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2.01k
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| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
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float64 2.91
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| perplexity_s8-L-3.1-8B-base
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1612.02014
|
Paul M. Saffin
|
Paul M. Saffin
|
Recrudescence of massive fermion production by oscillons
|
6 pages, 2 figures. Included new data, and references. Version
accepted for publication in JHEP
| null |
10.1007/JHEP07(2017)126
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this letter we bring together the physics of preheating, following a
period of inflation, and the dynamics of non-topological solitons, namely
oscillons. We show that the oscillating condensate that makes up an oscillon
can be an efficient engine for producing heavy fermions, just as a homogeneous
condensate is known for doing the same. This then allows heavy fermions to be
produced when the energy scale of the Universe has dropped below the scale
naturally associated to the fermions.
|
[
{
"created": "Tue, 6 Dec 2016 21:00:23 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jan 2017 13:37:11 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Aug 2017 10:30:56 GMT",
"version": "v3"
}
] |
2017-09-13
|
[
[
"Saffin",
"Paul M.",
""
]
] |
In this letter we bring together the physics of preheating, following a period of inflation, and the dynamics of non-topological solitons, namely oscillons. We show that the oscillating condensate that makes up an oscillon can be an efficient engine for producing heavy fermions, just as a homogeneous condensate is known for doing the same. This then allows heavy fermions to be produced when the energy scale of the Universe has dropped below the scale naturally associated to the fermions.
| 11.295032
| 10.533041
| 9.261236
| 9.651151
| 9.882203
| 10.109424
| 9.567455
| 10.253739
| 9.992087
| 10.530815
| 10.175409
| 10.077278
| 10.350807
| 9.749085
| 10.143937
| 10.470375
| 10.481899
| 10.195991
| 9.805758
| 10.348611
| 10.466828
|
0712.3686
|
J. W. van Holten
|
M.O. de Kok and J.W. van Holten
|
The fate of conformal symmetry in the non-linear Schr\"{o}dinger theory
|
22 pages, 5 figures. v3: version to be published; reference added;
imaginary part of 4-point function corrected, unitarity checked
|
Nucl.Phys.B803:363-380,2008
|
10.1016/j.nuclphysb.2008.05.018
|
NIKHEF/2007-026
|
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The free Schroedinger theory in d space dimensions is a non-relativistic
conformal field theory. The interacting non-linear theory preserves this
symmetry in specific numbers of dimensions at the classical (tree) level. This
holds in particular for the Phi^4-theory in d = 2. We compute the full quantum
corrections to the 4-point function to show that the symmetry is broken by an
anomalous contribution proportional to the exact beta-function
|
[
{
"created": "Fri, 21 Dec 2007 12:35:30 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2008 09:06:32 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Jun 2008 10:16:55 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"de Kok",
"M. O.",
""
],
[
"van Holten",
"J. W.",
""
]
] |
The free Schroedinger theory in d space dimensions is a non-relativistic conformal field theory. The interacting non-linear theory preserves this symmetry in specific numbers of dimensions at the classical (tree) level. This holds in particular for the Phi^4-theory in d = 2. We compute the full quantum corrections to the 4-point function to show that the symmetry is broken by an anomalous contribution proportional to the exact beta-function
| 12.696457
| 9.672312
| 11.302363
| 10.216938
| 9.857295
| 10.676501
| 10.244867
| 9.798705
| 9.469379
| 10.702299
| 9.917095
| 9.39914
| 10.344775
| 9.912339
| 9.902644
| 9.832174
| 9.765482
| 9.842419
| 9.725415
| 9.919957
| 9.826654
|
2306.11437
|
Yongqiang Wang
|
Chen Liang, Shi-Xian Sun, Ji-Rong Ren, Yong-Qiang Wang
|
Multi-state Dirac stars
|
26 pages, 11 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we construct the multi-state Dirac stars (MSDSs) consisting of
two pairs of Dirac fields. The two pairs of Dirac fields are in the ground
state and the first excited state, respectively. Each pair consists of two
fields with opposite spins, ensuring spherical symmetry of the system. We
discuss the solutions of the MSDSs under synchronized and nonsynchronized
frequencies. By varying the mass $\tilde{\mu}_1$ of the excited state Dirac
field and the frequency $\tilde{\omega}_0$ of the ground state Dirac field, we
obtain different types of solutions, including single-branch and double-branch
solutions. These two types of solutions do not smoothly transition into each
other as the parameters $\tilde{\mu}_1$ and $\tilde{\omega}_0$ continuously
change, but undergo a sudden transition when $\tilde{\mu}_1$
($\tilde{\omega}_0$) is greater than or less than the threshold value of
$0.7694$ ($0.733$). Furthermore, we analyze the characteristics of the various
MSDSs solutions and analyze the relationship between the ADM mass $M$ of the
MSDSs and the synchronized and nonsynchronized frequencies. Subsequently, we
calculate the binding energy $E_B$ of the MSDSs and discuss the stability of
the solutions. Finally, we discuss the feasibility of simulating the dark
matter halos using MSDSs.
|
[
{
"created": "Tue, 20 Jun 2023 10:33:28 GMT",
"version": "v1"
}
] |
2023-06-21
|
[
[
"Liang",
"Chen",
""
],
[
"Sun",
"Shi-Xian",
""
],
[
"Ren",
"Ji-Rong",
""
],
[
"Wang",
"Yong-Qiang",
""
]
] |
In this paper, we construct the multi-state Dirac stars (MSDSs) consisting of two pairs of Dirac fields. The two pairs of Dirac fields are in the ground state and the first excited state, respectively. Each pair consists of two fields with opposite spins, ensuring spherical symmetry of the system. We discuss the solutions of the MSDSs under synchronized and nonsynchronized frequencies. By varying the mass $\tilde{\mu}_1$ of the excited state Dirac field and the frequency $\tilde{\omega}_0$ of the ground state Dirac field, we obtain different types of solutions, including single-branch and double-branch solutions. These two types of solutions do not smoothly transition into each other as the parameters $\tilde{\mu}_1$ and $\tilde{\omega}_0$ continuously change, but undergo a sudden transition when $\tilde{\mu}_1$ ($\tilde{\omega}_0$) is greater than or less than the threshold value of $0.7694$ ($0.733$). Furthermore, we analyze the characteristics of the various MSDSs solutions and analyze the relationship between the ADM mass $M$ of the MSDSs and the synchronized and nonsynchronized frequencies. Subsequently, we calculate the binding energy $E_B$ of the MSDSs and discuss the stability of the solutions. Finally, we discuss the feasibility of simulating the dark matter halos using MSDSs.
| 5.257143
| 5.55458
| 4.745275
| 4.568879
| 5.234919
| 5.370042
| 5.753171
| 4.984522
| 5.262406
| 5.450495
| 5.139204
| 5.037584
| 4.844062
| 4.788977
| 4.949221
| 5.022106
| 5.03414
| 4.865839
| 4.993024
| 5.089833
| 5.086269
|
hep-th/9305068
|
Jerome Gauntlett
|
Jerome P. Gauntlett
|
Low Energy Dynamics of N=2 Supersymmetric Monopoles
|
20 pages, EFI-93-09
|
Nucl.Phys. B411 (1994) 443-460
|
10.1016/0550-3213(94)90457-X
| null |
hep-th
| null |
It is argued that the low-energy dynamics of $k$ monopoles in N=2
supersymmetric Yang-Mills theory are determined by an N=4 supersymmetric
quantum mechanics based on the moduli space of $k$ static monople solutions.
This generalises Manton's ``geodesic approximation" for studying the low-energy
dynamics of (bosonic) BPS monopoles. We discuss some aspects of the
quantisation and in particular argue that dolbeault cohomology classes of the
moduli space are related to bound states of the full quantum field theory.
|
[
{
"created": "Fri, 14 May 1993 21:32:20 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Gauntlett",
"Jerome P.",
""
]
] |
It is argued that the low-energy dynamics of $k$ monopoles in N=2 supersymmetric Yang-Mills theory are determined by an N=4 supersymmetric quantum mechanics based on the moduli space of $k$ static monople solutions. This generalises Manton's ``geodesic approximation" for studying the low-energy dynamics of (bosonic) BPS monopoles. We discuss some aspects of the quantisation and in particular argue that dolbeault cohomology classes of the moduli space are related to bound states of the full quantum field theory.
| 8.479395
| 6.894005
| 8.060042
| 7.405864
| 7.029518
| 7.305706
| 7.129592
| 6.490832
| 7.21915
| 9.871077
| 7.662159
| 7.14831
| 8.606581
| 7.654802
| 7.192882
| 7.230117
| 7.528678
| 7.161371
| 7.001316
| 8.281568
| 7.148797
|
1402.5446
|
Valeri Frolov P
|
Valeri P. Frolov
|
Information loss problem and a `black hole' model with a closed apparent
horizon
|
18 pages, 6 figures. New references added with their brief
discussion. Conformal Carter-Penrose diagram is added. Found misprints are
corrected
| null |
10.1007/JHEP05(2014)049
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a classical description the spacetime curvature inside a black hole
infinitely grows. In the domain where it reaches the Planckian value and
exceeds it the Einstein equations should be modified. In the absence of
reliable theory of quantum gravity it is instructive to consider simplified
models. We assume that a spacetime curvature is limited by some value (of the
order of the Planckian one). We use modified Vaidya metric, proposed by
Hayward, to describe the black hole evaporation process. In such a spacetime
the curvature near $r=0$ remains finite, it does not have an event horizon and
its apparent horizon is closed. If the initial mass of such a `black hole' is
much larger than the Planckian one its properties (as seen by an external
observer) are practically the same as properties of the `standard' black hole
with the event horizon. We study outgoing null rays in the vicinity of the
outer apparent and introduce a notion of quasi-horizon. We demonstrate that
particles, trapped inside a `black hole' during the evaporation process,
finally may return to external space after the evaporation is completed. We
also demonstrate that such quanta would have very large blue-shift. The absence
of the event horizon makes it possible restoration of the unitarity in
evaporating black holes.
|
[
{
"created": "Fri, 21 Feb 2014 23:20:52 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Mar 2014 23:38:04 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Apr 2014 21:05:39 GMT",
"version": "v3"
}
] |
2015-06-18
|
[
[
"Frolov",
"Valeri P.",
""
]
] |
In a classical description the spacetime curvature inside a black hole infinitely grows. In the domain where it reaches the Planckian value and exceeds it the Einstein equations should be modified. In the absence of reliable theory of quantum gravity it is instructive to consider simplified models. We assume that a spacetime curvature is limited by some value (of the order of the Planckian one). We use modified Vaidya metric, proposed by Hayward, to describe the black hole evaporation process. In such a spacetime the curvature near $r=0$ remains finite, it does not have an event horizon and its apparent horizon is closed. If the initial mass of such a `black hole' is much larger than the Planckian one its properties (as seen by an external observer) are practically the same as properties of the `standard' black hole with the event horizon. We study outgoing null rays in the vicinity of the outer apparent and introduce a notion of quasi-horizon. We demonstrate that particles, trapped inside a `black hole' during the evaporation process, finally may return to external space after the evaporation is completed. We also demonstrate that such quanta would have very large blue-shift. The absence of the event horizon makes it possible restoration of the unitarity in evaporating black holes.
| 8.994612
| 9.634212
| 8.661977
| 8.542393
| 9.23187
| 8.757161
| 9.527681
| 8.95375
| 9.286891
| 9.426473
| 9.498147
| 8.977682
| 8.69352
| 8.841436
| 8.766437
| 8.834846
| 9.103327
| 8.718345
| 8.973306
| 8.826865
| 9.086441
|
2305.01742
|
Tomas Ortin
|
Carmen Gomez-Fayren, Patrick Meessen, Tomas Ortin, Matteo Zatti
|
Wald entropy in Kaluza-Klein black holes
|
LaTeX2e file, 34 pages, no figures
| null | null |
IFT-UAM/CSIC-23-10
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the thermodynamics of the 4-dimensional electrically charged
black-hole solutions of the simplest 5-dimensional Kaluza-Klein theory using
Wald's formalism. We show how the electric work term present in the
4-dimensional first law of black-hole thermodynamics arises in the purely
gravitational 5-dimensional framework. In particular, we find an interesting
geometric interpretation of the 4-dimensional electrostatic potential similar
to the angular velocity in rotating black holes. Furthermore, we show how the
momentum map equation arises from demanding compatibility between the timelike
Killing vector of the black-hole solution and the spatial Killing vector of the
5-dimensional background.
|
[
{
"created": "Tue, 2 May 2023 19:23:50 GMT",
"version": "v1"
}
] |
2023-05-04
|
[
[
"Gomez-Fayren",
"Carmen",
""
],
[
"Meessen",
"Patrick",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Zatti",
"Matteo",
""
]
] |
We study the thermodynamics of the 4-dimensional electrically charged black-hole solutions of the simplest 5-dimensional Kaluza-Klein theory using Wald's formalism. We show how the electric work term present in the 4-dimensional first law of black-hole thermodynamics arises in the purely gravitational 5-dimensional framework. In particular, we find an interesting geometric interpretation of the 4-dimensional electrostatic potential similar to the angular velocity in rotating black holes. Furthermore, we show how the momentum map equation arises from demanding compatibility between the timelike Killing vector of the black-hole solution and the spatial Killing vector of the 5-dimensional background.
| 8.040864
| 7.941779
| 7.918392
| 7.278908
| 7.491431
| 7.076419
| 7.481406
| 7.341225
| 7.482674
| 8.604437
| 7.860401
| 8.048189
| 7.754293
| 7.621767
| 7.865879
| 7.767525
| 7.836577
| 7.781924
| 7.627741
| 7.81556
| 7.769944
|
2303.18182
|
Yiyang Jia
|
Micha Berkooz, Yiyang Jia, Navot Silberstein
|
Parisi's hypercube, Fock-space frustration and near-AdS$_2$/near-CFT$_1$
holography
|
published version
|
Phys. Rev. Lett. 132 (2024), 081601
|
10.1103/PhysRevLett.132.081601
| null |
hep-th cond-mat.dis-nn cond-mat.stat-mech cond-mat.str-el nlin.CD
|
http://creativecommons.org/licenses/by/4.0/
|
We consider a model of Parisi where a single particle hops on an
infinite-dimensional hypercube, under the influence of a uniform but disordered
magnetic flux. We reinterpret the hypercube as the Fock-space graph of a
many-body Hamiltonian and the flux as a frustration of the return amplitudes in
Fock space. We will identify the set of observables that have the same
correlation functions as the double-scaled Sachdev-Ye-Kitaev (DS-SYK) model,
and hence the hypercube model is an equally good quantum model for
near-AdS$_2$/near-CFT$_{1}$ (NAdS$_2$/NCFT$_1$) holography. Unlike the SYK
model, the hypercube Hamiltonian is not $p$ local. Instead, the SYK model can
be understood as a Fock-space model with similar frustrations. Hence we propose
this type of Fock-space frustration as the broader characterization for
NAdS$_2$/NCFT$_1$ microscopics, which encompasses the hypercube and the DS-SYK
models as two specific examples. We then speculate on the possible origin of
such frustrations.
|
[
{
"created": "Fri, 31 Mar 2023 16:24:00 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2024 13:50:59 GMT",
"version": "v2"
}
] |
2024-04-02
|
[
[
"Berkooz",
"Micha",
""
],
[
"Jia",
"Yiyang",
""
],
[
"Silberstein",
"Navot",
""
]
] |
We consider a model of Parisi where a single particle hops on an infinite-dimensional hypercube, under the influence of a uniform but disordered magnetic flux. We reinterpret the hypercube as the Fock-space graph of a many-body Hamiltonian and the flux as a frustration of the return amplitudes in Fock space. We will identify the set of observables that have the same correlation functions as the double-scaled Sachdev-Ye-Kitaev (DS-SYK) model, and hence the hypercube model is an equally good quantum model for near-AdS$_2$/near-CFT$_{1}$ (NAdS$_2$/NCFT$_1$) holography. Unlike the SYK model, the hypercube Hamiltonian is not $p$ local. Instead, the SYK model can be understood as a Fock-space model with similar frustrations. Hence we propose this type of Fock-space frustration as the broader characterization for NAdS$_2$/NCFT$_1$ microscopics, which encompasses the hypercube and the DS-SYK models as two specific examples. We then speculate on the possible origin of such frustrations.
| 9.734755
| 8.602
| 11.223502
| 8.241259
| 8.442316
| 8.384514
| 8.382391
| 8.332553
| 8.35604
| 11.928185
| 8.411624
| 9.028552
| 9.857194
| 8.88812
| 8.698624
| 8.59432
| 8.70229
| 8.953508
| 9.163709
| 10.200015
| 9.210702
|
hep-th/9510016
|
M. B. Green
|
Michael B. Green
|
Boundary Effects in String Theory
|
Talk presented at the Strings '95 Conference, USC (March 1995).
Latex, 10 pages
| null | null |
CERN-TH/95-252
|
hep-th
| null |
Some of the properties of string theory defined on world-sheets with
boundaries are reviewed. Particular emphasis is put on the possibility of
identifying string configurations (\lq D-instantons' and \lq D-branes') that
give rise to stringy non-perturbative effects.
|
[
{
"created": "Wed, 4 Oct 1995 17:09:39 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Green",
"Michael B.",
""
]
] |
Some of the properties of string theory defined on world-sheets with boundaries are reviewed. Particular emphasis is put on the possibility of identifying string configurations (\lq D-instantons' and \lq D-branes') that give rise to stringy non-perturbative effects.
| 11.592052
| 7.867912
| 9.436838
| 9.318448
| 7.953975
| 9.627796
| 7.72779
| 8.188264
| 7.999754
| 11.09166
| 8.884682
| 8.418694
| 9.364972
| 7.937647
| 8.360667
| 8.029753
| 8.265304
| 8.500007
| 8.364412
| 9.404129
| 8.226378
|
1901.08563
|
Mao Zeng
|
Samuel Abreu, Lance J. Dixon, Enrico Herrmann, Ben Page, Mao Zeng
|
The two-loop five-point amplitude in $\mathcal N=8$ supergravity
|
50 pages, 4 figures. v2: final journal version
|
JHEP 03 (2019) 123
|
10.1007/JHEP03(2019)123
|
CP3-19-06, IPhT-19/003, SLAC-PUB-17377, HU-EP-19/01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the symbol of the two-loop five-point amplitude in $\mathcal N=8$
supergravity. We write an ansatz for the amplitude whose rational prefactors
are based on not only 4-dimensional leading singularities, but also
$d$-dimensional ones, as the former are insufficient. Our novel $d$-dimensional
unitarity-based approach to the systematic construction of an amplitude's
rational structures is likely to have broader applications, for example to
analogous QCD calculations. We fix parameters in the ansatz by performing
numerical integration-by-parts reduction of the known integrand. We find that
the two-loop five-point $\mathcal N=8$ supergravity amplitude is uniformly
transcendental. We then verify the soft and collinear limits of the amplitude.
There is considerable similarity with the corresponding amplitude for $\mathcal
N=4$ super-Yang-Mills theory: all the rational prefactors are double copies of
the Yang-Mills ones and the transcendental functions overlap to a large degree.
As a byproduct, we find new relations between color-ordered loop amplitudes in
$\mathcal N=4$ super-Yang-Mills theory.
|
[
{
"created": "Thu, 24 Jan 2019 18:31:13 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Mar 2019 12:53:43 GMT",
"version": "v2"
}
] |
2019-03-27
|
[
[
"Abreu",
"Samuel",
""
],
[
"Dixon",
"Lance J.",
""
],
[
"Herrmann",
"Enrico",
""
],
[
"Page",
"Ben",
""
],
[
"Zeng",
"Mao",
""
]
] |
We compute the symbol of the two-loop five-point amplitude in $\mathcal N=8$ supergravity. We write an ansatz for the amplitude whose rational prefactors are based on not only 4-dimensional leading singularities, but also $d$-dimensional ones, as the former are insufficient. Our novel $d$-dimensional unitarity-based approach to the systematic construction of an amplitude's rational structures is likely to have broader applications, for example to analogous QCD calculations. We fix parameters in the ansatz by performing numerical integration-by-parts reduction of the known integrand. We find that the two-loop five-point $\mathcal N=8$ supergravity amplitude is uniformly transcendental. We then verify the soft and collinear limits of the amplitude. There is considerable similarity with the corresponding amplitude for $\mathcal N=4$ super-Yang-Mills theory: all the rational prefactors are double copies of the Yang-Mills ones and the transcendental functions overlap to a large degree. As a byproduct, we find new relations between color-ordered loop amplitudes in $\mathcal N=4$ super-Yang-Mills theory.
| 7.057003
| 7.365137
| 7.127418
| 6.702832
| 6.802339
| 6.980262
| 7.051633
| 7.140571
| 6.919067
| 7.544895
| 6.840368
| 6.635898
| 7.010461
| 6.649881
| 6.893216
| 6.846167
| 6.825119
| 6.75205
| 6.614881
| 6.971281
| 6.752095
|
1412.6772
|
Andrea Quadri
|
Andrea Quadri
|
Canonical Flow in the Space of Gauge Parameters
|
13 pages. To appear in Theoretical and Mathematical Physics
| null |
10.1007/s11232-015-0246-6
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gauge dependence of one-particle irreducible (1-PI) amplitudes in SU(N)
Yang-Mills theory is shown to be generated by a canonical flow with respect to
(w.r.t.) the extended Slavnov-Taylor (ST) identity, induced by the
transformation of the gauge parameter under the BRST symmetry. For linear
covariant gauges, the analytic expansion in the gauge parameter of 1-PI
amplitudes is given in terms of coefficients evaluated in the Landau gauge and
of derivatives w.r.t. the gauge parameter of the generating functional of the
flow. An application to the gauge flow of the gluon propagator is considered.
|
[
{
"created": "Sun, 21 Dec 2014 12:15:24 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Quadri",
"Andrea",
""
]
] |
Gauge dependence of one-particle irreducible (1-PI) amplitudes in SU(N) Yang-Mills theory is shown to be generated by a canonical flow with respect to (w.r.t.) the extended Slavnov-Taylor (ST) identity, induced by the transformation of the gauge parameter under the BRST symmetry. For linear covariant gauges, the analytic expansion in the gauge parameter of 1-PI amplitudes is given in terms of coefficients evaluated in the Landau gauge and of derivatives w.r.t. the gauge parameter of the generating functional of the flow. An application to the gauge flow of the gluon propagator is considered.
| 6.666585
| 6.05561
| 6.058373
| 5.949756
| 6.865487
| 6.230909
| 6.6225
| 6.013476
| 5.918492
| 7.042435
| 6.025527
| 5.64245
| 5.833431
| 6.052529
| 5.737736
| 6.002481
| 6.207416
| 5.973602
| 5.763024
| 5.793246
| 5.860802
|
0912.4928
|
Zeng Huabi
|
Hua-Bi Zeng, Zhe-Yong Fan, and Hong-Shi Zong
|
Superconducting Coherence Length and Magnetic Penetration Depth of a
p-wave Holographic Superconductor
|
9 pages, 0 figures, three references added,accepted by PRD
|
Phys.Rev.D81:106001,2010
|
10.1103/PhysRevD.81.106001
| null |
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A classical SU(2) Einstein-Yang-Mills theory in 3+1 dimensional anti-de
Sitter spacetime is believed to be dual to a p-wave superconductor in 2+1
dimensional flat spacetime. In order to calculate the superconductiong
coherence length $\xi$ of the holographic superconductor near the
superconducting phase transition point, we study the perturbation of the
gravity theory analytically. The superconductiong coherence length $\xi$ is
found to be proportional to $(1-T/T_c)^{-1/2}$ near the critical temperature
$T_c$. We also obtain the magnetic penetration depth
$\lambda\propto(T_c-T)^{1/2}$ by adding a small external homogeneous magnetic
field. The results agree with the Ginzburg-Landau theory.
|
[
{
"created": "Fri, 25 Dec 2009 00:35:38 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2010 10:58:18 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Mar 2010 06:49:58 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Apr 2010 13:23:35 GMT",
"version": "v4"
}
] |
2010-05-19
|
[
[
"Zeng",
"Hua-Bi",
""
],
[
"Fan",
"Zhe-Yong",
""
],
[
"Zong",
"Hong-Shi",
""
]
] |
A classical SU(2) Einstein-Yang-Mills theory in 3+1 dimensional anti-de Sitter spacetime is believed to be dual to a p-wave superconductor in 2+1 dimensional flat spacetime. In order to calculate the superconductiong coherence length $\xi$ of the holographic superconductor near the superconducting phase transition point, we study the perturbation of the gravity theory analytically. The superconductiong coherence length $\xi$ is found to be proportional to $(1-T/T_c)^{-1/2}$ near the critical temperature $T_c$. We also obtain the magnetic penetration depth $\lambda\propto(T_c-T)^{1/2}$ by adding a small external homogeneous magnetic field. The results agree with the Ginzburg-Landau theory.
| 4.673225
| 3.533468
| 4.512539
| 3.96698
| 3.86089
| 3.831185
| 3.751177
| 3.862264
| 3.689578
| 4.805494
| 4.037569
| 4.1768
| 4.456194
| 4.195339
| 4.15273
| 4.122226
| 4.292556
| 3.917114
| 3.983593
| 4.29018
| 4.143116
|
1111.0153
|
Pradip Mukherjee
|
Pradip Mukherjee, Biswajit Paul
|
Gauge invariances of higher derivative Maxwell-Chern-Simons field theory
-- a new Hamiltonian approach
|
16 pages, no figure. Title and abstract modified, new references
added. This version to appear in Phys. Rev. D
| null |
10.1103/PhysRevD.85.045028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new method of abstracting the independent gauge invariances of higher
derivative systems, recently introduced in [1], has been applied to higher
derivative field theories. This has been discussed taking the extended
Maxwell-Chern-Simons model as an example. A new Hamiltonian analysis of the
model is provided. This Hamiltonian analysis has been used to construct the
independent gauge generator. An exact mapping between the Hamiltonian gauge
transformations and the U(1) symmetries of the action has been established.
|
[
{
"created": "Tue, 1 Nov 2011 09:28:18 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jan 2012 14:26:56 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Mukherjee",
"Pradip",
""
],
[
"Paul",
"Biswajit",
""
]
] |
A new method of abstracting the independent gauge invariances of higher derivative systems, recently introduced in [1], has been applied to higher derivative field theories. This has been discussed taking the extended Maxwell-Chern-Simons model as an example. A new Hamiltonian analysis of the model is provided. This Hamiltonian analysis has been used to construct the independent gauge generator. An exact mapping between the Hamiltonian gauge transformations and the U(1) symmetries of the action has been established.
| 10.35021
| 9.584499
| 9.796817
| 9.09794
| 9.033883
| 9.542292
| 9.15774
| 9.222182
| 9.557812
| 9.28361
| 9.283103
| 9.325502
| 9.59201
| 9.275617
| 8.969406
| 9.411981
| 9.276252
| 9.390985
| 9.26058
| 9.447521
| 9.657393
|
hep-th/9312008
|
Arnd-Zapletal
|
M. Karowski and A. Zapletal
|
Quantum Group Invariant Integrable n-State Vertex Models with Periodic
Boundary Conditions
|
19 pages
|
Nucl.Phys. B419 (1994) 567-588
|
10.1016/0550-3213(94)90345-X
|
SFB 288 preprint
|
hep-th math.QA
| null |
An $U_q(sl(n))$ invariant transfer matrix with periodic boundary conditions
is analysed by means of the algebraic nested Bethe ansatz for the case of $q$
being a root of unity. The transfer matrix corresponds to a 2-dimensional
vertex model on a torus with topological interaction w.r.t. the 3-dimensional
interior of the torus. By means of finite size analysis we find the central
charge of the corresponding Virasoro algebra as $c=(n-1)
\left[1-n(n+1)/(r(r-1))\right] $.
|
[
{
"created": "Thu, 2 Dec 1993 11:51:54 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Karowski",
"M.",
""
],
[
"Zapletal",
"A.",
""
]
] |
An $U_q(sl(n))$ invariant transfer matrix with periodic boundary conditions is analysed by means of the algebraic nested Bethe ansatz for the case of $q$ being a root of unity. The transfer matrix corresponds to a 2-dimensional vertex model on a torus with topological interaction w.r.t. the 3-dimensional interior of the torus. By means of finite size analysis we find the central charge of the corresponding Virasoro algebra as $c=(n-1) \left[1-n(n+1)/(r(r-1))\right] $.
| 8.19226
| 7.591888
| 7.470631
| 7.27493
| 7.932197
| 8.947211
| 8.032088
| 7.351362
| 7.403587
| 9.901209
| 7.361104
| 7.234079
| 7.568523
| 7.186133
| 7.134948
| 7.305134
| 7.109287
| 7.208277
| 7.215433
| 7.860964
| 7.150556
|
2101.04018
|
Pablo Le\'on
|
M.P. Garcia del Moral, P. Leon, A. Restuccia
|
The Massive Supermembrane on a Knot
|
25 pages, 5 figures
| null |
10.1007/JHEP10(2021)212
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain the Hamiltonian formulation of the 11D Supermembrane theory
non-trivially compactified on a twice-punctured torus times a 9D Minkowski
space-time. It corresponds to a M2-brane formulated in 11D space with ten
non-compact dimensions. The critical points like the poles and the zeros of the
fields describing the embedding of the Supermembrane in the target space are
treated rigorously. The non-trivial compactification generates non-trivial mass
terms appearing in the bosonic potential, which dominate the full
supersymmetric potential and should render the spectrum of the (regularized)
Supermembrane discrete with finite multiplicity. The behaviour of the fields
around the punctures generates a cosmological term in the Hamiltonian of the
theory.
