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| perplexity_s10-L-3.1-8B-base
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2003.14409
|
Chiara Toldo
|
Chiara Toldo
|
Holographic duals of refined partition functions
|
Contribution to the proceedings for Corfu Summer Institute 2019
"School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019)
31 August - 25 September 2019 Corfu, Greece. Based on arXiv: 1712.08861,
1811.00292, 1907.05192
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent years have witnessed lots of progress in the computation of
supersymmetric partition functions of SCFTs on curved manifolds via
localization. The twisted partition function on product manifolds of the form
$S^1 \times \Sigma_g$, where $\Sigma_g$ is a two-dimensional Riemann surface,
is of particular relevance due to its role in the microstate counting for
magnetic static AdS$_4$ black holes realizing the topological twist. We review
here supergravity solutions having as conformal boundary more general 3d
manifolds. We first focus on solutions (AdS-Taub-NUT and AdS-Taub-Bolt) having
as boundary a circle bundle over $\Sigma_g$, showing the matching of their
on-shell action with the large $N$ limit of the partition function of the dual
CFT. We then discuss some recent results for a challenging example, which
involves the refinement by angular momentum. The gravitational backgrounds in
this case are rotating supersymmetric AdS$_4$ black holes. We review the
salient features of two different classes of such solutions in theories of
supergravity with uplift in M-theory, and comment on the current status of
their entropy counting in the dual CFT.
|
[
{
"created": "Tue, 31 Mar 2020 17:55:13 GMT",
"version": "v1"
}
] |
2020-04-01
|
[
[
"Toldo",
"Chiara",
""
]
] |
Recent years have witnessed lots of progress in the computation of supersymmetric partition functions of SCFTs on curved manifolds via localization. The twisted partition function on product manifolds of the form $S^1 \times \Sigma_g$, where $\Sigma_g$ is a two-dimensional Riemann surface, is of particular relevance due to its role in the microstate counting for magnetic static AdS$_4$ black holes realizing the topological twist. We review here supergravity solutions having as conformal boundary more general 3d manifolds. We first focus on solutions (AdS-Taub-NUT and AdS-Taub-Bolt) having as boundary a circle bundle over $\Sigma_g$, showing the matching of their on-shell action with the large $N$ limit of the partition function of the dual CFT. We then discuss some recent results for a challenging example, which involves the refinement by angular momentum. The gravitational backgrounds in this case are rotating supersymmetric AdS$_4$ black holes. We review the salient features of two different classes of such solutions in theories of supergravity with uplift in M-theory, and comment on the current status of their entropy counting in the dual CFT.
| 8.280033
| 7.881229
| 9.170294
| 7.720682
| 8.234353
| 7.79643
| 7.645934
| 7.750814
| 7.907774
| 10.117549
| 7.960813
| 7.940746
| 8.120193
| 7.797894
| 7.8906
| 7.724725
| 7.889569
| 7.724375
| 7.734774
| 8.033975
| 7.92122
|
1306.2364
|
Mikhail Shifman
|
A. Gorsky, M. Shifman, A. Yung
|
Revisiting the Faddeev-Skyrme Model and Hopf Solitons
|
20 pp., 3 figures; v.2: Two references added; v.3 An extra reference
and two brief comments added
| null |
10.1103/PhysRevD.88.045026
|
FTPI-MINN-13/19, UMN-TH-3208/13, ITEP-TH-16/13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We observe that the Faddeev-Skyrme model emerges as a low-energy limit of
scalar QED with two charged scalar fields and a selfinteraction potential of a
special form (inspired by supersymmetric QCD). Then we discuss possible Hopf
solitons of the "twisted-toroidal" type.
|
[
{
"created": "Mon, 10 Jun 2013 22:00:34 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jun 2013 18:17:27 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jun 2013 20:21:44 GMT",
"version": "v3"
}
] |
2013-09-04
|
[
[
"Gorsky",
"A.",
""
],
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] |
We observe that the Faddeev-Skyrme model emerges as a low-energy limit of scalar QED with two charged scalar fields and a selfinteraction potential of a special form (inspired by supersymmetric QCD). Then we discuss possible Hopf solitons of the "twisted-toroidal" type.
| 13.388978
| 12.178208
| 14.636246
| 10.158218
| 11.648396
| 12.660069
| 11.923943
| 10.949143
| 11.358453
| 16.917532
| 11.112979
| 10.444311
| 13.008246
| 10.945299
| 11.126081
| 11.239374
| 11.164911
| 10.292188
| 12.20646
| 12.32281
| 11.08951
|
1205.1549
|
Frank Hellmann
|
Ralf Banisch, Frank Hellmann, Dennis Raetzel
|
The Unruh-deWitt Detector and the Vacuum in the General Boundary
formalism
|
Version as published in CQG
|
Class. Quantum Grav. 30 (2013) 235026
|
10.1088/0264-9381/30/23/235026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss how to formulate a condition for choosing the vacuum state of a
quantum scalar field on a timelike hyperplane in the general boundary
formulation (GBF) using the coupling to an Unruh-DeWitt detector. We explicitly
study the response of an Unruh-DeWitt detector for evanescent modes which occur
naturally in quantum field theory in the presence of the equivalent of a
dielectric boundary. We find that the physically correct vacuum state has to
depend on the physical situation outside of the boundaries of the spacetime
region considered. Thus it cannot be determined by general principles
pertaining only to a subset of spacetime.
|
[
{
"created": "Mon, 7 May 2012 21:58:07 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jul 2013 15:49:15 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Oct 2013 17:10:56 GMT",
"version": "v3"
}
] |
2015-06-05
|
[
[
"Banisch",
"Ralf",
""
],
[
"Hellmann",
"Frank",
""
],
[
"Raetzel",
"Dennis",
""
]
] |
We discuss how to formulate a condition for choosing the vacuum state of a quantum scalar field on a timelike hyperplane in the general boundary formulation (GBF) using the coupling to an Unruh-DeWitt detector. We explicitly study the response of an Unruh-DeWitt detector for evanescent modes which occur naturally in quantum field theory in the presence of the equivalent of a dielectric boundary. We find that the physically correct vacuum state has to depend on the physical situation outside of the boundaries of the spacetime region considered. Thus it cannot be determined by general principles pertaining only to a subset of spacetime.
| 11.876123
| 11.636607
| 11.768545
| 10.808244
| 10.8975
| 10.431365
| 11.236239
| 10.934704
| 10.758639
| 12.095995
| 10.731724
| 11.045416
| 10.904159
| 10.662901
| 11.063923
| 11.007362
| 11.033045
| 11.117791
| 10.974907
| 11.18811
| 11.164975
|
hep-th/9712154
|
Francois Gieres
|
Francois Gieres
|
About Symmetries in Physics
|
Latex, 42 pages, 4 figures
|
in "Symmetries in Physics", Proceedings of the fifth "Seminaire
Rhodanien de Physique", Dolomieu 1997, F. Gieres, M. Kibler, C. Lucchesi and
O. Piguet, eds. (Editions Frontieres, 1998)
| null |
LYCEN 9754
|
hep-th hep-ph math-ph math.MP nucl-th
| null |
The goal of this introduction to symmetries is to present some general ideas,
to outline the fundamental concepts and results of the subject and to situate a
bit the following lectures of this school. [These notes represent the write-up
of a lecture presented at the fifth ``Seminaire Rhodanien de Physique: Sur les
Symetries en Physique" held at Dolomieu (France), 17-21 March 1997. Up to the
appendix and the graphics, it is to be published in "Symmetries in Physics",
F.Gieres, M.Kibler,C.Lucchesi and O.Piguet, eds. (Editions Frontieres, 1998).]
|
[
{
"created": "Tue, 16 Dec 1997 14:58:42 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gieres",
"Francois",
""
]
] |
The goal of this introduction to symmetries is to present some general ideas, to outline the fundamental concepts and results of the subject and to situate a bit the following lectures of this school. [These notes represent the write-up of a lecture presented at the fifth ``Seminaire Rhodanien de Physique: Sur les Symetries en Physique" held at Dolomieu (France), 17-21 March 1997. Up to the appendix and the graphics, it is to be published in "Symmetries in Physics", F.Gieres, M.Kibler,C.Lucchesi and O.Piguet, eds. (Editions Frontieres, 1998).]
| 12.258307
| 14.28063
| 12.179303
| 11.771244
| 14.073834
| 13.790751
| 14.320518
| 15.435823
| 11.774593
| 14.080904
| 12.835324
| 11.58571
| 10.791571
| 10.779385
| 11.67552
| 11.156101
| 11.71707
| 11.428304
| 11.040879
| 11.308045
| 11.56076
|
1605.09747
|
Antonio Pereira Jr
|
A. D. Pereira, R. F. Sobreiro, S. P. Sorella
|
Non-perturbative BRST quantization of Euclidean Yang-Mills theories in
Curci-Ferrari gauges
|
27 pages, no figures, V2: discussions extended, to appear in EPJC
| null |
10.1140/epjc/s10052-016-4368-2
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we address the issue of the non-perturbative quantization of
Euclidean Yang-Mills theories in the Curci-Ferrari gauge. In particular, we
construct a Refined Gribov-Zwanziger action for this gauge which takes into
account the presence of gauge copies as well as the dynamical formation of
dimension two condensates. This action enjoys a non-perturbative BRST symmetry
recently proposed in \cite{Capri:2015ixa}. Finally, we give attention to the
gluon propagator in different space-time dimensions.
|
[
{
"created": "Tue, 31 May 2016 18:09:12 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 2016 19:59:23 GMT",
"version": "v2"
}
] |
2016-10-12
|
[
[
"Pereira",
"A. D.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
]
] |
In this paper we address the issue of the non-perturbative quantization of Euclidean Yang-Mills theories in the Curci-Ferrari gauge. In particular, we construct a Refined Gribov-Zwanziger action for this gauge which takes into account the presence of gauge copies as well as the dynamical formation of dimension two condensates. This action enjoys a non-perturbative BRST symmetry recently proposed in \cite{Capri:2015ixa}. Finally, we give attention to the gluon propagator in different space-time dimensions.
| 4.21424
| 4.896305
| 5.878522
| 5.097557
| 4.976726
| 4.335331
| 4.480851
| 4.789838
| 4.939266
| 5.258982
| 4.71743
| 4.392514
| 4.927416
| 4.886608
| 4.676929
| 4.572039
| 4.431957
| 4.565307
| 4.827802
| 5.098937
| 4.757195
|
hep-th/0103186
|
Dasgupta Arundhati
|
A. Dasgupta, R. Loll
|
A proper-time cure for the conformal sickness in quantum gravity
|
25 pages, 1 postscript figure; version to appear in Nucl. Phys. B
with an added reference and a comment
|
Nucl.Phys.B606:357-379,2001
|
10.1016/S0550-3213(01)00227-9
|
AEI-2001-020
|
hep-th gr-qc
| null |
Starting from the space of Lorentzian metrics, we examine the full
gravitational path integral in 3 and 4 space-time dimensions. Inspired by
recent results obtained in a regularized, dynamically triangulated formulation
of Lorentzian gravity, we gauge-fix to proper-time coordinates and perform a
non-perturbative ``Wick rotation'' on the physical configuration space. Under
certain assumptions about the behaviour of the partition function under
renormalization, we find that the divergence due to the conformal modes of the
metric is cancelled non-perturbatively by a Faddeev-Popov determinant
contributing to the effective measure. We illustrate some of our claims by a 3d
perturbative calculation.
|
[
{
"created": "Thu, 22 Mar 2001 21:32:47 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2001 17:41:01 GMT",
"version": "v2"
}
] |
2011-07-18
|
[
[
"Dasgupta",
"A.",
""
],
[
"Loll",
"R.",
""
]
] |
Starting from the space of Lorentzian metrics, we examine the full gravitational path integral in 3 and 4 space-time dimensions. Inspired by recent results obtained in a regularized, dynamically triangulated formulation of Lorentzian gravity, we gauge-fix to proper-time coordinates and perform a non-perturbative ``Wick rotation'' on the physical configuration space. Under certain assumptions about the behaviour of the partition function under renormalization, we find that the divergence due to the conformal modes of the metric is cancelled non-perturbatively by a Faddeev-Popov determinant contributing to the effective measure. We illustrate some of our claims by a 3d perturbative calculation.
| 9.065104
| 9.037434
| 8.66691
| 8.528667
| 8.827493
| 8.816173
| 9.355356
| 9.556273
| 8.65051
| 9.764453
| 8.269851
| 8.531569
| 8.406007
| 8.343674
| 8.455047
| 8.610037
| 8.50823
| 8.235685
| 8.543273
| 8.619923
| 8.352614
|
1507.06130
|
Keisuke Ohashi
|
Keisuke Ohashi
|
Small Winding-Number Expansion: Vortex Solutions at Critical Coupling
|
38 pages,48 figures
| null |
10.1007/JHEP11(2015)073
|
IFUP-TH/2015
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study an axially symmetric solution of a vortex in the Abelian-Higgs model
at critical coupling in detail. Here we propose a new idea for a perturbative
expansion of a solution, where the winding number of a vortex is naturally
extended to be a real number and the solution is expanded with respect to it
around its origin. We test this idea on three typical constants contained in
the solution and confirm that this expansion works well with the help of the
Pad\'e approximation. For instance, we analytically reproduce the value of the
scalar charge of the vortex with an error of $O(10^{-6})$. This expansion is
also powerful even for large winding numbers.
|
[
{
"created": "Wed, 22 Jul 2015 11:16:49 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2015 15:47:12 GMT",
"version": "v2"
}
] |
2016-01-20
|
[
[
"Ohashi",
"Keisuke",
""
]
] |
We study an axially symmetric solution of a vortex in the Abelian-Higgs model at critical coupling in detail. Here we propose a new idea for a perturbative expansion of a solution, where the winding number of a vortex is naturally extended to be a real number and the solution is expanded with respect to it around its origin. We test this idea on three typical constants contained in the solution and confirm that this expansion works well with the help of the Pad\'e approximation. For instance, we analytically reproduce the value of the scalar charge of the vortex with an error of $O(10^{-6})$. This expansion is also powerful even for large winding numbers.
| 10.41527
| 10.201034
| 9.974127
| 9.820216
| 9.953009
| 9.462531
| 9.914141
| 9.111762
| 9.816157
| 10.227008
| 9.653118
| 9.568363
| 10.29568
| 9.672992
| 10.006475
| 9.228201
| 9.425901
| 9.450748
| 10.109943
| 9.73794
| 9.454206
|
1708.03072
|
Shinobu Hikami
|
S. Hikami
|
Conformal Bootstrap Analysis for Single and Branched Polymers
|
13 pages, 5 figures
|
Prog Theor Exp Phys (2018)
|
10.1093/ptep/pty132
| null |
hep-th cond-mat.dis-nn math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The determinant method in the conformal bootstrap is applied for the critical
phenomena of a single polymer in arbitrary $D$ dimensions. The scale dimensions
(critical exponents) of the polymer ($2< D \le 4$) and the branched polymer ($3
< D \le 8$) are obtained from the small determinants. It is known that the
dimensional reduction of the branched polymer in $D$ dimensions to Yang-Lee
edge singularity in $D$-$2$ dimensions holds exactly. We examine this
equivalence by the small determinant method.
|
[
{
"created": "Thu, 10 Aug 2017 04:17:40 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jan 2018 05:09:30 GMT",
"version": "v2"
},
{
"created": "Wed, 31 Oct 2018 20:40:29 GMT",
"version": "v3"
}
] |
2019-12-06
|
[
[
"Hikami",
"S.",
""
]
] |
The determinant method in the conformal bootstrap is applied for the critical phenomena of a single polymer in arbitrary $D$ dimensions. The scale dimensions (critical exponents) of the polymer ($2< D \le 4$) and the branched polymer ($3 < D \le 8$) are obtained from the small determinants. It is known that the dimensional reduction of the branched polymer in $D$ dimensions to Yang-Lee edge singularity in $D$-$2$ dimensions holds exactly. We examine this equivalence by the small determinant method.
| 10.117981
| 11.305843
| 10.067746
| 9.30196
| 9.687881
| 8.911103
| 9.686386
| 9.743251
| 9.350442
| 12.584615
| 9.453899
| 9.103415
| 9.852612
| 8.988132
| 9.198361
| 8.863276
| 9.111704
| 9.633498
| 8.959022
| 9.61157
| 9.551404
|
hep-th/9206047
| null |
Luca Mezincescu and Rafael I. Nepomechie
|
Addendum to ``Integrability of Open Spin Chains with Quantum Algebra
Symmetry''
|
4 pages, plain tex, UMTG-167
|
Int.J.Mod.Phys. A6 (1991) 5231-5248; Addendum-ibid. A7 (1992)
5657-5660
|
10.1142/S0217751X91002458
| null |
hep-th
| null |
We show that the quantum-algebra-invariant open spin chains associated with
the affine Lie algebras $A^{(1)}_n$ for $n>1$ are integrable. The argument,
which applies to a large class of other quantum-algebra-invariant chains, does
not require that the corresponding $R$ matrix have crossing symmetry.
|
[
{
"created": "Wed, 10 Jun 1992 20:10:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Mezincescu",
"Luca",
""
],
[
"Nepomechie",
"Rafael I.",
""
]
] |
We show that the quantum-algebra-invariant open spin chains associated with the affine Lie algebras $A^{(1)}_n$ for $n>1$ are integrable. The argument, which applies to a large class of other quantum-algebra-invariant chains, does not require that the corresponding $R$ matrix have crossing symmetry.
| 6.867989
| 6.281932
| 7.927735
| 6.343573
| 6.710354
| 6.38686
| 6.606466
| 6.228829
| 6.226728
| 7.058856
| 6.290644
| 6.408777
| 7.12308
| 6.286228
| 6.289702
| 6.552521
| 6.460324
| 6.088952
| 6.356378
| 7.407478
| 6.688691
|
hep-th/9612216
|
Lev Rozansky
|
L. Rozansky, E. Witten
|
Hyper-Kahler Geometry and Invariants of Three-Manifolds
|
70 pages, LaTeX (a few typos corrected)
|
Selecta Math.3:401-458,1997
| null |
IASSNS-HEP-96/128
|
hep-th math.QA q-alg
| null |
We study a 3-dimensional topological sigma-model, whose target space is a
hyper-Kahler manifold X. A Feynman diagram calculation of its partition
function demonstrates that it is a finite type invariant of 3-manifolds which
is similar in structure to those appearing in the perturbative calculation of
the Chern-Simons partition function.
The sigma-model suggests a new system of weights for finite type invariants
of 3-manifolds, described by trivalent graphs. The Riemann curvature of X plays
the role of Lie algebra structure constants in Chern-Simons theory, and the
Bianchi identity plays the role of the Jacobi identity in guaranteeing the
so-called IHX relation among the weights.
