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2.01k
| perplexity_Llama-3.1-8B
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496
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float64 2.9
431
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float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
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| perplexity_s8-L-3.1-8B-base
float64 2.89
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| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
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float64 2.92
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float64 2.86
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float64 2.93
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float64 2.96
669
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float64 2.95
682
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float64 2.92
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0609018
|
Igor Kriz
|
Igor Kriz
|
Perturbative deformations of conformal field theories revisited
|
Citations, minor corrections
|
Rev.Math.Phys.22:117-192,2010
|
10.1142/S0129055X10003916
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the moduli space of conformal field theories by setting up a
canonical mathematical process for exponentiating perturbations corresponding
to critical fields. We apply this process to the free field theory and the
Gepner models of the Fermat quintic and quartic. We find algebraic obstructions
to exponentiating purely perturbative deformations in the case of the quintic,
while in the case of the quartic the obstructions vanish. While this result may
seem surprising at first, we find an explanation of these effects via the
renormalization analysis of Nemeschansky-Sen.
|
[
{
"created": "Sat, 2 Sep 2006 23:02:07 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Mar 2007 04:26:06 GMT",
"version": "v2"
},
{
"created": "Sat, 18 Aug 2007 21:38:22 GMT",
"version": "v3"
},
{
"created": "Mon, 1 Oct 2007 18:41:17 GMT",
"version": "v4"
},
{
"created": "Fri, 1 Feb 2008 20:25:10 GMT",
"version": "v5"
},
{
"created": "Mon, 30 Mar 2009 20:36:20 GMT",
"version": "v6"
}
] |
2010-04-07
|
[
[
"Kriz",
"Igor",
""
]
] |
We investigate the moduli space of conformal field theories by setting up a canonical mathematical process for exponentiating perturbations corresponding to critical fields. We apply this process to the free field theory and the Gepner models of the Fermat quintic and quartic. We find algebraic obstructions to exponentiating purely perturbative deformations in the case of the quintic, while in the case of the quartic the obstructions vanish. While this result may seem surprising at first, we find an explanation of these effects via the renormalization analysis of Nemeschansky-Sen.
| 10.108464
| 10.68589
| 13.477929
| 9.829024
| 11.01412
| 10.811973
| 10.588473
| 10.071429
| 9.533599
| 12.542177
| 10.47991
| 9.944648
| 11.945144
| 9.737798
| 10.324593
| 9.464337
| 10.025226
| 9.896166
| 9.983551
| 11.672405
| 9.747272
|
1106.0859
|
Dimo Arnaudov
|
D. Arnaudov, R. C. Rashkov
|
Quadratic corrections to three-point functions
|
10 pages, no figures, improvements made
|
Fortschr. Phys. 60, 217 (2012)
|
10.1002/prop.201100081
|
TUW-11-10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following the recent progress on the calculation of three-point correlators
with two "heavy" (with large quantum numbers) and one "light" states at strong
coupling, we compute the logarithmic divergent terms of leading bosonic quantum
corrections to correlation functions with "heavy" operators corresponding to
simple string solutions in AdS_5 x S^5. The "light" operator is chosen to be
the dilaton. An important relation connecting the corrections to both the
dimensions of "heavy" states, and the structure constants is recovered.
|
[
{
"created": "Sat, 4 Jun 2011 21:36:00 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jul 2011 13:35:17 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Nov 2011 14:26:05 GMT",
"version": "v3"
}
] |
2015-05-28
|
[
[
"Arnaudov",
"D.",
""
],
[
"Rashkov",
"R. C.",
""
]
] |
Following the recent progress on the calculation of three-point correlators with two "heavy" (with large quantum numbers) and one "light" states at strong coupling, we compute the logarithmic divergent terms of leading bosonic quantum corrections to correlation functions with "heavy" operators corresponding to simple string solutions in AdS_5 x S^5. The "light" operator is chosen to be the dilaton. An important relation connecting the corrections to both the dimensions of "heavy" states, and the structure constants is recovered.
| 12.587177
| 8.631816
| 11.388221
| 8.927601
| 9.82572
| 9.317777
| 9.007819
| 9.308941
| 9.545808
| 13.918174
| 9.153177
| 10.148219
| 11.663488
| 9.681574
| 10.385855
| 9.872677
| 9.993529
| 9.813384
| 10.14269
| 11.714877
| 9.951315
|
hep-th/9912292
|
Ivanov Evgenyi
|
F.Delduc, E. Ivanov, S. Krivonos
|
1/4 PBGS and Superparticle Actions
|
15 pages, LaTeX, Talk given by S.K. at the XIV-th Max Born Symposium,
Karpacz, Poland, September 21-25, 1999
| null |
10.1142/9789812793263_0012
| null |
hep-th
| null |
We construct the worldline superfield massive superparticle actions which
preserve 1/4 portion of the underlying higher-dimensional supersymmetry. We
consider the cases of N=4/N=1 and N=8/N=2 partial breaking. In the first case
we present the corresponding Green-Schwarz type target superspace action with
one kappa supersymmetry. In the second case we find out two possibilities, one
of which is a direct generalization of the N=4/N=1 case, while another is
essentially different.
|
[
{
"created": "Fri, 31 Dec 1999 15:50:07 GMT",
"version": "v1"
}
] |
2016-11-23
|
[
[
"Delduc",
"F.",
""
],
[
"Ivanov",
"E.",
""
],
[
"Krivonos",
"S.",
""
]
] |
We construct the worldline superfield massive superparticle actions which preserve 1/4 portion of the underlying higher-dimensional supersymmetry. We consider the cases of N=4/N=1 and N=8/N=2 partial breaking. In the first case we present the corresponding Green-Schwarz type target superspace action with one kappa supersymmetry. In the second case we find out two possibilities, one of which is a direct generalization of the N=4/N=1 case, while another is essentially different.
| 9.39755
| 6.236255
| 9.339541
| 7.24333
| 8.627808
| 9.203318
| 8.861775
| 7.570074
| 7.446768
| 9.994604
| 7.206412
| 8.017098
| 8.816421
| 7.633189
| 8.270123
| 8.730986
| 8.286926
| 8.127758
| 8.086341
| 9.121215
| 7.768213
|
hep-th/0401065
|
Valery N. Marachevsky
|
Valery N.Marachevsky
|
Spectral functions and their applications
|
11 pages, Latex2e
|
in "Lectures on the Physics of Highly Correlated Electron Systems
VIII: Eight Training Course" edited by A.Avella and F.Mancini, AIP Conf.
Proceedings Vol.715, p.215 (2004)
|
10.1063/1.1800737
| null |
hep-th hep-ph
| null |
We give an introduction to the heat kernel technique and zeta function. Two
applications are considered. First we derive the high temperature asymptotics
of the free energy for boson fields in terms of the heat kernel expansion and
zeta function. Another application is chiral anomaly for local (MIT bag)
boundary conditions.
|
[
{
"created": "Sun, 11 Jan 2004 21:37:47 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Marachevsky",
"Valery N.",
""
]
] |
We give an introduction to the heat kernel technique and zeta function. Two applications are considered. First we derive the high temperature asymptotics of the free energy for boson fields in terms of the heat kernel expansion and zeta function. Another application is chiral anomaly for local (MIT bag) boundary conditions.
| 14.05506
| 8.106615
| 12.821441
| 9.409937
| 8.434605
| 7.753378
| 8.014316
| 8.41901
| 9.262865
| 11.748092
| 9.883429
| 10.48329
| 12.00996
| 10.897099
| 10.782976
| 10.441184
| 10.813577
| 10.233508
| 10.524638
| 11.932946
| 10.826137
|
0910.5710
|
Sergey Gavrilov P
|
S.P. Gavrilov, D.M. Gitman
|
On "Schwinger Mechanism for Gluon Pair Production in the Presence of
Arbitrary Time Dependent Chromo-Electric Field"
|
4 pages
|
Eur.Phys.J.C64:81-83,2009
|
10.1140/epjc/s10052-009-1135-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently the paper "Schwinger Mechanism for Gluon Pair Production in the
Presence of Arbitrary Time Dependent Chromo-Electric Field" by G. C. Nayak was
published [Eur. Phys. J. C 59, 715 (2009); arXiv:0708.2430]. Its aim is to
obtain an exact expression for the probability of non-perturbative gluon pair
production per unit time per unit volume and per unit transverse momentum in an
arbitrary time-dependent chromo-electric background field. We believe that the
obtained expression is open to question. We demonstrate its inconsistency on
some well-known examples. We think that this is a consequence of using the
so-called "shift theorem" [arXiv:hep-th/0609192] in deriving the expression for
the probability. We make some critical comments on the theorem and its
applicability to the problem in question.
|
[
{
"created": "Thu, 29 Oct 2009 19:26:55 GMT",
"version": "v1"
}
] |
2010-02-02
|
[
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
]
] |
Recently the paper "Schwinger Mechanism for Gluon Pair Production in the Presence of Arbitrary Time Dependent Chromo-Electric Field" by G. C. Nayak was published [Eur. Phys. J. C 59, 715 (2009); arXiv:0708.2430]. Its aim is to obtain an exact expression for the probability of non-perturbative gluon pair production per unit time per unit volume and per unit transverse momentum in an arbitrary time-dependent chromo-electric background field. We believe that the obtained expression is open to question. We demonstrate its inconsistency on some well-known examples. We think that this is a consequence of using the so-called "shift theorem" [arXiv:hep-th/0609192] in deriving the expression for the probability. We make some critical comments on the theorem and its applicability to the problem in question.
| 6.904071
| 7.022515
| 6.371871
| 6.120265
| 6.782606
| 6.812418
| 6.628798
| 6.786531
| 6.130321
| 6.925791
| 6.67419
| 6.612517
| 6.526513
| 6.534097
| 6.505342
| 6.499074
| 6.394559
| 6.515168
| 6.554605
| 6.590765
| 6.468608
|
hep-th/0105234
|
Solange Odile Saliu
|
C. Bizdadea, S. O. Saliu
|
Lagrangian Sp(3) BRST symmetry for irreducible gauge theories
|
LaTeX 2e, 42 pages, to appear in Int. J. Mod. Phys. A
|
Int.J.Mod.Phys. A16 (2001) 2975-3010
|
10.1142/S0217751X01004165
| null |
hep-th
| null |
The Lagrangian Sp(3) BRST symmetry for irreducible gauge theories is
constructed in the framework of homological perturbation theory. The canonical
generator of this extended symmetry is shown to exist. A gauge-fixing procedure
specific to the standard antibracket-antifield formalism, that leads to an
effective action, which is invariant under all the three differentials of the
Sp(3) algebra, is given.
|
[
{
"created": "Wed, 23 May 2001 08:46:51 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Bizdadea",
"C.",
""
],
[
"Saliu",
"S. O.",
""
]
] |
The Lagrangian Sp(3) BRST symmetry for irreducible gauge theories is constructed in the framework of homological perturbation theory. The canonical generator of this extended symmetry is shown to exist. A gauge-fixing procedure specific to the standard antibracket-antifield formalism, that leads to an effective action, which is invariant under all the three differentials of the Sp(3) algebra, is given.
| 11.033317
| 9.423234
| 13.601969
| 8.682091
| 9.378057
| 9.204593
| 9.816862
| 9.318625
| 8.894078
| 13.691361
| 8.563584
| 9.316822
| 11.445008
| 9.843965
| 10.10708
| 9.759398
| 9.690653
| 9.85406
| 9.63994
| 11.598265
| 9.408377
|
hep-th/0010092
|
Jarah Evslin
|
Jarah Evslin, Uday Varadarajan and John E. Wang
|
Backreaction I: The Torus
|
15 pages, 5 eps figures, clarifying comments added
|
Nucl.Phys. B602 (2001) 486-498
|
10.1016/S0550-3213(01)00100-6
| null |
hep-th
| null |
We use wrapped D-brane probes to measure position dependent perturbations of
compactification moduli. Due to the backreaction of the D-branes on the local
geometry, we suspect that measuring the fluctuations of one modulus to high
precision will generically affect the others. These considerations lead us to
conjecture a novel uncertainty principle on the Calabi-Yau moduli space. We
begin our investigation with a gedanken experiment on a torus.
|
[
{
"created": "Thu, 12 Oct 2000 04:54:01 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Apr 2001 22:09:38 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Evslin",
"Jarah",
""
],
[
"Varadarajan",
"Uday",
""
],
[
"Wang",
"John E.",
""
]
] |
We use wrapped D-brane probes to measure position dependent perturbations of compactification moduli. Due to the backreaction of the D-branes on the local geometry, we suspect that measuring the fluctuations of one modulus to high precision will generically affect the others. These considerations lead us to conjecture a novel uncertainty principle on the Calabi-Yau moduli space. We begin our investigation with a gedanken experiment on a torus.
| 13.000312
| 11.019912
| 13.415788
| 11.020981
| 12.144307
| 11.471981
| 10.536968
| 10.668862
| 11.808331
| 13.360101
| 10.530364
| 11.780285
| 12.974195
| 11.55421
| 11.877383
| 11.020516
| 11.292193
| 11.266728
| 11.285238
| 12.70951
| 11.020933
|
2306.03892
|
Maxim Chernodub
|
M. N. Chernodub
|
Conformal anomaly and gravitational pair production
|
7 pages; comments welcome
| null | null | null |
hep-th astro-ph.HE cond-mat.other gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We argue that the rate density of particle pair production $\Gamma$ in
background fields in conformal field theories is determined by the conformal
anomaly and related to anomalous trace of the energy-momentum tensor as $\Gamma
= (\pi/2) \langle T^\mu_{\ \mu}\rangle$ if the trace is positive (and $\Gamma =
0$ otherwise). This formula perfectly reproduces (presumably, non-Hawking)
radiation generated by static gravitational fields in the absence of an event
horizon via a new evaporation mechanism suggested recently. Our relation also
correctly describes the one-loop Schwinger pair creation in massless (scalar
and spinor) quantum electrodynamics. It also accurately points to the Savvidi
instability of the gluonic vacuum towards the formation of the chromomagnetic
condensate. Photon and neutrino pair production are also discussed.
|
[
{
"created": "Tue, 6 Jun 2023 17:53:31 GMT",
"version": "v1"
}
] |
2023-06-14
|
[
[
"Chernodub",
"M. N.",
""
]
] |
We argue that the rate density of particle pair production $\Gamma$ in background fields in conformal field theories is determined by the conformal anomaly and related to anomalous trace of the energy-momentum tensor as $\Gamma = (\pi/2) \langle T^\mu_{\ \mu}\rangle$ if the trace is positive (and $\Gamma = 0$ otherwise). This formula perfectly reproduces (presumably, non-Hawking) radiation generated by static gravitational fields in the absence of an event horizon via a new evaporation mechanism suggested recently. Our relation also correctly describes the one-loop Schwinger pair creation in massless (scalar and spinor) quantum electrodynamics. It also accurately points to the Savvidi instability of the gluonic vacuum towards the formation of the chromomagnetic condensate. Photon and neutrino pair production are also discussed.
| 13.524059
| 13.912848
| 13.528187
| 12.151814
| 13.845685
| 12.422737
| 14.363452
| 12.622615
| 12.810478
| 13.926077
| 13.439369
| 12.85875
| 12.289845
| 12.311444
| 12.804148
| 12.475851
| 13.134597
| 12.445237
| 12.160738
| 12.74739
| 12.929561
|
1902.08669
|
Paul Mikula
|
Paul Mikula, Margaret E. Carrington, Gabor Kunstatter
|
A Non-Equilibrium Approach To Holographic Superconductors Using Gradient
Flow
|
34 pages, 19 figures
|
Phys. Rev. D 100, 046004 (2019)
|
10.1103/PhysRevD.100.046004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a charged scalar field in a bulk 3+1 dimensional anti-deSitter
spacetime with a planar black hole background metric. Through the AdS/CFT
correspondence this is equivalent to a strongly coupled field theory in 2+1
dimensions describing a superconductor. We use the gradient flow method and
solve the flow equations numerically between two fixed points: a vacuum
solution and a hairy black hole solution. We study the corresponding flow on
the boundary between a normal metal phase and a superconducting phase. We show
how the gradient flow moves fields between two fixed points in a way that
minimizes the free energy of the system. At the fixed points of the flow the
AdS/CFT correspondence provides an equivalence between the Euclidean on-shell
action in the bulk and the free energy of the boundary, but it does not tell us
about fields away from equilibrium. However, we can formally link static
off-shell configurations in the bulk and in the boundary at the same point
along the flow. For quasi-static evolution at least, it may be reasonable to
think of this link as an extension of the AdS/CFT correspondance.
|
[
{
"created": "Fri, 22 Feb 2019 21:08:53 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2019 12:10:16 GMT",
"version": "v2"
}
] |
2019-08-14
|
[
[
"Mikula",
"Paul",
""
],
[
"Carrington",
"Margaret E.",
""
],
[
"Kunstatter",
"Gabor",
""
]
] |
We study a charged scalar field in a bulk 3+1 dimensional anti-deSitter spacetime with a planar black hole background metric. Through the AdS/CFT correspondence this is equivalent to a strongly coupled field theory in 2+1 dimensions describing a superconductor. We use the gradient flow method and solve the flow equations numerically between two fixed points: a vacuum solution and a hairy black hole solution. We study the corresponding flow on the boundary between a normal metal phase and a superconducting phase. We show how the gradient flow moves fields between two fixed points in a way that minimizes the free energy of the system. At the fixed points of the flow the AdS/CFT correspondence provides an equivalence between the Euclidean on-shell action in the bulk and the free energy of the boundary, but it does not tell us about fields away from equilibrium. However, we can formally link static off-shell configurations in the bulk and in the boundary at the same point along the flow. For quasi-static evolution at least, it may be reasonable to think of this link as an extension of the AdS/CFT correspondance.
| 7.369905
| 7.804776
| 7.866937
| 7.161687
| 7.76159
| 7.557524
| 7.819891
| 7.994825
| 7.707186
| 8.641916
| 7.313278
| 7.563814
| 7.449343
| 7.254478
| 7.327597
| 7.306359
| 7.310479
| 7.485864
| 7.212851
| 7.542946
| 7.20954
|
0710.0648
|
Daniel Jafferis
|
Daniel L. Jafferis, Natalia Saulina
|
Fragmenting D4 branes and coupled q-deformed Yang Mills
|
16 pages
| null | null | null |
hep-th
| null |
We compute the index of BPS states for two stacks of D4-branes wrapped on
ample divisors and overlapping over a compact Riemann surface inside
non-compact Calabi-Yau 3-fold. This index is given in terms of U(N) x U(M)
q-deformed Yang Mills theory with bifundamental matter. From the factorization
in the limit of large D4 charge, we argue that our result computes the jump in
the index of BPS states across the wall of the marginal stability for the split
flow of a D4 brane fragmenting into a pair of D4 branes.
|
[
{
"created": "Wed, 3 Oct 2007 15:42:32 GMT",
"version": "v1"
}
] |
2007-10-04
|
[
[
"Jafferis",
"Daniel L.",
""
],
[
"Saulina",
"Natalia",
""
]
] |
We compute the index of BPS states for two stacks of D4-branes wrapped on ample divisors and overlapping over a compact Riemann surface inside non-compact Calabi-Yau 3-fold. This index is given in terms of U(N) x U(M) q-deformed Yang Mills theory with bifundamental matter. From the factorization in the limit of large D4 charge, we argue that our result computes the jump in the index of BPS states across the wall of the marginal stability for the split flow of a D4 brane fragmenting into a pair of D4 branes.
| 10.437677
| 9.14494
| 10.516073
| 9.178488
| 9.058432
| 9.748697
| 9.699467
| 8.468178
| 8.528588
| 14.239414
| 8.783179
| 9.281986
| 10.26432
| 9.108135
| 9.858851
| 9.662661
| 8.941681
| 9.084797
| 9.11964
| 9.897179
| 9.194621
|
1411.6026
|
Matthew Buican
|
Matthew Buican, Simone Giacomelli, Takahiro Nishinaka, and
Constantinos Papageorgakis
|
Argyres-Douglas Theories and S-Duality
|
49 pages, 4 figures; v2: typos corrected, reference added, brief
additional comments in section 4; results unchanged
| null |
10.1007/JHEP02(2015)185
|
RU-NHETC-2014-20; QMUL-PH-14-24
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize S-duality to N=2 superconformal field theories (SCFTs) with
Coulomb branch operators of non-integer scaling dimension. As simple examples,
we find minimal generalizations of the S-dualities discovered in SU(2) gauge
theory with four fundamental flavors by Seiberg and Witten and in SU(3) gauge
theory with six fundamental flavors by Argyres and Seiberg. Our constructions
start by weakly gauging diagonal SU(2) and SU(3) flavor symmetry subgroups of
two copies of a particular rank-one Argyres-Douglas theory (along with
sufficient numbers of hypermultiplets to guarantee conformality of the
gauging). As we explore the resulting conformal manifold of the SU(2) SCFT, we
find an action of S-duality on the parameters of the theory that is reminiscent
of Spin(8) triality. On the other hand, as we explore the conformal manifold of
the SU(3) theory, we find that an exotic rank-two SCFT emerges in a dual SU(2)
description.
|
[
{
"created": "Fri, 21 Nov 2014 21:23:08 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jan 2015 03:09:31 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Buican",
"Matthew",
""
],
[
"Giacomelli",
"Simone",
""
],
[
"Nishinaka",
"Takahiro",
""
],
[
"Papageorgakis",
"Constantinos",
""
]
] |
We generalize S-duality to N=2 superconformal field theories (SCFTs) with Coulomb branch operators of non-integer scaling dimension. As simple examples, we find minimal generalizations of the S-dualities discovered in SU(2) gauge theory with four fundamental flavors by Seiberg and Witten and in SU(3) gauge theory with six fundamental flavors by Argyres and Seiberg. Our constructions start by weakly gauging diagonal SU(2) and SU(3) flavor symmetry subgroups of two copies of a particular rank-one Argyres-Douglas theory (along with sufficient numbers of hypermultiplets to guarantee conformality of the gauging). As we explore the resulting conformal manifold of the SU(2) SCFT, we find an action of S-duality on the parameters of the theory that is reminiscent of Spin(8) triality. On the other hand, as we explore the conformal manifold of the SU(3) theory, we find that an exotic rank-two SCFT emerges in a dual SU(2) description.
| 6.14954
| 5.733001
| 7.085026
| 5.625918
| 5.948311
| 6.273147
| 5.80706
| 5.972602
| 5.683192
| 7.650925
| 5.455611
| 5.869928
| 6.321765
| 5.825425
| 5.811392
| 5.901424
| 6.039524
| 5.749058
| 5.927444
| 6.090046
| 5.691911
|
2110.03470
|
Bahtiyar \"Ozg\"ur Sar{\i}o\u{g}lu
|
Ulf Lindstr\"om and \"Ozg\"ur Sar{\i}o\u{g}lu
|
Killing-Yano Cotton Currents
|
20 pages; ver. 2: to appear in JHEP
|
JHEP 03 (2022) 029
|
10.1007/JHEP03(2022)029
|
Uppsala University Theoretical Physics report UUITP-48/21
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We discuss conserved currents constructed from the Cotton tensor and
(conformal) Killing-Yano tensors (KYTs). We consider the corresponding charges
generally and then exemplify with the four-dimensional Pleba\'nski-Demia\'nski
metric where they are proportional to the sum of the squares of the electric
and the magnetic charges. As part of the derivation, we also find the two
conformal Killing-Yano tensors of the Pleba\'nski-Demia\'nski metric in the
recently introduced coordinates of Podolsky and Vratny. The construction of
asymptotic charges for the Cotton current is elucidated and compared to the
three-dimensional construction in Topologically Massive Gravity. For the
three-dimensional case, we also give a conformal superspace multiplet that
contains the Cotton current in the bosonic sector. In a mathematical section,
we derive potentials for the currents, find identities for conformal KYTs and
for KYTs in torsionful backgrounds.
|
[
{
"created": "Thu, 7 Oct 2021 13:50:16 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2022 13:36:19 GMT",
"version": "v2"
}
] |
2022-03-09
|
[
[
"Lindström",
"Ulf",
""
],
[
"Sarıoğlu",
"Özgür",
""
]
] |
We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano tensors (KYTs). We consider the corresponding charges generally and then exemplify with the four-dimensional Pleba\'nski-Demia\'nski metric where they are proportional to the sum of the squares of the electric and the magnetic charges. As part of the derivation, we also find the two conformal Killing-Yano tensors of the Pleba\'nski-Demia\'nski metric in the recently introduced coordinates of Podolsky and Vratny. The construction of asymptotic charges for the Cotton current is elucidated and compared to the three-dimensional construction in Topologically Massive Gravity. For the three-dimensional case, we also give a conformal superspace multiplet that contains the Cotton current in the bosonic sector. In a mathematical section, we derive potentials for the currents, find identities for conformal KYTs and for KYTs in torsionful backgrounds.
| 10.347681
| 10.433679
| 10.54483
| 9.590266
| 11.276922
| 10.458736
| 11.003599
| 10.086121
| 10.771241
| 11.416077
| 9.94309
| 9.932957
| 10.123548
| 9.659021
| 10.000315
| 9.850651
| 10.086571
| 10.126683
| 10.348702
| 10.205578
| 9.897608
|
2208.06388
|
Chandrasekhar Bhamidipati
|
Pavan Kumar Yerra, Chandrasekhar Bhamidipati and Sudipta Mukherji
|
Topology of critical points and Hawking-Page transition
|
14 pages, 6 figures
| null |
10.1103/PhysRevD.106.064059
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Using the Bragg-Williams construction of an off-shell free energy we compute
the topological charge of the Hawking-Page transition point for black holes in
AdS. A computation following from a related off-shell effective potential in
the boundary gauge dual matches the value of topological charge obtained in the
bulk. We also compute the topological charges of the equilibrium phases of
these systems, which follow from the saddle points of the appropriate free
energy. The locally stable and unstable phases turn out to have topological
charges opposite to each other, with the total being zero, in agreement with
the result obtained from a related construction [arXiv:2208.01932].
|
[
{
"created": "Fri, 12 Aug 2022 17:25:05 GMT",
"version": "v1"
}
] |
2022-10-12
|
[
[
"Yerra",
"Pavan Kumar",
""
],
[
"Bhamidipati",
"Chandrasekhar",
""
],
[
"Mukherji",
"Sudipta",
""
]
] |
Using the Bragg-Williams construction of an off-shell free energy we compute the topological charge of the Hawking-Page transition point for black holes in AdS. A computation following from a related off-shell effective potential in the boundary gauge dual matches the value of topological charge obtained in the bulk. We also compute the topological charges of the equilibrium phases of these systems, which follow from the saddle points of the appropriate free energy. The locally stable and unstable phases turn out to have topological charges opposite to each other, with the total being zero, in agreement with the result obtained from a related construction [arXiv:2208.01932].
| 14.495944
| 11.130939
| 12.780989
| 10.976205
| 11.665188
| 11.96542
| 11.612046
| 11.948031
| 11.531841
| 15.89227
| 11.70138
| 12.290215
| 12.935715
| 12.652435
| 12.555005
| 12.488458
| 12.76529
| 12.474416
| 13.027793
| 14.134116
| 12.411558
|
hep-th/9707019
|
Duiliu Diaconescu
|
Duiliu-Emanuel Diaconescu, Jaume Gomis (Rutgers University)
|
Duality in Matrix Theory and Three Dimensional Mirror Symmetry
|
Some changes in the discussion of non-critical strings; few
references added; 18 pages, 5 figures
|
Nucl.Phys.B517:53-68,1998
|
10.1016/S0550-3213(98)00079-0
|
RU-97-53
|
hep-th
| null |
Certain limits of the duality between M-theory on ${T^5/Z_2}$ and IIB on K3
are analyzed in Matrix theory. The correspondence between M-theory five-branes
and ALE backgrounds is realized as three dimensional mirror symmetry.