The massive supermembrane can also be seen as a nontrivial uplift of a
supermembrane torus bundle with parabolic monodromy in $M_9\times T^2$. The
moduli of the theory is the one associated with the punctured torus, hence it
keeps all the nontriviality of the torus moduli even after the
decompactification process to ten noncompact dimensions. The formulation of the
theory on a punctured torus bundle is characterized by the $(1,1)-Knots$
associated with the monodromies.
|
[
{
"created": "Mon, 11 Jan 2021 16:44:42 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jan 2021 22:11:20 GMT",
"version": "v2"
},
{
"created": "Sun, 2 May 2021 22:21:40 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Oct 2021 20:58:16 GMT",
"version": "v4"
}
] |
2021-11-10
|
[
[
"del Moral",
"M. P. Garcia",
""
],
[
"Leon",
"P.",
""
],
[
"Restuccia",
"A.",
""
]
] |
We obtain the Hamiltonian formulation of the 11D Supermembrane theory non-trivially compactified on a twice-punctured torus times a 9D Minkowski space-time. It corresponds to a M2-brane formulated in 11D space with ten non-compact dimensions. The critical points like the poles and the zeros of the fields describing the embedding of the Supermembrane in the target space are treated rigorously. The non-trivial compactification generates non-trivial mass terms appearing in the bosonic potential, which dominate the full supersymmetric potential and should render the spectrum of the (regularized) Supermembrane discrete with finite multiplicity. The behaviour of the fields around the punctures generates a cosmological term in the Hamiltonian of the theory. The massive supermembrane can also be seen as a nontrivial uplift of a supermembrane torus bundle with parabolic monodromy in $M_9\times T^2$. The moduli of the theory is the one associated with the punctured torus, hence it keeps all the nontriviality of the torus moduli even after the decompactification process to ten noncompact dimensions. The formulation of the theory on a punctured torus bundle is characterized by the $(1,1)-Knots$ associated with the monodromies.
| 10.929152
| 10.362358
| 12.657235
| 10.563065
| 10.881195
| 10.738655
| 10.786254
| 10.8742
| 9.9956
| 13.828098
| 10.197916
| 10.531157
| 11.470791
| 10.737481
| 10.737557
| 10.925132
| 10.381783
| 10.786532
| 10.583681
| 11.433736
| 10.682698
|
hep-th/0605163
|
Yastoshi Takayama
|
Goro Ishiki, Yastoshi Takayama, Asato Tsuchiya
|
N=4 SYM on R x S^3 and Theories with 16 Supercharges
|
68 pages, 12 figures, v2,v3:typos corrected and comments added. To
appear in JHEP
|
JHEP0610:007,2006
|
10.1088/1126-6708/2006/10/007
|
OU-HET 560
|
hep-th
| null |
We study N=4 SYM on R x S^3 and theories with 16 supercharges arising as its
consistent truncations. These theories include the plane wave matrix model, N=4
SYM on R x S^2 and N=4 SYM on R x S^3/Z_k, and their gravity duals were studied
by Lin and Maldacena. We make a harmonic expansion of the original N=4 SYM on R
x S^3 and obtain each of the truncated theories by keeping a part of the
Kaluza-Klein modes. This enables us to analyze all the theories in a unified
way. We explicitly construct some nontrivial vacua of N=4 SYM on R x S^2. We
perform 1-loop analysis of the original and truncated theories. In particular,
we examine states regarded as the integrable SO(6) spin chain and a
time-dependent BPS solution, which is considered to correspond to the AdS giant
graviton in the original theory.
|
[
{
"created": "Wed, 17 May 2006 08:23:30 GMT",
"version": "v1"
},
{
"created": "Fri, 26 May 2006 06:27:02 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Aug 2006 07:51:08 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Ishiki",
"Goro",
""
],
[
"Takayama",
"Yastoshi",
""
],
[
"Tsuchiya",
"Asato",
""
]
] |
We study N=4 SYM on R x S^3 and theories with 16 supercharges arising as its consistent truncations. These theories include the plane wave matrix model, N=4 SYM on R x S^2 and N=4 SYM on R x S^3/Z_k, and their gravity duals were studied by Lin and Maldacena. We make a harmonic expansion of the original N=4 SYM on R x S^3 and obtain each of the truncated theories by keeping a part of the Kaluza-Klein modes. This enables us to analyze all the theories in a unified way. We explicitly construct some nontrivial vacua of N=4 SYM on R x S^2. We perform 1-loop analysis of the original and truncated theories. In particular, we examine states regarded as the integrable SO(6) spin chain and a time-dependent BPS solution, which is considered to correspond to the AdS giant graviton in the original theory.
| 6.692222
| 6.118063
| 7.257041
| 5.891123
| 6.404301
| 6.175172
| 6.082383
| 6.109001
| 6.027684
| 7.78978
| 6.199076
| 6.363179
| 6.912668
| 6.25233
| 6.265559
| 6.395328
| 6.178964
| 6.283139
| 6.172205
| 6.896407
| 6.29107
|
hep-th/0406201
|
Bodo Geyer
|
Bodo Geyer, Peter Lavrov and Armen Nersessian
|
A note on the supersymplectic structure of triplextic formalism
|
6 pages, Latex
| null | null | null |
hep-th
| null |
We equip the whole space of fields of the triplectic formalism of Lagrangian
quantization with an even supersymplectic structure and clarify its geometric
meaning. We also discuss its relation to a closed two-form arising naturally in
the superfield approach to the triplectic formalism.
|
[
{
"created": "Wed, 23 Jun 2004 06:58:12 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Geyer",
"Bodo",
""
],
[
"Lavrov",
"Peter",
""
],
[
"Nersessian",
"Armen",
""
]
] |
We equip the whole space of fields of the triplectic formalism of Lagrangian quantization with an even supersymplectic structure and clarify its geometric meaning. We also discuss its relation to a closed two-form arising naturally in the superfield approach to the triplectic formalism.
| 16.132265
| 11.071053
| 16.874868
| 11.953351
| 11.568312
| 10.904995
| 12.448665
| 10.945103
| 10.936847
| 20.054377
| 10.73068
| 12.957995
| 14.737399
| 12.274815
| 12.393667
| 12.938343
| 12.426982
| 12.277858
| 12.789371
| 14.369734
| 12.886589
|
2106.11989
|
Raju Venugopalan
|
Gia Dvali and Raju Venugopalan
|
Classicalization and unitarization of wee partons in QCD and Gravity:
The CGC-Black Hole correspondence
|
20 pages; typos fixed, references added, small clarifications to text
| null |
10.1103/PhysRevD.105.056026
| null |
hep-th gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss a remarkable correspondence between the description of Black Holes
as highly occupied condensates of $N$ weakly interacting gravitons and that of
Color Glass Condensates (CGCs) as highly occupied gluon states. In both cases,
the dynamics of "wee partons" in Regge asymptotics is controlled by emergent
semi-hard scales that lead to perturbative unitarization and classicalization
of $2\rightarrow N$ particle amplitudes at weak coupling. In particular, they
attain a maximal entropy permitted by unitarity, bounded by the inverse
coupling $\alpha$ of the respective constituents. Strikingly, this entropy is
equal to the area measured in units of the Goldstone constant corresponding to
the spontaneous breaking of Poincar{\'{e}} symmetry by the corresponding
graviton or gluon condensate. In gravity, the Goldstone constant is the Planck
scale, and gives rise to the Bekenstein-Hawking entropy. Likewise, in the CGC,
the corresponding Goldstone scale is determined by the onset of gluon
screening. We point to further similarities in Black Hole formation,
thermalization and decay, to that of the Glasma matter formed from colliding
CGCs in ultrarelativistic nuclear collisions, which decays into a Quark-Gluon
Plasma.
|
[
{
"created": "Tue, 22 Jun 2021 18:00:07 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jul 2021 11:36:46 GMT",
"version": "v2"
}
] |
2022-04-13
|
[
[
"Dvali",
"Gia",
""
],
[
"Venugopalan",
"Raju",
""
]
] |
We discuss a remarkable correspondence between the description of Black Holes as highly occupied condensates of $N$ weakly interacting gravitons and that of Color Glass Condensates (CGCs) as highly occupied gluon states. In both cases, the dynamics of "wee partons" in Regge asymptotics is controlled by emergent semi-hard scales that lead to perturbative unitarization and classicalization of $2\rightarrow N$ particle amplitudes at weak coupling. In particular, they attain a maximal entropy permitted by unitarity, bounded by the inverse coupling $\alpha$ of the respective constituents. Strikingly, this entropy is equal to the area measured in units of the Goldstone constant corresponding to the spontaneous breaking of Poincar{\'{e}} symmetry by the corresponding graviton or gluon condensate. In gravity, the Goldstone constant is the Planck scale, and gives rise to the Bekenstein-Hawking entropy. Likewise, in the CGC, the corresponding Goldstone scale is determined by the onset of gluon screening. We point to further similarities in Black Hole formation, thermalization and decay, to that of the Glasma matter formed from colliding CGCs in ultrarelativistic nuclear collisions, which decays into a Quark-Gluon Plasma.
| 8.938524
| 9.126762
| 8.528582
| 8.595456
| 8.733601
| 8.839803
| 9.080442
| 8.868707
| 8.051623
| 9.14606
| 8.820218
| 9.004553
| 8.546205
| 8.200307
| 8.945123
| 9.024569
| 8.850461
| 8.573568
| 8.562696
| 8.899619
| 8.740566
|
2107.05647
|
Thorsten Schimannek
|
Johanna Knapp, Emanuel Scheidegger, Thorsten Schimannek
|
On genus one fibered Calabi-Yau threefolds with 5-sections
|
117+36 pages
| null | null | null |
hep-th math.AG
|
http://creativecommons.org/licenses/by/4.0/
|
Elliptic and genus one fibered Calabi-Yau spaces play a prominent role in
string theory and mathematics. In this article we discuss a class of genus one
fibered Calabi-Yau threefolds with 5-sections from various perspectives. In
algebraic geometry, such Calabi-Yaus can be constructed as complete
intersections in Grassmannian fibrations and as Pfaffian varieties. These
constructions naturally fit into the framework of homological projective
duality and lead to dual pairs of Calabi-Yaus. From a physics perspective,
these spaces can be realised as low-energy configurations ("phases") of gauged
linear sigma models (GLSMs) with non-Abelian gauge groups, where the dual
geometries arise as phases of the same GLSM. Using the modular bootstrap
approach of topological string theory, one can compute all-genus Gopakumar-Vafa
invariants of these Calabi-Yaus. We observe that homological projective duality
acts as an element of $\Gamma_0(5)$ on the topological string partition
function and the partition functions of dual geometries transform into each
other. Moreover, we study the geometries from an M-/F-theory perspective. We
compute the F-theory spectrum and show how the genus one-fibered Calabi-Yaus
are connected to certain Calabi-Yaus in toric varieties via a series of Higgs
transitions. Based on the F-theory physics, we conjecture that dual geometries
are elements of the same Tate-Shafarevich group. Our analysis also leads to a
classification of 5-section geometries, as well as the construction of F-theory
models with charge 5 hypermultiplets.
|
[
{
"created": "Mon, 12 Jul 2021 18:00:03 GMT",
"version": "v1"
}
] |
2021-07-14
|
[
[
"Knapp",
"Johanna",
""
],
[
"Scheidegger",
"Emanuel",
""
],
[
"Schimannek",
"Thorsten",
""
]
] |
Elliptic and genus one fibered Calabi-Yau spaces play a prominent role in string theory and mathematics. In this article we discuss a class of genus one fibered Calabi-Yau threefolds with 5-sections from various perspectives. In algebraic geometry, such Calabi-Yaus can be constructed as complete intersections in Grassmannian fibrations and as Pfaffian varieties. These constructions naturally fit into the framework of homological projective duality and lead to dual pairs of Calabi-Yaus. From a physics perspective, these spaces can be realised as low-energy configurations ("phases") of gauged linear sigma models (GLSMs) with non-Abelian gauge groups, where the dual geometries arise as phases of the same GLSM. Using the modular bootstrap approach of topological string theory, one can compute all-genus Gopakumar-Vafa invariants of these Calabi-Yaus. We observe that homological projective duality acts as an element of $\Gamma_0(5)$ on the topological string partition function and the partition functions of dual geometries transform into each other. Moreover, we study the geometries from an M-/F-theory perspective. We compute the F-theory spectrum and show how the genus one-fibered Calabi-Yaus are connected to certain Calabi-Yaus in toric varieties via a series of Higgs transitions. Based on the F-theory physics, we conjecture that dual geometries are elements of the same Tate-Shafarevich group. Our analysis also leads to a classification of 5-section geometries, as well as the construction of F-theory models with charge 5 hypermultiplets.
| 5.941987
| 6.286325
| 7.199828
| 5.846251
| 6.332701
| 6.751898
| 6.477662
| 5.873335
| 5.899745
| 7.177302
| 5.675914
| 5.794637
| 6.044044
| 5.715215
| 5.782278
| 5.806131
| 5.80364
| 5.742633
| 5.72014
| 6.159093
| 5.73606
|
0911.0682
|
Tanmay Vachaspati
|
Katherine Jones-Smith, Harsh Mathur, Tanmay Vachaspati
|
Aharonov-Bohm Radiation
|
Accepted for publication in Phys Rev D
|
Phys.Rev.D81:043503,2010
|
10.1103/PhysRevD.81.043503
| null |
hep-th astro-ph.CO cond-mat.other gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A solenoid oscillating in vacuum will pair produce charged particles due to
the Aharonov-Bohm (AB) interaction. We calculate the radiation pattern and
power emitted for charged scalar particles. We extend the solenoid analysis to
cosmic strings, and find enhanced radiation from cusps and kinks on loops. We
argue by analogy with the electromagnetic AB interaction that cosmic strings
should emit photons due to the gravitational AB interaction of fields in the
conical spacetime of a cosmic string. We calculate the emission from a kink and
find that it is of similar order as emission from a cusp, but kinks are vastly
more numerous than cusps and may provide a more interesting observational
signature.
|
[
{
"created": "Tue, 3 Nov 2009 21:27:46 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 2010 16:12:08 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Jones-Smith",
"Katherine",
""
],
[
"Mathur",
"Harsh",
""
],
[
"Vachaspati",
"Tanmay",
""
]
] |
A solenoid oscillating in vacuum will pair produce charged particles due to the Aharonov-Bohm (AB) interaction. We calculate the radiation pattern and power emitted for charged scalar particles. We extend the solenoid analysis to cosmic strings, and find enhanced radiation from cusps and kinks on loops. We argue by analogy with the electromagnetic AB interaction that cosmic strings should emit photons due to the gravitational AB interaction of fields in the conical spacetime of a cosmic string. We calculate the emission from a kink and find that it is of similar order as emission from a cusp, but kinks are vastly more numerous than cusps and may provide a more interesting observational signature.
| 10.347948
| 9.401449
| 10.08849
| 9.171678
| 9.889731
| 9.585009
| 9.336783
| 10.120968
| 9.629422
| 9.722546
| 8.964964
| 9.29544
| 9.04657
| 9.189384
| 9.171971
| 9.604936
| 8.898119
| 9.065469
| 8.985573
| 9.297981
| 9.22974
|
hep-th/9702123
|
Christian R. Preitschopf
|
T. Hurth, P. van Nieuwenhuizen, C.R. Preitschopf, A. Waldron
|
Osp(1|8)-Gravity
|
8 pages, latex, espcrc2.sty (included); contribution to the
Proceedings of the 30th Ahrenshoop Symposium on the Theory of Elementary
Particles, Buckow, Germany, Aug. 27-31, 1996
|
Nucl.Phys.Proc.Suppl. 56B (1997) 310-317
|
10.1016/S0920-5632(97)00340-X
|
HUB-EP 97/11, ITP-SB-97-15
|
hep-th
| null |
We analyze a new MacDowell-Mansouri $R^2$-type supergravity action based on
the superalgebra Osp(1|8). This contribution summarizes the work of
hep-th/9702052.
|
[
{
"created": "Sun, 16 Feb 1997 17:12:59 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Hurth",
"T.",
""
],
[
"van Nieuwenhuizen",
"P.",
""
],
[
"Preitschopf",
"C. R.",
""
],
[
"Waldron",
"A.",
""
]
] |
We analyze a new MacDowell-Mansouri $R^2$-type supergravity action based on the superalgebra Osp(1|8). This contribution summarizes the work of hep-th/9702052.
| 17.031681
| 10.445252
| 13.575966
| 9.944319
| 10.979765
| 8.687082
| 10.089366
| 10.256948
| 10.807576
| 18.623339
| 10.803594
| 11.523668
| 13.22402
| 11.255689
| 12.219275
| 11.34746
| 11.985307
| 10.56037
| 11.840749
| 12.828668
| 13.475697
|
hep-th/9412205
|
Prem Prakash Srivastava
|
Prem P. Srivastava
|
Phase Transition in Scalar Theory Quantized on the Light-Front
|
6 pages, Tex. Published in the Proceedings of the WORKSHOP ON HADRON
PHYSICS- HADRONS94, Gramado, RS, Brasil, World Scientific, Singapore
| null | null |
IF-UERJ-016/94
|
hep-th cond-mat hep-ph
| null |
The renormalization of the two dimensional light-front quantized $\phi^{4}$
theory is discussed. The mass renormalization condition and the renormalized
constraint equation are shown to contain all the information to describe the
phase transition in the theory, which is found to be of the second order in
agreement with the conjecture of Simons and Griffith. We argue that the same
result is also be obtained in the conventional equal-time formulation.
|
[
{
"created": "Thu, 22 Dec 1994 22:04:24 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Srivastava",
"Prem P.",
""
]
] |
The renormalization of the two dimensional light-front quantized $\phi^{4}$ theory is discussed. The mass renormalization condition and the renormalized constraint equation are shown to contain all the information to describe the phase transition in the theory, which is found to be of the second order in agreement with the conjecture of Simons and Griffith. We argue that the same result is also be obtained in the conventional equal-time formulation.
| 12.26383
| 11.48043
| 11.32301
| 9.979641
| 12.041124
| 12.531281
| 12.12699
| 9.93853
| 10.630907
| 11.368989
| 10.06152
| 11.001401
| 12.065899
| 11.129225
| 11.362361
| 11.544113
| 11.380509
| 10.647527
| 10.776717
| 11.658059
| 10.668245
|
1709.06297
|
Runqiu Yang
|
Rong-Gen Cai, Shan-Ming Ruan, Run-Qiu Yang and Yun-Long Zhang
|
The String Worldsheet as the Holographic Dual of SYK State
|
6 pages, 1 figure
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent studies of the fluctuations of an open string in AdS space show some
pieces of evidence that the string with a worldsheet horizon could be a dual
description of SYK model, as they saturate universal chaos bound and share the
same symmetry. An open string hangs from the AdS boundary to the horizon of
black brane could be dual to a 0+1 dimensional boundary state. To be specific,
we find that the fluctuation of the string in charged BTZ black hole has an
asymptotic scaling symmetry, and its Euclidean IR fixed point is governed by
the quadratic order of Schwarzian action, which is just the low energy
effective theory of the SYK model. Considering the open string worldsheet also
has natural reparametrization symmetry, we conjecture that the action of the
string worldsheet is a dual description of SYK state.
|
[
{
"created": "Tue, 19 Sep 2017 08:47:06 GMT",
"version": "v1"
}
] |
2017-09-20
|
[
[
"Cai",
"Rong-Gen",
""
],
[
"Ruan",
"Shan-Ming",
""
],
[
"Yang",
"Run-Qiu",
""
],
[
"Zhang",
"Yun-Long",
""
]
] |
Recent studies of the fluctuations of an open string in AdS space show some pieces of evidence that the string with a worldsheet horizon could be a dual description of SYK model, as they saturate universal chaos bound and share the same symmetry. An open string hangs from the AdS boundary to the horizon of black brane could be dual to a 0+1 dimensional boundary state. To be specific, we find that the fluctuation of the string in charged BTZ black hole has an asymptotic scaling symmetry, and its Euclidean IR fixed point is governed by the quadratic order of Schwarzian action, which is just the low energy effective theory of the SYK model. Considering the open string worldsheet also has natural reparametrization symmetry, we conjecture that the action of the string worldsheet is a dual description of SYK state.
| 11.347567
| 11.541394
| 13.248199
| 12.072706
| 11.723326
| 12.107677
| 11.204378
| 12.133587
| 12.207493
| 14.650141
| 11.157389
| 11.161374
| 11.937613
| 11.227895
| 11.142369
| 11.127157
| 11.269601
| 11.152708
| 11.12733
| 11.837046
| 10.957968
|
1607.02103
|
C. S. Shahbazi
|
C. I. Lazaroiu and C. S. Shahbazi
|
On the spin geometry of supergravity and string theory
|
5 pages
|
In: Kielanowski P., Odzijewicz A., Previato E. (eds) Geometric
Methods in Physics XXXVI. Trends in Mathematics. Birkh\"auser (2019)
|
10.1007/978-3-030-01156-7_25
| null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We summarize the main results of our recent investigation of bundles of real
Clifford modules and briefly touch on some applications to string theory and
supergravity.
|
[
{
"created": "Thu, 7 Jul 2016 17:48:16 GMT",
"version": "v1"
}
] |
2020-08-04
|
[
[
"Lazaroiu",
"C. I.",
""
],
[
"Shahbazi",
"C. S.",
""
]
] |
We summarize the main results of our recent investigation of bundles of real Clifford modules and briefly touch on some applications to string theory and supergravity.
| 23.577444
| 19.370537
| 22.872591
| 15.819689
| 16.060589
| 16.174294
| 16.446552
| 17.423079
| 15.803919
| 23.723192
| 16.070812
| 16.938198
| 21.493841
| 17.394728
| 17.403894
| 16.976618
| 15.873194
| 17.759121
| 17.435179
| 19.857641
| 17.160133
|
1108.4461
|
Lance Dixon
|
Lance J. Dixon, James M. Drummond and Johannes M. Henn
|
Bootstrapping the three-loop hexagon
|
36 pages, 1 figure, plus 8 ancillary files containing symbols of
functions; v2 minor typo corrections
| null |
10.1007/JHEP11(2011)023
|
CERN-PH-TH/2011/189; SLAC-PUB-14528; LAPTH-029/11; HU-EP-11-38;
NSF-KITP-11-176
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the hexagonal Wilson loop dual to the six-point MHV amplitude in
planar N=4 super Yang-Mills theory. We apply constraints from the operator
product expansion in the near-collinear limit to the symbol of the remainder
function at three loops. Using these constraints, and assuming a natural ansatz
for the symbol's entries, we determine the symbol up to just two undetermined
constants. In the multi-Regge limit, both constants drop out from the symbol,
enabling us to make a non-trivial confirmation of the BFKL prediction for the
leading-log approximation. This result provides a strong consistency check of
both our ansatz for the symbol and the duality between Wilson loops and MHV
amplitudes. Furthermore, we predict the form of the full three-loop remainder
function in the multi-Regge limit, beyond the leading-log approximation, up to
a few constants representing terms not detected by the symbol. Our results
confirm an all-loop prediction for the real part of the remainder function in
multi-Regge 3-->3 scattering. In the multi-Regge limit, our result for the
remainder function can be expressed entirely in terms of classical
polylogarithms. For generic six-point kinematics other functions are required.
|
[
{
"created": "Tue, 23 Aug 2011 00:42:21 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Nov 2011 22:28:55 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Dixon",
"Lance J.",
""
],
[
"Drummond",
"James M.",
""
],
[
"Henn",
"Johannes M.",
""
]
] |
We consider the hexagonal Wilson loop dual to the six-point MHV amplitude in planar N=4 super Yang-Mills theory. We apply constraints from the operator product expansion in the near-collinear limit to the symbol of the remainder function at three loops. Using these constraints, and assuming a natural ansatz for the symbol's entries, we determine the symbol up to just two undetermined constants. In the multi-Regge limit, both constants drop out from the symbol, enabling us to make a non-trivial confirmation of the BFKL prediction for the leading-log approximation. This result provides a strong consistency check of both our ansatz for the symbol and the duality between Wilson loops and MHV amplitudes. Furthermore, we predict the form of the full three-loop remainder function in the multi-Regge limit, beyond the leading-log approximation, up to a few constants representing terms not detected by the symbol. Our results confirm an all-loop prediction for the real part of the remainder function in multi-Regge 3-->3 scattering. In the multi-Regge limit, our result for the remainder function can be expressed entirely in terms of classical polylogarithms. For generic six-point kinematics other functions are required.
| 5.2274
| 5.219821
| 6.640724
| 5.179709
| 5.323503
| 5.638123
| 5.333748
| 5.30182
| 5.672558
| 7.106744
| 5.392972
| 5.274791
| 5.808928
| 5.277326
| 5.279509
| 5.492643
| 5.263341
| 5.387518
| 5.374389
| 5.71317
| 5.452833
|
0812.1433
|
Alexander E. Shalyt-Margolin
|
Alexander E. Shalyt-Margolin
|
Entropy in the Present and Early Universe
|
23 pages. to be published in special issue "Symmetry and Entropy" of
journal SYMMETRY: Culture and Science
|
Sci.Cult.18:299-320,2007
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a short analysis of the changes in the concept of entropy as applied
to physics of the present-day and Early Universe. Of special interest is a
leading role of such a notion as deformation of a physical theory. The relation
to a symmetry of the corresponding theory is noted. As this work is not a
survey, the relevant author's works are mainly considered. This paper is to be
published in special issue "Symmetry and Entropy" of journal SYMMETRY: Culture
and Science
|
[
{
"created": "Mon, 8 Dec 2008 08:27:18 GMT",
"version": "v1"
}
] |
2009-02-05
|
[
[
"Shalyt-Margolin",
"Alexander E.",
""
]
] |
This is a short analysis of the changes in the concept of entropy as applied to physics of the present-day and Early Universe. Of special interest is a leading role of such a notion as deformation of a physical theory. The relation to a symmetry of the corresponding theory is noted. As this work is not a survey, the relevant author's works are mainly considered. This paper is to be published in special issue "Symmetry and Entropy" of journal SYMMETRY: Culture and Science
| 18.734022
| 17.956003
| 19.250755
| 17.978514
| 15.977932
| 19.774681
| 19.944748
| 18.888235
| 18.734941
| 20.702795
| 18.005743
| 17.969093
| 17.995392
| 17.349369
| 18.306425
| 17.66712
| 17.699175
| 17.417273
| 18.251528
| 18.224367
| 16.600653
|
hep-th/9807099
|
Detlev Buchholz
|
Jacques Bros and Detlev Buchholz
|
Towards a Relativistic KMS Condition
|
TEX, 23 pages, figures omitted (e-print version of published paper)
|
Nucl.Phys. B429 (1994) 291-318
|
10.1016/0550-3213(94)00298-3
|
Saclay CEN - S.PH.T-93-114
|
hep-th
| null |
It is shown that, under quite general conditions, thermal correlation
functions in relativistic quantum field theory have stronger analyticity
properties in configuration space than those imposed by the KMS-condition.