We argue that, for special choices of X, the partition function of the
sigma-model yields the Casson-Walker invariant and its generalizations. We also
derive Walker's surgery formula from the SL(2,Z) action on the
finite-dimensional Hilbert space obtained by quantizing the sigma-model on a
two-dimensional torus.
|
[
{
"created": "Fri, 20 Dec 1996 16:58:57 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Apr 1997 17:13:04 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jul 1997 15:08:39 GMT",
"version": "v3"
}
] |
2010-04-07
|
[
[
"Rozansky",
"L.",
""
],
[
"Witten",
"E.",
""
]
] |
We study a 3-dimensional topological sigma-model, whose target space is a hyper-Kahler manifold X. A Feynman diagram calculation of its partition function demonstrates that it is a finite type invariant of 3-manifolds which is similar in structure to those appearing in the perturbative calculation of the Chern-Simons partition function. The sigma-model suggests a new system of weights for finite type invariants of 3-manifolds, described by trivalent graphs. The Riemann curvature of X plays the role of Lie algebra structure constants in Chern-Simons theory, and the Bianchi identity plays the role of the Jacobi identity in guaranteeing the so-called IHX relation among the weights. We argue that, for special choices of X, the partition function of the sigma-model yields the Casson-Walker invariant and its generalizations. We also derive Walker's surgery formula from the SL(2,Z) action on the finite-dimensional Hilbert space obtained by quantizing the sigma-model on a two-dimensional torus.
| 6.939314
| 7.372742
| 7.848941
| 7.031591
| 7.03249
| 7.251044
| 7.248915
| 6.840085
| 6.956579
| 8.483716
| 6.790565
| 6.759389
| 7.236822
| 6.691727
| 6.774057
| 6.875339
| 6.800212
| 6.701346
| 6.742249
| 7.133975
| 6.596824
|
1703.05397
|
Hitoshi Nishino
|
Hitoshi Nishino and Subhash Rajpoot
|
Massive Interacting Yang-Mills Multiplets Nine and Five Dimensions
|
14 pages, no figures, Abstract shortened, new 4 ~ 6th paragraphs
added in Introduction with the new references [8] ~ [14]
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present interacting massive N=1 vector multiplet (VM) in nine dimensions
(9D). Due to the identically-vanishing mass-term m(\Bar\lambda \lambda ) \equiv
0 for (symplectic) pseudo-Majorana gaugino in 9D, we employ unconventional
technique to give masses to fermions. In 9D, we consider the gauge group G for
the VM (A_\mu{}^I, \lambda^I , \varphi^I) (I = 1, 2, \cdots, dim G), where G is
the Yang-Mills gauge group, and the gaugino \lambda^I is a pseudo-Majorana
spinor. We break G by shifting the scalar \varphi^I, so that the gaugino
\lambda^I as well as its super-partner gauge boson A_\mu{}^I will get the same
mass. The scalar \varphi^I plays the role of a Nambu-Goldstone boson absorbed
into the longitudinal components of A_\mu{}^I$, making the latter massive as a
super-Proca-Stueckelberg mechanism. We also show that a similar method can be
also applied to N=2 VMs in 5D.
|
[
{
"created": "Wed, 15 Mar 2017 21:49:31 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jul 2017 23:03:19 GMT",
"version": "v2"
}
] |
2017-07-11
|
[
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] |
We present interacting massive N=1 vector multiplet (VM) in nine dimensions (9D). Due to the identically-vanishing mass-term m(\Bar\lambda \lambda ) \equiv 0 for (symplectic) pseudo-Majorana gaugino in 9D, we employ unconventional technique to give masses to fermions. In 9D, we consider the gauge group G for the VM (A_\mu{}^I, \lambda^I , \varphi^I) (I = 1, 2, \cdots, dim G), where G is the Yang-Mills gauge group, and the gaugino \lambda^I is a pseudo-Majorana spinor. We break G by shifting the scalar \varphi^I, so that the gaugino \lambda^I as well as its super-partner gauge boson A_\mu{}^I will get the same mass. The scalar \varphi^I plays the role of a Nambu-Goldstone boson absorbed into the longitudinal components of A_\mu{}^I$, making the latter massive as a super-Proca-Stueckelberg mechanism. We also show that a similar method can be also applied to N=2 VMs in 5D.
| 7.695354
| 7.251925
| 8.15629
| 7.374644
| 7.302509
| 7.837784
| 7.670707
| 7.482212
| 7.194245
| 8.949451
| 7.477937
| 7.207219
| 7.690013
| 7.130846
| 7.284688
| 7.35146
| 6.920389
| 6.933784
| 7.323545
| 7.660451
| 7.006017
|
2209.05088
|
Kirill Krasnov
|
Kirill Krasnov
|
Geometry of Spin(10) Symmetry Breaking
|
v2: new characterisation of 10D pure spinors added, main statement
sharpened; 36 pages, no figures
| null | null | null |
hep-th hep-ph math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a new characterisation of the Standard Model gauge group GSM as a
subgroup of Spin(10). The new description of GSM relies on the geometry of pure
spinors. We show that GSM is the subgroup that stabilises a pure spinor Psi_1
and projectively stabilises another pure spinor Psi_2, with Psi_1, Psi_2
orthogonal and such that their arbitrary linear combination is still a pure
spinor. Our characterisation of GSM relies on the facts that projective pure
spinors describe complex structures on R^{10}, and the product of two commuting
complex structures is a what is known as a product structure. For the pure
spinors Psi_1, Psi_2 satisfying the stated conditions the complex structures
determined by Psi_1, Psi_2 commute and the arising product structure is R^{10}
= R^6 + R^4, giving rise to a copy of Pati-Salam gauge group inside Spin(10).
Our main statement then follows from the fact that GSM is the intersection of
the Georgi-Glashow SU(5) that stabilises Psi_1, and the Pati-Salam Spin(6) x
Spin(4) arising from the product structure determined by Psi_1, Psi_2. We have
tried to make the paper self-contained and provided a detailed description of
the creation/annihilation operator construction of the Clifford algebras Cl(2n)
and the geometry of pure spinors in dimensions up to and including ten.
|
[
{
"created": "Mon, 12 Sep 2022 08:42:02 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2023 12:59:51 GMT",
"version": "v2"
}
] |
2023-01-24
|
[
[
"Krasnov",
"Kirill",
""
]
] |
We provide a new characterisation of the Standard Model gauge group GSM as a subgroup of Spin(10). The new description of GSM relies on the geometry of pure spinors. We show that GSM is the subgroup that stabilises a pure spinor Psi_1 and projectively stabilises another pure spinor Psi_2, with Psi_1, Psi_2 orthogonal and such that their arbitrary linear combination is still a pure spinor. Our characterisation of GSM relies on the facts that projective pure spinors describe complex structures on R^{10}, and the product of two commuting complex structures is a what is known as a product structure. For the pure spinors Psi_1, Psi_2 satisfying the stated conditions the complex structures determined by Psi_1, Psi_2 commute and the arising product structure is R^{10} = R^6 + R^4, giving rise to a copy of Pati-Salam gauge group inside Spin(10). Our main statement then follows from the fact that GSM is the intersection of the Georgi-Glashow SU(5) that stabilises Psi_1, and the Pati-Salam Spin(6) x Spin(4) arising from the product structure determined by Psi_1, Psi_2. We have tried to make the paper self-contained and provided a detailed description of the creation/annihilation operator construction of the Clifford algebras Cl(2n) and the geometry of pure spinors in dimensions up to and including ten.
| 6.465942
| 6.552758
| 7.129064
| 6.50839
| 7.24699
| 6.914423
| 6.77369
| 6.33313
| 6.728444
| 7.322638
| 6.309987
| 6.404585
| 6.495952
| 6.525351
| 6.515427
| 6.316975
| 6.396473
| 6.446192
| 6.373726
| 6.66488
| 6.233769
|
0711.0712
|
Ruth Lazkoz
|
Luis P. Chimento and Ruth Lazkoz
|
Bridging geometries and potentials in DBI cosmologies
|
7 pages, 3 figures, revtex
|
Gen.Rel.Grav.40:2543-2555,2008
|
10.1007/s10714-008-0637-1
| null |
hep-th astro-ph gr-qc
| null |
We investigate the link between the warp function and the potential in DBI
cosmologies in connection with the possibility they represent power-law
solutions. A prescription is given to take advantage of the known result that
given a warp factor there is always a choice of potential resulting in a
constant ratio between pressure and energy density. The method is illustrated
with examples with interesting models for either the warp factor or the
potential. We complete this investigation by giving a recipe to exploit
symmetries in order to generate new solutions from existing ones; this method
can be applied, for instance, to the power-law cosmologies obtained using our
prescription.
|
[
{
"created": "Mon, 5 Nov 2007 18:24:36 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Chimento",
"Luis P.",
""
],
[
"Lazkoz",
"Ruth",
""
]
] |
We investigate the link between the warp function and the potential in DBI cosmologies in connection with the possibility they represent power-law solutions. A prescription is given to take advantage of the known result that given a warp factor there is always a choice of potential resulting in a constant ratio between pressure and energy density. The method is illustrated with examples with interesting models for either the warp factor or the potential. We complete this investigation by giving a recipe to exploit symmetries in order to generate new solutions from existing ones; this method can be applied, for instance, to the power-law cosmologies obtained using our prescription.
| 14.379398
| 14.415407
| 13.625012
| 13.458069
| 14.899555
| 15.284414
| 15.12822
| 12.877704
| 14.216371
| 14.322038
| 14.087032
| 14.106727
| 13.621803
| 13.14172
| 13.605267
| 13.907665
| 14.878218
| 13.055486
| 13.89561
| 14.036929
| 13.733829
|
0902.1539
|
Carlos Mafra
|
Carlos R. Mafra and Christian Stahn
|
The One-loop Open Superstring Massless Five-point Amplitude with the
Non-Minimal Pure Spinor Formalism
|
38 pages, harvmac TeX, v2: fix typo in (4.2) and add reference
|
JHEP 0903:126,2009
|
10.1088/1126-6708/2009/03/126
|
AEI-2009-013
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the massless five-point amplitude of open superstrings using the
non-minimal pure spinor formalism and obtain a simple kinematic factor in pure
spinor superspace, which can be viewed as the natural extension of the
kinematic factor of the massless four-point amplitude. It encodes bosonic and
fermionic external states in supersymmetric form and reduces to existing
bosonic amplitudes when expanded in components, therefore proving their
equivalence. We also show how to compute the kinematic structures involving
fermionic states.
|
[
{
"created": "Tue, 10 Feb 2009 20:53:22 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Feb 2009 19:31:48 GMT",
"version": "v2"
}
] |
2009-04-13
|
[
[
"Mafra",
"Carlos R.",
""
],
[
"Stahn",
"Christian",
""
]
] |
We compute the massless five-point amplitude of open superstrings using the non-minimal pure spinor formalism and obtain a simple kinematic factor in pure spinor superspace, which can be viewed as the natural extension of the kinematic factor of the massless four-point amplitude. It encodes bosonic and fermionic external states in supersymmetric form and reduces to existing bosonic amplitudes when expanded in components, therefore proving their equivalence. We also show how to compute the kinematic structures involving fermionic states.
| 9.56971
| 8.977971
| 12.016022
| 8.131332
| 9.145496
| 9.254548
| 8.74819
| 8.336011
| 9.105964
| 11.150105
| 8.727347
| 9.117462
| 9.497538
| 9.050082
| 8.928173
| 9.14795
| 9.113108
| 8.75796
| 9.376863
| 9.792004
| 9.030709
|
1612.02772
|
Victor Lekeu
|
Marc Henneaux, Victor Lekeu, Amaury Leonard
|
Chiral Tensors of Mixed Young Symmetry
|
Expanded version with 3 appendices providing explicit proofs of
central results
|
Phys. Rev. D 95, 084040 (2017)
|
10.1103/PhysRevD.95.084040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Chiral tensors of mixed Young symmetry, which exist in the same spacetime
dimensions $2 + 4n$ where chiral $p$-forms can be defined, are investigated.
Such chiral tensors have been argued to play a central role in exotic
formulations of gravity in 6 dimensions and possess intriguing properties. A
variational principle that yields the chiral equations of motion is explicitly
constructed and related to the action for a non-chiral tensor. The use of
prepotentials turns out to be essential in our analysis. We also comment on
dimensional reduction.
|
[
{
"created": "Thu, 8 Dec 2016 18:53:27 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Apr 2017 08:48:24 GMT",
"version": "v2"
}
] |
2017-05-03
|
[
[
"Henneaux",
"Marc",
""
],
[
"Lekeu",
"Victor",
""
],
[
"Leonard",
"Amaury",
""
]
] |
Chiral tensors of mixed Young symmetry, which exist in the same spacetime dimensions $2 + 4n$ where chiral $p$-forms can be defined, are investigated. Such chiral tensors have been argued to play a central role in exotic formulations of gravity in 6 dimensions and possess intriguing properties. A variational principle that yields the chiral equations of motion is explicitly constructed and related to the action for a non-chiral tensor. The use of prepotentials turns out to be essential in our analysis. We also comment on dimensional reduction.
| 14.145265
| 12.2679
| 12.963709
| 11.943654
| 11.595074
| 11.883199
| 11.175186
| 11.305148
| 11.507299
| 14.405831
| 11.601995
| 11.158853
| 12.74518
| 12.145523
| 11.547198
| 11.216855
| 11.565245
| 11.380084
| 11.88012
| 12.496716
| 11.201867
|
hep-th/9510026
|
T. Jacobson
|
Theodore A. Jacobson
|
Introduction to Black Hole Microscopy
|
Latex file, 26 pages; 12 figures included using psfig
| null | null |
Utrecht preprint THU-95/23
|
hep-th gr-qc
| null |
The aim of these notes is both to review the standard understanding of the
Hawking effect, and to discuss the modifications to this understanding that
might be required by new physics at short distances. The fundamentals of the
Unruh effect are reviewed, and then the Hawking effect is explained as a
``gravitational Unruh effect", with particular attention to the
state-dependence of this picture. The order of magnitude of deviations from the
thermal spectrum of Hawking radiation is estimated under various hypotheses on
physics at short distances. The behavior of black hole radiation in a linear
model with altered short distance physics---the Unruh model---is discussed in
detail. [Based on lectures given at the First Mexican School on Gravitation and
Mathematical Physics, Guanajuato, December 1994.]
|
[
{
"created": "Fri, 6 Oct 1995 14:29:44 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Jacobson",
"Theodore A.",
""
]
] |
The aim of these notes is both to review the standard understanding of the Hawking effect, and to discuss the modifications to this understanding that might be required by new physics at short distances. The fundamentals of the Unruh effect are reviewed, and then the Hawking effect is explained as a ``gravitational Unruh effect", with particular attention to the state-dependence of this picture. The order of magnitude of deviations from the thermal spectrum of Hawking radiation is estimated under various hypotheses on physics at short distances. The behavior of black hole radiation in a linear model with altered short distance physics---the Unruh model---is discussed in detail. [Based on lectures given at the First Mexican School on Gravitation and Mathematical Physics, Guanajuato, December 1994.]
| 8.491404
| 8.080779
| 8.07531
| 7.467412
| 7.940875
| 8.495438
| 8.3377
| 7.971141
| 7.142054
| 8.185709
| 7.815457
| 7.59467
| 7.668777
| 7.563509
| 7.977962
| 7.875825
| 7.83953
| 7.603563
| 7.51019
| 7.753816
| 7.908536
|
hep-th/0108129
| null |
Betti Hartmann (Oldenburg University, Germany), Burkhard Kleihaus
(UCD, Ireland) and Jutta Kunz (Oldenburg University, Germany)
|
Axially Symmetric Monopoles and Black Holes in Einstein-Yang-Mills-Higgs
Theory
|
23 Revtex pages, 43 Postscript figures
|
Phys.Rev. D65 (2002) 024027
|
10.1103/PhysRevD.65.024027
| null |
hep-th
| null |
We investigate static axially symmetric monopole and black hole solutions
with magnetic charge n > 1 in Einstein-Yang-Mills-Higgs theory. For vanishing
and small Higgs selfcoupling, multimonopole solutions are gravitationally
bound. Their mass per unit charge is lower than the mass of the n=1 monopole.
For large Higgs selfcoupling only a repulsive phase exists. The static axially
symmetric hairy black hole solutions possess a deformed horizon with constant
surface gravity. We consider their properties in the isolated horizon
framework, interpreting them as bound states of monopoles and black holes.
Representing counterexamples to the ``no-hair'' conjecture, these black holes
are neither uniquely characterized by their horizon area and horizon charge.
|
[
{
"created": "Fri, 17 Aug 2001 20:20:11 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Hartmann",
"Betti",
"",
"Oldenburg University, Germany"
],
[
"Kleihaus",
"Burkhard",
"",
"UCD, Ireland"
],
[
"Kunz",
"Jutta",
"",
"Oldenburg University, Germany"
]
] |
We investigate static axially symmetric monopole and black hole solutions with magnetic charge n > 1 in Einstein-Yang-Mills-Higgs theory. For vanishing and small Higgs selfcoupling, multimonopole solutions are gravitationally bound. Their mass per unit charge is lower than the mass of the n=1 monopole. For large Higgs selfcoupling only a repulsive phase exists. The static axially symmetric hairy black hole solutions possess a deformed horizon with constant surface gravity. We consider their properties in the isolated horizon framework, interpreting them as bound states of monopoles and black holes. Representing counterexamples to the ``no-hair'' conjecture, these black holes are neither uniquely characterized by their horizon area and horizon charge.
| 7.731391
| 6.745421
| 7.780208
| 6.875574
| 7.45184
| 6.973437
| 6.385582
| 6.941103
| 6.966641
| 7.883475
| 7.34437
| 7.047496
| 7.407957
| 7.441748
| 7.436502
| 6.936072
| 7.342328
| 7.126765
| 7.136908
| 7.5736
| 7.178009
|
hep-th/0402050
|
Robert A. McNees
|
Finn Larsen and Robert McNees
|
Holography, Diffeomorphisms, and Scaling Violations in the CMB
|
35+1 pages; added reference in the Introduction, corrected typos
|
JHEP 0407 (2004) 062
|
10.1088/1126-6708/2004/07/062
|
MCTP-04-06
|
hep-th astro-ph
| null |
We analyze diffeomorphism invariance in inflationary spacetimes regulated by
a boundary at late time. We present the action for quadratic fluctuations in
the presence of a boundary, and verify that it is gauge invariant precisely
when the correct local counterterms are included. The scaling behavior of bulk
correlation functions at the boundary is determined by Callan-Symanzik
equations which predict scaling violations in agreement with the standard
inflationary predictions for spectral indices of the CMB.
|
[
{
"created": "Thu, 5 Feb 2004 21:46:43 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Feb 2004 16:56:14 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Larsen",
"Finn",
""
],
[
"McNees",
"Robert",
""
]
] |
We analyze diffeomorphism invariance in inflationary spacetimes regulated by a boundary at late time. We present the action for quadratic fluctuations in the presence of a boundary, and verify that it is gauge invariant precisely when the correct local counterterms are included. The scaling behavior of bulk correlation functions at the boundary is determined by Callan-Symanzik equations which predict scaling violations in agreement with the standard inflationary predictions for spectral indices of the CMB.
| 12.187729
| 11.12884
| 13.492896
| 11.561171
| 12.941802
| 11.532697
| 12.075793
| 12.322328
| 11.868026
| 14.820401
| 10.993648
| 11.225542
| 12.883757
| 11.568692
| 11.728104
| 11.496744
| 11.966293
| 11.649096
| 11.816805
| 13.051402
| 11.862711
|
0809.4008
|
Eugene Lim
|
Peter Adshead, Richard Easther, Eugene A. Lim
|
Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop
Corrections
|
Typos corrected. Matches published version
|
Phys.Rev.D79:063504,2009
|
10.1103/PhysRevD.79.063504
| null |
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the consequences of the existence of a very large number of light
scalar degrees of freedom in the early universe. We distinguish between
participator and spectator fields. The former have a small mass, and can
contribute to the inflationary dynamics; the latter are either strictly
massless or have a negligible VEV. In N-flation and generic assisted inflation
scenarios, inflation is a co-operative phenomenon driven by N participator
fields, none of which could drive inflation on their own. We review upper
bounds on N, as a function of the inflationary Hubble scale H. We then consider
stochastic and eternal inflation in models with N participator fields showing
that individual fields may evolve stochastically while the whole ensemble
behaves deterministically, and that a wide range of eternal inflationary
scenarios are possible in this regime. We then compute one-loop quantum
corrections to the inflationary power spectrum. These are largest with N
spectator fields and a single participator field, and the resulting bound on N
is always weaker than those obtained in other ways. We find that loop
corrections to the N-flation power spectrum do not scale with N, and thus place
no upper bound on the number of participator fields. This result also implies
that, at least to leading order, the theory behaves like a composite single
scalar field. In order to perform this calculation, we address a number of
issues associated with loop calculations in the Schwinger-Keldysh "in-in"
formalism.