Non-critical strings dual to open membranes are explicitly described as gauge
theory excitations. We also comment on Type IIA on K3 and the appearance of
gauge symmetry enhancement at special points in the moduli space.
|
[
{
"created": "Tue, 1 Jul 1997 20:36:27 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jul 1997 14:37:33 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Diaconescu",
"Duiliu-Emanuel",
"",
"Rutgers University"
],
[
"Gomis",
"Jaume",
"",
"Rutgers University"
]
] |
Certain limits of the duality between M-theory on ${T^5/Z_2}$ and IIB on K3 are analyzed in Matrix theory. The correspondence between M-theory five-branes and ALE backgrounds is realized as three dimensional mirror symmetry. Non-critical strings dual to open membranes are explicitly described as gauge theory excitations. We also comment on Type IIA on K3 and the appearance of gauge symmetry enhancement at special points in the moduli space.
| 12.738369
| 9.776088
| 14.578608
| 11.376821
| 11.395535
| 10.806334
| 10.452132
| 9.782231
| 10.594014
| 15.12501
| 10.61589
| 11.611202
| 13.053001
| 11.380469
| 10.744823
| 11.328775
| 11.068593
| 11.000376
| 11.350066
| 12.635333
| 10.50091
|
2405.14564
|
Tadashi Okazaki
|
Yasuyuki Hatsuda, Hai Lin, Tadashi Okazaki
|
Giant graviton expansions and ETW brane
|
39 pages, 2 figures
| null | null |
RUP-24-9
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the giant gravitons in the $AdS_4$ bagpipe geometries involving
end-of-the-world (ETW) brane constructed by a single $5$-brane and either two
stacks or one stack of D3-branes in Type IIB string theory. From the exact
formulae and giant graviton expansions of the half-indices for the half-BPS
boundary conditions and interfaces in $\mathcal{N}=4$ super Yang-Mills theory,
we obtain the BPS spectra of the fluctuation modes of the $AdS_4$ bagpipe
geometries including the ETW brane region.
|
[
{
"created": "Thu, 23 May 2024 13:42:13 GMT",
"version": "v1"
}
] |
2024-05-24
|
[
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Lin",
"Hai",
""
],
[
"Okazaki",
"Tadashi",
""
]
] |
We study the giant gravitons in the $AdS_4$ bagpipe geometries involving end-of-the-world (ETW) brane constructed by a single $5$-brane and either two stacks or one stack of D3-branes in Type IIB string theory. From the exact formulae and giant graviton expansions of the half-indices for the half-BPS boundary conditions and interfaces in $\mathcal{N}=4$ super Yang-Mills theory, we obtain the BPS spectra of the fluctuation modes of the $AdS_4$ bagpipe geometries including the ETW brane region.
| 10.298566
| 8.603778
| 12.929203
| 8.53421
| 9.389109
| 8.986587
| 9.823965
| 8.911201
| 8.877295
| 11.503404
| 8.607436
| 9.852171
| 10.72006
| 9.798388
| 9.925261
| 9.964367
| 9.419569
| 9.712433
| 10.294518
| 11.078377
| 9.40003
|
hep-th/9909016
| null |
M. Shifman
|
Introduction to the Yuri Golfand Memorial Volume "Many Faces of
Superworld"
|
Latex, sprocl.sty, 10 pages, no figures
| null | null | null |
hep-th
| null |
The Yuri Golfand Memorial Volume commemorates Thirty Years of Supersymmetry.
It will be published soon by World Scientific. The participants of the project
are: D. Brace, L. Brink, S. Deser, G. Dvali, B. Feng, D. Freedman, G.-L.
Gervais, G. Gabadadze, M. Grisaru, A. Hanany, Y.-H. He, S. Hellerman, E.
D'Hoker, P. Fayet, V. Kac, I. Klebanov, N. Koretz-Golfand, D. Kutasov, E.
Likhtman, A. Losev, M. Marinov, S. Mathur, A. Matusis, B. Morariu, N. Nekrasov,
J. Polchinski, E. Rabinovici, L. Rastelli, P. Ramond, J. Schwarz, N. Seiberg,
A. Semikhatov, G. Senjanovic, S. Shatashvili, M. Shifman, A. Smilga, M.
Strassler, A. Tseytlin, M. Vasiliev, J. Wess, P. West, E. Witten, B. Zumino.
|
[
{
"created": "Fri, 3 Sep 1999 15:36:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Shifman",
"M.",
""
]
] |
The Yuri Golfand Memorial Volume commemorates Thirty Years of Supersymmetry. It will be published soon by World Scientific. The participants of the project are: D. Brace, L. Brink, S. Deser, G. Dvali, B. Feng, D. Freedman, G.-L. Gervais, G. Gabadadze, M. Grisaru, A. Hanany, Y.-H. He, S. Hellerman, E. D'Hoker, P. Fayet, V. Kac, I. Klebanov, N. Koretz-Golfand, D. Kutasov, E. Likhtman, A. Losev, M. Marinov, S. Mathur, A. Matusis, B. Morariu, N. Nekrasov, J. Polchinski, E. Rabinovici, L. Rastelli, P. Ramond, J. Schwarz, N. Seiberg, A. Semikhatov, G. Senjanovic, S. Shatashvili, M. Shifman, A. Smilga, M. Strassler, A. Tseytlin, M. Vasiliev, J. Wess, P. West, E. Witten, B. Zumino.
| 4.313795
| 4.692031
| 4.267929
| 4.098367
| 5.296305
| 5.1446
| 4.955337
| 4.633903
| 4.103806
| 4.218134
| 4.830212
| 4.065468
| 4.010179
| 3.893421
| 3.998515
| 4.017766
| 3.995039
| 3.921105
| 3.986513
| 4.133985
| 4.05975
|
2012.01895
|
Chandrima Paul
|
Chandrima Paul
|
Quantum entanglement measures from Hyperscaling violating geometries
with finite radial cut off at general d, $\theta$ from the emergent global
symmetry
|
114 pages, 73 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by-sa/4.0/
|
The quantum entanglement measures for $T{\overline{T}}$ deformed field theory
on boundary, deformation coefficient $\mu$, with dual bulk geometry with finite
radial cutoff $\rho_c$, for entangling region is single or disjoint intervals
on the boundary, of length l is expected to give global description of these
measures over the complete parameter-regime of $(l, \mu)$ or on 2D $(l,\rho_c)$
plane, because it is solvable irrelevant deformation. Here, to find
quantum-measures through RT prescription, from Hyperscaling violating bulk
geometry with finite radial cut off, we found mathematically it is impossible,
to obtain such global form, since the turning point $\rho_0 (l,\rho_c)$,
neither in its exact or in any perturbative form, is solvable globally, can
describe these quantum measures at most locally over some specific regime in 2D
$(l,\rho_c)$ plane! However, to find such global form, we found, on application
of RT formalism, a global symmetry structure, from the considered geometry
emerges, over 2D parameter-space, irrespective of d, $\theta$, which alongwith
global b.c and other consistency conditions, fix $\rho_0(l,\rho_c)$ globally,
exactly in $l >> \rho_c $ and $\rho_c >> l$ regime and as some interpolating
expressions, very close to the exact one in other regime. Some of the quantum
entanglement measures with this $\rho_0 (l,\rho_c)$, with our intuitively
predicted behaviour for them in the deformed theory, derived and shown,
behaving accordingly. The impact of this emergent symmetry on these
quantum-measures is discussed, the possible space time origin of this symmetry
is explored, although the later aspect is subjected to a proper and detailed
study.
|
[
{
"created": "Thu, 3 Dec 2020 13:21:02 GMT",
"version": "v1"
}
] |
2020-12-04
|
[
[
"Paul",
"Chandrima",
""
]
] |
The quantum entanglement measures for $T{\overline{T}}$ deformed field theory on boundary, deformation coefficient $\mu$, with dual bulk geometry with finite radial cutoff $\rho_c$, for entangling region is single or disjoint intervals on the boundary, of length l is expected to give global description of these measures over the complete parameter-regime of $(l, \mu)$ or on 2D $(l,\rho_c)$ plane, because it is solvable irrelevant deformation. Here, to find quantum-measures through RT prescription, from Hyperscaling violating bulk geometry with finite radial cut off, we found mathematically it is impossible, to obtain such global form, since the turning point $\rho_0 (l,\rho_c)$, neither in its exact or in any perturbative form, is solvable globally, can describe these quantum measures at most locally over some specific regime in 2D $(l,\rho_c)$ plane! However, to find such global form, we found, on application of RT formalism, a global symmetry structure, from the considered geometry emerges, over 2D parameter-space, irrespective of d, $\theta$, which alongwith global b.c and other consistency conditions, fix $\rho_0(l,\rho_c)$ globally, exactly in $l >> \rho_c $ and $\rho_c >> l$ regime and as some interpolating expressions, very close to the exact one in other regime. Some of the quantum entanglement measures with this $\rho_0 (l,\rho_c)$, with our intuitively predicted behaviour for them in the deformed theory, derived and shown, behaving accordingly. The impact of this emergent symmetry on these quantum-measures is discussed, the possible space time origin of this symmetry is explored, although the later aspect is subjected to a proper and detailed study.
| 20.165972
| 19.639145
| 21.69558
| 19.07917
| 20.263138
| 21.546192
| 20.388159
| 19.735184
| 20.300871
| 23.883839
| 18.524115
| 18.572382
| 19.57567
| 18.495958
| 18.673006
| 18.751795
| 18.646975
| 19.095371
| 18.426687
| 19.850271
| 18.554502
|
hep-th/9407068
|
Ralf Huebel
|
R. Blumenhagen, R. Huebel
|
A Note on Representations of N=2 SW-Algebras
|
11 pages + 7 figures (postscript); plain TeX, psfig.tex;
BONN-TH-94-08
|
Mod.Phys.Lett. A9 (1994) 3193-3204
|
10.1142/S0217732394003014
| null |
hep-th
| null |
We investigate the representation theory of some recently constructed N=2
super W-algebras with two generators. Except for the central charges in the
unitary minimal series of the N=2 super Virasoro algebra we find no new
rational models. However, from our results it is possible to arrange all known
N=2 super W-algebras with two generators and vanishing self-coupling constant
into four classes. For the algebras existing for c >= 3 which can be understood
by the spectral flow of the N=2 super Virasoro algebra we find that the
representations have quantized U(1) charge.
|
[
{
"created": "Wed, 13 Jul 1994 14:59:51 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Blumenhagen",
"R.",
""
],
[
"Huebel",
"R.",
""
]
] |
We investigate the representation theory of some recently constructed N=2 super W-algebras with two generators. Except for the central charges in the unitary minimal series of the N=2 super Virasoro algebra we find no new rational models. However, from our results it is possible to arrange all known N=2 super W-algebras with two generators and vanishing self-coupling constant into four classes. For the algebras existing for c >= 3 which can be understood by the spectral flow of the N=2 super Virasoro algebra we find that the representations have quantized U(1) charge.
| 10.300127
| 9.306668
| 11.138941
| 8.5169
| 9.655018
| 9.87712
| 9.063015
| 9.475531
| 8.918263
| 11.456713
| 9.323228
| 9.146491
| 9.454744
| 9.426416
| 9.623331
| 9.902753
| 9.221697
| 9.473502
| 9.357542
| 9.706746
| 9.018498
|
1008.0829
|
Jimmy Hutasoit
|
Jimmy A. Hutasoit
|
Time-dependent Backgrounds in String Theory and Dualities
|
Ph.D. thesis
|
ProQuest/UMI 2010 (Publication No. AAT 3428733)
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis consists of two parts. The first part deals with gauge/gravity
duality in the context of anti de Sitter (AdS) spacetimes with de Sitter (dS)
boundary, which can be used to study issues concerning strongly coupled field
theory on de Sitter space, such as the issue of vacuum ambiguity. By
calculating the symmetric two point function of the strongly coupled ${\cal N}
= 4$ supersymmetric Yang-Mills theory on de Sitter space, we show that the
vacuum ambiguity persists at strong coupling. Furthermore, the extra ambiguity
in the strong coupling correlator seems to suggest that transition between two
different vacua is allowed. The second part of this thesis deals with the
duality between the rolling tachyon backgrounds in superstring theory and the
Dyson gas systems. This duality can be interpreted as a reformulation of
non-BPS D-branes in superstring theory in terms of statistical systems in
thermal equilibrium, whose description does not include time. We argue that
even though the concept of time is absent in the statistical dual sitting at
equilibrium, the notion of time can emerge at the large number of particles $N
\rightarrow \infty$ limit.
|
[
{
"created": "Wed, 4 Aug 2010 17:27:01 GMT",
"version": "v1"
}
] |
2011-05-19
|
[
[
"Hutasoit",
"Jimmy A.",
""
]
] |
This thesis consists of two parts. The first part deals with gauge/gravity duality in the context of anti de Sitter (AdS) spacetimes with de Sitter (dS) boundary, which can be used to study issues concerning strongly coupled field theory on de Sitter space, such as the issue of vacuum ambiguity. By calculating the symmetric two point function of the strongly coupled ${\cal N} = 4$ supersymmetric Yang-Mills theory on de Sitter space, we show that the vacuum ambiguity persists at strong coupling. Furthermore, the extra ambiguity in the strong coupling correlator seems to suggest that transition between two different vacua is allowed. The second part of this thesis deals with the duality between the rolling tachyon backgrounds in superstring theory and the Dyson gas systems. This duality can be interpreted as a reformulation of non-BPS D-branes in superstring theory in terms of statistical systems in thermal equilibrium, whose description does not include time. We argue that even though the concept of time is absent in the statistical dual sitting at equilibrium, the notion of time can emerge at the large number of particles $N \rightarrow \infty$ limit.
| 7.319477
| 6.705805
| 8.280239
| 6.588589
| 7.109098
| 7.437847
| 6.534121
| 6.830393
| 7.429454
| 8.892399
| 6.956704
| 7.13532
| 7.368812
| 7.126573
| 7.167805
| 7.172441
| 7.125098
| 7.148062
| 7.202493
| 7.462008
| 7.168758
|
hep-th/0507149
|
Plamen Bozhilov
|
P. Bozhilov
|
Membrane solutions in M-theory
|
LaTeX, 10 pages, no figures; V2: No changes, published in JHEP
|
JHEP 0508 (2005) 087
|
10.1088/1126-6708/2005/08/087
| null |
hep-th
| null |
Motivated by the recent achievements in the framework of the semiclassical
limit of the M-theory/field theory correspondence, we propose an approach for
obtaining exact membrane solutions in general enough M-theory backgrounds,
having field theory dual description. As an application of the derived general
results, we obtain several types of membrane solutions in AdS_4xS^7 M-theory
background.
|
[
{
"created": "Fri, 15 Jul 2005 08:39:27 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2005 11:28:39 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Bozhilov",
"P.",
""
]
] |
Motivated by the recent achievements in the framework of the semiclassical limit of the M-theory/field theory correspondence, we propose an approach for obtaining exact membrane solutions in general enough M-theory backgrounds, having field theory dual description. As an application of the derived general results, we obtain several types of membrane solutions in AdS_4xS^7 M-theory background.
| 13.60647
| 11.528174
| 13.989282
| 11.839476
| 13.789784
| 12.498383
| 13.483766
| 11.310647
| 11.999815
| 14.716038
| 11.859582
| 11.925261
| 13.720689
| 11.920352
| 12.00751
| 11.992825
| 12.420796
| 11.897685
| 12.481627
| 13.104584
| 11.966972
|
1805.05949
|
Omar El Deeb
|
Omar El Deeb
|
Analytic structures of unitary RSOS models with integrable boundary
conditions
|
10 pages, 5 figures
|
International Journal of Applied Mathematics and Statistics, 57:4,
(2018), 107-116
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we consider the unitary critical restricted-solid-on-solid
(RSOS) lattice $\mathcal{M}(5,6)$ model with integrable boundary conditions. We
introduce its commuting double row transfer matrix satisfying the universal
functional relations, and we use it in order to study the analytic structure of
the transfer matrix eigenvalues and plot representative zero configurations of
sample eigenvalues of the transfer matrix. We finally conclude with a
comparative analysis with the critical and tricritical Ising models with
integrable boundary conditions.
|
[
{
"created": "Tue, 15 May 2018 17:35:14 GMT",
"version": "v1"
}
] |
2018-05-17
|
[
[
"Deeb",
"Omar El",
""
]
] |
In this paper, we consider the unitary critical restricted-solid-on-solid (RSOS) lattice $\mathcal{M}(5,6)$ model with integrable boundary conditions. We introduce its commuting double row transfer matrix satisfying the universal functional relations, and we use it in order to study the analytic structure of the transfer matrix eigenvalues and plot representative zero configurations of sample eigenvalues of the transfer matrix. We finally conclude with a comparative analysis with the critical and tricritical Ising models with integrable boundary conditions.
| 14.170011
| 12.551811
| 17.677094
| 11.792475
| 11.704525
| 12.629542
| 11.914735
| 11.189884
| 11.357867
| 17.849648
| 11.747123
| 11.88586
| 14.335877
| 12.777007
| 12.529393
| 12.614146
| 12.840672
| 12.717115
| 12.323949
| 14.372945
| 12.004534
|
0708.1346
|
Matthew Roberts
|
Gary T. Horowitz and Matthew M. Roberts
|
Counting the Microstates of a Kerr Black Hole
|
10 pages, 2 figures
|
Phys.Rev.Lett.99:221601,2007
|
10.1103/PhysRevLett.99.221601
| null |
hep-th gr-qc
| null |
We show that an extremal Kerr black hole, appropriately lifted to M-theory,
can be transformed to a Kaluza-Klein black hole in M-theory, or a D0-D6 charged
black hole in string theory. Since all the microstates of the latter have
recently been identified, one can exactly reproduce the entropy of an extremal
Kerr black hole. We also show that the topology of the event horizon is not
well defined in M-theory.
|
[
{
"created": "Thu, 9 Aug 2007 22:16:47 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Horowitz",
"Gary T.",
""
],
[
"Roberts",
"Matthew M.",
""
]
] |
We show that an extremal Kerr black hole, appropriately lifted to M-theory, can be transformed to a Kaluza-Klein black hole in M-theory, or a D0-D6 charged black hole in string theory. Since all the microstates of the latter have recently been identified, one can exactly reproduce the entropy of an extremal Kerr black hole. We also show that the topology of the event horizon is not well defined in M-theory.
| 7.78475
| 6.638979
| 7.344031
| 6.387047
| 6.798757
| 6.778465
| 6.548379
| 6.501285
| 6.950985
| 8.142023
| 6.440254
| 6.376896
| 7.061358
| 6.478508
| 6.823121
| 6.431484
| 6.454768
| 6.539665
| 6.485141
| 7.372954
| 6.310596
|
0805.3078
|
Alexander Klitz
|
R. Flume, J. Grossehelweg, A. Klitz
|
A Lagrangean formalism for Hermitean matrix models
|
25 pages, 7 figures
|
Nucl.Phys.B812:322-342,2009
|
10.1016/j.nuclphysb.2008.10.008
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Eynard's formulation of Hermitean 1-matrix models in terms of intrinsic
quantities of an associated hyperelliptic Riemann surface is rephrased as a
Lagrangean field theory of a scalar particle propagating on the hyperelliptic
surface with multiple self-interactions and particle-source interactions. Both
types of interaction take place at the branch points of the hyperelliptic
surface.
|
[
{
"created": "Tue, 20 May 2008 14:43:08 GMT",
"version": "v1"
}
] |
2009-02-16
|
[
[
"Flume",
"R.",
""
],
[
"Grossehelweg",
"J.",
""
],
[
"Klitz",
"A.",
""
]
] |
Eynard's formulation of Hermitean 1-matrix models in terms of intrinsic quantities of an associated hyperelliptic Riemann surface is rephrased as a Lagrangean field theory of a scalar particle propagating on the hyperelliptic surface with multiple self-interactions and particle-source interactions. Both types of interaction take place at the branch points of the hyperelliptic surface.
| 9.556802
| 9.165505
| 10.601761
| 8.045307
| 9.202578
| 8.993791
| 9.588437
| 7.943298
| 8.883884
| 10.801497
| 8.449994
| 8.71074
| 8.463224
| 8.127587
| 8.323141
| 8.197169
| 8.118716
| 8.687606
| 8.14247
| 8.381977
| 8.036963
|
1212.4033
|
Patrick K. S. Vaudrevange
|
Stefan Groot Nibbelink, Patrick K. S. Vaudrevange
|
Schoen manifold with line bundles as resolved magnetized orbifolds
|
1+27 pages, 2 figures; v2: matches published version
| null | null |
DESY-12-242; LMU-ASC 86/12
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give an alternative description of the Schoen manifold as the blow-up of a
Z2xZ2 orbifold in which one Z2 factor acts as a roto-translation. Since for
this orbifold the fixed tori are only identified in pairs but not orbifolded,
four-dimensional chirality can never be obtained in heterotic string
compactifications using standard techniques alone. However, chirality is
recovered when its tori become magnetized. To exemplify this, we construct an
E8xE8' heterotic SU(5) GUT on the Schoen manifold with Abelian gauge fluxes,
which becomes an MSSM with three generations after an appropriate Wilson line
is associated to its freely acting involution. We reproduce this model as a
standard heterotic orbifold CFT of the (partially) blown down Schoen manifold
with a magnetic flux. Finally, in analogy to a proposal for non--perturbative
heterotic models by Aldazabal et al. we suggest modifications to the heterotic
orbifold spectrum formulae in the presence of magnetized tori.
|
[
{
"created": "Mon, 17 Dec 2012 15:46:29 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2013 11:14:15 GMT",
"version": "v2"
}
] |
2013-03-26
|
[
[
"Nibbelink",
"Stefan Groot",
""
],
[
"Vaudrevange",
"Patrick K. S.",
""
]
] |
We give an alternative description of the Schoen manifold as the blow-up of a Z2xZ2 orbifold in which one Z2 factor acts as a roto-translation. Since for this orbifold the fixed tori are only identified in pairs but not orbifolded, four-dimensional chirality can never be obtained in heterotic string compactifications using standard techniques alone. However, chirality is recovered when its tori become magnetized. To exemplify this, we construct an E8xE8' heterotic SU(5) GUT on the Schoen manifold with Abelian gauge fluxes, which becomes an MSSM with three generations after an appropriate Wilson line is associated to its freely acting involution. We reproduce this model as a standard heterotic orbifold CFT of the (partially) blown down Schoen manifold with a magnetic flux. Finally, in analogy to a proposal for non--perturbative heterotic models by Aldazabal et al. we suggest modifications to the heterotic orbifold spectrum formulae in the presence of magnetized tori.
| 11.59275
| 11.16828
| 13.620861
| 10.963479
| 10.999615
| 12.381763
| 11.917975
| 11.369298
| 10.855995
| 14.415977
| 10.994484
| 10.243416
| 12.062982
| 10.765817
| 10.540449
| 10.72308
| 10.359557
| 10.681692
| 10.648222
| 11.298804
| 10.846528
|
hep-th/9707110
|
Bandos
|
Igor Bandos and Wolfgang Kummer
|
A Polynomial First Order Action for the Dirichlet 3-brane
|
Eq. (53) corrected, acknowledgement added, 13 pages, LATEX, no
figures
|
Phys.Lett. B413 (1997) 311-321; Erratum-ibid. B420 (1998) 405
|
10.1016/S0370-2693(97)01128-3
|
TUW/97-11, published in Phys.Lett.B
|
hep-th
| null |
A new first order action for type IIB Dirichlet 3-brane is proposed. Its form
is inspired by the superfield equations of motion obtained recently from the
generalized action principle. The action involves auxiliary symmetric spin
tensor fields. It seems promising for a reformulation of the generalized action
in a structure most adequate for investigating the extrinsic geometry of the
super-3- brane, but also for further studies of string dualities.
|
[
{
"created": "Fri, 11 Jul 1997 11:13:13 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Dec 1997 09:51:55 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Bandos",
"Igor",
""
],
[
"Kummer",
"Wolfgang",
""
]
] |
A new first order action for type IIB Dirichlet 3-brane is proposed. Its form is inspired by the superfield equations of motion obtained recently from the generalized action principle. The action involves auxiliary symmetric spin tensor fields. It seems promising for a reformulation of the generalized action in a structure most adequate for investigating the extrinsic geometry of the super-3- brane, but also for further studies of string dualities.
| 20.705471
| 15.31136
| 17.632542
| 15.845991
| 15.866277
| 17.01119
| 15.97517
| 15.611469
| 15.840477
| 21.883558
| 15.698952
| 15.814896
| 17.031416
| 15.166445
| 15.060861
| 15.209587
| 15.403675
| 15.10632
| 15.736171
| 16.778852
| 15.184919
|
hep-th/9508007
|
Matteo Beccaria
|
Matteo Beccaria
|
Monte Carlo study of exact S-matrix duality in non simply laced affine
Toda theories
|
15 pages, 2 Postscript figures. Packed by uufiles. Two references
added
|
Phys.Rev. D53 (1996) 3266-3271
|
10.1103/PhysRevD.53.3266
| null |
hep-th
| null |
The $(g_2^{(1)}, d_4^{(3)})$\ pair of non simply laced affine Toda theories
is studied from the point of view of non perturbative duality. The classical
spectrum of each member is composed of two massive scalar particles. The exact
S-matrix prediction for the dual behaviour of the coupling dependent mass ratio
is found to be in strong agreement with Monte Carlo data.
|
[
{
"created": "Wed, 2 Aug 1995 17:56:39 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 1995 10:26:03 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Beccaria",
"Matteo",
""
]
] |
The $(g_2^{(1)}, d_4^{(3)})$\ pair of non simply laced affine Toda theories is studied from the point of view of non perturbative duality. The classical spectrum of each member is composed of two massive scalar particles. The exact S-matrix prediction for the dual behaviour of the coupling dependent mass ratio is found to be in strong agreement with Monte Carlo data.
| 16.80797
| 13.25996
| 16.30858
| 14.068427
| 14.320884
| 12.371665
| 13.518991
| 13.090732
| 13.525597
| 20.09758
| 13.864903
| 15.18177
| 17.633371
| 15.895924
| 14.260658
| 15.034427
| 15.637564
| 14.50817
| 14.515989
| 18.529932
| 14.143444
|
1010.6256
|
Tristan McLoughlin
|
Song He and Tristan McLoughlin
|
On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM
|
34 pages, 17 figures; v2: Minor improvements to exposition and
discussion, updated references, typos fixed
|
JHEP 1102:116,2011
|
10.1007/JHEP02(2011)116
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the relationship between the momentum twistor MHV vertex expansion
of planar amplitudes in N=4 super-Yang-Mills and the all-loop generalization of
the BCFW recursion relations. We demonstrate explicitly in several examples
that the MHV vertex expressions for tree-level amplitudes and loop integrands
satisfy the recursion relations. Furthermore, we introduce a rewriting of the
MHV expansion in terms of sums over non-crossing partitions and show that this
cyclically invariant formula satisfies the recursion relations for all numbers
of legs and all loop orders.
|
[
{
"created": "Fri, 29 Oct 2010 16:02:00 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Dec 2010 13:19:12 GMT",
"version": "v2"
}
] |
2015-03-17
|
[
[
"He",
"Song",
""
],
[
"McLoughlin",
"Tristan",
""
]
] |
We study the relationship between the momentum twistor MHV vertex expansion of planar amplitudes in N=4 super-Yang-Mills and the all-loop generalization of the BCFW recursion relations. We demonstrate explicitly in several examples that the MHV vertex expressions for tree-level amplitudes and loop integrands satisfy the recursion relations. Furthermore, we introduce a rewriting of the MHV expansion in terms of sums over non-crossing partitions and show that this cyclically invariant formula satisfies the recursion relations for all numbers of legs and all loop orders.
| 7.412287
| 7.346035
| 8.853945
| 7.545419
| 6.859587
| 7.180597
| 6.826703
| 6.96512
| 6.895013
| 8.585574
| 6.824845
| 6.993565
| 6.937074
| 6.858088
| 7.068934
| 7.000861
| 6.917325
| 7.086742
| 6.949688
| 7.214477
| 6.695566
|
1907.03485
|
Congkao Wen
|
John H. Schwarz, Congkao Wen
|
Unified Formalism for 6D Superamplitudes Based on a Symplectic
Grassmannian
|
32 pages
| null |
10.1007/JHEP08(2019)125
|
CALT-TH-2019-021, QMUL-PH-19-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, twistor-like formulations of tree amplitudes involving $n$ massless
particles have been proposed for various 6D supersymmetric theories. The
formulas are based on two different forms of the scattering equations: one
based on rational maps and the other based on polarized scattering equations.
