phase in AdS3 x S3 x T4, and in particular can study the scattering of particles of different mass. By carefully re-deriving the semiclassical formula we clarify some issues of antisymmetrisation, cutoffs and surface terms which could safely be ignored in AdS5 x S5, and some issues about the terms c_1,s which were absent there. As a result we see agreement with the recently calculated all-loop dressing phase in the AdS3 x S3 x T4 case, and exactly 1/2 this in the general case AdS3 x S3 x S3 x S1 for any \alpha\ and any (light) polarisations.
| 14.200286
| 13.395061
| 15.529724
| 13.132617
| 13.036151
| 13.970579
| 12.73972
| 13.246989
| 12.453252
| 18.961683
| 12.508938
| 13.509547
| 14.355218
| 12.970211
| 13.070191
| 12.897546
| 12.592701
| 13.140959
| 12.759574
| 14.526649
| 13.229012
|
hep-th/0512262
|
Ishwaree Neupane
|
Ishwaree P Neupane and Benedict M N Carter
|
Towards inflation and dark energy cosmologies from modified Gauss-Bonnet
theory
|
35 pages, 21 eps figs; section 6 expanded improving explanations,
refs added, final in JCAP
|
JCAP0606:004,2006
|
10.1088/1475-7516/2006/06/004
| null |
hep-th astro-ph gr-qc
| null |
We consider a physically viable cosmological model that has a field dependent
Gauss-Bonnet coupling in its effective action, in addition to a standard scalar
field potential. The presence of such terms in the four dimensional effective
action gives rise to several novel effects, such as a four dimensional flat
Friedmann-Robertson-Walker universe undergoing a cosmic inflation at early
epoch, as well as a cosmic acceleration at late times. The model predicts,
during inflation, spectra of both density perturbations and gravitational waves
that may fall well within the experimental bounds. Furthermore, this model
provides a mechanism for reheating of the early universe, which is similar to a
model with some friction terms added to the equation of motion of the scalar
field, which can imitate energy transfer from the scalar field to matter
|
[
{
"created": "Wed, 21 Dec 2005 20:48:00 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 2006 07:12:38 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Neupane",
"Ishwaree P",
""
],
[
"Carter",
"Benedict M N",
""
]
] |
We consider a physically viable cosmological model that has a field dependent Gauss-Bonnet coupling in its effective action, in addition to a standard scalar field potential. The presence of such terms in the four dimensional effective action gives rise to several novel effects, such as a four dimensional flat Friedmann-Robertson-Walker universe undergoing a cosmic inflation at early epoch, as well as a cosmic acceleration at late times. The model predicts, during inflation, spectra of both density perturbations and gravitational waves that may fall well within the experimental bounds. Furthermore, this model provides a mechanism for reheating of the early universe, which is similar to a model with some friction terms added to the equation of motion of the scalar field, which can imitate energy transfer from the scalar field to matter
| 9.475384
| 9.652699
| 9.082034
| 8.915519
| 8.858475
| 8.893805
| 9.235129
| 8.955028
| 9.500193
| 9.123192
| 9.403751
| 8.857555
| 8.866493
| 8.736449
| 8.879
| 9.05654
| 8.760528
| 8.874504
| 8.773719
| 9.214916
| 9.054456
|
hep-th/0203112
|
Nikita Nekrasov
|
Nikita A. Nekrasov
|
Milne Universe, Tachyons, and Quantum Group
|
harvmac, 14pp
|
Surveys High Energ.Phys. 17 (2002) 115-124
|
10.1080/0142241021000054176
|
IHES-P/02/13, ITEP-TH-14/02
|
hep-th
| null |
We analyze the spectrum of the bosonic and superstring on the orbifold of the
space-time by a boost, leading to the cosmological singularity. We show that
the modular invariance leads to the spectrum where the twisted sector tachyon,
together with all other twisted sector fields, present in the Euclidean version
of the orbifold, is absent. This makes impossible to resolve the singularity by
a marginal deformation of the worldsheet CFT. We also establish a relation
between the resolution of rotational orbifolds in Euclidean and Lorentzian
setups, and quantum groups. The analysis confirms the impossibility of
resolving the cosmological orbifold singularity.
|
[
{
"created": "Tue, 12 Mar 2002 18:34:47 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Nekrasov",
"Nikita A.",
""
]
] |
We analyze the spectrum of the bosonic and superstring on the orbifold of the space-time by a boost, leading to the cosmological singularity. We show that the modular invariance leads to the spectrum where the twisted sector tachyon, together with all other twisted sector fields, present in the Euclidean version of the orbifold, is absent. This makes impossible to resolve the singularity by a marginal deformation of the worldsheet CFT. We also establish a relation between the resolution of rotational orbifolds in Euclidean and Lorentzian setups, and quantum groups. The analysis confirms the impossibility of resolving the cosmological orbifold singularity.
| 10.936818
| 10.777211
| 12.970501
| 10.361716
| 10.830677
| 10.315447
| 9.545671
| 9.37492
| 9.638196
| 13.840974
| 9.407631
| 9.693153
| 11.804753
| 10.223351
| 9.814417
| 9.76413
| 9.419939
| 9.841993
| 9.96337
| 11.89133
| 10.198668
|
hep-th/0309133
|
Andrea Quadri
|
Andrea Quadri (Max-Planck-Institut fuer Physik, Muenchen)
|
Higher-order non-symmetric counterterms in pure Yang-Mills theory
|
Final version published in the journal
|
J.Phys.G30:677,2004
|
10.1088/0954-3899/30/5/009
|
MPI-PhT/2003-22, MPP-2003-71
|
hep-th
| null |
We analyze the restoration of the Slavnov-Taylor (ST) identities for pure
massless Yang-Mills theory in the Landau gauge within the BPHZL renormalization
scheme with IR regulator. We obtain the most general form of the action-like
part of the symmetric regularized action, obeying the relevant ST identities
and all other relevant symmetries of the model, to all orders in the loop
expansion. We also give a cohomological characterization of the fulfillment of
BPHZL IR power-counting criterion, guaranteeing the existence of the limit
where the IR regulator goes to zero. The technique analyzed in this paper is
needed in the study of the restoration of the ST identities for those models,
like the MSSM, where massless particles are present and no invariant
regularization scheme is known to preserve the full set of ST identities of the
theory.
|
[
{
"created": "Sat, 13 Sep 2003 09:54:46 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Mar 2004 11:51:06 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Quadri",
"Andrea",
"",
"Max-Planck-Institut fuer Physik, Muenchen"
]
] |
We analyze the restoration of the Slavnov-Taylor (ST) identities for pure massless Yang-Mills theory in the Landau gauge within the BPHZL renormalization scheme with IR regulator. We obtain the most general form of the action-like part of the symmetric regularized action, obeying the relevant ST identities and all other relevant symmetries of the model, to all orders in the loop expansion. We also give a cohomological characterization of the fulfillment of BPHZL IR power-counting criterion, guaranteeing the existence of the limit where the IR regulator goes to zero. The technique analyzed in this paper is needed in the study of the restoration of the ST identities for those models, like the MSSM, where massless particles are present and no invariant regularization scheme is known to preserve the full set of ST identities of the theory.
| 9.606001
| 8.500213
| 9.840343
| 9.01059
| 8.500057
| 9.220164
| 8.708248
| 8.56216
| 8.251571
| 10.964872
| 8.278624
| 8.891116
| 8.770553
| 8.481394
| 8.688961
| 8.705579
| 8.628194
| 8.966682
| 8.535492
| 8.931635
| 8.621654
|
hep-th/0305179
|
Alex Buchel
|
Alex Buchel and Leopoldo A. Pando Zayas
|
Hagedorn vs. Hawking-Page transition in string theory
|
19 pages, 4 figures; v2: refs added; v3: more refs added
|
Phys.Rev. D68 (2003) 066012
|
10.1103/PhysRevD.68.066012
|
MCTP-03-27
|
hep-th
| null |
We study the supergravity dual to the confinement/deconfinement phase
transition for the N=4 SU(N) SYM on R x S^3 with a chemical potential conjugate
to a U(1)\subset SO(6)_R charge. The appropriate supergravity system is a
single charge black hole in D=5 N=8 gauged supergravity. Application of the
gauge/string theory holographic renormalization approach leads to new
expressions for the black hole ADM mass and its generalized free energy. We
comment on the relation of this phase transition to the Hagedorn transition for
strings in the maximally supersymmetric plane wave background with null RR five
form field strength.
|
[
{
"created": "Tue, 20 May 2003 18:38:52 GMT",
"version": "v1"
},
{
"created": "Tue, 27 May 2003 18:38:55 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Jul 2003 16:32:16 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Buchel",
"Alex",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
]
] |
We study the supergravity dual to the confinement/deconfinement phase transition for the N=4 SU(N) SYM on R x S^3 with a chemical potential conjugate to a U(1)\subset SO(6)_R charge. The appropriate supergravity system is a single charge black hole in D=5 N=8 gauged supergravity. Application of the gauge/string theory holographic renormalization approach leads to new expressions for the black hole ADM mass and its generalized free energy. We comment on the relation of this phase transition to the Hagedorn transition for strings in the maximally supersymmetric plane wave background with null RR five form field strength.
| 7.409481
| 7.307304
| 9.349034
| 7.316918
| 8.371821
| 7.516943
| 7.69936
| 7.293772
| 7.237689
| 10.426865
| 6.882444
| 7.149549
| 7.607048
| 7.099613
| 7.206974
| 7.151491
| 7.086434
| 7.031602
| 6.988846
| 7.870546
| 6.940467
|
hep-th/9308123
|
Weidong Zhao
|
Weidong Zhao
|
Fixed Point Structure for 3 dimensional rigid string
|
10 pages
| null | null | null |
hep-th
| null |
We show that the usual fixed point for 3-d rigid string with topological term
appears to be a trivial one, consisting of two decoupled conformal field
theories. We further argue that by involving an additional term allowed by
symmetries and thus generated by RG, the theory appears to exhibit a new fixed
point with expected symmetriy. The new fixed point is studied in the weak- and
string coupling limit.
|
[
{
"created": "Thu, 26 Aug 1993 14:20:17 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Zhao",
"Weidong",
""
]
] |
We show that the usual fixed point for 3-d rigid string with topological term appears to be a trivial one, consisting of two decoupled conformal field theories. We further argue that by involving an additional term allowed by symmetries and thus generated by RG, the theory appears to exhibit a new fixed point with expected symmetriy. The new fixed point is studied in the weak- and string coupling limit.