|
[
{
"created": "Tue, 23 Sep 2008 20:17:27 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Nov 2008 20:22:12 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Mar 2009 19:36:21 GMT",
"version": "v3"
}
] |
2009-05-11
|
[
[
"Adshead",
"Peter",
""
],
[
"Easther",
"Richard",
""
],
[
"Lim",
"Eugene A.",
""
]
] |
We explore the consequences of the existence of a very large number of light scalar degrees of freedom in the early universe. We distinguish between participator and spectator fields. The former have a small mass, and can contribute to the inflationary dynamics; the latter are either strictly massless or have a negligible VEV. In N-flation and generic assisted inflation scenarios, inflation is a co-operative phenomenon driven by N participator fields, none of which could drive inflation on their own. We review upper bounds on N, as a function of the inflationary Hubble scale H. We then consider stochastic and eternal inflation in models with N participator fields showing that individual fields may evolve stochastically while the whole ensemble behaves deterministically, and that a wide range of eternal inflationary scenarios are possible in this regime. We then compute one-loop quantum corrections to the inflationary power spectrum. These are largest with N spectator fields and a single participator field, and the resulting bound on N is always weaker than those obtained in other ways. We find that loop corrections to the N-flation power spectrum do not scale with N, and thus place no upper bound on the number of participator fields. This result also implies that, at least to leading order, the theory behaves like a composite single scalar field. In order to perform this calculation, we address a number of issues associated with loop calculations in the Schwinger-Keldysh "in-in" formalism.
| 9.39944
| 9.607261
| 9.604613
| 9.114098
| 9.888947
| 9.37405
| 9.460434
| 9.108154
| 9.532073
| 9.864315
| 8.625566
| 9.312842
| 9.333654
| 9.350231
| 9.120372
| 8.946261
| 9.060587
| 8.830701
| 9.147913
| 9.288519
| 9.26547
|
hep-th/9609051
|
Michael Dine
|
Michael Dine
|
String Theory Dualities
|
Plenary Talk at DPF 96, aimed at non-experts. 12 pages, latex
| null | null |
SCIPP 96/38
|
hep-th hep-ph
| null |
The past year has seen enormous progress in string theory. It has become
clear that all of the different string theories are different limits of a
single theory. Moreover, in certain limits, one obtains a new,
eleven-dimensional structure known as $M$-theory. Strings with unusual boundary
conditions, known as D-branes, turn out to be soliton solutions of string
theory. These have provided a powerful tool to probe the structure of these
theories. Most dramatically, they have yielded a partial understanding of the
thermodynamics of black holes in a consistent quantum mechanical framework. In
this brief talk, I attempt to give some flavor of these developments.
|
[
{
"created": "Fri, 6 Sep 1996 01:30:52 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dine",
"Michael",
""
]
] |
The past year has seen enormous progress in string theory. It has become clear that all of the different string theories are different limits of a single theory. Moreover, in certain limits, one obtains a new, eleven-dimensional structure known as $M$-theory. Strings with unusual boundary conditions, known as D-branes, turn out to be soliton solutions of string theory. These have provided a powerful tool to probe the structure of these theories. Most dramatically, they have yielded a partial understanding of the thermodynamics of black holes in a consistent quantum mechanical framework. In this brief talk, I attempt to give some flavor of these developments.
| 7.852575
| 7.821195
| 8.760903
| 7.275369
| 8.332664
| 8.428867
| 7.973146
| 7.636759
| 7.402206
| 7.915087
| 8.051285
| 7.355737
| 7.527982
| 7.121806
| 7.306336
| 7.325491
| 7.261433
| 7.420776
| 7.242007
| 7.449966
| 7.812205
|
1108.5735
|
Thomas Hartman
|
Dionysios Anninos, Thomas Hartman, and Andrew Strominger
|
Higher Spin Realization of the dS/CFT Correspondence
|
18 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We conjecture that Vasiliev's theory of higher spin gravity in
four-dimensional de Sitter space (dS) is holographically dual to a
three-dimensional conformal field theory (CFT) living on the spacelike boundary
of dS at future timelike infinity. The CFT is the Euclidean Sp(N) vector model
with anticommuting scalars. The free CFT flows under a double-trace deformation
to an interacting CFT in the IR. We argue that both CFTs are dual to Vasiliev
dS gravity but with different future boundary conditions on the bulk scalar
field. Our analysis rests heavily on analytic continuations of bulk and
boundary correlators in the proposed duality relating the O(N) model with
Vasiliev gravity in AdS.
|
[
{
"created": "Mon, 29 Aug 2011 20:00:06 GMT",
"version": "v1"
}
] |
2011-08-31
|
[
[
"Anninos",
"Dionysios",
""
],
[
"Hartman",
"Thomas",
""
],
[
"Strominger",
"Andrew",
""
]
] |
We conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike infinity. The CFT is the Euclidean Sp(N) vector model with anticommuting scalars. The free CFT flows under a double-trace deformation to an interacting CFT in the IR. We argue that both CFTs are dual to Vasiliev dS gravity but with different future boundary conditions on the bulk scalar field. Our analysis rests heavily on analytic continuations of bulk and boundary correlators in the proposed duality relating the O(N) model with Vasiliev gravity in AdS.
| 6.371978
| 6.627635
| 7.98564
| 6.358773
| 6.675613
| 6.472893
| 6.515086
| 6.526055
| 6.475649
| 9.869686
| 6.203199
| 6.497168
| 7.004689
| 6.589977
| 6.373216
| 6.60568
| 6.72132
| 6.187112
| 6.578653
| 7.03712
| 6.380238
|
1608.08116
|
Matthew von Hippel
|
Ho Tat Lam and Matt von Hippel
|
Resumming the POPE at One Loop
|
11 pages, 1 figure; v2, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Pentagon Operator Product Expansion represents polygonal Wilson loops in
planar $\mathcal{N}=4$ super Yang-Mills in terms of a series of flux tube
excitations for finite coupling. We demonstrate how to re-sum this series at
the one loop level for the hexagonal Wilson loop dual to the six-point MHV
amplitude. By summing over a series of effective excitations we find
expressions which integrate to logarithms and polylogarithms, reproducing the
known one-loop result.
|
[
{
"created": "Mon, 29 Aug 2016 15:50:50 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2016 13:36:55 GMT",
"version": "v2"
}
] |
2016-09-27
|
[
[
"Lam",
"Ho Tat",
""
],
[
"von Hippel",
"Matt",
""
]
] |
The Pentagon Operator Product Expansion represents polygonal Wilson loops in planar $\mathcal{N}=4$ super Yang-Mills in terms of a series of flux tube excitations for finite coupling. We demonstrate how to re-sum this series at the one loop level for the hexagonal Wilson loop dual to the six-point MHV amplitude. By summing over a series of effective excitations we find expressions which integrate to logarithms and polylogarithms, reproducing the known one-loop result.
| 13.779022
| 9.006193
| 10.968459
| 8.328587
| 9.144292
| 9.653105
| 7.96236
| 8.520186
| 8.019768
| 12.000051
| 8.990628
| 8.41611
| 10.34831
| 8.614197
| 9.186216
| 8.948167
| 9.246285
| 8.861525
| 8.504932
| 9.984908
| 9.732613
|
0904.4772
|
Matthew Lippert
|
Gilad Lifschytz and Matthew Lippert
|
Anomalous conductivity in holographic QCD
|
12 pages, 1 figure
|
Phys.Rev.D80:066005,2009
|
10.1103/PhysRevD.80.066005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the longitudinal and Hall conductivities in the parallel phase of
the Sakai-Sugimoto model with a transverse magnetic field. We find that the
conductivities behave as if the charge of the system is made out of two
different types; one behaves as charge carriers flowing through a dissipative
neutral medium, while the other does not feel the dissipation. We also
investigate the case of an electric field parallel to the magnetic field and
find that in this case the system behaves as a perfect conductor. Both of the
unusual behaviors stem from the axial anomaly.
|
[
{
"created": "Thu, 30 Apr 2009 09:43:32 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2009 10:03:13 GMT",
"version": "v2"
}
] |
2009-09-24
|
[
[
"Lifschytz",
"Gilad",
""
],
[
"Lippert",
"Matthew",
""
]
] |
We compute the longitudinal and Hall conductivities in the parallel phase of the Sakai-Sugimoto model with a transverse magnetic field. We find that the conductivities behave as if the charge of the system is made out of two different types; one behaves as charge carriers flowing through a dissipative neutral medium, while the other does not feel the dissipation. We also investigate the case of an electric field parallel to the magnetic field and find that in this case the system behaves as a perfect conductor. Both of the unusual behaviors stem from the axial anomaly.
| 9.28292
| 9.022491
| 10.208695
| 9.652449
| 10.194255
| 9.580263
| 10.200105
| 9.257059
| 9.358582
| 10.592559
| 9.202282
| 8.86711
| 9.682015
| 8.964046
| 8.688474
| 9.101679
| 9.093242
| 9.08822
| 9.037992
| 9.559448
| 8.598559
|
hep-th/9411023
| null |
G. V. Grigoryan, R. P. Grigoryan, G. A. Sarkissian
|
Pseudoclassical and quantum theory of the D=2n dimensional relativistic
spinning particle with anomalous "magnetic" moment in the external Yang-Mills
field
|
10 pages, latex file
|
Phys.Atom.Nucl. 59 (1996) 524-528; Yad.Fiz. 59N3 (1996) 552-556
| null |
YERPHY-1412(8)-94
|
hep-th
| null |
The pseudoclassical hamiltonian and action of the $D=2n$ dimensional Dirac
particle with anomalous magnetic moment interacting with the external
Yang-Mills field are found. The Bargmann-Michel-Telegdi equation of motion for
the Pauli-Lubanski vector is deduced. The canonical quantization of $D=2n$
dimensional Dirac spinning particle with anomalous magnetic moment in the
external Yang-Mills field is carried out in the gauge which allows to describe
simultaneously particles and antiparticles (massive and massless) already at
the classical level. Pseudoclassical Foldy-Wouthuysen transformation is used to
obtain canonical (Newton-Wigner) coordinates and in terms of these variables
the theory is quantized.
|
[
{
"created": "Thu, 3 Nov 1994 11:35:11 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Grigoryan",
"G. V.",
""
],
[
"Grigoryan",
"R. P.",
""
],
[
"Sarkissian",
"G. A.",
""
]
] |
The pseudoclassical hamiltonian and action of the $D=2n$ dimensional Dirac particle with anomalous magnetic moment interacting with the external Yang-Mills field are found. The Bargmann-Michel-Telegdi equation of motion for the Pauli-Lubanski vector is deduced. The canonical quantization of $D=2n$ dimensional Dirac spinning particle with anomalous magnetic moment in the external Yang-Mills field is carried out in the gauge which allows to describe simultaneously particles and antiparticles (massive and massless) already at the classical level. Pseudoclassical Foldy-Wouthuysen transformation is used to obtain canonical (Newton-Wigner) coordinates and in terms of these variables the theory is quantized.
| 6.242036
| 5.117364
| 6.299502
| 5.017728
| 4.695051
| 4.716236
| 5.211386
| 4.943114
| 5.229113
| 6.290786
| 5.1175
| 5.563756
| 5.796633
| 5.563465
| 5.530212
| 5.496722
| 5.649262
| 5.561597
| 5.645164
| 5.91115
| 5.400978
|
hep-th/9302027
|
Cobi Sonnenschein
|
O. Aharony, O. Ganor, J. Sonnenschein and S. Yankielowicz
|
c=1 String Theory as a Topological G/G Model
|
19p
|
Phys.Lett.B305:35-42,1993
|
10.1016/0370-2693(93)91102-S
| null |
hep-th
| null |
The physical states on the free field Fock space of the ${SL(2,R)\over
SL(2,R)$ model at any level are computed. Using a similarity transformation on
$Q_{BRST}$, the cohomology of the latter is mapped into a direct sum of simpler
cohomologies. We show a one to one correspondence between the states of the
$k=-1$ model and those of the $c=1$ string model. A full equivalence between
the ${SL(2,R)\over SL(2,R)$ and ${SL(2,R)\over U(1)$ models at the level of
their Fock space cohomologies is found.
|
[
{
"created": "Mon, 8 Feb 1993 13:27:29 GMT",
"version": "v1"
}
] |
2019-08-15
|
[
[
"Aharony",
"O.",
""
],
[
"Ganor",
"O.",
""
],
[
"Sonnenschein",
"J.",
""
],
[
"Yankielowicz",
"S.",
""
]
] |
The physical states on the free field Fock space of the ${SL(2,R)\over SL(2,R)$ model at any level are computed. Using a similarity transformation on $Q_{BRST}$, the cohomology of the latter is mapped into a direct sum of simpler cohomologies. We show a one to one correspondence between the states of the $k=-1$ model and those of the $c=1$ string model. A full equivalence between the ${SL(2,R)\over SL(2,R)$ and ${SL(2,R)\over U(1)$ models at the level of their Fock space cohomologies is found.
| 7.412729
| 6.703661
| 8.716768
| 6.787755
| 7.371574
| 6.550797
| 6.318045
| 7.174277
| 6.614204
| 9.228295
| 6.764248
| 7.183725
| 7.223503
| 6.903252
| 6.897593
| 6.936975
| 7.129195
| 7.158441
| 7.073875
| 7.731026
| 6.756256
|
1611.05808
|
Javier Tarrio
|
Anton F. Faedo, David Mateos, Christiana Pantelidou and Javier Tarrio
|
Holography with a Landau pole
|
26 pages plus appendices, 12 figures. v2: published text
| null |
10.1007/JHEP02(2017)047
|
ICCUB-16-038
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Holography for UV-incomplete gauge theories is important but poorly
understood. A paradigmatic example is $d=4$, $\mathcal{N}=4$ super Yang-Mills
coupled to $N_f$ quark flavors, which possesses a Landau pole at a UV scale
$\Lambda_{LP}$. The dual gravity solution exhibits a UV singularity at a finite
proper distance along the holographic direction. Despite this, holographic
renormalization can be fully implemented via analytic continuation to an AdS
solution. The presence of a UV cut-off manifests itself in several interesting
ways. At energies $E \ll \Lambda_{LP}$ no pathologies appear, as expected from
effective field theory. In contrast, at scales $E \lesssim \Lambda_{LP}$ the
gravitational potential becomes repulsive, and at temperatures $T \lesssim
\Lambda_{LP}$ the specific heat becomes negative. Although we focus on
$\mathcal{N}=4$ super Yang-Mills with flavor, our qualitative results apply to
a much more general class of theories, since they only depend on the fact that
the metric near the UV singularity is a hyper-scaling violating metric with
exponent $\theta > d-1$.
|
[
{
"created": "Thu, 17 Nov 2016 18:23:57 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2017 08:57:17 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Faedo",
"Anton F.",
""
],
[
"Mateos",
"David",
""
],
[
"Pantelidou",
"Christiana",
""
],
[
"Tarrio",
"Javier",
""
]
] |
Holography for UV-incomplete gauge theories is important but poorly understood. A paradigmatic example is $d=4$, $\mathcal{N}=4$ super Yang-Mills coupled to $N_f$ quark flavors, which possesses a Landau pole at a UV scale $\Lambda_{LP}$. The dual gravity solution exhibits a UV singularity at a finite proper distance along the holographic direction. Despite this, holographic renormalization can be fully implemented via analytic continuation to an AdS solution. The presence of a UV cut-off manifests itself in several interesting ways. At energies $E \ll \Lambda_{LP}$ no pathologies appear, as expected from effective field theory. In contrast, at scales $E \lesssim \Lambda_{LP}$ the gravitational potential becomes repulsive, and at temperatures $T \lesssim \Lambda_{LP}$ the specific heat becomes negative. Although we focus on $\mathcal{N}=4$ super Yang-Mills with flavor, our qualitative results apply to a much more general class of theories, since they only depend on the fact that the metric near the UV singularity is a hyper-scaling violating metric with exponent $\theta > d-1$.
| 6.325197
| 6.008153
| 6.764691
| 5.97565
| 6.631241
| 6.045352
| 6.012571
| 5.716804
| 6.122309
| 7.069789
| 5.959474
| 5.871432
| 6.162963
| 5.783683
| 5.909529
| 5.969212
| 5.845297
| 5.978015
| 5.80835
| 6.062142
| 5.86263
|
hep-th/0310198
|
K. Shizuya
|
K. Shizuya
|
Superfield formulation of central charge anomalies in two-dimensional
supersymmetric theories with solitons
|
9 pages, Revtex, one reference added
|
Phys.Rev. D69 (2004) 065021
|
10.1103/PhysRevD.69.065021
|
YITP-03-74
|
hep-th
| null |
A superfield formulation is presented of the central charge anomaly in
quantum corrections to solitons in two-dimensional theories with N=1
supersymmetry. Extensive use is made of the superfield supercurrent, that
places the supercurrent J^{mu}_{alpha}, energy-momentum tensor Theta^{mu nu}
and topological current zeta^{mu} in a supermultiplet, to study the structure
of supersymmetry and related superconformal symmetry in the presence of
solitons. It is shown that the supermultiplet structure of (J^{mu}_{alpha},
Theta^{mu nu}, zeta^{mu}) is kept exact while the topological current
zeta^{\mu} acquires a quantum modification through the superconformal anomaly.