We show that both formulations can be interpreted in terms of a symplectic (or
complex Lagrangian) Grassmannian, $\mathbb{LG}(n, 2n)$, and that they
correspond to different ways of fixing the ${\rm GL}(n, \mathbb{C})$ symmetry
of $\mathbb{LG}(n, 2n)$. This provides an understanding of the equivalence of
these different-looking formulas, and it leads to new twistor-like formulas for
6D superamplitudes.
|
[
{
"created": "Mon, 8 Jul 2019 10:01:05 GMT",
"version": "v1"
}
] |
2019-10-02
|
[
[
"Schwarz",
"John H.",
""
],
[
"Wen",
"Congkao",
""
]
] |
Recently, twistor-like formulations of tree amplitudes involving $n$ massless particles have been proposed for various 6D supersymmetric theories. The formulas are based on two different forms of the scattering equations: one based on rational maps and the other based on polarized scattering equations. We show that both formulations can be interpreted in terms of a symplectic (or complex Lagrangian) Grassmannian, $\mathbb{LG}(n, 2n)$, and that they correspond to different ways of fixing the ${\rm GL}(n, \mathbb{C})$ symmetry of $\mathbb{LG}(n, 2n)$. This provides an understanding of the equivalence of these different-looking formulas, and it leads to new twistor-like formulas for 6D superamplitudes.
| 5.784556
| 5.342422
| 5.841935
| 5.195792
| 5.420877
| 5.56192
| 5.331496
| 5.301252
| 5.137321
| 6.073897
| 5.09719
| 5.335637
| 5.539389
| 5.266733
| 5.355712
| 5.428723
| 5.474559
| 5.426679
| 5.279662
| 5.586232
| 5.239932
|
hep-th/0106249
|
Burkhard Eden
|
B. Eden and E. Sokatchev
|
On the OPE of 1/2 BPS Short Operators in N=4 SCFT$_4$
|
Minor changes made, a reference added
|
Nucl.Phys. B618 (2001) 259-276
|
10.1016/S0550-3213(01)00492-8
|
LAPTH-857/01
|
hep-th
| null |
The content of the OPE of two 1/2 BPS operators in N=4 SCFT$_4$ is given by
their superspace three-point functions with a third, a priori long operator.
For certain 1/2 BPS short superfields these three-point functions are uniquely
determined by superconformal invariance. We focus on the cases where the
leading ($\theta=0$) components lie in the tensor products
$[0,m,0]\otimes[0,n,0]$ and $[m,0,0]\otimes[0,0,n]$ of SU(4).
We show that the shortness conditions at the first two points imply selection
rules for the supermultiplet at the third point. Our main result is the
identification of all possible protected operators in such OPE's. Among them we
find not only BPS short multiplets, but also series of special long multiplets
which satisfy current-like conservation conditions in superspace.
|
[
{
"created": "Tue, 26 Jun 2001 22:58:08 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jun 2001 22:01:51 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Sep 2001 17:11:15 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Eden",
"B.",
""
],
[
"Sokatchev",
"E.",
""
]
] |
The content of the OPE of two 1/2 BPS operators in N=4 SCFT$_4$ is given by their superspace three-point functions with a third, a priori long operator. For certain 1/2 BPS short superfields these three-point functions are uniquely determined by superconformal invariance. We focus on the cases where the leading ($\theta=0$) components lie in the tensor products $[0,m,0]\otimes[0,n,0]$ and $[m,0,0]\otimes[0,0,n]$ of SU(4). We show that the shortness conditions at the first two points imply selection rules for the supermultiplet at the third point. Our main result is the identification of all possible protected operators in such OPE's. Among them we find not only BPS short multiplets, but also series of special long multiplets which satisfy current-like conservation conditions in superspace.
| 8.330816
| 7.993805
| 9.824984
| 7.49574
| 7.640531
| 8.363115
| 8.283167
| 7.857085
| 7.890583
| 11.102375
| 7.510206
| 7.634879
| 8.513794
| 7.581891
| 7.69791
| 7.771295
| 7.913176
| 7.713274
| 7.712256
| 8.440845
| 7.659768
|
2212.06731
|
Robert de Mello Koch
|
Warren Carlson, Robert de Mello Koch and Minkyoo Kim
|
Generating Functions for Giant Graviton Bound States
|
71+1 pages; Version 2 is JHEP version
| null |
10.1007/JHEP01(2023)104
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct generating functions for operators dual to systems of giant
gravitons with open strings attached. These operators have a bare dimension of
order $N$ so that the usual methods used to solve the planar limit are not
applicable. The generating functions are given as integrals over auxiliary
variables, which implement symmetrization and antisymmetrization of the indices
of the fields from which the operator is composed. Operators of a good scaling
dimension (eigenstates of the dilatation operator) are known as Gauss graph
operators. Our generating functions give a simple construction of the Gauss
graph operators which were previously obtained using a Fourier transform on a
double coset. The new description provides a natural starting point for a
systematic ${1\over N}$ expansion for these operators as well as the action of
the dilatation operator on them, in terms of a saddle point evaluation of their
integral representation.
|
[
{
"created": "Tue, 13 Dec 2022 17:04:35 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jan 2023 14:26:22 GMT",
"version": "v2"
}
] |
2023-02-08
|
[
[
"Carlson",
"Warren",
""
],
[
"Koch",
"Robert de Mello",
""
],
[
"Kim",
"Minkyoo",
""
]
] |
We construct generating functions for operators dual to systems of giant gravitons with open strings attached. These operators have a bare dimension of order $N$ so that the usual methods used to solve the planar limit are not applicable. The generating functions are given as integrals over auxiliary variables, which implement symmetrization and antisymmetrization of the indices of the fields from which the operator is composed. Operators of a good scaling dimension (eigenstates of the dilatation operator) are known as Gauss graph operators. Our generating functions give a simple construction of the Gauss graph operators which were previously obtained using a Fourier transform on a double coset. The new description provides a natural starting point for a systematic ${1\over N}$ expansion for these operators as well as the action of the dilatation operator on them, in terms of a saddle point evaluation of their integral representation.
| 11.441344
| 10.192289
| 12.459221
| 9.519172
| 9.983601
| 10.698287
| 10.240786
| 10.015018
| 9.917937
| 12.863083
| 9.070951
| 10.454882
| 10.872083
| 9.783083
| 10.058428
| 9.89819
| 9.796735
| 10.273369
| 9.92385
| 11.393308
| 9.796814
|
hep-th/9305014
|
Edwin Langmann
|
Edwin Langmann
|
Cocycles for Boson and Fermion Bogoliubov Transformations
|
23 pages, UBC preprint (August 92)
|
J.Math.Phys.35:96-112,1994
|
10.1063/1.530744
| null |
hep-th
| null |
Unitarily implementable Bogoliubov transformations for charged, relativistic
bos\-ons and fermions are discussed, and explicit formulas for the 2-cocycles
appearing in the group product of their implementers are derived. In the
fermion case this provides a simple field theoretic derivation of the
well-known cocycle of the group of unitary Hilbert space operators modeled on
the Hilbert Schmidt class and closely related to the loop groups. In the boson
case the cocycle is obtained for a similar group of pseudo-unitary (symplectic)
operators. I also derive explcite formulas for the phases of one-parameter
groups of implementers and, more generally, families of implementers which are
unitary propagators with parameter dependent generators.
|
[
{
"created": "Wed, 5 May 1993 03:54:00 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Langmann",
"Edwin",
""
]
] |
Unitarily implementable Bogoliubov transformations for charged, relativistic bos\-ons and fermions are discussed, and explicit formulas for the 2-cocycles appearing in the group product of their implementers are derived. In the fermion case this provides a simple field theoretic derivation of the well-known cocycle of the group of unitary Hilbert space operators modeled on the Hilbert Schmidt class and closely related to the loop groups. In the boson case the cocycle is obtained for a similar group of pseudo-unitary (symplectic) operators. I also derive explcite formulas for the phases of one-parameter groups of implementers and, more generally, families of implementers which are unitary propagators with parameter dependent generators.
| 13.543458
| 15.007685
| 15.67111
| 13.304266
| 15.449141
| 14.962015
| 14.104181
| 13.847445
| 14.215188
| 15.024916
| 13.487788
| 13.149521
| 13.377175
| 12.832739
| 13.639527
| 13.355506
| 13.927179
| 13.155481
| 13.071464
| 13.801435
| 12.689617
|
hep-th/0209016
|
Norma Sanchez
|
Norma G. Sanchez
|
New Developments in String Gravity and String Cosmology.A Summary Report
|
Chalonge School Lectures on Astrofundamental Physics, 9th Course 7-18
September 2002, To appear in the Proceedings edited by N.G. Sanchez and Yu.
Parijskij, NATO ASI Series, Kluwer Pub
| null | null | null |
hep-th astro-ph gr-qc hep-ph
| null |
New Developments in String Gravity and String Cosmology are reported:
1-String driven cosmology and its Predictions. 2-The primordial gravitational
wave background in string cosmology. 3-Non-singular string cosmologies from
Exact Conformal Field Theories. 4-Quantum Field Theory, String Temperature and
the String Phase of de Sitter space-time, 5-Hawking Radiation in String Theory
and the String Phase of Black Holes. 6-New Dual Relation between Quantum Field
Theory regimes and String regimes in Curved Backgrounds, and the 'QFT/String
Tango'. 7- New Coherent String States and Minimal Uncertainty Principle in WZWN
models
|
[
{
"created": "Mon, 2 Sep 2002 12:21:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sanchez",
"Norma G.",
""
]
] |
New Developments in String Gravity and String Cosmology are reported: 1-String driven cosmology and its Predictions. 2-The primordial gravitational wave background in string cosmology. 3-Non-singular string cosmologies from Exact Conformal Field Theories. 4-Quantum Field Theory, String Temperature and the String Phase of de Sitter space-time, 5-Hawking Radiation in String Theory and the String Phase of Black Holes. 6-New Dual Relation between Quantum Field Theory regimes and String regimes in Curved Backgrounds, and the 'QFT/String Tango'. 7- New Coherent String States and Minimal Uncertainty Principle in WZWN models
| 13.540287
| 10.561239
| 14.615268
| 11.694095
| 11.437482
| 12.033641
| 11.919221
| 11.167987
| 11.055075
| 13.031052
| 11.68742
| 12.280207
| 13.497079
| 13.038535
| 12.585202
| 12.426383
| 12.053038
| 12.216656
| 12.524194
| 13.211852
| 12.278362
|
1503.04686
|
Harold Erbin
|
Harold Erbin and Nick Halmagyi
|
Quarter-BPS Black Holes in AdS$_4$-NUT from $N=2$ Gauged Supergravity
|
33 pages; v2: published version, fix minor typos, add references
|
JHEP 1510 (2015) 081
|
10.1007/JHEP10(2015)081
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study $N=2$ gauged supergravity with $U(1)$ gauge group coupled to $n_v$
vector multiplets and find quite general analytic solutions for quarter-BPS
black holes with mass, NUT and dyonic Maxwell charges. The solutions we find
have running scalar fields and flow in the IR region to a horizon geometry of
the form AdS$_2\times \Sigma_g$.
|
[
{
"created": "Mon, 16 Mar 2015 15:26:37 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Oct 2015 16:20:42 GMT",
"version": "v2"
}
] |
2015-10-23
|
[
[
"Erbin",
"Harold",
""
],
[
"Halmagyi",
"Nick",
""
]
] |
We study $N=2$ gauged supergravity with $U(1)$ gauge group coupled to $n_v$ vector multiplets and find quite general analytic solutions for quarter-BPS black holes with mass, NUT and dyonic Maxwell charges. The solutions we find have running scalar fields and flow in the IR region to a horizon geometry of the form AdS$_2\times \Sigma_g$.
| 9.8216
| 9.202286
| 11.756253
| 9.220015
| 9.38973
| 9.437701
| 9.886952
| 9.824471
| 9.382838
| 11.77624
| 8.68172
| 9.373496
| 10.606234
| 8.921816
| 9.435504
| 9.240971
| 9.200483
| 9.250646
| 9.069607
| 10.944221
| 8.968366
|
hep-th/0108222
|
Karen Elsner
|
Karen Elsner
|
Noncommutative Geometry: Calculation of the Standard Model Lagrangian
|
10 pages; contribution to the proceedings of the Euroconference
"Brane New World and Noncommutative Geometry", Villa Gualino, Turin, Italy,
October 2-7, 2000
|
Mod.Phys.Lett. A16 (2001) 241-249
|
10.1142/S0217732301003310
|
MPI-PhT-2001/31 and gk-mp-0108/71
|
hep-th
| null |
The calculation of the standard model Lagrangian of classical field theory
within the framework of noncommutative geometry is sketched using a variant
with 18 parameters. Improvements compared with the traditional formulation are
contrasted with remaining deviations from the requirements of physics.
|
[
{
"created": "Wed, 29 Aug 2001 21:30:56 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Elsner",
"Karen",
""
]
] |
The calculation of the standard model Lagrangian of classical field theory within the framework of noncommutative geometry is sketched using a variant with 18 parameters. Improvements compared with the traditional formulation are contrasted with remaining deviations from the requirements of physics.
| 25.606337
| 21.790302
| 24.279593
| 20.429848
| 24.083612
| 22.175406
| 20.909285
| 20.940336
| 24.338444
| 24.882002
| 21.708755
| 21.467758
| 24.04652
| 23.344849
| 23.523476
| 20.892035
| 21.940804
| 21.945549
| 22.206017
| 23.094595
| 20.781445
|
2202.07683
|
Mario Martone
|
Philip C. Argyres, Jonathan J. Heckman, Kenneth Intriligator, and
Mario Martone
|
Snowmass White Paper on SCFTs
|
References updated
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Superconformal field theories (SCFTs) occupy a central role in the study of
many aspects of quantum field theory. In this white paper for the Snowmass
process we give a brief overview of aspects of SCFTs in $3\leq D \leq 6$
space-time dimensions, including classification efforts and some of the vast
current research trends on the physical and mathematical structures generated
by this rich class of physical theories.
|
[
{
"created": "Tue, 15 Feb 2022 19:10:22 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2022 13:51:47 GMT",
"version": "v2"
}
] |
2022-09-28
|
[
[
"Argyres",
"Philip C.",
""
],
[
"Heckman",
"Jonathan J.",
""
],
[
"Intriligator",
"Kenneth",
""
],
[
"Martone",
"Mario",
""
]
] |
Superconformal field theories (SCFTs) occupy a central role in the study of many aspects of quantum field theory. In this white paper for the Snowmass process we give a brief overview of aspects of SCFTs in $3\leq D \leq 6$ space-time dimensions, including classification efforts and some of the vast current research trends on the physical and mathematical structures generated by this rich class of physical theories.
| 9.4973
| 8.456672
| 8.719419
| 7.607227
| 7.525241
| 8.851655
| 7.75668
| 7.337593
| 7.866993
| 9.018464
| 7.496811
| 8.059364
| 8.09666
| 7.958733
| 8.182606
| 7.878631
| 7.810661
| 7.997448
| 7.869663
| 8.050009
| 8.165025
|
2404.15561
|
Rod Aros Mr.
|
R. Aros, F. Bugini, D.E. D\'iaz, C. N\'u\~nez-Barra
|
Casimir energy on the sphere and 6D CFT trace anomaly
|
Version 3: 15 pages, 3 tables. References added and minor
clarifications
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We elucidate the dependence of the Casimir energy on the trace anomaly
coefficients for a six-dimensional CFT on $R\times S^5$. This extends the
universal dependence on the central charge in 2D and the relation by Cappelli
and Coste in 4D, unveiling the role of the trivial total derivatives in the
anomaly that renders the Casimir energy scheme dependent. We obtain
$$E_o=-\frac{15}{8}\,a_6
-\frac{5}{12}\,\left(g_5+\frac{1}{4}\,g_7+\frac{1}{2}\,g_8-10\,
g_9+g_{10}\right),$$ with $a_6$ being the type A central charge and the $g$'s,
the coefficients of five out of six terms that form a basis for trivial total
derivatives. The derivation is based on the Polyakov formulas (conformal
primitive) resulting from the integration of the trace anomaly.
Alternatively, on a 6D conformally flat background the above basis is
redundant and one can simplify further to get, in terms of the Schouten scalar
$J$ and the Schouten tensor $V$, Branson's basis for trivial total derivatives
$\nabla^2\nabla^2 J$, $\nabla^2J^2$ and
$\nabla^2|V|^2+2\nabla\cdot(V\cdot\nabla\,J)$ with coefficients $\gamma_1,
\gamma_2$ and $\gamma_3$, respectively, \begin{equation} \nonumber
E_o=-\frac{15}{8}a_6-\frac{1}{24}\left(\gamma_1-\gamma_2
-\frac{1}{8}\gamma_3\right)~. \end{equation}
|
[
{
"created": "Tue, 23 Apr 2024 23:21:54 GMT",
"version": "v1"
},
{
"created": "Tue, 7 May 2024 23:10:06 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jul 2024 14:56:36 GMT",
"version": "v3"
}
] |
2024-07-18
|
[
[
"Aros",
"R.",
""
],
[
"Bugini",
"F.",
""
],
[
"Díaz",
"D. E.",
""
],
[
"Núñez-Barra",
"C.",
""
]
] |
We elucidate the dependence of the Casimir energy on the trace anomaly coefficients for a six-dimensional CFT on $R\times S^5$. This extends the universal dependence on the central charge in 2D and the relation by Cappelli and Coste in 4D, unveiling the role of the trivial total derivatives in the anomaly that renders the Casimir energy scheme dependent. We obtain $$E_o=-\frac{15}{8}\,a_6 -\frac{5}{12}\,\left(g_5+\frac{1}{4}\,g_7+\frac{1}{2}\,g_8-10\, g_9+g_{10}\right),$$ with $a_6$ being the type A central charge and the $g$'s, the coefficients of five out of six terms that form a basis for trivial total derivatives. The derivation is based on the Polyakov formulas (conformal primitive) resulting from the integration of the trace anomaly. Alternatively, on a 6D conformally flat background the above basis is redundant and one can simplify further to get, in terms of the Schouten scalar $J$ and the Schouten tensor $V$, Branson's basis for trivial total derivatives $\nabla^2\nabla^2 J$, $\nabla^2J^2$ and $\nabla^2|V|^2+2\nabla\cdot(V\cdot\nabla\,J)$ with coefficients $\gamma_1, \gamma_2$ and $\gamma_3$, respectively, \begin{equation} \nonumber E_o=-\frac{15}{8}a_6-\frac{1}{24}\left(\gamma_1-\gamma_2 -\frac{1}{8}\gamma_3\right)~. \end{equation}
| 6.722733
| 7.517729
| 7.487983
| 6.958737
| 7.138815
| 7.448435
| 7.429452
| 6.950259
| 6.729446
| 7.928873
| 6.63958
| 6.759592
| 6.732244
| 6.606948
| 6.573172
| 6.581021
| 6.607334
| 6.520889
| 6.668989
| 6.983909
| 6.603309
|
hep-th/9110010
|
Tim Hollowood
|
Timothy Hollowood
|
Quantum Solitons in Affine Toda Field Theories
|
21 pages
| null |
10.1016/0550-3213(92)90579-Z
| null |
hep-th
| null |
The spectra of $A_r$ affine Toda field theories with imaginary coupling
constant, are investigated. Soliton solutions are found, which, despite the
non-unitary form of the Lagrangian, have real classical masses and are stable
to small perturbations. The quantum corrections to the soliton masses are
determined, to lowest order in $\hbar$. The solitons have the same spectrum as
the fundamental Toda particles; a feature that is preserved in the quantum
theory.
|
[
{
"created": "Thu, 3 Oct 1991 04:59:29 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Hollowood",
"Timothy",
""
]
] |
The spectra of $A_r$ affine Toda field theories with imaginary coupling constant, are investigated. Soliton solutions are found, which, despite the non-unitary form of the Lagrangian, have real classical masses and are stable to small perturbations. The quantum corrections to the soliton masses are determined, to lowest order in $\hbar$. The solitons have the same spectrum as the fundamental Toda particles; a feature that is preserved in the quantum theory.
| 8.895107
| 6.941246
| 9.133928
| 7.049879
| 7.413233
| 6.929162
| 7.315427
| 7.137942
| 7.337016
| 9.79833
| 7.174866
| 6.984463
| 8.581888
| 7.610186
| 7.455698
| 7.259645
| 7.295671
| 7.238766
| 7.33646
| 8.462065
| 6.927351
|
1708.04977
|
Roji Pius
|
Seyed Faroogh Moosavian, Roji Pius
|
Hyperbolic Geometry and Closed Bosonic String Field Theory II: The Rules
for Evaluating the Quantum BV Master Action
|
51 pages, 15 figures, version to appear in JHEP
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The quantum Batalian-Vilkovisky master action for closed string field theory
consists of kinetic term and infinite number of interaction terms. The
interaction strengths (coupling constants) are given by integrating the
off-shell string measure over the distinct string diagrams describing the
elementary interactions of the closed strings. In the first paper of this
series, it was shown that the string diagrams describing the elementary
interactions can be characterized using the Riemann surfaces endowed with the
hyperbolic metric with constant curvature $-1$. In this paper, we construct the
off-shell bosonic-string measure as a function of the Fenchel-Nielsen
coordinates of the Teichm\"uller space of hyperbolic Riemann surfaces. We also
describe an explicit procedure for integrating the off-shell string measure
over the region inside the moduli space corresponding to the elementary
interactions of the closed strings.
|
[
{
"created": "Wed, 16 Aug 2017 17:09:18 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Feb 2019 05:44:21 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jul 2019 08:47:07 GMT",
"version": "v3"
}
] |
2019-07-31
|
[
[
"Moosavian",
"Seyed Faroogh",
""
],
[
"Pius",
"Roji",
""
]
] |
The quantum Batalian-Vilkovisky master action for closed string field theory consists of kinetic term and infinite number of interaction terms. The interaction strengths (coupling constants) are given by integrating the off-shell string measure over the distinct string diagrams describing the elementary interactions of the closed strings. In the first paper of this series, it was shown that the string diagrams describing the elementary interactions can be characterized using the Riemann surfaces endowed with the hyperbolic metric with constant curvature $-1$. In this paper, we construct the off-shell bosonic-string measure as a function of the Fenchel-Nielsen coordinates of the Teichm\"uller space of hyperbolic Riemann surfaces. We also describe an explicit procedure for integrating the off-shell string measure over the region inside the moduli space corresponding to the elementary interactions of the closed strings.
| 7.531576
| 6.848465
| 7.436231
| 6.556381
| 6.769058
| 6.587586
| 6.752082
| 6.533003
| 6.638974
| 7.673543
| 6.717459
| 6.776306
| 6.844404
| 6.780571
| 6.941896
| 6.874989
| 6.763824
| 6.621036
| 6.85075
| 6.933521
| 6.818636
|
1906.08734
|
Carlos Andres Cardona Giraldo
|
Carlos Cardona
|
Correlation functions at the bulk point singularity from the
gravitational eikonal S-matrix
|
(18+3) pages, 3 figures, references added, typos corrected. Version
match JHEP to be published version
| null |
10.1007/JHEP11(2019)044
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The bulk point singularity limit of conformal correlation functions in
Lorentzian signature acts as a microscope to look into local bulk physics in
AdS. From it we can extract flat space scattering processes localized in AdS
that ultimate should be related to corresponding observables on the conformal
field theory at the boundary. In this paper we use this interesting property to
propose a map from flat space s-matrix to conformal correlation functions and
try it on perturbative gravitational scattering. In particular, we show that
the eikonal limit of gravitation scattering maps to a correlation function of
the expected form at the bulk point singularity. We also compute the inverse
map recovering a previous proposal in the literature.
|
[
{
"created": "Thu, 20 Jun 2019 16:31:37 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jul 2019 10:24:15 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Nov 2019 23:50:52 GMT",
"version": "v3"
}
] |
2020-01-08
|
[
[
"Cardona",
"Carlos",
""
]
] |
The bulk point singularity limit of conformal correlation functions in Lorentzian signature acts as a microscope to look into local bulk physics in AdS. From it we can extract flat space scattering processes localized in AdS that ultimate should be related to corresponding observables on the conformal field theory at the boundary. In this paper we use this interesting property to propose a map from flat space s-matrix to conformal correlation functions and try it on perturbative gravitational scattering. In particular, we show that the eikonal limit of gravitation scattering maps to a correlation function of the expected form at the bulk point singularity. We also compute the inverse map recovering a previous proposal in the literature.
| 16.341932
| 14.083213
| 16.44323
| 13.255027
| 14.023476
| 13.055343
| 13.866712
| 14.921557
| 13.009332
| 18.313759
| 13.635147
| 13.847401
| 15.197419
| 14.854545
| 14.212575
| 13.693992
| 13.81678
| 14.693527
| 14.502229
| 15.331703
| 13.572078
|
1809.04210
|
Alberto Mart\'in-Ruiz
|
A. Mart\'in-Ruiz, M. Cambiaso, L. F. Urrutia
|
Electromagnetic fields induced by an electric charge near a Weyl
semimetal
|
Accepted for publication in Physical Review B
|
Phys. Rev. B 99, 155142 (2019)
|
10.1103/PhysRevB.99.155142
| null |
hep-th cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Weyl semimetals (WSM) are a new class of topological materials that exhibit a
bulk Hall effect due to time-reversal symmetry breaking, as well as a chiral
magnetic effect due to inversion symmetry breaking. These unusual
electromagnetic responses can be characterized by an axion term $\theta
\textbf{E} \cdot \textbf{B}$ with space and time dependent axion angle $\theta
(\textbf{r} ,t)$. In this paper we compute the electromagnetic fields produced
by an electric charge near to a topological Weyl semimetal with two Weyl nodes
in the bulk Brillouin zone. We find that, as in ordinary metals and
dielectrics, outside the WSM the electric field is mainly determined by the
optical properties of the material. The magnetic field is, on the contrary, of
topological origin in nature due to the magnetoelectric effect of topological
phases. We show that the magnetic field exhibits a particularly interesting
behavior above the WSM: the field lines begin at the surface and then end at
the surface (but not at the same point). This behavior is quite different from
that produced by an electric charge near the surface of a topological
insulator, where the magnetic field above the surface is generated by an image
magnetic monopole beneath the surface, in which case, the magnetic field lines
are straight rays. The unconventional behavior of the magnetic field is an
experimentally observable signature of the anomalous Hall effect in the bulk of
the WSM. We discuss a simple candidate material for testing our predictions, as
well as two experimental setups which must be sensitive to the effects of the
induced magnetic field.