| 26.459839
| 23.009354
| 24.017981
| 19.806007
| 21.438332
| 22.997698
| 21.247101
| 21.110825
| 21.577637
| 25.693316
| 20.595642
| 22.518265
| 22.325922
| 21.135426
| 21.582026
| 23.279657
| 21.038349
| 21.281328
| 21.667192
| 23.070944
| 21.58692
|
1102.3942
|
Sebastian Szybka
|
Sebastian J. Szybka
|
Stable causality of Black Saturns
|
10 pages
|
JHEP 1105:052,2011
|
10.1007/JHEP05(2011)052
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove that the Black Saturns are stably causal on the closure of the
domain of outer communications.
|
[
{
"created": "Sat, 19 Feb 2011 00:58:16 GMT",
"version": "v1"
}
] |
2011-05-13
|
[
[
"Szybka",
"Sebastian J.",
""
]
] |
We prove that the Black Saturns are stably causal on the closure of the domain of outer communications.
| 34.186562
| 23.768948
| 23.321438
| 20.23559
| 18.281475
| 21.137516
| 28.647095
| 16.30765
| 21.260454
| 28.496975
| 21.87166
| 24.19586
| 19.219603
| 20.410255
| 21.816698
| 20.995836
| 25.459627
| 20.828045
| 22.928621
| 24.018761
| 26.382679
|
hep-th/9709092
|
Kim
|
Dae Kwan Kim and Chul Koo Kim
|
The O(N) Nonlinear Sigma Model in the Functional Schr\"{o}dinger Picture
|
13 pages, no figures, Latex file
|
J.Phys.A31:6029-6036,1998
|
10.1088/0305-4470/31/28/016
|
YUMS-97-26/SNUTP-97-129
|
hep-th cond-mat
| null |
We present a functional Schr\"{o}dinger picture formalism of the
(1+1)-dimensional $O(N) $ nonlinear sigma model. The energy density has been
calculated to two-loop order using the wave functional of a gaussian form, and
from which the nonperturbative mass gap of the boson fields has been obtained.
The functional Schr\"{o}dinger picture approach combined with the variational
technique is shownto describe the characteristics of the ground state of the
nonlinear sigma model in a transparent way.
|
[
{
"created": "Sat, 13 Sep 1997 04:52:38 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kim",
"Dae Kwan",
""
],
[
"Kim",
"Chul Koo",
""
]
] |
We present a functional Schr\"{o}dinger picture formalism of the (1+1)-dimensional $O(N) $ nonlinear sigma model. The energy density has been calculated to two-loop order using the wave functional of a gaussian form, and from which the nonperturbative mass gap of the boson fields has been obtained. The functional Schr\"{o}dinger picture approach combined with the variational technique is shownto describe the characteristics of the ground state of the nonlinear sigma model in a transparent way.
| 10.171366
| 8.52782
| 8.357159
| 7.849979
| 8.188566
| 8.050011
| 8.504036
| 7.644997
| 8.138227
| 9.081817
| 8.12913
| 8.311651
| 8.285952
| 8.08849
| 8.463628
| 8.244812
| 8.080046
| 8.33048
| 8.277464
| 8.753258
| 8.300181
|
1308.2515
|
George Siopsis
|
Savan Kharel and George Siopsis
|
Tree-level Correlators of scalar and vector fields in AdS/CFT
|
21 pages
| null |
10.1007/JHEP11(2013)159
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Extending earlier results by Paulos, we discuss further the use of the
embedding formalism and Mellin transform in the calculation of tree-level
correlators of scalar and vector fields in AdS/CFT. We present an iterative
procedure that builds amplitudes by sewing together lower-point off-shell
diagrams. Both scalar and vector correlators are shown to be given in terms of
Mellin amplitudes. We apply the procedure to the explicit calculation of
three-, four- and five-point correlators.
|
[
{
"created": "Mon, 12 Aug 2013 10:34:28 GMT",
"version": "v1"
}
] |
2015-06-16
|
[
[
"Kharel",
"Savan",
""
],
[
"Siopsis",
"George",
""
]
] |
Extending earlier results by Paulos, we discuss further the use of the embedding formalism and Mellin transform in the calculation of tree-level correlators of scalar and vector fields in AdS/CFT. We present an iterative procedure that builds amplitudes by sewing together lower-point off-shell diagrams. Both scalar and vector correlators are shown to be given in terms of Mellin amplitudes. We apply the procedure to the explicit calculation of three-, four- and five-point correlators.
| 11.71886
| 8.767404
| 11.960218
| 8.597388
| 8.398171
| 8.397593
| 8.577465
| 8.009895
| 8.428154
| 12.576142
| 8.577218
| 8.698598
| 10.425597
| 8.530203
| 8.290285
| 8.47985
| 8.430395
| 8.328025
| 8.677301
| 10.419628
| 8.453202
|
1407.6022
|
Bruno Rizzuti
|
B. F. Rizzuti, E. M. C. Abreu, A. C. R. Mendes, M. A. Freitas and V.
Nikoofard
|
Noncommutative analysis in a curved phase-space and coherent states
quantization
|
26 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we have shown precisely that the curvature of a 2-sphere
introduces quantum features in the system through the introduction of the
noncommutative (NC) parameter that appeared naturally via equations of motion.
To obtain this result we used the fact that quantum mechanics can be understood
as a NC symplectic geometry, which generalized the standard description of
classical mechanics as a symplectic geometry. In this work, we have also
analyzed the dynamics of the model of a free particle over a 2-sphere in a NC
phase-space. Besides, we have shown the solution of the equations of motion
allows one to show the equivalence between the movement of the particle
physical degrees of freedom upon a 2-sphere and the one described by a central
field. We have considered the effective force felt by the particle as being
caused by the curvature of the space. We have analyzed the NC Poisson algebra
of classical observables in order to obtain the NC corrections to Newton's
second law. We have demonstrated precisely that the curvature of the space
acted as an effective potential for a free particle in a flat phase-space.
Besides, through NC coherent states quantization we have obtained the Green
function of the theory. The result have confirmed that we have an UV cutoff for
large momenta in the NC kernel.
We have also discussed the relation between affine connection and Dirac
brackets, as they describe the proper evolution of the model over the surface
of constraints in the Lagrangian and Hamiltonian formalisms, respectively. As
an application, we have treated the so-called \textit{Zitterbewegung} of the
Dirac electron. Since it is assumed to be an observable effect, then we have
traced its physical origin by assuming that the electron has an internal
structure.
|
[
{
"created": "Tue, 22 Jul 2014 20:10:07 GMT",
"version": "v1"
}
] |
2014-07-24
|
[
[
"Rizzuti",
"B. F.",
""
],
[
"Abreu",
"E. M. C.",
""
],
[
"Mendes",
"A. C. R.",
""
],
[
"Freitas",
"M. A.",
""
],
[
"Nikoofard",
"V.",
""
]
] |
In this work we have shown precisely that the curvature of a 2-sphere introduces quantum features in the system through the introduction of the noncommutative (NC) parameter that appeared naturally via equations of motion. To obtain this result we used the fact that quantum mechanics can be understood as a NC symplectic geometry, which generalized the standard description of classical mechanics as a symplectic geometry. In this work, we have also analyzed the dynamics of the model of a free particle over a 2-sphere in a NC phase-space. Besides, we have shown the solution of the equations of motion allows one to show the equivalence between the movement of the particle physical degrees of freedom upon a 2-sphere and the one described by a central field. We have considered the effective force felt by the particle as being caused by the curvature of the space. We have analyzed the NC Poisson algebra of classical observables in order to obtain the NC corrections to Newton's second law. We have demonstrated precisely that the curvature of the space acted as an effective potential for a free particle in a flat phase-space. Besides, through NC coherent states quantization we have obtained the Green function of the theory. The result have confirmed that we have an UV cutoff for large momenta in the NC kernel. We have also discussed the relation between affine connection and Dirac brackets, as they describe the proper evolution of the model over the surface of constraints in the Lagrangian and Hamiltonian formalisms, respectively. As an application, we have treated the so-called \textit{Zitterbewegung} of the Dirac electron. Since it is assumed to be an observable effect, then we have traced its physical origin by assuming that the electron has an internal structure.
| 10.625506
| 11.289738
| 10.896138
| 10.59894
| 10.832408
| 10.809146
| 10.908349
| 10.704453
| 10.627523
| 12.123171
| 10.496101
| 10.477812
| 10.265131
| 10.279769
| 10.419503
| 10.302851
| 10.199686
| 10.235868
| 10.628489
| 10.519967
| 10.363075
|
1208.3197
|
Kristan Jensen
|
Martin Ammon, Kristan Jensen, Keun-Young Kim, Jo\~ao Laia, Andy
O'Bannon
|
Moduli Spaces of Cold Holographic Matter
|
56 pages, 8 PDF images, 4 figures
|
JHEP 1211 (2012) 055
|
10.1007/JHEP11(2012)055
|
DAMTP-2012-53, CCTP-2012-22
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use holography to study (3+1)-dimensional N=4 supersymmetric Yang-Mills
theory with gauge group SU(Nc), in the large-Nc and large-coupling limits,
coupled to a single massless (n+1)-dimensional hypermultiplet in the
fundamental representation of SU(Nc), with n=3,2,1. In particular, we study
zero-temperature states with a nonzero baryon number charge density, which we
call holographic matter. We demonstrate that a moduli space of such states
exists in these theories, specifically a Higgs branch parameterized by the
expectation values of scalar operators bilinear in the hypermultiplet scalars.