In addition, the one-loop superfield effective action is explicitly constructed
to verify the BPS saturation of the soliton spectrum as well as the effect of
the anomaly.
|
[
{
"created": "Tue, 21 Oct 2003 09:21:08 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Apr 2004 09:24:52 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Shizuya",
"K.",
""
]
] |
A superfield formulation is presented of the central charge anomaly in quantum corrections to solitons in two-dimensional theories with N=1 supersymmetry. Extensive use is made of the superfield supercurrent, that places the supercurrent J^{mu}_{alpha}, energy-momentum tensor Theta^{mu nu} and topological current zeta^{mu} in a supermultiplet, to study the structure of supersymmetry and related superconformal symmetry in the presence of solitons. It is shown that the supermultiplet structure of (J^{mu}_{alpha}, Theta^{mu nu}, zeta^{mu}) is kept exact while the topological current zeta^{\mu} acquires a quantum modification through the superconformal anomaly. In addition, the one-loop superfield effective action is explicitly constructed to verify the BPS saturation of the soliton spectrum as well as the effect of the anomaly.
| 7.661283
| 7.956194
| 8.240861
| 7.714128
| 7.560882
| 7.623254
| 7.809089
| 7.572462
| 7.425828
| 8.271987
| 7.337546
| 7.296021
| 7.558464
| 7.096362
| 7.057662
| 7.264205
| 6.976741
| 7.405661
| 7.131679
| 7.838752
| 7.094054
|
1202.4917
|
Mohammad Reza Setare
|
M. R. Setare and V. Kamali
|
Anti--de Sitter/ boundary conformal field theory correspondence in the
non-relativistic limit
|
13 pages, no figure, three point functions added, typos corrected,
main results and conclusion unchanged
|
Eur. Phys. J. C (2012) 72:2115 DOI 10.1140/epjc/s10052-012-2115-x
|
10.1140/epjc/s10052-012-2115-x
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Boundary conformal field theory (BCFT) is the study of conformal field theory
(CFT) in semi-infinite space-time. In non-relativistic limit
($x\rightarrow\epsilon x, t\rightarrow t, \epsilon\rightarrow 0$), boundary
conformal algebra changes to boundary Galilean conformal algebra (BGCA). In
this work, some aspects of AdS/BCFT in non-relatvistic limit were explored. We
constrain correlation functions of Galilean conformal invariant fields with
BGCA generators. For a situation with a boundary condition at surface $x=0$
($z=\bar{z}$), our result is agree with non-relativistic limit of BCFT
two-point function. We also, introduce holographic dual of boundary Galilean
conformal field theory.
|
[
{
"created": "Tue, 21 Feb 2012 06:13:51 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Apr 2012 12:08:03 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Sep 2012 13:44:37 GMT",
"version": "v3"
}
] |
2015-06-04
|
[
[
"Setare",
"M. R.",
""
],
[
"Kamali",
"V.",
""
]
] |
Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) in semi-infinite space-time. In non-relativistic limit ($x\rightarrow\epsilon x, t\rightarrow t, \epsilon\rightarrow 0$), boundary conformal algebra changes to boundary Galilean conformal algebra (BGCA). In this work, some aspects of AdS/BCFT in non-relatvistic limit were explored. We constrain correlation functions of Galilean conformal invariant fields with BGCA generators. For a situation with a boundary condition at surface $x=0$ ($z=\bar{z}$), our result is agree with non-relativistic limit of BCFT two-point function. We also, introduce holographic dual of boundary Galilean conformal field theory.
| 7.501526
| 7.15414
| 8.688719
| 7.109669
| 7.402395
| 7.468146
| 7.27634
| 7.180463
| 7.401947
| 9.383686
| 6.906009
| 6.955721
| 7.672489
| 6.83071
| 7.037226
| 6.688387
| 6.792505
| 7.002835
| 7.032773
| 7.769751
| 6.945238
|
2201.05054
|
Sabrina Pasterski
|
Sabrina Pasterski and Herman Verlinde
|
Mapping SYK to the Sky
|
16 pages
| null |
10.1007/JHEP09(2022)047
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The infrared behavior of gravity in 4D asymptotically flat spacetime exhibits
a rich set of symmetries. This has led to a proposed holographic duality
between the gravitational $\mathcal{S}$-matrix and a dual field theory living
on the celestial sphere. Most of our current understanding of the dictionary
relies on knowledge of the 4D bulk. As such, identifying intrinsic 2D models
that capture the correct symmetries and soft dynamics of 4D gravity is an
active area of interest. Here we propose that a 2D generalization of SYK
provides an instructive toy model for the soft limit of the gravitational
sector in 4D asymptotically flat spacetime. We find that the symmetries and
soft dynamics of the 2D SYK model capture the salient features of the celestial
theory: exhibiting chaotic dynamics, conformal invariance, and a $w_{1+\infty}$
symmetry. The holographic map from 2D SYK operators to the 4D bulk employs the
Penrose twistor transform.
|
[
{
"created": "Thu, 13 Jan 2022 16:28:22 GMT",
"version": "v1"
}
] |
2022-09-21
|
[
[
"Pasterski",
"Sabrina",
""
],
[
"Verlinde",
"Herman",
""
]
] |
The infrared behavior of gravity in 4D asymptotically flat spacetime exhibits a rich set of symmetries. This has led to a proposed holographic duality between the gravitational $\mathcal{S}$-matrix and a dual field theory living on the celestial sphere. Most of our current understanding of the dictionary relies on knowledge of the 4D bulk. As such, identifying intrinsic 2D models that capture the correct symmetries and soft dynamics of 4D gravity is an active area of interest. Here we propose that a 2D generalization of SYK provides an instructive toy model for the soft limit of the gravitational sector in 4D asymptotically flat spacetime. We find that the symmetries and soft dynamics of the 2D SYK model capture the salient features of the celestial theory: exhibiting chaotic dynamics, conformal invariance, and a $w_{1+\infty}$ symmetry. The holographic map from 2D SYK operators to the 4D bulk employs the Penrose twistor transform.
| 7.874099
| 6.803172
| 8.078959
| 7.099164
| 7.227641
| 7.281545
| 7.042876
| 7.323504
| 7.071549
| 8.68427
| 6.878454
| 7.119422
| 7.793382
| 7.266353
| 7.139804
| 7.321023
| 7.12857
| 7.256364
| 7.244042
| 7.686282
| 7.28448
|
1106.5077
|
Kazuki Hasebe
|
Kazuki Hasebe
|
Graded Hopf Maps and Fuzzy Superspheres
|
56 pages, no figures, two tables, references added, minor
corrections, to appear in NPB
|
Nucl.Phys. B 853 (2011) 777-827
|
10.1016/j.nuclphysb.2011.08.013
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue supersymmetric generalizations of fuzzy two- and four-spheres based
on the unitary-orthosymplectic algebras, $uosp(N|2)$ and $uosp(N|4)$,
respectively. Supersymmetric version of Schwinger construction is applied to
derive graded fully symmetric representation for fuzzy superspheres. As a
classical counterpart of fuzzy superspheres, graded versions of 1st and 2nd
Hopf maps are introduced, and their basic geometrical structures are studied.
It is shown that fuzzy superspheres are represented as a "superposition" of
fuzzy superspheres with lower supersymmetries. We also investigate algebraic
structures of fuzzy two- and four-superspheres to identify $su(2|N)$ and
$su(4|N)$ as their enhanced algebraic structures, respectively. Evaluation of
correlation functions manifests such enhanced structure as quantum fluctuations
of fuzzy supersphere.
|
[
{
"created": "Fri, 24 Jun 2011 22:28:06 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2011 09:00:52 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Hasebe",
"Kazuki",
""
]
] |
We argue supersymmetric generalizations of fuzzy two- and four-spheres based on the unitary-orthosymplectic algebras, $uosp(N|2)$ and $uosp(N|4)$, respectively. Supersymmetric version of Schwinger construction is applied to derive graded fully symmetric representation for fuzzy superspheres. As a classical counterpart of fuzzy superspheres, graded versions of 1st and 2nd Hopf maps are introduced, and their basic geometrical structures are studied. It is shown that fuzzy superspheres are represented as a "superposition" of fuzzy superspheres with lower supersymmetries. We also investigate algebraic structures of fuzzy two- and four-superspheres to identify $su(2|N)$ and $su(4|N)$ as their enhanced algebraic structures, respectively. Evaluation of correlation functions manifests such enhanced structure as quantum fluctuations of fuzzy supersphere.
| 8.473043
| 8.733715
| 10.101771
| 8.593867
| 9.531476
| 9.676535
| 8.952189
| 9.412493
| 8.290191
| 10.126544
| 8.494927
| 8.145149
| 8.992086
| 7.924065
| 8.134048
| 8.055123
| 7.940507
| 8.368279
| 8.127101
| 8.80472
| 7.773776
|
1303.3137
|
Ugo Moschella
|
Michel Gaudin and Ugo Moschella
|
Doubly elliptic strings on the (anti-)de Sitter manifold
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new class of elliptic-like strings on two-dimensional manifolds
of constant curvature. Our solutions are related to a class of identities
between Jacobi theta functions and to the geometry of the lightcone in one
(spacelike) dimension more.
|
[
{
"created": "Wed, 13 Mar 2013 11:32:21 GMT",
"version": "v1"
}
] |
2013-03-14
|
[
[
"Gaudin",
"Michel",
""
],
[
"Moschella",
"Ugo",
""
]
] |
We present a new class of elliptic-like strings on two-dimensional manifolds of constant curvature. Our solutions are related to a class of identities between Jacobi theta functions and to the geometry of the lightcone in one (spacelike) dimension more.
| 13.416301
| 12.744383
| 13.218923
| 11.398313
| 11.507766
| 11.694265
| 13.557353
| 12.628693
| 12.714647
| 15.257154
| 12.558295
| 13.041582
| 12.776813
| 12.912878
| 13.713223
| 13.28974
| 12.883151
| 12.712407
| 13.21943
| 12.248448
| 12.253484
|
hep-th/9512012
| null |
H. Lu and C.N. Pope
|
p-brane Solitons in Maximal Supergravities
|
31 pages, Latex, no figures
|
Nucl.Phys.B465:127-156,1996
|
10.1016/0550-3213(96)00048-X
|
CTP TAMU-47/95
|
hep-th
| null |
In this paper, we give a construction of $p$-brane solitons in all maximal
supergravity theories in $4\le D \le 11$ dimensions that are obtainable from
$D=11$ supergravity by dimensional reduction. We first obtain the full bosonic
Lagrangians for all these theories in a formalism adapted to the $p$-brane
soliton construction. The solutions that we consider involve one dilaton field
and one antisymmetric tensor field strength, which are in general linear
combinations of the basic fields of the supergravity theories. We also study
the supersymmetry properties of the solutions by calculating the eigenvalues of
the Bogomol'nyi matrices, which are derived from the commutators of the
supercharges. We give an exhaustive list of the supersymmetric $p$-brane
solutions using field strengths of all degrees $n=4,3,2,1$, and the
non-supersymmetric solutions for $n=4,3,2$. As well as studying elementary and
solitonic solutions, we also discuss dyonic solutions in $D=6$ and $D=4$. In
particular, we find that the Bogomol'nyi matrices for the supersymmetric
massless dyonic solutions have indefinite signature.
|
[
{
"created": "Tue, 5 Dec 1995 01:41:35 GMT",
"version": "v1"
}
] |
2009-10-07
|
[
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] |
In this paper, we give a construction of $p$-brane solitons in all maximal supergravity theories in $4\le D \le 11$ dimensions that are obtainable from $D=11$ supergravity by dimensional reduction. We first obtain the full bosonic Lagrangians for all these theories in a formalism adapted to the $p$-brane soliton construction. The solutions that we consider involve one dilaton field and one antisymmetric tensor field strength, which are in general linear combinations of the basic fields of the supergravity theories. We also study the supersymmetry properties of the solutions by calculating the eigenvalues of the Bogomol'nyi matrices, which are derived from the commutators of the supercharges. We give an exhaustive list of the supersymmetric $p$-brane solutions using field strengths of all degrees $n=4,3,2,1$, and the non-supersymmetric solutions for $n=4,3,2$. As well as studying elementary and solitonic solutions, we also discuss dyonic solutions in $D=6$ and $D=4$. In particular, we find that the Bogomol'nyi matrices for the supersymmetric massless dyonic solutions have indefinite signature.
| 5.634498
| 5.905663
| 6.256833
| 5.600452
| 5.690767
| 6.009861
| 5.758536
| 5.63769
| 5.667123
| 6.188111
| 5.714091
| 5.632123
| 5.902863
| 5.654727
| 5.646433
| 5.710804
| 5.627128
| 5.610719
| 5.607575
| 5.844111
| 5.667688
|
1003.2089
|
Andrei Marshakov
|
A.Marshakov
|
Period Integrals, Quantum Numbers and Confinement in SUSY QCD
|
16 pages, contribution to special volume on Integrable Systems in
Quantum Theory
| null |
10.1007/s11232-010-0135-y
|
FIAN/TD-02/10, ITEP/TH-05/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a direct computation of the period integrals on degenerate
Seiberg-Witten curves for supersymmetric QCD, and show how these periods
determine the changes in the quantum numbers of the states, when passing from
the weak to the strong-coupling domains in the mass moduli space of the theory.
The confinement of monopoles at strong coupling is discussed, and we
demonstrate that the ambiguities in choosing the way in the moduli space do not
influence to the physical conclusions on confinement of monopoles in the phase
with the condensed light dyons.
|
[
{
"created": "Wed, 10 Mar 2010 12:04:31 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Oct 2010 14:04:19 GMT",
"version": "v2"
}
] |
2015-05-18
|
[
[
"Marshakov",
"A.",
""
]
] |
We present a direct computation of the period integrals on degenerate Seiberg-Witten curves for supersymmetric QCD, and show how these periods determine the changes in the quantum numbers of the states, when passing from the weak to the strong-coupling domains in the mass moduli space of the theory. The confinement of monopoles at strong coupling is discussed, and we demonstrate that the ambiguities in choosing the way in the moduli space do not influence to the physical conclusions on confinement of monopoles in the phase with the condensed light dyons.
| 13.308618
| 11.685268
| 13.381016
| 11.209554
| 11.709601
| 11.821216
| 11.570033
| 10.879393
| 11.248636
| 15.04781
| 11.231905
| 11.889323
| 12.751964
| 12.077785
| 11.909259
| 11.948236
| 11.661723
| 11.785005
| 12.042281
| 12.127944
| 11.277364
|
0902.0905
|
Euro Spallucci
|
Patricio Gaete, Euro Spallucci
|
From screening to confinement in a Higgs-like model
|
14 pages, no figures. Inserted 2 new references and comments about
the short-distance physical cut-off. Final version accepted for publication
in PLB
|
Phys.Lett.B675:145-149,2009
|
10.1016/j.physletb.2009.03.061
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a recently proposed Higgs-like model (arXiv:0811.4423
[hep-th]), in the framework of a gauge-invariant but path-dependent variables
formalism. We compute the static potential between test charges in a condensate
of scalars and fermions. In the case of charged massive scalar we recover the
screening potential. On the other hand, in the Higgs case, with a "tachyonic"
mass term and a quartic potential in the Lagrangian, unexpected features are
found. It is observed that the interaction energy is the sum of an
effective-Yukawa and a linear potential, leading to the confinement of static
charges.
|
[
{
"created": "Thu, 5 Feb 2009 15:41:08 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Mar 2009 08:20:47 GMT",
"version": "v2"
}
] |
2010-03-26
|
[
[
"Gaete",
"Patricio",
""
],
[
"Spallucci",
"Euro",
""
]
] |
We investigate a recently proposed Higgs-like model (arXiv:0811.4423 [hep-th]), in the framework of a gauge-invariant but path-dependent variables formalism. We compute the static potential between test charges in a condensate of scalars and fermions. In the case of charged massive scalar we recover the screening potential. On the other hand, in the Higgs case, with a "tachyonic" mass term and a quartic potential in the Lagrangian, unexpected features are found. It is observed that the interaction energy is the sum of an effective-Yukawa and a linear potential, leading to the confinement of static charges.
| 10.641737
| 7.78985
| 10.745811
| 8.107827
| 8.277195
| 7.228095
| 7.997481
| 8.101255
| 8.112443
| 11.180641
| 8.010963
| 8.241901
| 10.336048
| 9.438538
| 9.155624
| 8.737178
| 8.929016
| 8.851683
| 9.563725
| 10.201449
| 8.969204
|
hep-th/0201252
|
Uwe Trittmann
|
U. Trittmann
|
Testing the Maldacena conjecture with SDLCQ
|
5 pp., 2 figures, to appear in the proceedings of the "Second Meeting
on CPT and Lorentz Symmetry", Bloomington, Indiana, August 2001 (World
Scientific, Singapore); reference corrected
| null |
10.1142/9789812778123_0046
| null |
hep-th
| null |
We report on a test of the Maldacena conjecture. This string/field theory
correspondence has interesting applications. When combined with Rehren's
theorem, it has implications for issues concerning space-time structure and
Lorentz symmetry. Our results indicate that the conjecture is correct. We are
within 10-15% of the expected results, although the numerical evidence is not
yet decisive.
|
[
{
"created": "Wed, 30 Jan 2002 18:00:45 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Feb 2002 15:48:07 GMT",
"version": "v2"
}
] |
2017-08-23
|
[
[
"Trittmann",
"U.",
""
]
] |
We report on a test of the Maldacena conjecture. This string/field theory correspondence has interesting applications. When combined with Rehren's theorem, it has implications for issues concerning space-time structure and Lorentz symmetry. Our results indicate that the conjecture is correct. We are within 10-15% of the expected results, although the numerical evidence is not yet decisive.
| 12.803076
| 12.333464
| 13.037784
| 11.143206
| 12.484641
| 11.254424
| 12.488166
| 12.922722
| 12.258966
| 12.110034
| 11.730228
| 11.328627
| 12.690997
| 11.486552
| 11.725487
| 11.241099
| 11.139844
| 11.82702
| 11.375896
| 11.92011
| 11.145419
|
hep-th/9712121
|
Murray. Batchelor
|
M.T. Batchelor (ANU) and K.A. Seaton (La Trobe)
|
Correlation lengths and E_8 mass spectrum of the dilute A_3 lattice
model
|
57 pages, Latex, Elsevier style files
|
Nucl.Phys. B520 (1998) 697-744
|
10.1016/S0550-3213(98)00178-3
|
ANU MRR 062-97
|
hep-th cond-mat.stat-mech
| null |
The exact perturbation approach is used to derive the elementary correlation
lengths $\xi_i$ and related mass gaps $m_i$ of the two-dimensional dilute A_L
lattice model in regimes 1 and 2 for L odd from the Bethe Ansatz solution. In
regime 2 the A_3 model is the E_8 lattice realisation of the two-dimensional
Ising model in a magnetic field at T=T_c. The calculations for the A_3 model in
regime 2 start from the eight thermodynamically significant string types found
in previous numerical studies. These string types are seen to be consistent in
the ordered high field limit. The eight masses obtained reduce with the
approach to criticality to the E_8 masses predicted by Zamolodchikov, thus
providing a further direct lattice determination of the E_8 mass spectrum.
|
[
{
"created": "Fri, 12 Dec 1997 03:15:29 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Batchelor",
"M. T.",
"",
"ANU"
],
[
"Seaton",
"K. A.",
"",
"La Trobe"
]
] |
The exact perturbation approach is used to derive the elementary correlation lengths $\xi_i$ and related mass gaps $m_i$ of the two-dimensional dilute A_L lattice model in regimes 1 and 2 for L odd from the Bethe Ansatz solution. In regime 2 the A_3 model is the E_8 lattice realisation of the two-dimensional Ising model in a magnetic field at T=T_c. The calculations for the A_3 model in regime 2 start from the eight thermodynamically significant string types found in previous numerical studies. These string types are seen to be consistent in the ordered high field limit. The eight masses obtained reduce with the approach to criticality to the E_8 masses predicted by Zamolodchikov, thus providing a further direct lattice determination of the E_8 mass spectrum.
| 14.396334
| 11.927562
| 18.117573
| 11.994437
| 13.266665
| 12.868097
| 13.661697
| 11.520932
| 11.175942
| 17.140482
| 12.638594
| 12.211816
| 15.077632
| 12.702218
| 13.078808
| 12.675857
| 12.98024
| 12.594809
| 12.872228
| 15.154177
| 13.225922
|
hep-th/0611141
|
Yuji Tachikawa
|
Yuji Tachikawa
|
Black Hole Entropy in the presence of Chern-Simons Terms
|
v2: 12 pages, added references
|
Class.Quant.Grav.24:737-744,2007
|
10.1088/0264-9381/24/3/014
| null |
hep-th gr-qc
| null |
We derive a formula for the black hole entropy in theories with gravitational
Chern-Simons terms, by generalizing Wald's argument which uses the Noether
charge. It correctly reproduces the entropy of three-dimensional black holes in
the presence of Chern-Simons term, which was previously obtained via indirect
methods.