|
[
{
"created": "Wed, 12 Sep 2018 01:07:25 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Apr 2019 17:18:18 GMT",
"version": "v2"
}
] |
2019-05-01
|
[
[
"Martín-Ruiz",
"A.",
""
],
[
"Cambiaso",
"M.",
""
],
[
"Urrutia",
"L. F.",
""
]
] |
Weyl semimetals (WSM) are a new class of topological materials that exhibit a bulk Hall effect due to time-reversal symmetry breaking, as well as a chiral magnetic effect due to inversion symmetry breaking. These unusual electromagnetic responses can be characterized by an axion term $\theta \textbf{E} \cdot \textbf{B}$ with space and time dependent axion angle $\theta (\textbf{r} ,t)$. In this paper we compute the electromagnetic fields produced by an electric charge near to a topological Weyl semimetal with two Weyl nodes in the bulk Brillouin zone. We find that, as in ordinary metals and dielectrics, outside the WSM the electric field is mainly determined by the optical properties of the material. The magnetic field is, on the contrary, of topological origin in nature due to the magnetoelectric effect of topological phases. We show that the magnetic field exhibits a particularly interesting behavior above the WSM: the field lines begin at the surface and then end at the surface (but not at the same point). This behavior is quite different from that produced by an electric charge near the surface of a topological insulator, where the magnetic field above the surface is generated by an image magnetic monopole beneath the surface, in which case, the magnetic field lines are straight rays. The unconventional behavior of the magnetic field is an experimentally observable signature of the anomalous Hall effect in the bulk of the WSM. We discuss a simple candidate material for testing our predictions, as well as two experimental setups which must be sensitive to the effects of the induced magnetic field.
| 6.18318
| 7.092981
| 6.401022
| 6.432814
| 6.51948
| 7.096917
| 7.02584
| 6.659945
| 6.20758
| 6.763855
| 6.193041
| 6.070357
| 6.079391
| 5.947948
| 6.008379
| 6.156998
| 6.071789
| 6.112472
| 6.113357
| 6.251453
| 5.962398
|
hep-th/0101202
|
Michael Volkov
|
Ali H. Chamseddine and Mikhail S. Volkov
|
Non-Abelian vacua in D=5, N=4 gauged supergravity
|
13 pages, LaTeX, 2 eps figures; references added
|
JHEP 0104:023,2001
|
10.1088/1126-6708/2001/04/023
|
FSUJ-TPI 01/01, CAMS/01-01
|
hep-th
| null |
We study essentially non-Abelian backgrounds in the five dimensional N=4
gauged SU(2)$\times$U(1) supergravity. Static configurations that are invariant
under either the SO(4) spatial rotations or with respect to the SO(3) rotations
and translations along the fourth spatial coordinate are considered. By
analyzing consistency conditions for the equations for supersymmetric Killing
spinors we derive the Bogomol'nyi equations and obtain their globally regular
solutions. The SO(4) symmetric configurations contain the purely magnetic
non-Abelian fields together with the purely electric Abelian field and possess
two unbroken supersymmetries. The SO(3) configurations have only the
non-Abelian fields and preserve four supersymmetries.
|
[
{
"created": "Mon, 29 Jan 2001 20:09:02 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Feb 2001 18:07:29 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Chamseddine",
"Ali H.",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] |
We study essentially non-Abelian backgrounds in the five dimensional N=4 gauged SU(2)$\times$U(1) supergravity. Static configurations that are invariant under either the SO(4) spatial rotations or with respect to the SO(3) rotations and translations along the fourth spatial coordinate are considered. By analyzing consistency conditions for the equations for supersymmetric Killing spinors we derive the Bogomol'nyi equations and obtain their globally regular solutions. The SO(4) symmetric configurations contain the purely magnetic non-Abelian fields together with the purely electric Abelian field and possess two unbroken supersymmetries. The SO(3) configurations have only the non-Abelian fields and preserve four supersymmetries.
| 7.003179
| 6.828781
| 7.707772
| 6.319763
| 6.923208
| 6.84888
| 6.79367
| 6.33304
| 6.348507
| 7.676992
| 6.340772
| 6.389816
| 6.533743
| 6.316011
| 6.394806
| 6.37353
| 6.449028
| 6.451595
| 6.477792
| 7.044206
| 6.402223
|
0906.1920
|
Joseph Conlon
|
Joseph P. Conlon, Eran Palti
|
Gauge Threshold Corrections for Local Orientifolds
|
44 pages
|
JHEP 0909:019,2009
|
10.1088/1126-6708/2009/09/019
|
OUTP-09/13P
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study gauge threshold corrections for systems of fractional branes at
local orientifold singularities and compare with the general Kaplunovsky-Louis
expression for locally supersymmetric N=1 gauge theories. We focus on branes at
orientifolds of the C^3/Z_4, C^3/Z_6 and C^3/Z_6' singularities. We provide a
CFT construction of these theories and compute the threshold corrections. Gauge
coupling running undergoes two phases: one phase running from the bulk winding
scale to the string scale, and a second phase running from the string scale to
the infrared. The first phase is associated to the contribution of N=2 sectors
to the IR beta functions and the second phase to the contribution of both N=1
and N=2 sectors. In contrast, naive application of the Kaplunovsky-Louis
formula gives single running from the bulk winding mode scale. The discrepancy
is resolved through 1-loop non-universality of the holomorphic gauge couplings
at the singularity, induced by a 1-loop redefinition of the twisted blow-up
moduli which couple differently to different gauge nodes. We also study the
physics of anomalous and non-anomalous U(1)s and give a CFT description of how
masses for non-anomalous U(1)s depend on the global properties of cycles.
|
[
{
"created": "Wed, 10 Jun 2009 12:05:18 GMT",
"version": "v1"
}
] |
2009-10-02
|
[
[
"Conlon",
"Joseph P.",
""
],
[
"Palti",
"Eran",
""
]
] |
We study gauge threshold corrections for systems of fractional branes at local orientifold singularities and compare with the general Kaplunovsky-Louis expression for locally supersymmetric N=1 gauge theories. We focus on branes at orientifolds of the C^3/Z_4, C^3/Z_6 and C^3/Z_6' singularities. We provide a CFT construction of these theories and compute the threshold corrections. Gauge coupling running undergoes two phases: one phase running from the bulk winding scale to the string scale, and a second phase running from the string scale to the infrared. The first phase is associated to the contribution of N=2 sectors to the IR beta functions and the second phase to the contribution of both N=1 and N=2 sectors. In contrast, naive application of the Kaplunovsky-Louis formula gives single running from the bulk winding mode scale. The discrepancy is resolved through 1-loop non-universality of the holomorphic gauge couplings at the singularity, induced by a 1-loop redefinition of the twisted blow-up moduli which couple differently to different gauge nodes. We also study the physics of anomalous and non-anomalous U(1)s and give a CFT description of how masses for non-anomalous U(1)s depend on the global properties of cycles.
| 8.314514
| 8.594707
| 8.840146
| 7.934174
| 8.958853
| 8.174109
| 8.261392
| 7.824927
| 8.217686
| 9.679982
| 8.401659
| 8.126554
| 8.707304
| 7.984684
| 7.959414
| 8.125129
| 8.293069
| 8.09335
| 7.873632
| 8.883643
| 7.875664
|
hep-th/9408003
|
Hugo Compean
|
H. Garc\'ia-Compe\'an, J.M. L\'opez-Romero, M.A. Rodr\'iguez-Segura
and M. Socolovsky
|
Principal Bundles, Connections and BRST Cohomology
|
31 pages, Latex
|
Aport. Mat. Com. 13, 63-94, 1993
| null |
CINVESTAV-HEP 06/94
|
hep-th
| null |
We review the elementary theory of gauge fields and the Becchi-Rouet-Stora-
Tyutin symmetry in the context of differential geometry. We emphasize the
topological nature of this symmetry and discuss a double Chevalley-Eilenberg
complex for it.
|
[
{
"created": "Sat, 30 Jul 1994 19:56:45 GMT",
"version": "v1"
}
] |
2016-08-14
|
[
[
"García-Compeán",
"H.",
""
],
[
"López-Romero",
"J. M.",
""
],
[
"Rodríguez-Segura",
"M. A.",
""
],
[
"Socolovsky",
"M.",
""
]
] |
We review the elementary theory of gauge fields and the Becchi-Rouet-Stora- Tyutin symmetry in the context of differential geometry. We emphasize the topological nature of this symmetry and discuss a double Chevalley-Eilenberg complex for it.
| 10.088211
| 9.928591
| 11.075325
| 8.933053
| 9.469365
| 10.010431
| 9.511809
| 8.928142
| 8.655255
| 11.189981
| 8.878165
| 9.138017
| 10.053086
| 9.614382
| 9.699016
| 9.47826
| 9.634722
| 9.372274
| 9.125912
| 9.645713
| 9.248581
|
2212.11640
|
Kanhu Kishore Nanda
|
Sumit R. Das, Anurag Kaushal, Gautam Mandal, Kanhu Kishore Nanda,
Mohamed Hany Radwan, Sandip P. Trivedi
|
Entanglement Entropy in Internal Spaces and Ryu-Takayanagi Surfaces
|
v2: 67 pages, 12 figures. Typos corrected and some comments added
| null |
10.1007/JHEP04(2023)141
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study minimum area surfaces associated with a region, $R$, of an internal
space. For example, for a warped product involving an asymptotically $AdS$
space and an internal space $K$, the region $R$ lies in $K$ and the surface
ends on $\partial R$. We find that the result of Graham and Karch can be
avoided in the presence of warping, and such surfaces can sometimes exist for a
general region $R$. When such a warped product geometry arises in the IR from a
higher dimensional asymptotic AdS, we argue that the area of the surface can be
related to the entropy arising from entanglement of internal degrees of freedom
of the boundary theory. We study several examples, including warped or direct
products involving $AdS_2$, or higher dimensional $AdS$ spaces, with the
internal space, $K=R^m, S^m$; $Dp$ brane geometries and their near horizon
limits; and several geometries with a UV cut-off. We find that such RT surfaces
often exist and can be useful probes of the system, revealing information about
finite length correlations, thermodynamics and entanglement. We also make some
preliminary observations about the role such surfaces can play in bulk
reconstruction, and their relation to subalgebras of observables in the
boundary theory.
|
[
{
"created": "Thu, 22 Dec 2022 12:12:25 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2023 06:13:46 GMT",
"version": "v2"
}
] |
2023-05-17
|
[
[
"Das",
"Sumit R.",
""
],
[
"Kaushal",
"Anurag",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Nanda",
"Kanhu Kishore",
""
],
[
"Radwan",
"Mohamed Hany",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] |
We study minimum area surfaces associated with a region, $R$, of an internal space. For example, for a warped product involving an asymptotically $AdS$ space and an internal space $K$, the region $R$ lies in $K$ and the surface ends on $\partial R$. We find that the result of Graham and Karch can be avoided in the presence of warping, and such surfaces can sometimes exist for a general region $R$. When such a warped product geometry arises in the IR from a higher dimensional asymptotic AdS, we argue that the area of the surface can be related to the entropy arising from entanglement of internal degrees of freedom of the boundary theory. We study several examples, including warped or direct products involving $AdS_2$, or higher dimensional $AdS$ spaces, with the internal space, $K=R^m, S^m$; $Dp$ brane geometries and their near horizon limits; and several geometries with a UV cut-off. We find that such RT surfaces often exist and can be useful probes of the system, revealing information about finite length correlations, thermodynamics and entanglement. We also make some preliminary observations about the role such surfaces can play in bulk reconstruction, and their relation to subalgebras of observables in the boundary theory.
| 11.301661
| 10.320806
| 11.072523
| 9.522635
| 9.950484
| 9.889338
| 9.89618
| 9.565275
| 9.901981
| 12.411809
| 10.042757
| 9.871421
| 10.076922
| 9.8862
| 9.835562
| 9.770014
| 9.652716
| 9.764164
| 9.755617
| 10.212697
| 9.973507
|
hep-th/0505035
|
Chuan-Tsung Chan
|
Chuan-Tsung Chan, Pei-Ming Ho, Jen-Chi Lee, Shunsuke Teraguchi, Yi
Yang
|
High-energy zero-norm states and symmetries of string theory
|
10 pages, no figure, modifications of text and references
|
Phys.Rev.Lett. 96 (2006) 171601
|
10.1103/PhysRevLett.96.171601
| null |
hep-th
| null |
High-energy limit of zero-norm states (HZNS) in the old covariant first
quantized (OCFQ) spectrum of the 26D open bosonic string, together with the
assumption of a smooth behavior of string theory in this limit, are used to
derive infinitely many linear relations among the leading high-energy, fixed
angle behavior of four point functions of different string states. As a result,
ratios among all high-energy scattering amplitudes of four arbitrary string
states can be calculated algebraically and the leading order amplitudes can be
expressed in terms of that of four tachyons as conjectured by Gross in 1988. A
dual calculation can also be performed and equivalent results are obtained by
taking the high-energy limit of Virasoro constraints. Finally, as a consistent
sample calculation, we compute all high-energy scattering amplitudes of three
tachyons and one massive state at the leading order by saddle-point
approximation to justify our results.
|
[
{
"created": "Wed, 4 May 2005 15:36:53 GMT",
"version": "v1"
},
{
"created": "Fri, 27 May 2005 11:17:39 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Sep 2005 00:50:59 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Feb 2006 13:43:05 GMT",
"version": "v4"
},
{
"created": "Wed, 15 Mar 2006 06:11:43 GMT",
"version": "v5"
},
{
"created": "Thu, 1 Jun 2006 13:41:49 GMT",
"version": "v6"
}
] |
2009-11-11
|
[
[
"Chan",
"Chuan-Tsung",
""
],
[
"Ho",
"Pei-Ming",
""
],
[
"Lee",
"Jen-Chi",
""
],
[
"Teraguchi",
"Shunsuke",
""
],
[
"Yang",
"Yi",
""
]
] |
High-energy limit of zero-norm states (HZNS) in the old covariant first quantized (OCFQ) spectrum of the 26D open bosonic string, together with the assumption of a smooth behavior of string theory in this limit, are used to derive infinitely many linear relations among the leading high-energy, fixed angle behavior of four point functions of different string states. As a result, ratios among all high-energy scattering amplitudes of four arbitrary string states can be calculated algebraically and the leading order amplitudes can be expressed in terms of that of four tachyons as conjectured by Gross in 1988. A dual calculation can also be performed and equivalent results are obtained by taking the high-energy limit of Virasoro constraints. Finally, as a consistent sample calculation, we compute all high-energy scattering amplitudes of three tachyons and one massive state at the leading order by saddle-point approximation to justify our results.
| 10.503834
| 7.199115
| 11.499425
| 7.8815
| 8.166679
| 7.67599
| 8.229217
| 7.351901
| 7.676494
| 12.546178
| 7.251654
| 8.549255
| 10.505558
| 8.962782
| 8.993894
| 8.685724
| 8.963867
| 8.685879
| 8.952031
| 10.175906
| 9.269177
|
hep-th/0511303
|
Nejat Yilmaz
|
N. T. Yilmaz
|
Non-Linear Realisation of the Pure N=4, D=5 Supergravity
|
12 pages
|
Phys.Rev.D72:105013,2005
|
10.1103/PhysRevD.72.105013
| null |
hep-th
| null |
We perform the non-linear realisation or the coset formulation of the pure
N=4, D=5 supergravity. We derive the Lie superalgebra which parameterizes a
coset map whose induced Cartan-Maurer form produces the bosonic field equations
of the pure N=4, D=5 supergravity by canonically satisfying the Cartan-Maurer
equation. We also obtain the first-order field equations of the theory as a
twisted self-duality condition for the Cartan-Maurer form within the
geometrical framework of the coset construction.
|
[
{
"created": "Wed, 30 Nov 2005 12:27:54 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Yilmaz",
"N. T.",
""
]
] |
We perform the non-linear realisation or the coset formulation of the pure N=4, D=5 supergravity. We derive the Lie superalgebra which parameterizes a coset map whose induced Cartan-Maurer form produces the bosonic field equations of the pure N=4, D=5 supergravity by canonically satisfying the Cartan-Maurer equation. We also obtain the first-order field equations of the theory as a twisted self-duality condition for the Cartan-Maurer form within the geometrical framework of the coset construction.
| 8.797873
| 8.418638
| 11.03077
| 8.285697
| 8.280107
| 8.014734
| 9.363747
| 7.781269
| 7.955319
| 10.822724
| 8.13082
| 8.593311
| 9.357899
| 8.427503
| 8.575711
| 8.456704
| 8.608194
| 8.361846
| 8.940434
| 9.032262
| 8.226215
|
hep-th/0001113
|
Keiichi Akama
|
Keiichi Akama
|
An Early Proposal of "Brane World"
|
5 pages, no figure
|
Lect.Notes Phys.176:267-271,1982
| null |
SMC-PHYS-160
|
hep-th gr-qc hep-ph
| null |
Here we place the TeX-typeset version of the old preprint SMC-PHYS-66 (1982),
which was published in K. Akama, "Pregeometry", in Lecture Notes in Physics,
176, Gauge Theory and Gravitation, Proceedings, Nara, 1982, edited by K.
Kikkawa, N. Nakanishi and H. Nariai, (Springer-Verlag) 267--271. In the paper,
we presented the picture that we live in a "brane world" (in the present-day
terminology) i.e. in a dynamically localized 3-brane in a higher dimensional
space. We adopt, as an example, the dynamics of the Nielsen-Olesen vortex type
in six dimensional spacetime to localize our space-time within a 3-brane. At
low energies, everything is trapped in the 3-brane, and the Einstein gravity is
induced through the fluctuations of the 3-brane. The idea is important because
it provides a way basically distinct from the "compactification" to hide the
extra dimensions which become necessary for various theoretical reasons.
|
[
{
"created": "Wed, 19 Jan 2000 10:15:21 GMT",
"version": "v1"
}
] |
2011-01-17
|
[
[
"Akama",
"Keiichi",
""
]
] |
Here we place the TeX-typeset version of the old preprint SMC-PHYS-66 (1982), which was published in K. Akama, "Pregeometry", in Lecture Notes in Physics, 176, Gauge Theory and Gravitation, Proceedings, Nara, 1982, edited by K. Kikkawa, N. Nakanishi and H. Nariai, (Springer-Verlag) 267--271. In the paper, we presented the picture that we live in a "brane world" (in the present-day terminology) i.e. in a dynamically localized 3-brane in a higher dimensional space. We adopt, as an example, the dynamics of the Nielsen-Olesen vortex type in six dimensional spacetime to localize our space-time within a 3-brane. At low energies, everything is trapped in the 3-brane, and the Einstein gravity is induced through the fluctuations of the 3-brane. The idea is important because it provides a way basically distinct from the "compactification" to hide the extra dimensions which become necessary for various theoretical reasons.
| 9.63613
| 13.376439
| 11.991775
| 10.110378
| 10.894728
| 12.249271
| 13.234327
| 12.307918
| 12.218972
| 13.279971
| 10.805597
| 9.959423
| 9.562826
| 9.203763
| 9.841156
| 9.596045
| 9.509105
| 9.742043
| 9.52202
| 9.551201
| 9.713871
|
hep-th/0311262
|
Tetsuya Shiromizu
|
Sumitada Onda, Tetsuya Shiromizu, Kazuya Koyama, Shoko Hayakawa
|
Low energy effective action on a self-gravitating D-brane
|
8 pages, minor corrections, accepted for publication in Physical
Review D
|
Phys.Rev.D69:123503,2004
|
10.1103/PhysRevD.69.123503
| null |
hep-th astro-ph gr-qc
| null |
Recently the study of braneworld on the self-gravitating D-brane has been
initiated and derived the gravitational equation on the brane by holographic
and geometrical projection methods. Surprisingly, in common with these two
methods, the matter on the brane cannot be the source of the gravity on the
brane at leading order. In this paper we will propose the low energy effective
action on the D-brane coupled with gravity which derives the same results.
|
[
{
"created": "Thu, 27 Nov 2003 08:03:31 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Mar 2004 23:14:02 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Onda",
"Sumitada",
""
],
[
"Shiromizu",
"Tetsuya",
""
],
[
"Koyama",
"Kazuya",
""
],
[
"Hayakawa",
"Shoko",
""
]
] |
Recently the study of braneworld on the self-gravitating D-brane has been initiated and derived the gravitational equation on the brane by holographic and geometrical projection methods. Surprisingly, in common with these two methods, the matter on the brane cannot be the source of the gravity on the brane at leading order. In this paper we will propose the low energy effective action on the D-brane coupled with gravity which derives the same results.
| 12.654098
| 12.012907
| 12.386859
| 11.126277
| 10.670515
| 10.097724
| 11.186243
| 11.790645
| 10.768656
| 12.944795
| 11.161212
| 11.354316
| 11.238519
| 10.905588
| 11.378209
| 11.228745
| 11.285798
| 10.757742
| 11.308631
| 11.475707
| 10.734278
|
hep-th/0606108
|
Murat Gunaydin
|
Sergio Ferrara and Murat Gunaydin
|
Orbits and Attractors for N=2 Maxwell-Einstein Supergravity Theories in
Five Dimensions
|
Added a footnote on notation and comments on the attactor nature of
non BPS solutions in section 5. Typos corrected. Version to appear in NPB.
Latex file, 24 pages
|
Nucl.Phys.B759:1-19,2006
|
10.1016/j.nuclphysb.2006.09.016
|
CERN-PH-TH/2006-107
|
hep-th
| null |
BPS and non-BPS orbits for extremal black-holes in N=2 Maxwell-Einstein
supergravity theories (MESGT) in five dimensions were classified long ago by
the present authors for the case of symmetric scalar manifolds. Motivated by
these results and some recent work on non-supersymmetric attractors we show
that attractor equations in N=2 MESGTs in d=5 do indeed possess the distinct
families of solutions with finite Bekenstein-Hawking entropy. The new non-BPS
solutions have non-vanishing central charge and matter charge which is
invariant under the maximal compact subgroup of the stabilizer of the non-BPS
orbit. Our analysis covers all symmetric space theories G/H such that G is a
symmetry of the action. These theories are in one-to-one correspondence with
(Euclidean) Jordan algebras of degree three. In the particular case of N=2
MESGT with scalar manifold SU*(6)/USp(6) a duality of the two solutions with
regard to N=2 and N=6 supergravity is also considered.
|
[
{
"created": "Mon, 12 Jun 2006 18:27:32 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 2006 17:37:41 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Gunaydin",
"Murat",
""
]
] |
BPS and non-BPS orbits for extremal black-holes in N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions were classified long ago by the present authors for the case of symmetric scalar manifolds. Motivated by these results and some recent work on non-supersymmetric attractors we show that attractor equations in N=2 MESGTs in d=5 do indeed possess the distinct families of solutions with finite Bekenstein-Hawking entropy. The new non-BPS solutions have non-vanishing central charge and matter charge which is invariant under the maximal compact subgroup of the stabilizer of the non-BPS orbit. Our analysis covers all symmetric space theories G/H such that G is a symmetry of the action. These theories are in one-to-one correspondence with (Euclidean) Jordan algebras of degree three. In the particular case of N=2 MESGT with scalar manifold SU*(6)/USp(6) a duality of the two solutions with regard to N=2 and N=6 supergravity is also considered.
| 9.538651
| 8.056014
| 10.43853
| 7.774934
| 8.271717
| 8.329911
| 7.903259
| 7.993971
| 8.2597
| 10.83535
| 7.980826
| 8.280582
| 9.028095
| 8.224958
| 8.140292
| 8.395029
| 8.424251
| 8.053328
| 8.267687
| 8.651285
| 8.17886
|
0808.2199
|
Carlos A. S. Almeida
|
M. O. Tahim, W. T. Cruz, and C. A. S. Almeida
|
Tensor gauge field localization in branes
|
12 pages, 8 figures. Abstract improved. Revised and enlarged version.
To appear in Physical Review D
|
Phys.Rev.D79:085022,2009
|
10.1103/PhysRevD.79.085022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we study localization of a Kalb-Ramond tensorial gauge field on
a membrane described by real scalar fields. The membrane is embedded in an
AdS-type five dimensional bulk space, which mimic a Randall-Sundrum scenario.
First, we consider a membrane described by only a single real scalar field. In
that scenarios we find that there is no localized tensorial zero mode. When we
take into account branes described by two real scalar fields with internal
structures, we obtain again a non-localized zero mode for a Kalb-Ramond
tensorial gauge field. After modifying our model of one single scalar field by
coupling the dilaton to the Kalb-Ramond field, we find that this result is
changed. Furthermore, we analyze Kaluza-Klein massive modes and resonance
structures.
|
[
{
"created": "Fri, 15 Aug 2008 20:33:03 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Apr 2009 01:42:09 GMT",
"version": "v2"
}
] |
2009-10-29
|
[
[
"Tahim",
"M. O.",
""
],
[
"Cruz",
"W. T.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] |
In this work we study localization of a Kalb-Ramond tensorial gauge field on a membrane described by real scalar fields. The membrane is embedded in an AdS-type five dimensional bulk space, which mimic a Randall-Sundrum scenario. First, we consider a membrane described by only a single real scalar field. In that scenarios we find that there is no localized tensorial zero mode. When we take into account branes described by two real scalar fields with internal structures, we obtain again a non-localized zero mode for a Kalb-Ramond tensorial gauge field. After modifying our model of one single scalar field by coupling the dilaton to the Kalb-Ramond field, we find that this result is changed. Furthermore, we analyze Kaluza-Klein massive modes and resonance structures.
| 10.337689
| 8.679917
| 9.919426
| 8.445328
| 8.504419
| 8.64639
| 8.563531
| 8.084391
| 7.868412
| 9.951573
| 8.367892
| 8.59438
| 9.375342
| 8.930773
| 8.9153
| 8.757428
| 8.778971
| 8.509315
| 8.810018
| 9.356601
| 8.660437
|
hep-th/9412012
|
My Account
|
Jorge Alfaro, Ricardo Medina and Luis F. Urrutia
|
The Itzykson-Zuber Integral for U(m|n)
|
Latex, 16 pages
|
J.Math.Phys. 36 (1995) 3085-3093
|
10.1063/1.531014
|
PUC-FIS 14, October 1994
|
hep-th
| null |
We compute the Itzykson-Zuber (IZ) integral for the superunitary group
U(m|n). As a consequence, we are able to find the non-zero correlations of
superunitary matrices
|
[
{
"created": "Fri, 2 Dec 1994 01:51:41 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Alfaro",
"Jorge",
""
],
[
"Medina",
"Ricardo",
""
],
[
"Urrutia",
"Luis F.",
""
]
] |
We compute the Itzykson-Zuber (IZ) integral for the superunitary group U(m|n). As a consequence, we are able to find the non-zero correlations of superunitary matrices
| 9.379505
| 6.528044
| 11.710278
| 8.365319
| 8.883825
| 7.363014
| 6.805517
| 7.568609
| 7.72522
| 10.165887
| 7.388293
| 8.31076
| 9.666515
| 9.198641
| 8.760603
| 8.783037
| 8.394337
| 8.696153
| 9.60544
| 10.216804
| 8.515047
|
2105.08068
|
Isabel Garcia Garcia
|
Patrick Draper, Isabel Garcia Garcia, and Benjamin Lillard
|
Bubble of nothing decays of unstable theories
|
references added; matches journal version
|
Phys.Rev.D 104 (2021) 12, L121701
|
10.1103/PhysRevD.104.L121701
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Theories with compact extra dimensions are sometimes unstable to decay into a
bubble of nothing -- an instability resulting in the destruction of spacetime.