At a generic point on the Higgs branch, the R-symmetry and gauge group are
spontaneously broken to subgroups. Our holographic calculation consists of
introducing a single probe Dp-brane into AdS5 times S^5, with p=2n+1=7,5,3,
introducing an electric flux of the Dp-brane worldvolume U(1) gauge field, and
then obtaining explicit solutions for the worldvolume fields dual to the scalar
operators that parameterize the Higgs branch. In all three cases, we can
express these solutions as non-singular self-dual U(1) instantons in a
four-dimensional space with a metric determined by the electric flux. We
speculate on the possibility that the existence of Higgs branches may point the
way to a counting of the microstates producing a nonzero entropy in holographic
matter. Additionally, we speculate on the possible classification of
zero-temperature, nonzero-density states described holographically by probe
D-branes with worldvolume electric flux.
|
[
{
"created": "Wed, 15 Aug 2012 20:00:03 GMT",
"version": "v1"
}
] |
2013-11-27
|
[
[
"Ammon",
"Martin",
""
],
[
"Jensen",
"Kristan",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Laia",
"João",
""
],
[
"O'Bannon",
"Andy",
""
]
] |
We use holography to study (3+1)-dimensional N=4 supersymmetric Yang-Mills theory with gauge group SU(Nc), in the large-Nc and large-coupling limits, coupled to a single massless (n+1)-dimensional hypermultiplet in the fundamental representation of SU(Nc), with n=3,2,1. In particular, we study zero-temperature states with a nonzero baryon number charge density, which we call holographic matter. We demonstrate that a moduli space of such states exists in these theories, specifically a Higgs branch parameterized by the expectation values of scalar operators bilinear in the hypermultiplet scalars. At a generic point on the Higgs branch, the R-symmetry and gauge group are spontaneously broken to subgroups. Our holographic calculation consists of introducing a single probe Dp-brane into AdS5 times S^5, with p=2n+1=7,5,3, introducing an electric flux of the Dp-brane worldvolume U(1) gauge field, and then obtaining explicit solutions for the worldvolume fields dual to the scalar operators that parameterize the Higgs branch. In all three cases, we can express these solutions as non-singular self-dual U(1) instantons in a four-dimensional space with a metric determined by the electric flux. We speculate on the possibility that the existence of Higgs branches may point the way to a counting of the microstates producing a nonzero entropy in holographic matter. Additionally, we speculate on the possible classification of zero-temperature, nonzero-density states described holographically by probe D-branes with worldvolume electric flux.
| 6.094099
| 5.574495
| 7.040989
| 5.707296
| 5.593759
| 5.718295
| 5.911857
| 5.999856
| 5.677437
| 7.410865
| 5.8874
| 5.689533
| 5.989735
| 5.785622
| 5.746975
| 5.753833
| 5.732972
| 5.707832
| 5.714242
| 6.094969
| 5.850698
|
hep-th/9201051
|
Jurgen Laartz
|
M. Bordemann, M. Forger, J. Laartz, U. Schaeper
|
The Lie-Poisson Structure of Integrable Classical Non-Linear Sigma
Models
|
29 pages
|
Commun.Math.Phys. 152 (1993) 167-190
|
10.1007/BF02097062
| null |
hep-th math.QA
| null |
The canonical structure of classical non-linear sigma models on Riemannian
symmetric spaces, which constitute the most general class of classical
non-linear sigma models known to be integrable, is shown to be governed by a
fundamental Poisson bracket relation that fits into the $r$-$s$-matrix
formalism for non-ultralocal integrable models first discussed by Maillet. The
matrices $r$ and $s$ are computed explicitly and, being field dependent,
satisfy fundamental Poisson bracket relations of their own, which can be
expressed in terms of a new numerical matrix~$c$. It is proposed that all these
Poisson brackets taken together are representation conditions for a new kind of
algebra which, for this class of models, replaces the classical Yang-Baxter
algebra governing the canonical structure of ultralocal models. The Poisson
brackets for the transition matrices are also computed, and the notorious
regularization problem associated with the definition of the Poisson brackets
for the monodromy matrices is discussed.
|
[
{
"created": "Fri, 24 Jan 1992 03:38:35 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Bordemann",
"M.",
""
],
[
"Forger",
"M.",
""
],
[
"Laartz",
"J.",
""
],
[
"Schaeper",
"U.",
""
]
] |
The canonical structure of classical non-linear sigma models on Riemannian symmetric spaces, which constitute the most general class of classical non-linear sigma models known to be integrable, is shown to be governed by a fundamental Poisson bracket relation that fits into the $r$-$s$-matrix formalism for non-ultralocal integrable models first discussed by Maillet. The matrices $r$ and $s$ are computed explicitly and, being field dependent, satisfy fundamental Poisson bracket relations of their own, which can be expressed in terms of a new numerical matrix~$c$. It is proposed that all these Poisson brackets taken together are representation conditions for a new kind of algebra which, for this class of models, replaces the classical Yang-Baxter algebra governing the canonical structure of ultralocal models. The Poisson brackets for the transition matrices are also computed, and the notorious regularization problem associated with the definition of the Poisson brackets for the monodromy matrices is discussed.
| 6.657599
| 6.792488
| 7.899989
| 6.958139
| 6.586827
| 7.034598
| 6.925493
| 6.809084
| 6.515735
| 8.820091
| 6.72049
| 6.696743
| 6.996609
| 6.825277
| 6.644444
| 6.693459
| 6.718965
| 6.894872
| 6.63138
| 6.704776
| 6.697962
|
1905.03268
|
Alexander Jahn
|
Alexander Jahn, Marek Gluza, Fernando Pastawski, Jens Eisert
|
Majorana dimers and holographic quantum error-correcting codes
|
42 pages, 10 figures
|
Phys. Rev. Research 1, 033079 (2019)
|
10.1103/PhysRevResearch.1.033079
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Holographic quantum error-correcting codes have been proposed as toy models
that describe key aspects of the AdS/CFT correspondence. In this work, we
introduce a versatile framework of Majorana dimers capturing the intersection
of stabilizer and Gaussian Majorana states. This picture allows for an
efficient contraction with a simple diagrammatic interpretation and is amenable
to analytical study of holographic quantum error-correcting codes. Equipped
with this framework, we revisit the recently proposed hyperbolic pentagon code
(HyPeC). Relating its logical code basis to Majorana dimers, we efficiently
compute boundary state properties even for the non-Gaussian case of generic
logical input. The dimers characterizing these boundary states coincide with
discrete bulk geodesics, leading to a geometric picture from which properties
of entanglement, quantum error correction, and bulk/boundary operator mapping
immediately follow. We also elaborate upon the emergence of the Ryu-Takayanagi
formula from our model, which realizes many of the properties of the recent bit
thread proposal. Our work thus elucidates the connection between bulk geometry,
entanglement, and quantum error correction in AdS/CFT, and lays the foundation
for new models of holography.
|
[
{
"created": "Wed, 8 May 2019 18:00:11 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Oct 2019 21:21:11 GMT",
"version": "v2"
}
] |
2019-11-12
|
[
[
"Jahn",
"Alexander",
""
],
[
"Gluza",
"Marek",
""
],
[
"Pastawski",
"Fernando",
""
],
[
"Eisert",
"Jens",
""
]
] |
Holographic quantum error-correcting codes have been proposed as toy models that describe key aspects of the AdS/CFT correspondence. In this work, we introduce a versatile framework of Majorana dimers capturing the intersection of stabilizer and Gaussian Majorana states. This picture allows for an efficient contraction with a simple diagrammatic interpretation and is amenable to analytical study of holographic quantum error-correcting codes. Equipped with this framework, we revisit the recently proposed hyperbolic pentagon code (HyPeC). Relating its logical code basis to Majorana dimers, we efficiently compute boundary state properties even for the non-Gaussian case of generic logical input. The dimers characterizing these boundary states coincide with discrete bulk geodesics, leading to a geometric picture from which properties of entanglement, quantum error correction, and bulk/boundary operator mapping immediately follow. We also elaborate upon the emergence of the Ryu-Takayanagi formula from our model, which realizes many of the properties of the recent bit thread proposal. Our work thus elucidates the connection between bulk geometry, entanglement, and quantum error correction in AdS/CFT, and lays the foundation for new models of holography.
| 10.616115
| 11.176233
| 12.184774
| 11.416034
| 11.26001
| 11.469161
| 11.656517
| 11.150256
| 10.819815
| 13.266981
| 11.119843
| 10.718594
| 10.826519
| 10.664335
| 10.603535
| 10.336418
| 10.43205
| 10.595969
| 10.305702
| 11.087121
| 10.506301
|
1911.10147
|
Christoph Schweigert
|
Christoph Schweigert and Yang Yang
|
CFT Correlators for Cardy Bulk Fields via String-Net Models
| null |
SIGMA 17 (2021), 040, 22 pages
|
10.3842/SIGMA.2021.040
|
ZMP-HH/19-23, Beitr\"age zur Mathematik Nr.813
|
hep-th math.QA
|
http://creativecommons.org/licenses/by-sa/4.0/
|
We show that string-net models provide a novel geometric method to construct
invariants of mapping class group actions. Concretely, we consider string-net
models for a modular tensor category ${\mathcal C}$. We show that the datum of
a specific commutative symmetric Frobenius algebra in the Drinfeld center
$Z(\mathcal{C})$ gives rise to invariant string-nets. The Frobenius algebra has
the interpretation of the algebra of bulk fields of the conformal field theory
in the Cardy case.
|
[
{
"created": "Fri, 22 Nov 2019 17:14:11 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Apr 2021 08:28:30 GMT",
"version": "v2"
}
] |
2021-04-22
|
[
[
"Schweigert",
"Christoph",
""
],
[
"Yang",
"Yang",
""
]
] |
We show that string-net models provide a novel geometric method to construct invariants of mapping class group actions. Concretely, we consider string-net models for a modular tensor category ${\mathcal C}$. We show that the datum of a specific commutative symmetric Frobenius algebra in the Drinfeld center $Z(\mathcal{C})$ gives rise to invariant string-nets. The Frobenius algebra has the interpretation of the algebra of bulk fields of the conformal field theory in the Cardy case.
| 7.600848
| 8.426542
| 10.250367
| 7.947825
| 8.860517
| 8.494668
| 9.591865
| 8.349216
| 8.235731
| 9.473989
| 7.565231
| 7.833173
| 8.19207
| 7.872568
| 8.262566
| 8.248424
| 8.154433
| 7.73932
| 7.582701
| 8.435584
| 7.611483
|
2405.05746
|
Seungjoo Baek
|
Seungjoo Baek and Dongmin Gang
|
3D bulk field theories for 2D non-unitary N=1 supersymmetric minimal
models
|
32 pages, 3 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We propose bulk 3D N=4 rank-0 superconformal field theories, which are
related to 2D N=1 supersymmetric minimal models, SM(2, ...) and SM(3, ...), via
recently discovered non-unitary bulk-boundary correspondence. The
correspondence relates a 3D N=4 rank-0 superconformal field theory to 2D chiral
rational conformal field theories. A topologically twisted theory of the rank-0
SCFT supports the rational chiral algebra at the boundary upon a proper choice
of boundary condition. We test the proposal by checking several non-trivial
dictionaries of the correspondence.
|
[
{
"created": "Thu, 9 May 2024 13:12:47 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2024 11:36:37 GMT",
"version": "v2"
}
] |
2024-06-04
|
[
[
"Baek",
"Seungjoo",
""
],
[
"Gang",
"Dongmin",
""
]
] |
We propose bulk 3D N=4 rank-0 superconformal field theories, which are related to 2D N=1 supersymmetric minimal models, SM(2, ...) and SM(3, ...), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D N=4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. We test the proposal by checking several non-trivial dictionaries of the correspondence.
| 10.462362
| 9.688576
| 12.440835
| 9.37122
| 10.097664
| 10.134674
| 10.825553
| 9.430161
| 9.446579
| 14.38498
| 9.877056
| 9.650389
| 10.559905
| 9.633181
| 9.93807
| 9.469975
| 9.444672
| 9.567663
| 9.358483
| 10.763645
| 9.891132
|
hep-th/0608099
|
Makoto Sakaguchi
|
Makoto Sakaguchi and Kentaroh Yoshida
|
Noncommutative M-branes from Covariant Open Supermembranes
|
5 pages, revtex4; further clarifications and references added
|
Phys.Lett. B642 (2006) 400-403
|
10.1016/j.physletb.2006.09.047
|
OIQP-06-11, KEK-TH-1099
|
hep-th
| null |
We discuss an open supermembrane in the presence of a constant three-form.