|
[
{
"created": "Tue, 14 Nov 2006 18:21:59 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2006 20:20:35 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Tachikawa",
"Yuji",
""
]
] |
We derive a formula for the black hole entropy in theories with gravitational Chern-Simons terms, by generalizing Wald's argument which uses the Noether charge. It correctly reproduces the entropy of three-dimensional black holes in the presence of Chern-Simons term, which was previously obtained via indirect methods.
| 7.808162
| 7.274597
| 7.313373
| 6.692711
| 6.710232
| 7.081015
| 6.834874
| 6.88726
| 7.239923
| 8.066476
| 7.035917
| 7.341005
| 7.528664
| 7.015122
| 7.303201
| 7.336164
| 7.368484
| 6.940213
| 7.19005
| 7.479119
| 6.914344
|
1201.2192
|
Kayhan Ulker
|
Kayhan Ulker
|
On the All Order Solutions of Seiberg-Witten Map for Noncommutative
Gauge Theories
|
Contribution for the Proceedings of SEENET-MTP, Julius Wess 2011
Workshop (August 27 - August 28, 2011, Donji Milanovac, Serbia). References
added/corrected
| null |
10.1142/S201019451200685X
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the recursive solutions of the Seiberg--Witten map to all orders in
$\theta$ for gauge, matter and ghost fields. We also present the general
structure of the homogeneous solutions of the defining equations. Moreover, we
show that the contribution of the first order homogeneous solution to the
second order can be written recursively similar to inhomogeneous solutions.
|
[
{
"created": "Tue, 10 Jan 2012 21:35:58 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Jan 2012 23:50:03 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Ulker",
"Kayhan",
""
]
] |
We review the recursive solutions of the Seiberg--Witten map to all orders in $\theta$ for gauge, matter and ghost fields. We also present the general structure of the homogeneous solutions of the defining equations. Moreover, we show that the contribution of the first order homogeneous solution to the second order can be written recursively similar to inhomogeneous solutions.
| 14.224921
| 13.11936
| 12.43999
| 11.280978
| 11.269545
| 10.972425
| 10.956191
| 12.174326
| 9.914969
| 13.805476
| 10.578506
| 11.546359
| 11.9906
| 11.194848
| 11.647698
| 10.754356
| 10.467305
| 10.927979
| 11.545977
| 12.281884
| 11.117041
|
hep-th/0111048
|
Ralph Blumenhagen
|
Ralph Blumenhagen and Volker Braun
|
Superconformal Field Theories for Compact Manifolds with Spin(7)
Holonomy
|
16 pages, TeX, harvmac, refs. added
|
JHEP 0112:013,2001
|
10.1088/1126-6708/2001/12/013
|
HU-EP-01/48
|
hep-th
| null |
We present a construction of superconformal field theories for manifolds with
Spin(7) holonomy. Geometrically these models correspond to the realization of
Spin(7) manifolds as anti-holomorphic quotients of Calabi-Yau fourfolds.
Describing the fourfolds as Gepner models and requiring anomaly cancellation we
determine the resulting Betti numbers of the Spin(7) superconformal field
theory. As in the G_2 case, we find that the Gepner model and the geometric
result disagree.
|
[
{
"created": "Tue, 6 Nov 2001 15:41:23 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Nov 2001 08:59:27 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Braun",
"Volker",
""
]
] |
We present a construction of superconformal field theories for manifolds with Spin(7) holonomy. Geometrically these models correspond to the realization of Spin(7) manifolds as anti-holomorphic quotients of Calabi-Yau fourfolds. Describing the fourfolds as Gepner models and requiring anomaly cancellation we determine the resulting Betti numbers of the Spin(7) superconformal field theory. As in the G_2 case, we find that the Gepner model and the geometric result disagree.
| 7.211305
| 6.69084
| 8.255313
| 6.326118
| 7.109651
| 6.833697
| 6.359718
| 6.555366
| 5.987458
| 8.024014
| 6.264017
| 6.797654
| 7.488745
| 6.538449
| 6.908507
| 6.692801
| 6.66824
| 6.801291
| 6.421053
| 7.315281
| 6.613574
|
1912.12320
|
Mikhail Volkov
|
Alexei A. Starobinsky, Sergey S. Sushkov, and Mikhail S. Volkov
|
Anisotropy screening in Horndeski cosmologies
|
18 pages, 2 figures, matches the published version
|
Phys. Rev. D 101, 064039 (2020)
|
10.1103/PhysRevD.101.064039
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider anisotropic cosmologies in a particular shift-symmetric Horndeski
theory containing the $G^{\mu\nu}\partial_\mu\phi \partial_\nu\phi$ coupling,
where $G^{\mu\nu}$ is the Einstein tensor. This theory admits stable in the
future self-accelerating cosmologies whose tensor perturbations propagate with
the velocity very close to the speed of light such that the theory agrees with
the gravity wave observations. Surprisingly, we find that the anisotropies
within the Bianchi I homogeneous spacetime model are screened at early time by
the scalar charge, whereas at late times they are damped in the usual way.
Therefore, contrary to what one would normally expect, the early state of the
universe in the theory cannot be anisotropic and (locally) homogeneous in the
absence of spatial curvature. The early universe cannot be isotropic either,
because it should then be unstable with respect to inhomogeneous perturbations.
As a result, the early universe should be inhomogeneous. At the same time, we
find that in the spatially curved Bianchi IX case the anisotropies can be
strong at early times even in the presence of a scalar charge.
|
[
{
"created": "Fri, 27 Dec 2019 19:41:44 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jul 2020 17:00:03 GMT",
"version": "v2"
}
] |
2020-07-09
|
[
[
"Starobinsky",
"Alexei A.",
""
],
[
"Sushkov",
"Sergey S.",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] |
We consider anisotropic cosmologies in a particular shift-symmetric Horndeski theory containing the $G^{\mu\nu}\partial_\mu\phi \partial_\nu\phi$ coupling, where $G^{\mu\nu}$ is the Einstein tensor. This theory admits stable in the future self-accelerating cosmologies whose tensor perturbations propagate with the velocity very close to the speed of light such that the theory agrees with the gravity wave observations. Surprisingly, we find that the anisotropies within the Bianchi I homogeneous spacetime model are screened at early time by the scalar charge, whereas at late times they are damped in the usual way. Therefore, contrary to what one would normally expect, the early state of the universe in the theory cannot be anisotropic and (locally) homogeneous in the absence of spatial curvature. The early universe cannot be isotropic either, because it should then be unstable with respect to inhomogeneous perturbations. As a result, the early universe should be inhomogeneous. At the same time, we find that in the spatially curved Bianchi IX case the anisotropies can be strong at early times even in the presence of a scalar charge.
| 7.134215
| 8.07541
| 7.14543
| 6.510874
| 7.459532
| 7.784978
| 7.443235
| 7.025533
| 6.966343
| 7.611712
| 7.366854
| 7.079342
| 6.987741
| 6.671985
| 6.800137
| 6.906018
| 6.885221
| 6.991724
| 6.759344
| 6.949658
| 6.883137
|
2302.00007
|
Miguel Montero
|
Arun Debray, Markus Dierigl, Jonathan J. Heckman, Miguel Montero
|
The Chronicles of IIBordia: Dualities, Bordisms, and the Swampland
|
143 pages + appendices + references, 35 Figures, 16 Tables, 1 Map to
the Lands of IIBordia
| null | null |
LMU-ASC 06/23, IFT-UAM/CSIC-23-7
|
hep-th math.AT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we investigate the Swampland Cobordism Conjecture in the context
of type IIB string theory geometries with non-trivial duality bundle. Quite
remarkably, we find that many non-trivial bordism classes with duality bundles
in Mp$(2,\mathbb{Z})$, a double cover of SL$(2,\mathbb{Z})$ related to
fermions, correspond to asymptotic boundaries of well-known supersymmetric
F-theory backgrounds. These include $[p,q]$-7-branes, non-Higgsable clusters,
S-folds, as well as various lower-dimensional generalizations. These string
theoretic objects break the global symmetries associated to the non-trivial
bordism groups, providing a strong test of the Cobordism Conjecture. Further
including worldsheet orientation reversal promotes the duality group to the
Pin$^+$ cover of GL$(2,\mathbb{Z})$. The corresponding bordism groups require a
new non-supersymmetric "reflection 7-brane" and its compactifications to ensure
the absence of global symmetries, thus providing an interesting prediction of
the Cobordism Conjecture for non-supersymmetric type IIB backgrounds.
A major component of the present work is the explicit derivation of the
involved bordism groups as well as their generators, which correspond to
asymptotic boundaries of explicit string theory backgrounds. The main tool is
the Adams spectral sequence, to which we provide a detailed introduction. We
anticipate that the same techniques can be applied in a wide variety of
settings.
|
[
{
"created": "Tue, 31 Jan 2023 19:00:00 GMT",
"version": "v1"
}
] |
2023-02-02
|
[
[
"Debray",
"Arun",
""
],
[
"Dierigl",
"Markus",
""
],
[
"Heckman",
"Jonathan J.",
""
],
[
"Montero",
"Miguel",
""
]
] |
In this work we investigate the Swampland Cobordism Conjecture in the context of type IIB string theory geometries with non-trivial duality bundle. Quite remarkably, we find that many non-trivial bordism classes with duality bundles in Mp$(2,\mathbb{Z})$, a double cover of SL$(2,\mathbb{Z})$ related to fermions, correspond to asymptotic boundaries of well-known supersymmetric F-theory backgrounds. These include $[p,q]$-7-branes, non-Higgsable clusters, S-folds, as well as various lower-dimensional generalizations. These string theoretic objects break the global symmetries associated to the non-trivial bordism groups, providing a strong test of the Cobordism Conjecture. Further including worldsheet orientation reversal promotes the duality group to the Pin$^+$ cover of GL$(2,\mathbb{Z})$. The corresponding bordism groups require a new non-supersymmetric "reflection 7-brane" and its compactifications to ensure the absence of global symmetries, thus providing an interesting prediction of the Cobordism Conjecture for non-supersymmetric type IIB backgrounds. A major component of the present work is the explicit derivation of the involved bordism groups as well as their generators, which correspond to asymptotic boundaries of explicit string theory backgrounds. The main tool is the Adams spectral sequence, to which we provide a detailed introduction. We anticipate that the same techniques can be applied in a wide variety of settings.
| 8.221402
| 7.936362
| 8.961898
| 7.719106
| 8.531496
| 7.916661
| 7.627046
| 8.000884
| 7.625981
| 9.943408
| 7.935083
| 7.713639
| 8.109486
| 7.8039
| 7.7665
| 7.608829
| 7.824393
| 7.843903
| 7.600219
| 8.318735
| 7.800076
|
1805.12252
|
Marco Astorino
|
Marco Astorino, Fabrizio Canfora, Marcela Lagos, Aldo Vera
|
Black hole and BTZ-black string in the Einstein-SU(2) Skyrme model
|
12 pages, 5 figures. Paper accepted for publication on PRD.
v2:references added
| null |
10.1103/PhysRevD.97.124032
|
UAI-PHY-18/01
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present novel analytic hairy black holes with a flat base manifold in the
(3+1)-dimensional Einstein SU(2)-Skyrme system with negative cosmological
constant. We also construct (3+1)-dimensional black strings in the Einstein
$SU(2)$-non linear sigma model theory with negative cosmological constant. The
geometry of these black strings is a three-dimensional charged BTZ black hole
times a line, without any warp factor. The thermodynamics of these
configurations (and its dependence on the discrete hairy parameter) is analyzed
in details. A very rich phase diagram emerges.
|
[
{
"created": "Wed, 30 May 2018 22:42:03 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2018 23:17:31 GMT",
"version": "v2"
}
] |
2018-08-01
|
[
[
"Astorino",
"Marco",
""
],
[
"Canfora",
"Fabrizio",
""
],
[
"Lagos",
"Marcela",
""
],
[
"Vera",
"Aldo",
""
]
] |
We present novel analytic hairy black holes with a flat base manifold in the (3+1)-dimensional Einstein SU(2)-Skyrme system with negative cosmological constant. We also construct (3+1)-dimensional black strings in the Einstein $SU(2)$-non linear sigma model theory with negative cosmological constant. The geometry of these black strings is a three-dimensional charged BTZ black hole times a line, without any warp factor. The thermodynamics of these configurations (and its dependence on the discrete hairy parameter) is analyzed in details. A very rich phase diagram emerges.
| 9.530288
| 8.638515
| 10.081392
| 8.288344
| 9.322177
| 8.20977
| 8.613344
| 8.559116
| 8.948941
| 9.990751
| 8.801754
| 8.71522
| 9.06833
| 8.753391
| 8.947742
| 9.219784
| 8.98805
| 8.841957
| 8.80704
| 8.704383
| 9.017391
|
1901.08581
|
Alessandro Ugolotti
|
Holger Gies, Ren\'e Sondenheimer, Alessandro Ugolotti, Luca Zambelli
|
Scheme dependence of asymptotically free solutions
|
30 pages, 4 figures
| null |
10.1140/epjc/s10052-019-6956-4
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent studies have provided evidence for the existence of new asymptotically
free trajectories in non-Abelian particle models without asymptotic symmetry in
the high-energy limit. We extend these results to a general ${\rm SU}(N_{\rm
L})\times {\rm SU}(N_{\rm c})$ Higgs-Yukawa model that includes the non-Abelian
sector of the standard model, finding further confirmation for such scenarios
for a wide class of regularizations that account for threshold behavior
persisting to highest energies. We construct these asymptotically free
trajectories within conventional $\overline{\text{MS}}$ schemes and systematic
weak coupling expansions. The existence of these solutions is argued to be a
scheme-independent phenomenon, as demonstrated for mass-dependent schemes based
on general momentum-space infrared regularizations. A change of scheme induces
a map of the theory's coupling space onto itself, which in the present case
also translates into a reparametrization of the space of asymptotically free
solutions.
|
[
{
"created": "Thu, 24 Jan 2019 18:54:12 GMT",
"version": "v1"
}
] |
2019-06-26
|
[
[
"Gies",
"Holger",
""
],
[
"Sondenheimer",
"René",
""
],
[
"Ugolotti",
"Alessandro",
""
],
[
"Zambelli",
"Luca",
""
]
] |
Recent studies have provided evidence for the existence of new asymptotically free trajectories in non-Abelian particle models without asymptotic symmetry in the high-energy limit. We extend these results to a general ${\rm SU}(N_{\rm L})\times {\rm SU}(N_{\rm c})$ Higgs-Yukawa model that includes the non-Abelian sector of the standard model, finding further confirmation for such scenarios for a wide class of regularizations that account for threshold behavior persisting to highest energies. We construct these asymptotically free trajectories within conventional $\overline{\text{MS}}$ schemes and systematic weak coupling expansions. The existence of these solutions is argued to be a scheme-independent phenomenon, as demonstrated for mass-dependent schemes based on general momentum-space infrared regularizations. A change of scheme induces a map of the theory's coupling space onto itself, which in the present case also translates into a reparametrization of the space of asymptotically free solutions.
| 11.976057
| 12.149803
| 12.013177
| 10.991797
| 11.948615
| 11.854588
| 12.062409
| 11.992796
| 10.944297
| 11.89308
| 11.011688
| 11.178221
| 11.055077
| 11.140136
| 11.202017
| 11.109241
| 11.332952
| 11.180471
| 11.111308
| 11.526743
| 11.488653
|
1805.06117
|
Yi Yang
|
En-Jui Chang, Chia-Jui Chou and Yi Yang
|
Holographic Entanglement Entropy in Boundary Quantum Field Theory
|
22 pages, 10 figures
|
Phys. Rev. D 98, 106016 (2018)
|
10.1103/PhysRevD.98.106016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the holographic entanglement entropy in a (d+1)-dimensional boundary
quantum field theory at both the zero and finite temperature. The phase
diagrams for the holographic entanglement entropy at various temperatures are
obtained by solving the entangled surfaces in the different homology. We also
verify the Araki-Lieb inequality and illustrate the entanglement plateau.
|
[
{
"created": "Wed, 16 May 2018 03:39:26 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Jun 2018 12:21:44 GMT",
"version": "v2"
}
] |
2018-11-28
|
[
[
"Chang",
"En-Jui",
""
],
[
"Chou",
"Chia-Jui",
""
],
[
"Yang",
"Yi",
""
]
] |
We study the holographic entanglement entropy in a (d+1)-dimensional boundary quantum field theory at both the zero and finite temperature. The phase diagrams for the holographic entanglement entropy at various temperatures are obtained by solving the entangled surfaces in the different homology. We also verify the Araki-Lieb inequality and illustrate the entanglement plateau.
| 11.476177
| 10.725869
| 11.723391
| 10.491698
| 9.995755
| 9.517272
| 9.949162
| 10.085109
| 10.351437
| 12.377944
| 9.724604
| 10.394064
| 10.405562
| 10.236321
| 10.435443
| 10.286178
| 10.093588
| 10.887689
| 10.774044
| 11.3209
| 10.39042
|
1811.06478
|
Zhengwen Liu
|
Claude Duhr and Zhengwen Liu
|
Multi-Regge kinematics and the scattering equations
|
40 pages, 1 figure
|
JHEP 1901 (2019) 146
|
10.1007/JHEP01(2019)146
|
CERN-TH-2018-234, CP3-18-61
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the solutions to the scattering equations in various
quasi-multi-Regge regimes where the produced particles are ordered in rapidity.