We investigate the existence of these bubbles in theories where the moduli
fields that set the size of the extra dimensions are stabilized at a positive
vacuum energy -- a necessary ingredient of any theory that aspires to describe
the real world. Using bottom-up methods, and focusing on a five-dimensional toy
model, we show that four-dimensional de Sitter vacua admit bubbles of nothing
for a wide class of stabilizing potentials. We show that, unlike ordinary
Coleman-De Luccia tunneling, the corresponding decay rate remains non-zero in
the limit of vanishing vacuum energy. Potential implications include a lower
bound on the size of compactified dimensions.
|
[
{
"created": "Mon, 17 May 2021 18:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Dec 2021 23:23:28 GMT",
"version": "v2"
}
] |
2021-12-08
|
[
[
"Draper",
"Patrick",
""
],
[
"Garcia",
"Isabel Garcia",
""
],
[
"Lillard",
"Benjamin",
""
]
] |
Theories with compact extra dimensions are sometimes unstable to decay into a bubble of nothing -- an instability resulting in the destruction of spacetime. We investigate the existence of these bubbles in theories where the moduli fields that set the size of the extra dimensions are stabilized at a positive vacuum energy -- a necessary ingredient of any theory that aspires to describe the real world. Using bottom-up methods, and focusing on a five-dimensional toy model, we show that four-dimensional de Sitter vacua admit bubbles of nothing for a wide class of stabilizing potentials. We show that, unlike ordinary Coleman-De Luccia tunneling, the corresponding decay rate remains non-zero in the limit of vanishing vacuum energy. Potential implications include a lower bound on the size of compactified dimensions.
| 8.511829
| 7.629567
| 8.289479
| 7.411978
| 7.880053
| 7.230126
| 7.48984
| 7.387314
| 7.488892
| 8.596318
| 7.484053
| 7.70059
| 8.075259
| 7.668897
| 7.536492
| 7.649994
| 7.598217
| 7.52445
| 7.382922
| 7.891044
| 7.630042
|
1906.00061
|
Hesam Soltanpanahi
|
Loredana Bellantuono, Romuald A. Janik, Jakub Jankowski and Hesam
Soltanpanahi
|
Dynamics near a first order phase transition
|
Minor revisions, added references, 29 pages, 15 figures, comments are
more than welcome
|
JHEP 1910 (2019) 146
|
10.1007/JHEP10(2019)146
|
IPM/P-2019/017
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study various dynamical aspects of systems possessing a first order phase
transition in their phase diagram. We isolate three qualitatively distinct
types of theories depending on the structure of instabilities and the nature of
the low temperature phase. The non-equilibrium dynamics is modeled by a dual
gravitational theory in 3+1 dimension which is coupled to massive scalar field
with self interacting potential. By numerically solving the Einstein-matter
equations of motion with various initial configurations, we investigate the
structure of the final state arising through coalescence of phase domains. We
find that static phase domains, even quite narrow are very long lived and we
find a phenomenological equation for their lifetime. Within our framework we
also analyze moving phase domains and their collision as well as the effects of
spinodal instability and dynamical instability on an expanding boost invariant
plasma.
|
[
{
"created": "Fri, 31 May 2019 20:18:41 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2019 15:49:35 GMT",
"version": "v2"
}
] |
2019-11-05
|
[
[
"Bellantuono",
"Loredana",
""
],
[
"Janik",
"Romuald A.",
""
],
[
"Jankowski",
"Jakub",
""
],
[
"Soltanpanahi",
"Hesam",
""
]
] |
We study various dynamical aspects of systems possessing a first order phase transition in their phase diagram. We isolate three qualitatively distinct types of theories depending on the structure of instabilities and the nature of the low temperature phase. The non-equilibrium dynamics is modeled by a dual gravitational theory in 3+1 dimension which is coupled to massive scalar field with self interacting potential. By numerically solving the Einstein-matter equations of motion with various initial configurations, we investigate the structure of the final state arising through coalescence of phase domains. We find that static phase domains, even quite narrow are very long lived and we find a phenomenological equation for their lifetime. Within our framework we also analyze moving phase domains and their collision as well as the effects of spinodal instability and dynamical instability on an expanding boost invariant plasma.
| 15.284311
| 14.277168
| 13.947097
| 13.449486
| 14.666552
| 14.865811
| 14.449938
| 14.13866
| 13.337381
| 16.083389
| 14.21449
| 14.716336
| 14.162992
| 13.571551
| 13.840097
| 13.650921
| 13.900047
| 14.102769
| 13.705423
| 13.928511
| 13.864182
|
hep-th/9506031
| null |
J.D. Kim
|
Boundary Reflection Matrix for $ade$ Affine Toda Field Theory
|
20 pages, latex, typing errors corrected and a note added
| null |
10.1088/0305-4470/29/9/027
|
DTP/95-31
|
hep-th
| null |
We present a complete set of conjectures for the exact boundary reflection
matrix for $ade$ affine Toda field theory defined on a half line with the
Neumann boundary condition.
|
[
{
"created": "Tue, 6 Jun 1995 13:46:05 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jun 1995 20:42:21 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Kim",
"J. D.",
""
]
] |
We present a complete set of conjectures for the exact boundary reflection matrix for $ade$ affine Toda field theory defined on a half line with the Neumann boundary condition.
| 15.290052
| 7.879245
| 15.120744
| 7.55196
| 10.165702
| 6.737812
| 7.17937
| 8.542464
| 8.092242
| 16.980188
| 8.180465
| 10.227384
| 14.720729
| 10.667064
| 10.948235
| 10.050529
| 9.623101
| 10.18261
| 10.906485
| 13.81021
| 10.659986
|
hep-th/9904135
|
Justin Vazquez-Poritz
|
M. Cvetic, H, Lu and J.F. Vazquez-Poritz
|
Massive-Scalar Absorption by Extremal p-branes
|
Latex, 11 pages, reference added
|
Phys.Lett.B462:62-69,1999
|
10.1016/S0370-2693(99)00870-9
| null |
hep-th
| null |
We study the absorption probability of minimally-coupled massive scalars by
extremal p-branes. In particular, we find that the massive scalar wave equation
under the self-dual string background has the same form as the massless scalar
wave equation under the dyonic string background. Thus it can be cast into the
form of a modified Mathieu equation and solved exactly. Another example that we
can solve exactly is that of the D=4 two-charge black hole with equal charges,
for which we obtain the closed-form absorption probability. We also obtain the
leading-order absorption probabilities for D3-, M2- and M5-branes.
|
[
{
"created": "Tue, 20 Apr 1999 15:23:28 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Apr 1999 21:20:30 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Cvetic",
"M.",
""
],
[
"H",
"",
""
],
[
"Lu",
"",
""
],
[
"Vazquez-Poritz",
"J. F.",
""
]
] |
We study the absorption probability of minimally-coupled massive scalars by extremal p-branes. In particular, we find that the massive scalar wave equation under the self-dual string background has the same form as the massless scalar wave equation under the dyonic string background. Thus it can be cast into the form of a modified Mathieu equation and solved exactly. Another example that we can solve exactly is that of the D=4 two-charge black hole with equal charges, for which we obtain the closed-form absorption probability. We also obtain the leading-order absorption probabilities for D3-, M2- and M5-branes.
| 7.415697
| 6.073404
| 7.307242
| 6.172337
| 6.1751
| 6.096789
| 6.453317
| 6.113471
| 6.360758
| 7.456068
| 6.090278
| 6.29635
| 7.001914
| 6.320093
| 6.582449
| 6.342896
| 6.573325
| 6.148504
| 6.506124
| 7.087512
| 6.460249
|
1510.08872
|
David Kutasov
|
Amit Giveon and David Kutasov
|
Supersymmetric Renyi Entropy in $CFT_2$ and $AdS_3$
|
15 pages; v2: reference added
| null |
10.1007/JHEP01(2016)042
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that in any two dimensional conformal field theory with (2, 2)
supersymmetry one can define a supersymmetric analog of the usual Renyi entropy
of a spatial region A. It differs from the Renyi entropy by a universal
function (which we compute) of the central charge, Renyi parameter n and the
geometric parameters of A. In the limit $n \to1$ it coincides with the
entanglement entropy. Thus, it contains the same information as the Renyi
entropy but its computation only involves correlation functions of chiral and
anti-chiral operators. We also show that this quantity appears naturally in
string theory on $AdS_3$.
|
[
{
"created": "Thu, 29 Oct 2015 20:11:18 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Nov 2015 16:14:21 GMT",
"version": "v2"
}
] |
2016-02-17
|
[
[
"Giveon",
"Amit",
""
],
[
"Kutasov",
"David",
""
]
] |
We show that in any two dimensional conformal field theory with (2, 2) supersymmetry one can define a supersymmetric analog of the usual Renyi entropy of a spatial region A. It differs from the Renyi entropy by a universal function (which we compute) of the central charge, Renyi parameter n and the geometric parameters of A. In the limit $n \to1$ it coincides with the entanglement entropy. Thus, it contains the same information as the Renyi entropy but its computation only involves correlation functions of chiral and anti-chiral operators. We also show that this quantity appears naturally in string theory on $AdS_3$.
| 6.02256
| 6.343299
| 5.978594
| 5.507263
| 6.012952
| 5.681232
| 6.209801
| 5.589985
| 5.64698
| 6.634171
| 5.515713
| 5.429247
| 5.978954
| 5.760214
| 5.397575
| 5.37378
| 5.558394
| 5.510855
| 5.639065
| 5.981243
| 5.479989
|
hep-th/9803073
|
Ioannis Giannakis
|
Ioannis Giannakis, James T. Liu and Massimo Porrati
|
Supersymmetric Sum Rules for Electromagnetic Multipoles
|
10 pages, plain Tex
|
Phys.Rev. D58 (1998) 045016
|
10.1103/PhysRevD.58.045016
|
RU98-04-B, NYU-TH/98/03/01
|
hep-th hep-ph
| null |
We derive model independent, non-perturbative supersymmetric sum rules for
the magnetic and electric multipole moments of any theory with N=1
supersymmetry. We find that in any irreducible N=1 supermultiplet the diagonal
matrix elements of the l-multipole moments are completely fixed in terms of
their off-diagonal matrix elements and the diagonal (l-1)-multipole moments.
|
[
{
"created": "Mon, 9 Mar 1998 20:53:40 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Giannakis",
"Ioannis",
""
],
[
"Liu",
"James T.",
""
],
[
"Porrati",
"Massimo",
""
]
] |
We derive model independent, non-perturbative supersymmetric sum rules for the magnetic and electric multipole moments of any theory with N=1 supersymmetry. We find that in any irreducible N=1 supermultiplet the diagonal matrix elements of the l-multipole moments are completely fixed in terms of their off-diagonal matrix elements and the diagonal (l-1)-multipole moments.
| 7.839974
| 7.252851
| 8.55667
| 6.974254
| 7.914561
| 7.169191
| 9.068229
| 6.830333
| 7.499548
| 8.171627
| 6.607284
| 7.1812
| 7.670991
| 7.130528
| 7.35529
| 7.469478
| 6.91238
| 7.015289
| 7.003029
| 8.061161
| 7.064279
|
1510.08377
|
John Morris
|
J.R. Morris and A. Schulze-Halberg
|
Light wave propagation through a dilaton-Maxwell domain wall
|
9 pages
|
Phys.Rev. D92 (2015) 8, 085026
|
10.1103/PhysRevD.92.085026
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the propagation of electromagnetic waves through a
dilaton-Maxwell domain wall of the type introduced by Gibbons and Wells [G.W.
Gibbons and C.G. Wells, Class. Quant. Grav. 11, 2499-2506 (1994)]. It is found
that if such a wall exists within our observable universe, it would be absurdly
thick, or else have a magnetic field in its core which is much stronger than
observed intergalactic fields. We conclude that it is highly improbable that
any such wall is physically realized.
|
[
{
"created": "Wed, 28 Oct 2015 16:44:41 GMT",
"version": "v1"
}
] |
2015-10-29
|
[
[
"Morris",
"J. R.",
""
],
[
"Schulze-Halberg",
"A.",
""
]
] |
We consider the propagation of electromagnetic waves through a dilaton-Maxwell domain wall of the type introduced by Gibbons and Wells [G.W. Gibbons and C.G. Wells, Class. Quant. Grav. 11, 2499-2506 (1994)]. It is found that if such a wall exists within our observable universe, it would be absurdly thick, or else have a magnetic field in its core which is much stronger than observed intergalactic fields. We conclude that it is highly improbable that any such wall is physically realized.
| 7.734992
| 6.587982
| 7.850475
| 6.768278
| 6.609591
| 7.63777
| 7.146982
| 6.71761
| 7.047789
| 8.972712
| 6.80589
| 7.709391
| 7.719572
| 7.21849
| 7.399908
| 7.135192
| 7.57589
| 6.942551
| 7.399431
| 7.638711
| 7.163226
|
hep-th/9804061
|
Csaba Csaki
|
Csaba Csaki and Hitoshi Murayama (Berkeley)
|
Instantons in Partially Broken Gauge Groups
|
31 pages, LaTeX, 3 figures included
|
Nucl.Phys.B532:498-526,1998
|
10.1016/S0550-3213(98)00448-9
|
LBNL-41659, UCB-PTH-98/19
|
hep-th hep-ph
| null |
We discuss the effects of instantons in partially broken gauge groups on the
low-energy effective gauge theory. Such effects arise when some of the
instantons of the original gauge group G are no longer contained in (or can not
be gauge rotated into) the unbroken group H. In cases of simple G and H, a good
indicator for the existence of such instantons is the ``index of embedding.''
However, in the general case one has to examine \pi_3(G/H) to decide whether
there are any instantons in the broken part of the gauge group. We give several
examples of supersymmetric theories where such instantons exist and leave their
effects on the low-energy effective theory.
|
[
{
"created": "Wed, 8 Apr 1998 20:41:25 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Csaki",
"Csaba",
"",
"Berkeley"
],
[
"Murayama",
"Hitoshi",
"",
"Berkeley"
]
] |
We discuss the effects of instantons in partially broken gauge groups on the low-energy effective gauge theory. Such effects arise when some of the instantons of the original gauge group G are no longer contained in (or can not be gauge rotated into) the unbroken group H. In cases of simple G and H, a good indicator for the existence of such instantons is the ``index of embedding.'' However, in the general case one has to examine \pi_3(G/H) to decide whether there are any instantons in the broken part of the gauge group. We give several examples of supersymmetric theories where such instantons exist and leave their effects on the low-energy effective theory.
| 8.367192
| 8.318567
| 8.433149
| 7.749263
| 8.939451
| 8.397388
| 8.88887
| 8.119433
| 7.393322
| 8.889519
| 7.754325
| 7.833801
| 8.1296
| 7.93743
| 8.096443
| 7.88889
| 8.12035
| 8.108117
| 7.639855
| 7.990945
| 7.837934
|
1005.4915
|
Duminda Dahanayake
|
L. Borsten, D. Dahanayake, M. J. Duff, A. Marrani, W. Rubens
|
Four-qubit entanglement from string theory
|
4 pages, 1 figure, 2 tables, revtex; minor corrections, references
added
|
Phys.Rev.Lett.105:100507,2010
|
10.1103/PhysRevLett.105.100507
|
Imperial/TP/2010/mjd/2, SU-ITP-10/21
|
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We invoke the black hole/qubit correspondence to derive the classification of
four-qubit entanglement. The U-duality orbits resulting from timelike reduction
of string theory from D=4 to D=3 yield 31 entanglement families, which reduce
to nine up to permutation of the four qubits.
|
[
{
"created": "Wed, 26 May 2010 19:26:13 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jun 2010 18:27:56 GMT",
"version": "v2"
}
] |
2010-09-03
|
[
[
"Borsten",
"L.",
""
],
[
"Dahanayake",
"D.",
""
],
[
"Duff",
"M. J.",
""
],
[
"Marrani",
"A.",
""
],
[
"Rubens",
"W.",
""
]
] |
We invoke the black hole/qubit correspondence to derive the classification of four-qubit entanglement. The U-duality orbits resulting from timelike reduction of string theory from D=4 to D=3 yield 31 entanglement families, which reduce to nine up to permutation of the four qubits.
| 17.0313
| 12.951333
| 19.075605
| 13.492796
| 13.498108
| 13.474255
| 13.678873
| 11.300376
| 13.728244
| 19.649237
| 12.056946
| 14.45492
| 14.695274
| 13.267136
| 13.291416
| 13.477361
| 13.814228
| 13.732635
| 13.081436
| 15.57813
| 12.877175
|
1711.09949
|
Matthew Buican
|
Matthew Buican and Zoltan Laczko
|
Nonunitary Lagrangians and unitary non-Lagrangian conformal field
theories
|
7 pages; 1 appendix; v2: version to appear in PRL; minor typo
corrected; references added; title changed to conform to PRL guidelines (old
title: "A Non-Unitary Surprise")
|
Phys. Rev. Lett. 120, 081601 (2018)
|
10.1103/PhysRevLett.120.081601
|
QMUL-PH-17-28
|
hep-th math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In various dimensions, we can sometimes compute observables of interacting
conformal field theories (CFTs) that are connected to free theories via the
renormalization group (RG) flow by computing protected quantities in the free
theories. On the other hand, in two dimensions, it is often possible to
algebraically construct observables of interacting CFTs using free fields
without the need to explicitly construct an underlying RG flow. In this note,
we begin to extend this idea to higher dimensions by showing that one can
compute certain observables of an infinite set of unitary strongly interacting
four-dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) by
performing simple calculations involving sets of non-unitary free
four-dimensional hypermultiplets. These free fields are distant cousins of the
Majorana fermion underlying the two-dimensional Ising model and are not
obviously connected to our interacting theories via an RG flow. Rather
surprisingly, this construction gives us Lagrangians for particular observables
in certain subsectors of many "non-Lagrangian" SCFTs by sacrificing unitarity
while preserving the full $\mathcal{N}=2$ superconformal algebra. As a
byproduct, we find relations between characters in unitary and non-unitary
affine Kac-Moody algebras. We conclude by commenting on possible
generalizations of our construction.
|
[
{
"created": "Mon, 27 Nov 2017 19:47:39 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Feb 2018 10:03:28 GMT",
"version": "v2"
}
] |
2018-02-28
|
[
[
"Buican",
"Matthew",
""
],
[
"Laczko",
"Zoltan",
""
]
] |
In various dimensions, we can sometimes compute observables of interacting conformal field theories (CFTs) that are connected to free theories via the renormalization group (RG) flow by computing protected quantities in the free theories. On the other hand, in two dimensions, it is often possible to algebraically construct observables of interacting CFTs using free fields without the need to explicitly construct an underlying RG flow. In this note, we begin to extend this idea to higher dimensions by showing that one can compute certain observables of an infinite set of unitary strongly interacting four-dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) by performing simple calculations involving sets of non-unitary free four-dimensional hypermultiplets. These free fields are distant cousins of the Majorana fermion underlying the two-dimensional Ising model and are not obviously connected to our interacting theories via an RG flow. Rather surprisingly, this construction gives us Lagrangians for particular observables in certain subsectors of many "non-Lagrangian" SCFTs by sacrificing unitarity while preserving the full $\mathcal{N}=2$ superconformal algebra. As a byproduct, we find relations between characters in unitary and non-unitary affine Kac-Moody algebras. We conclude by commenting on possible generalizations of our construction.
| 5.888315
| 6.558297
| 7.158695
| 6.17852
| 6.459338
| 6.383621
| 6.358369
| 6.177887
| 6.354008
| 7.179686
| 6.032279
| 6.061112
| 6.246555
| 5.982076
| 6.021044
| 6.064445
| 5.865331
| 6.0741
| 6.094767
| 6.204518
| 6.029206
|
hep-th/9411074
| null |
J. Jezierski
|
Asymptotic Conformal Yano--Killing Tensors for Schwarzschild Metric
|
8 pages, latex, no figures
|
Class.Quant.Grav. 14 (1997) 1679-1688
|
10.1088/0264-9381/14/7/008
| null |
hep-th gr-qc
| null |
The asymptotic conformal Yano--Killing tensor proposed in J. Jezierski, On
the relation between metric and spin-2 formulation of linearized Einstein
theory [GRG, in print (1994)] is analyzed for Schwarzschild metric and tensor
equations defining this object are given. The result shows that the
Schwarzschild metric (and other metrics which are asymptotically
``Schwarzschildean'' up to O(1/r^2) at spatial infinity) is among the metrics
fullfilling stronger asymptotic conditions and supertranslations ambiguities
disappear. It is also clear from the result that 14 asymptotic gravitational
charges are well defined on the ``Schwarzschildean'' background.
|
[
{
"created": "Thu, 10 Nov 1994 12:07:21 GMT",
"version": "v1"
}
] |
2011-12-30
|
[
[
"Jezierski",
"J.",
""
]
] |
The asymptotic conformal Yano--Killing tensor proposed in J. Jezierski, On the relation between metric and spin-2 formulation of linearized Einstein theory [GRG, in print (1994)] is analyzed for Schwarzschild metric and tensor equations defining this object are given. The result shows that the Schwarzschild metric (and other metrics which are asymptotically ``Schwarzschildean'' up to O(1/r^2) at spatial infinity) is among the metrics fullfilling stronger asymptotic conditions and supertranslations ambiguities disappear. It is also clear from the result that 14 asymptotic gravitational charges are well defined on the ``Schwarzschildean'' background.
| 16.237822
| 17.412203
| 16.402302
| 14.434673
| 18.280392
| 17.578629
| 17.820593
| 14.919373
| 16.6896
| 15.1976
| 16.614534
| 15.308538
| 14.99326
| 14.494433
| 15.16847
| 15.186206
| 15.341827
| 14.907241
| 14.832924
| 14.608085
| 15.504459
|
2312.01976
|
Alexander Gorsky
|
Alexander Gorsky and Alexander Varchenko
|
Calogero-Moser eigenfunctions modulo $p^s$
|
24 pages
| null | null | null |
hep-th math-ph math.MP math.RT nlin.SI
|
http://creativecommons.org/licenses/by/4.0/
|
In this note we use the Matsuo-Cherednik duality between the solutions to KZ
equations
and eigenfunctions of Calogero-Moser Hamiltonians to get the polynomial
$p^s$-truncation of the
Calogero-Moser eigenfunctions at a rational coupling constant. The truncation
procedure
uses the integral representation for the hypergeometric solutions to KZ
equations.
The $s\rightarrow \infty$ limit to the pure $p$-adic case has been analyzed
in the $n=2$ case
|
[
{
"created": "Mon, 4 Dec 2023 15:44:04 GMT",
"version": "v1"
}
] |
2023-12-05
|
[
[
"Gorsky",
"Alexander",
""
],
[
"Varchenko",
"Alexander",
""
]
] |
In this note we use the Matsuo-Cherednik duality between the solutions to KZ equations and eigenfunctions of Calogero-Moser Hamiltonians to get the polynomial $p^s$-truncation of the Calogero-Moser eigenfunctions at a rational coupling constant. The truncation procedure uses the integral representation for the hypergeometric solutions to KZ equations. The $s\rightarrow \infty$ limit to the pure $p$-adic case has been analyzed in the $n=2$ case
| 10.87354
| 10.882495
| 13.776407
| 9.996615
| 10.824746
| 11.377151
| 10.022534
| 10.055208
| 9.786057
| 13.75029
| 9.829091
| 10.307674
| 11.182396
| 9.971069
| 10.104113
| 10.507018
| 10.222697
| 10.332901
| 10.074302
| 11.347124
| 9.586983
|
hep-th/0601107
|
Zoltan Bajnok
|
Z. Bajnok
|
Equivalences between spin models induced by defects
|
14 pages, 16 figures, LaTeX, Extended version
|
J.Stat.Mech.0606:P06010,2006
|
10.1088/1742-5468/2006/06/P06010
| null |
hep-th cond-mat.str-el math-ph math.MP
| null |
The spectrum of integrable spin chains are shown to be independent of the
ordering of their spins. As an application we introduce defects (local spin
inhomogeneities in homogenous chains) in two-boundary spin systems and, by
changing their locations, we show the spectral equivalence of different
boundary conditions. In particular we relate certain nondiagonal boundary
conditions to diagonal ones.
|
[
{
"created": "Mon, 16 Jan 2006 16:07:44 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2006 14:36:17 GMT",
"version": "v2"
},
{
"created": "Sun, 21 May 2006 11:49:07 GMT",
"version": "v3"
}
] |
2011-02-16
|
[
[
"Bajnok",
"Z.",
""
]
] |
The spectrum of integrable spin chains are shown to be independent of the ordering of their spins. As an application we introduce defects (local spin inhomogeneities in homogenous chains) in two-boundary spin systems and, by changing their locations, we show the spectral equivalence of different boundary conditions. In particular we relate certain nondiagonal boundary conditions to diagonal ones.
| 18.633408
| 16.265694
| 18.715887
| 15.956531
| 16.587589
| 17.306238
| 16.535423
| 17.010626
| 16.757202
| 18.735048
| 15.02247
| 14.985174
| 17.542067
| 15.909897
| 16.155422
| 15.669952
| 15.737652
| 15.224302
| 15.957899
| 17.637794
| 15.928638
|
0710.2593
|
Bin Chen
|
Bin Chen
|
The Self-dual String Soliton in AdS_4\times S^7 spacetime
|
15 pages;typos corrected, references added;published version
|
Eur.Phys.J.C54:489-494,2008
|
10.1140/epjc/s10052-008-0534-5
| null |
hep-th
| null |
We construct self-dual string soliton solutions in $AdS_4\times
S^7$ spacetime, starting from the covariant equations of motion of M5-brane.