These analyticity properties may be understood as a remnant of the relativistic
spectrum condition in the vacuum sector and lead to a Lorentz-covariant
formulation of the KMS-condition involving all space-time variables.
|
[
{
"created": "Tue, 14 Jul 1998 19:10:08 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bros",
"Jacques",
""
],
[
"Buchholz",
"Detlev",
""
]
] |
It is shown that, under quite general conditions, thermal correlation functions in relativistic quantum field theory have stronger analyticity properties in configuration space than those imposed by the KMS-condition. These analyticity properties may be understood as a remnant of the relativistic spectrum condition in the vacuum sector and lead to a Lorentz-covariant formulation of the KMS-condition involving all space-time variables.
| 9.237397
| 7.156423
| 8.143934
| 7.79675
| 8.450959
| 7.553145
| 7.85295
| 7.988515
| 8.145259
| 8.065801
| 7.754396
| 7.470125
| 7.864741
| 7.958349
| 7.777225
| 7.84637
| 7.873011
| 7.55857
| 7.689216
| 7.587941
| 7.79103
|
hep-th/9612161
|
Mohammad Reza Rahimi Tabar
|
A. R. Rastegar, M. R. Rahimi Tabar, P. Hawaii
|
Turbulence With Pressure
|
13 pages ,latex , no figures
| null | null | null |
hep-th
| null |
We investigate the exact results of the Navier-Stokes equations using the
methods developed by Polyakov. It is shown that when the velocity field and the
density are not independent, the Burgers equation is obtained leading to exact
N-point generating functions of velocity field. Our results show that, the
operator product expansion has to be generalized both in the absence and the
presence of pressure. We find a method to determine the extra terms in the
operator product expansion and derive its coefficients and find the first
correction to probablity distribuation function. In the general case and for
small pressure, we solve the problem perturbatively and find the probablity
distribuation function for the Navier-Stokes equation in the mean field
approximation.
|
[
{
"created": "Sat, 14 Dec 1996 15:19:41 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Dec 1996 22:05:07 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Rastegar",
"A. R.",
""
],
[
"Tabar",
"M. R. Rahimi",
""
],
[
"Hawaii",
"P.",
""
]
] |
We investigate the exact results of the Navier-Stokes equations using the methods developed by Polyakov. It is shown that when the velocity field and the density are not independent, the Burgers equation is obtained leading to exact N-point generating functions of velocity field. Our results show that, the operator product expansion has to be generalized both in the absence and the presence of pressure. We find a method to determine the extra terms in the operator product expansion and derive its coefficients and find the first correction to probablity distribuation function. In the general case and for small pressure, we solve the problem perturbatively and find the probablity distribuation function for the Navier-Stokes equation in the mean field approximation.
| 14.459401
| 13.978462
| 14.780473
| 14.286202
| 15.170022
| 14.394491
| 14.164844
| 13.090715
| 13.201773
| 15.819315
| 13.711134
| 14.068712
| 14.823564
| 14.421124
| 13.869959
| 13.952474
| 13.634943
| 14.073812
| 13.982276
| 14.683182
| 13.897806
|
1203.6578
|
Massimo Taronna
|
Euihun Joung, Luca Lopez, Massimo Taronna
|
On the cubic interactions of massive and partially-massless higher spins
in (A)dS
|
42 pages, 2 tables, LaTex. Comments on two-derivative couplings
involving partially-massless spin-2 fields added, typos corrected, references
added. v2: final version to appear in JHEP. v3: formulae (3.4) and (3.9)
corrected
| null |
10.1007/JHEP07(2012)041
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cubic interactions of massive and partially-massless totally-symmetric
higher-spin fields in any constant-curvature background of dimension greater
than three are investigated. Making use of the ambient-space formalism, the
consistency condition for the traceless and transverse parts of the
parity-invariant interactions is recast into a system of partial differential
equations. The latter can be explicitly solved for given s_1-s_2-s_3 couplings
and the 2-2-2 and 3-3-2 examples are provided in detail for general choices of
the masses. On the other hand, the general solutions for the interactions
involving massive and massless fields are expressed in a compact form as
generating functions of all the consistent couplings. The St\"uckelberg
formulation of the cubic interactions as well as their massless limits are also
analyzed.
|
[
{
"created": "Thu, 29 Mar 2012 16:28:31 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jun 2012 15:14:28 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Nov 2012 21:29:58 GMT",
"version": "v3"
}
] |
2015-06-04
|
[
[
"Joung",
"Euihun",
""
],
[
"Lopez",
"Luca",
""
],
[
"Taronna",
"Massimo",
""
]
] |
Cubic interactions of massive and partially-massless totally-symmetric higher-spin fields in any constant-curvature background of dimension greater than three are investigated. Making use of the ambient-space formalism, the consistency condition for the traceless and transverse parts of the parity-invariant interactions is recast into a system of partial differential equations. The latter can be explicitly solved for given s_1-s_2-s_3 couplings and the 2-2-2 and 3-3-2 examples are provided in detail for general choices of the masses. On the other hand, the general solutions for the interactions involving massive and massless fields are expressed in a compact form as generating functions of all the consistent couplings. The St\"uckelberg formulation of the cubic interactions as well as their massless limits are also analyzed.
| 11.384803
| 7.978033
| 9.358642
| 7.646377
| 7.758492
| 8.098428
| 8.585968
| 8.308828
| 7.637154
| 9.606331
| 7.892831
| 8.204955
| 8.609912
| 8.357636
| 8.642642
| 8.576253
| 8.223404
| 8.255509
| 8.465961
| 9.15535
| 8.358503
|
hep-th/0412042
|
Alexander Popov
|
Alexander D. Popov
|
On Explicit Point Multi-Monopoles in SU(2) Gauge Theory
|
1+7 pages, LaTeX
|
J.Math.Phys. 46 (2005) 073506
|
10.1063/1.1939987
| null |
hep-th
| null |
It is well known that the Dirac monopole solution with the U(1) gauge group
embedded into the group SU(2) is equivalent to the SU(2) Wu-Yang point monopole
solution having no Dirac string singularity. We consider a multi-center
configuration of m Dirac monopoles and n anti-monopoles and its embedding into
SU(2) gauge theory. Using geometric methods, we construct an explicit solution
of the SU(2) Yang-Mills equations which generalizes the Wu-Yang solution to the
case of m monopoles and n anti-monopoles located at arbitrary points in R^3.
|
[
{
"created": "Mon, 6 Dec 2004 14:23:55 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Popov",
"Alexander D.",
""
]
] |
It is well known that the Dirac monopole solution with the U(1) gauge group embedded into the group SU(2) is equivalent to the SU(2) Wu-Yang point monopole solution having no Dirac string singularity. We consider a multi-center configuration of m Dirac monopoles and n anti-monopoles and its embedding into SU(2) gauge theory. Using geometric methods, we construct an explicit solution of the SU(2) Yang-Mills equations which generalizes the Wu-Yang solution to the case of m monopoles and n anti-monopoles located at arbitrary points in R^3.
| 4.654615
| 4.823661
| 4.644301
| 4.575654
| 4.459053
| 4.177029
| 4.683597
| 4.758882
| 4.488176
| 4.867893
| 4.278892
| 4.449619
| 4.421145
| 4.255157
| 4.270936
| 4.293101
| 4.490105
| 4.198395
| 4.356502
| 4.246136
| 4.349938
|
2107.09780
|
Dieter L\"ust
|
Dieter Lust
|
Toroidal $\&$ orbifold compactifications at large D and D-duality
|
36 pages, revised version contains only small changes
| null |
10.1002/prop.202100172
|
LMU-ASC 25/21, MPP-2021-112
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper I will further investigate the spectrum of quantum gravity or
string theories at large number of dimensions. We will see that volumes of
certain orbifolds shrink at large D. It follows that the mass spectra of the
leading Kaluza-Klein towers and also of wrapped brane states on these orbifolds
possess a non-trivial dependence on D: KK modes become heavy at large D,
whereas wrapped branes become light. This observation can be used either to
apply the Large Dimension Conjecture or, as we will do, to investigate the
possibility of a D-duality symmetry, which relates in gravity compactifications
of different dimensions. We will set up the general rules for D-duality in
higher dimensional gravity. However due to existence of the critical
dimensions, D-duality is quite restricted in string theory. As simple tests for
D-duality in string theory, we will discuss the duality between M-theory on a
two-dimensional orbifold, namely the M\"obius strip, and an IIB S-fold on a
circle, which corresponds to the heterotic CHL string, as well the duality
between a (truncated) 12-dimensional theory on a three-dimensional orbifold and
another IIB S-fold compactification. Finally I also comment on the possible
existence of exotic theories at large D.
|
[
{
"created": "Tue, 20 Jul 2021 21:50:56 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jul 2021 13:04:51 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Nov 2021 14:27:43 GMT",
"version": "v3"
}
] |
2022-02-09
|
[
[
"Lust",
"Dieter",
""
]
] |
In this paper I will further investigate the spectrum of quantum gravity or string theories at large number of dimensions. We will see that volumes of certain orbifolds shrink at large D. It follows that the mass spectra of the leading Kaluza-Klein towers and also of wrapped brane states on these orbifolds possess a non-trivial dependence on D: KK modes become heavy at large D, whereas wrapped branes become light. This observation can be used either to apply the Large Dimension Conjecture or, as we will do, to investigate the possibility of a D-duality symmetry, which relates in gravity compactifications of different dimensions. We will set up the general rules for D-duality in higher dimensional gravity. However due to existence of the critical dimensions, D-duality is quite restricted in string theory. As simple tests for D-duality in string theory, we will discuss the duality between M-theory on a two-dimensional orbifold, namely the M\"obius strip, and an IIB S-fold on a circle, which corresponds to the heterotic CHL string, as well the duality between a (truncated) 12-dimensional theory on a three-dimensional orbifold and another IIB S-fold compactification. Finally I also comment on the possible existence of exotic theories at large D.
| 10.670306
| 11.915195
| 11.301766
| 10.470917
| 11.236767
| 10.685875
| 10.80795
| 11.102949
| 10.55837
| 11.578897
| 10.466516
| 10.192657
| 10.555442
| 9.99873
| 10.476425
| 10.225569
| 10.157925
| 10.017998
| 10.098799
| 10.439168
| 10.516592
|
2407.21463
|
Yakov Shnir
|
Jutta Kunz, Victor Loiko and Yakov Shnir
|
Hairy dyonic Reissner-Nordstr\"om black holes in an
Einstein-Maxwell-Friedberg-Lee-Sirlin type model
|
22 pages, 6 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct spherically symmetric dyonic black holes in a generalized
Maxwell-Friedberg-Lee-Sirlin type model with a complex scalar doublet and a
symmetry breaking potential {for the real scalar field}, minimally coupled to
Einstein gravity in asymptotically flat space.
We analyze the properties of the hairy black holes and determine their domain
of existence. Our discussion focuses mostly on the case of a long-ranged
massless real scalar field.
Our results indicate that in this case, depending on the coupling constants,
the resonant hairy dyonic black holes may bifurcate from Reissner-Nordstr\"om
black holes at maximal chemical potential, while the limiting solutions at
minimal chemical potential may be related to the Penney solution.
|
[
{
"created": "Wed, 31 Jul 2024 09:20:39 GMT",
"version": "v1"
}
] |
2024-08-01
|
[
[
"Kunz",
"Jutta",
""
],
[
"Loiko",
"Victor",
""
],
[
"Shnir",
"Yakov",
""
]
] |
We construct spherically symmetric dyonic black holes in a generalized Maxwell-Friedberg-Lee-Sirlin type model with a complex scalar doublet and a symmetry breaking potential {for the real scalar field}, minimally coupled to Einstein gravity in asymptotically flat space. We analyze the properties of the hairy black holes and determine their domain of existence. Our discussion focuses mostly on the case of a long-ranged massless real scalar field. Our results indicate that in this case, depending on the coupling constants, the resonant hairy dyonic black holes may bifurcate from Reissner-Nordstr\"om black holes at maximal chemical potential, while the limiting solutions at minimal chemical potential may be related to the Penney solution.
| 12.072842
| 11.82552
| 10.779918
| 9.403172
| 11.26772
| 12.024307
| 13.020364
| 9.209261
| 11.928255
| 11.555078
| 11.4095
| 11.325619
| 10.844437
| 10.866415
| 11.048292
| 11.207878
| 11.602189
| 10.630427
| 10.949783
| 11.113087
| 11.1391
|
hep-th/0412278
|
Chung Ngoc Leung
|
P. Jasinski and C. N. Leung
|
Further Investigation on Chiral Symmetry Breaking in a Uniform External
Magnetic Field
|
LaTeX, 8 pages
| null | null | null |
hep-th
| null |
We study chiral symmetry breaking in QED when a uniform external magnetic
field is present. We calculate higher order corrections to the dynamically
generated fermion mass and find them to be small. In so doing we correct an
error in the literature regarding the matrix structure of the fermion
self-energy.
|
[
{
"created": "Wed, 22 Dec 2004 20:55:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Jasinski",
"P.",
""
],
[
"Leung",
"C. N.",
""
]
] |
We study chiral symmetry breaking in QED when a uniform external magnetic field is present. We calculate higher order corrections to the dynamically generated fermion mass and find them to be small. In so doing we correct an error in the literature regarding the matrix structure of the fermion self-energy.
| 7.663458
| 6.14025
| 6.258128
| 5.898065
| 6.325555
| 6.571918
| 6.434552
| 6.818759
| 5.89631
| 6.736551
| 6.464366
| 6.737298
| 6.386343
| 6.403123
| 6.684959
| 7.188913
| 6.780095
| 6.902133
| 6.543212
| 6.788285
| 6.81811
|
0808.0155
|
Simon Caron-Huot
|
Simon Caron-Huot
|
On supersymmetry at finite temperature
|
15 pages, 3 figures
|
Phys.Rev.D79:125002,2009
|
10.1103/PhysRevD.79.125002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the effective theories governing the sensitivity to the plasma of
certain high-energy observables in supersymmetric plasmas, and point out that
they preserve supersymmetry. Our findings generalize previous observations on
symptotic thermal masses in weakly coupled plasmas, to both the real and
imaginary parts of self-energies, on the light cone and away from it, in weakly
and strongly interacting theories. All observed supersymmetry violations due to
thermal effects vanish faster than $E^{-2}$ in the high energy limit.
|
[
{
"created": "Fri, 1 Aug 2008 17:34:25 GMT",
"version": "v1"
}
] |
2009-06-30
|
[
[
"Caron-Huot",
"Simon",
""
]
] |
We consider the effective theories governing the sensitivity to the plasma of certain high-energy observables in supersymmetric plasmas, and point out that they preserve supersymmetry. Our findings generalize previous observations on symptotic thermal masses in weakly coupled plasmas, to both the real and imaginary parts of self-energies, on the light cone and away from it, in weakly and strongly interacting theories. All observed supersymmetry violations due to thermal effects vanish faster than $E^{-2}$ in the high energy limit.
| 17.894516
| 19.447506
| 18.81461
| 17.287266
| 18.044916
| 19.979488
| 18.23399
| 15.972433
| 15.935358
| 18.013813
| 17.484312
| 16.670208
| 16.730331
| 16.249825
| 17.018818
| 16.030773
| 15.948649
| 16.320299
| 16.365412
| 16.595928
| 16.4884
|
2207.05268
|
Liangyu Chen
|
Liangyu Chen and Huajia Wang
|
Shape dependence of mutual information in the OPE limit: linear
responses
|
37 pages, minor revision
| null |
10.1007/JHEP10(2022)101
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Mutual information serves as an important measure of correlation between
subsystem components. In the framework of quantum field theories (QFTs) they
have better regulated UV behavior than entanglement entropy, and thus provide
more direct access to universal aspects of entanglement structures. In this
paper, we study the linear responses under shape deformation of the mutual
information in the conformal field theory (CFT) vacuum between two spheres of
radius $R$ separated by large distance $L\gg R$ or conformally equivalent
configurations. Our calculations make use of the previous OPE results for
mutual information \cite{Faulkner2016Aug} and the associated modular
Hamiltonian \cite{Faulkner2021Aug}. In particular, we apply the entanglement
first law to compute the linear responses of mutual information under shape
deformation on one of the spheres. We find that the linear responses exhibit a
high degree of universality for a selected class of OPE contributions. We
demonstrate that there is a "little group" of symmetries associated with the
set-up. Our result implies that the spherical mutual information is extremal
over shape deformations of non-zero modes under the symmetry group.
|
[
{
"created": "Tue, 12 Jul 2022 02:32:03 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2022 01:53:37 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Sep 2022 05:51:38 GMT",
"version": "v3"
}
] |
2022-10-21
|
[
[
"Chen",
"Liangyu",
""
],
[
"Wang",
"Huajia",
""
]
] |
Mutual information serves as an important measure of correlation between subsystem components. In the framework of quantum field theories (QFTs) they have better regulated UV behavior than entanglement entropy, and thus provide more direct access to universal aspects of entanglement structures. In this paper, we study the linear responses under shape deformation of the mutual information in the conformal field theory (CFT) vacuum between two spheres of radius $R$ separated by large distance $L\gg R$ or conformally equivalent configurations. Our calculations make use of the previous OPE results for mutual information \cite{Faulkner2016Aug} and the associated modular Hamiltonian \cite{Faulkner2021Aug}. In particular, we apply the entanglement first law to compute the linear responses of mutual information under shape deformation on one of the spheres. We find that the linear responses exhibit a high degree of universality for a selected class of OPE contributions. We demonstrate that there is a "little group" of symmetries associated with the set-up. Our result implies that the spherical mutual information is extremal over shape deformations of non-zero modes under the symmetry group.
| 10.2708
| 10.724131
| 10.683269
| 10.025508
| 10.027865
| 11.166274
| 10.665914
| 9.94903
| 10.68789
| 11.750047
| 10.064831
| 9.800309
| 9.877795
| 9.584881
| 9.75745
| 9.884729
| 9.542768
| 9.782394
| 9.925232
| 9.936741
| 10.011095
|
hep-th/0601166
|
Pedro Castelo Ferreira
|
J. T. Mendonca and P. Castelo Ferreira
|
Mass for Plasma Photons from Gauge Symmetry Breaking
|
v1: 1+6 pages v2: Several discussions rewritten; Abstract rewritten;
References added; v3: includes Addendum
|
Europhys.Lett.75:189-194,2006; Addendum
Europhys.Lett.85:59901,2009
|
10.1209/epl/i2006-10109-6 10.1209/0295-5075/85/59901
| null |
hep-th physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the effective masses for photons in unmagnetized plasma waves using
a quantum field theory with two vector fields (gauge fields). In order to
properly define the quantum field degrees of freedom we re-derive the classical
wave equations on light-front gauge. This is needed because the usual scalar
potential of electromagnetism is, in quantum field theory, not a physical
degree of freedom that renders negative energy eigenstates. We also consider a
background local fluid metric that allows for a covariant treatment of the
problem. The different masses for the longitudinal (plasmon) and transverse
photons are in our framework due to the local fluid metric. We apply the
mechanism of mass generation by gauge symmetry breaking recently proposed by
the authors by giving a non-trivial vacuum-expectation-value to the second
vector field (gauge field). The Debye length $\lambda_D$ is interpreted as an
effective compactification length and we compute an explicit solution for the
large gauge transformations that correspond to the specific mass eigenvalues
derived here. Using an usual quantum field theory canonical quantization we
obtain the usual results in the literature. Although none of these ingredients
are new to physicist, as far as the authors are aware it is the first time that
such constructions are applied to Plasma Physics. Also we give a physical
interpretation (and realization) for the second vector field in terms of the
plasma background in terms of known physical phenomena.
Addendum: It is given a short proof that equation (10) is wrong, therefore
equations (12-17) are meaningless. The remaining results are correct being
generic derivations for nonmagnetized plasmas derived in a covariant QFT
framework.
|
[
{
"created": "Mon, 23 Jan 2006 16:58:48 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Aug 2006 01:55:17 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Apr 2009 17:03:14 GMT",
"version": "v3"
}
] |
2009-08-03
|
[
[
"Mendonca",
"J. T.",
""
],
[
"Ferreira",
"P. Castelo",
""
]
] |
We derive the effective masses for photons in unmagnetized plasma waves using a quantum field theory with two vector fields (gauge fields). In order to properly define the quantum field degrees of freedom we re-derive the classical wave equations on light-front gauge. This is needed because the usual scalar potential of electromagnetism is, in quantum field theory, not a physical degree of freedom that renders negative energy eigenstates. We also consider a background local fluid metric that allows for a covariant treatment of the problem. The different masses for the longitudinal (plasmon) and transverse photons are in our framework due to the local fluid metric. We apply the mechanism of mass generation by gauge symmetry breaking recently proposed by the authors by giving a non-trivial vacuum-expectation-value to the second vector field (gauge field). The Debye length $\lambda_D$ is interpreted as an effective compactification length and we compute an explicit solution for the large gauge transformations that correspond to the specific mass eigenvalues derived here. Using an usual quantum field theory canonical quantization we obtain the usual results in the literature. Although none of these ingredients are new to physicist, as far as the authors are aware it is the first time that such constructions are applied to Plasma Physics. Also we give a physical interpretation (and realization) for the second vector field in terms of the plasma background in terms of known physical phenomena. Addendum: It is given a short proof that equation (10) is wrong, therefore equations (12-17) are meaningless. The remaining results are correct being generic derivations for nonmagnetized plasmas derived in a covariant QFT framework.
| 15.49108
| 16.060942
| 15.664947
| 15.929291
| 16.854744
| 16.785612
| 16.311796
| 15.607141
| 15.695571
| 16.048594
| 15.737757
| 15.617263
| 15.092359
| 15.032232
| 15.681212
| 15.849271
| 15.317041
| 15.154744
| 14.892182
| 15.572796
| 15.15616
|
2110.10178
|
Brian McPeak
|
Sera Cremonini, Callum R. T. Jones, James T. Liu, Brian McPeak,
Yuezhang Tang
|
Repulsive Black Holes and Higher-Derivatives
|
52 pages, 10 figures
| null |
10.1007/JHEP03(2022)013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In two-derivative theories of gravity coupled to matter, charged black holes
are self-attractive at large distances, with the force vanishing at zero
temperature. However, in the presence of massless scalar fields and
four-derivative corrections, zero-temperature black holes no longer need to
obey the no-force condition. In this paper, we show how to calculate the
long-range force between such black holes. We develop an efficient method for
computing the higher-derivative corrections to the scalar charges when the
two-derivative theory has a shift symmetry, and compute the resulting force in
a variety of examples. We find that higher-derivative corrected black holes may
be self-attractive or self-repulsive, depending on the value of the Wilson
coefficients and the VEVs of scalar moduli. Indeed, we find black hole
solutions which are both superextremal and self-attractive. Furthermore, we
present examples where no choice of higher-derivative coefficients allows for
self-repulsive black hole states in all directions in charge space. This
suggests that, unlike the Weak Gravity Conjecture, which may be satisfied by
the black hole spectrum alone, the Repulsive Force Conjecture requires
additional constraints on the spectrum of charged particles.
|
[
{
"created": "Tue, 19 Oct 2021 18:00:06 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 19:11:38 GMT",
"version": "v2"
}
] |
2022-03-23
|
[
[
"Cremonini",
"Sera",
""
],
[
"Jones",
"Callum R. T.",
""
],
[
"Liu",
"James T.",
""
],
[
"McPeak",
"Brian",
""
],
[
"Tang",
"Yuezhang",
""
]
] |
In two-derivative theories of gravity coupled to matter, charged black holes are self-attractive at large distances, with the force vanishing at zero temperature. However, in the presence of massless scalar fields and four-derivative corrections, zero-temperature black holes no longer need to obey the no-force condition. In this paper, we show how to calculate the long-range force between such black holes. We develop an efficient method for computing the higher-derivative corrections to the scalar charges when the two-derivative theory has a shift symmetry, and compute the resulting force in a variety of examples. We find that higher-derivative corrected black holes may be self-attractive or self-repulsive, depending on the value of the Wilson coefficients and the VEVs of scalar moduli. Indeed, we find black hole solutions which are both superextremal and self-attractive. Furthermore, we present examples where no choice of higher-derivative coefficients allows for self-repulsive black hole states in all directions in charge space. This suggests that, unlike the Weak Gravity Conjecture, which may be satisfied by the black hole spectrum alone, the Repulsive Force Conjecture requires additional constraints on the spectrum of charged particles.
| 6.555847
| 6.615497
| 7.052655
| 6.215293
| 6.50204
| 6.357684
| 6.960821
| 6.221632
| 6.2501
| 8.040711
| 6.414135
| 6.213795
| 6.461659
| 6.094539
| 6.213705
| 6.155122
| 6.271092
| 6.216787
| 6.064266
| 6.47672
| 6.183735
|
0906.2561
|
Dimitrios Tsimpis
|
Dieter Lust and Dimitrios Tsimpis
|
New supersymmetric AdS4 type II vacua
|
19 pages; clarifications added, version to appear in JHEP
|
JHEP 0909:098,2009
|
10.1088/1126-6708/2009/09/098
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Building on our recent results on dynamic SU(3)xSU(3) structures we present a
set of sufficient conditions for supersymmetric AdS4xM6 backgrounds of type
IIA/IIB supergravity. These conditions ensure that the background solves,
besides the supersymmetry equations, all the equations of motion of type II
supergravity. The conditions state that the internal manifold is locally a
codimension-one foliation such that the five dimensional leaves admit a
Sasaki-Einstein structure. In type IIA the supersymmetry is N=2, and the total
six-dimensional internal space is locally an S^2 bundle over a four-dimensional
Kaehler-Einstein base; in IIB the internal space is the direct product of a
circle and a five-dimensional squashed Sasaki-Einstein manifold. Given any
five-dimensional Sasaki-Einstein manifold we construct the corresponding
families of type IIA/IIB vacua. The precise profiles of all the fields are
determined at the solution and depend on whether one is in IIA or in IIB. In
particular the background does not contain any sources, all fluxes (including
the Romans mass in IIA) are generally non-zero, and the dilaton and warp factor
are non-constant.
|
[
{
"created": "Mon, 15 Jun 2009 16:19:22 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jun 2009 09:14:10 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Sep 2009 06:33:54 GMT",
"version": "v3"
}
] |
2009-10-02
|
[
[
"Lust",
"Dieter",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] |
Building on our recent results on dynamic SU(3)xSU(3) structures we present a set of sufficient conditions for supersymmetric AdS4xM6 backgrounds of type IIA/IIB supergravity. These conditions ensure that the background solves, besides the supersymmetry equations, all the equations of motion of type II supergravity. The conditions state that the internal manifold is locally a codimension-one foliation such that the five dimensional leaves admit a Sasaki-Einstein structure. In type IIA the supersymmetry is N=2, and the total six-dimensional internal space is locally an S^2 bundle over a four-dimensional Kaehler-Einstein base; in IIB the internal space is the direct product of a circle and a five-dimensional squashed Sasaki-Einstein manifold. Given any five-dimensional Sasaki-Einstein manifold we construct the corresponding families of type IIA/IIB vacua. The precise profiles of all the fields are determined at the solution and depend on whether one is in IIA or in IIB. In particular the background does not contain any sources, all fluxes (including the Romans mass in IIA) are generally non-zero, and the dilaton and warp factor are non-constant.
| 7.317844
| 6.535559
| 8.730243
| 7.012378
| 7.274825
| 7.011277
| 7.078249
| 7.047248
| 6.935742
| 8.693009
| 7.004391
| 7.106238
| 7.297801
| 6.736489
| 7.088208
| 6.995507
| 6.963728
| 6.894026
| 6.974824
| 7.197288
| 6.939486
|
2311.03112
|
Kang Zhou
|
Chang Hu, Kang Zhou
|
Recursive construction for expansions of tree Yang-Mills amplitudes from
soft theorem
|
28 pages, 2 figures
| null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
In this paper, we have introduced a fundamentally different approach, based
on a bottom-up methodology, to expand tree-level Yang-Mills (YM) amplitudes
into Yang-Mills-scalar (YMS) amplitudes and Bi-adjoint-scalar (BAS) amplitudes.