We observe that in all cases the solutions to the scattering equations admit
the same hierarchy as the rapidity ordering, and we conjecture that this
behaviour holds independently of the number of external particles. In
multi-Regge limit, where the produced particles are strongly ordered in
rapidity, we determine exactly all solutions to the scattering equations that
contribute to the Cachazo-He-Yuan (CHY) formula for gluon scattering in this
limit. When the CHY formula is localised on these solutions, it reproduces the
expected factorisation of tree-level amplitudes in terms of impact factors and
Lipatov vertices. We also investigate amplitudes in various quasi-MRK. While in
these cases we cannot determine the solutions to the scattering equations
exactly, we show that again our conjecture combined with the CHY formula
implies the factorisation of the amplitude into universal buildings blocks for
which we obtain a CHY-type representation.
|
[
{
"created": "Thu, 15 Nov 2018 17:09:57 GMT",
"version": "v1"
}
] |
2019-02-15
|
[
[
"Duhr",
"Claude",
""
],
[
"Liu",
"Zhengwen",
""
]
] |
We study the solutions to the scattering equations in various quasi-multi-Regge regimes where the produced particles are ordered in rapidity. We observe that in all cases the solutions to the scattering equations admit the same hierarchy as the rapidity ordering, and we conjecture that this behaviour holds independently of the number of external particles. In multi-Regge limit, where the produced particles are strongly ordered in rapidity, we determine exactly all solutions to the scattering equations that contribute to the Cachazo-He-Yuan (CHY) formula for gluon scattering in this limit. When the CHY formula is localised on these solutions, it reproduces the expected factorisation of tree-level amplitudes in terms of impact factors and Lipatov vertices. We also investigate amplitudes in various quasi-MRK. While in these cases we cannot determine the solutions to the scattering equations exactly, we show that again our conjecture combined with the CHY formula implies the factorisation of the amplitude into universal buildings blocks for which we obtain a CHY-type representation.
| 7.267404
| 8.265302
| 8.702489
| 7.038712
| 6.981801
| 8.069499
| 8.349843
| 7.66419
| 7.247746
| 9.180595
| 7.251945
| 7.40768
| 7.313205
| 6.918664
| 6.979281
| 7.387263
| 7.27878
| 7.195996
| 7.014693
| 7.675591
| 7.101714
|
1205.3061
|
Marcelo Gleiser
|
Marcelo Gleiser and Nikitas Stamatopoulos
|
Information Content of Spontaneous Symmetry Breaking
|
LaTeX, 9 pages, 5 figures, 1 table
|
Phys. Rev. D 86, 045004 (2012)
|
10.1103/PhysRevD.86.045004
| null |
hep-th astro-ph.CO cond-mat.stat-mech nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a measure of order in the context of nonequilibrium field theory
and argue that this measure, which we call relative configurational entropy
(RCE), may be used to quantify the emergence of coherent low-entropy
configurations, such as time-dependent or time-independent topological and
nontopological spatially-extended structures. As an illustration, we
investigate the nonequilibrium dynamics of spontaneous symmetry-breaking in
three spatial dimensions. In particular, we focus on a model where a real
scalar field, prepared initially in a symmetric thermal state, is quenched to a
broken-symmetric state. For a certain range of initial temperatures,
spatially-localized, long-lived structures known as oscillons emerge in
synchrony and remain until the field reaches equilibrium again. We show that
the RCE correlates with the number-density of oscillons, thus offering a
quantitative measure of the emergence of nonperturbative spatiotemporal
patterns that can be generalized to a variety of physical systems.
|
[
{
"created": "Mon, 14 May 2012 15:29:18 GMT",
"version": "v1"
}
] |
2012-08-13
|
[
[
"Gleiser",
"Marcelo",
""
],
[
"Stamatopoulos",
"Nikitas",
""
]
] |
We propose a measure of order in the context of nonequilibrium field theory and argue that this measure, which we call relative configurational entropy (RCE), may be used to quantify the emergence of coherent low-entropy configurations, such as time-dependent or time-independent topological and nontopological spatially-extended structures. As an illustration, we investigate the nonequilibrium dynamics of spontaneous symmetry-breaking in three spatial dimensions. In particular, we focus on a model where a real scalar field, prepared initially in a symmetric thermal state, is quenched to a broken-symmetric state. For a certain range of initial temperatures, spatially-localized, long-lived structures known as oscillons emerge in synchrony and remain until the field reaches equilibrium again. We show that the RCE correlates with the number-density of oscillons, thus offering a quantitative measure of the emergence of nonperturbative spatiotemporal patterns that can be generalized to a variety of physical systems.
| 7.877108
| 7.441197
| 8.039049
| 7.014026
| 8.032378
| 8.752271
| 7.831798
| 7.972874
| 7.543622
| 7.987231
| 7.228133
| 7.502397
| 7.643512
| 7.393363
| 7.523738
| 7.749812
| 7.367268
| 7.459761
| 7.35037
| 7.519393
| 7.423686
|
1811.10398
|
Claude Duhr
|
Vittorio Del Duca, Claude Duhr, Falko Dulat, Brenda Penante
|
All two-loop MHV remainder functions in multi-Regge kinematics
|
36 pages, 4 figures
| null |
10.1007/JHEP01(2019)162
|
CERN-TH-2018-256, CP3-18-66, SLAC-PUB-17357
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a method to extract the symbol of the coefficient of $(2\pi
i)^2$ of MHV remainder functions in planar N=4 Super Yang-Mills in multi-Regge
kinematics region directly from the symbol in full kinematics. At two loops
this symbol can be uplifted to the full function in a unique way, without any
beyond-the-symbol ambiguities. We can therefore determine all two-loop MHV
amplitudes at function level in all kinematic regions with different energy
signs in multi-Regge kinematics. We analyse our results and we observe that
they are consistent with the hypothesis of a contribution from the exchange of
a three-Reggeon composite state starting from two loops and eight points in
certain kinematic regions.
|
[
{
"created": "Mon, 26 Nov 2018 14:34:36 GMT",
"version": "v1"
}
] |
2019-02-20
|
[
[
"Del Duca",
"Vittorio",
""
],
[
"Duhr",
"Claude",
""
],
[
"Dulat",
"Falko",
""
],
[
"Penante",
"Brenda",
""
]
] |
We introduce a method to extract the symbol of the coefficient of $(2\pi i)^2$ of MHV remainder functions in planar N=4 Super Yang-Mills in multi-Regge kinematics region directly from the symbol in full kinematics. At two loops this symbol can be uplifted to the full function in a unique way, without any beyond-the-symbol ambiguities. We can therefore determine all two-loop MHV amplitudes at function level in all kinematic regions with different energy signs in multi-Regge kinematics. We analyse our results and we observe that they are consistent with the hypothesis of a contribution from the exchange of a three-Reggeon composite state starting from two loops and eight points in certain kinematic regions.
| 14.011338
| 13.292209
| 16.217951
| 12.054874
| 14.869515
| 13.167126
| 13.078053
| 12.559448
| 11.560459
| 15.791395
| 12.051053
| 13.231415
| 12.792764
| 12.14332
| 12.449511
| 12.86264
| 12.564687
| 12.244612
| 12.503284
| 13.18298
| 12.411081
|
hep-th/9701123
|
Andrei Mironov
|
A. Marshakov, A. Mironov and A. Morozov
|
More Evidence for the WDVV Equations in N=2 SUSY Yang-Mills Theories
|
LaTeX, 40 pages, no figures
|
Int.J.Mod.Phys.A15:1157-1206,2000
|
10.1142/S0217751X00000537
|
FIAN/TD-15/96, ITEP/TH-46/96
|
hep-th
| null |
We consider 4d and 5d N=2 supersymmetric theories and demonstrate that in
general their Seiberg-Witten prepotentials satisfy the
Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. General proof for the
Yang-Mills models (with matter in the first fundamental representation) makes
use of the hyperelliptic curves and underlying integrable systems. A wide class
of examples is discussed, it contains few understandable exceptions. In
particular, in perturbative regime of 5d theories in addition to naive field
theory expectations some extra terms appear, like it happens in heterotic
string models. We consider also the example of the Yang-Mills theory with
matter hypermultiplet in the adjoint representation (related to the elliptic
Calogero-Moser system) when the standard WDVV equations do not hold.
|
[
{
"created": "Thu, 23 Jan 1997 20:54:02 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Marshakov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
We consider 4d and 5d N=2 supersymmetric theories and demonstrate that in general their Seiberg-Witten prepotentials satisfy the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. General proof for the Yang-Mills models (with matter in the first fundamental representation) makes use of the hyperelliptic curves and underlying integrable systems. A wide class of examples is discussed, it contains few understandable exceptions. In particular, in perturbative regime of 5d theories in addition to naive field theory expectations some extra terms appear, like it happens in heterotic string models. We consider also the example of the Yang-Mills theory with matter hypermultiplet in the adjoint representation (related to the elliptic Calogero-Moser system) when the standard WDVV equations do not hold.
| 9.28516
| 8.645863
| 10.415923
| 8.096505
| 9.203556
| 8.327291
| 8.914083
| 8.245855
| 8.176724
| 10.155228
| 8.283631
| 8.62645
| 9.11159
| 8.66097
| 8.828114
| 8.648089
| 8.893822
| 8.65173
| 8.36225
| 9.063586
| 8.6163
|
1604.06186
|
Boris Merzlikin
|
I.L. Buchbinder, B.S. Merzlikin, N.G. Pletnev
|
Induced low-energy effective action in the 6D, N=(1,0) hypermultiplet
theory on the vector multiplet background
|
15 pages; v2: minor corrections
| null |
10.1016/j.physletb.2016.06.030
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the six dimensional N=(1,0) hypermultiplet model coupled to an
external field of the Abelian vector multiplet in harmonic superspace approach.
Using the superfield proper-time technique we find the divergent part of the
effective action and derive the complete finite induced low-energy superfield
effective action. This effective action depends on external field and contains
in bosonic sector all the powers of the constant Maxwell field strength. The
obtained result can be treated as the 6D, N=(1,0) supersymmetric
Heisenberg-Euler type effective action.
|
[
{
"created": "Thu, 21 Apr 2016 05:46:24 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2016 11:41:55 GMT",
"version": "v2"
}
] |
2016-07-20
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Merzlikin",
"B. S.",
""
],
[
"Pletnev",
"N. G.",
""
]
] |
We consider the six dimensional N=(1,0) hypermultiplet model coupled to an external field of the Abelian vector multiplet in harmonic superspace approach. Using the superfield proper-time technique we find the divergent part of the effective action and derive the complete finite induced low-energy superfield effective action. This effective action depends on external field and contains in bosonic sector all the powers of the constant Maxwell field strength. The obtained result can be treated as the 6D, N=(1,0) supersymmetric Heisenberg-Euler type effective action.
| 8.906473
| 6.792055
| 10.542914
| 7.642923
| 7.556211
| 7.319579
| 7.350732
| 7.220972
| 7.472948
| 11.394424
| 7.32549
| 7.728518
| 9.089773
| 8.0271
| 8.297521
| 7.593664
| 7.928124
| 7.98393
| 7.950305
| 9.150135
| 7.835927
|
2105.04594
|
Carlo Heissenberg
|
Carlo Heissenberg
|
Infrared Divergences and the Eikonal Exponentiation
|
22 pages, 3 figures. v2: References updated, published in Phys. Rev.
D
|
Phys. Rev. D 104, 046016 (2021)
|
10.1103/PhysRevD.104.046016
|
NORDITA 2021-038, UUITP-23/21
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The aim of this note is to explore the interplay between the eikonal
resummation in impact-parameter space and the exponentiation of infrared
divergences in momentum space for gravity amplitudes describing collisions of
massive objects. The eikonal governs the classical dynamics relevant to the
two-body problem, and its infrared properties are directly linked to the
zero-frequency limit of the gravitational wave emission spectrum and to
radiation-reaction effects. Combining eikonal and infrared exponentiations it
is possible to derive these properties at a given loop order starting from
lower-loop data. This is illustrated explicitly in $\mathcal{N}=8$ supergravity
and in general relativity by deriving the divergent part of the two-loop
eikonal from tree-level and one-loop elastic amplitudes.
|
[
{
"created": "Mon, 10 May 2021 18:17:13 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Aug 2021 08:57:10 GMT",
"version": "v2"
}
] |
2021-08-25
|
[
[
"Heissenberg",
"Carlo",
""
]
] |
The aim of this note is to explore the interplay between the eikonal resummation in impact-parameter space and the exponentiation of infrared divergences in momentum space for gravity amplitudes describing collisions of massive objects. The eikonal governs the classical dynamics relevant to the two-body problem, and its infrared properties are directly linked to the zero-frequency limit of the gravitational wave emission spectrum and to radiation-reaction effects. Combining eikonal and infrared exponentiations it is possible to derive these properties at a given loop order starting from lower-loop data. This is illustrated explicitly in $\mathcal{N}=8$ supergravity and in general relativity by deriving the divergent part of the two-loop eikonal from tree-level and one-loop elastic amplitudes.
| 8.474793
| 7.36643
| 8.264189
| 7.383586
| 7.075797
| 7.44715
| 7.485713
| 7.286388
| 7.563993
| 8.545037
| 7.424918
| 7.732402
| 7.877365
| 7.505161
| 7.412291
| 7.723867
| 7.781071
| 7.967244
| 7.726915
| 7.923557
| 7.863899
|
0804.0697
|
Nicolas Moeller
|
Nicolas Moeller
|
A tachyon lump in closed string field theory
|
13 pages, 4 figures; typos corrected; clarifications added
|
JHEP 0809:056,2008
|
10.1088/1126-6708/2008/09/056
|
LMU-ASC 17/08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a codimension one lump solution of closed bosonic string field
theory. We consider vertices up to quartic order and include in the string
field the tachyon, the ghost dilaton, and a metric fluctuation. While the
tachyon profile clearly is that of a lump, we observe that the ghost dilaton is
roughly constant in the direction transverse to the lump, equal to the value it
takes in the nonperturbative tachyon vacuum. We explain, with a simple model,
why this should be expected.
|
[
{
"created": "Fri, 4 Apr 2008 11:13:09 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Apr 2008 08:06:59 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Jul 2008 10:55:37 GMT",
"version": "v3"
}
] |
2009-12-04
|
[
[
"Moeller",
"Nicolas",
""
]
] |
We find a codimension one lump solution of closed bosonic string field theory. We consider vertices up to quartic order and include in the string field the tachyon, the ghost dilaton, and a metric fluctuation. While the tachyon profile clearly is that of a lump, we observe that the ghost dilaton is roughly constant in the direction transverse to the lump, equal to the value it takes in the nonperturbative tachyon vacuum. We explain, with a simple model, why this should be expected.
| 9.637868
| 8.046307
| 9.875429
| 8.241567
| 7.827116
| 8.492068
| 8.77218
| 7.544328
| 8.495973
| 10.091714
| 8.217591
| 8.347388
| 8.952976
| 8.595274
| 8.467829
| 8.505601
| 8.659245
| 8.487355
| 8.367757
| 9.525906
| 8.363409
|
hep-th/0003255
|
Horacio E. Camblong
|
Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti and Carlos A.
Garcia Canal
|
Dimensional Transmutation and Dimensional Regularization in Quantum
Mechanics. I. General Theory
|
28 pages. To appear in Annals of Physics
|
Ann.Phys.287:14-56,2001
|
10.1006/aphy.2000.6092
| null |
hep-th quant-ph
| null |
This is the first in a series of papers addressing the phenomenon of
dimensional transmutation in nonrelativistic quantum mechanics within the
framework of dimensional regularization. Scale-invariant potentials are
identified and their general properties are derived. A strategy for dimensional
renormalization of these systems in the strong-coupling regime is presented,
and the emergence of an energy scale is shown, both for the bound-state and
scattering sectors. Finally, dimensional transmutation is explicitly
illustrated for the two-dimensional delta-function potential.
|
[
{
"created": "Tue, 28 Mar 2000 07:34:12 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jan 2001 05:11:01 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Camblong",
"Horacio E.",
""
],
[
"Epele",
"Luis N.",
""
],
[
"Fanchiotti",
"Huner",
""
],
[
"Canal",
"Carlos A. Garcia",
""
]
] |
This is the first in a series of papers addressing the phenomenon of dimensional transmutation in nonrelativistic quantum mechanics within the framework of dimensional regularization. Scale-invariant potentials are identified and their general properties are derived. A strategy for dimensional renormalization of these systems in the strong-coupling regime is presented, and the emergence of an energy scale is shown, both for the bound-state and scattering sectors. Finally, dimensional transmutation is explicitly illustrated for the two-dimensional delta-function potential.
| 8.629827
| 7.961621
| 9.226092
| 7.659992
| 7.640199
| 7.973958
| 8.155711
| 7.545113
| 8.538549
| 8.930317
| 7.656333
| 8.158459
| 7.853242
| 7.874342
| 7.621783
| 7.808475
| 8.171594
| 7.885761
| 8.163296
| 8.355266
| 7.929291
|
1803.08627
|
Shao-Feng Wu
|
Lin-Peng Du, Shao-Feng Wu, Hua-Bi Zeng
|
Holographic complexity of the disk subregion in (2+1)-dimensional gapped
systems
|
30 pages, 7 figures, revised version accepted for publication in PRD
|
Phys. Rev. D 98, 066005 (2018)
|
10.1103/PhysRevD.98.066005
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the volume of the space enclosed by the Ryu-Takayanagi (RT) surface, we
study the complexity of the disk-shape subregion (with radius R) in various
(2+1)-dimensional gapped systems with gravity dual. These systems include a
class of toy models with singular IR and the bottom-up models for quantum
chromodynamics and fractional quantum Hall effects. Two main results are: i) in
the large-R expansion of the complexity, the R-linear term is always absent,
similar to the absence of topological entanglement entropy; ii) when the
entanglement entropy exhibits the classic `swallowtail' phase transition, the
complexity is sensitive but reacts differently.
|
[
{
"created": "Fri, 23 Mar 2018 01:14:56 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Sep 2018 01:13:33 GMT",
"version": "v2"
}
] |
2018-09-18
|
[
[
"Du",
"Lin-Peng",
""
],
[
"Wu",
"Shao-Feng",
""
],
[
"Zeng",
"Hua-Bi",
""
]
] |
Using the volume of the space enclosed by the Ryu-Takayanagi (RT) surface, we study the complexity of the disk-shape subregion (with radius R) in various (2+1)-dimensional gapped systems with gravity dual. These systems include a class of toy models with singular IR and the bottom-up models for quantum chromodynamics and fractional quantum Hall effects. Two main results are: i) in the large-R expansion of the complexity, the R-linear term is always absent, similar to the absence of topological entanglement entropy; ii) when the entanglement entropy exhibits the classic `swallowtail' phase transition, the complexity is sensitive but reacts differently.
| 12.979671
| 12.033889
| 12.639977
| 11.845783
| 12.039921
| 12.070497
| 13.571476
| 12.450179
| 11.643301
| 14.889424
| 11.490664
| 12.052985
| 12.009907
| 11.415865
| 11.900716
| 11.927192
| 11.678964
| 11.696661
| 11.471333
| 11.750031
| 11.434407
|
hep-th/0104239
|
Eva Silverstein
|
S. Dimopoulos, S. Kachru, N. Kaloper, A. Lawrence and E. Silverstein
|
Small Numbers from Tunneling Between Brane Throats
|
11 pages, 2 figures. Small corrections to match the published version
|
Phys.Rev.D64:121702,2001
|
10.1103/PhysRevD.64.121702
|
SLAC-PUB-8819, SU-ITP-00/36, DUKE-CGTP-01-06, NSF-ITP-01-60
|
hep-th astro-ph gr-qc hep-ph
| null |
Generic classes of string compactifications include ``brane throats''
emanating from the compact dimensions and separated by effective potential
barriers raised by the background gravitational fields. The interaction of
observers inside different throats occurs via tunnelling and is consequently
weak. This provides a new mechanism for generating small numbers in Nature. We
apply it to the hierarchy problem, where supersymmetry breaking near the
unification scale causes TeV sparticle masses inside the standard model throat.