We study the properties of the solutions and find that their action are
linearized, indicating the BPS nature of the solutions, and they have the same
electric and magnetic charge. The straight string soliton solution represents
the configuration of the membranes ending on M5-brane with a straight string
intersection, and it behaves like the spiky solution in flat spacetime. The
spherical string soliton solution, which could be related to the straight one
by a conformal transformation, represents the membranes ending on M5-brane with
a spherical intersection.
|
[
{
"created": "Sat, 13 Oct 2007 08:01:18 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Oct 2007 09:55:01 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Jan 2008 10:54:00 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Chen",
"Bin",
""
]
] |
We construct self-dual string soliton solutions in $AdS_4\times S^7$ spacetime, starting from the covariant equations of motion of M5-brane. We study the properties of the solutions and find that their action are linearized, indicating the BPS nature of the solutions, and they have the same electric and magnetic charge. The straight string soliton solution represents the configuration of the membranes ending on M5-brane with a straight string intersection, and it behaves like the spiky solution in flat spacetime. The spherical string soliton solution, which could be related to the straight one by a conformal transformation, represents the membranes ending on M5-brane with a spherical intersection.
| 7.735031
| 6.92154
| 8.290018
| 6.80838
| 7.324698
| 7.136376
| 6.623864
| 6.87788
| 6.641361
| 8.045405
| 6.920936
| 7.296979
| 7.907593
| 7.136747
| 7.267295
| 7.228291
| 7.132354
| 7.270567
| 7.353999
| 7.926567
| 7.065482
|
2207.10995
|
Hai-Qing Zhang
|
Zhi-Hong Li, Han-Qing Shi, Hai-Qing Zhang
|
From black hole to one-dimensional chain: parity symmetry breaking and
kink formation
|
12+5 pages; 4+3 figures; compatible with PRD version
|
Phys. Rev. D 108, 106015 (2023)
|
10.1103/PhysRevD.108.106015
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
AdS/CFT correspondence is a "first-principle" tool to study the strongly
coupled many-body systems. While it has been extensively applied to investigate
the continuous symmetry breaking dynamics, the discrete symmetry breaking
dynamics are rarely investigated. In this paper, the model of kink formation in
a strongly coupled one-dimensional chain is realized from the AdS/CFT
correspondence. In doing so, we first construct a model of real scalar fields
with parity symmetries in the AdS bulk. By quenching the system across the
critical point at a finite rate, kink hairs turn out in the bulk due to the
spontaneous parity symmetry breaking, which accomplishes a counter-example of
"no hair conjecture" of black hole. Due to the AdS/CFT correspondence, kink
hairs in the bulk are dual to the kinks in the AdS boundary. The mean of the
dual kink numbers are found to satisfy a universal power-law relation to the
quench rate, in agreement with the celebrated Kibble-Zurek mechanism. Moreover,
the higher cumulants of the kink numbers are proportional to the mean numbers,
consistent with the assumption that the formation of kinks satisfy the binomial
distributions which goes beyond the Kibble-Zurek mechanism.
|
[
{
"created": "Fri, 22 Jul 2022 10:28:13 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Nov 2022 13:56:05 GMT",
"version": "v2"
},
{
"created": "Sun, 21 May 2023 11:34:59 GMT",
"version": "v3"
},
{
"created": "Fri, 17 Nov 2023 03:41:54 GMT",
"version": "v4"
}
] |
2023-11-20
|
[
[
"Li",
"Zhi-Hong",
""
],
[
"Shi",
"Han-Qing",
""
],
[
"Zhang",
"Hai-Qing",
""
]
] |
AdS/CFT correspondence is a "first-principle" tool to study the strongly coupled many-body systems. While it has been extensively applied to investigate the continuous symmetry breaking dynamics, the discrete symmetry breaking dynamics are rarely investigated. In this paper, the model of kink formation in a strongly coupled one-dimensional chain is realized from the AdS/CFT correspondence. In doing so, we first construct a model of real scalar fields with parity symmetries in the AdS bulk. By quenching the system across the critical point at a finite rate, kink hairs turn out in the bulk due to the spontaneous parity symmetry breaking, which accomplishes a counter-example of "no hair conjecture" of black hole. Due to the AdS/CFT correspondence, kink hairs in the bulk are dual to the kinks in the AdS boundary. The mean of the dual kink numbers are found to satisfy a universal power-law relation to the quench rate, in agreement with the celebrated Kibble-Zurek mechanism. Moreover, the higher cumulants of the kink numbers are proportional to the mean numbers, consistent with the assumption that the formation of kinks satisfy the binomial distributions which goes beyond the Kibble-Zurek mechanism.
| 8.50183
| 8.57923
| 8.898126
| 8.327432
| 8.650139
| 8.917955
| 8.88838
| 7.898605
| 7.897717
| 9.124584
| 8.503298
| 8.320638
| 8.291169
| 8.352383
| 8.308296
| 8.100451
| 8.286929
| 8.186537
| 8.357244
| 8.550055
| 8.343712
|
0812.3503
|
Patrick K. S. Vaudrevange
|
Patrick K.S. Vaudrevange
|
Grand Unification in the Heterotic Brane World
|
134 pages, Ph.D. Thesis (Advisor: Hans Peter Nilles)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The compactification of the heterotic string on six-dimensional orbifolds is
reviewed. Some important technical aspects of their construction are clarified
and new parameters, called generalized discrete torsion, are introduced and
related to the torsionless construction. Furthermore, a systematic search for
MSSM-like models is performed in the context of Z6-II orbifolds, addressing
questions like the identification of a supersymmetric vacuum with a naturally
small mu-term and proton decay. Finally, the blow-up of Z3 singularities is
discussed in the local and in the global case - also in the presence of Wilson
lines. This procedure is exemplified with the resolution of a Z3 MSSM
candidate.
|
[
{
"created": "Thu, 18 Dec 2008 17:13:20 GMT",
"version": "v1"
}
] |
2008-12-19
|
[
[
"Vaudrevange",
"Patrick K. S.",
""
]
] |
The compactification of the heterotic string on six-dimensional orbifolds is reviewed. Some important technical aspects of their construction are clarified and new parameters, called generalized discrete torsion, are introduced and related to the torsionless construction. Furthermore, a systematic search for MSSM-like models is performed in the context of Z6-II orbifolds, addressing questions like the identification of a supersymmetric vacuum with a naturally small mu-term and proton decay. Finally, the blow-up of Z3 singularities is discussed in the local and in the global case - also in the presence of Wilson lines. This procedure is exemplified with the resolution of a Z3 MSSM candidate.
| 12.844692
| 12.832078
| 12.327355
| 11.561413
| 12.230557
| 11.473584
| 13.793895
| 11.292954
| 11.510786
| 12.93512
| 11.844591
| 11.478619
| 11.898077
| 11.271508
| 11.870156
| 11.969626
| 12.412892
| 11.611983
| 11.420157
| 11.910086
| 11.537433
|
1906.11034
|
Marcus Spradlin
|
Luke Lippstreu, Jorge Mago, Marcus Spradlin, Anastasia Volovich
|
Weak Separation, Positivity and Extremal Yangian Invariants
|
19 pages, 7 figures; v2: minor changes
| null |
10.1007/JHEP09(2019)093
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We classify all positive n-particle N^kMHV Yangian invariants in N=4
Yang-Mills theory with n=5k, which we call extremal because none exist for
n>5k. We show that this problem is equivalent to that of enumerating plane
cactus graphs with k pentagons. We use the known solution of that problem to
provide an exact expression for the number of cyclic classes of such invariants
for any k, and a simple rule for writing them down explicitly. As a byproduct,
we provide an alternative (but equivalent) classification by showing that a
product of k five-brackets with disjoint sets of indices is a positive Yangian
invariant if and only if the sets are all weakly separated.
|
[
{
"created": "Wed, 26 Jun 2019 12:37:20 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Oct 2019 14:58:21 GMT",
"version": "v2"
}
] |
2019-10-09
|
[
[
"Lippstreu",
"Luke",
""
],
[
"Mago",
"Jorge",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
We classify all positive n-particle N^kMHV Yangian invariants in N=4 Yang-Mills theory with n=5k, which we call extremal because none exist for n>5k. We show that this problem is equivalent to that of enumerating plane cactus graphs with k pentagons. We use the known solution of that problem to provide an exact expression for the number of cyclic classes of such invariants for any k, and a simple rule for writing them down explicitly. As a byproduct, we provide an alternative (but equivalent) classification by showing that a product of k five-brackets with disjoint sets of indices is a positive Yangian invariant if and only if the sets are all weakly separated.
| 12.331962
| 13.382239
| 13.538015
| 10.716862
| 13.25868
| 13.338284
| 13.882586
| 11.877163
| 11.97654
| 12.720876
| 11.533403
| 11.629471
| 12.249388
| 11.221862
| 11.271289
| 11.111453
| 10.841006
| 11.002965
| 10.696575
| 11.49614
| 11.089093
|
hep-th/0605033
|
Xavier Calmet
|
Xavier Calmet
|
Symmetries, Microcausality and Physics on Canonical Noncommutative
Spacetime
|
6 pages, to appear in the proceedings of 40th Rencontres de Moriond,
Electroweak Interactions and Unified Theories, March 11 - 18, 2006; v2: minor
typos corrected, one reference added
|
Proceedings of the XLIst Rencontres de Moriond, La Thuile, Italy,
March 11-March 18, 2006. Eds. J.M. Frere, J. Tran Thanh Van and G. Unal, 2006
Electroweak Interactions and Unified Theories, pub. The Gioi, Vietnam, pp.
233-238, 2006.
| null | null |
hep-th hep-ph math-ph math.MP
| null |
In this paper we describe how to implement symmetries on a canonical
noncommutative spacetime. We focus on noncommutative Lorentz transformations.
We then discuss the structure of the light cone on a canonical noncommutative
spacetime and show that field theories formulated on these spaces do not
violate mircocausality.
|
[
{
"created": "Wed, 3 May 2006 09:33:34 GMT",
"version": "v1"
},
{
"created": "Tue, 9 May 2006 14:27:31 GMT",
"version": "v2"
}
] |
2008-04-23
|
[
[
"Calmet",
"Xavier",
""
]
] |
In this paper we describe how to implement symmetries on a canonical noncommutative spacetime. We focus on noncommutative Lorentz transformations. We then discuss the structure of the light cone on a canonical noncommutative spacetime and show that field theories formulated on these spaces do not violate mircocausality.
| 9.171018
| 6.953943
| 7.042615
| 6.959922
| 7.200328
| 6.958413
| 7.460568
| 7.348222
| 7.18758
| 8.735893
| 7.013843
| 7.099855
| 7.515903
| 7.248791
| 7.541407
| 7.368544
| 7.441484
| 7.43301
| 7.43306
| 7.428776
| 7.601305
|
hep-th/0209015
|
Norma Sanchez
|
Norma G. Sanchez
|
Advances in String Theory in Curved Space Times
|
Chalonge School Lectures on Astrofundamental Physics, 9th Course 7-18
September 2002, To appear in the Proceedings, NATO ASI Series edited by N.G.
Sanchez and Yu. Parijskij, Kluwer Pub
| null | null | null |
hep-th astro-ph gr-qc hep-ph
| null |
String Quantum Gravity is motivated and introduced. Advances in the study of
the classical and quantum string dynamics in curved spacetime are reported:
1-New Classes of Exact Multistring solutions in curved spacetimes. 2-Mass
spectrum of Strings in Curved Spacetimes. 3-The effect of a Cosmological
Constant and of Spacial Curvature on Classical and Quantum Strings. 4-Classical
splitting of Fundamental Strings. 5-The General String Evolution in constant
Curvature Spacetimes. 6-The Conformal Invariance Effects.
|
[
{
"created": "Mon, 2 Sep 2002 12:36:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sanchez",
"Norma G.",
""
]
] |
String Quantum Gravity is motivated and introduced. Advances in the study of the classical and quantum string dynamics in curved spacetime are reported: 1-New Classes of Exact Multistring solutions in curved spacetimes. 2-Mass spectrum of Strings in Curved Spacetimes. 3-The effect of a Cosmological Constant and of Spacial Curvature on Classical and Quantum Strings. 4-Classical splitting of Fundamental Strings. 5-The General String Evolution in constant Curvature Spacetimes. 6-The Conformal Invariance Effects.
| 13.165949
| 12.143476
| 12.777236
| 11.42457
| 10.941588
| 10.928227
| 11.74244
| 11.558167
| 11.472404
| 12.367193
| 11.099424
| 11.690911
| 11.802299
| 11.387931
| 11.695587
| 11.829364
| 11.93842
| 12.00832
| 11.642652
| 11.955061
| 11.92943
|
1112.3498
|
Vladimir Dobrev
|
V. K. Dobrev
|
Group-Theoretical Classification of BPS States in D=4 Conformal
Supersymmetry: the Case of (1/N)-BPS
|
LATEX2e, 8 pages, Plenary talk at the International Workshop
'Supersymmetries and Quantum Symmetries', Dubna, 18-23.7.2011, to appear in
the Proceedings, editors Evgeny Ivanov et al
|
Phys.Part.Nucl. 43 (2012) 616-620
|
10.1134/S1063779612050103
| null |
hep-th math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In an earlier paper we gave the complete group-theoretical classification of
BPS states of the N-extended D=4 conformal superalgebras su(2,2/N), but not all
interesting cases were given in detail. In the present paper we spell out the
interesting case of (1/N)-BPS and possibly protected states.
|
[
{
"created": "Thu, 15 Dec 2011 12:46:49 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Dobrev",
"V. K.",
""
]
] |
In an earlier paper we gave the complete group-theoretical classification of BPS states of the N-extended D=4 conformal superalgebras su(2,2/N), but not all interesting cases were given in detail. In the present paper we spell out the interesting case of (1/N)-BPS and possibly protected states.
| 13.930407
| 12.18356
| 15.544512
| 11.150977
| 11.567826
| 13.317648
| 12.541333
| 11.073432
| 11.566561
| 18.166643
| 11.284534
| 11.466512
| 13.418645
| 11.82674
| 11.875227
| 11.201488
| 11.706268
| 12.104156
| 11.805772
| 12.674149
| 11.31078
|
1508.00491
|
Yan Zhang
|
Kevin Iga, Yan X. Zhang
|
Structural Theory of 2-d Adinkras
|
24 pages
| null | null | null |
hep-th math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Adinkras are combinatorial objects developed to study 1-dimensional
supersymmetry representations. Recently, 2-d Adinkras have been developed to
study 2-dimensional supersymmetry. In this paper, we classify all 2-d Adinkras,
confirming a conjecture of T. H\"ubsch. Along the way, we obtain other
structural results, including a simple characterization of H\"ubsch's
even-split doubly even code.
|
[
{
"created": "Mon, 3 Aug 2015 17:02:56 GMT",
"version": "v1"
}
] |
2015-08-04
|
[
[
"Iga",
"Kevin",
""
],
[
"Zhang",
"Yan X.",
""
]
] |
Adinkras are combinatorial objects developed to study 1-dimensional supersymmetry representations. Recently, 2-d Adinkras have been developed to study 2-dimensional supersymmetry. In this paper, we classify all 2-d Adinkras, confirming a conjecture of T. H\"ubsch. Along the way, we obtain other structural results, including a simple characterization of H\"ubsch's even-split doubly even code.
| 7.118153
| 7.631022
| 6.883357
| 6.554401
| 7.076849
| 7.581721
| 7.659014
| 6.467422
| 6.932611
| 8.319519
| 6.30457
| 6.239536
| 6.571496
| 6.06064
| 6.3268
| 6.093469
| 6.402932
| 6.672846
| 6.044528
| 6.858578
| 6.236977
|
2101.02884
|
Severin Barmeier
|
Severin Barmeier and Koushik Ray
|
Learning scattering amplitudes by heart
|
18 pages, 6 figures, LaTeX2e, final version
|
Physics Letters B 820 (2021) 136594
|
10.1016/j.physletb.2021.136594
| null |
hep-th hep-ph math-ph math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The canonical forms associated to scattering amplitudes of planar Feynman
diagrams are interpreted in terms of masses of projectives, defined as the
modulus of their central charges, in the hearts of certain $t$-structures of
derived categories of quiver representations and, equivalently, in terms of
cluster tilting objects of the corresponding cluster categories.
|
[
{
"created": "Fri, 8 Jan 2021 07:26:15 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Feb 2021 05:58:36 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Aug 2021 05:43:37 GMT",
"version": "v3"
},
{
"created": "Wed, 1 Sep 2021 04:10:11 GMT",
"version": "v4"
}
] |
2021-09-02
|
[
[
"Barmeier",
"Severin",
""
],
[
"Ray",
"Koushik",
""
]
] |
The canonical forms associated to scattering amplitudes of planar Feynman diagrams are interpreted in terms of masses of projectives, defined as the modulus of their central charges, in the hearts of certain $t$-structures of derived categories of quiver representations and, equivalently, in terms of cluster tilting objects of the corresponding cluster categories.
| 15.974264
| 15.967871
| 17.080872
| 13.825898
| 14.533685
| 13.890397
| 14.75398
| 13.865284
| 12.940488
| 19.246992
| 14.028188
| 13.610869
| 13.783172
| 13.316309
| 14.071425
| 13.946372
| 13.580205
| 14.162324
| 13.47401
| 14.850029
| 13.770976
|
1712.01985
|
Frederik Denef
|
Frederik Denef, Shamit Kachru, Zimo Sun, Arnav Tripathy
|
Higher genus Siegel forms and multi-center black holes in N=4
supersymmetric string theory
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We conjecture that the Fourier coefficients of a degree three Siegel form,
$1/\sqrt{\chi_{18}}$, count the degeneracy of three-center BPS bound states in
type II string theory compactified on $K3 \times T^2$. We provide evidence for
our conjecture in the form of consistency with physical considerations of
wall-crossing, holographic bounds, and the appearance of suitable counting
functions (involving the inverse of the modular discriminant $\Delta$ and the
inverse of the Igusa cusp form $\Phi_{10}$) in limits where the count
degenerates to involve single-center or two-center objects.
|
[
{
"created": "Wed, 6 Dec 2017 00:49:46 GMT",
"version": "v1"
}
] |
2017-12-07
|
[
[
"Denef",
"Frederik",
""
],
[
"Kachru",
"Shamit",
""
],
[
"Sun",
"Zimo",
""
],
[
"Tripathy",
"Arnav",
""
]
] |
We conjecture that the Fourier coefficients of a degree three Siegel form, $1/\sqrt{\chi_{18}}$, count the degeneracy of three-center BPS bound states in type II string theory compactified on $K3 \times T^2$. We provide evidence for our conjecture in the form of consistency with physical considerations of wall-crossing, holographic bounds, and the appearance of suitable counting functions (involving the inverse of the modular discriminant $\Delta$ and the inverse of the Igusa cusp form $\Phi_{10}$) in limits where the count degenerates to involve single-center or two-center objects.
| 12.436546
| 10.150636
| 13.115786
| 9.221158
| 9.875697
| 10.089839
| 10.035397
| 10.407829
| 9.247675
| 14.92298
| 9.447532
| 9.326431
| 11.096617
| 9.316311
| 9.527454
| 10.193574
| 9.460459
| 9.55338
| 9.595583
| 10.861861
| 9.521509
|
1512.02835
|
Hironori Mori
|
Hironori Mori and Akinori Tanaka
|
Varieties of Abelian mirror symmetry on $\mathbb{RP}^2 \times
\mathbb{S}^1$
|
24 pages; v2: reference added; v3: formulas modified, comments added,
a reference added, and published in JHEP
|
JHEP 1602 (2016) 088
|
10.1007/JHEP02(2016)088
|
OU-HET 884, RIKEN-STAMP-21
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study 3d mirror symmetry with loop operators, Wilson loop and Vortex loop,
and multi-flavor mirror symmetry through utilizing the $\mathbb{RP}^2 \times
\mathbb{S}^1$ index formula. The key identity which makes the above description
work well is the mod 2 version of the Fourier analysis, and we study such
structure, the S-operation in the context of a SL$(2,\mathbb{Z})$ action on 3d
SCFTs. We observed that two types of the parity conditions basically associated
with gauge symmetries which we call $\mathcal{P}$-type and $\mathcal{CP}$-type
are interchanged under mirror symmetry. We will also comment on the
T-operation.
|
[
{
"created": "Wed, 9 Dec 2015 12:34:29 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Dec 2015 02:46:46 GMT",
"version": "v2"
},
{
"created": "Mon, 30 May 2016 09:07:05 GMT",
"version": "v3"
}
] |
2016-05-31
|
[
[
"Mori",
"Hironori",
""
],
[
"Tanaka",
"Akinori",
""
]
] |
We study 3d mirror symmetry with loop operators, Wilson loop and Vortex loop, and multi-flavor mirror symmetry through utilizing the $\mathbb{RP}^2 \times \mathbb{S}^1$ index formula. The key identity which makes the above description work well is the mod 2 version of the Fourier analysis, and we study such structure, the S-operation in the context of a SL$(2,\mathbb{Z})$ action on 3d SCFTs. We observed that two types of the parity conditions basically associated with gauge symmetries which we call $\mathcal{P}$-type and $\mathcal{CP}$-type are interchanged under mirror symmetry. We will also comment on the T-operation.
| 14.43859
| 14.830142
| 16.858145
| 13.814623
| 13.174445
| 13.956531
| 14.704453
| 13.830963
| 13.7258
| 17.955048
| 13.623486
| 13.485782
| 15.164233
| 13.496159
| 13.800448
| 13.520359
| 13.620394
| 13.760975
| 13.479398
| 14.60589
| 13.654176
|
hep-th/0307228
|
Nitsan Aizenshtark
|
Nitsan Aizenshtark
|
Quasiexactly Solvable Potentails
|
M.Sc. Research Thesis. 77 pages, 17 figures
| null | null | null |
hep-th quant-ph
| null |
For quasiexactly solvable (QES) potentials a certain number of wave functions
and energy levels can be analytically calculated. The complexity of an explicit
calculation of the energy levels grows with the dimension of the QES sector.
For a class of such systems the generating function of the secular polynomials
is also an initial condition solution of the Schr\"odinger equation. This
generating function is used to obtain approximate energy levels in the limit of
a large QES sector. This new method combines the WKB approximation with the
saddle point approximation.
|
[
{
"created": "Wed, 23 Jul 2003 13:04:43 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Aizenshtark",
"Nitsan",
""
]
] |
For quasiexactly solvable (QES) potentials a certain number of wave functions and energy levels can be analytically calculated. The complexity of an explicit calculation of the energy levels grows with the dimension of the QES sector. For a class of such systems the generating function of the secular polynomials is also an initial condition solution of the Schr\"odinger equation. This generating function is used to obtain approximate energy levels in the limit of a large QES sector. This new method combines the WKB approximation with the saddle point approximation.
| 9.864517
| 9.663896
| 11.104647
| 9.026
| 10.65301
| 10.617718
| 9.772292
| 10.589771
| 8.94327
| 10.841678
| 9.910295
| 8.952936
| 9.099528
| 8.680633
| 8.548903
| 8.751708
| 8.858643
| 8.833745
| 8.84892
| 8.745104
| 8.840205
|
hep-th/9208040
|
Cobi Sonnenschein
|
O. Aharony, O. Ganor, J. Sonnenschein and S. Yankielowicz
|
On the twisted G/H topological models
|
27 pages
|
Nucl.Phys.B399:560-580,1993
|
10.1016/0550-3213(93)90509-N
|
TAUP-1990-92
|
hep-th
| null |
The twisted G/H models are constructed as twisted supersymmetric gauged WZW
models. We analyze the case of $G=SU(N)$, $H=SU(N_1)\times ...\times
SU(N_n)\times U(1)^r$ with $rank\ G =\ rank\ H$, and discuss possible
generalizations. We introduce a non-abelian bosonization of the $(1,0)$ ghost
system in the adjoint of $H$ and in G/H. By computing chiral anomalies in the
latter picture we write the quantum action as a decoupled sum of ``matter",
gauge and ghost sectors. The action is also derived in the unbosonized version.
We invoke a free field parametrization and extract the space of physical states
by computing the cohomology of $Q$ , the sum of the BRST gauge-fixing charge
and the twisted supersymmetry charge. For a given $G$ we briefly discuss the
relation between the various G/H models corresponding to different choices of
$H$. The choice $H=G$ corresponds to the topological G/G theory.
|
[
{
"created": "Thu, 13 Aug 1992 23:55:00 GMT",
"version": "v1"
}
] |
2009-09-29
|
[
[
"Aharony",
"O.",
""
],
[
"Ganor",
"O.",
""
],
[
"Sonnenschein",
"J.",
""
],
[
"Yankielowicz",
"S.",
""
]
] |
The twisted G/H models are constructed as twisted supersymmetric gauged WZW models. We analyze the case of $G=SU(N)$, $H=SU(N_1)\times ...\times SU(N_n)\times U(1)^r$ with $rank\ G =\ rank\ H$, and discuss possible generalizations. We introduce a non-abelian bosonization of the $(1,0)$ ghost system in the adjoint of $H$ and in G/H. By computing chiral anomalies in the latter picture we write the quantum action as a decoupled sum of ``matter", gauge and ghost sectors. The action is also derived in the unbosonized version. We invoke a free field parametrization and extract the space of physical states by computing the cohomology of $Q$ , the sum of the BRST gauge-fixing charge and the twisted supersymmetry charge. For a given $G$ we briefly discuss the relation between the various G/H models corresponding to different choices of $H$. The choice $H=G$ corresponds to the topological G/G theory.
| 9.533503
| 9.239072
| 10.078006
| 9.168825
| 9.052357
| 9.661145
| 9.360753
| 9.254647
| 9.013804
| 10.858568
| 9.567955
| 9.344748
| 9.764713
| 9.215462
| 8.803175
| 9.09915
| 8.909671
| 9.195463
| 8.794184
| 9.934652
| 9.20504
|
hep-th/0310131
|
Jesper Jacobsen
|
Vladimir S Dotsenko, Jesper Lykke Jacobsen, Raoul Santachiara
|
Parafermionic theory with the symmetry Z_N, for N even
| null |
Nucl.Phys. B679 (2004) 464-494
|
10.1016/j.nuclphysb.2003.11.019
| null |
hep-th cond-mat
| null |
Following our previous papers (hep-th/0212158 and hep-th/0303126) we complete
the construction of the parafermionic theory with the symmetry Z_N based on the
second solution of Fateev-Zamolodchikov for the corresponding parafermionic
chiral algebra. In the present paper we construct the Z_N parafermionic theory
for N even. Primary operators are classified according to their transformation
properties under the dihedral group (Z_N x Z_2, where Z_2 stands for the Z_N
charge conjugation), as two singlets, doublet 1,2,...,N/2-1, and a disorder
operator. In an assumed Coulomb gas scenario, the corresponding vertex
operators are accommodated by the Kac table based on the weight lattice of the
Lie algebra D_{N/2}. The unitary theories are representations of the coset
SO_n(N) x SO_2(N) / SO_{n+2}(N), with n=1,2,.... We suggest that physically
they realise the series of multicritical points in statistical systems having a
Z_N symmetry.
|
[
{
"created": "Tue, 14 Oct 2003 13:59:45 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Dotsenko",
"Vladimir S",
""
],
[
"Jacobsen",
"Jesper Lykke",
""
],
[
"Santachiara",
"Raoul",
""
]
] |
Following our previous papers (hep-th/0212158 and hep-th/0303126) we complete the construction of the parafermionic theory with the symmetry Z_N based on the second solution of Fateev-Zamolodchikov for the corresponding parafermionic chiral algebra. In the present paper we construct the Z_N parafermionic theory for N even. Primary operators are classified according to their transformation properties under the dihedral group (Z_N x Z_2, where Z_2 stands for the Z_N charge conjugation), as two singlets, doublet 1,2,...,N/2-1, and a disorder operator. In an assumed Coulomb gas scenario, the corresponding vertex operators are accommodated by the Kac table based on the weight lattice of the Lie algebra D_{N/2}. The unitary theories are representations of the coset SO_n(N) x SO_2(N) / SO_{n+2}(N), with n=1,2,.... We suggest that physically they realise the series of multicritical points in statistical systems having a Z_N symmetry.
| 9.147513
| 9.581723
| 10.179276
| 8.816993
| 8.507161
| 9.636505
| 8.836092
| 8.989141
| 8.836202
| 11.6113
| 9.10113
| 8.993819
| 9.347809
| 9.03403
| 8.998723
| 8.77229
| 9.045259
| 9.101265
| 8.929423
| 9.273396
| 8.88872
|
2406.12151
|
Zhengdi Sun
|
Da-Chuan Lu, Zhengdi Sun, Zipei Zhang
|
Exploring $G$-ality defects in 2-dim QFTs
|
82 pages, 4 figures, 6 tables
| null | null | null |
hep-th cond-mat.str-el math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The Tambara-Yamagami (TY) fusion category symmetry
$\text{TY}(\mathbb{A},\chi,\epsilon)$ describes the enhanced non-invertible
self-duality symmetry of a $2$-dim QFT under gauging a finite Abelian group
$\mathbb{A}$. We generalize the enhanced non-invertible symmetries by
considering twisted gauging which allows stacking $\mathbb{A}$-SPT before and
after the gauging. Such non-invertible symmetries correspond to invertible
anyon permutation symmetries of the $3$-dim SymTFT. Consider a finite group $G$
formed by (un)twisted gaugings of $\mathbb{A}$, a $2$-dim QFT invariant under
topological manipulations in $G$ admits non-invertible $\textit{$G$-ality
defects}$. We study the classification and the physical implication of the
$G$-ality defects using SymTFT and the group-theoretical fusion categories,
with three concrete examples. 1) Triality with $\mathbb{A} = \mathbb{Z}_N
\times \mathbb{Z}_N$ where $N$ is coprime with $3$. The classification is
acquired previously by Jordan and Larson where the data is similar to the
$\text{TY}$ fusion categories, and we determine the anomaly of these fusion
categories. 2) $p$-ality with $\mathbb{A} = \mathbb{Z}_p \times \mathbb{Z}_p$
where $p$ is an odd prime. We consider two such categories
$\mathcal{P}_{\pm,m}$ which are distinguished by different choices of the
symmetry fractionalization, a new data that does not appear in the TY
classification, and show that they have distinct anomaly structures and spin
selection rules. 3) $S_3$-ality with $\mathbb{A} = \mathbb{Z}_N \times
\mathbb{Z}_N$. We study their classification explicitly for $N < 20$ via
SymTFT, and provide a group-theoretical construction for certain $N$. We find
$N=5$ is the minimal $N$ to admit an $S_3$-ality and $N=11$ is the minimal $N$
to admit a group-theoretical $S_3$-ality.
|
[
{
"created": "Mon, 17 Jun 2024 23:44:21 GMT",
"version": "v1"
}
] |
2024-06-19
|
[
[
"Lu",
"Da-Chuan",
""
],
[
"Sun",
"Zhengdi",
""
],
[
"Zhang",
"Zipei",
""
]
] |
The Tambara-Yamagami (TY) fusion category symmetry $\text{TY}(\mathbb{A},\chi,\epsilon)$ describes the enhanced non-invertible self-duality symmetry of a $2$-dim QFT under gauging a finite Abelian group $\mathbb{A}$. We generalize the enhanced non-invertible symmetries by considering twisted gauging which allows stacking $\mathbb{A}$-SPT before and after the gauging. Such non-invertible symmetries correspond to invertible anyon permutation symmetries of the $3$-dim SymTFT. Consider a finite group $G$ formed by (un)twisted gaugings of $\mathbb{A}$, a $2$-dim QFT invariant under topological manipulations in $G$ admits non-invertible $\textit{$G$-ality defects}$. We study the classification and the physical implication of the $G$-ality defects using SymTFT and the group-theoretical fusion categories, with three concrete examples. 1) Triality with $\mathbb{A} = \mathbb{Z}_N \times \mathbb{Z}_N$ where $N$ is coprime with $3$. The classification is acquired previously by Jordan and Larson where the data is similar to the $\text{TY}$ fusion categories, and we determine the anomaly of these fusion categories. 2) $p$-ality with $\mathbb{A} = \mathbb{Z}_p \times \mathbb{Z}_p$ where $p$ is an odd prime. We consider two such categories $\mathcal{P}_{\pm,m}$ which are distinguished by different choices of the symmetry fractionalization, a new data that does not appear in the TY classification, and show that they have distinct anomaly structures and spin selection rules. 3) $S_3$-ality with $\mathbb{A} = \mathbb{Z}_N \times \mathbb{Z}_N$. We study their classification explicitly for $N < 20$ via SymTFT, and provide a group-theoretical construction for certain $N$. We find $N=5$ is the minimal $N$ to admit an $S_3$-ality and $N=11$ is the minimal $N$ to admit a group-theoretical $S_3$-ality.
| 6.760604
| 6.760691
| 7.283037
| 6.467742
| 7.23793
| 6.699529
| 6.548202
| 6.41039
| 6.4237
| 7.208105
| 6.400603
| 6.504112
| 6.469658
| 6.394322
| 6.410637
| 6.529562
| 6.531539
| 6.375548
| 6.409077
| 6.961057
| 6.412396
|
2402.03297
|
Gustavo Joaquin Turiaci
|
Yiming Chen, Sameer Murthy, Gustavo J. Turiaci
|
Gravitational index of the heterotic string
|
45pp; typos corrected
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The fundamental heterotic string has a tower of BPS states whose
supersymmetric index has an exponential growth in the charges. We construct the
saddle-point of the gravitational path integral corresponding to this index.