Our method relies solely on the intrinsic soft behavior of external gluons,
eliminating the need for external aids such as Feynman rules or CHY rules. The
recursive procedure consistently preserves explicit gauge invariance at every
step, ultimately resulting in a manifest gauge-invariant outcome when the
initial expression is already framed in a gauge-invariant manner. The resulting
expansion can be directly analogized to the expansions of gravitational (GR)
amplitudes using the double copy structure. When combined with the expansions
of Einstein-Yang-Mills amplitudes obtained using the covariant double copy
method from existing literature, the expansions presented in this note yield
gauge-invariant BCJ numerators.
|
[
{
"created": "Mon, 6 Nov 2023 14:03:13 GMT",
"version": "v1"
}
] |
2023-11-07
|
[
[
"Hu",
"Chang",
""
],
[
"Zhou",
"Kang",
""
]
] |
In this paper, we have introduced a fundamentally different approach, based on a bottom-up methodology, to expand tree-level Yang-Mills (YM) amplitudes into Yang-Mills-scalar (YMS) amplitudes and Bi-adjoint-scalar (BAS) amplitudes. Our method relies solely on the intrinsic soft behavior of external gluons, eliminating the need for external aids such as Feynman rules or CHY rules. The recursive procedure consistently preserves explicit gauge invariance at every step, ultimately resulting in a manifest gauge-invariant outcome when the initial expression is already framed in a gauge-invariant manner. The resulting expansion can be directly analogized to the expansions of gravitational (GR) amplitudes using the double copy structure. When combined with the expansions of Einstein-Yang-Mills amplitudes obtained using the covariant double copy method from existing literature, the expansions presented in this note yield gauge-invariant BCJ numerators.
| 12.189882
| 10.179286
| 12.079778
| 9.982482
| 10.153841
| 10.333602
| 9.839103
| 9.616076
| 9.948974
| 12.708126
| 9.548429
| 10.347
| 11.035245
| 10.63972
| 10.678344
| 10.416442
| 10.96561
| 10.187087
| 10.395269
| 11.338407
| 10.296572
|
hep-th/9506105
|
Alexander Turbiner
|
Werner Ruhl and Alexander Turbiner
|
Exact Solvability of the Calogero and Sutherland Models
|
13 pages, latex. Connection to Jack polynomials clarified, misprints
corrected
|
Mod. Phys. Lett. A10 (1995) 2213
|
10.1142/S0217732395002374
|
IFUNAM FT 95-78, KL-TH 95/18
|
hep-th cond-mat funct-an math.FA nlin.SI solv-int
| null |
Translationally invariant symmetric polynomials as coordinates for $N$-body
problems with identical particles are proposed. It is shown that in those
coordinates the Calogero and Sutherland $N$-body Hamiltonians, after
appropriate gauge transformations, can be presented as a {\it quadratic}
polynomial in the generators of the algebra $sl_N$ in finite-dimensional
degenerate representation. The exact solvability of these models follows from
the existence of the infinite flag of such representation spaces, preserved by
the above Hamiltonians. A connection with Jack polynomials is discussed.
|
[
{
"created": "Fri, 16 Jun 1995 16:33:32 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 1995 16:52:36 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Ruhl",
"Werner",
""
],
[
"Turbiner",
"Alexander",
""
]
] |
Translationally invariant symmetric polynomials as coordinates for $N$-body problems with identical particles are proposed. It is shown that in those coordinates the Calogero and Sutherland $N$-body Hamiltonians, after appropriate gauge transformations, can be presented as a {\it quadratic} polynomial in the generators of the algebra $sl_N$ in finite-dimensional degenerate representation. The exact solvability of these models follows from the existence of the infinite flag of such representation spaces, preserved by the above Hamiltonians. A connection with Jack polynomials is discussed.
| 11.432875
| 10.586477
| 12.362713
| 10.281619
| 10.190185
| 10.180876
| 10.168788
| 10.043528
| 10.74792
| 12.660577
| 10.247458
| 10.079758
| 10.489554
| 9.900881
| 9.849319
| 9.995548
| 10.227937
| 9.96185
| 9.979693
| 11.005764
| 10.641359
|
0804.0176
|
Masakazu Sano
|
Masakazu Sano, Hisao Suzuki
|
Moduli fixing and T-duality in Type II brane gas models
|
Revtex, v4: the dependence of the number of D-brane and KK5-monopole
included in section 5, comments added, v3: 6 pages, Comments and References
added, v2: 5 pages, References added
|
Phys.Rev.D78:064045,2008
|
10.1103/PhysRevD.78.064045
|
EPHOU 08-002
|
hep-th astro-ph gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a compactification with a six-dimensional torus in the type II
brane gas models. We show that the dilaton and the scale of each cycle of the
internal space are fixed in the presence of NS5-brane and Kaluza-Klein
monopoles as well as D-branes with the gauge fields. We can construct various
models that lead to fixed moduli by using T-duality transformations.
|
[
{
"created": "Tue, 1 Apr 2008 13:45:28 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Apr 2008 09:08:40 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Jun 2008 08:38:37 GMT",
"version": "v3"
},
{
"created": "Thu, 17 Jul 2008 08:05:43 GMT",
"version": "v4"
}
] |
2008-12-07
|
[
[
"Sano",
"Masakazu",
""
],
[
"Suzuki",
"Hisao",
""
]
] |
We consider a compactification with a six-dimensional torus in the type II brane gas models. We show that the dilaton and the scale of each cycle of the internal space are fixed in the presence of NS5-brane and Kaluza-Klein monopoles as well as D-branes with the gauge fields. We can construct various models that lead to fixed moduli by using T-duality transformations.
| 12.7469
| 10.742389
| 12.33744
| 10.119604
| 10.763008
| 10.957903
| 10.905105
| 9.985801
| 9.686682
| 14.353925
| 9.966269
| 10.767944
| 11.620514
| 10.674118
| 10.718975
| 11.024854
| 10.736197
| 10.346939
| 10.780911
| 11.575883
| 10.52165
|
1110.0672
|
Krzysztof Andrzejewski
|
K. Andrzejewski, J. Gonera, P. Machalski, K. Bolonek-Lason
|
On the triviality of higher derivative thoeries
|
few misprints corrected
| null |
10.1016/j.physletb.2011.11.024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The higher-derivative theories with degenerate frequencies exhibit BRST
symmetry (O. Rivelles, Phys. Lett. B577 (2003), 147). In the present paper
meaning of BRST invariance condition is analyzed. The BRST symmetry is related
to nondiagonalizability of the Hamiltonian and it is shown that BRST condition
singles out the subspace spanned by proper eigenvectors of the Hamiltonian.
|
[
{
"created": "Tue, 4 Oct 2011 13:11:13 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Oct 2011 13:31:15 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Andrzejewski",
"K.",
""
],
[
"Gonera",
"J.",
""
],
[
"Machalski",
"P.",
""
],
[
"Bolonek-Lason",
"K.",
""
]
] |
The higher-derivative theories with degenerate frequencies exhibit BRST symmetry (O. Rivelles, Phys. Lett. B577 (2003), 147). In the present paper meaning of BRST invariance condition is analyzed. The BRST symmetry is related to nondiagonalizability of the Hamiltonian and it is shown that BRST condition singles out the subspace spanned by proper eigenvectors of the Hamiltonian.
| 10.789364
| 13.210199
| 11.262252
| 10.715575
| 11.372755
| 12.103127
| 11.29529
| 11.101589
| 11.09271
| 12.540948
| 10.359859
| 10.566241
| 10.820785
| 9.820635
| 10.476053
| 10.016348
| 10.101906
| 10.291179
| 10.01021
| 10.132685
| 9.452977
|
hep-th/0403089
|
Mu-In Park
|
Mu-In Park
|
Fate of Three-Dimensional Black Holes Coupled to a Scalar Field and the
Bekenstein-Hawking Entropy
|
added discussions in Sec.5 and related references, to appear at
Phys.Lett. B
|
Phys.Lett. B597 (2004) 237-242
|
10.1016/j.physletb.2004.07.023
| null |
hep-th
| null |
Three-dimensional black holes coupled to a self-interacting scalar field is
considered. It is known that its statistical entropy $a' la$ Strominger does
$not$ agree with the Bekenstein-Hawking (BH) entropy. However I show that, by a
careful treatment of the vacuum state in the {\it canonical} ensemble with a
fixed temperature, which is the same as that of the BTZ black hole without the
scalar field, the BH entropy is exactly produced by the Cardy's formula. I
discuss its several implications, including the fate of black holes,
no-scalar-hair theorems, stability, mirror black holes, and one-loop
corrections.
|
[
{
"created": "Mon, 8 Mar 2004 16:08:05 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 2004 12:39:57 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Jul 2004 08:52:24 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Park",
"Mu-In",
""
]
] |
Three-dimensional black holes coupled to a self-interacting scalar field is considered. It is known that its statistical entropy $a' la$ Strominger does $not$ agree with the Bekenstein-Hawking (BH) entropy. However I show that, by a careful treatment of the vacuum state in the {\it canonical} ensemble with a fixed temperature, which is the same as that of the BTZ black hole without the scalar field, the BH entropy is exactly produced by the Cardy's formula. I discuss its several implications, including the fate of black holes, no-scalar-hair theorems, stability, mirror black holes, and one-loop corrections.
| 12.225609
| 11.650587
| 11.779088
| 10.637673
| 11.555982
| 12.0622
| 12.378404
| 10.954911
| 11.535711
| 13.208001
| 11.067345
| 11.174176
| 11.2934
| 10.921413
| 10.9469
| 11.024368
| 10.925044
| 10.808743
| 10.775051
| 11.598472
| 11.392026
|
hep-th/0405275
|
Patrick Dorey
|
Patrick Dorey and J. Luis Miramontes
|
Mass scales and crossover phenomena in the Homogeneous Sine-Gordon
Models
|
LaTeX, 55 pages, many figures
|
Nucl.Phys. B697 (2004) 405-461
|
10.1016/j.nuclphysb.2004.07.019
|
DCPT-02/81, SPhT-T04/048
|
hep-th
| null |
The finite-size behaviours of the homogeneous sine-Gordon models are analysed
in detail, using the thermodynamic Bethe ansatz. Crossovers are observed which
allow scales associated with both stable and unstable quantum particles to be
picked up. By introducing the concept of shielding, we show that these match
precisely with the mass scales found classically, supporting the idea that the
full set of unstable particle states persists even far from the semiclassical
regime. General rules for the effective TBA systems governing individual
crossovers are given, and we also comment on the Lagrangian treatment of the
theories, novel issues which arise in the form-factor approach for theories
with unstable particles, and the role of heterotic cosets in the staircase
flows exhibited by the HSG models.
|
[
{
"created": "Sat, 29 May 2004 13:30:05 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Dorey",
"Patrick",
""
],
[
"Miramontes",
"J. Luis",
""
]
] |
The finite-size behaviours of the homogeneous sine-Gordon models are analysed in detail, using the thermodynamic Bethe ansatz. Crossovers are observed which allow scales associated with both stable and unstable quantum particles to be picked up. By introducing the concept of shielding, we show that these match precisely with the mass scales found classically, supporting the idea that the full set of unstable particle states persists even far from the semiclassical regime. General rules for the effective TBA systems governing individual crossovers are given, and we also comment on the Lagrangian treatment of the theories, novel issues which arise in the form-factor approach for theories with unstable particles, and the role of heterotic cosets in the staircase flows exhibited by the HSG models.
| 19.633602
| 17.781504
| 23.894411
| 17.878119
| 20.461506
| 18.882292
| 18.199673
| 17.714478
| 17.849596
| 26.549984
| 17.7334
| 17.954979
| 21.381525
| 18.486942
| 17.901049
| 17.344009
| 17.584486
| 18.512295
| 18.308052
| 20.943186
| 17.996065
|
1412.7085
|
Michael Gutperle
|
Michael Gutperle and Yi Li
|
Higher Spin Lifshitz Theory and Integrable Systems
|
34 pages, no figures
|
Phys. Rev. D 91, 046012 (2015)
|
10.1103/PhysRevD.91.046012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we construct asymptotically Lifshitz spacetimes in the
Chern-Simons formulation of three dimensional higher spin gravity and relate
the resulting theories to integrable systems which are elements of the KdV
hierarchy.
|
[
{
"created": "Mon, 22 Dec 2014 18:31:31 GMT",
"version": "v1"
}
] |
2015-03-05
|
[
[
"Gutperle",
"Michael",
""
],
[
"Li",
"Yi",
""
]
] |
In this note we construct asymptotically Lifshitz spacetimes in the Chern-Simons formulation of three dimensional higher spin gravity and relate the resulting theories to integrable systems which are elements of the KdV hierarchy.
| 11.233008
| 7.531147
| 8.700713
| 7.228644
| 6.984763
| 6.989879
| 7.471197
| 7.167022
| 7.115372
| 9.22685
| 7.208791
| 7.461736
| 9.01808
| 7.812609
| 7.70088
| 7.663406
| 7.663379
| 7.692841
| 7.725519
| 9.534537
| 7.910779
|
hep-th/0504211
|
Marco Krohn
|
Michael Flohr, Marco Krohn
|
Four-Point Functions in Logarithmic Conformal Field Theories
|
latex 33 pages, 1 figure
|
Nucl.Phys. B743 (2006) 276-306
|
10.1016/j.nuclphysb.2006.02.036
|
ITP-UH-06/05
|
hep-th cond-mat.other
| null |
The generic structure of 4-point functions of fields residing in
indecomposable representations of arbitrary rank is given. The used algorithm
is described and we present all results for Jordan-rank $r=2$ and $r=3$ where
we make use of permutation symmetry and use a graphical representation for the
results. A number of remaining degrees of freedom which can show up in the
correlator are discussed in detail. Finally we present the results for
two-logarithmic fields for arbitrary Jordan-rank.
|
[
{
"created": "Tue, 26 Apr 2005 14:13:12 GMT",
"version": "v1"
}
] |
2010-04-05
|
[
[
"Flohr",
"Michael",
""
],
[
"Krohn",
"Marco",
""
]
] |
The generic structure of 4-point functions of fields residing in indecomposable representations of arbitrary rank is given. The used algorithm is described and we present all results for Jordan-rank $r=2$ and $r=3$ where we make use of permutation symmetry and use a graphical representation for the results. A number of remaining degrees of freedom which can show up in the correlator are discussed in detail. Finally we present the results for two-logarithmic fields for arbitrary Jordan-rank.
| 17.895172
| 13.86578
| 17.097431
| 14.51137
| 13.634336
| 16.145306
| 14.311604
| 14.734842
| 14.126506
| 20.670761
| 14.661063
| 14.815952
| 15.688336
| 14.708416
| 14.912075
| 15.895215
| 14.97336
| 14.772923
| 15.520562
| 15.916058
| 14.904157
|
0907.4265
|
Sergio Zerbini
|
Roberto Di Criscienzo and Sergio Zerbini
|
Functional Determinants in Higher Derivative Lagrangian Theories
|
12 pages, no figures, error sign corrected in section 3, conclusions
unchanged, one reference added
|
J.Math.Phys.50:103517,2009; Erratum-ibid.51:059901,2010
|
10.1063/1.3231788 10.1063/1.3427320
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the considerable success of alternative theories of gravity, we
consider the toy model of a higher derivative Lagrangian theory, namely the
Pais-Uhlenbeck oscillator studied in a recent paper by Hawking-Hertog. Its
Euclidean Path Integral is studied with a certain detail and a pedagogical
derivation of the propagator, which makes use of a Theorem due to Forman, is
consequently proposed
|
[
{
"created": "Fri, 24 Jul 2009 11:28:09 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 2010 12:44:34 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Di Criscienzo",
"Roberto",
""
],
[
"Zerbini",
"Sergio",
""
]
] |
Motivated by the considerable success of alternative theories of gravity, we consider the toy model of a higher derivative Lagrangian theory, namely the Pais-Uhlenbeck oscillator studied in a recent paper by Hawking-Hertog. Its Euclidean Path Integral is studied with a certain detail and a pedagogical derivation of the propagator, which makes use of a Theorem due to Forman, is consequently proposed
| 19.988998
| 18.337387
| 20.026443
| 18.887739
| 20.684568
| 20.697262
| 20.548237
| 20.262346
| 17.843435
| 21.562933
| 18.806196
| 19.484755
| 19.715549
| 19.115946
| 20.632572
| 20.59771
| 19.906839
| 19.312641
| 18.53562
| 19.926456
| 18.779596
|
hep-th/9707133
|
Hitoshi Murayama
|
Nima Arkani-Hamed and Hitoshi Murayama (UC Berkeley, LBNL)
|
Holomorphy, Rescaling Anomalies and Exact beta Functions in
Supersymmetric Gauge Theories
|
35 pages, LaTeX, no special macros
|
JHEP 0006:030,2000
|
10.1088/1126-6708/2000/06/030
|
UCB-PTH-97/38, LBNL-40460
|
hep-th hep-ph
| null |
There have been known "exact" beta functions for the gauge coupling in N=1
supersymmetric gauge theories, the so-called NSVZ beta functions. Shifman and
Vainshtein (SV) further related these beta functions to the exact 1-loop
running of the "Wilsonian" gauge coupling. All these results, however, remain
somewhat mysterious. We attempt to clarify these issues by presenting new
perspectives on the NSVZ beta function. Our interpretation of the results is
somewhat different than the one given by SV, having nothing to do with the
distinction between "Wilsonian" and "1PI" effective actions. Throughout we work
in the context of the Wilsonian Renormalization Group; namely, as the cutoff of
the theory is changed from M to M', we determine the appropriate changes in the
bare couplings needed to keep the low energy physics fixed. The entire analysis
is therefore free of infrared subtleties. When the bare Lagrangian given at the
cutoff is manifestly holomorphic in the gauge coupling, we show that the
required change in the holomorphic gauge coupling is exhausted at 1-loop to all
orders of perturbation theory, and even non-perturbatively in some cases. On
the other hand, when the bare Lagrangian has canonically normalized kinetic
terms, we find that the required change in the gauge coupling is given by the
NSVZ beta function. The higher order contributions in the NSVZ beta function
are due to anomalous Jacobians under the rescaling of the fields done in
passing from holomorphic to canonical normalization. We also give prescriptions
for regularizing certain N=1 theories with an ultraviolet cutoff M preserving
manifest holomorphy, starting from finite N=4 and N=2 theories. It is then in
principle possible to check the validity of the exact beta function by higher
order calculations in these theories.
|
[
{
"created": "Mon, 14 Jul 1997 19:26:51 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Arkani-Hamed",
"Nima",
"",
"UC Berkeley, LBNL"
],
[
"Murayama",
"Hitoshi",
"",
"UC Berkeley, LBNL"
]
] |
There have been known "exact" beta functions for the gauge coupling in N=1 supersymmetric gauge theories, the so-called NSVZ beta functions. Shifman and Vainshtein (SV) further related these beta functions to the exact 1-loop running of the "Wilsonian" gauge coupling. All these results, however, remain somewhat mysterious. We attempt to clarify these issues by presenting new perspectives on the NSVZ beta function. Our interpretation of the results is somewhat different than the one given by SV, having nothing to do with the distinction between "Wilsonian" and "1PI" effective actions. Throughout we work in the context of the Wilsonian Renormalization Group; namely, as the cutoff of the theory is changed from M to M', we determine the appropriate changes in the bare couplings needed to keep the low energy physics fixed. The entire analysis is therefore free of infrared subtleties. When the bare Lagrangian given at the cutoff is manifestly holomorphic in the gauge coupling, we show that the required change in the holomorphic gauge coupling is exhausted at 1-loop to all orders of perturbation theory, and even non-perturbatively in some cases. On the other hand, when the bare Lagrangian has canonically normalized kinetic terms, we find that the required change in the gauge coupling is given by the NSVZ beta function. The higher order contributions in the NSVZ beta function are due to anomalous Jacobians under the rescaling of the fields done in passing from holomorphic to canonical normalization. We also give prescriptions for regularizing certain N=1 theories with an ultraviolet cutoff M preserving manifest holomorphy, starting from finite N=4 and N=2 theories. It is then in principle possible to check the validity of the exact beta function by higher order calculations in these theories.
| 7.672204
| 8.443474
| 8.156952
| 7.593057
| 7.950452
| 7.778075
| 8.580595
| 7.762287
| 7.784894
| 8.492426
| 7.733978
| 7.464378
| 7.433184
| 7.43294
| 7.435563
| 7.497837
| 7.644502
| 7.503701
| 7.376086
| 7.724583
| 7.412913
|
0706.0728
|
Partouche Herv\'e
|
Costas Kounnas (Ecole Normale Superieure) and Herve Partouche (Ecole
Polytechnique)
|
Inflationary de Sitter solutions from superstrings
|
37 pages, 4 eps figures
|
Nucl.Phys.B795:334-360,2008
|
10.1016/j.nuclphysb.2007.11.020
|
LPTENS-07/22, CPHT-RR025.0407
|
hep-th gr-qc hep-ph
| null |
In the framework of superstring compactifications with N=1 supersymmetry
spontaneously broken, (by either geometrical fluxes, branes or else), we show
the existence of new inflationary solutions. The time-trajectory of the scale
factor of the metric a, the supersymmetry breaking scale m=m(Phi) and the
temperature T are such that am and aT remain constant. These solutions request
the presence of special moduli-fields: i) The universal "no-scale-modulus" Phi,
which appears in all N=1 effective supergravity theories and defines the
supersymmetry breaking scale m(Phi). ii) The modulus Phi_s, which appears in a
very large class of string compactifications and has a Phi-dependent kinetic
term. During the time evolution, a^4 rho_s remains constant as well, (rho_s
being the energy density induced by the motion of Phi_s). The cosmological term
Lambda(am), the curvature term k(am, aT) and the radiation term c_R=a^4 rho are
dynamically generated in a controllable way by radiative and temperature
corrections; they are effectively constant during the time evolution. Depending
on Lambda, k and c_R, either a first or second order phase transition can occur
in the cosmological scenario. In the first case, an instantonic Euclidean
solution exists and connects via tunneling the inflationary evolution to
another cosmological branch. The latter starts with a big bang and, in the case
the transition does not occur, ends with a big crunch. In the second case, the
big bang and the inflationary phase are smoothly connected.
|
[
{
"created": "Tue, 5 Jun 2007 19:53:19 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Aug 2007 20:48:18 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Nov 2007 14:45:36 GMT",
"version": "v3"
},
{
"created": "Sun, 20 Jan 2008 21:09:04 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Kounnas",
"Costas",
"",
"Ecole Normale Superieure"
],
[
"Partouche",
"Herve",
"",
"Ecole\n Polytechnique"
]
] |
In the framework of superstring compactifications with N=1 supersymmetry spontaneously broken, (by either geometrical fluxes, branes or else), we show the existence of new inflationary solutions. The time-trajectory of the scale factor of the metric a, the supersymmetry breaking scale m=m(Phi) and the temperature T are such that am and aT remain constant. These solutions request the presence of special moduli-fields: i) The universal "no-scale-modulus" Phi, which appears in all N=1 effective supergravity theories and defines the supersymmetry breaking scale m(Phi). ii) The modulus Phi_s, which appears in a very large class of string compactifications and has a Phi-dependent kinetic term. During the time evolution, a^4 rho_s remains constant as well, (rho_s being the energy density induced by the motion of Phi_s). The cosmological term Lambda(am), the curvature term k(am, aT) and the radiation term c_R=a^4 rho are dynamically generated in a controllable way by radiative and temperature corrections; they are effectively constant during the time evolution. Depending on Lambda, k and c_R, either a first or second order phase transition can occur in the cosmological scenario. In the first case, an instantonic Euclidean solution exists and connects via tunneling the inflationary evolution to another cosmological branch. The latter starts with a big bang and, in the case the transition does not occur, ends with a big crunch. In the second case, the big bang and the inflationary phase are smoothly connected.
| 11.919878
| 14.229714
| 12.365682
| 12.587585
| 13.04305
| 13.654016
| 13.602487
| 12.777461
| 12.096424
| 13.814734
| 12.512347
| 11.965369
| 12.050604
| 11.589861
| 11.659218
| 11.90665
| 11.631437
| 11.81815
| 11.631784
| 11.611869
| 11.634413
|
2009.07201
|
Lissa De Souza Campos
|
Lissa de Souza Campos, Claudio Dappiaggi
|
Comments on the anti-Hawking effect on a BTZ black hole spacetime
|
6 pages, 7 figures, typos and sign corrected, one figure updated
|
Phys. Lett. B 816 (2021) 136198
|
10.1016/j.physletb.2021.136198
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the transition rate of an Unruh-DeWitt detector coupled both to a
ground state and to a KMS state of a massless, conformally coupled scalar field
on a static BTZ black hole with Robin boundary conditions. We observe that,
although the anti-Hawking effect is manifest for the ground state, this is not
the case for the KMS state. In addition, we show that our analysis applies with
minor modifications also to the anti-Unruh effect on Rindler-AdS$_3$ spacetime.
|
[
{
"created": "Tue, 15 Sep 2020 16:32:02 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 2020 16:36:25 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Mar 2021 07:40:36 GMT",
"version": "v3"
}
] |
2021-03-30
|
[
[
"Campos",
"Lissa de Souza",
""
],
[
"Dappiaggi",
"Claudio",
""
]
] |
We compute the transition rate of an Unruh-DeWitt detector coupled both to a ground state and to a KMS state of a massless, conformally coupled scalar field on a static BTZ black hole with Robin boundary conditions. We observe that, although the anti-Hawking effect is manifest for the ground state, this is not the case for the KMS state. In addition, we show that our analysis applies with minor modifications also to the anti-Unruh effect on Rindler-AdS$_3$ spacetime.
| 6.4474
| 6.284314
| 6.408542
| 6.062063
| 5.650411
| 5.703855
| 6.199784
| 6.023163
| 6.278836
| 6.292264
| 5.481629
| 5.597888
| 5.83427
| 5.706828
| 5.921849
| 5.582128
| 5.805206
| 5.5512
| 6.11227
| 6.205675
| 5.897831
|
1701.04287
|
Yeuk-Kwan Edna Cheung
|
Lei Ming, Taifan Zheng, and Yeuk-Kwan E. Cheung
|
Following the density perturbations through a bounce with AdS/CFT
Correspondence
|
19 pages, 4 figures
|
Eur.Phys.J. C78 (2018) no.9, 761
|
10.1140/epjc/s10052-018-6228-8
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A bounce universe model, known as the coupled-scalar-tachyon bounce (CSTB)
universe, has been shown to solve the Horizon, Flatness and Homogeneity
problems as well as the Big Bang Singularity problem. Furthermore a scale
invariant spectrum of primordial density perturbations generated from the phase
of pre-bounce contraction is shown to be stable against time evolution. In this
work we study the detailed dynamics of the bounce and its imprints on the scale
invariance of the spectrum. The dynamics of the gravitational interactions near
the bounce point may be strongly coupled as the spatial curvature becomes big.