We also design naturally long-lived cold dark matter which decays within a
Hubble time to the approximate conformal matter of a long throat. This may
soften structure formation at galactic scales and raises the possibility that
much of the dark matter of the universe is conformal matter. Finally, the
tunnelling rate shows that the coupling between throats, mediated by bulk
modes, is stronger than a naive application of holography suggests.
|
[
{
"created": "Fri, 27 Apr 2001 22:32:22 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jun 2001 22:48:17 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Jan 2002 02:58:33 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Dimopoulos",
"S.",
""
],
[
"Kachru",
"S.",
""
],
[
"Kaloper",
"N.",
""
],
[
"Lawrence",
"A.",
""
],
[
"Silverstein",
"E.",
""
]
] |
Generic classes of string compactifications include ``brane throats'' emanating from the compact dimensions and separated by effective potential barriers raised by the background gravitational fields. The interaction of observers inside different throats occurs via tunnelling and is consequently weak. This provides a new mechanism for generating small numbers in Nature. We apply it to the hierarchy problem, where supersymmetry breaking near the unification scale causes TeV sparticle masses inside the standard model throat. We also design naturally long-lived cold dark matter which decays within a Hubble time to the approximate conformal matter of a long throat. This may soften structure formation at galactic scales and raises the possibility that much of the dark matter of the universe is conformal matter. Finally, the tunnelling rate shows that the coupling between throats, mediated by bulk modes, is stronger than a naive application of holography suggests.
| 16.615667
| 15.251266
| 14.939377
| 14.235836
| 14.744976
| 13.271242
| 15.054269
| 15.973073
| 14.707781
| 16.21114
| 14.68606
| 14.840158
| 15.159914
| 15.06188
| 14.937198
| 15.480695
| 14.527681
| 13.860558
| 14.9898
| 15.66287
| 15.221569
|
1601.08211
|
Riccardo Martini
|
Joseph Ben Geloun, Riccardo Martini, Daniele Oriti
|
Functional Renormalisation Group analysis of Tensorial Group Field
Theories on $\mathbb{R}^d$
|
43 pages, 9 figures
|
Phys. Rev. D 94, 024017 (2016)
|
10.1103/PhysRevD.94.024017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Rank-d Tensorial Group Field Theories are quantum field theories defined on a
group manifold $G^{\times d}$, which represent a non-local generalization of
standard QFT, and a candidate formalism for quantum gravity, since, when
endowed with appropriate data, they can be interpreted as defining a field
theoretic description of the fundamental building blocks of quantum spacetime.
Their renormalisation analysis is crucial both for establishing their
consistency as quantum field theories, and for studying the emergence of
continuum spacetime and geometry from them. In this paper, we study the
renormalisation group flow of two simple classes of TGFTs, defined for the
group $G=\mathbb{R}$ for arbitrary rank, both without and with gauge invariance
conditions, by means of functional renormalisation group techniques. The issue
of IR divergences is tackled by the definition of a proper thermodynamic limit
for TGFTs. We map the phase diagram of such models, in a simple truncation, and
identify both UV and IR fixed points of the RG flow. Encouragingly, for all the
models we study, we find evidence for the existence of a phase transition of
condensation type.
|
[
{
"created": "Fri, 29 Jan 2016 18:03:19 GMT",
"version": "v1"
}
] |
2016-07-13
|
[
[
"Geloun",
"Joseph Ben",
""
],
[
"Martini",
"Riccardo",
""
],
[
"Oriti",
"Daniele",
""
]
] |
Rank-d Tensorial Group Field Theories are quantum field theories defined on a group manifold $G^{\times d}$, which represent a non-local generalization of standard QFT, and a candidate formalism for quantum gravity, since, when endowed with appropriate data, they can be interpreted as defining a field theoretic description of the fundamental building blocks of quantum spacetime. Their renormalisation analysis is crucial both for establishing their consistency as quantum field theories, and for studying the emergence of continuum spacetime and geometry from them. In this paper, we study the renormalisation group flow of two simple classes of TGFTs, defined for the group $G=\mathbb{R}$ for arbitrary rank, both without and with gauge invariance conditions, by means of functional renormalisation group techniques. The issue of IR divergences is tackled by the definition of a proper thermodynamic limit for TGFTs. We map the phase diagram of such models, in a simple truncation, and identify both UV and IR fixed points of the RG flow. Encouragingly, for all the models we study, we find evidence for the existence of a phase transition of condensation type.
| 7.711796
| 7.625006
| 8.047376
| 7.404302
| 7.905491
| 8.100203
| 7.743083
| 7.197608
| 7.360483
| 8.628734
| 7.226437
| 7.301458
| 7.47475
| 7.135336
| 7.26176
| 7.428767
| 7.219162
| 7.415483
| 7.338669
| 7.201831
| 7.131829
|
1808.08380
|
Dibakar Roychowdhury
|
Arindam Lala, Dibakar Roychowdhury
|
SYK/AdS duality with Yang-Baxter deformations
|
Revised version, To Appear in JHEP
|
JHEP 1812 (2018) 073
|
10.1007/JHEP12(2018)073
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, based on the notion of SYK/AdS duality we explore the effects
of Yang-Baxter (YB) deformations on the SYK spectrum at strong coupling. In the
first part of our analysis, we explore the consequences of YB deformations
through the Kaluza-Klein (KK) reduction on $ (AdS_2)_{\eta}\times (S^1)/Z_2 $.
It turns out that the YB effects (on the SYK spectrum) starts showing off at
\textit{quadratic} order in $ 1/J $ expansion. For the rest of the analysis, we
provide an interpretation for the YB deformations in terms of
bi-local/collective field excitations of the SYK model. Using large $ N $
techniques, we evaluate the effective action upto quadratic order in the
fluctuations and estimate $ 1/J^2 $ corrections to the correlation function at
strong coupling.
|
[
{
"created": "Sat, 25 Aug 2018 08:38:53 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Aug 2018 21:06:47 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Dec 2018 13:13:03 GMT",
"version": "v3"
}
] |
2018-12-13
|
[
[
"Lala",
"Arindam",
""
],
[
"Roychowdhury",
"Dibakar",
""
]
] |
In this paper, based on the notion of SYK/AdS duality we explore the effects of Yang-Baxter (YB) deformations on the SYK spectrum at strong coupling. In the first part of our analysis, we explore the consequences of YB deformations through the Kaluza-Klein (KK) reduction on $ (AdS_2)_{\eta}\times (S^1)/Z_2 $. It turns out that the YB effects (on the SYK spectrum) starts showing off at \textit{quadratic} order in $ 1/J $ expansion. For the rest of the analysis, we provide an interpretation for the YB deformations in terms of bi-local/collective field excitations of the SYK model. Using large $ N $ techniques, we evaluate the effective action upto quadratic order in the fluctuations and estimate $ 1/J^2 $ corrections to the correlation function at strong coupling.
| 7.676879
| 6.528049
| 7.8784
| 6.834714
| 7.134336
| 7.224525
| 6.938669
| 6.892508
| 6.924291
| 8.026476
| 7.053445
| 7.170749
| 7.628586
| 7.31475
| 7.222293
| 7.303109
| 7.295691
| 7.162137
| 7.379652
| 7.668932
| 7.40697
|
2304.12011
|
Maria Conti
|
Alfio Maurizio Bonanno, Maria Conti and Sergio Luigi Cacciatori
|
On the ultraviolet behavior of conformally reduced quadratic gravity
|
14 pages, 4 figures
| null |
10.1103/PhysRevD.108.026008
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the conformally reduced $R+R^2$ theory of gravity and we show that
the theory is asymptotically safe with an ultraviolet critical manifold of
dimension three. In particular, we discuss the universality properties of the
fixed point and its stability under the use of different regulators with the
help of the proper-time flow equation. We find three relevant directions,
corresponding to the $\sqrt{g}$, $\sqrt{g} R$ and $\sqrt{g} R^2$ operators,
whose critical properties are very similar to the ones shared by the full
theory. Our result shows that the basic mechanism at the core of the Asymptotic
Safety program is still well described by the conformal sector also beyond the
Einstein-Hilbert truncation. Possible consequences for the asymptotic safety
program are discussed.
|
[
{
"created": "Mon, 24 Apr 2023 11:21:33 GMT",
"version": "v1"
}
] |
2023-07-26
|
[
[
"Bonanno",
"Alfio Maurizio",
""
],
[
"Conti",
"Maria",
""
],
[
"Cacciatori",
"Sergio Luigi",
""
]
] |
We study the conformally reduced $R+R^2$ theory of gravity and we show that the theory is asymptotically safe with an ultraviolet critical manifold of dimension three. In particular, we discuss the universality properties of the fixed point and its stability under the use of different regulators with the help of the proper-time flow equation. We find three relevant directions, corresponding to the $\sqrt{g}$, $\sqrt{g} R$ and $\sqrt{g} R^2$ operators, whose critical properties are very similar to the ones shared by the full theory. Our result shows that the basic mechanism at the core of the Asymptotic Safety program is still well described by the conformal sector also beyond the Einstein-Hilbert truncation. Possible consequences for the asymptotic safety program are discussed.
| 7.574096
| 7.177325
| 7.783546
| 7.29003
| 7.651636
| 7.435001
| 7.655334
| 7.355436
| 7.217369
| 7.964238
| 7.134577
| 7.210188
| 7.03043
| 7.184161
| 7.216943
| 7.103622
| 6.895437
| 7.334684
| 7.327106
| 6.871941
| 7.150879
|
1502.06980
|
Bartholomew Horn
|
Bart Horn, Lam Hui, Xiao Xiao
|
Lagrangian space consistency relation for large scale structure
|
19 pages, no figures
| null |
10.1088/1475-7516/2015/09/068
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Consistency relations, which relate the squeezed limit of an (N+1)-point
correlation function to an N-point function, are non-perturbative symmetry
statements that hold even if the associated high momentum modes are deep in the
nonlinear regime and astrophysically complex. Recently, Kehagias & Riotto and
Peloso & Pietroni discovered a consistency relation applicable to large scale
structure. We show that this can be recast into a simple physical statement in
Lagrangian space: that the squeezed correlation function (suitably normalized)
vanishes. This holds regardless of whether the correlation observables are at
the same time or not, and regardless of whether multiple-streaming is present.
The simplicity of this statement suggests that an analytic understanding of
large scale structure in the nonlinear regime may be particularly promising in
Lagrangian space.
|
[
{
"created": "Tue, 24 Feb 2015 21:29:33 GMT",
"version": "v1"
}
] |
2015-10-07
|
[
[
"Horn",
"Bart",
""
],
[
"Hui",
"Lam",
""
],
[
"Xiao",
"Xiao",
""
]
] |
Consistency relations, which relate the squeezed limit of an (N+1)-point correlation function to an N-point function, are non-perturbative symmetry statements that hold even if the associated high momentum modes are deep in the nonlinear regime and astrophysically complex. Recently, Kehagias & Riotto and Peloso & Pietroni discovered a consistency relation applicable to large scale structure. We show that this can be recast into a simple physical statement in Lagrangian space: that the squeezed correlation function (suitably normalized) vanishes. This holds regardless of whether the correlation observables are at the same time or not, and regardless of whether multiple-streaming is present. The simplicity of this statement suggests that an analytic understanding of large scale structure in the nonlinear regime may be particularly promising in Lagrangian space.
| 6.577555
| 9.733328
| 8.97125
| 8.246331
| 9.079494
| 10.017294
| 9.100746
| 9.575874
| 8.880346
| 10.343607
| 8.774865
| 7.827825
| 7.317009
| 7.675122
| 7.570863
| 7.930253
| 7.995163
| 7.65695
| 7.019035
| 7.602746
| 7.829084
|
hep-th/9905087
|
Thomas Wynter
|
Thomas Wynter
|
High energy scattering amplitudes in matrix string theory
|
harvmac.tex, 55 pages, typos corrected, includes 2 figures. First
part of section 3 expanded to give a clearer discussion of the justification
for using a one loop calculation. Two paragraphs added to the end of section
8.1 discussing the non-Lorentz invariant factor $c$ equn 8.9. It is pointed
out that the same factor occurs in string theory where it combines with the
determinant to give a Lorentz Invaraint result. Other minor changes. Final
version to appear in Nucl. Phys B
|
Nucl.Phys. B580 (2000) 147-192
|
10.1016/S0550-3213(00)00168-1
|
PUPT-1861
|
hep-th
| null |
High energy fixed angle scattering is studied in matrix string theory. The
saddle point world sheet configurations, which give the dominant contributions
to the string theory amplitude, are taken as classical backgrounds in matrix
string theory. A one loop fluctuation analysis about the classical background
is performed. An exact treatment of the fermionic and bosonic zero modes is
shown to lead to all of the expected structure of the scattering amplitude. The
ten dimensional Lorentz invariant kinematical structure is obtained from the
fermion zero modes, and the correct factor of the string coupling constant is
obtained from the abelian gauge field zero modes. Up to a numerical factor we
reproduce, from matrix string theory, the high energy limit of the tree level,
four graviton scattering amplitude.
|
[
{
"created": "Wed, 12 May 1999 20:16:10 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Dec 1999 16:42:30 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Mar 2000 13:08:23 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Wynter",
"Thomas",
""
]
] |
High energy fixed angle scattering is studied in matrix string theory. The saddle point world sheet configurations, which give the dominant contributions to the string theory amplitude, are taken as classical backgrounds in matrix string theory. A one loop fluctuation analysis about the classical background is performed. An exact treatment of the fermionic and bosonic zero modes is shown to lead to all of the expected structure of the scattering amplitude. The ten dimensional Lorentz invariant kinematical structure is obtained from the fermion zero modes, and the correct factor of the string coupling constant is obtained from the abelian gauge field zero modes. Up to a numerical factor we reproduce, from matrix string theory, the high energy limit of the tree level, four graviton scattering amplitude.
| 9.309628
| 8.720366
| 9.559811
| 8.31473
| 8.646588
| 8.172854
| 8.912863
| 9.059829
| 8.211714
| 11.102637
| 7.928536
| 8.203534
| 9.053175
| 8.127136
| 7.997918
| 7.877643
| 7.74543
| 7.841277
| 8.086686
| 8.910113
| 7.911084
|
hep-th/0103168
|
Zachary Guralnik
|
Zachary Guralnik and Jan Troost
|
Aspects of Gauge Theory on Commutative and Noncommutative Tori
|
27 pages, 3 figures, latex, references added, minor corrections
|
JHEP 0105:022,2001
|
10.1088/1126-6708/2001/05/022
|
CTP-MIT-3103
|
hep-th
| null |
We study aspects of gauge theory on tori which are a consequences of Morita
equivalence. In particular we study the behavior of gauge theory on
noncommutative tori for arbitrarily close rational values of Theta. For such
values of Theta, there are Morita equivalent descriptions in terms of
Yang-Mills theories on commutative tori with very different magnetic fluxes and
rank. In order for the correlators of open Wilson lines to depend smoothly on
Theta, the correlators of closed Wilson lines in the commutative Yang-Mills
theory must satisfy strong constraints. If exactly satisfied, these constraints
give relations between small and large N gauge theories. We verify that these
constraints are obeyed at leading order in the 1/N expansion of pure 2-d QCD
and of strongly coupled N=4 super Yang-Mills theory.
|
[
{
"created": "Tue, 20 Mar 2001 22:30:10 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Mar 2001 16:13:45 GMT",
"version": "v2"
},
{
"created": "Wed, 16 May 2001 15:33:33 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Guralnik",
"Zachary",
""
],
[
"Troost",
"Jan",
""
]
] |
We study aspects of gauge theory on tori which are a consequences of Morita equivalence. In particular we study the behavior of gauge theory on noncommutative tori for arbitrarily close rational values of Theta. For such values of Theta, there are Morita equivalent descriptions in terms of Yang-Mills theories on commutative tori with very different magnetic fluxes and rank. In order for the correlators of open Wilson lines to depend smoothly on Theta, the correlators of closed Wilson lines in the commutative Yang-Mills theory must satisfy strong constraints. If exactly satisfied, these constraints give relations between small and large N gauge theories. We verify that these constraints are obeyed at leading order in the 1/N expansion of pure 2-d QCD and of strongly coupled N=4 super Yang-Mills theory.
| 9.91052
| 9.086617
| 10.350672
| 9.103179
| 9.40766
| 9.254945
| 9.033991
| 9.177756
| 9.011006
| 10.849819
| 8.432216
| 8.691899
| 9.77714
| 8.719483
| 9.033745
| 8.894017
| 8.79824
| 8.937549
| 9.002917
| 9.763445
| 9.182616
|
0906.1515
|
Jason Doukas Dr
|
Jason Doukas, H. T. Cho, A. S. Cornell, Wade Naylor
|
Graviton emission from simply rotating Kerr-de Sitter black holes:
Transverse traceless tensor graviton modes
|
12 pages, 18 figures
|
Phys.Rev.D80:045021,2009
|
10.1103/PhysRevD.80.045021
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article we present results for tensor graviton modes (in seven
dimensions and greater, $n\geq 3$) for greybody factors of Kerr-dS black holes
and for Hawking radiation from simply rotating (n+4)-dimensional Kerr black
holes. Although there is some subtlety with defining the Hawking temperature of
a Kerr-dS black hole, we present some preliminary results for emissions
assuming the standard Hawking normalization and a Bousso-Hawking-like
normalization.
|
[
{
"created": "Mon, 8 Jun 2009 15:12:21 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2009 12:25:25 GMT",
"version": "v2"
}
] |
2011-04-11
|
[
[
"Doukas",
"Jason",
""
],
[
"Cho",
"H. T.",
""
],
[
"Cornell",
"A. S.",
""
],
[
"Naylor",
"Wade",
""
]
] |
In this article we present results for tensor graviton modes (in seven dimensions and greater, $n\geq 3$) for greybody factors of Kerr-dS black holes and for Hawking radiation from simply rotating (n+4)-dimensional Kerr black holes. Although there is some subtlety with defining the Hawking temperature of a Kerr-dS black hole, we present some preliminary results for emissions assuming the standard Hawking normalization and a Bousso-Hawking-like normalization.
| 15.486465
| 13.377952
| 15.003806
| 13.382963
| 13.33748
| 14.673645
| 14.725381
| 14.080571
| 12.410706
| 14.8258
| 13.726277
| 13.856586
| 13.183678
| 13.453854
| 13.551991
| 13.529697
| 14.422705
| 13.110228
| 13.314045
| 13.179504
| 13.750149
|
hep-th/9904180
|
Eduard Volodymyrouych Gorbar
|
E. V. Gorbar (Instituto de Fisica Teorica, Sao Paulo, Brazil)
|
Dynamical Symmetry Breaking in Spaces with Constant Negative Curvature
|
minor text changes, added new references
|
Phys.Rev. D61 (2000) 024013
|
10.1103/PhysRevD.61.024013
| null |
hep-th
| null |
By using the Nambu-Jona-Lasinio model, we study dynamical symmetry breaking
in spaces with constant negative curvature. We show that the physical reason
for zero value of critical coupling value $g_c = 0$ in these spaces is
connected with the effective reduction of dimension of spacetime $1 + D \to 1 +
1$ in the infrared region, which takes place for any dimension $1 + D$. Since
the Laplace-Beltrami operator has a gap in spaces with constant negative
curvature, such an effective reduction for scalar fields is absent and there
are not problems with radiative corrections due to scalar fields. Therefore,
dynamical symmetry breaking with the effective reduction of the dimension of
spacetime for fermions in the infrared region is consistent with the
Mermin-Wagner-Coleman theorem, which forbids spontaneous symmetry breaking in
(1 + 1)-dimensional spacetime.
|
[
{
"created": "Mon, 26 Apr 1999 20:18:10 GMT",
"version": "v1"
},
{
"created": "Tue, 18 May 1999 01:49:50 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Gorbar",
"E. V.",
"",
"Instituto de Fisica Teorica, Sao Paulo, Brazil"
]
] |
By using the Nambu-Jona-Lasinio model, we study dynamical symmetry breaking in spaces with constant negative curvature. We show that the physical reason for zero value of critical coupling value $g_c = 0$ in these spaces is connected with the effective reduction of dimension of spacetime $1 + D \to 1 + 1$ in the infrared region, which takes place for any dimension $1 + D$. Since the Laplace-Beltrami operator has a gap in spaces with constant negative curvature, such an effective reduction for scalar fields is absent and there are not problems with radiative corrections due to scalar fields. Therefore, dynamical symmetry breaking with the effective reduction of the dimension of spacetime for fermions in the infrared region is consistent with the Mermin-Wagner-Coleman theorem, which forbids spontaneous symmetry breaking in (1 + 1)-dimensional spacetime.
| 7.091219
| 7.25056
| 6.904521
| 6.692559
| 6.797458
| 6.925408
| 6.641958
| 6.570786
| 6.618849
| 7.466879
| 6.494352
| 6.553309
| 6.462801
| 6.64845
| 6.569035
| 6.526859
| 6.653878
| 6.682785
| 6.681395
| 6.701192
| 6.485425
|
hep-th/0611154
|
Mark Yonge Mr
|
Mark D. Yonge
|
AdS Taub-Nut Space and the O(N) Vector Model on a Squashed 3-Sphere
|
11 pages, 3 figures. References added
|
JHEP0707:004,2007
|
10.1088/1126-6708/2007/07/004
|
SWAT/06/480
|
hep-th
| null |
In this note, motivated by the Klebanov-Polyakov conjecture we investigate
the strongly coupled O(N) vector model at large $N$ on a squashed three-sphere
and its holographic relation to bulk gravity on asymptotically locally $AdS_4$
spaces. We present analytical results for the action of the field theory as the
squashing parameter $\alpha\to-1$, when the boundary becomes effectively one
dimensional. The dual bulk geometry is AdS-Taub-NUT space in the corresponding
limit. In this limit we solve the theory exactly and show that the action of
the strongly coupled boundary theory scales as $\ln(1+\alpha)/ (1+\alpha)^2$.