The saddle-point configuration is a supersymmetric rotating non-extremal
Euclidean black hole. This configuration is singular in the two-derivative
theory. We show that the addition of higher-derivative terms in
four-dimensional $N=2$ supergravity resolves the singularity. In doing so, we
extend the recently-developed "new attractor mechanism" to include the effect
of higher-derivative terms. Remarkably, the one-loop, four-derivative F-term
contribution to the prepotential leads to a precise match of the gravitational
and microscopic index. We also comment, using the effective theory near the
horizon, on the possibility of a string-size near-extremal black hole. Our
results clarify the meaning of different descriptions of this system in the
literature. The thermal state transitions to a winding condensate and a gas of
strings without ever reaching a small black hole, while the index is captured
by the rotating Euclidean black hole solution and is constant and thus smoothly
connected to the microscopic ensemble.
|
[
{
"created": "Mon, 5 Feb 2024 18:54:08 GMT",
"version": "v1"
},
{
"created": "Wed, 22 May 2024 15:31:28 GMT",
"version": "v2"
}
] |
2024-05-24
|
[
[
"Chen",
"Yiming",
""
],
[
"Murthy",
"Sameer",
""
],
[
"Turiaci",
"Gustavo J.",
""
]
] |
The fundamental heterotic string has a tower of BPS states whose supersymmetric index has an exponential growth in the charges. We construct the saddle-point of the gravitational path integral corresponding to this index. The saddle-point configuration is a supersymmetric rotating non-extremal Euclidean black hole. This configuration is singular in the two-derivative theory. We show that the addition of higher-derivative terms in four-dimensional $N=2$ supergravity resolves the singularity. In doing so, we extend the recently-developed "new attractor mechanism" to include the effect of higher-derivative terms. Remarkably, the one-loop, four-derivative F-term contribution to the prepotential leads to a precise match of the gravitational and microscopic index. We also comment, using the effective theory near the horizon, on the possibility of a string-size near-extremal black hole. Our results clarify the meaning of different descriptions of this system in the literature. The thermal state transitions to a winding condensate and a gas of strings without ever reaching a small black hole, while the index is captured by the rotating Euclidean black hole solution and is constant and thus smoothly connected to the microscopic ensemble.
| 11.298107
| 11.539223
| 13.056767
| 10.62232
| 11.852404
| 11.840795
| 10.99821
| 10.186286
| 10.960131
| 13.46547
| 10.612164
| 10.901505
| 11.619491
| 11.51555
| 11.208105
| 11.179053
| 10.995502
| 11.184236
| 11.005205
| 11.790122
| 10.933596
|
2301.06598
|
Amjad Ashoorioon
|
Amjad Ashoorioon and Kazem Rezazadeh
|
Transient Acceleration after Non-minimal M-flation Preheating
|
v1: 21 pages, 13 figures v2: 24 pages, title changed following the
referee's advice, some changes here and there, matched the JCAP version
|
JCAP07 (2023) 028
|
10.1088/1475-7516/2023/07/028
|
IPM/P-2023/05
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Light massive preheat fields acquire a non-vanishing dispersion during
parametric resonance from their quantum particle production. This in turn will
modify the inflaton potential, which in some cases can induce a transient
period of acceleration. We illustrate this phenomenon in the setup of
non-supersymmetric non-minimal M-flation (non-$\mathbb{M}$-flation) which has
some motivations from the brane compactifications in string theory.
Implementing a lattice simulation by the LATTICEEASY code, we compute the
potential correction term in our scenario and show that the modified term
indeed causes the universe to make a transition from the decelerated expansion
to a temporary phase of acceleration. The correction term reduces to some
extent the number density of the particles generated during preheating, but the
efficiency of preheating remains still enough to have successful particle
production after inflation. We also compute the spectrum of the gravitational
waves (GWs) generated during preheating in our setup by using the LATTICEEASY
code. Although the peak frequency remains almost the same, the inclusion of the
correction term reduces the amplitude of the gravitational spectrum by almost
one order of magnitude.
|
[
{
"created": "Mon, 16 Jan 2023 20:32:22 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Jul 2023 11:16:25 GMT",
"version": "v2"
}
] |
2023-07-18
|
[
[
"Ashoorioon",
"Amjad",
""
],
[
"Rezazadeh",
"Kazem",
""
]
] |
Light massive preheat fields acquire a non-vanishing dispersion during parametric resonance from their quantum particle production. This in turn will modify the inflaton potential, which in some cases can induce a transient period of acceleration. We illustrate this phenomenon in the setup of non-supersymmetric non-minimal M-flation (non-$\mathbb{M}$-flation) which has some motivations from the brane compactifications in string theory. Implementing a lattice simulation by the LATTICEEASY code, we compute the potential correction term in our scenario and show that the modified term indeed causes the universe to make a transition from the decelerated expansion to a temporary phase of acceleration. The correction term reduces to some extent the number density of the particles generated during preheating, but the efficiency of preheating remains still enough to have successful particle production after inflation. We also compute the spectrum of the gravitational waves (GWs) generated during preheating in our setup by using the LATTICEEASY code. Although the peak frequency remains almost the same, the inclusion of the correction term reduces the amplitude of the gravitational spectrum by almost one order of magnitude.
| 11.007953
| 12.45767
| 11.605401
| 10.711515
| 12.253206
| 11.220819
| 11.716824
| 11.361366
| 10.729322
| 12.216973
| 11.211048
| 11.354529
| 10.502252
| 10.201075
| 10.650667
| 11.114762
| 11.165228
| 10.70145
| 10.121452
| 10.685482
| 10.515244
|
1906.08616
|
Daniel Harlow
|
Daniel Harlow, Jie-qiang Wu
|
Covariant phase space with boundaries
|
61 pages, two figures. v2: improved referencing v3: minor
improvements and references added v4: Journal version, minor clarifications
and discussion of the initial value problem added
| null |
10.1007/JHEP10(2020)146
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The covariant phase space method of Iyer, Lee, Wald, and Zoupas gives an
elegant way to understand the Hamiltonian dynamics of Lagrangian field theories
without breaking covariance. The original literature however does not
systematically treat total derivatives and boundary terms, which has led to
some confusion about how exactly to apply the formalism in the presence of
boundaries. In particular the original construction of the canonical
Hamiltonian relies on the assumed existence of a certain boundary quantity
"$B$", whose physical interpretation has not been clear. We here give an
algorithmic procedure for applying the covariant phase space formalism to field
theories with spatial boundaries, from which the term in the Hamiltonian
involving $B$ emerges naturally. Our procedure also produces an additional
boundary term, which was not present in the original literature and which so
far has only appeared implicitly in specific examples, and which is already
nonvanishing even in general relativity with sufficiently permissive boundary
conditions. The only requirement we impose is that at solutions of the
equations of motion the action is stationary modulo future/past boundary terms
under arbitrary variations obeying the spatial boundary conditions; from this
the symplectic structure and the Hamiltonian for any diffeomorphism that
preserves the theory are unambiguously constructed. We show in examples that
the Hamiltonian so constructed agrees with previous results. We also show that
the Poisson bracket on covariant phase space directly coincides with the
Peierls bracket, without any need for non-covariant intermediate steps, and we
discuss possible implications for the entropy of dynamical black hole horizons.
|
[
{
"created": "Thu, 20 Jun 2019 13:45:47 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jun 2019 19:31:33 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jul 2020 01:07:48 GMT",
"version": "v3"
},
{
"created": "Tue, 22 Sep 2020 20:01:43 GMT",
"version": "v4"
}
] |
2020-12-02
|
[
[
"Harlow",
"Daniel",
""
],
[
"Wu",
"Jie-qiang",
""
]
] |
The covariant phase space method of Iyer, Lee, Wald, and Zoupas gives an elegant way to understand the Hamiltonian dynamics of Lagrangian field theories without breaking covariance. The original literature however does not systematically treat total derivatives and boundary terms, which has led to some confusion about how exactly to apply the formalism in the presence of boundaries. In particular the original construction of the canonical Hamiltonian relies on the assumed existence of a certain boundary quantity "$B$", whose physical interpretation has not been clear. We here give an algorithmic procedure for applying the covariant phase space formalism to field theories with spatial boundaries, from which the term in the Hamiltonian involving $B$ emerges naturally. Our procedure also produces an additional boundary term, which was not present in the original literature and which so far has only appeared implicitly in specific examples, and which is already nonvanishing even in general relativity with sufficiently permissive boundary conditions. The only requirement we impose is that at solutions of the equations of motion the action is stationary modulo future/past boundary terms under arbitrary variations obeying the spatial boundary conditions; from this the symplectic structure and the Hamiltonian for any diffeomorphism that preserves the theory are unambiguously constructed. We show in examples that the Hamiltonian so constructed agrees with previous results. We also show that the Poisson bracket on covariant phase space directly coincides with the Peierls bracket, without any need for non-covariant intermediate steps, and we discuss possible implications for the entropy of dynamical black hole horizons.
| 9.029857
| 10.19449
| 9.50313
| 9.15927
| 9.338611
| 9.944413
| 10.214946
| 9.323077
| 9.402607
| 10.522589
| 8.934613
| 8.519618
| 9.210851
| 8.925303
| 9.027073
| 8.696338
| 8.952452
| 8.859232
| 8.896605
| 9.141217
| 8.717545
|
hep-th/0311024
|
Timothy J. Hollowood
|
Harry W. Braden and Timothy J. Hollowood
|
The Curve of Compactified 6D Gauge Theories and Integrable Systems
|
22 pages, JHEP3, 4 figures, improved readility of figures, added
references
|
JHEP 0312 (2003) 023
|
10.1088/1126-6708/2003/12/023
| null |
hep-th
| null |
We analyze the Seiberg-Witten curve of the six-dimensional N=(1,1) gauge
theory compactified on a torus to four dimensions. The effective theory in four
dimensions is a deformation of the N=2* theory. The curve is naturally
holomorphically embedding in a slanted four-torus--actually an abelian
surface--a set-up that is natural in Witten's M-theory construction of N=2
theories. We then show that the curve can be interpreted as the spectral curve
of an integrable system which generalizes the N-body elliptic Calogero-Moser
and Ruijsenaars-Schneider systems in that both the positions and momenta take
values in compact spaces. It turns out that the resulting system is not simply
doubly elliptic, rather the positions and momenta, as two-vectors, take values
in the ambient abelian surface. We analyze the two-body system in some detail.
The system we uncover provides a concrete realization of a Beauville-Mukai
system based on an abelian surface rather than a K3 surface.
|
[
{
"created": "Tue, 4 Nov 2003 18:17:15 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Nov 2003 11:11:07 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Braden",
"Harry W.",
""
],
[
"Hollowood",
"Timothy J.",
""
]
] |
We analyze the Seiberg-Witten curve of the six-dimensional N=(1,1) gauge theory compactified on a torus to four dimensions. The effective theory in four dimensions is a deformation of the N=2* theory. The curve is naturally holomorphically embedding in a slanted four-torus--actually an abelian surface--a set-up that is natural in Witten's M-theory construction of N=2 theories. We then show that the curve can be interpreted as the spectral curve of an integrable system which generalizes the N-body elliptic Calogero-Moser and Ruijsenaars-Schneider systems in that both the positions and momenta take values in compact spaces. It turns out that the resulting system is not simply doubly elliptic, rather the positions and momenta, as two-vectors, take values in the ambient abelian surface. We analyze the two-body system in some detail. The system we uncover provides a concrete realization of a Beauville-Mukai system based on an abelian surface rather than a K3 surface.
| 7.515448
| 7.809158
| 9.13537
| 6.938128
| 7.973944
| 7.843007
| 7.819242
| 7.453398
| 7.439472
| 9.611327
| 7.308296
| 7.423611
| 7.764386
| 7.364347
| 7.434861
| 7.269764
| 7.184002
| 7.388052
| 7.513091
| 7.76026
| 7.466394
|
1807.05058
|
Parthajit Biswas
|
Sayantani Bhattacharyya, Parthajit Biswas, Milan Patra
|
A leading-order comparison between fluid-gravity and membrane-gravity
dualities
|
minor corrections
| null |
10.1007/JHEP05(2019)022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we have compared two different perturbation techniques that are
used to generate dynamical black-brane solutions to Einstein equation in
presence of negative cosmological constant. One is the `derivative expansion',
where the gravity solutions are in one-to-one correspondence with the solutions
of relativistic Navier-Stokes equation. The second is the expansion in terms of
inverse power of space-time dimensions and here the gravity solutions are dual
to a co-dimension one dynamical membrane, embedded in AdS space and coupled to
a velocity field. We have shown that in large number of space-time dimensions,
there exists an overlap regime between these two perturbation techniques and we
matched the two gravity solutions along with their dual systems upto the first
non-trivial order in the expansion parameter on both sides. In the process, we
established a one-to-one map between dynamical black-brane geometry and the AdS
space, which exists even when the number of dimensions is finite.
|
[
{
"created": "Fri, 13 Jul 2018 13:25:00 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Feb 2019 06:04:02 GMT",
"version": "v2"
}
] |
2019-05-22
|
[
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Biswas",
"Parthajit",
""
],
[
"Patra",
"Milan",
""
]
] |
In this note, we have compared two different perturbation techniques that are used to generate dynamical black-brane solutions to Einstein equation in presence of negative cosmological constant. One is the `derivative expansion', where the gravity solutions are in one-to-one correspondence with the solutions of relativistic Navier-Stokes equation. The second is the expansion in terms of inverse power of space-time dimensions and here the gravity solutions are dual to a co-dimension one dynamical membrane, embedded in AdS space and coupled to a velocity field. We have shown that in large number of space-time dimensions, there exists an overlap regime between these two perturbation techniques and we matched the two gravity solutions along with their dual systems upto the first non-trivial order in the expansion parameter on both sides. In the process, we established a one-to-one map between dynamical black-brane geometry and the AdS space, which exists even when the number of dimensions is finite.
| 9.811508
| 8.345945
| 10.099269
| 8.29981
| 7.910645
| 8.355214
| 8.271439
| 8.447845
| 8.278293
| 9.6457
| 8.621686
| 8.660217
| 9.28417
| 8.790128
| 8.756145
| 8.987872
| 8.791924
| 8.668203
| 8.735589
| 9.366615
| 9.013585
|
2012.03964
|
Sungwoo Hong
|
Sungwoo Hong and Gabriele Rigo
|
Anomaly Inflow and Holography
|
34+17 pages
| null |
10.1007/JHEP05(2021)072
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We systematically study the anomaly inflow by the bulk Chern-Simons (CS)
theory in a slice of five-dimensional anti-de Sitter spacetime
($\text{AdS}_5$). The introduction of UV and IR 3-branes makes the anomaly
story remarkably rich and many interesting aspects can be obtained, including
weakly gauging and spontaneous symmetry breaking of the global symmetries of
the dual 4D CFT. Our main contribution is to provide a unified and
comprehensive discussion of the subject, together with a detailed description
of the dual CFT picture for each case. Employing a gauge-fixed effective action
suitable for a holographic study, we reproduce many known results in the
literature, such as 't Hooft anomaly matching for unbroken symmetry (Neumann
IR-BC) and (gauged) Wess-Zumino-Witten (WZW) action for broken symmetry (IR-BC
breaks the bulk group $G \to H$). In addition, we show that anomaly matching
occurs for ABJ anomalies as well as 't Hooft anomalies, which suggests
anomalies inflowed from the bulk CS theory are necessarily free of mixed
anomalies with the confining gauge force of the 4D dual CFT. In the case of
broken symmetry, we prove that the "would-be" Goldstone bosons associated with
the weakly gauged symmetry are completely removed by a proper field
redefinition, provided the anomaly from the bulk is exactly cancelled by the
boundary contribution, hence confirming the standard expectation. Moreover, we
present a holographic formulation of Witten's argument for the quantization
condition for the WZW action, and argue in favor of an alternative way to
obtain the same condition using a "deformed" theory (different BCs). We work
out several examples, including a product group with mixed anomaly, and
identify the corresponding dual CFT picture. We consider a fully general case
typically arising in the context of dynamical electroweak symmetry breaking.
|
[
{
"created": "Mon, 7 Dec 2020 19:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 2021 19:28:59 GMT",
"version": "v2"
}
] |
2021-06-04
|
[
[
"Hong",
"Sungwoo",
""
],
[
"Rigo",
"Gabriele",
""
]
] |
We systematically study the anomaly inflow by the bulk Chern-Simons (CS) theory in a slice of five-dimensional anti-de Sitter spacetime ($\text{AdS}_5$). The introduction of UV and IR 3-branes makes the anomaly story remarkably rich and many interesting aspects can be obtained, including weakly gauging and spontaneous symmetry breaking of the global symmetries of the dual 4D CFT. Our main contribution is to provide a unified and comprehensive discussion of the subject, together with a detailed description of the dual CFT picture for each case. Employing a gauge-fixed effective action suitable for a holographic study, we reproduce many known results in the literature, such as 't Hooft anomaly matching for unbroken symmetry (Neumann IR-BC) and (gauged) Wess-Zumino-Witten (WZW) action for broken symmetry (IR-BC breaks the bulk group $G \to H$). In addition, we show that anomaly matching occurs for ABJ anomalies as well as 't Hooft anomalies, which suggests anomalies inflowed from the bulk CS theory are necessarily free of mixed anomalies with the confining gauge force of the 4D dual CFT. In the case of broken symmetry, we prove that the "would-be" Goldstone bosons associated with the weakly gauged symmetry are completely removed by a proper field redefinition, provided the anomaly from the bulk is exactly cancelled by the boundary contribution, hence confirming the standard expectation. Moreover, we present a holographic formulation of Witten's argument for the quantization condition for the WZW action, and argue in favor of an alternative way to obtain the same condition using a "deformed" theory (different BCs). We work out several examples, including a product group with mixed anomaly, and identify the corresponding dual CFT picture. We consider a fully general case typically arising in the context of dynamical electroweak symmetry breaking.
| 9.997566
| 10.283629
| 10.333079
| 10.149842
| 10.600148
| 10.711394
| 10.933881
| 10.21759
| 9.965448
| 11.226596
| 9.606586
| 9.803705
| 9.847384
| 9.843948
| 10.181743
| 10.005905
| 9.957362
| 10.135081
| 10.180211
| 10.501287
| 9.923308
|
hep-th/0612028
|
Mauricio Romo
|
Rodrigo Aros, Mauricio Romo and Nelson Zamorano
|
Conformal Gravity from AdS/CFT mechanism
|
Revtex 8 pages, To be published in Phys. Rev. D
|
Phys.Rev.D75:067501,2007
|
10.1103/PhysRevD.75.067501
| null |
hep-th
| null |
We explicitly calculate the induced gravity theory at the boundary of an
asymptotically Anti-de Sitter five dimensional Einstein gravity. We also
display the action that encodes the dynamics of radial diffeomorphisms. It is
found that the induced theory is a four dimensional conformal gravity plus a
scalar field. This calculation confirms some previous results found by a
different approach.
|
[
{
"created": "Mon, 4 Dec 2006 19:03:27 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Feb 2007 18:49:23 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Aros",
"Rodrigo",
""
],
[
"Romo",
"Mauricio",
""
],
[
"Zamorano",
"Nelson",
""
]
] |
We explicitly calculate the induced gravity theory at the boundary of an asymptotically Anti-de Sitter five dimensional Einstein gravity. We also display the action that encodes the dynamics of radial diffeomorphisms. It is found that the induced theory is a four dimensional conformal gravity plus a scalar field. This calculation confirms some previous results found by a different approach.
| 10.708825
| 10.093386
| 10.170509
| 9.927911
| 9.782547
| 9.131989
| 9.712156
| 9.380346
| 9.485869
| 11.03259
| 9.536402
| 9.731003
| 9.983968
| 9.671615
| 9.662589
| 9.33697
| 9.891382
| 9.793017
| 9.570755
| 10.165167
| 9.190685
|
1206.0289
|
Marcelo B. Hott
|
Angel E. Obispo, Marcelo Hott
|
Fractional fermion charges induced by vector-axial and vector gauge
potentials in planar graphene-like structures
|
19 pages, 1 figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that fermion charge fractionalization can take place in a recently
proposed chiral gauge model for graphene even in the absence of Kekul\'e
distortion of the graphene honeycomb lattice. We extend the model by adding the
coupling of fermions to an external magnetic field and show that the fermion
charge can be fractionalized by means of only gauge potentials. It is shown
that the chiral fermion charge can also have fractional value. We also relate
the fractionalization of the fermion charge to the parity anomaly in an
extended Quantum Electrodynamics which involves vector and vector-axial gauge
fields.
|
[
{
"created": "Fri, 1 Jun 2012 19:45:17 GMT",
"version": "v1"
}
] |
2012-06-04
|
[
[
"Obispo",
"Angel E.",
""
],
[
"Hott",
"Marcelo",
""
]
] |
We show that fermion charge fractionalization can take place in a recently proposed chiral gauge model for graphene even in the absence of Kekul\'e distortion of the graphene honeycomb lattice. We extend the model by adding the coupling of fermions to an external magnetic field and show that the fermion charge can be fractionalized by means of only gauge potentials. It is shown that the chiral fermion charge can also have fractional value. We also relate the fractionalization of the fermion charge to the parity anomaly in an extended Quantum Electrodynamics which involves vector and vector-axial gauge fields.
| 8.941236
| 7.908028
| 8.96097
| 7.775424
| 8.158605
| 8.529056
| 8.190933
| 8.716308
| 8.654869
| 9.533599
| 8.122169
| 7.955037
| 8.583157
| 8.104171
| 7.905663
| 7.728621
| 7.693569
| 7.8899
| 8.132275
| 8.61391
| 8.06642
|
1404.4437
|
PyungSeong Kwon
|
Eun Kyung Park and Pyung Seong Kwon
|
Towards the core of the cosmological constant problem
|
Final version (typos all fixed)
|
PTEP 2016 (2016) 013B05
|
10.1093/ptep/ptv182
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply a new self-tuning mechanism to the well-known
Kachru-Kallosh-Linde-Trivedi (KKLT) model to address the cosmological constant
problem. In this mechanism the cosmological constant $\lambda$ contains a
supersymmetry breaking term ${\mathcal E}_{\rm SB}$ besides the usual scalar
potential ${\mathcal V}_{\rm scalar}$ of the $N=1$ supergravity, which is
distinguished from the usual theories where $\lambda$ is directly identified
with ${\mathcal V}_{\rm scalar}$ alone. Also in this mechanism, whether
$\lambda$ vanishes or not is basically determined by the tensor structure of
the scalar potential density, not by the zero or nonzero values of the scalar
potential itself. As a result of this application we find that the natural
scenario for the vanishing $\lambda$ of the present universe is to take one of
the AdS (rather than dS) vacua of KKLT as the background vacuum of our present
universe. This AdS vacuum scenario has more nice properties as compared with dS
vacua of the usual flux compctifications. The background vacuum is stable both
classically and quantum mechanically (no tunneling instabilities), and the
value $\lambda =0$ is also stable against quantum corrections because in this
scenario the perturbative corrections of ${\mathcal V}_{\rm scalar}$ and
quantum fluctuations $\delta_Q {\hat I}_{\rm brane}^{(NS)} + \delta_Q {\hat
I}_{\rm brane}^{(R)}$ on the branes are all gauged away by an automatic
cancelation between ${\mathcal V}_{\rm scalar} + \delta_Q {\hat I}_{\rm
brane}^{(NS)} + \delta_Q {\hat I}_{\rm brane}^{(R)}$ and ${\mathcal E}_{\rm
SB}$.