There is no a prior reason to expect the spectral index of the primordial
perturbations of matter density can be preserved. By encoding the bounce
dynamics holographically onto the dynamics of dual Yang-Mills system while the
latter is weakly coupled, via the AdS/CFT correspondence, we can safely evolve
the spectrum of the cosmic perturbations with full control. In this way we can
compare the post-bounce spectrum with the pre-bounce one: in the CSTB model we
explicitly show that the spectrum of primordial density perturbations generated
in the contraction phase preserves its stability as well as scale invariance
throughout the bounce process.
|
[
{
"created": "Mon, 16 Jan 2017 13:44:20 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jan 2019 13:07:56 GMT",
"version": "v2"
}
] |
2019-01-23
|
[
[
"Ming",
"Lei",
""
],
[
"Zheng",
"Taifan",
""
],
[
"Cheung",
"Yeuk-Kwan E.",
""
]
] |
A bounce universe model, known as the coupled-scalar-tachyon bounce (CSTB) universe, has been shown to solve the Horizon, Flatness and Homogeneity problems as well as the Big Bang Singularity problem. Furthermore a scale invariant spectrum of primordial density perturbations generated from the phase of pre-bounce contraction is shown to be stable against time evolution. In this work we study the detailed dynamics of the bounce and its imprints on the scale invariance of the spectrum. The dynamics of the gravitational interactions near the bounce point may be strongly coupled as the spatial curvature becomes big. There is no a prior reason to expect the spectral index of the primordial perturbations of matter density can be preserved. By encoding the bounce dynamics holographically onto the dynamics of dual Yang-Mills system while the latter is weakly coupled, via the AdS/CFT correspondence, we can safely evolve the spectrum of the cosmic perturbations with full control. In this way we can compare the post-bounce spectrum with the pre-bounce one: in the CSTB model we explicitly show that the spectrum of primordial density perturbations generated in the contraction phase preserves its stability as well as scale invariance throughout the bounce process.
| 9.125367
| 9.436292
| 8.59654
| 8.458232
| 8.933786
| 8.993701
| 9.906485
| 8.599861
| 9.131641
| 9.805346
| 8.784859
| 8.775062
| 9.026199
| 8.758032
| 8.77348
| 9.103135
| 8.766898
| 8.679559
| 8.698586
| 8.959357
| 8.717515
|
hep-th/0510094
|
Hideki Ishihara
|
Hideki Ishihara, Ken Matsuno
|
Kaluza-Klein Black Holes with Squashed Horizons
|
9pages. Final version to appear in Progress of Theoretical Physics
|
Prog.Theor.Phys. 116 (2006) 417-422
|
10.1143/PTP.116.417
|
OCU-PHYS 235, AP-GR 27
|
hep-th gr-qc
| null |
We study geometrical structures of charged static black holes in the
five-dimensional Einstein-Maxwell theory. The black holes we study have
horizons in the form of squashed $ {\rm S}^3$, and their asymptotic structure
consists of a twisted ${\rm S}^1$ bundle over the four-dimensional flat
spacetime at the spatial infinity. The spacetime we consider is fully
five-dimensional in the vicinity of the black hole and four-dimensional with a
compact extra dimension at infinity.
|
[
{
"created": "Wed, 12 Oct 2005 08:32:39 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Aug 2006 06:13:42 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Ishihara",
"Hideki",
""
],
[
"Matsuno",
"Ken",
""
]
] |
We study geometrical structures of charged static black holes in the five-dimensional Einstein-Maxwell theory. The black holes we study have horizons in the form of squashed $ {\rm S}^3$, and their asymptotic structure consists of a twisted ${\rm S}^1$ bundle over the four-dimensional flat spacetime at the spatial infinity. The spacetime we consider is fully five-dimensional in the vicinity of the black hole and four-dimensional with a compact extra dimension at infinity.
| 7.95428
| 7.71708
| 8.321137
| 7.492989
| 7.960581
| 7.988433
| 7.890762
| 7.811056
| 8.162031
| 8.858392
| 7.535449
| 7.291628
| 7.62437
| 7.537923
| 7.814052
| 7.714921
| 7.888471
| 7.469188
| 7.68715
| 7.708108
| 7.58453
|
hep-th/9612112
|
Henrique Boschi Filho
|
P. F. Borges, H. Boschi-Filho and C. Farina
|
Generalized partition functions and interpolating statistics
|
12 pages, Latex, updated and enlarged version
|
Mod.Phys.Lett. A13 (1998) 843-852
|
10.1142/S0217732398000917
|
MIT-CTP-2636
|
hep-th cond-mat
| null |
We show that the assumption of quasiperiodic boundary conditions (those that
interpolate continuously periodic and antiperiodic conditions) in order to
compute partition functions of relativistic particles in 2+1 space-time can be
related with anyonic physics. In particular, in the low temperature limit, our
result leads to the well known second virial coefficient for anyons. Besides,
we also obtain the high temperature limit as well as the full temperature
dependence of this coefficient.
|
[
{
"created": "Tue, 10 Dec 1996 21:58:50 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Mar 1997 22:33:17 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Feb 1998 21:21:23 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Borges",
"P. F.",
""
],
[
"Boschi-Filho",
"H.",
""
],
[
"Farina",
"C.",
""
]
] |
We show that the assumption of quasiperiodic boundary conditions (those that interpolate continuously periodic and antiperiodic conditions) in order to compute partition functions of relativistic particles in 2+1 space-time can be related with anyonic physics. In particular, in the low temperature limit, our result leads to the well known second virial coefficient for anyons. Besides, we also obtain the high temperature limit as well as the full temperature dependence of this coefficient.
| 11.508842
| 10.49508
| 11.531278
| 10.001791
| 10.901132
| 10.300289
| 12.186048
| 10.166202
| 10.331858
| 11.763846
| 10.964828
| 10.768777
| 10.770327
| 10.255997
| 10.758465
| 11.222118
| 10.639513
| 10.28062
| 10.430177
| 10.68469
| 10.350558
|
0805.3003
|
Hernando Quevedo
|
Hernando Quevedo and Alberto Sanchez
|
Geometrothermodynamics of asymptotically anti - de Sitter black holes
|
Section on statistical ensembles and new references added
|
JHEP 0809:034,2008
|
10.1088/1126-6708/2008/09/034
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the formalism of geometrothermodynamics to the case of black holes
with cosmological constant in four and higher dimensions. We use a
thermodynamic metric which is invariant with respect to Legendre
transformations and determines the geometry of the space of equilibrium states.
For all known black holes in higher dimensions, we show that the curvature
scalar of the thermodynamic metric in all the cases is proportional to the heat
capacity. As a consequence, phase transitions, which correspond to divergencies
of the heat capacity, are represented geometrically as true curvature
singularities. We interpret this as a further indication that the curvature of
the thermodynamic metric is a measure of thermodynamic interaction.
|
[
{
"created": "Tue, 20 May 2008 04:00:58 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Aug 2008 04:03:46 GMT",
"version": "v2"
}
] |
2009-12-10
|
[
[
"Quevedo",
"Hernando",
""
],
[
"Sanchez",
"Alberto",
""
]
] |
We apply the formalism of geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions. We use a thermodynamic metric which is invariant with respect to Legendre transformations and determines the geometry of the space of equilibrium states. For all known black holes in higher dimensions, we show that the curvature scalar of the thermodynamic metric in all the cases is proportional to the heat capacity. As a consequence, phase transitions, which correspond to divergencies of the heat capacity, are represented geometrically as true curvature singularities. We interpret this as a further indication that the curvature of the thermodynamic metric is a measure of thermodynamic interaction.
| 4.940306
| 5.330717
| 4.650562
| 4.520793
| 5.263624
| 5.182392
| 5.480015
| 4.401755
| 5.373728
| 4.797729
| 4.936178
| 4.980087
| 4.638802
| 4.509076
| 4.980738
| 4.848616
| 4.819898
| 4.485345
| 4.929034
| 4.581422
| 4.847823
|
hep-th/9307140
|
Senarath P. de Alwis
|
S. P. de Alwis
|
On the Passage from the Quantum theory to the Semi-Classical theory
|
19 pages, COLO-HEP-318
|
Phys.Lett.B317:46-52,1993
|
10.1016/0370-2693(93)91568-8
| null |
hep-th gr-qc
| null |
In this paper an attempt is made to understand the passage from the exact
quantum treatment of the CGHS theory to the semi-classical physics discussed by
many authors. We find first that to the order of accuracy to which Hawking
effects are calculated in the theory, it is inconsistent to ignore correlations
in the dilaton gravity sector. Next the standard Dirac or BRST procedure for
implementing the constraints is followed. This leads to a set of physical
states, in which however the semi-classical physics of the theory seems to be
completely obscured. As an alternative, we construct a coherent state
formalism, which is the natural framework for understanding the semi-classical
calculations, and argue that it satisfies all necessary requirements of the
theory, provided that there exist classical ghost configurations which solve an
infinite set of equations. If this is the case it may be interpreted as a
spontaneous breakdown of general covariance.
|
[
{
"created": "Thu, 22 Jul 1993 19:09:08 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"de Alwis",
"S. P.",
""
]
] |
In this paper an attempt is made to understand the passage from the exact quantum treatment of the CGHS theory to the semi-classical physics discussed by many authors. We find first that to the order of accuracy to which Hawking effects are calculated in the theory, it is inconsistent to ignore correlations in the dilaton gravity sector. Next the standard Dirac or BRST procedure for implementing the constraints is followed. This leads to a set of physical states, in which however the semi-classical physics of the theory seems to be completely obscured. As an alternative, we construct a coherent state formalism, which is the natural framework for understanding the semi-classical calculations, and argue that it satisfies all necessary requirements of the theory, provided that there exist classical ghost configurations which solve an infinite set of equations. If this is the case it may be interpreted as a spontaneous breakdown of general covariance.
| 14.674526
| 15.022055
| 14.416331
| 13.890625
| 15.581193
| 16.021046
| 15.036656
| 14.53635
| 14.566191
| 15.541066
| 14.231201
| 14.063447
| 14.127335
| 13.895978
| 13.833591
| 14.386744
| 14.393019
| 14.511511
| 14.315183
| 14.301691
| 13.69123
|
0909.2245
|
Christopher Beem
|
Mina Aganagic and Christopher Beem
|
The Geometry of D-Brane Superpotentials
|
v2: 30 pages, harvmac; appendix added, reference added, typos
corrected
|
JHEP 1112 (2011) 060
|
10.1007/JHEP12(2011)060
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The disk partition function of the open topological string computes the
spacetime superpotential for D-branes wrapping cycles of a compact Calabi-Yau
threefold. We use string duality to show that when appropriately formulated,
the problem admits a natural geometrization in terms of a non-compact
Calabi-Yau fourfold without D-branes. The duality relates the D-brane
superpotential to a flux superpotential on the fourfold. This sheds light on
several features of superpotential computations appearing in the literature, in
particular on the observation that Calabi-Yau fourfold geometry enters the
problem. In one of our examples, we show that the geometry of fourfolds also
reproduces the D-brane superpotentials obtained from matrix factorization
methods.
|
[
{
"created": "Fri, 11 Sep 2009 19:54:36 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2009 22:15:25 GMT",
"version": "v2"
}
] |
2011-12-20
|
[
[
"Aganagic",
"Mina",
""
],
[
"Beem",
"Christopher",
""
]
] |
The disk partition function of the open topological string computes the spacetime superpotential for D-branes wrapping cycles of a compact Calabi-Yau threefold. We use string duality to show that when appropriately formulated, the problem admits a natural geometrization in terms of a non-compact Calabi-Yau fourfold without D-branes. The duality relates the D-brane superpotential to a flux superpotential on the fourfold. This sheds light on several features of superpotential computations appearing in the literature, in particular on the observation that Calabi-Yau fourfold geometry enters the problem. In one of our examples, we show that the geometry of fourfolds also reproduces the D-brane superpotentials obtained from matrix factorization methods.
| 7.246849
| 6.910639
| 9.147679
| 7.086051
| 7.274289
| 6.902527
| 6.962742
| 6.591556
| 6.911863
| 9.103919
| 6.578272
| 6.946907
| 8.054213
| 7.070973
| 6.965856
| 6.844025
| 6.888306
| 6.933001
| 7.258553
| 7.768847
| 6.842899
|
hep-th/0012249
|
Michael Duff
|
M. J. Duff
|
State of the Unification Address
|
16 pages, Latex. Plenary talk delivered at The Division of Particles
and Fields Meeting of The American Physical Society, August 9-12 2000, Ohio
State University. Minor corrections and references added
|
Int.J.Mod.Phys. A16S1A (2001) 77-91
|
10.1142/S0217751X01006322
|
MCTP-00-01
|
hep-th gr-qc hep-ph
| null |
After reviewing how M-theory subsumes string theory, I report on some new and
interesting developments, focusing on the ``brane-world'': circumventing no-go
theorems for supersymmetric brane-worlds, complementarity of the Maldacena and
Randall-Sundrum pictures; self-tuning of the cosmological constant. I conclude
with the top ten unsolved problems.
|
[
{
"created": "Wed, 27 Dec 2000 18:04:14 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2001 19:33:18 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Duff",
"M. J.",
""
]
] |
After reviewing how M-theory subsumes string theory, I report on some new and interesting developments, focusing on the ``brane-world'': circumventing no-go theorems for supersymmetric brane-worlds, complementarity of the Maldacena and Randall-Sundrum pictures; self-tuning of the cosmological constant. I conclude with the top ten unsolved problems.
| 14.705855
| 11.74409
| 11.516848
| 11.394734
| 12.167545
| 11.58911
| 11.486699
| 11.941851
| 11.558108
| 12.155972
| 11.782846
| 11.33213
| 12.154521
| 11.83555
| 11.724802
| 11.508874
| 11.528205
| 12.065904
| 11.377378
| 12.619729
| 12.427563
|
2210.15695
|
Minwoo Suh
|
Christopher Couzens, Hyojoong Kim, Nakwoo Kim, Yein Lee, Minwoo Suh
|
D4-branes wrapped on four-dimensional orbifolds through consistent
truncation
|
v2: 49 pages, 3 figures, minor changes, published version
|
JHEP 2302 (2023) 025
|
10.1007/JHEP02(2023)025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a consistent truncation of six-dimensional matter coupled $F(4)$
gauged supergravity on a cornucopia of two-dimensional surfaces including a
spindle, disc, domain wall and other novel backgrounds to four-dimensional
minimal gauged supergravity. Using our consistent truncation we uplift known
AdS$_2\times {\Sigma}_1$ solutions giving rise to four-dimensional orbifold
solutions, AdS$_2\times{\Sigma}_1\ltimes{\Sigma}_2$. We further uplift our
solutions to massive type IIA supergravity by constructing the full uplift
formulae for six-dimensional U$(1)^2$-gauged supergravity including all fields
and arbitrary Romans mass and gauge coupling. The solutions we construct are
naturally interpreted as the near-horizon geometries of asymptotically AdS$_6$
black holes with a four-dimensional orbifold horizon. Alternatively, one may
view them as the holographic duals of superconformal quantum mechanical
theories constructed by compactifying five-dimensional USp$(2N)$ theory living
on a stack of D4-D8 branes on the four-dimensional orbifolds. As a first step
to identifying these quantum mechanical theories we compute the
Bekenstein--Hawking entropy holographically.
|
[
{
"created": "Thu, 27 Oct 2022 18:00:31 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2023 14:13:34 GMT",
"version": "v2"
}
] |
2023-02-22
|
[
[
"Couzens",
"Christopher",
""
],
[
"Kim",
"Hyojoong",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Lee",
"Yein",
""
],
[
"Suh",
"Minwoo",
""
]
] |
We construct a consistent truncation of six-dimensional matter coupled $F(4)$ gauged supergravity on a cornucopia of two-dimensional surfaces including a spindle, disc, domain wall and other novel backgrounds to four-dimensional minimal gauged supergravity. Using our consistent truncation we uplift known AdS$_2\times {\Sigma}_1$ solutions giving rise to four-dimensional orbifold solutions, AdS$_2\times{\Sigma}_1\ltimes{\Sigma}_2$. We further uplift our solutions to massive type IIA supergravity by constructing the full uplift formulae for six-dimensional U$(1)^2$-gauged supergravity including all fields and arbitrary Romans mass and gauge coupling. The solutions we construct are naturally interpreted as the near-horizon geometries of asymptotically AdS$_6$ black holes with a four-dimensional orbifold horizon. Alternatively, one may view them as the holographic duals of superconformal quantum mechanical theories constructed by compactifying five-dimensional USp$(2N)$ theory living on a stack of D4-D8 branes on the four-dimensional orbifolds. As a first step to identifying these quantum mechanical theories we compute the Bekenstein--Hawking entropy holographically.
| 8.190536
| 7.799611
| 9.365204
| 7.676374
| 7.615341
| 7.594113
| 7.790125
| 8.227292
| 7.270765
| 9.732088
| 7.893639
| 7.697988
| 8.746159
| 7.733438
| 7.818029
| 7.750866
| 8.141783
| 7.814578
| 7.823649
| 8.432361
| 7.742801
|
0803.3833
|
Herbert Neuberger
|
R. Narayanan (FIU), H. Neuberger (Rutgers), E. Vicari (Pisa)
|
A large N phase transition in the continuum two dimensional SU(N) X
SU(N) principal chiral model
|
15 pages, 6 figures
|
JHEP0804:094,2008
|
10.1088/1126-6708/2008/04/094
| null |
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is established by numerical means that the continuum large N principal
chiral model in two dimensions has a phase transition in a smoothed two point
function at a critical distance of the order of the correlation length.
|
[
{
"created": "Wed, 26 Mar 2008 22:06:37 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Narayanan",
"R.",
"",
"FIU"
],
[
"Neuberger",
"H.",
"",
"Rutgers"
],
[
"Vicari",
"E.",
"",
"Pisa"
]
] |
It is established by numerical means that the continuum large N principal chiral model in two dimensions has a phase transition in a smoothed two point function at a critical distance of the order of the correlation length.
| 21.092169
| 19.276447
| 18.308798
| 17.292706
| 17.396921
| 15.983933
| 17.79454
| 14.685737
| 16.598583
| 24.480467
| 15.648097
| 15.571285
| 20.624628
| 17.900373
| 16.48914
| 17.046886
| 16.053385
| 16.544968
| 17.418221
| 18.595486
| 15.486058
|
hep-th/0506084
|
Subir Ghosh
|
Subir Ghosh (Indian Statistical Institute)
|
The $AdS$ particle
|
The last para and references related to it are new, minor changes,
version to appear in Phys.Lett.B
|
Phys.Lett. B623 (2005) 251-257
|
10.1016/j.physletb.2005.07.055
| null |
hep-th
| null |
In this note we have considered a relativistic Nambu-Goto model for a
particle in $AdS$ metric. With appropriate gauge choice to fix the
reparameterization invariance, we recover the previously discussed \cite{pal}
"Exotic Oscillator". The Snyder algebra and subsequently the
$\kappa$-Minkowski spacetime are also derived. Lastly we comment on the
impossibility of constructing a noncommutative spacetime in the context of open
string where only a curved target space is introduced.
|
[
{
"created": "Fri, 10 Jun 2005 11:06:28 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jun 2005 06:58:51 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Jul 2005 05:15:27 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Ghosh",
"Subir",
"",
"Indian Statistical Institute"
]
] |
In this note we have considered a relativistic Nambu-Goto model for a particle in $AdS$ metric. With appropriate gauge choice to fix the reparameterization invariance, we recover the previously discussed \cite{pal} "Exotic Oscillator". The Snyder algebra and subsequently the $\kappa$-Minkowski spacetime are also derived. Lastly we comment on the impossibility of constructing a noncommutative spacetime in the context of open string where only a curved target space is introduced.
| 14.169968
| 11.363842
| 13.250947
| 11.959317
| 12.015054
| 11.844297
| 11.344197
| 11.701784
| 11.895518
| 14.016894
| 11.521486
| 12.287657
| 12.904778
| 12.059341
| 11.775486
| 11.934061
| 12.242288
| 12.131874
| 11.984592
| 12.291006
| 11.989353
|
1109.0542
|
Leonardo Senatore
|
Leonardo Senatore, Eva Silverstein, and Matias Zaldarriaga
|
New Sources of Gravitational Waves during Inflation
|
32 pages, 1 figure. v2: JCAP published version; some overestimates
corrected; main results unchanged
| null |
10.1088/1475-7516/2014/08/016
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We point out that detectable inflationary tensor modes can be generated by
particle or string sources produced during inflation, consistently with the
requirements for inflation and constraints from scalar fluctuations. We show
via examples that this effect can dominate over the contribution from quantum
fluctuations of the metric, occurring even when the inflationary potential
energy is too low to produce a comparable signal. Thus a detection of tensor
modes from inflation does not automatically constitute a determination of the
inflationary Hubble scale.
|
[
{
"created": "Fri, 2 Sep 2011 20:00:56 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Sep 2014 17:39:26 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Senatore",
"Leonardo",
""
],
[
"Silverstein",
"Eva",
""
],
[
"Zaldarriaga",
"Matias",
""
]
] |
We point out that detectable inflationary tensor modes can be generated by particle or string sources produced during inflation, consistently with the requirements for inflation and constraints from scalar fluctuations. We show via examples that this effect can dominate over the contribution from quantum fluctuations of the metric, occurring even when the inflationary potential energy is too low to produce a comparable signal. Thus a detection of tensor modes from inflation does not automatically constitute a determination of the inflationary Hubble scale.
| 14.560658
| 14.735798
| 13.127151
| 12.991956
| 12.95339
| 14.426358
| 13.966266
| 13.512338
| 13.327645
| 15.273459
| 14.022392
| 12.418763
| 13.055012
| 12.608177
| 12.681633
| 12.703958
| 12.615644
| 13.728615
| 12.043745
| 12.769336
| 13.557292
|
2204.03247
|
Ken Kikuchi
|
Ken Kikuchi
|
Emergent SUSY in two dimensions
|
8 pages+supplemental materials, 10 figures; v2: improved exposition
| null | null | null |
hep-th cond-mat.str-el math.CT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a renormalization group flow with emergent supersymmetry in two
dimensions from a non-Lagrangian theory. The ultraviolet theory does not have
supersymmetry while the infrared theory does. We constrain the flow both
analytically and numerically (truncated conformal space approach). Analytic
constraints include a new spin constraint.
|
[
{
"created": "Thu, 7 Apr 2022 06:34:15 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Dec 2022 03:43:27 GMT",
"version": "v2"
}
] |
2022-12-27
|
[
[
"Kikuchi",
"Ken",
""
]
] |
We propose a renormalization group flow with emergent supersymmetry in two dimensions from a non-Lagrangian theory. The ultraviolet theory does not have supersymmetry while the infrared theory does. We constrain the flow both analytically and numerically (truncated conformal space approach). Analytic constraints include a new spin constraint.
| 9.654383
| 8.774796
| 10.467125
| 8.278004
| 9.183842
| 9.244898
| 9.747421
| 8.67013
| 8.983661
| 11.888573
| 8.73862
| 8.776776
| 10.83247
| 8.800323
| 8.348611
| 8.453979
| 8.818859
| 9.259518
| 8.882063
| 9.596819
| 8.574437
|
1206.3982
|
Ion Vasile Vancea
|
M. C. B. Abdalla, L. Holender, M. A. Santos, I. V. Vancea
|
Noncommutative fluid dynamics in the Snyder space-time
|
12 pages. Version published by Phys. Rev. D
| null |
10.1103/PhysRevD.86.045019
|
ICTP-SAIFR/2012-004
|
hep-th gr-qc physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we construct for the first time the non-commutative fluid with
the deformed Poincare invariance. To this end, the realization formalism of the
noncommutative spaces is employed and the results are particularized to the
Snyder space. The non-commutative fluid generalizes the fluid model in the
action functional formulation to the noncommutative space. The fluid equations
of motion and the conserved energy-momentum tensor are obtained.