The boundary conditions to ensure the kappa-invariance of the action lead to
possible Dirichlet branes. It is shown that a noncommutative (NC) M5-brane is
possible as a boundary and the self-duality condition that the flux on the
world-volume satisfies is derived from the requirement of the kappa-symmetry.
We also find that the open supermembrane can attach to each of infinitely many
M2-branes on an M5-brane, namely a strong flux limit of the NC M5-brane.
|
[
{
"created": "Tue, 15 Aug 2006 07:58:33 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2006 10:02:38 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Sakaguchi",
"Makoto",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] |
We discuss an open supermembrane in the presence of a constant three-form. The boundary conditions to ensure the kappa-invariance of the action lead to possible Dirichlet branes. It is shown that a noncommutative (NC) M5-brane is possible as a boundary and the self-duality condition that the flux on the world-volume satisfies is derived from the requirement of the kappa-symmetry. We also find that the open supermembrane can attach to each of infinitely many M2-branes on an M5-brane, namely a strong flux limit of the NC M5-brane.
| 9.090735
| 8.370804
| 9.964213
| 7.839042
| 7.497971
| 7.944967
| 8.311313
| 7.831198
| 7.94645
| 10.960742
| 7.87073
| 7.669822
| 9.517177
| 8.139242
| 8.253475
| 8.041086
| 8.0054
| 8.081378
| 8.314137
| 9.248028
| 8.086609
|
1211.2289
|
Shin'ichi Nojiri
|
K. Bamba, R. Gannouji, M. Kamijo, S. Nojiri, M. Sami
|
Spontaneous symmetry breaking in cosmos: The hybrid symmetron as a dark
energy switching device
|
LaTeX 11 pages, first sections shortened, conclusions unchanged, to
appear in JCAP
| null |
10.1088/1475-7516/2013/07/017
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider symmetron model in a generalized background with a hope to make
it compatible with dark energy. We observe a "no go" theorem at least in case
of a conformal coupling. Being convinced of symmetron incapability to be dark
energy, we try to retain its role for spontaneous symmetry breaking and assign
the role of dark energy either to standard quintessence or $F(R)$ theory which
are switched on by symmetron field in the symmetry broken phase. The scenario
reduces to standard Einstein gravity in the high density region. After the
phase transition generated by symmetron field, either the $F(R)$ gravity or the
standard quintessence are induced in the low density region. we demonstrate
that local gravity constraints and other requirements are satisfied although
the model could generate the late-time acceleration of Universe.
|
[
{
"created": "Sat, 10 Nov 2012 04:26:53 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Jun 2013 00:25:27 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Bamba",
"K.",
""
],
[
"Gannouji",
"R.",
""
],
[
"Kamijo",
"M.",
""
],
[
"Nojiri",
"S.",
""
],
[
"Sami",
"M.",
""
]
] |
We consider symmetron model in a generalized background with a hope to make it compatible with dark energy. We observe a "no go" theorem at least in case of a conformal coupling. Being convinced of symmetron incapability to be dark energy, we try to retain its role for spontaneous symmetry breaking and assign the role of dark energy either to standard quintessence or $F(R)$ theory which are switched on by symmetron field in the symmetry broken phase. The scenario reduces to standard Einstein gravity in the high density region. After the phase transition generated by symmetron field, either the $F(R)$ gravity or the standard quintessence are induced in the low density region. we demonstrate that local gravity constraints and other requirements are satisfied although the model could generate the late-time acceleration of Universe.
| 14.752878
| 14.296979
| 14.122233
| 13.381237
| 14.656583
| 14.056508
| 15.662676
| 13.212293
| 14.318457
| 14.132411
| 13.730872
| 14.155734
| 14.076715
| 13.671818
| 14.009237
| 13.826766
| 13.463339
| 13.47852
| 14.24716
| 13.619699
| 14.311061
|
1707.08427
|
Ram Brustein
|
Ram Brustein, A.J.M. Medved, Yoav Zigdon
|
The state of Hawking radiation is non-classical
|
Replaced to agree with the published version. Added explanations
| null |
10.1007/JHEP01(2018)136
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the state of the Hawking radiation emitted from a large
Schwarzschild black hole (BH) deviates significantly from a classical state, in
spite of its apparent thermal nature. For this state, the occupation numbers of
single modes of massless asymptotic fields, such as photons, gravitons and
possibly neutrinos, are small and, as a result, their relative fluctuations are
large. The occupation numbers of massive fields are much smaller and suppressed
beyond even the expected Boltzmann suppression. It follows that this type of
thermal state cannot be viewed as classical or even semiclassical. We
substantiate this claim by showing that, in a state with low occupation
numbers, physical observables have large quantum fluctuations and, as such,
cannot be faithfully described by a mean-field or by a WKB-like semiclassical
state. Since the evolution of the BH is unitary, our results imply that the
state of the BH interior must also be non-classical when described in terms of
the asymptotic fields. We show that such a non-classical interior cannot be
described in terms of a semiclassical geometry, even though the average
curvature is sub-Planckian.
|
[
{
"created": "Wed, 26 Jul 2017 13:25:17 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Feb 2018 19:12:13 GMT",
"version": "v2"
}
] |
2018-03-14
|
[
[
"Brustein",
"Ram",
""
],
[
"Medved",
"A. J. M.",
""
],
[
"Zigdon",
"Yoav",
""
]
] |
We show that the state of the Hawking radiation emitted from a large Schwarzschild black hole (BH) deviates significantly from a classical state, in spite of its apparent thermal nature. For this state, the occupation numbers of single modes of massless asymptotic fields, such as photons, gravitons and possibly neutrinos, are small and, as a result, their relative fluctuations are large. The occupation numbers of massive fields are much smaller and suppressed beyond even the expected Boltzmann suppression. It follows that this type of thermal state cannot be viewed as classical or even semiclassical. We substantiate this claim by showing that, in a state with low occupation numbers, physical observables have large quantum fluctuations and, as such, cannot be faithfully described by a mean-field or by a WKB-like semiclassical state. Since the evolution of the BH is unitary, our results imply that the state of the BH interior must also be non-classical when described in terms of the asymptotic fields. We show that such a non-classical interior cannot be described in terms of a semiclassical geometry, even though the average curvature is sub-Planckian.
| 7.715055
| 8.348232
| 7.89478
| 7.942544
| 7.994785
| 8.194701
| 8.312732
| 7.80103
| 7.616601
| 8.487447
| 7.684136
| 7.49943
| 7.396945
| 7.219491
| 7.538902
| 7.760143
| 7.439019
| 7.417488
| 7.436006
| 7.466222
| 7.405288
|
1511.07546
|
Norihiro Iizuka
|
Masazumi Honda, Norihiro Iizuka, Akinori Tanaka, Seiji Terashima
|
Exact Path Integral for 3D Higher Spin Gravity
|
8 pages, 1 figure. v2: discussion on introducing higher-spin-charge
chemical potential added
|
Phys. Rev. D 95, 046016 (2017)
|
10.1103/PhysRevD.95.046016
|
OU-HET-875, RIKEN-STAMP-19, WIS/07/15-OCT-DPPA, YITP-15-90
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Extending the works arXiv:1504.05991 and arXiv:1510.02142, we study three
dimensional Euclidean higher spin gravity with negative cosmological constant.
This theory can be formulated in terms of SL(N,C) Chern-Simons theory. By
introducing auxiliary fields, we rewrite it in a supersymmetric way and compute
its partition function exactly by using the localization method. We obtain a
good expression for the partition function in terms of characters for the
vacuum and primaries in 2D unitary CFT with W_N symmetry. We also check that
the coefficients of the character expansion are positive integers and exhibit
Cardy formula in the large central charge limit.
|
[
{
"created": "Tue, 24 Nov 2015 02:49:48 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Sep 2016 15:42:15 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Honda",
"Masazumi",
""
],
[
"Iizuka",
"Norihiro",
""
],
[
"Tanaka",
"Akinori",
""
],
[
"Terashima",
"Seiji",
""
]
] |
Extending the works arXiv:1504.05991 and arXiv:1510.02142, we study three dimensional Euclidean higher spin gravity with negative cosmological constant. This theory can be formulated in terms of SL(N,C) Chern-Simons theory. By introducing auxiliary fields, we rewrite it in a supersymmetric way and compute its partition function exactly by using the localization method. We obtain a good expression for the partition function in terms of characters for the vacuum and primaries in 2D unitary CFT with W_N symmetry. We also check that the coefficients of the character expansion are positive integers and exhibit Cardy formula in the large central charge limit.
| 9.860466
| 7.74609
| 9.062451
| 7.823811
| 7.392961
| 7.510069
| 7.723664
| 7.245118
| 7.469897
| 8.772148
| 7.668292
| 8.050312
| 8.52282
| 8.275818
| 8.130897
| 8.207219
| 7.965846
| 7.980984
| 8.318395
| 8.744418
| 8.214754
|
1201.3045
|
Ralf Lehnert
|
Mauro Cambiaso, Ralf Lehnert, and Robertus Potting
|
Massive photons and Lorentz violation
|
12 pages, 1 figure
| null |
10.1103/PhysRevD.85.085023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
All quadratic translation- and gauge-invariant photon operators for Lorentz
breakdown are included into the Stueckelberg Lagrangian for massive photons in
a generalized \xi-gauge. The corresponding dispersion relation and tree-level
propagator are determined exactly, and some leading-order results are derived.
The question of how to include such Lorentz-violating effects into a
perturbative quantum-field expansion is addressed. Applications of these
results within Lorentz-breaking quantum field theories include the
regularization of infrared divergences as well as the free propagation of
massive vector bosons.
|
[
{
"created": "Sat, 14 Jan 2012 21:07:29 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Cambiaso",
"Mauro",
""
],
[
"Lehnert",
"Ralf",
""
],
[
"Potting",
"Robertus",
""
]
] |
All quadratic translation- and gauge-invariant photon operators for Lorentz breakdown are included into the Stueckelberg Lagrangian for massive photons in a generalized \xi-gauge. The corresponding dispersion relation and tree-level propagator are determined exactly, and some leading-order results are derived. The question of how to include such Lorentz-violating effects into a perturbative quantum-field expansion is addressed. Applications of these results within Lorentz-breaking quantum field theories include the regularization of infrared divergences as well as the free propagation of massive vector bosons.
| 16.507368
| 14.009758
| 13.887668
| 12.859823
| 15.162747
| 15.888965
| 14.762342
| 14.70683
| 13.596739
| 17.063433
| 13.444657
| 12.7762
| 14.094106
| 13.163416
| 13.292259
| 13.862969
| 13.223351
| 13.777287
| 13.076908
| 13.802722
| 13.056301
|
1505.02374
|
Robert Brandenberger
|
L.L. Graef and R. Brandenberger (McGill Univ. and Univ. of Sao Paulo)
|
A Note on Trans-Planckian Tail Effects
|
5 pages
|
Journal of Cosmology and Astroparticle Physics, JCAP, v. 2015, p.