|
[
{
"created": "Thu, 17 Apr 2014 07:35:07 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2014 03:55:36 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Dec 2014 09:56:03 GMT",
"version": "v3"
},
{
"created": "Fri, 24 Jul 2015 04:36:05 GMT",
"version": "v4"
},
{
"created": "Mon, 7 Dec 2015 08:09:24 GMT",
"version": "v5"
},
{
"created": "Mon, 14 Dec 2015 07:14:29 GMT",
"version": "v6"
}
] |
2016-03-15
|
[
[
"Park",
"Eun Kyung",
""
],
[
"Kwon",
"Pyung Seong",
""
]
] |
We apply a new self-tuning mechanism to the well-known Kachru-Kallosh-Linde-Trivedi (KKLT) model to address the cosmological constant problem. In this mechanism the cosmological constant $\lambda$ contains a supersymmetry breaking term ${\mathcal E}_{\rm SB}$ besides the usual scalar potential ${\mathcal V}_{\rm scalar}$ of the $N=1$ supergravity, which is distinguished from the usual theories where $\lambda$ is directly identified with ${\mathcal V}_{\rm scalar}$ alone. Also in this mechanism, whether $\lambda$ vanishes or not is basically determined by the tensor structure of the scalar potential density, not by the zero or nonzero values of the scalar potential itself. As a result of this application we find that the natural scenario for the vanishing $\lambda$ of the present universe is to take one of the AdS (rather than dS) vacua of KKLT as the background vacuum of our present universe. This AdS vacuum scenario has more nice properties as compared with dS vacua of the usual flux compctifications. The background vacuum is stable both classically and quantum mechanically (no tunneling instabilities), and the value $\lambda =0$ is also stable against quantum corrections because in this scenario the perturbative corrections of ${\mathcal V}_{\rm scalar}$ and quantum fluctuations $\delta_Q {\hat I}_{\rm brane}^{(NS)} + \delta_Q {\hat I}_{\rm brane}^{(R)}$ on the branes are all gauged away by an automatic cancelation between ${\mathcal V}_{\rm scalar} + \delta_Q {\hat I}_{\rm brane}^{(NS)} + \delta_Q {\hat I}_{\rm brane}^{(R)}$ and ${\mathcal E}_{\rm SB}$.
| 5.964655
| 6.23168
| 6.148557
| 5.878527
| 6.311428
| 6.306937
| 6.327069
| 5.977083
| 5.672488
| 6.197547
| 5.536488
| 5.832744
| 5.744153
| 5.738223
| 5.843546
| 5.853267
| 5.742478
| 5.696354
| 5.688739
| 5.898726
| 5.739054
|
1810.02169
|
Tetsuji Kimura
|
Tetsuji Kimura, Shin Sasaki, Kenta Shiozawa
|
Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension
Two
|
46 pages, version published in JHEP
|
JHEP 12 (2018) 095
|
10.1007/JHEP12(2018)095
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish a double dualization in two-dimensional supersymmetric gauge
theory. We construct a gauged linear sigma model (GLSM) which contains a
complex twisted linear superfield coupled to two sets of Abelian vector
superfields. In the IR regime, the GLSM provides a string sigma model whose
target spaces are a defect NS5-brane, a Kaluza-Klein vortex and an exotic
$5^2_2$-brane. All of them are five-branes of codimension two and are related
by T-duality. This model is a natural extension of the GLSM proposed by Tong
which gives a sigma model for an H-monopole, i.e., a smeared NS5-brane of
codimension three. This is also regarded as an alternative system of the GLSM
for exotic five-branes proposed by the present authors. In this analysis, we
confirm that the T-duality transformation procedure in terms of the complex
twisted linear superfield is applicable to dualize both the real and imaginary
parts of the twisted chiral superfield even at the UV level, beyond the IR
limit. This indicates that the T-duality transformations at finite gauge
couplings can be performed in terms of reducible superfields in the same way as
irreducible (twisted) chiral superfields. Furthermore, we study quantum vortex
corrections to the GLSM at the UV level. In the IR limit, these corrections are
mapped to string worldsheet instanton corrections to the five-branes of
codimension two. The result completely agrees with those in double field theory
analysis.
|
[
{
"created": "Thu, 4 Oct 2018 12:20:48 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2018 11:40:24 GMT",
"version": "v2"
}
] |
2018-12-19
|
[
[
"Kimura",
"Tetsuji",
""
],
[
"Sasaki",
"Shin",
""
],
[
"Shiozawa",
"Kenta",
""
]
] |
We establish a double dualization in two-dimensional supersymmetric gauge theory. We construct a gauged linear sigma model (GLSM) which contains a complex twisted linear superfield coupled to two sets of Abelian vector superfields. In the IR regime, the GLSM provides a string sigma model whose target spaces are a defect NS5-brane, a Kaluza-Klein vortex and an exotic $5^2_2$-brane. All of them are five-branes of codimension two and are related by T-duality. This model is a natural extension of the GLSM proposed by Tong which gives a sigma model for an H-monopole, i.e., a smeared NS5-brane of codimension three. This is also regarded as an alternative system of the GLSM for exotic five-branes proposed by the present authors. In this analysis, we confirm that the T-duality transformation procedure in terms of the complex twisted linear superfield is applicable to dualize both the real and imaginary parts of the twisted chiral superfield even at the UV level, beyond the IR limit. This indicates that the T-duality transformations at finite gauge couplings can be performed in terms of reducible superfields in the same way as irreducible (twisted) chiral superfields. Furthermore, we study quantum vortex corrections to the GLSM at the UV level. In the IR limit, these corrections are mapped to string worldsheet instanton corrections to the five-branes of codimension two. The result completely agrees with those in double field theory analysis.
| 8.201585
| 8.328781
| 9.020327
| 8.166816
| 8.434198
| 8.443979
| 8.009556
| 8.268364
| 8.117293
| 9.743193
| 8.016896
| 8.252426
| 8.27245
| 7.925615
| 7.999331
| 7.968262
| 7.910564
| 7.994871
| 8.013789
| 8.425986
| 8.045793
|
1702.06928
|
Yuta Hamada
|
Yuta Hamada, Min-Seok Seo, Gary Shiu
|
Memory in de Sitter space and BMS-like supertranslations
|
19 pages, 1 figures, published version
|
Phys. Rev. D 96, 023509 (2017)
|
10.1103/PhysRevD.96.023509
|
MAD-TH-17-01
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known that the memory effect in flat spacetime is parametrized by
the BMS supertranslation. We investigate the relation between the memory effect
and diffeomorphism in de Sitter spacetime. We find that gravitational memory is
parametrized by a BMS-like supertranslation in the static patch of de Sitter
spacetime. We also show a diffeomorphism that corresponds to gravitational
memory in the Poincare/cosmological patch. Our method does not need to assume
the separation between the source and the detector to be small compared with
the Hubble radius, and can potentially be applicable to other FLRW universes,
as well as "ordinary memory" mediated by massive messenger particles.
|
[
{
"created": "Wed, 22 Feb 2017 18:25:59 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jun 2017 17:03:00 GMT",
"version": "v2"
}
] |
2017-07-14
|
[
[
"Hamada",
"Yuta",
""
],
[
"Seo",
"Min-Seok",
""
],
[
"Shiu",
"Gary",
""
]
] |
It is well known that the memory effect in flat spacetime is parametrized by the BMS supertranslation. We investigate the relation between the memory effect and diffeomorphism in de Sitter spacetime. We find that gravitational memory is parametrized by a BMS-like supertranslation in the static patch of de Sitter spacetime. We also show a diffeomorphism that corresponds to gravitational memory in the Poincare/cosmological patch. Our method does not need to assume the separation between the source and the detector to be small compared with the Hubble radius, and can potentially be applicable to other FLRW universes, as well as "ordinary memory" mediated by massive messenger particles.
| 7.358614
| 7.014803
| 7.400468
| 6.226573
| 6.752833
| 6.706144
| 6.958475
| 6.298481
| 6.779918
| 6.77812
| 6.977099
| 6.397453
| 6.35605
| 6.113837
| 6.295882
| 6.322157
| 6.398225
| 6.433493
| 6.284195
| 6.30314
| 6.582048
|
hep-th/9805108
|
Jan Ambjorn
|
J. Ambjorn and R. Loll
|
Non-perturbative Lorentzian Quantum Gravity, Causality and Topology
Change
|
30 pages, 5 figures, Latex, uses psfig.sty
|
Nucl.Phys. B536 (1998) 407-434
|
10.1016/S0550-3213(98)00692-0
|
NBI-HE-98-11
|
hep-th gr-qc hep-lat
| null |
We formulate a non-perturbative lattice model of two-dimensional Lorentzian
quantum gravity by performing the path integral over geometries with a causal
structure. The model can be solved exactly at the discretized level. Its
continuum limit coincides with the theory obtained by quantizing 2d continuum
gravity in proper-time gauge, but it disagrees with 2d gravity defined via
matrix models or Liouville theory. By allowing topology change of the compact
spatial slices (i.e. baby universe creation), one obtains agreement with the
matrix models and Liouville theory.
|
[
{
"created": "Mon, 18 May 1998 07:38:53 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ambjorn",
"J.",
""
],
[
"Loll",
"R.",
""
]
] |
We formulate a non-perturbative lattice model of two-dimensional Lorentzian quantum gravity by performing the path integral over geometries with a causal structure. The model can be solved exactly at the discretized level. Its continuum limit coincides with the theory obtained by quantizing 2d continuum gravity in proper-time gauge, but it disagrees with 2d gravity defined via matrix models or Liouville theory. By allowing topology change of the compact spatial slices (i.e. baby universe creation), one obtains agreement with the matrix models and Liouville theory.
| 8.604268
| 8.116867
| 9.339833
| 7.806535
| 7.782291
| 7.722368
| 7.495762
| 8.225586
| 8.232639
| 9.534411
| 7.636785
| 7.991233
| 8.51176
| 8.235421
| 8.14314
| 8.342989
| 7.894173
| 8.241993
| 8.347775
| 8.773501
| 8.402508
|
0901.1712
|
Govindarajan Thupil Dr
|
A. P. Balachandran, T. R. Govindarajan and S. Vaidya
|
Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories
|
+13 pages; minor changes in references,To appear in Phys Rev D
|
Phys.Rev.D79:105020,2009
|
10.1103/PhysRevD.79.105020
|
ISc-CHEP/01/09,IMSC-2009/01/01,SU-4252-883
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse aspects of symmetry breaking for Moyal spacetimes within a
quantisation scheme which preserves the twisted Poincar\'e symmetry. Towards
this purpose, we develop the LSZ approach for Moyal spacetimes. The latter
gives a formula for scattering amplitudes on these spacetimes which can be
obtained from the corresponding ones on the commutative spacetime. This formula
applies in the presence of spontaneous breakdown of symmetries as well.We also
derive Goldstone's theorem on Moyal spacetime. The formalism developed here can
be directly applied to the twisted standard model.
|
[
{
"created": "Tue, 13 Jan 2009 05:36:00 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Feb 2009 04:59:55 GMT",
"version": "v2"
},
{
"created": "Mon, 11 May 2009 09:55:41 GMT",
"version": "v3"
},
{
"created": "Wed, 27 May 2009 13:56:49 GMT",
"version": "v4"
}
] |
2009-07-30
|
[
[
"Balachandran",
"A. P.",
""
],
[
"Govindarajan",
"T. R.",
""
],
[
"Vaidya",
"S.",
""
]
] |
We analyse aspects of symmetry breaking for Moyal spacetimes within a quantisation scheme which preserves the twisted Poincar\'e symmetry. Towards this purpose, we develop the LSZ approach for Moyal spacetimes. The latter gives a formula for scattering amplitudes on these spacetimes which can be obtained from the corresponding ones on the commutative spacetime. This formula applies in the presence of spontaneous breakdown of symmetries as well.We also derive Goldstone's theorem on Moyal spacetime. The formalism developed here can be directly applied to the twisted standard model.
| 11.923487
| 8.760942
| 11.718891
| 9.513692
| 8.64105
| 9.296677
| 8.540858
| 9.083172
| 9.341931
| 12.404124
| 9.301857
| 9.993978
| 10.775238
| 10.470677
| 9.557978
| 10.030364
| 10.13397
| 9.843078
| 10.568687
| 11.039495
| 10.062592
|
hep-th/0501136
|
Patricio Gaete
|
Patricio Gaete
|
On external backgrounds and linear potential in three dimensions
|
6 pages
| null | null |
USM-TH-165
|
hep-th
| null |
For a three-dimensional theory with a coupling $\phi \epsilon ^{\mu \nu
\lambda} v_\mu F_{\nu \lambda}$, where $v_\mu$ is an external constant
background, we compute the interaction potential within the structure of the
gauge-invariant but path-dependent variables formalism. While in the case of a
purely timelike vector the static potential remains Coulombic, in the case of a
purely spacelike vector the potential energy is the sum of a Bessel and a
linear potentials, leading to the confinement of static charges. This result
may be considered as another realization of the known Polyakov's result.
|
[
{
"created": "Tue, 18 Jan 2005 19:10:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gaete",
"Patricio",
""
]
] |
For a three-dimensional theory with a coupling $\phi \epsilon ^{\mu \nu \lambda} v_\mu F_{\nu \lambda}$, where $v_\mu$ is an external constant background, we compute the interaction potential within the structure of the gauge-invariant but path-dependent variables formalism. While in the case of a purely timelike vector the static potential remains Coulombic, in the case of a purely spacelike vector the potential energy is the sum of a Bessel and a linear potentials, leading to the confinement of static charges. This result may be considered as another realization of the known Polyakov's result.
| 9.748414
| 6.144961
| 9.803752
| 6.899435
| 6.762713
| 6.352475
| 5.849627
| 6.440045
| 6.759406
| 9.524472
| 7.131432
| 7.430578
| 8.896759
| 7.99173
| 7.671516
| 7.7144
| 7.69769
| 7.941063
| 7.645332
| 8.602488
| 8.030406
|
hep-th/0504118
|
J. Mourad
|
J. Mourad
|
Continuous spin particles from a string theory
|
13 pages, LaTeX
| null |
10.1063/1.2399607
| null |
hep-th
| null |
It has been shown that the massless irreducible representations of the
Poincar\'e group with continuous spin can be obtained from a classical point
particle action which admits a generalization to a conformally invariant string
action. The continuous spin string action is quantized in the BRST formalism.
We show that the vacuum carries a continuous spin representation of the
Poincar\'e group and that the spectrum is ghost-free.
|
[
{
"created": "Wed, 13 Apr 2005 15:03:10 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Mourad",
"J.",
""
]
] |
It has been shown that the massless irreducible representations of the Poincar\'e group with continuous spin can be obtained from a classical point particle action which admits a generalization to a conformally invariant string action. The continuous spin string action is quantized in the BRST formalism. We show that the vacuum carries a continuous spin representation of the Poincar\'e group and that the spectrum is ghost-free.
| 7.717135
| 6.428203
| 7.184671
| 5.93211
| 6.544084
| 6.107454
| 6.455012
| 6.355217
| 6.125658
| 7.577004
| 6.375445
| 6.262175
| 6.839466
| 6.434244
| 6.261944
| 5.967566
| 6.616863
| 6.314209
| 6.332501
| 6.589343
| 6.258428
|
1606.02537
|
Susha Parameswaran
|
Susha L. Parameswaran and Ivonne Zavala
|
Prospects for Primordial Gravitational Waves in String Inflation
|
Received Honourable Mention in the 2016 Gravity Research Foundation
Awards for Essays on Gravitation; submitted to IJMPD Special issue with some
revisions and clarifications, 3 pages + refs; v2 further clarifications
|
Int. J. Mod. Phys. D 25, 1644011 (2016)
|
10.1142/S0218271816440119
|
LTH 1086
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Assuming that the early universe had (i) a description using perturbative
string theory and its field theory limit (ii) an epoch of slow-roll inflation
within a four-dimensional effective field theory and a hierarchy of scales
$M_{inf} < m_{kk} < m_s \lesssim M_{pl}$ that keeps the latter under control,
we derive an upper bound on the amplitude of primordial gravitational waves.
The bound is very sensitive to mild changes in numerical coefficients and the
expansion parameters. For example, allowing couplings and mass-squared
hierarchies $\lesssim 0.2$, implies $r \lesssim 0.05$, but asking more safely
for hierarchies $\lesssim 0.1$, the bound becomes $r \lesssim 10^{-6}$.
Moreover, large volumes -- typically used in string models to keep backreaction
and moduli stabilisation under control -- drive $r$ down. Consequently, any
detection of inflationary gravitational waves would present an interesting but
difficult challenge for string theory.
|
[
{
"created": "Wed, 8 Jun 2016 13:00:13 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jul 2016 12:44:09 GMT",
"version": "v2"
}
] |
2016-11-15
|
[
[
"Parameswaran",
"Susha L.",
""
],
[
"Zavala",
"Ivonne",
""
]
] |
Assuming that the early universe had (i) a description using perturbative string theory and its field theory limit (ii) an epoch of slow-roll inflation within a four-dimensional effective field theory and a hierarchy of scales $M_{inf} < m_{kk} < m_s \lesssim M_{pl}$ that keeps the latter under control, we derive an upper bound on the amplitude of primordial gravitational waves. The bound is very sensitive to mild changes in numerical coefficients and the expansion parameters. For example, allowing couplings and mass-squared hierarchies $\lesssim 0.2$, implies $r \lesssim 0.05$, but asking more safely for hierarchies $\lesssim 0.1$, the bound becomes $r \lesssim 10^{-6}$. Moreover, large volumes -- typically used in string models to keep backreaction and moduli stabilisation under control -- drive $r$ down. Consequently, any detection of inflationary gravitational waves would present an interesting but difficult challenge for string theory.
| 9.619477
| 11.154647
| 9.984615
| 9.47128
| 10.004333
| 9.282475
| 10.212515
| 9.355858
| 9.324604
| 10.190646
| 8.931364
| 9.175443
| 9.191776
| 8.942125
| 9.08476
| 8.950409
| 9.173854
| 8.792145
| 9.310473
| 9.594271
| 8.784477
|
hep-th/9605178
|
Me
|
Massimo Di Pierro and Kenichi Konishi
|
Mass, Confinement and CP Invariance in the Seiberg-Witten Model"
|
Latex file, 13 pages, plus 1 eps Figure file (Revised)
|
Phys.Lett. B388 (1996) 90-96
|
10.1016/0370-2693(96)01136-7
|
GEF-TH/6 1996
|
hep-th
| null |
Several physics aspects of the Seiberg-Witten solution of N=2 supersymmetric
Yang-Mills theory with SU(2) gauge group, supplemented with a small mass term
for the "matter" fields which leads to an $N=1$ theory with confinement, are
discussed. The light spectrum of the theory is understood on the basis of
current algebra relations, and CP invariance of the massless and massive
theories is studied. We find that in the massive (confining) theory the low
energy physics has an exact CP symmetry, while in a generic vacuum in the
massless theory CP invarince is spontaneously broken.
|
[
{
"created": "Thu, 23 May 1996 15:34:12 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 1996 13:29:42 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Di Pierro",
"Massimo",
""
],
[
"Konishi",
"Kenichi",
""
]
] |
Several physics aspects of the Seiberg-Witten solution of N=2 supersymmetric Yang-Mills theory with SU(2) gauge group, supplemented with a small mass term for the "matter" fields which leads to an $N=1$ theory with confinement, are discussed. The light spectrum of the theory is understood on the basis of current algebra relations, and CP invariance of the massless and massive theories is studied. We find that in the massive (confining) theory the low energy physics has an exact CP symmetry, while in a generic vacuum in the massless theory CP invarince is spontaneously broken.
| 8.76727
| 8.302824
| 9.539046
| 8.034701
| 8.602892
| 8.474605
| 8.760887
| 8.112032
| 8.056024
| 9.550777
| 8.368038
| 8.277369
| 8.317555
| 7.757827
| 7.958406
| 8.161192
| 8.320992
| 8.121391
| 7.93023
| 8.138856
| 8.190443
|
hep-th/0311012
|
Nelson R. F. Braga
|
Henrique Boschi-Filho and Nelson R. F. Braga
|
Isometries of a D3-brane space
|
9 pages, no figures. Version 2: we now present more details on the
solution of the Killing equations
|
Class.Quant.Grav.21:2427-2433,2004
|
10.1088/0264-9381/21/9/016
| null |
hep-th
| null |
We obtain the Killing equations and the corresponding infinitesimal
isometries for the ten dimensional space generated by a large number of
coincident D3-branes. In a convenient limit this space becomes an $AdS_5\times
S^5$ which is relevant for the AdS/CFT correspondence. In this case, using
Poincare coordinates, we also write down the Killing equations and
infinitesimal isometries. Then we obtain a simple realization of the
isomorphism between $AdS$ isometries and the boundary conformal group.
|
[
{
"created": "Mon, 3 Nov 2003 18:51:15 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Apr 2004 17:51:57 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Boschi-Filho",
"Henrique",
""
],
[
"Braga",
"Nelson R. F.",
""
]
] |
We obtain the Killing equations and the corresponding infinitesimal isometries for the ten dimensional space generated by a large number of coincident D3-branes. In a convenient limit this space becomes an $AdS_5\times S^5$ which is relevant for the AdS/CFT correspondence. In this case, using Poincare coordinates, we also write down the Killing equations and infinitesimal isometries. Then we obtain a simple realization of the isomorphism between $AdS$ isometries and the boundary conformal group.
| 7.442662
| 7.168159
| 7.109023
| 6.891687
| 7.149146
| 6.403224
| 7.025053
| 6.761395
| 7.07497
| 8.273357
| 6.348319
| 6.90576
| 7.258492
| 6.639295
| 7.029825
| 7.140896
| 6.908358
| 6.662554
| 6.593028
| 7.067653
| 6.521885
|
hep-th/0305117
|
Alfredo Iorio
|
G. Guralnik, A. Iorio, R. Jackiw, S.-Y. Pi
|
Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
|
18 pages, one paragraph added in conclusions, typos corrected,
accepted by Annals of Physics
|
Annals Phys. 308 (2003) 222-236
|
10.1016/S0003-4916(03)00142-8
|
MIT-CTP-3373, BUHEP 03-11, BROWNHET-1357
|
hep-th gr-qc math-ph math.MP
| null |
When the gravitational Chern-Simons term is reduced from 3 to 2 dimensions,
the lower dimensional theory supports a symmetry breaking solution and an
associated kink. Kinks in general relativity bear a close relation to flat
space kinks, governed by identical potentials.
|
[
{
"created": "Tue, 13 May 2003 19:48:56 GMT",
"version": "v1"
},
{
"created": "Wed, 21 May 2003 19:47:01 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Guralnik",
"G.",
""
],
[
"Iorio",
"A.",
""
],
[
"Jackiw",
"R.",
""
],
[
"Pi",
"S. -Y.",
""
]
] |
When the gravitational Chern-Simons term is reduced from 3 to 2 dimensions, the lower dimensional theory supports a symmetry breaking solution and an associated kink. Kinks in general relativity bear a close relation to flat space kinks, governed by identical potentials.
| 24.409172
| 16.496403
| 23.37121
| 19.124895
| 15.804436
| 14.447208
| 15.715099
| 17.502943
| 17.775434
| 21.204386
| 17.989065
| 16.520597
| 20.412746
| 17.240179
| 19.174377
| 16.868452
| 16.71106
| 18.092752
| 18.310734
| 20.314039
| 17.135387
|
hep-th/9808141
|
Ashoke Sen
|
Ashoke Sen
|
SO(32) Spinors of Type I and Other Solitons on Brane-Antibrane Pair
|
LaTeX file, 31 pages
|
JHEP 9809:023,1998
|
10.1088/1126-6708/1998/09/023
|
MRI-PHY/P980858
|
hep-th
| null |
We construct the SO(32) spinor state in weakly coupled type I string theory
as a kink solution of the tachyon field on the D-string - anti-D-string pair
and calculate its mass. We also give a description of this system in terms of
an exact boundary conformal field theory and show that in this description this
state can be regarded as a non-supersymmetric D0-brane in type I string theory.
This construction can be generalised to represent the D0-brane in type IIA
string theory as a vortex solution of the tachyon field on the membrane
anti-membrane pair, and the D-string of type I string theory as a topological
soliton of the tachyon field on the D5-brane anti- D5-brane pair.
|
[
{
"created": "Mon, 24 Aug 1998 15:18:12 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Sen",
"Ashoke",
""
]
] |
We construct the SO(32) spinor state in weakly coupled type I string theory as a kink solution of the tachyon field on the D-string - anti-D-string pair and calculate its mass. We also give a description of this system in terms of an exact boundary conformal field theory and show that in this description this state can be regarded as a non-supersymmetric D0-brane in type I string theory. This construction can be generalised to represent the D0-brane in type IIA string theory as a vortex solution of the tachyon field on the membrane anti-membrane pair, and the D-string of type I string theory as a topological soliton of the tachyon field on the D5-brane anti- D5-brane pair.
| 5.444928
| 5.336854
| 6.232524
| 5.347824
| 5.094126
| 5.449641
| 5.23311
| 5.180908
| 5.155495
| 6.718247
| 5.05516
| 5.055154
| 5.683744
| 5.268081
| 5.215532
| 5.133142
| 5.300967
| 5.116141
| 5.248566
| 5.671692
| 5.240101
|
1612.03879
|
Joris Raeymaekers
|
Ond\v{r}ej Hul\'ik, Tom\'a\v{s} Proch\'azka and Joris Raeymaekers
|
Multi-centered AdS$_3$ solutions from Virasoro conformal blocks
|
29 + 5 pages. v2: error in right-moving stress tensor corrected,
section 4 expanded, references added
| null |
10.1007/JHEP03(2017)129
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the construction of multi-centered solutions in three-dimensional
anti-de Sitter gravity in the light of the recently discovered connection
between particle worldlines and classical Virasoro conformal blocks. We focus
on multi-centered solutions which represent the backreaction of point masses
moving on helical geodesics in global AdS$_3$, and argue that their
construction reduces to a problem in Liouville theory on the disk with
Zamolodchikov-Zamolodchikov boundary condition. In order to construct the
solution one needs to solve a certain monodromy problem which we argue is
solved by a vacuum classical conformal block on the sphere in a particular
channel. In this way we construct multi-centered gravity solutions by using
conformal blocks special functions. We show that our solutions represent
left-right asymmetric configurations of operator insertions in the dual CFT. We
also provide a check of our arguments in an example and comment on other types
of solutions.
|
[
{
"created": "Mon, 12 Dec 2016 20:10:14 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2017 10:35:33 GMT",
"version": "v2"
}
] |
2017-04-26
|
[
[
"Hulík",
"Ondřej",
""
],
[
"Procházka",
"Tomáš",
""
],
[
"Raeymaekers",
"Joris",
""
]
] |
We revisit the construction of multi-centered solutions in three-dimensional anti-de Sitter gravity in the light of the recently discovered connection between particle worldlines and classical Virasoro conformal blocks. We focus on multi-centered solutions which represent the backreaction of point masses moving on helical geodesics in global AdS$_3$, and argue that their construction reduces to a problem in Liouville theory on the disk with Zamolodchikov-Zamolodchikov boundary condition. In order to construct the solution one needs to solve a certain monodromy problem which we argue is solved by a vacuum classical conformal block on the sphere in a particular channel. In this way we construct multi-centered gravity solutions by using conformal blocks special functions. We show that our solutions represent left-right asymmetric configurations of operator insertions in the dual CFT. We also provide a check of our arguments in an example and comment on other types of solutions.
| 8.952112
| 8.904735
| 9.757022
| 8.250325
| 9.19028
| 8.363274
| 8.928069
| 8.334959
| 8.570065
| 11.476322
| 7.980864
| 8.432992
| 8.776845
| 8.336952
| 8.564615
| 8.320156
| 8.397758
| 8.343161
| 8.220823
| 9.026788
| 8.242832
|
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