|
[
{
"created": "Mon, 18 Jun 2012 16:24:13 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Aug 2012 12:36:51 GMT",
"version": "v2"
}
] |
2016-11-11
|
[
[
"Abdalla",
"M. C. B.",
""
],
[
"Holender",
"L.",
""
],
[
"Santos",
"M. A.",
""
],
[
"Vancea",
"I. V.",
""
]
] |
In this paper, we construct for the first time the non-commutative fluid with the deformed Poincare invariance. To this end, the realization formalism of the noncommutative spaces is employed and the results are particularized to the Snyder space. The non-commutative fluid generalizes the fluid model in the action functional formulation to the noncommutative space. The fluid equations of motion and the conserved energy-momentum tensor are obtained.
| 8.132744
| 7.551813
| 7.712778
| 7.007883
| 7.769116
| 8.279514
| 7.760561
| 6.932939
| 7.844666
| 8.464256
| 7.190373
| 7.533666
| 7.860632
| 7.420421
| 7.518774
| 7.521091
| 7.293589
| 7.432094
| 7.477525
| 7.666937
| 7.764559
|
0908.0417
|
Simon F. Ross
|
Jassem H. Al-Alawi and Simon F. Ross
|
Spectral Flow of the Non-Supersymmetric Microstates of the D1-D5-KK
System
|
12 pages, no figures
|
JHEP 0910:082,2009
|
10.1088/1126-6708/2009/10/082
|
DCPT-09/53
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a realisation of spectral flow as a coordinate transformation
for asymptotically four-dimensional solutions can be extended to the
non-supersymmetric case. We apply this transformation to smooth geometries
describing microstates of the D1-D5-KK monopole system in type IIB supergravity
compactified on a six-torus, and obtain solutions with an additional momentum
charge. We study the supersymmetric and near-core limits of this construction.
|
[
{
"created": "Tue, 4 Aug 2009 09:27:07 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Al-Alawi",
"Jassem H.",
""
],
[
"Ross",
"Simon F.",
""
]
] |
We show that a realisation of spectral flow as a coordinate transformation for asymptotically four-dimensional solutions can be extended to the non-supersymmetric case. We apply this transformation to smooth geometries describing microstates of the D1-D5-KK monopole system in type IIB supergravity compactified on a six-torus, and obtain solutions with an additional momentum charge. We study the supersymmetric and near-core limits of this construction.
| 10.166277
| 9.849489
| 11.671288
| 9.036115
| 9.682348
| 9.647923
| 9.893936
| 9.303496
| 8.262926
| 13.327263
| 8.902565
| 9.359084
| 9.828712
| 8.757117
| 9.279819
| 8.890046
| 8.943689
| 8.839847
| 9.03959
| 9.700301
| 8.483075
|
hep-th/9909027
|
Koji Hashimoto
|
Koji Hashimoto
|
Corrections to D-brane Action and Generalized Boundary State
|
21 pages, LaTeX, 2 eps figures, a reference added, typos corrected
|
Phys.Rev. D61 (2000) 106002
|
10.1103/PhysRevD.61.106002
|
KUNS-1598
|
hep-th
| null |
In this paper, we generalize a boundary state to the one incorporating
non-constant gauge field strength as an external background coupled to the
boundary of a string worldsheet in bosonic string theory. This newly defined
boundary state satisfies generalized nonlinear boundary conditions with
non-constant gauge field strength, and is BRST invariant. The divergence
immanent in this boundary state coincide with the one calculated in a string
sigma model. We extract the relevant massless part of this generalized boundary
state, and give a part of the D-brane action with the non-constant gauge field
strength, that is, derivative corrections to the D-brane action.
|
[
{
"created": "Mon, 6 Sep 1999 09:01:48 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 1999 03:37:30 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Oct 1999 02:44:42 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Hashimoto",
"Koji",
""
]
] |
In this paper, we generalize a boundary state to the one incorporating non-constant gauge field strength as an external background coupled to the boundary of a string worldsheet in bosonic string theory. This newly defined boundary state satisfies generalized nonlinear boundary conditions with non-constant gauge field strength, and is BRST invariant. The divergence immanent in this boundary state coincide with the one calculated in a string sigma model. We extract the relevant massless part of this generalized boundary state, and give a part of the D-brane action with the non-constant gauge field strength, that is, derivative corrections to the D-brane action.
| 12.49087
| 11.366073
| 12.79997
| 11.06218
| 10.801613
| 11.141729
| 11.233132
| 10.497353
| 11.352453
| 13.171993
| 11.392142
| 11.297875
| 12.474829
| 11.431452
| 11.305039
| 11.417653
| 11.439462
| 11.256048
| 11.764813
| 12.212008
| 11.644273
|
hep-th/0008008
|
Tony Pantev
|
Ron Donagi (UPenn), Burt Ovrut (UPenn), Tony Pantev (UPenn), Dan
Waldram (CERN)
|
Standard-Model Bundles on Non-Simply Connected Calabi--Yau Threefolds
|
Reference to the work of C.Schoen added
|
JHEP 0108:053,2001
|
10.1088/1126-6708/2001/08/053
| null |
hep-th math.AG
| null |
We give a proof of the existence of $G=SU(5)$, stable holomorphic vector
bundles on elliptically fibered Calabi--Yau threefolds with fundamental group
$\bbz_2$. The bundles we construct have Euler characteristic 3 and an anomaly
that can be absorbed by M-theory five-branes. Such bundles provide the basis
for constructing the standard model in heterotic M-theory. They are also
applicable to vacua of the weakly coupled heterotic string. We explicitly
present a class of three family models with gauge group $SU(3)_C\times
SU(2)_L\times U(1)_Y$.
|
[
{
"created": "Tue, 1 Aug 2000 17:06:22 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jul 2002 13:23:45 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Donagi",
"Ron",
"",
"UPenn"
],
[
"Ovrut",
"Burt",
"",
"UPenn"
],
[
"Pantev",
"Tony",
"",
"UPenn"
],
[
"Waldram",
"Dan",
"",
"CERN"
]
] |
We give a proof of the existence of $G=SU(5)$, stable holomorphic vector bundles on elliptically fibered Calabi--Yau threefolds with fundamental group $\bbz_2$. The bundles we construct have Euler characteristic 3 and an anomaly that can be absorbed by M-theory five-branes. Such bundles provide the basis for constructing the standard model in heterotic M-theory. They are also applicable to vacua of the weakly coupled heterotic string. We explicitly present a class of three family models with gauge group $SU(3)_C\times SU(2)_L\times U(1)_Y$.
| 6.938127
| 6.209062
| 7.595588
| 6.27457
| 6.171909
| 5.963078
| 6.16371
| 6.054458
| 6.132316
| 8.830494
| 5.879258
| 6.360582
| 7.122189
| 6.762225
| 6.384727
| 6.435555
| 6.4273
| 6.299123
| 6.774938
| 7.350059
| 6.208117
|
hep-th/0309242
|
Stefano Arnone
|
Stefano Arnone, Antonio Gatti, Tim R. Morris and Oliver J. Rosten
|
Exact scheme independence at two loops
|
16 pages, 20 figures, uses revtex4. One- and two-loop seed action
contributions added, typos corrected, version to appear in PRD
|
Phys.Rev. D69 (2004) 065009
|
10.1103/PhysRevD.69.065009
|
CERN-CH/2003-264; SHEP 03-17
|
hep-th
| null |
We further develop an algorithmic and diagrammatic computational framework
for very general exact renormalization groups, where the embedded
regularisation scheme, parametrised by a general cutoff function and infinitely
many higher point vertices, is left unspecified. Calculations proceed
iteratively,by integrating by parts with respect to the effective cutoff, thus
introducing effective propagators, and differentials of vertices that can be
expanded using the flow equations; many cancellations occur on using the fact
that the effective propagator is the inverse of the classical Wilsonian
two-point vertex. We demonstrate the power of these methods by computing the
beta function up to two loops in massless four dimensional scalar field theory,
obtaining the expected universal coefficients, independent of the details of
the regularisation scheme.
|
[
{
"created": "Fri, 26 Sep 2003 17:43:23 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 2003 10:42:46 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Arnone",
"Stefano",
""
],
[
"Gatti",
"Antonio",
""
],
[
"Morris",
"Tim R.",
""
],
[
"Rosten",
"Oliver J.",
""
]
] |
We further develop an algorithmic and diagrammatic computational framework for very general exact renormalization groups, where the embedded regularisation scheme, parametrised by a general cutoff function and infinitely many higher point vertices, is left unspecified. Calculations proceed iteratively,by integrating by parts with respect to the effective cutoff, thus introducing effective propagators, and differentials of vertices that can be expanded using the flow equations; many cancellations occur on using the fact that the effective propagator is the inverse of the classical Wilsonian two-point vertex. We demonstrate the power of these methods by computing the beta function up to two loops in massless four dimensional scalar field theory, obtaining the expected universal coefficients, independent of the details of the regularisation scheme.
| 16.972328
| 16.312845
| 18.047596
| 16.406788
| 15.527019
| 16.556246
| 16.967453
| 16.59268
| 15.854615
| 20.053177
| 15.8728
| 15.726658
| 16.701576
| 15.766995
| 15.95548
| 15.437664
| 16.23033
| 15.371696
| 15.140805
| 16.677725
| 15.61279
|
hep-th/0404136
|
Pedro Fonseca
|
Benjamin Doyon, Pedro Fonseca
|
Ising Field Theory on a Pseudosphere
|
39 pages, 6 eps figures, uses harvmac
|
J.Stat.Mech.0407:P07002,2004
|
10.1088/1742-5468/2004/07/P07002
|
RUNHETC-2003-37, SPhT-T04/031
|
hep-th
| null |
We show how the symmetries of the Ising field theory on a pseudosphere can be
exploited to derive the form factors of the spin fields as well as the
non-linear differential equations satisfied by the corresponding two-point
correlation functions. The latter are studied in detail and, in particular, we
present a solution to the so-called connection problem relating two of the
singular points of the associated Painleve VI equation. A brief discussion of
the thermodynamic properties is also presented.
|
[
{
"created": "Mon, 19 Apr 2004 23:22:05 GMT",
"version": "v1"
}
] |
2011-02-16
|
[
[
"Doyon",
"Benjamin",
""
],
[
"Fonseca",
"Pedro",
""
]
] |
We show how the symmetries of the Ising field theory on a pseudosphere can be exploited to derive the form factors of the spin fields as well as the non-linear differential equations satisfied by the corresponding two-point correlation functions. The latter are studied in detail and, in particular, we present a solution to the so-called connection problem relating two of the singular points of the associated Painleve VI equation. A brief discussion of the thermodynamic properties is also presented.
| 9.119443
| 8.83452
| 9.359221
| 8.324534
| 8.870494
| 8.35438
| 8.454721
| 8.078926
| 8.098559
| 9.402108
| 7.894798
| 8.066425
| 8.943818
| 8.32957
| 8.083319
| 8.122934
| 8.055813
| 8.048003
| 8.238831
| 8.750189
| 8.059565
|
2010.13453
|
Prasant Samantray
|
Prasant Samantray and Suprit Singh
|
Schwinger Effect in Compact Space
|
Published version
|
Phys. Rev. D 103, 125012 (2021)
|
10.1103/PhysRevD.103.125012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a theory of scalar QED on a spatially compact 1+1-dimensional
spacetime. By considering a constant electric field pointing down the compact
dimension, we compute the quantum effective action by integrating out the
scalar degrees of freedom in the Euclidean sector. Working in the saddle-point
approximation we uncover two novel branches/physical regimes upon analytically
continuing back to real time and discover a new result, hitherto unreported in
previous literature. Implications of our results are discussed.
|
[
{
"created": "Mon, 26 Oct 2020 09:49:31 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 2020 17:17:29 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jun 2021 05:36:53 GMT",
"version": "v3"
}
] |
2021-06-29
|
[
[
"Samantray",
"Prasant",
""
],
[
"Singh",
"Suprit",
""
]
] |
We consider a theory of scalar QED on a spatially compact 1+1-dimensional spacetime. By considering a constant electric field pointing down the compact dimension, we compute the quantum effective action by integrating out the scalar degrees of freedom in the Euclidean sector. Working in the saddle-point approximation we uncover two novel branches/physical regimes upon analytically continuing back to real time and discover a new result, hitherto unreported in previous literature. Implications of our results are discussed.
| 13.145486
| 12.498359
| 13.505734
| 12.365758
| 12.526155
| 13.406672
| 14.036271
| 12.946964
| 12.637563
| 16.012457
| 12.326504
| 11.973231
| 13.211061
| 12.640179
| 12.425151
| 12.545248
| 12.162496
| 12.359429
| 13.045949
| 13.194715
| 12.278214
|
1706.06430
|
Michael R. Douglas
|
Frederik Denef, Michael R. Douglas, Brian Greene and Claire Zukowski
|
Computational complexity of the landscape II - Cosmological
considerations
|
50 pages, 6 figures
| null |
10.1016/j.aop.2018.03.013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new approach for multiverse analysis based on computational
complexity, which leads to a new family of "computational" measure factors. By
defining a cosmology as a space-time containing a vacuum with specified
properties (for example small cosmological constant) together with rules for
how time evolution will produce the vacuum, we can associate global time in a
multiverse with clock time on a supercomputer which simulates it. We argue for
a principle of "limited computational complexity" governing early universe
dynamics as simulated by this supercomputer, which translates to a global
measure for regulating the infinities of eternal inflation. The rules for time
evolution can be thought of as a search algorithm, whose details should be
constrained by a stronger principle of "minimal computational complexity."
Unlike previously studied global measures, ours avoids standard equilibrium
considerations and the well-known problems of Boltzmann Brains and the
youngness paradox. We also give various definitions of the computational
complexity of a cosmology, and argue that there are only a few natural
complexity classes. (v2: version submitted for publication: clarified section
5.3; added references) (v3: added discussion of marginally hospitable vacua.
Version to appear in Annals of Physics)
|
[
{
"created": "Tue, 20 Jun 2017 13:46:28 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Oct 2017 18:27:03 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Mar 2018 01:19:24 GMT",
"version": "v3"
}
] |
2018-04-18
|
[
[
"Denef",
"Frederik",
""
],
[
"Douglas",
"Michael R.",
""
],
[
"Greene",
"Brian",
""
],
[
"Zukowski",
"Claire",
""
]
] |
We propose a new approach for multiverse analysis based on computational complexity, which leads to a new family of "computational" measure factors. By defining a cosmology as a space-time containing a vacuum with specified properties (for example small cosmological constant) together with rules for how time evolution will produce the vacuum, we can associate global time in a multiverse with clock time on a supercomputer which simulates it. We argue for a principle of "limited computational complexity" governing early universe dynamics as simulated by this supercomputer, which translates to a global measure for regulating the infinities of eternal inflation. The rules for time evolution can be thought of as a search algorithm, whose details should be constrained by a stronger principle of "minimal computational complexity." Unlike previously studied global measures, ours avoids standard equilibrium considerations and the well-known problems of Boltzmann Brains and the youngness paradox. We also give various definitions of the computational complexity of a cosmology, and argue that there are only a few natural complexity classes. (v2: version submitted for publication: clarified section 5.3; added references) (v3: added discussion of marginally hospitable vacua. Version to appear in Annals of Physics)
| 15.850266
| 16.273041
| 17.057119
| 15.296364
| 17.681135
| 16.106499
| 15.149525
| 15.87897
| 16.239576
| 17.446295
| 14.639457
| 14.484519
| 15.39654
| 15.039155
| 14.564832
| 15.103313
| 14.789454
| 14.684656
| 15.073962
| 15.727825
| 14.525652
|
hep-th/0304130
|
Sultan Catto
|
Sultan Catto, Jonathan Huntley, Nam-Jong Moh and David Tepper
|
Spectral theory of automorphic forms and analysis of invariant operators
on $SL_3({\cal{Z}}$ with applications
|
6 pages, revtex
| null | null | null |
hep-th
| null |
We study a variety of problems in the spectral theory of automorphic forms
using entirely analytic techniques such as Selberg trace formula, asymptotics
of Whittaker functions and behavior of heat kernels. Error terms for Weyl's law
and an analog of Selberg's eigenvalue conjecture for $SL_3({\bf Z})$ is given.
We prove the following: Let $\cal H$ be the homogeneous space associated to the
group $PGL_3(\bf R)$. Let $X = \Gamma{\backslash SL_3({\bf Z}})$ and consider
the first non-trivial eigenvalue $\lambda_1$ of the Laplacian on $L^2(X)$.
Using geometric considerations, we prove the inequality $\lambda_1 > 3pi^2/10>
2.96088.$ Since the continuous spectrum is represented by the band
$[1,\infty)$, our bound on $\lambda_{1}$ can be viewed as an analogue of
Selberg's eigenvalue conjecture for quotients of the hyperbolic half space.
Brief comment on relevance of automorphic forms to applications in high energy
physics is given.
|
[
{
"created": "Tue, 15 Apr 2003 00:59:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Catto",
"Sultan",
""
],
[
"Huntley",
"Jonathan",
""
],
[
"Moh",
"Nam-Jong",
""
],
[
"Tepper",
"David",
""
]
] |
We study a variety of problems in the spectral theory of automorphic forms using entirely analytic techniques such as Selberg trace formula, asymptotics of Whittaker functions and behavior of heat kernels. Error terms for Weyl's law and an analog of Selberg's eigenvalue conjecture for $SL_3({\bf Z})$ is given. We prove the following: Let $\cal H$ be the homogeneous space associated to the group $PGL_3(\bf R)$. Let $X = \Gamma{\backslash SL_3({\bf Z}})$ and consider the first non-trivial eigenvalue $\lambda_1$ of the Laplacian on $L^2(X)$. Using geometric considerations, we prove the inequality $\lambda_1 > 3pi^2/10> 2.96088.$ Since the continuous spectrum is represented by the band $[1,\infty)$, our bound on $\lambda_{1}$ can be viewed as an analogue of Selberg's eigenvalue conjecture for quotients of the hyperbolic half space. Brief comment on relevance of automorphic forms to applications in high energy physics is given.
| 8.470372
| 10.84727
| 9.426711
| 8.604976
| 10.002144
| 10.216421
| 11.025341
| 10.77755
| 9.281581
| 10.300694
| 9.412695
| 8.783479
| 8.686172
| 8.675127
| 8.716172
| 8.839371
| 8.426862
| 8.479222
| 8.724783
| 9.000013
| 8.432833
|
1311.4671
|
Masafumi Shimojo
|
Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa, Hikaru Sato and
Masafumi Shimojo
|
Supersymmetric Yang-Mills Theory on the Noncommutative Geometry
|
arXiv admin note: text overlap with arXiv:1201.3448
| null |
10.1093/ptep/ptu103
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, we found the supersymmetric counterpart of the spectral triple.
When we restrict the representation space to the fermionic functions of matter
fields, the counterpart which we name "the triple" reduces to the original
spectral triple which defines noncommutative geometry. We see that the
fluctuation to the supersymmetric Dirac operator induced by algebra in the
triple generates vector supermultiplet which mediates gauge interaction.
Following the supersymmetric version of spectral action principle, we calculate
the heat kernel expansion of the square of fluctuated Dirac operator and obtain
the correct supersymmetric Yang-Mills action with U(N) gauge symmetry.
|
[
{
"created": "Tue, 19 Nov 2013 09:43:22 GMT",
"version": "v1"
}
] |
2014-07-23
|
[
[
"Ishihara",
"Satoshi",
""
],
[
"Kataoka",
"Hironobu",
""
],
[
"Matsukawa",
"Atsuko",
""
],
[
"Sato",
"Hikaru",
""
],
[
"Shimojo",
"Masafumi",
""
]
] |
Recently, we found the supersymmetric counterpart of the spectral triple. When we restrict the representation space to the fermionic functions of matter fields, the counterpart which we name "the triple" reduces to the original spectral triple which defines noncommutative geometry. We see that the fluctuation to the supersymmetric Dirac operator induced by algebra in the triple generates vector supermultiplet which mediates gauge interaction. Following the supersymmetric version of spectral action principle, we calculate the heat kernel expansion of the square of fluctuated Dirac operator and obtain the correct supersymmetric Yang-Mills action with U(N) gauge symmetry.
| 13.010185
| 12.21669
| 13.738702
| 11.704187
| 12.834939
| 12.560239
| 11.925458
| 12.049251
| 11.807096
| 13.643095
| 11.519254
| 11.876931
| 12.485341
| 11.886923
| 11.95118
| 12.057717
| 12.092099
| 11.908807
| 11.66256
| 13.112101
| 12.032293
|
2406.07606
|
Junsei Tokuda
|
Simon Caron-Huot, Junsei Tokuda
|
String loops and gravitational positivity bounds: imprint of light
particles at high energies
|
27 pages + 4 appendices, 14 figures
| null | null |
CTPU-PTC-24-17
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study loop corrections to positivity bounds on effective field theories in
the context of $2\to 2$ scattering in gravitational theories, in the presence
of light particles. It has been observed that certain negative contributions at
low energies are enhanced by inverse powers of a small mass $m$ and are
nontrivial to cancel against other low-energy contributions. These originate
from near the forward limit of diagrams involving graviton exchange. We observe
that scattering in this kinematics domain remains infrared-sensitive even at
high center-of-mass energy. By considering a string-inspired model in which
high-energy loops can be calculated using unitarity and Regge behavior of tree
amplitudes, we uncover a natural mechanism through which $1/m$-enhanced terms
perfectly cancel between low and high energy contributions. This concretely
explains possible positivity violations in the presence of gravity from the
high-energy viewpoint.
|
[
{
"created": "Tue, 11 Jun 2024 18:00:00 GMT",
"version": "v1"
}
] |
2024-06-13
|
[
[
"Caron-Huot",
"Simon",
""
],
[
"Tokuda",
"Junsei",
""
]
] |
We study loop corrections to positivity bounds on effective field theories in the context of $2\to 2$ scattering in gravitational theories, in the presence of light particles. It has been observed that certain negative contributions at low energies are enhanced by inverse powers of a small mass $m$ and are nontrivial to cancel against other low-energy contributions. These originate from near the forward limit of diagrams involving graviton exchange. We observe that scattering in this kinematics domain remains infrared-sensitive even at high center-of-mass energy. By considering a string-inspired model in which high-energy loops can be calculated using unitarity and Regge behavior of tree amplitudes, we uncover a natural mechanism through which $1/m$-enhanced terms perfectly cancel between low and high energy contributions. This concretely explains possible positivity violations in the presence of gravity from the high-energy viewpoint.
| 14.733447
| 14.470764
| 15.114671
| 12.545325
| 13.14212
| 15.044302
| 13.697692
| 13.223896
| 12.961651
| 15.282829
| 13.713092
| 12.917027
| 14.642531
| 13.720794
| 13.411529
| 13.736197
| 13.404422
| 13.254799
| 13.532912
| 14.478985
| 13.406387
|
2209.14661
|
Dimitrios Zoakos
|
George Georgiou and Dimitrios Zoakos
|
Holographic correlation functions at finite density and/or finite
temperature
|
1+31 pages
| null |
10.1007/JHEP11(2022)087
| null |
hep-th
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
We calculate holographically one and two-point functions of scalar operators
at finite density and/or finite temperature. In the case of finite density and
zero temperature we argue that only scalar operators can have non-zero VEVs. In
the case in which both the chemical potential and the temperature are finite,
we present a systematic expansion of the two-point correlators in powers of the
temperature T and the chemical potential $\Omega$.
The holographic result is in agreement with the general form of the OPE which
dictates that the two-point function may be written as a linear combination of
the Gegenbauer polynomials $C_J^{(1)}(\xi)$ but with the coefficients depending
now on both the temperature and the chemical potential, as well as on the CFT
data. The leading terms in this expansion originate from the expectation values
of the scalar operator $\phi^2$, the R-current ${\cal J}^\mu_{\phi_3}$ and the
energy-momentum tensor $T^{\mu\nu}$.
By employing the Ward identity for the R-current and by comparing the
appropriate term of the holographic result for the two-point correlator to the
corresponding term in the OPE, we derive the value of the R-charge density of
the background. Compelling agreement with the analysis of the thermodynamics of
the black hole is found. Finally, we determine the behaviour of the two-point
correlators, in the case of finite temperature, and in the limit of large
temporal or spatial distance of the operators.
|
[
{
"created": "Thu, 29 Sep 2022 09:49:45 GMT",
"version": "v1"
}
] |
2022-11-30
|
[
[
"Georgiou",
"George",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] |
We calculate holographically one and two-point functions of scalar operators at finite density and/or finite temperature. In the case of finite density and zero temperature we argue that only scalar operators can have non-zero VEVs. In the case in which both the chemical potential and the temperature are finite, we present a systematic expansion of the two-point correlators in powers of the temperature T and the chemical potential $\Omega$. The holographic result is in agreement with the general form of the OPE which dictates that the two-point function may be written as a linear combination of the Gegenbauer polynomials $C_J^{(1)}(\xi)$ but with the coefficients depending now on both the temperature and the chemical potential, as well as on the CFT data. The leading terms in this expansion originate from the expectation values of the scalar operator $\phi^2$, the R-current ${\cal J}^\mu_{\phi_3}$ and the energy-momentum tensor $T^{\mu\nu}$. By employing the Ward identity for the R-current and by comparing the appropriate term of the holographic result for the two-point correlator to the corresponding term in the OPE, we derive the value of the R-charge density of the background. Compelling agreement with the analysis of the thermodynamics of the black hole is found. Finally, we determine the behaviour of the two-point correlators, in the case of finite temperature, and in the limit of large temporal or spatial distance of the operators.
| 6.318729
| 6.357326
| 6.744501
| 6.048302
| 6.385361
| 6.524581
| 6.200348
| 6.16067
| 6.369368
| 7.147252
| 6.362793
| 6.033575
| 6.476912
| 5.975189
| 6.094724
| 6.007023
| 6.197184
| 6.133436
| 6.099571
| 6.218704
| 5.979731
|
2108.09311
|
Thorsten Schimannek
|
Thorsten Schimannek
|
Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants
with discrete charges
|
69+28 pages
| null |
10.1007/JHEP02(2022)007
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the stringy K\"ahler moduli space of a generic genus one curve
of degree $N$, for $N\le 5$, is the $\Gamma_1(N)$ modular curve $X_1(N)$. This
implies a correspondence between the cusps of the modular curves and certain
large volume limits in the stringy K\"ahler moduli spaces of genus one fibered
Calabi-Yau manifolds with $N$-sections. Using Higgs transitions in M-theory and
F-theory as well as modular properties of the topological string partition
function, we identify these large volume limits with elements of the
Tate-Shafarevich group of the genus one fibration. Singular elements appear in
the form of non-commutative resolutions with a torsional B-field at the
singularity. The topological string amplitudes that arise at the various large
volume limits are related by modular transformations. In particular, we find
that the topological string partition function of a smooth genus one fibered
Calabi-Yau threefold is transformed into that of a non-commutative resolution
of the Jacobian by a Fricke involution. In the case of Calabi-Yau threefolds,
we propose an expansion of the partition functions of a singular fibration and
its non-commutative resolutions in terms of Gopakumar-Vafa invariants that are
associated to BPS states with discrete charges. For genus one fibrations with
5-sections, this provides an enumerative interpretation for the partition
functions that arise at certain irrational points of maximally unipotent
monodromy.
|
[
{
"created": "Fri, 20 Aug 2021 18:00:01 GMT",
"version": "v1"
}
] |
2022-02-16
|
[
[
"Schimannek",
"Thorsten",
""
]
] |
We show that the stringy K\"ahler moduli space of a generic genus one curve of degree $N$, for $N\le 5$, is the $\Gamma_1(N)$ modular curve $X_1(N)$. This implies a correspondence between the cusps of the modular curves and certain large volume limits in the stringy K\"ahler moduli spaces of genus one fibered Calabi-Yau manifolds with $N$-sections. Using Higgs transitions in M-theory and F-theory as well as modular properties of the topological string partition function, we identify these large volume limits with elements of the Tate-Shafarevich group of the genus one fibration. Singular elements appear in the form of non-commutative resolutions with a torsional B-field at the singularity. The topological string amplitudes that arise at the various large volume limits are related by modular transformations. In particular, we find that the topological string partition function of a smooth genus one fibered Calabi-Yau threefold is transformed into that of a non-commutative resolution of the Jacobian by a Fricke involution. In the case of Calabi-Yau threefolds, we propose an expansion of the partition functions of a singular fibration and its non-commutative resolutions in terms of Gopakumar-Vafa invariants that are associated to BPS states with discrete charges. For genus one fibrations with 5-sections, this provides an enumerative interpretation for the partition functions that arise at certain irrational points of maximally unipotent monodromy.
| 6.110121
| 6.181435
| 6.963882
| 5.833056
| 5.885757
| 5.916404
| 5.953364
| 5.717999
| 5.79118
| 7.427138
| 5.729099
| 5.886426
| 6.313194
| 5.737062
| 5.730392
| 5.731389
| 5.693415
| 5.684043
| 5.845411
| 6.384075
| 5.712713
|
2103.01772
|
S Mahesh Chandran
|
Parul Jain, S. Mahesh Chandran, S. Shankaranarayanan (IIT Bombay)
|
Log to log-log crossover of entanglement in $(1+1)-$ dimensional massive
scalar field
|
Version 2: 30 pages, 6 figures, 2 tables. One new section on ground
state fidelity added. Conclusions unchanged. Version accepted in Phy. Rev. D
|
Phys. Rev. D 103, 125008 (2021)
|
10.1103/PhysRevD.103.125008
| null |
hep-th cond-mat.stat-mech gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study three different measures of quantum correlations -- entanglement
spectrum, entanglement entropy, and logarithmic negativity -- for
(1+1)-dimensional massive scalar field in flat spacetime. The entanglement
spectrum for the discretized scalar field in the ground state indicates a
cross-over in the zero-mode regime, which is further substantiated by an
analytical treatment of both entanglement entropy and logarithmic negativity.