032-032, 2015
|
10.1088/1475-7516/2015/09/032
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the proposal by Mersini et al. that the observed dark energy might
be explained by the back-reaction of the set of tail modes in a theory with a
dispersion relation in which the mode frequency decays exponentially in the
trans-Planckian regime. The matter tail modes are frozen out, however they
induce metric fluctuations. The energy-momentum tensor with which the tail
modes effect the background geometry obtains contributions from both metric and
matter fluctuations. We calculate the equation of state induced by the tail
modes taking into account the gravitational contribution. We find that, in
contrast to the case of frozen super-Hubble cosmological fluctuations, in this
case the matter perturbations dominate, and they yield an equation of state
which to leading order takes the form of a positive cosmological constant.
|
[
{
"created": "Sun, 10 May 2015 12:15:02 GMT",
"version": "v1"
}
] |
2018-11-20
|
[
[
"Graef",
"L. L.",
"",
"McGill Univ. and Univ. of Sao Paulo"
],
[
"Brandenberger",
"R.",
"",
"McGill Univ. and Univ. of Sao Paulo"
]
] |
We study the proposal by Mersini et al. that the observed dark energy might be explained by the back-reaction of the set of tail modes in a theory with a dispersion relation in which the mode frequency decays exponentially in the trans-Planckian regime. The matter tail modes are frozen out, however they induce metric fluctuations. The energy-momentum tensor with which the tail modes effect the background geometry obtains contributions from both metric and matter fluctuations. We calculate the equation of state induced by the tail modes taking into account the gravitational contribution. We find that, in contrast to the case of frozen super-Hubble cosmological fluctuations, in this case the matter perturbations dominate, and they yield an equation of state which to leading order takes the form of a positive cosmological constant.
| 10.869521
| 10.921127
| 10.953618
| 9.902236
| 10.420383
| 10.03963
| 9.948124
| 10.59015
| 10.311725
| 10.766339
| 10.152352
| 10.18263
| 10.415865
| 10.419874
| 10.549238
| 10.82744
| 10.667148
| 10.317164
| 10.438249
| 10.757908
| 10.533163
|
2211.01099
|
Thitipat Sainapha
|
Thitipat Sainapha, Kei-Ichi Kondo
|
Unitarity Problem in Gribov-Zwanziger Theory
|
5 pages
| null | null |
CHIBA-EP-256
|
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We show that the unitarity problem in the Gribov-Zwanziger theory can be
solved by the famous quartet mechanism. The construction of the new quartet in
such a theory suggests the introduction of a new form of ghost charge and
projection operator
|
[
{
"created": "Wed, 2 Nov 2022 13:19:14 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2022 04:27:22 GMT",
"version": "v2"
}
] |
2022-11-04
|
[
[
"Sainapha",
"Thitipat",
""
],
[
"Kondo",
"Kei-Ichi",
""
]
] |
We show that the unitarity problem in the Gribov-Zwanziger theory can be solved by the famous quartet mechanism. The construction of the new quartet in such a theory suggests the introduction of a new form of ghost charge and projection operator
| 16.113422
| 13.882607
| 15.527973
| 13.584046
| 17.249861
| 13.561399
| 14.51834
| 12.356804
| 13.077345
| 16.987391
| 14.223657
| 14.183917
| 14.33561
| 13.764273
| 13.53129
| 13.887718
| 14.156075
| 13.928647
| 13.39153
| 14.134774
| 13.555786
|
1909.09983
|
Peter M. Lavrov
|
Igor A. Batalin, Klaus Bering, Peter M. Lavrov, Igor V. Tyutin
|
Multiplicative renormalizability of Yang-Mills theory with the
background field method in the BV-formalism
|
14 pages, published version
|
Theor. Math. Phys. 202 (2020) 30-40
|
10.1134/S0040577920010043
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills
theory using the background field method and the BV-formalism, we derive a
classical master-equation homogeneous with respect to the antibracket by
introducing antifield partners to the background fields and parameters. The
constructed model can be renormalized by the standard method of introducing
counterterms. This model does not have (exact) multiplicative renormalizability
but it does have this property in the physical sector (quasimultiplicative
renormalizability).
|
[
{
"created": "Sun, 22 Sep 2019 11:24:24 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jan 2020 08:38:13 GMT",
"version": "v2"
}
] |
2020-01-16
|
[
[
"Batalin",
"Igor A.",
""
],
[
"Bering",
"Klaus",
""
],
[
"Lavrov",
"Peter M.",
""
],
[
"Tyutin",
"Igor V.",
""
]
] |
Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV-formalism, we derive a classical master-equation homogeneous with respect to the antibracket by introducing antifield partners to the background fields and parameters. The constructed model can be renormalized by the standard method of introducing counterterms. This model does not have (exact) multiplicative renormalizability but it does have this property in the physical sector (quasimultiplicative renormalizability).
| 11.295131
| 10.394518
| 12.012831
| 9.653105
| 11.063915
| 10.151711
| 10.354147
| 10.320515
| 9.803469
| 11.698722
| 9.776426
| 9.950095
| 10.783601
| 9.625322
| 9.682565
| 9.821928
| 9.778228
| 9.64362
| 9.788981
| 10.655239
| 9.990165
|
1610.04618
|
Danning Li
|
Danning Li, Mei Huang, Yi Yang and Pei-Hung Yuan
|
Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
|
18 pages, 6 figures, regular article
| null |
10.1007/JHEP02(2017)030
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Magnetic effects on chiral phase transition have been investigated in a
modified soft-wall AdS/QCD model, in which the dilaton field is taken to be
negative at the ultraviolet region and positive at the infrared region as in
Phys.Rev.D93(2016),101901 and JHEP1604(2016)036. The magnetic field is
introduced into the background geometry by solving the Einstein-Maxwell system.
After embedding the magnetized background geometry into the modified soft-wall
model, the magnetic field dependent behavior of chiral condensate is worked out
numerically. It is found that, in the chiral limit, the chiral phase transition
remains as a second order at finite magnetic field $B$, while the symmetry
restoration temperature and chiral condensate decrease with the increasing of
magnetic field in small $B$ region. When including finite quark mass effect,
the phase transition turns to be a crossover one, and the transition
temperature still decreases with increasing magnetic field $B$ when $B$ is not
very large. In this sense, inverse magnetic catalysis effect is observed in
this modified soft-wall AdS/QCD model.
|
[
{
"created": "Wed, 5 Oct 2016 09:47:37 GMT",
"version": "v1"
}
] |
2017-03-08
|
[
[
"Li",
"Danning",
""
],
[
"Huang",
"Mei",
""
],
[
"Yang",
"Yi",
""
],
[
"Yuan",
"Pei-Hung",
""
]
] |
Magnetic effects on chiral phase transition have been investigated in a modified soft-wall AdS/QCD model, in which the dilaton field is taken to be negative at the ultraviolet region and positive at the infrared region as in Phys.Rev.D93(2016),101901 and JHEP1604(2016)036. The magnetic field is introduced into the background geometry by solving the Einstein-Maxwell system. After embedding the magnetized background geometry into the modified soft-wall model, the magnetic field dependent behavior of chiral condensate is worked out numerically. It is found that, in the chiral limit, the chiral phase transition remains as a second order at finite magnetic field $B$, while the symmetry restoration temperature and chiral condensate decrease with the increasing of magnetic field in small $B$ region. When including finite quark mass effect, the phase transition turns to be a crossover one, and the transition temperature still decreases with increasing magnetic field $B$ when $B$ is not very large. In this sense, inverse magnetic catalysis effect is observed in this modified soft-wall AdS/QCD model.
| 5.203109
| 5.411129
| 4.969048
| 4.747128
| 5.224718
| 5.515754
| 5.031402
| 5.527351
| 4.520138
| 5.020204
| 5.301855
| 4.909687
| 4.930404
| 4.85198
| 5.010646
| 4.963763
| 4.944201
| 5.049232
| 4.762519
| 4.885769
| 5.111477
|
0808.1356
|
Silvio Paolo Sorella
|
L. Baulieu, S. P. Sorella
|
Soft breaking of BRST invariance for introducing non-perturbative
infrared effects in a local and renormalizable way
|
11 pages
|
Phys.Lett.B671:481-485,2009
|
10.1016/j.physletb.2008.11.036
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The possibility of introducing non-perturbative infrared effects leading to a
modification of the long distance behavior of gauge theories through a soft
breaking of the BRST invariance is investigated. The method reproduces the
Gribov-Zwanziger action describing the restriction of the domain of integration
in the Feynman path integral to the Gribov region and a model for the dynamical
quark mass generation is presented. The soft symmetry breaking relies on the
introduction of BRST doublets and massive physical parameters, which allow one
to distinguish the infrared region from the ultraviolet one, within the same
theory.
|
[
{
"created": "Sat, 9 Aug 2008 13:46:17 GMT",
"version": "v1"
}
] |
2009-02-02
|
[
[
"Baulieu",
"L.",
""
],
[
"Sorella",
"S. P.",
""
]
] |
The possibility of introducing non-perturbative infrared effects leading to a modification of the long distance behavior of gauge theories through a soft breaking of the BRST invariance is investigated. The method reproduces the Gribov-Zwanziger action describing the restriction of the domain of integration in the Feynman path integral to the Gribov region and a model for the dynamical quark mass generation is presented. The soft symmetry breaking relies on the introduction of BRST doublets and massive physical parameters, which allow one to distinguish the infrared region from the ultraviolet one, within the same theory.
| 7.343257
| 6.757737
| 7.961723
| 6.66362
| 7.133868
| 7.479203
| 7.083344
| 7.087621
| 6.928658
| 8.263257
| 7.118698
| 7.243899
| 7.794069
| 7.342389
| 6.884479
| 6.949342
| 6.978062
| 7.259425
| 7.141256
| 7.675907
| 7.064925
|
1209.1251
|
Bayram Tekin
|
Suat Dengiz, Ercan Kilicarslan, Bayram Tekin
|
Weyl-gauging of Topologically Massive Gravity
|
10 pages, minor changes made, version to appear in Phys. Rev. D
|
Phys. Rev. D 86, 104014 (2012)
|
10.1103/PhysRevD.86.104014
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a Weyl-invariant extension of topologically massive gravity
which, remarkably, turns out to include topologically massive electrodynamics,
with a Proca mass term, conformally coupled to a scalar field. The action has
no dimensionful parameters, therefore, the masses are generated via symmetry
breaking either radiatively in flat backgrounds or spontaneously in constant
curvature backgrounds. The broken phase of the theory, generically, has a
single massive spin-2 and a massive spin-1 excitation. Chiral gravity in
asymptotically anti-de Sitter spacetimes does not arise as a low energy theory,
while chiral gravity in de Sitter spacetime is not ruled out.