The exact nature of this cross-over depends on the boundary conditions used --
the leading order term switches from a $\log$ to $\log-\log$ behavior for the
Periodic and Neumann boundary conditions. In contrast, for Dirichlet, it is the
parameters within the leading $\log-\log$ term that are switched. We show that
this cross-over manifests as a change in the behavior of the leading order
divergent term for entanglement entropy and logarithmic negativity close to the
zero-mode limit. We thus show that the two regimes have fundamentally different
information content. Furthermore, an analysis of the ground state fidelity
shows us that the region between critical point $\Lambda=0$ and the crossover
point is dominated by zero-mode effects, featuring an explicit dependence on
the IR cutoff of the system. For the reduced state of a single oscillator, we
show that this cross-over occurs in the region $Nam_f\sim \mathscr{O}(1)$.
|
[
{
"created": "Tue, 2 Mar 2021 14:44:39 GMT",
"version": "v1"
},
{
"created": "Wed, 19 May 2021 14:58:09 GMT",
"version": "v2"
}
] |
2021-06-16
|
[
[
"Jain",
"Parul",
"",
"IIT Bombay"
],
[
"Chandran",
"S. Mahesh",
"",
"IIT Bombay"
],
[
"Shankaranarayanan",
"S.",
"",
"IIT Bombay"
]
] |
We study three different measures of quantum correlations -- entanglement spectrum, entanglement entropy, and logarithmic negativity -- for (1+1)-dimensional massive scalar field in flat spacetime. The entanglement spectrum for the discretized scalar field in the ground state indicates a cross-over in the zero-mode regime, which is further substantiated by an analytical treatment of both entanglement entropy and logarithmic negativity. The exact nature of this cross-over depends on the boundary conditions used -- the leading order term switches from a $\log$ to $\log-\log$ behavior for the Periodic and Neumann boundary conditions. In contrast, for Dirichlet, it is the parameters within the leading $\log-\log$ term that are switched. We show that this cross-over manifests as a change in the behavior of the leading order divergent term for entanglement entropy and logarithmic negativity close to the zero-mode limit. We thus show that the two regimes have fundamentally different information content. Furthermore, an analysis of the ground state fidelity shows us that the region between critical point $\Lambda=0$ and the crossover point is dominated by zero-mode effects, featuring an explicit dependence on the IR cutoff of the system. For the reduced state of a single oscillator, we show that this cross-over occurs in the region $Nam_f\sim \mathscr{O}(1)$.
| 9.713288
| 10.06275
| 10.234362
| 9.531167
| 10.44932
| 10.364007
| 10.258417
| 9.990489
| 9.693323
| 10.184824
| 9.632095
| 9.722552
| 9.42745
| 9.393988
| 9.822393
| 9.580946
| 9.775515
| 9.326652
| 9.700329
| 9.410367
| 9.362331
|
hep-th/9806058
|
Stefano De Leo
|
Stefano De Leo (Dip. di Fisica, INFN, Lecce, Italia), Waldyr A.
Rodrigues, Jr. (UNICAMP/IMECC, Campinas, Brasil)
|
Quaternionic Electron Theory: Geometry, Algebra and Dirac's Spinors
|
10 pags, Revtex, Int. J. Theor. Phys. (published, May 98)
|
Int.J.Theor.Phys. 37 (1998) 1707-1720
| null | null |
hep-th
| null |
The use of complexified quaternions and $i$-complex geometry in formulating
the Dirac equation allows us to give interesting geometric interpretations
hidden in the conventional matrix-based approach.
|
[
{
"created": "Sat, 6 Jun 1998 23:07:41 GMT",
"version": "v1"
}
] |
2012-08-27
|
[
[
"De Leo",
"Stefano",
"",
"Dip. di Fisica, INFN, Lecce, Italia"
],
[
"Rodrigues,",
"Waldyr A.",
"Jr.",
"UNICAMP/IMECC, Campinas, Brasil"
]
] |
The use of complexified quaternions and $i$-complex geometry in formulating the Dirac equation allows us to give interesting geometric interpretations hidden in the conventional matrix-based approach.
| 30.551245
| 23.946827
| 25.849726
| 23.402443
| 22.798973
| 23.487701
| 23.746716
| 25.139883
| 22.456522
| 27.352465
| 26.153805
| 28.298706
| 24.725071
| 25.615252
| 25.540054
| 26.477036
| 24.471031
| 25.557695
| 24.322283
| 25.697573
| 26.179832
|
2004.13088
|
David Wakeham
|
James Sully, Mark Van Raamsdonk, David Wakeham
|
BCFT entanglement entropy at large central charge and the black hole
interior
|
36+9 pages, 11 figures
| null |
10.1007/JHEP03(2021)167
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we consider entanglement and Renyi entropies for spatial
subsystems of a boundary conformal field theory (BCFT) or of a CFT in a state
constructed using a Euclidean BCFT path integral. Holographic calculations
suggest that these entropies undergo phase transitions as a function of time or
parameters describing the subsystem; these arise from a change in topology of
the RT surface. In recent applications to black hole physics, such transitions
have been seen to govern whether or not the bulk entanglement wedge of a (B)CFT
region includes a portion of the black hole interior and have played a crucial
role in understanding the semiclassical origin of the Page curve for
evaporating black holes.
In this paper, we reproduce these holographic results via direct (B)CFT
calculations. Using the replica method, the entropies are related to
correlation functions of twist operators in a Euclidean BCFT. These
correlations functions can be expanded in various channels involving
intermediate bulk or boundary operators. Under certain sparseness conditions on
the spectrum and OPE coefficients of bulk and boundary operators, we show that
the twist correlators are dominated by the vacuum block in a single channel,
with the relevant channel depending on the position of the twists. These
transitions between channels lead to the holographically observed phase
transitions in entropies.
|
[
{
"created": "Mon, 27 Apr 2020 18:43:13 GMT",
"version": "v1"
}
] |
2021-03-31
|
[
[
"Sully",
"James",
""
],
[
"Van Raamsdonk",
"Mark",
""
],
[
"Wakeham",
"David",
""
]
] |
In this note, we consider entanglement and Renyi entropies for spatial subsystems of a boundary conformal field theory (BCFT) or of a CFT in a state constructed using a Euclidean BCFT path integral. Holographic calculations suggest that these entropies undergo phase transitions as a function of time or parameters describing the subsystem; these arise from a change in topology of the RT surface. In recent applications to black hole physics, such transitions have been seen to govern whether or not the bulk entanglement wedge of a (B)CFT region includes a portion of the black hole interior and have played a crucial role in understanding the semiclassical origin of the Page curve for evaporating black holes. In this paper, we reproduce these holographic results via direct (B)CFT calculations. Using the replica method, the entropies are related to correlation functions of twist operators in a Euclidean BCFT. These correlations functions can be expanded in various channels involving intermediate bulk or boundary operators. Under certain sparseness conditions on the spectrum and OPE coefficients of bulk and boundary operators, we show that the twist correlators are dominated by the vacuum block in a single channel, with the relevant channel depending on the position of the twists. These transitions between channels lead to the holographically observed phase transitions in entropies.
| 7.560563
| 7.196653
| 9.642012
| 7.390605
| 8.292968
| 7.610476
| 7.485485
| 7.171355
| 7.155841
| 10.55553
| 7.568426
| 7.340557
| 8.111689
| 7.338067
| 7.514388
| 7.486848
| 7.344837
| 7.403202
| 7.273862
| 7.940956
| 7.253263
|
hep-th/0205045
|
S. D. Joglekar
|
Satish D. Joglekar (I.I.T.Kanpur India)
|
Some Observations on Non-covariant Gauges and the epsilon-term
|
12 pages, LaTeX2e
|
Mod.Phys.Lett. A17 (2002) 2581-2596
|
10.1142/S0217732302009192
|
IITK/PHY/2002/35
|
hep-th
| null |
We consider the Lagrangian path-integrals in Minkowski space for gauges with
a residual gauge-invariance. From rather elementary considerations, we
demonstrate the necessity of inclusion of an epsilon-term (even) in the formal
treatments, without which one may reach incorrect conclusions. We show,
further, that the epsilon-term can contribute to the BRST WT-identities in a
nontrivial way (even as epsilon-->0). We also show that the (expectation value
of the) correct epsilon-term satisfies an algebraic condition. We show by
considering (a commonly used) example of a simple local quadratic epsilon
-term, that they lead to additional constraints on Green's function that are
not normally taken into account in the BRST formalism that ignores the
epsilon-term, and that they are characteristic of the way the singularities in
propagators are handled. We argue that for a subclass of these gauges, the
Minkowski path-integral could not be obtained by a Wick rotation from a
Euclidean path-integral.
|
[
{
"created": "Mon, 6 May 2002 17:15:24 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Joglekar",
"Satish D.",
"",
"I.I.T.Kanpur India"
]
] |
We consider the Lagrangian path-integrals in Minkowski space for gauges with a residual gauge-invariance. From rather elementary considerations, we demonstrate the necessity of inclusion of an epsilon-term (even) in the formal treatments, without which one may reach incorrect conclusions. We show, further, that the epsilon-term can contribute to the BRST WT-identities in a nontrivial way (even as epsilon-->0). We also show that the (expectation value of the) correct epsilon-term satisfies an algebraic condition. We show by considering (a commonly used) example of a simple local quadratic epsilon -term, that they lead to additional constraints on Green's function that are not normally taken into account in the BRST formalism that ignores the epsilon-term, and that they are characteristic of the way the singularities in propagators are handled. We argue that for a subclass of these gauges, the Minkowski path-integral could not be obtained by a Wick rotation from a Euclidean path-integral.
| 14.073171
| 14.395298
| 15.136459
| 13.177949
| 13.585014
| 14.892332
| 14.376646
| 14.326265
| 13.984253
| 16.130255
| 13.415817
| 13.952943
| 13.617435
| 13.82113
| 13.814228
| 13.744558
| 13.538179
| 13.43646
| 13.875443
| 14.280831
| 13.36683
|
1812.08087
|
Kallosh Renata
|
Renata Kallosh
|
The Action with Manifest E7 Type Symmetry
|
34 p, 1 fig, 4 tables. Extended version
| null |
10.1007/JHEP05(2019)109
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize Cremmer-Julia 1st order action of $N=8$ supergravity with
manifest $E_{7(7)}$ symmetry to cases of $N=6$ with manifest $SO^*(12)$ and
$N=5$ with manifest $SU(1,5)$ duality symmetries. These U dualities belong to
groups of type E7 which do not admit a symmetric bilinear invariant for vector
fields. Therefore the 2d order classical action derived from the one with
manifest E7 type duality has a ghost vector field which, under appropriate
boundary conditions, decouples. We show that when classical $N\geq 5$
supergravities are deformed by a candidate UV divergence the ghost field does
not decouple. Therefore we argue that U duality and supersymmetry suggest an
explanation of the mysterious cancellation of UV infinities at $L=4$, $N=5$ in
d=4. The same reasoning implies that, in absence of duality and supersymmetry
anomalies, which still require a better understanding, $N\geq 5$ perturbative
supergravities may be UV finite at higher-loops.
|
[
{
"created": "Wed, 19 Dec 2018 17:01:30 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2019 03:30:20 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Apr 2019 04:39:14 GMT",
"version": "v3"
}
] |
2019-06-26
|
[
[
"Kallosh",
"Renata",
""
]
] |
We generalize Cremmer-Julia 1st order action of $N=8$ supergravity with manifest $E_{7(7)}$ symmetry to cases of $N=6$ with manifest $SO^*(12)$ and $N=5$ with manifest $SU(1,5)$ duality symmetries. These U dualities belong to groups of type E7 which do not admit a symmetric bilinear invariant for vector fields. Therefore the 2d order classical action derived from the one with manifest E7 type duality has a ghost vector field which, under appropriate boundary conditions, decouples. We show that when classical $N\geq 5$ supergravities are deformed by a candidate UV divergence the ghost field does not decouple. Therefore we argue that U duality and supersymmetry suggest an explanation of the mysterious cancellation of UV infinities at $L=4$, $N=5$ in d=4. The same reasoning implies that, in absence of duality and supersymmetry anomalies, which still require a better understanding, $N\geq 5$ perturbative supergravities may be UV finite at higher-loops.
| 9.97427
| 9.59762
| 10.546077
| 9.170939
| 9.750527
| 9.784496
| 9.558297
| 9.601145
| 9.227323
| 11.779616
| 9.53365
| 9.550818
| 9.758265
| 9.338063
| 9.367026
| 9.537169
| 9.480803
| 9.434535
| 9.060455
| 9.947401
| 9.421898
|
1907.10681
|
Raul Rojas PhD
|
Ra\'ul Rojas Mej\'ias
|
Thermodynamics of Asymptotically Flat Dyonic Black Holes
|
20 pages; modifitations required by referees, 8 references added
|
Phys. Rev. D 101, 124030 (2020)
|
10.1103/PhysRevD.101.124030
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the thermodynamics of dyonic hairy black holes in flat
spacetime when the asymptotic value of the scalar field is not fixed. We use
the quasilocal formalism of Brown and York and corresponding boundary terms
that make the variational principle well defined to prove that the scalar
charges do not contribute to the first law of thermodynamics. We also provide a
unified picture of obtaining exact solutions by comparing two different methods
and discuss in detail the ansatz used in each coordinate system and the
relation between them.
|
[
{
"created": "Wed, 24 Jul 2019 19:26:55 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jun 2020 19:45:24 GMT",
"version": "v2"
}
] |
2020-07-01
|
[
[
"Mejías",
"Raúl Rojas",
""
]
] |
We investigate the thermodynamics of dyonic hairy black holes in flat spacetime when the asymptotic value of the scalar field is not fixed. We use the quasilocal formalism of Brown and York and corresponding boundary terms that make the variational principle well defined to prove that the scalar charges do not contribute to the first law of thermodynamics. We also provide a unified picture of obtaining exact solutions by comparing two different methods and discuss in detail the ansatz used in each coordinate system and the relation between them.
| 9.618899
| 9.050958
| 9.323995
| 9.455031
| 9.280875
| 9.174092
| 9.578817
| 8.984033
| 8.820657
| 9.934456
| 8.910411
| 9.025444
| 9.081132
| 9.144136
| 8.962051
| 8.75626
| 9.080293
| 9.074747
| 9.045351
| 9.711321
| 8.906201
|
hep-th/0003125
|
B. D. Muratori
|
C. Adam, B. Muratori, C. Nash
|
On non-$L^2$ solutions to the Seiberg-Witten equations
|
8 pages, Tex
|
J.Math.Phys. 41 (2000) 5875
|
10.1063/1.1287430
| null |
hep-th
| null |
We show that a previous paper of Freund describing a solution to the
Seiberg-Witten equations has a sign error rendering it a solution to a related
but different set of equations. The non-$L^2$ nature of Freund's solution is
discussed and clarified and we also construct a whole class of solutions to the
Seiberg-Witten equations.
|
[
{
"created": "Wed, 15 Mar 2000 13:48:35 GMT",
"version": "v1"
}
] |
2015-06-25
|
[
[
"Adam",
"C.",
""
],
[
"Muratori",
"B.",
""
],
[
"Nash",
"C.",
""
]
] |
We show that a previous paper of Freund describing a solution to the Seiberg-Witten equations has a sign error rendering it a solution to a related but different set of equations. The non-$L^2$ nature of Freund's solution is discussed and clarified and we also construct a whole class of solutions to the Seiberg-Witten equations.
| 11.119684
| 9.169544
| 10.548059
| 9.372138
| 9.49268
| 9.416465
| 9.337382
| 9.91197
| 9.184208
| 10.458302
| 9.652039
| 9.680046
| 10.770601
| 10.105898
| 10.58944
| 10.501144
| 9.980069
| 9.929479
| 10.516935
| 10.171959
| 10.141726
|
1912.05996
|
Martin Sasieta
|
Jos\'e L.F. Barb\'on, Javier Mart\'in-Garc\'ia and Martin Sasieta
|
Momentum/Complexity Duality and the Black Hole Interior
|
27 pages, 6 figures
| null |
10.1007/JHEP07(2020)169
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish a version of the Momentum/Complexity (PC) duality between the
rate of operator complexity growth and a radial component of bulk momentum for
a test system falling into a black hole. In systems of finite entropy, our map
remains valid for arbitrarily late times after scrambling. The asymptotic
regime of linear complexity growth is associated to a frozen momentum in the
interior of the black hole, measured with respect to a time foliation by
extremal codimension-one surfaces which saturate without reaching the
singularity. The detailed analysis in this paper uses the Volume-Complexity
(VC) prescription and an infalling system consisting of a thin shell of dust,
but the final PC duality formula should have a much wider degree of generality.
|
[
{
"created": "Thu, 12 Dec 2019 14:42:28 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 2020 10:31:29 GMT",
"version": "v2"
}
] |
2020-08-26
|
[
[
"Barbón",
"José L. F.",
""
],
[
"Martín-García",
"Javier",
""
],
[
"Sasieta",
"Martin",
""
]
] |
We establish a version of the Momentum/Complexity (PC) duality between the rate of operator complexity growth and a radial component of bulk momentum for a test system falling into a black hole. In systems of finite entropy, our map remains valid for arbitrarily late times after scrambling. The asymptotic regime of linear complexity growth is associated to a frozen momentum in the interior of the black hole, measured with respect to a time foliation by extremal codimension-one surfaces which saturate without reaching the singularity. The detailed analysis in this paper uses the Volume-Complexity (VC) prescription and an infalling system consisting of a thin shell of dust, but the final PC duality formula should have a much wider degree of generality.
| 18.521994
| 16.724695
| 20.1943
| 15.73172
| 19.169071
| 16.686237
| 17.011106
| 15.108859
| 14.781073
| 18.778551
| 15.453944
| 16.668741
| 16.560892
| 16.347708
| 16.868122
| 16.499565
| 17.161194
| 16.495899
| 16.629959
| 17.388275
| 16.522955
|
hep-th/0201001
|
Vladimir I. Inozemtsev
|
V.I.Inozemtsev
|
Integrable Heisenberg-van Vleck chains with variable range exchange
|
47 pages LaTex, review paper, to appear in Physics of Particles and
Nuclei
|
Phys.Part.Nucl. 34 (2003) 166-193; Fiz.Elem.Chast.Atom.Yadra 34
(2003) 332-387
| null | null |
hep-th
| null |
The review of recent results in the s=1/2 quantum spin chains with
$1/\sinh^2(\kappa r$ exchange is presented. Related problems in the theory of
classical and quantum Calogero-Sutherland-Moser systems with inverse square
hyperbolic and elliptic potentials are discussed. The attention is paid to
finding the explicit form of corresponding Bethe-Ansatz equations and to
connection with generalized Hubbard chains in one dimension.
|
[
{
"created": "Tue, 1 Jan 2002 01:13:43 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Inozemtsev",
"V. I.",
""
]
] |
The review of recent results in the s=1/2 quantum spin chains with $1/\sinh^2(\kappa r$ exchange is presented. Related problems in the theory of classical and quantum Calogero-Sutherland-Moser systems with inverse square hyperbolic and elliptic potentials are discussed. The attention is paid to finding the explicit form of corresponding Bethe-Ansatz equations and to connection with generalized Hubbard chains in one dimension.
| 14.024827
| 14.951941
| 17.595749
| 13.09174
| 16.280502
| 13.491731
| 15.46289
| 15.204772
| 14.755903
| 18.273148
| 12.18974
| 12.537366
| 13.660133
| 12.046289
| 11.686425
| 12.713186
| 12.082964
| 12.332685
| 12.215575
| 14.370984
| 11.994752
|
1409.0842
|
Adolfo Malbouisson
|
L.M. Abreu, F.C. Khanna, A.P.C. Malbouisson, J.M.C. Malbouisson, A.E.
Santana
|
Finite-size effects on the phase transition in a four- and six-fermion
interaction model
| null |
Physics Letters. A (Print), v. 378, p. 2597-2602, 2014
|
10.1016/j.physleta.2014.07.020
| null |
hep-th cond-mat.stat-mech hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider four- and six-fermion interacting models at finite temperature
and density. We construct the corresponding free energies and investigate the
appearance of first- and second-order phase transitions. Finite-size effects on
the phase structure are investigated using methods of quantum field theory on
toroidal topologies
|
[
{
"created": "Tue, 2 Sep 2014 19:47:14 GMT",
"version": "v1"
}
] |
2014-09-03
|
[
[
"Abreu",
"L. M.",
""
],
[
"Khanna",
"F. C.",
""
],
[
"Malbouisson",
"A. P. C.",
""
],
[
"Malbouisson",
"J. M. C.",
""
],
[
"Santana",
"A. E.",
""
]
] |
We consider four- and six-fermion interacting models at finite temperature and density. We construct the corresponding free energies and investigate the appearance of first- and second-order phase transitions. Finite-size effects on the phase structure are investigated using methods of quantum field theory on toroidal topologies
| 9.033588
| 8.815237
| 9.019309
| 8.535226
| 7.865654
| 8.520869
| 8.603305
| 7.828172
| 8.698524
| 8.246385
| 7.973471
| 8.411243
| 8.694139
| 8.653231
| 8.541479
| 8.433199
| 8.937355
| 8.487465
| 8.604556
| 9.122239
| 8.685018
|
hep-th/9810102
|
Enrique Alvarez Vazquez
|
E. Alvarez and C. Gomez (IFT, Madrid)
|
The Holographic Principle and the Renormalization Group
|
LaTex,6 pages. Contribution to L. Bel's Festscrift
| null | null |
IFT-UAM/CSIC-98-30
|
hep-th
| null |
We prove a c-theorem for holographic theories.
|
[
{
"created": "Wed, 14 Oct 1998 14:31:01 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Alvarez",
"E.",
"",
"IFT, Madrid"
],
[
"Gomez",
"C.",
"",
"IFT, Madrid"
]
] |
We prove a c-theorem for holographic theories.
| 50.181194
| 11.742414
| 22.337311
| 14.668657
| 14.07255
| 11.30113
| 11.86737
| 13.574836
| 13.409386
| 22.609426
| 20.83317
| 21.437622
| 38.785332
| 21.96265
| 20.357327
| 21.931694
| 20.269554
| 20.506609
| 21.668308
| 43.321251
| 21.939842
|
1512.04299
|
Marco Schreck MS
|
M. Schreck
|
Classical Lagrangians and Finsler structures for the nonminimal fermion
sector of the Standard-Model Extension
|
35 pages
|
Phys. Rev. D 93, 105017 (2016)
|
10.1103/PhysRevD.93.105017
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This article is devoted to finding classical point-particle equivalents for
the fermion sector of the nonminimal Standard-Model Extension (SME). For a
series of nonminimal operators, such Lagrangians are derived at first order in
Lorentz violation using the algebraic concept of Gr\"obner bases. Subsequently,
the Lagrangians serve as a basis for reanalyzing the results of certain
kinematic tests of Special Relativity that were carried out in the last
century. Thereby, a number of new constraints on coefficients of the nonminimal
SME is obtained. In the last part of the paper we point out connections to
Finsler geometry.
|
[
{
"created": "Mon, 14 Dec 2015 13:20:52 GMT",
"version": "v1"
}
] |
2016-05-18
|
[
[
"Schreck",
"M.",
""
]
] |
This article is devoted to finding classical point-particle equivalents for the fermion sector of the nonminimal Standard-Model Extension (SME). For a series of nonminimal operators, such Lagrangians are derived at first order in Lorentz violation using the algebraic concept of Gr\"obner bases. Subsequently, the Lagrangians serve as a basis for reanalyzing the results of certain kinematic tests of Special Relativity that were carried out in the last century. Thereby, a number of new constraints on coefficients of the nonminimal SME is obtained. In the last part of the paper we point out connections to Finsler geometry.
| 10.475424
| 10.512941
| 9.320296
| 9.115032
| 10.090077
| 9.625479
| 10.345019
| 9.884029
| 9.389976
| 9.287648
| 10.280205
| 10.221539
| 10.08804
| 9.845096
| 10.257185
| 9.877497
| 10.199321
| 9.971665
| 10.261315
| 10.067137
| 10.349789
|
hep-th/0106145
|
Kazuo Ghoroku
|
Kazuo Ghoroku and Akihiro Nakamura
|
Massive vector trapping as a gauge boson on a brane
|
11 pages, no figure, LaTex
|
Phys.Rev. D65 (2002) 084017
|
10.1103/PhysRevD.65.084017
|
FIT HE - 01-02, Kagoshima HE-01-3
|
hep-th
| null |
We propose a mechanism to trap massive vector fields as a photon on the
Randall-Sundrum brane embedded in the five dimensional AdS space. This
localization-mechanism of the photon is realized by considering a brane action,
to which a quadratic potential of the bulk-vector fields is added. We also
point out that this potential gives several constraints on the fluctuations of
the vector fields in the bulk space.
|
[
{
"created": "Sat, 16 Jun 2001 02:36:36 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2001 00:50:09 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Ghoroku",
"Kazuo",
""
],
[
"Nakamura",
"Akihiro",
""
]
] |
We propose a mechanism to trap massive vector fields as a photon on the Randall-Sundrum brane embedded in the five dimensional AdS space. This localization-mechanism of the photon is realized by considering a brane action, to which a quadratic potential of the bulk-vector fields is added. We also point out that this potential gives several constraints on the fluctuations of the vector fields in the bulk space.
| 14.141637
| 12.833232
| 12.320286
| 12.227003
| 12.095173
| 14.768313
| 12.686049
| 12.780698
| 11.811542
| 13.53676
| 13.003444
| 12.747602
| 13.196303
| 12.462649
| 12.747623
| 12.782513
| 12.371647
| 13.132166
| 12.382197
| 13.366525
| 12.308325
|
1301.1687
|
Peng Gao
|
Peng Gao and Michael R. Douglas
|
Geodesics on Calabi-Yau manifolds and winding states in nonlinear sigma
models
|
minor corrections, 43 pages, to appear in frontiers in mathematical
physics. Frontiers in Physics, Dec 16, 2013
| null |
10.3389/fphy.2013.00026
| null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We conjecture that a non-flat $D$-real-dimensional compact Calabi-Yau
manifold, such as a quintic hypersurface with D=6, or a K3 manifold with D=4,
has locally length minimizing closed geodesics, and that the number of these
with length less than L grows asymptotically as L^{D}. We also outline the
physical arguments behind this conjecture, which involve the claim that all
states in a nonlinear sigma model can be identified as "momentum" and "winding"
states in the large volume limit.
|
[
{
"created": "Tue, 8 Jan 2013 21:00:11 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Dec 2013 06:19:52 GMT",
"version": "v2"
}
] |
2013-12-19
|
[
[
"Gao",
"Peng",
""
],
[
"Douglas",
"Michael R.",
""
]
] |
We conjecture that a non-flat $D$-real-dimensional compact Calabi-Yau manifold, such as a quintic hypersurface with D=6, or a K3 manifold with D=4, has locally length minimizing closed geodesics, and that the number of these with length less than L grows asymptotically as L^{D}. We also outline the physical arguments behind this conjecture, which involve the claim that all states in a nonlinear sigma model can be identified as "momentum" and "winding" states in the large volume limit.
| 12.400553
| 13.698708
| 13.259392
| 11.17078
| 12.317819
| 12.87674
| 14.31364
| 12.706942
| 11.86419
| 14.369238
| 11.238629
| 11.71171
| 12.313251
| 11.258184
| 11.627993
| 11.32879
| 11.944086
| 11.261833
| 11.125914
| 12.905867
| 11.202589
|
hep-th/9704059
|
Zurab Kakushadze
|
Zurab Kakushadze
|
Aspects of N=1 Type I-Heterotic Duality in Four Dimensions
|
18 pages, Revtex 3.0. Minor misprints corrected, one more example
added, references updated (to appear in Nucl. Phys. B)
|
Nucl.Phys. B512 (1998) 221-236
|
10.1016/S0550-3213(97)00783-9
|
HUTP-97/A015, NUB 3157
|
hep-th
| null |
In this paper we discuss some aspects of N=1 type I-heterotic string duality
in four dimensions. We consider a particular example of a (weak-weak) dual pair
where on the type I side there are only D9-branes corresponding to perturbative
heterotic description in a certain region of the moduli space. We match the
perturbative type I and heterotic tree-level massless spectra via giving
certain scalars appropriate vevs, and point out the crucial role of the
perturbative superpotential (on the heterotic side) for this matching. We also
discuss the role of anomalous U(1) gauge symmetry present in both type I and
heterotic models. In the perturbative regime we match the (tree-level) moduli
spaces of these models. Since both type I and heterotic models can be treated
perturbatively, we are able to discuss a dictionary that in generic models maps
type I description onto heterotic one, and vice-versa. Finally, we discuss
possible directions to study perturbative quantum corrections to the moduli
space, as well as outline ways to learn about the non-perturbative effects in
both descriptions.
|
[
{
"created": "Tue, 8 Apr 1997 00:12:38 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Apr 1997 22:53:41 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Nov 1997 23:57:11 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Kakushadze",
"Zurab",
""
]
] |
In this paper we discuss some aspects of N=1 type I-heterotic string duality in four dimensions. We consider a particular example of a (weak-weak) dual pair where on the type I side there are only D9-branes corresponding to perturbative heterotic description in a certain region of the moduli space. We match the perturbative type I and heterotic tree-level massless spectra via giving certain scalars appropriate vevs, and point out the crucial role of the perturbative superpotential (on the heterotic side) for this matching. We also discuss the role of anomalous U(1) gauge symmetry present in both type I and heterotic models. In the perturbative regime we match the (tree-level) moduli spaces of these models. Since both type I and heterotic models can be treated perturbatively, we are able to discuss a dictionary that in generic models maps type I description onto heterotic one, and vice-versa. Finally, we discuss possible directions to study perturbative quantum corrections to the moduli space, as well as outline ways to learn about the non-perturbative effects in both descriptions.
| 8.029642
| 7.708206
| 9.22918
| 7.554669
| 8.100394
| 8.084415
| 8.238811
| 7.635115
| 7.907625
| 8.395368
| 7.637504
| 7.831586
| 8.121929
| 7.722318
| 7.724941
| 7.732023
| 7.861493
| 7.835519
| 7.762981
| 7.915768
| 7.602613
|
0706.4481
|
Stephon Alexander
|
Stephon H.S. Alexander
|
Isogravity: Toward an Electroweak and Gravitational Unification
| null | null | null | null |
hep-th
| null |
We present a model that unites the electroweak interaction with general
relativity without specifying a space-time metric. This is made possible by
embedding the kinetic terms for gravity and electroweak theory using one $\SL$
connection variable. The gauge theory is specified without relying on a
space-time metric. We show that once a symmetry breaking mechanism is
implemented that selects a global time-like direction, the electroweak theory
and general relativity emerges with their associated massless degrees of
freedom; the spin 1 vector boson and the spin 2 graviton.
|
[
{
"created": "Fri, 29 Jun 2007 19:58:42 GMT",
"version": "v1"
}
] |
2007-07-02
|
[
[
"Alexander",
"Stephon H. S.",
""
]
] |
We present a model that unites the electroweak interaction with general relativity without specifying a space-time metric. This is made possible by embedding the kinetic terms for gravity and electroweak theory using one $\SL$ connection variable. The gauge theory is specified without relying on a space-time metric. We show that once a symmetry breaking mechanism is implemented that selects a global time-like direction, the electroweak theory and general relativity emerges with their associated massless degrees of freedom; the spin 1 vector boson and the spin 2 graviton.
| 11.199413
| 9.964532
| 10.768933
| 10.062947
| 10.704208
| 10.416712
| 10.234969
| 10.123207
| 10.27188
| 11.43598
| 10.016114
| 10.530396
| 10.272532
| 10.188156
| 10.196717
| 10.257483
| 10.139548
| 10.173901
| 10.356573
| 10.53318
| 10.491655
|
1903.02862
|
Vincent Braunack-Mayer
|
Vincent Braunack-Mayer
|
Parametrised Homotopy Theory and Gauge Enhancement
|
6 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium
Higher Structures in M-Theory, August 2018
| null |
10.1002/prop.201910003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review a first-principles derivation of Type IIA D-brane charges from
M-theory degrees of freedom in the approximation of super rational homotopy
theory.
|
[
{
"created": "Thu, 7 Mar 2019 12:13:31 GMT",
"version": "v1"
}
] |
2021-07-28
|
[
[
"Braunack-Mayer",
"Vincent",
""
]
] |
We review a first-principles derivation of Type IIA D-brane charges from M-theory degrees of freedom in the approximation of super rational homotopy theory.
| 20.957064
| 17.463633
| 32.350517
| 11.644386
| 13.58162
| 12.495922
| 13.154447
| 11.986067
| 17.877399
| 26.586189
| 13.033677
| 13.288831
| 19.356207
| 14.446124
| 13.52274
| 13.451685
| 14.133709
| 13.532477
| 13.768132
| 17.027475
| 14.455485
|
hep-th/9302127
| null |
Juan Garcia-Bellido
|
Quantum Black Holes
|
6 pag, LaTeX, SU-ITP-93/4
| null | null | null |
hep-th
| null |
Clarified certain points and related it to other work.
|
[
{
"created": "Fri, 26 Feb 1993 01:29:00 GMT",
"version": "v1"
},
{
"created": "Tue, 18 May 1993 18:05:00 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Garcia-Bellido",
"Juan",
""
]
] |
Clarified certain points and related it to other work.
| 234.724869
| 185.758286
| 139.99231
| 130.98233
| 155.204422
| 153.085236
| 193.79361
| 125.340454
| 182.105057
| 162.202072
| 124.407524
| 111.215759
| 111.151184
| 97.896095
| 105.977127
| 117.856232
| 129.671463
| 110.386482
| 101.185478
| 121.195595
| 114.67556
|
hep-th/9912242
|
Mikhail G. Ivanov
|
M. G. Ivanov and I. V. Volovich
|
Metric Fluctuations in Brane Worlds
|
6 pages, LaTeX, Missed term in eq.(15) is added, which does not
change the result
| null | null | null |
hep-th
| null |
Recently a realization of the four-dimensional gravity on a brane in
five-dimensional spacetime has been discussed. Randall and Sundrum have shown
that the equation for the longitudinal components of the metric fluctuations
admit a normalizable zero mode solution, which has been interpreted as the
localized gravity on the brane. We point out that the equation for the
transverse components of the metric fluctuations has a solutions which is not
localized on the brane. This indicates that probably the effective theory is
unstable or, in other words, actually it is not four-dimensional but
five-dimensional. Perhaps a modification of the proposal by using matter fields
can lead to the trapping of gravity to the brane.
|
[
{
"created": "Thu, 23 Dec 1999 19:38:38 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Dec 1999 18:08:16 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Jan 2000 14:24:01 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Ivanov",
"M. G.",
""
],
[
"Volovich",
"I. V.",
""
]
] |
Recently a realization of the four-dimensional gravity on a brane in five-dimensional spacetime has been discussed. Randall and Sundrum have shown that the equation for the longitudinal components of the metric fluctuations admit a normalizable zero mode solution, which has been interpreted as the localized gravity on the brane. We point out that the equation for the transverse components of the metric fluctuations has a solutions which is not localized on the brane. This indicates that probably the effective theory is unstable or, in other words, actually it is not four-dimensional but five-dimensional. Perhaps a modification of the proposal by using matter fields can lead to the trapping of gravity to the brane.
| 9.141274
| 8.161568
| 8.348996
| 8.318027
| 8.23514
| 8.098953
| 8.387085
| 8.387587
| 8.045093
| 8.551053
| 8.357527
| 8.397823
| 8.330253
| 8.391742
| 8.287843
| 8.524525
| 8.130242
| 8.296261
| 8.303642
| 8.046906
| 8.37991
|
1103.4940
|
Dionisio Bazeia
|
D. Bazeia, E. da Hora, D. Rubiera-Garcia
|
Compact vortex in a generalized Born-Infeld model
|
6 pages, 6 figures; version to appear in PRD
|
Phys. Rev. D 84, 125005 (2011)
|
10.1103/PhysRevD.84.125005
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study vortexlike solutions in a generalized Born-Infeld model. The model
is driven by two distinct parameters, one which deals with the Born-Infeld
term, and the other, which controls the presence of high-order power term in
the covariant derivative of the Higgs field. We numerically solve the equations
of motion and depict the main vortex features, for several values of the two
parameters of the model. The results indicate the presence of compact vortex,
when the parameter responsible for the high-order power in the derivative
increases to sufficiently large values.
|
[
{
"created": "Fri, 25 Mar 2011 10:26:13 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 2011 12:51:03 GMT",
"version": "v2"
}
] |
2011-12-20
|
[
[
"Bazeia",
"D.",
""
],
[
"da Hora",
"E.",
""
],
[
"Rubiera-Garcia",
"D.",
""
]
] |
We study vortexlike solutions in a generalized Born-Infeld model. The model is driven by two distinct parameters, one which deals with the Born-Infeld term, and the other, which controls the presence of high-order power term in the covariant derivative of the Higgs field. We numerically solve the equations of motion and depict the main vortex features, for several values of the two parameters of the model. The results indicate the presence of compact vortex, when the parameter responsible for the high-order power in the derivative increases to sufficiently large values.
| 9.940132
| 8.473308
| 9.424143
| 8.678522
| 8.988232
| 8.922668
| 8.204808
| 8.632543
| 8.012803
| 9.675488
| 8.413895
| 8.495056
| 9.146323
| 8.982354
| 8.7259
| 8.821965
| 8.858164
| 8.947905
| 8.884514
| 9.388864
| 8.663323
|
2004.06924
|
Rong-Xin Miao
|
Peng-Ju Hu, Qi-Lin Hu, Rong-Xin Miao
|
Note on anomalous currents for a free theory
|
23 pages, 5 figures, accepted for publication in PRD
|
Phys. Rev. D 101, 125010 (2020)
|
10.1103/PhysRevD.101.125010
| null |
hep-th cond-mat.other gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently it is found that, due to Weyl anomaly, an external magnetic field
can induce anomalous currents near a boundary. In this note, we study anomalous
currents for complex scalars and Dirac fields in general dimensions. We develop
a perturbation method to calculate Green's function in the spacetime with
boundaries. By applying this method, we obtain anomalous currents up to the
linear order of magnetic fields in a half space and in a strip. To the best of
our knowledge, the results for Dirac fermions and for strips are new. It is
remarkable that, unlike the scalars and holographic BCFT, the anomalous
currents of Dirac fields are independent of boundary conditions in general
dimensions. Besides, the currents of Dirac fields are always larger than those
of complex scalars. Finally, we find an exact formal expression of the
anomalous current in a half space. The result is expressed in momentum
integrals, which can be evaluated numerically. We find that the mass suppresses
the anomalous currents as expected.
|
[
{
"created": "Wed, 15 Apr 2020 07:48:14 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Apr 2020 13:21:43 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Jun 2020 12:21:49 GMT",
"version": "v3"
}
] |
2020-07-01
|
[
[
"Hu",
"Peng-Ju",
""
],
[
"Hu",
"Qi-Lin",
""
],
[
"Miao",
"Rong-Xin",
""
]
] |
Recently it is found that, due to Weyl anomaly, an external magnetic field can induce anomalous currents near a boundary. In this note, we study anomalous currents for complex scalars and Dirac fields in general dimensions. We develop a perturbation method to calculate Green's function in the spacetime with boundaries. By applying this method, we obtain anomalous currents up to the linear order of magnetic fields in a half space and in a strip. To the best of our knowledge, the results for Dirac fermions and for strips are new. It is remarkable that, unlike the scalars and holographic BCFT, the anomalous currents of Dirac fields are independent of boundary conditions in general dimensions. Besides, the currents of Dirac fields are always larger than those of complex scalars. Finally, we find an exact formal expression of the anomalous current in a half space. The result is expressed in momentum integrals, which can be evaluated numerically. We find that the mass suppresses the anomalous currents as expected.
| 7.583102
| 7.291889
| 7.629578
| 7.285445
| 7.503148
| 7.081246
| 7.074423
| 7.19582
| 7.022177
| 7.86533
| 7.359999
| 7.334518
| 7.657119
| 7.189734
| 7.338857
| 7.120907
| 7.423765
| 7.161454
| 7.243956
| 7.514567
| 7.217227
|
hep-th/0007134
|
Leopoldo A. Pando Zayas
|
Leopoldo A. Pando Zayas
|
Ricci-Parallelizable Spaces in the NS-NS Sector: AdS_3 x S^7
|
8 pages, latex. v2: sign corrected in central charge; references
added
| null | null |
UM--TH/00-02
|
hep-th
| null |
We provide a class of nondilatonic solutions to the NS-NS sector of string
theory. The solutions consist of products of Ricci-parallelizable spaces with
adjusted radii. A representative of this class, AdS_3 x S^7, is presented in
detail. Some comments on possible brane connections are made.
|
[
{
"created": "Mon, 17 Jul 2000 15:14:03 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2000 17:55:20 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Zayas",
"Leopoldo A. Pando",
""
]
] |
We provide a class of nondilatonic solutions to the NS-NS sector of string theory. The solutions consist of products of Ricci-parallelizable spaces with adjusted radii. A representative of this class, AdS_3 x S^7, is presented in detail. Some comments on possible brane connections are made.
| 15.340749
| 11.259353
| 13.523565
| 12.012945
| 13.436024
| 12.839327
| 11.123895
| 12.019623
| 13.125565
| 13.544207
| 12.189395
| 12.633724
| 12.416697
| 13.203485
| 12.945051
| 12.247931
| 13.237893
| 12.943684
| 13.061847
| 13.285491
| 13.517982
|
1805.05987
|
Urs Schreiber
|
John Huerta, Hisham Sati, Urs Schreiber
|
Real ADE-equivariant (co)homotopy and Super M-branes
|
87 pages, various figures, v2: minor polishing, v3: published version
|
Communications in Mathematical Physics 2019
|
10.1007/s00220-019-03442-3
| null |
hep-th math-ph math.AT math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A key open problem in M-theory is the identification of the degrees of
freedom that are expected to be hidden at ADE-singularities in spacetime.
Comparison with the classification of D-branes by K-theory suggests that the
answer must come from the right choice of generalized cohomology theory for
M-branes. Here we show that real equivariant cohomotopy on superspaces is a
consistent such choice, at least rationally. After explaining this new
approach, we demonstrate how to use Elmendorf's theorem in equivariant homotopy
theory to reveal ADE-singularities as part of the data of equivariant
4-sphere-valued super-cocycles on 11d super-spacetime. We classify these
super-cocycles and find a detailed black brane scan that enhances the entries
of the old brane scan to cascades of fundamental brane super-cocycles on strata
of intersecting black M-brane species. We find that on each singular stratum
the black brane's instanton contribution, namely its super
Nambu-Goto/Green-Schwarz action, appears as the homotopy datum associated to
the morphisms in the orbit category.
|
[
{
"created": "Tue, 15 May 2018 18:35:43 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2018 15:20:07 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Mar 2019 10:38:09 GMT",
"version": "v3"
}
] |
2019-05-24
|
[
[
"Huerta",
"John",
""
],
[
"Sati",
"Hisham",
""
],
[
"Schreiber",
"Urs",
""
]
] |
A key open problem in M-theory is the identification of the degrees of freedom that are expected to be hidden at ADE-singularities in spacetime. Comparison with the classification of D-branes by K-theory suggests that the answer must come from the right choice of generalized cohomology theory for M-branes. Here we show that real equivariant cohomotopy on superspaces is a consistent such choice, at least rationally. After explaining this new approach, we demonstrate how to use Elmendorf's theorem in equivariant homotopy theory to reveal ADE-singularities as part of the data of equivariant 4-sphere-valued super-cocycles on 11d super-spacetime. We classify these super-cocycles and find a detailed black brane scan that enhances the entries of the old brane scan to cascades of fundamental brane super-cocycles on strata of intersecting black M-brane species. We find that on each singular stratum the black brane's instanton contribution, namely its super Nambu-Goto/Green-Schwarz action, appears as the homotopy datum associated to the morphisms in the orbit category.
| 12.975889
| 15.117604
| 17.017523
| 13.924811
| 14.877629
| 15.991382
| 14.350093
| 14.038225
| 13.730222
| 18.020475
| 13.606424
| 13.253773
| 14.1618
| 12.648394
| 13.236609
| 13.906696
| 13.285526
| 13.270942
| 13.466135
| 13.715374
| 12.995212
|
1807.02409
|
Andrei Mironov
|
A. Mironov, A. Morozov
|
Sum rules for characters from character-preservation property of matrix
models
|
17 pages
|
J. High Energ. Phys. 2018 (2018) 163
|
10.1007/JHEP08(2018)163
|
FIAN/TD-12/18; IITP/TH-12/18; ITEP/TH-18/18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the main features of eigenvalue matrix models is that the averages of
characters are again characters, what can be considered as a far-going
generalization of the Fourier transform property of Gaussian exponential. This
is true for the standard Hermitian and unitary (trigonometric) matrix models
and for their various deformations, classical and quantum ones. Arising
explicit formulas for the partition functions are very efficient for practical
computer calculations. However, to handle them theoretically, one needs to tame
the remaining finite sums over representations of a given size, which turns
into an interesting conceptual problem. Already the semicircle distribution in
the large-$N$ limit implies interesting combinatorial sum rules for characters.
We describe also implications to $W$-representations, including a character
decomposition of cut-and-join operators, which unexpectedly involves only
single-hook diagrams and also requires non-trivial summation identities.
|
[
{
"created": "Fri, 6 Jul 2018 13:45:50 GMT",
"version": "v1"
}
] |
2018-09-05
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
One of the main features of eigenvalue matrix models is that the averages of characters are again characters, what can be considered as a far-going generalization of the Fourier transform property of Gaussian exponential. This is true for the standard Hermitian and unitary (trigonometric) matrix models and for their various deformations, classical and quantum ones. Arising explicit formulas for the partition functions are very efficient for practical computer calculations. However, to handle them theoretically, one needs to tame the remaining finite sums over representations of a given size, which turns into an interesting conceptual problem. Already the semicircle distribution in the large-$N$ limit implies interesting combinatorial sum rules for characters. We describe also implications to $W$-representations, including a character decomposition of cut-and-join operators, which unexpectedly involves only single-hook diagrams and also requires non-trivial summation identities.
| 21.988173
| 20.128988
| 23.79199
| 17.87912
| 19.811798
| 19.117592
| 20.51388
| 19.534363
| 18.850248
| 25.633097
| 19.331202
| 19.100376
| 21.007618
| 19.561499
| 19.886105
| 20.232098
| 19.286821
| 19.793676
| 19.310013
| 20.977457
| 19.83036
|
2407.20333
|
Christian Kneissl
|
Christian Kneissl
|
Spin cobordism and the gauge group of type I/heterotic string theory
|
58 pages, 19 figures
| null | null |
MPP-2024-159
|
hep-th math.AT
|
http://creativecommons.org/licenses/by/4.0/
|
Cobordism offers an unique perspective into the non-perturbative sector of
string theory by demanding the absence of higher form global symmetries for
quantum gravitational consistency. In this work we compute the spin cobordism
groups of the classifying space of $Spin(32)/\mathbb{Z}_2$ relevant to
describing type I/heterotic string theory and explore their (shared)
non-perturbative sector. To facilitate this we leverage our knowledge of type I
D-brane physics behind the related ko-homology. The computation utilizes
several established tools from algebraic topology, the focus here is on two
spectral sequences. First, the Eilenberg-Moore spectral sequence is used to
obtain the cohomology of the classifying space of the $Spin(32)/\mathbb{Z}_2$
with $\mathbb{Z}_2$ coefficients. This will enable us to start the Adams
spectral sequence for finally obtaining our result, the spin cobordism groups.
We conclude by providing a string theoretic interpretation to the cobordism
groups.
|
[
{
"created": "Mon, 29 Jul 2024 18:00:07 GMT",
"version": "v1"
}
] |
2024-07-31
|
[
[
"Kneissl",
"Christian",
""
]
] |
Cobordism offers an unique perspective into the non-perturbative sector of string theory by demanding the absence of higher form global symmetries for quantum gravitational consistency. In this work we compute the spin cobordism groups of the classifying space of $Spin(32)/\mathbb{Z}_2$ relevant to describing type I/heterotic string theory and explore their (shared) non-perturbative sector. To facilitate this we leverage our knowledge of type I D-brane physics behind the related ko-homology. The computation utilizes several established tools from algebraic topology, the focus here is on two spectral sequences. First, the Eilenberg-Moore spectral sequence is used to obtain the cohomology of the classifying space of the $Spin(32)/\mathbb{Z}_2$ with $\mathbb{Z}_2$ coefficients. This will enable us to start the Adams spectral sequence for finally obtaining our result, the spin cobordism groups. We conclude by providing a string theoretic interpretation to the cobordism groups.
| 9.632396
| 9.813242
| 9.915468
| 8.656828
| 9.161276
| 8.822546
| 9.238919
| 8.665908
| 8.507525
| 10.929321
| 8.334306
| 8.443244
| 9.041968
| 8.511614
| 8.427364
| 8.228335
| 8.484697
| 8.318856
| 8.297084
| 8.982322
| 8.428369
|
1008.3637
|
Anzhong Wang
|
Anzhong Wang
|
Vector and tensor perturbations in Horava-Lifshitz cosmology
|
Correct some typos and add new references. Version to be published in
Physical Reviews D
|
Phys.Rev.D82:124063,2010
|
10.1103/PhysRevD.82.124063
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study cosmological vector and tensor perturbations in Horava-Lifshitz
gravity, adopting the most general Sotiriou-Visser-Weinfurtner generalization
without the detailed balance but with projectability condition. After deriving
the general formulas in a flat FRW background, we find that the vector
perturbations are identical to those given in general relativity. This is true
also in the non-flat cases. For the tensor perturbations, high order
derivatives of the curvatures produce effectively an anisotropic stress, which
could have significant efforts on the high-frequency modes of gravitational
waves, while for the low-frenquency modes, the efforts are negligible. The
power spectrum is scale-invariant in the UV regime, because of the particular
dispersion relations. But, due to lower-order corrections, it will eventually
reduce to that given in GR in the IR limit. Applying the general formulas to
the de Sitter and power-law backgrounds, we calculate the power spectrum and
index, using the uniform approximations, and obtain their analytical
expressions in both cases.
|
[
{
"created": "Sat, 21 Aug 2010 15:05:35 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Dec 2010 19:08:04 GMT",
"version": "v2"
}
] |
2011-02-02
|
[
[
"Wang",
"Anzhong",
""
]
] |
We study cosmological vector and tensor perturbations in Horava-Lifshitz gravity, adopting the most general Sotiriou-Visser-Weinfurtner generalization without the detailed balance but with projectability condition. After deriving the general formulas in a flat FRW background, we find that the vector perturbations are identical to those given in general relativity. This is true also in the non-flat cases. For the tensor perturbations, high order derivatives of the curvatures produce effectively an anisotropic stress, which could have significant efforts on the high-frequency modes of gravitational waves, while for the low-frenquency modes, the efforts are negligible. The power spectrum is scale-invariant in the UV regime, because of the particular dispersion relations. But, due to lower-order corrections, it will eventually reduce to that given in GR in the IR limit. Applying the general formulas to the de Sitter and power-law backgrounds, we calculate the power spectrum and index, using the uniform approximations, and obtain their analytical expressions in both cases.
| 9.699192
| 10.020907
| 9.927807
| 9.609952
| 10.52031
| 10.19478
| 9.745405
| 9.376137
| 9.589795
| 10.945416
| 10.13615
| 9.885078
| 9.782775
| 9.456409
| 9.638954
| 9.57414
| 9.62309
| 9.483428
| 9.5417
| 9.980312
| 9.595376
|
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