|
[
{
"created": "Thu, 6 Sep 2012 10:56:50 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2012 12:22:46 GMT",
"version": "v2"
}
] |
2012-11-08
|
[
[
"Dengiz",
"Suat",
""
],
[
"Kilicarslan",
"Ercan",
""
],
[
"Tekin",
"Bayram",
""
]
] |
We construct a Weyl-invariant extension of topologically massive gravity which, remarkably, turns out to include topologically massive electrodynamics, with a Proca mass term, conformally coupled to a scalar field. The action has no dimensionful parameters, therefore, the masses are generated via symmetry breaking either radiatively in flat backgrounds or spontaneously in constant curvature backgrounds. The broken phase of the theory, generically, has a single massive spin-2 and a massive spin-1 excitation. Chiral gravity in asymptotically anti-de Sitter spacetimes does not arise as a low energy theory, while chiral gravity in de Sitter spacetime is not ruled out.
| 8.226843
| 8.208896
| 7.692494
| 7.027326
| 7.815651
| 7.452023
| 7.935936
| 7.348444
| 7.550466
| 7.626521
| 7.598166
| 7.640418
| 7.725316
| 7.274992
| 7.622941
| 7.839953
| 7.850887
| 7.675852
| 7.443775
| 7.777758
| 7.364856
|
hep-th/9304109
|
Spenta Wadia
|
Spenta R. Wadia
|
Non-Perturbative 2-Dimensional String Theory
|
18p, TIFR-TH-93-17
| null | null | null |
hep-th
| null |
We review some aspects of the non-perturbative formulation of 2-dim. string
theory in terms of non-relativistic fermions. We derive the bosonization using
$W_\infty$ coherent states in the path-integral formulation. We discuss the
classical limit and indicate the precise nature of the truncation of the full
theory that leads to collective field theory. As applications we briefly
discuss classical solutions reponsible for stringy non-perturbative effects and
the 2-dim. black-hole.
|
[
{
"created": "Fri, 23 Apr 1993 12:31:44 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Wadia",
"Spenta R.",
""
]
] |
We review some aspects of the non-perturbative formulation of 2-dim. string theory in terms of non-relativistic fermions. We derive the bosonization using $W_\infty$ coherent states in the path-integral formulation. We discuss the classical limit and indicate the precise nature of the truncation of the full theory that leads to collective field theory. As applications we briefly discuss classical solutions reponsible for stringy non-perturbative effects and the 2-dim. black-hole.
| 10.540606
| 7.550035
| 10.815477
| 8.288376
| 8.134354
| 8.228518
| 8.853635
| 7.567943
| 8.005283
| 8.939399
| 8.152896
| 9.297514
| 10.030529
| 9.277041
| 9.571325
| 9.302812
| 9.450436
| 8.831916
| 8.978168
| 10.338323
| 9.205092
|
hep-th/9710096
|
M. Abouzeid
|
M. Abou Zeid and C. M. Hull
|
Conformal Invariance and Duality in Self-Dual Gravity and (2,1)
Heterotic String Theory
|
LaTeX, 14 pages, no figures. One reference added and interpretation
revised; version to appear in Physics Letters B
|
Phys.Lett. B419 (1998) 139-147; Erratum-ibid. B431 (1998) 459
|
10.1016/S0370-2693(97)01437-8
|
QMW-PH-97-31
|
hep-th
| null |
A system of gravity coupled to a 2-form gauge field, a dilaton and Yang-Mills
fields in $2n$ dimensions arises from the (2,1) sigma model or string. The
field equations imply that the curvature with torsion and Yang-Mills field
strength are self-dual in four dimensions, or satisfy generalised self-duality
equations in $2n$ dimensions. The Born-Infeld-type action describing this
system is simplified using an auxiliary metric and shown to be classically Weyl
invariant only in four dimensions. A dual form of the action is found (no
isometries are required). In four dimensions, the dual geometry is self-dual
gravity without torsion coupled to a scalar field. In $D>4$ dimensions, the
dual geometry is hermitian and determined by a $D-4$ form potential $K$,
generalising the K\"{a}hler potential of the four dimensional case, with the
fundamental 2-form given by $\tilde J= i*\partial \bar \partial K$. The
coupling to Yang-Mills is through a term $K\wedge tr (F\wedge F)$ and leads to
a Uhlenbeck-Yau field equation $\tilde J^{ij}F_{ij}=0$.
|
[
{
"created": "Fri, 10 Oct 1997 16:57:37 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Nov 1997 15:09:22 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Dec 1997 18:27:21 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Zeid",
"M. Abou",
""
],
[
"Hull",
"C. M.",
""
]
] |
A system of gravity coupled to a 2-form gauge field, a dilaton and Yang-Mills fields in $2n$ dimensions arises from the (2,1) sigma model or string. The field equations imply that the curvature with torsion and Yang-Mills field strength are self-dual in four dimensions, or satisfy generalised self-duality equations in $2n$ dimensions. The Born-Infeld-type action describing this system is simplified using an auxiliary metric and shown to be classically Weyl invariant only in four dimensions. A dual form of the action is found (no isometries are required). In four dimensions, the dual geometry is self-dual gravity without torsion coupled to a scalar field. In $D>4$ dimensions, the dual geometry is hermitian and determined by a $D-4$ form potential $K$, generalising the K\"{a}hler potential of the four dimensional case, with the fundamental 2-form given by $\tilde J= i*\partial \bar \partial K$. The coupling to Yang-Mills is through a term $K\wedge tr (F\wedge F)$ and leads to a Uhlenbeck-Yau field equation $\tilde J^{ij}F_{ij}=0$.
| 8.654217
| 8.366138
| 9.232434
| 8.080883
| 7.968211
| 7.854648
| 8.224337
| 8.615822
| 7.557782
| 10.083693
| 7.885962
| 8.259752
| 8.384257
| 8.108212
| 7.934949
| 8.048788
| 8.228049
| 8.010089
| 8.126851
| 8.336847
| 8.182219
|
1201.6520
|
Dibakar Roychowdhury
|
Sunandan Gangopadhyay, Dibakar Roychowdhury
|
Analytic study of properties of holographic superconductors in
Born-Infeld electrodynamics
|
12 pages, LateX, To appear in JHEP
|
JHEP05(2012)002
|
10.1007/JHEP05(2012)002
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, based on the Sturm-Liouville eigenvalue problem, we
analytically investigate several properties of holographic s-wave
superconductors in the background of a Schwarzschild-AdS spacetime in the
framework of Born-Infeld electrodynamics. Based on a perturbative approach, we
explicitly find the relation between the critical temperature and the charge
density and also the fact that the Born-Infeld coupling parameter indeed
affects the formation of scalar hair at low temperatures. Higher value of the
Born-Infeld parameter results in a harder condensation to form. We further
compute the critical exponent associated with the condensation near the
critical temperature. The analytical results obtained are found to be in good
agreement with the existing numerical results.
|
[
{
"created": "Tue, 31 Jan 2012 12:18:23 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Apr 2012 09:56:29 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Gangopadhyay",
"Sunandan",
""
],
[
"Roychowdhury",
"Dibakar",
""
]
] |
In this paper, based on the Sturm-Liouville eigenvalue problem, we analytically investigate several properties of holographic s-wave superconductors in the background of a Schwarzschild-AdS spacetime in the framework of Born-Infeld electrodynamics. Based on a perturbative approach, we explicitly find the relation between the critical temperature and the charge density and also the fact that the Born-Infeld coupling parameter indeed affects the formation of scalar hair at low temperatures. Higher value of the Born-Infeld parameter results in a harder condensation to form. We further compute the critical exponent associated with the condensation near the critical temperature. The analytical results obtained are found to be in good agreement with the existing numerical results.
| 6.441147
| 3.621854
| 5.77455
| 4.453989
| 4.625217
| 4.108838
| 4.208683
| 3.89339
| 4.266325
| 6.026996
| 4.479851
| 5.358625
| 6.092478
| 5.460289
| 5.400289
| 5.31656
| 5.355597
| 5.09586
| 5.397701
| 5.751019
| 5.51926
|
2004.02531
|
Alessandro Torrielli
|
Juan Miguel Nieto Garcia, Alessandro Torrielli and Leander Wyss
|
Boost generator in AdS_3 integrable superstrings for general braiding
|
26 pages, no figures; v2: added references, minor typographical
improvements; v3: incorporated referee's suggestions, version to appear in
JHEP; v4: corrected typo in (3.8) - (3.9)
| null |
10.1007/JHEP07(2020)223
|
DMUS-MP-20/02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we find a host of boost operators for a very general choice of
coproducts in AdS_3-inspired scattering theories, focusing on the massless
sector, with and without an added trigonometric deformation. We find that the
boost coproducts are exact symmetries of the R-matrices we construct, besides
fulfilling the relations of modified Poincare' - type superalgebras. In the
process, we discover an ambiguity in determining the boost coproduct which
allows us to derive differential constraints on our R-matrices. In one
particular case of the trigonometric deformation, we find a non-coassociative
structure which satisfies the axioms of a quasi-Hopf algebra.
|
[
{
"created": "Mon, 6 Apr 2020 10:04:28 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 2020 15:18:18 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Jul 2020 11:57:49 GMT",
"version": "v3"
},
{
"created": "Wed, 23 Sep 2020 14:27:30 GMT",
"version": "v4"
}
] |
2020-09-24
|
[
[
"Garcia",
"Juan Miguel Nieto",
""
],
[
"Torrielli",
"Alessandro",
""
],
[
"Wyss",
"Leander",
""
]
] |
In this paper we find a host of boost operators for a very general choice of coproducts in AdS_3-inspired scattering theories, focusing on the massless sector, with and without an added trigonometric deformation. We find that the boost coproducts are exact symmetries of the R-matrices we construct, besides fulfilling the relations of modified Poincare' - type superalgebras. In the process, we discover an ambiguity in determining the boost coproduct which allows us to derive differential constraints on our R-matrices. In one particular case of the trigonometric deformation, we find a non-coassociative structure which satisfies the axioms of a quasi-Hopf algebra.
| 14.884753
| 15.420135
| 16.212214
| 13.910417
| 13.83337
| 13.425127
| 14.027011
| 13.870997
| 13.794753
| 16.491982
| 13.80833
| 13.820151
| 14.375436
| 14.198056
| 13.587719
| 14.009187
| 13.68609
| 13.551378
| 13.984039
| 14.521556
| 14.051386
|
1007.3243
|
Gregory Korchemsky
|
Luis F. Alday, Burkhard Eden, Gregory P. Korchemsky, Juan Maldacena,
Emery Sokatchev
|
From correlation functions to Wilson loops
|
37 pages, 10 figures; typos corrected, references added
| null |
10.1007/JHEP09(2011)123
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We start with an n-point correlation function in a conformal gauge theory. We
show that a special limit produces a polygonal Wilson loop with $n$ sides. The
limit takes the $n$ points towards the vertices of a null polygonal Wilson loop
such that successive distances $x^2_{i,i+1} \to 0$. This produces a fast moving
particle that generates a "frame" for the Wilson loop. We explain in detail how
the limit is approached, including some subtle effects from the propagation of
a fast moving particle in the full interacting theory. We perform perturbative
checks by doing explicit computations in N=4 super-Yang-Mills.
|
[
{
"created": "Mon, 19 Jul 2010 18:56:47 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Aug 2010 18:15:01 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Sep 2011 09:33:34 GMT",
"version": "v3"
}
] |
2015-05-19
|
[
[
"Alday",
"Luis F.",
""
],
[
"Eden",
"Burkhard",
""
],
[
"Korchemsky",
"Gregory P.",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Sokatchev",
"Emery",
""
]
] |
We start with an n-point correlation function in a conformal gauge theory. We show that a special limit produces a polygonal Wilson loop with $n$ sides. The limit takes the $n$ points towards the vertices of a null polygonal Wilson loop such that successive distances $x^2_{i,i+1} \to 0$. This produces a fast moving particle that generates a "frame" for the Wilson loop. We explain in detail how the limit is approached, including some subtle effects from the propagation of a fast moving particle in the full interacting theory. We perform perturbative checks by doing explicit computations in N=4 super-Yang-Mills.
| 11.881207
| 11.918826
| 11.963575
| 10.892491
| 10.634955
| 10.854716
| 10.949373
| 11.002456
| 9.354856
| 14.534611
| 10.201075
| 10.847454
| 11.346253
| 10.754537
| 11.042919
| 11.190855
| 10.766915
| 10.575744
| 10.599716
| 11.508718
| 10.515097
|
hep-th/9405070
|
Dean Welch
|
Dean L. Welch
|
Timelike Duality
|
16 pages, UCSBTH-94-15
|
Phys. Rev. D 50, 6404 (1994)
|
10.1103/PhysRevD.50.6404
| null |
hep-th
| null |
Several stationary solutions of the low energy string equations are dualized
with respect to their timelike symmetry. Many of the duals have simple physical
interpretations. Those of the nonextremal three dimensional black hole and
black string are negative mass black strings. The extremal cases of these, and
extremal higher dimensional black strings also, give negative energy plane
fronted waves. In fact, all of the duals of positive mass solutions that will
be considered here have nonpositive energies, but an argument is given which
suggests that this is not true in general.
|
[
{
"created": "Tue, 10 May 1994 19:44:08 GMT",
"version": "v1"
}
] |
2013-11-13
|
[
[
"Welch",
"Dean L.",
""
]
] |
Several stationary solutions of the low energy string equations are dualized with respect to their timelike symmetry. Many of the duals have simple physical interpretations. Those of the nonextremal three dimensional black hole and black string are negative mass black strings. The extremal cases of these, and extremal higher dimensional black strings also, give negative energy plane fronted waves. In fact, all of the duals of positive mass solutions that will be considered here have nonpositive energies, but an argument is given which suggests that this is not true in general.
| 14.197426
| 12.932579
| 13.830867
| 11.840314
| 14.479624
| 12.788235
| 12.201793
| 12.778229
| 13.976363
| 12.916786
| 12.179921
| 12.347932
| 12.447606
| 11.763173
| 11.873779
| 12.477532
| 11.546219
| 11.842869
| 12.110665
| 12.331303
| 12.319649
|
hep-th/0408123
|
Steven Carlip
|
S. Carlip
|
Horizon Constraints and Black Hole Entropy
|
11 pages, LaTeX, 1 figure; v2: slightly expanded, minor corrections,
new appendix on stretched horizon; v3: new comment on cutoff-dependence of
central charge, minor rewording
|
Class.Quant.Grav.22:1303-1312,2005
|
10.1088/0264-9381/22/7/007
|
UCD-04-23
|
hep-th gr-qc
| null |
To ask a question about a black hole in quantum gravity, one must restrict
initial or boundary data to ensure that a black hole is actually present. For
two-dimensional dilaton gravity, and probably a much wider class of theories, I
show that the imposition of a spacelike ``stretched horizon'' constraint
modifies the algebra of symmetries, inducing a central term. Standard conformal
field theory techniques then fix the asymptotic density of states, reproducing
the Bekenstein-Hawking entropy. The states responsible for black hole entropy
can thus be viewed as ``would-be gauge'' states that become physical because
the symmetries are altered.
|
[
{
"created": "Mon, 16 Aug 2004 20:00:50 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jan 2005 21:17:39 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Feb 2005 00:10:00 GMT",
"version": "v3"
}
] |
2010-04-28
|
[
[
"Carlip",
"S.",
""
]
] |
To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories, I show that the imposition of a spacelike ``stretched horizon'' constraint modifies the algebra of symmetries, inducing a central term. Standard conformal field theory techniques then fix the asymptotic density of states, reproducing the Bekenstein-Hawking entropy. The states responsible for black hole entropy can thus be viewed as ``would-be gauge'' states that become physical because the symmetries are altered.
| 11.035864
| 9.195989
| 7.985586
| 7.330573
| 9.326825
| 9.090432
| 9.427992
| 9.429665
| 9.076297
| 9.595741
| 9.814818
| 9.492669
| 8.767314
| 8.936943
| 8.969846
| 9.118077
| 9.207664
| 9.118808
| 8.941562
| 9.739521
| 9.502677
|
hep-th/0304185
|
Ufuk Kayserilioglu
|
M. Arik, U. Kayserilioglu
|
Quantum invariance group of bosons and fermions
|
5 A4 pages
| null | null | null |
hep-th
| null |
The particle algebras generated by the creation/annihilation operators for
bosons and for fermions are shown to possess quantum invariance groups. These
structures and their sub(quantum)groups are investigated.
|
[
{
"created": "Tue, 22 Apr 2003 09:47:03 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Arik",
"M.",
""
],
[
"Kayserilioglu",
"U.",
""
]
] |
The particle algebras generated by the creation/annihilation operators for bosons and for fermions are shown to possess quantum invariance groups. These structures and their sub(quantum)groups are investigated.
| 15.137892
| 11.909043
| 12.345808
| 11.106177
| 12.487913
| 11.877163
| 10.802852
| 13.198953
| 10.901697
| 16.912903
| 11.466348
| 11.698708
| 14.330618
| 12.839952
| 11.895692
| 12.313026
| 12.556592
| 11.913325
| 12.523701
| 13.345265
| 12.513813
|
2204.09286
|
Ji Hoon Lee
|
Ji Hoon Lee
|
Exact Stringy Microstates from Gauge Theories
|
37+appendix; v2, v3: minor revisions and clarifications, references
added
|
JHEP 11(2022)137
|
10.1007/JHEP11(2022)137
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study how the microstates of BPS sectors in string theory are organized in
the dual $U(N)$ gauge theory. The microstates take the form of a coherent sum
of stacks of branes and their open/closed string excitations. We propose a
prescription to holographically construct the indices of string/brane
configurations by analyzing the modifications of determinant operators in gauge
theory. The string/brane configurations should be interpreted in the
tensionless limit, but their indices are well-defined at finite $N$. In various
examples, we provide evidence that a sum, of the giant graviton-type recently
proposed in the literature, over all such configurations gives the finite $N$
gauge theory index. Finally, we discuss how these microstates assemble in the
BPS Hilbert space and in what circumstances the branes can form bound states to
produce black hole degeneracies.
|
[
{
"created": "Wed, 20 Apr 2022 08:10:03 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2022 05:32:45 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Nov 2022 13:56:37 GMT",
"version": "v3"
}
] |
2022-11-29
|
[
[
"Lee",
"Ji Hoon",
""
]
] |
We study how the microstates of BPS sectors in string theory are organized in the dual $U(N)$ gauge theory. The microstates take the form of a coherent sum of stacks of branes and their open/closed string excitations. We propose a prescription to holographically construct the indices of string/brane configurations by analyzing the modifications of determinant operators in gauge theory. The string/brane configurations should be interpreted in the tensionless limit, but their indices are well-defined at finite $N$. In various examples, we provide evidence that a sum, of the giant graviton-type recently proposed in the literature, over all such configurations gives the finite $N$ gauge theory index. Finally, we discuss how these microstates assemble in the BPS Hilbert space and in what circumstances the branes can form bound states to produce black hole degeneracies.
| 12.934629
| 13.73772
| 15.40247
| 12.650046
| 14.468025
| 13.287869
| 13.629499
| 13.203529
| 12.70496
| 16.294514
| 12.113808
| 12.686063
| 13.853005
| 12.312446
| 12.692941
| 12.903775
| 12.632207
| 12.498207
| 12.447917
| 13.314775
| 12.462732
|
2201.02106
|
John Clayton Taylor
|
A Andrasi, J C Taylor
|
Generating functions for anti-canonical transformations in the
Zinn-Justin and Batalin and Vilkoviski formalisms
| null | null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
Quantization of gauge fields by the BRST method requires sources in addition
to fields, and a bilinear anti-bracket defined in terms of them. This bracket
is a sort of generalization of a Poisson bracket in classical mechanics.
Canonical transformations are also generalized as anti-canonical
transformations. In this paper, we take the analogy with classical mechanics
one step further, by showing how anti-canonical transformations can be derived
from generating functions. We give an example relevant to the renormalization
of QCD in the Hamiltonian formalism.
|
[
{
"created": "Thu, 6 Jan 2022 15:42:33 GMT",
"version": "v1"
}
] |
2022-01-07
|
[
[
"Andrasi",
"A",
""
],
[
"Taylor",
"J C",
""
]
] |
Quantization of gauge fields by the BRST method requires sources in addition to fields, and a bilinear anti-bracket defined in terms of them. This bracket is a sort of generalization of a Poisson bracket in classical mechanics. Canonical transformations are also generalized as anti-canonical transformations. In this paper, we take the analogy with classical mechanics one step further, by showing how anti-canonical transformations can be derived from generating functions. We give an example relevant to the renormalization of QCD in the Hamiltonian formalism.
| 9.563105
| 9.020376
| 9.74774
| 9.060143
| 8.956296
| 9.348554
| 8.997872
| 9.316042
| 8.405941
| 11.028191
| 9.061932
| 8.896149
| 9.101505
| 8.590869
| 8.81986
| 8.943434
| 8.923155
| 9.449726
| 9.155696
| 9.591455
| 9.285123
|
hep-th/0703185
|
Marc Bellon
|
Marc Bellon (CEFIMAS, LPTHE), Gustavo S. Lozano, Fidel A. Schaposnik
(CEFIMAS)
|
Higher loop renormalization of a supersymmetric field theory
|
8 pages, 2 figures
|
Phys.Lett.B650:293-297,2007
|
10.1016/j.physletb.2007.05.024
| null |
hep-th
| null |
Using Dyson--Schwinger equations within an approach developed by Broadhurst
and Kreimer and the renormalization group, we show how high loop order of the
renormalization group coefficients can be efficiently computed in a
supersymmetric model.
|
[
{
"created": "Wed, 21 Mar 2007 05:45:11 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bellon",
"Marc",
"",
"CEFIMAS, LPTHE"
],
[
"Lozano",
"Gustavo S.",
"",
"CEFIMAS"
],
[
"Schaposnik",
"Fidel A.",
"",
"CEFIMAS"
]
] |
Using Dyson--Schwinger equations within an approach developed by Broadhurst and Kreimer and the renormalization group, we show how high loop order of the renormalization group coefficients can be efficiently computed in a supersymmetric model.
| 15.621432
| 11.213178
| 11.264728
| 10.977286
| 10.784608
| 10.353495
| 11.613182
| 10.589486
| 10.970452
| 12.722185
| 10.188505
| 11.759071
| 11.426983
| 10.947648
| 10.552186
| 11.458553
| 11.026356
| 11.208773
| 11.617466
| 11.389024
| 10.70009
|
hep-th/9612009
|
David Adams
|
David H. Adams
|
R-torsion and linking numbers from simplicial abelian gauge theories
|
48 pages, latex, 9 figures (drawn in xfig)
| null | null | null |
hep-th dg-ga hep-lat math.DG math.QA q-alg
| null |
Simplicial versions of topological abelian gauge theories are constructed
which reproduce the continuum expressions for the partition function and Wilson
expectation value of linked loops, expressible in terms of R-torsion and
linking numbers respectively. The new feature which makes this possible is the
introduction of simplicial fields (cochains) associated with the dual
triangulation of the background manifold, as well as with the triangulation
itself. This doubling of fields, reminiscent of lattice fermion doubling, is
required because the natural simplicial analogue of the Hodge star operator
maps between cochains of a triangulation and cochains of the dual
triangulation. The simplicial analogue of Hodge-de Rham theory is developed,
along with a natural simplicial framework for considering linking numbers of
framed loops. When the loops represent torsion elements of the homology of the
manifold then Q/Z-valued torsion pairings appear in place of linking numbers
for certain discrete values of the coupling parameter of the theory.
|
[
{
"created": "Sun, 1 Dec 1996 14:25:48 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Adams",
"David H.",
""
]
] |
Simplicial versions of topological abelian gauge theories are constructed which reproduce the continuum expressions for the partition function and Wilson expectation value of linked loops, expressible in terms of R-torsion and linking numbers respectively. The new feature which makes this possible is the introduction of simplicial fields (cochains) associated with the dual triangulation of the background manifold, as well as with the triangulation itself. This doubling of fields, reminiscent of lattice fermion doubling, is required because the natural simplicial analogue of the Hodge star operator maps between cochains of a triangulation and cochains of the dual triangulation. The simplicial analogue of Hodge-de Rham theory is developed, along with a natural simplicial framework for considering linking numbers of framed loops. When the loops represent torsion elements of the homology of the manifold then Q/Z-valued torsion pairings appear in place of linking numbers for certain discrete values of the coupling parameter of the theory.
| 9.679652
| 9.47454
| 9.820696
| 9.158228
| 10.015476
| 10.00295
| 9.878139
| 9.333561
| 9.242143
| 12.146079
| 9.233731
| 9.149385
| 9.158111
| 8.963543
| 9.102287
| 8.968106
| 9.050325
| 9.083394
| 9.108839
| 9.377741
| 8.850632
|
hep-th/0103111
|
Wolfgang Mueck
|
Jussi Kalkkinen, Dario Martelli, Wolfgang Mueck
|
Holographic Renormalisation and Anomalies
|
17 pages
|
JHEP 0104:036,2001
|
10.1088/1126-6708/2001/04/036
| null |
hep-th
| null |
The Weyl anomaly in the Holographic Renormalisation Group as implemented
using Hamilton-Jacobi language is studied in detail. We investigate the
breakdown of the descent equations in order to isolate the Weyl anomaly of the
dual field theory close to the (UV) fixed point. We use the freedom of adding
finite terms to the renormalised effective action in order to bring the
anomalies in the expected form. We comment on different ways of describing the
bare and renormalised schemes, and on possible interpretations of the descent
equations as describing the renormalisation group flow non-perturbatively. We
find that under suitable assumptions these relations may lead to a class of
c-functions.
|
[
{
"created": "Wed, 14 Mar 2001 17:21:07 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Kalkkinen",
"Jussi",
""
],
[
"Martelli",
"Dario",
""
],
[
"Mueck",
"Wolfgang",
""
]
] |
The Weyl anomaly in the Holographic Renormalisation Group as implemented using Hamilton-Jacobi language is studied in detail. We investigate the breakdown of the descent equations in order to isolate the Weyl anomaly of the dual field theory close to the (UV) fixed point. We use the freedom of adding finite terms to the renormalised effective action in order to bring the anomalies in the expected form. We comment on different ways of describing the bare and renormalised schemes, and on possible interpretations of the descent equations as describing the renormalisation group flow non-perturbatively. We find that under suitable assumptions these relations may lead to a class of c-functions.
| 12.106832
| 12.057415
| 13.485101
| 11.787724
| 12.237957
| 12.060433
| 11.690914
| 12.326882
| 11.398744
| 14.616703
| 11.399146
| 11.043151
| 11.674965
| 11.264572
| 11.352537
| 11.573285
| 11.206219
| 11.287472
| 11.343708
| 11.839284
| 11.229479
|
2404.02197
|
Javier Matulich
|
Adrien Fiorucci, Javier Matulich, Romain Ruzziconi
|
Superrotations at Spacelike Infinity
|
13 pages, 1 figure
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We propose a consistent set of boundary conditions for gravity in
asymptotically flat spacetime at spacelike infinity, which yields an
enhancement of the Bondi-Metzner-Sachs group with smooth superrotations and new
subleading symmetries. These boundary conditions are obtained by allowing
fluctuations of the boundary structure which are responsible for divergences in
the symplectic form, and a renormalisation procedure is required to obtain
finite canonical generators. The latter are then made integrable by
incorporating boundary terms into the symplectic structure, which naturally
derive from a linearised spin-two boundary field on a curved background with
positive cosmological constant. Finally, we show that the canonical generators
form a non-linear algebra under the Poisson bracket and verify the consistency
of this structure with the Jacobi identity.
|
[
{
"created": "Tue, 2 Apr 2024 18:00:02 GMT",
"version": "v1"
}
] |
2024-04-04
|
[
[
"Fiorucci",
"Adrien",
""
],
[
"Matulich",
"Javier",
""
],
[
"Ruzziconi",
"Romain",
""
]
] |
We propose a consistent set of boundary conditions for gravity in asymptotically flat spacetime at spacelike infinity, which yields an enhancement of the Bondi-Metzner-Sachs group with smooth superrotations and new subleading symmetries. These boundary conditions are obtained by allowing fluctuations of the boundary structure which are responsible for divergences in the symplectic form, and a renormalisation procedure is required to obtain finite canonical generators. The latter are then made integrable by incorporating boundary terms into the symplectic structure, which naturally derive from a linearised spin-two boundary field on a curved background with positive cosmological constant. Finally, we show that the canonical generators form a non-linear algebra under the Poisson bracket and verify the consistency of this structure with the Jacobi identity.
| 11.199142
| 10.425622
| 11.210481
| 9.656887
| 9.69325
| 10.382761
| 10.530895
| 9.612681
| 9.846202
| 11.841539
| 9.981242
| 10.494025
| 10.457138
| 10.451338
| 10.412605
| 10.18403
| 10.459492
| 10.349041
| 10.308638
| 10.23262
| 10.23626
|
hep-th/9907182
|
Sergei Shabanov
|
Sergei V. Shabanov (LPTHE, Univ. of Paris VI)
|
Yang-Mills theory as an Abelian theory without gauge fixing
|
plain Latex, 12 pages, no figures
|
Phys.Lett. B463 (1999) 263-272
|
10.1016/S0370-2693(99)01024-2
| null |
hep-th hep-lat
| null |
A general procedure to reveal an Abelian structure of Yang-Mills theories by
means of a (nonlocal) change of variables, rather than by gauge fixing, in the
space of connections is proposed. The Abelian gauge group is isomorphic to the
maximal Abelian subgroup of the Yang-Mills gauge group, but not its subgroup. A
Maxwell field of the Abelian theory contains topological degrees of freedom of
original Yang-Mills fields which generate monopole-like and flux-like defects
upon an Abelian projection. 't Hooft's conjecture that ``monopole'' dynamics is
projection independent is proved for a special class of Abelian projections. A
partial duality and a dynamical regime in which the theory may have massive
excitations being knot-like solitons are discussed.
|
[
{
"created": "Sat, 24 Jul 1999 11:21:18 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Shabanov",
"Sergei V.",
"",
"LPTHE, Univ. of Paris VI"
]
] |
A general procedure to reveal an Abelian structure of Yang-Mills theories by means of a (nonlocal) change of variables, rather than by gauge fixing, in the space of connections is proposed. The Abelian gauge group is isomorphic to the maximal Abelian subgroup of the Yang-Mills gauge group, but not its subgroup. A Maxwell field of the Abelian theory contains topological degrees of freedom of original Yang-Mills fields which generate monopole-like and flux-like defects upon an Abelian projection. 't Hooft's conjecture that ``monopole'' dynamics is projection independent is proved for a special class of Abelian projections. A partial duality and a dynamical regime in which the theory may have massive excitations being knot-like solitons are discussed.
| 13.216496
| 12.855964
| 13.292335
| 11.938597
| 13.522724
| 13.196235
| 13.060382
| 12.35504
| 11.698693
| 13.98004
| 11.636174
| 12.026646
| 11.826817
| 11.789979
| 12.019857
| 12.359153
| 11.954491
| 11.990229
| 11.862028
| 12.116288
| 12.095606
|
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