This result is remarkably close to the $-1/(1+\alpha)^2$ scaling of the
Einstein gravity action for AdS-Taub-NUT space. These results explain the
numerical agreement presented in hep-th/0503238, and the soft logarithmic
departure is interpreted as a prediction for the contribution due to higher
spin fields in the bulk $AdS_4$ geometry.
|
[
{
"created": "Tue, 14 Nov 2006 16:02:47 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jan 2007 13:09:13 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Apr 2007 09:07:23 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Yonge",
"Mark D.",
""
]
] |
In this note, motivated by the Klebanov-Polyakov conjecture we investigate the strongly coupled O(N) vector model at large $N$ on a squashed three-sphere and its holographic relation to bulk gravity on asymptotically locally $AdS_4$ spaces. We present analytical results for the action of the field theory as the squashing parameter $\alpha\to-1$, when the boundary becomes effectively one dimensional. The dual bulk geometry is AdS-Taub-NUT space in the corresponding limit. In this limit we solve the theory exactly and show that the action of the strongly coupled boundary theory scales as $\ln(1+\alpha)/ (1+\alpha)^2$. This result is remarkably close to the $-1/(1+\alpha)^2$ scaling of the Einstein gravity action for AdS-Taub-NUT space. These results explain the numerical agreement presented in hep-th/0503238, and the soft logarithmic departure is interpreted as a prediction for the contribution due to higher spin fields in the bulk $AdS_4$ geometry.
| 8.679339
| 8.668832
| 9.107709
| 7.936654
| 8.994143
| 7.917306
| 8.010627
| 8.490199
| 8.190432
| 9.783846
| 7.931476
| 8.52365
| 8.527475
| 8.134875
| 8.557243
| 8.694921
| 8.372081
| 8.313148
| 8.181491
| 8.395329
| 8.400076
|
hep-th/9907138
|
Paul Federbush
|
Paul Federbush (Univ. of Michigan)
|
Some Generalized BRS Transformations. II A Quantum Gravity Model
|
8 pages, LaTeX
| null | null | null |
hep-th
| null |
Generalized BRS transformations such as introduced in Part I (hep-th/9906245)
are applied to a model of quantum gravity. This development is technically
complex; but at the least should illustrate how much less rigid and more
general of application are the new BRS transformations.
|
[
{
"created": "Fri, 16 Jul 1999 14:59:11 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Federbush",
"Paul",
"",
"Univ. of Michigan"
]
] |
Generalized BRS transformations such as introduced in Part I (hep-th/9906245) are applied to a model of quantum gravity. This development is technically complex; but at the least should illustrate how much less rigid and more general of application are the new BRS transformations.
| 40.566414
| 29.407309
| 27.326073
| 26.016312
| 30.654387
| 30.259245
| 28.917698
| 29.202316
| 28.413088
| 31.021948
| 27.272467
| 28.564857
| 31.422592
| 30.498569
| 30.482082
| 29.300741
| 29.037516
| 28.919353
| 27.64077
| 30.493132
| 30.639217
|
hep-th/9604050
|
Fosco
|
C.D. Fosco
|
Tunneling between fermionic vacua and the overlap formalism
|
Reference added. 12 pages, LateX, no figures
|
Phys.Lett. B385 (1996) 193-197
|
10.1016/0370-2693(96)00852-0
| null |
hep-th
| null |
The probability amplitude for tunneling between the Dirac vacua corresponding
to different signs of a parity breaking fermionic mass $M$ in $2+1$ dimensions
is studied, making contact with the continuum overlap formulation for chiral
determinants. It is shown that the transition probability in the limit when $M
\to \infty$ corresponds, via the overlap formalism, to the squared modulus of a
chiral determinant in two Euclidean dimensions. The transition probabilities
corresponding to two particular examples: fermions on a torus with twisted
boundary conditions, and fermions on a disk in the presence of an external
constant magnetic field are evaluated.
|
[
{
"created": "Tue, 9 Apr 1996 20:53:47 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Apr 1996 13:59:54 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Fosco",
"C. D.",
""
]
] |
The probability amplitude for tunneling between the Dirac vacua corresponding to different signs of a parity breaking fermionic mass $M$ in $2+1$ dimensions is studied, making contact with the continuum overlap formulation for chiral determinants. It is shown that the transition probability in the limit when $M \to \infty$ corresponds, via the overlap formalism, to the squared modulus of a chiral determinant in two Euclidean dimensions. The transition probabilities corresponding to two particular examples: fermions on a torus with twisted boundary conditions, and fermions on a disk in the presence of an external constant magnetic field are evaluated.
| 9.710756
| 8.984526
| 10.054009
| 8.781171
| 9.568543
| 9.26369
| 8.739181
| 8.821309
| 8.425042
| 10.355186
| 8.484746
| 8.782903
| 9.17327
| 8.529479
| 8.751407
| 8.884382
| 8.385101
| 9.08771
| 8.709411
| 8.995669
| 8.489914
|
1401.1511
|
Eric R. Sharpe
|
B. Jia, E. Sharpe, R. Wu
|
Notes on nonabelian (0,2) theories and dualities
|
93 pages, LaTeX; v2: typos fixed
|
JHEP 08 (2014) 017
|
10.1007/JHEP08(2014)017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we explore basic aspects of nonabelian (0,2) GLSM's in two
dimensions for unitary gauge groups, an arena that until recently has largely
been unexplored. We begin by discussing general aspects of (0,2) theories,
including checks of dynamical supersymmetry breaking, spectators and weak
coupling limits, and also build some toy models of (0,2) theories for bundles
on Grassmannians, which gives us an opportunity to relate physical anomalies
and trace conditions to mathematical properties. We apply these ideas to study
(0,2) theories on Pfaffians, applying recent perturbative constructions of
Pfaffians of Jockers et al. We discuss how existing dualities in (2,2)
nonabelian gauge theories have a simple mathematical understanding, and make
predictions for additional dualities in (2,2) and (0,2) gauge theories.
Finally, we outline how duality works in open strings in unitary gauge
theories, and also describe why, in general terms, we expect analogous
dualities in (0,2) theories to be comparatively rare.
|
[
{
"created": "Tue, 7 Jan 2014 21:11:52 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2014 14:00:55 GMT",
"version": "v2"
}
] |
2014-09-12
|
[
[
"Jia",
"B.",
""
],
[
"Sharpe",
"E.",
""
],
[
"Wu",
"R.",
""
]
] |
In this paper we explore basic aspects of nonabelian (0,2) GLSM's in two dimensions for unitary gauge groups, an arena that until recently has largely been unexplored. We begin by discussing general aspects of (0,2) theories, including checks of dynamical supersymmetry breaking, spectators and weak coupling limits, and also build some toy models of (0,2) theories for bundles on Grassmannians, which gives us an opportunity to relate physical anomalies and trace conditions to mathematical properties. We apply these ideas to study (0,2) theories on Pfaffians, applying recent perturbative constructions of Pfaffians of Jockers et al. We discuss how existing dualities in (2,2) nonabelian gauge theories have a simple mathematical understanding, and make predictions for additional dualities in (2,2) and (0,2) gauge theories. Finally, we outline how duality works in open strings in unitary gauge theories, and also describe why, in general terms, we expect analogous dualities in (0,2) theories to be comparatively rare.
| 11.78253
| 11.420321
| 14.170588
| 11.141057
| 11.732821
| 11.614782
| 11.845266
| 11.773614
| 11.372478
| 13.997168
| 11.37368
| 11.596506
| 12.98384
| 11.803181
| 11.485265
| 11.765426
| 11.5761
| 11.452209
| 11.488393
| 12.676467
| 11.450762
|
1805.11485
|
Richard Szabo
|
Zoltan Kokenyesi, Annamaria Sinkovics, Richard J. Szabo
|
Double field theory for the A/B-models and topological S-duality in
generalized geometry
|
39 pages, 1 figure; v2: typos corrected, reference added
| null |
10.1002/prop.201800069
|
EMPG-18-11
|
hep-th math-ph math.DG math.MP math.QA math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study AKSZ-type BV constructions for the topological A- and B-models
within a double field theory formulation that incorporates backgrounds with
geometric and non-geometric fluxes. We relate them to a Courant sigma-model, on
an open membrane, corresponding to a generalized complex structure, which
reduces to the A- or B-models on the boundary. We introduce S-duality at the
level of the membrane sigma-model based on the generalized complex structure,
which exchanges the related AKSZ field theories, and interpret it as
topological S-duality of the A- and B-models. Our approach leads to new classes
of Courant algebroids associated to (generalized) complex geometry.
|
[
{
"created": "Tue, 29 May 2018 14:06:25 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jun 2018 11:28:59 GMT",
"version": "v2"
}
] |
2018-12-05
|
[
[
"Kokenyesi",
"Zoltan",
""
],
[
"Sinkovics",
"Annamaria",
""
],
[
"Szabo",
"Richard J.",
""
]
] |
We study AKSZ-type BV constructions for the topological A- and B-models within a double field theory formulation that incorporates backgrounds with geometric and non-geometric fluxes. We relate them to a Courant sigma-model, on an open membrane, corresponding to a generalized complex structure, which reduces to the A- or B-models on the boundary. We introduce S-duality at the level of the membrane sigma-model based on the generalized complex structure, which exchanges the related AKSZ field theories, and interpret it as topological S-duality of the A- and B-models. Our approach leads to new classes of Courant algebroids associated to (generalized) complex geometry.
| 9.818002
| 10.149034
| 11.192161
| 9.284621
| 10.05595
| 9.433492
| 9.774527
| 8.996244
| 9.533648
| 11.750002
| 8.843414
| 9.266238
| 9.818126
| 9.469806
| 9.447728
| 9.49141
| 9.324753
| 9.544244
| 9.281157
| 10.11011
| 9.215752
|
2408.03643
|
Peihe Yang
|
Jun-Bao Wu and Peihe Yang
|
Three-point Functions in Aharony--Bergman--Jafferis--Maldacena Theory
and Integrable Boundary States
|
10+5 pages, no figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the correlators of three single-trace operators in
Aharony-Bergman-Jafferis-Maldacena (ABJM) theory from the perspective of
integrable boundary states. Specifically, we focus on scenarios where two
operators being $1/3$-BPS and the entire correlation function is considered
within the twisted-translated frame. The correlator can be expressed as the
overlap between a boundary state and a Bethe state. It is found that the
boundary state formed by the two $1/3$-BPS operators is integrable only when
the number of Wick contractions between the non-BPS operator and one of the
$1/3$-BPS operators is 0 or 1. We compute the overlaps for the integrable cases
utilizing the symmetries preserved by the correlators.
|
[
{
"created": "Wed, 7 Aug 2024 09:07:51 GMT",
"version": "v1"
}
] |
2024-08-08
|
[
[
"Wu",
"Jun-Bao",
""
],
[
"Yang",
"Peihe",
""
]
] |
We investigate the correlators of three single-trace operators in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory from the perspective of integrable boundary states. Specifically, we focus on scenarios where two operators being $1/3$-BPS and the entire correlation function is considered within the twisted-translated frame. The correlator can be expressed as the overlap between a boundary state and a Bethe state. It is found that the boundary state formed by the two $1/3$-BPS operators is integrable only when the number of Wick contractions between the non-BPS operator and one of the $1/3$-BPS operators is 0 or 1. We compute the overlaps for the integrable cases utilizing the symmetries preserved by the correlators.
| 6.86802
| 6.611652
| 8.216137
| 6.794358
| 6.605029
| 6.490016
| 6.461396
| 6.234773
| 6.378429
| 7.947178
| 6.274263
| 6.372236
| 6.860228
| 6.667183
| 6.606055
| 6.498427
| 6.658409
| 6.656991
| 6.391174
| 6.771686
| 6.428172
|
1512.04538
|
Simon Gentle A
|
Simon A. Gentle and Cynthia Keeler
|
On the reconstruction of Lifshitz spacetimes
|
40 pages, 14 figures; v2: references added
| null |
10.1007/JHEP03(2016)195
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the reconstruction of a Lifshitz spacetime from three
perspectives: differential entropy (or "hole-ography"), causal wedges and
entanglement wedges. We find that not all time-varying bulk curves in vacuum
Lifshitz can be reconstructed via the differential entropy approach, adding a
caveat to the general analysis of \cite{Headrick:2014eia}. We show that the
causal wedge for Lifshitz spacetimes degenerates, while the entanglement wedge
requires the additional consideration of a set of boundary-emanating
light-sheets. The need to include bulk surfaces with no clear field theory
interpretation in the differential entropy construction and the change in the
entanglement wedge formation both serve as warnings against a naive application
of holographic entanglement entropy proposals in Lifshitz spacetimes.
|
[
{
"created": "Mon, 14 Dec 2015 21:00:32 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jan 2016 18:01:52 GMT",
"version": "v2"
}
] |
2016-05-04
|
[
[
"Gentle",
"Simon A.",
""
],
[
"Keeler",
"Cynthia",
""
]
] |
We consider the reconstruction of a Lifshitz spacetime from three perspectives: differential entropy (or "hole-ography"), causal wedges and entanglement wedges. We find that not all time-varying bulk curves in vacuum Lifshitz can be reconstructed via the differential entropy approach, adding a caveat to the general analysis of \cite{Headrick:2014eia}. We show that the causal wedge for Lifshitz spacetimes degenerates, while the entanglement wedge requires the additional consideration of a set of boundary-emanating light-sheets. The need to include bulk surfaces with no clear field theory interpretation in the differential entropy construction and the change in the entanglement wedge formation both serve as warnings against a naive application of holographic entanglement entropy proposals in Lifshitz spacetimes.
| 10.751606
| 11.735494
| 13.490795
| 11.549073
| 12.793412
| 11.998049
| 11.205032
| 12.380404
| 11.424068
| 13.290127
| 10.697473
| 10.753531
| 11.478394
| 10.769313
| 11.189351
| 10.934588
| 11.038536
| 11.026116
| 10.917217
| 11.753333
| 10.602758
|
1702.03722
|
Tanmoy Paul
|
Tanmoy Paul
|
"Brane localized energy density" stabilizes the modulus in higher
dimensional warped spacetime
|
6 pages, 1 figure. arXiv admin note: text overlap with
arXiv:1701.01571
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a five dimensional AdS spacetime with two 3-brane scenario where
the hidden brane contains a certain amount of positive constant energy density.
In this model, we examine the possibility of modulus stabilization. Our result
reveals that the non-zero value of "hidden brane energy density" is sufficient
to stabilize the two brane system. Moreover we scan the parametric space for
which the modulus (or radion) is going to be stabilized without sacrificing the
conditions necessary to solve the gauge hierarchy problem. Finally we obtain
the mass and coupling parameters of radion field in this higher dimensional
braneworld scenario.
|
[
{
"created": "Mon, 13 Feb 2017 11:37:31 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Feb 2017 12:14:48 GMT",
"version": "v2"
}
] |
2017-02-15
|
[
[
"Paul",
"Tanmoy",
""
]
] |
We consider a five dimensional AdS spacetime with two 3-brane scenario where the hidden brane contains a certain amount of positive constant energy density. In this model, we examine the possibility of modulus stabilization. Our result reveals that the non-zero value of "hidden brane energy density" is sufficient to stabilize the two brane system. Moreover we scan the parametric space for which the modulus (or radion) is going to be stabilized without sacrificing the conditions necessary to solve the gauge hierarchy problem. Finally we obtain the mass and coupling parameters of radion field in this higher dimensional braneworld scenario.
| 12.299167
| 10.876117
| 11.745498
| 10.569454
| 11.532295
| 10.266026
| 11.628123
| 11.476697
| 10.797424
| 11.37458
| 10.976829
| 10.940232
| 11.228184
| 10.927719
| 11.03032
| 11.178648
| 10.71022
| 10.91623
| 10.890819
| 11.121981
| 11.197077
|
hep-th/9604038
|
Konstantin V. Stepanyantz
|
P.Pronin, K.Stepanyantz
|
One-loop background calculations in the general field theory
|
30 pages, RevTex, Figures are made by RevTex, Submitted to Phys.Rev.D
| null |
10.1142/9789812830180_0022
| null |
hep-th
| null |
We present master formulas for the divergent part of the one-loop effective
action for a minimal operator of any order in the 4-dimensional curved space
and for an arbitrary nonminimal operator in the flat space.
|
[
{
"created": "Mon, 8 Apr 1996 14:51:52 GMT",
"version": "v1"
}
] |
2016-10-26
|
[
[
"Pronin",
"P.",
""
],
[
"Stepanyantz",
"K.",
""
]
] |
We present master formulas for the divergent part of the one-loop effective action for a minimal operator of any order in the 4-dimensional curved space and for an arbitrary nonminimal operator in the flat space.
| 13.356327
| 7.522163
| 11.799779
| 8.326863
| 8.060519
| 7.437901
| 7.863196
| 8.818155
| 8.589374
| 12.124581
| 9.411664
| 9.511763
| 11.427046
| 10.67267
| 9.524678
| 9.596091
| 9.923018
| 9.836354
| 10.192349
| 12.428668
| 9.913478
|
1411.3139
|
Harold Steinacker
|
Harold C. Steinacker
|
Spinning squashed extra dimensions and chiral gauge theory from
$\cal{N}=4$ SYM
|
35 pages, one figure. V2: substantial revision, missing constraint
incorporated excluding some solutions. V3: fluctuation analysis added,
published version
| null |
10.1016/j.nuclphysb.2015.04.023
|
UWThPh-2014-25
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
New solutions of $SU(N)$ ${\cal N}=4$ SYM on $\mathbb{R}^4$ interpreted as
spinning self-intersecting extra dimensions are discussed. Remarkably, these
backgrounds lead to a low-energy sector with 3 generations of chiral fermions
coupled to scalar and gauge fields, with standard Lorentz-invariant kinematics.
This sector arises from zero modes localized on the rotation axes, which are
oblivious to the background rotation. The remaining modes are not described by
a Lorentz-invariant field theory and are mostly "heavy", but there is one
sextet of tachyonic excitations. Assuming that the latter get stabilized e.g.
by quantum effects, we argue that different rotation frequencies would induce a
VEV for some of the low-energy scalar fields. We discuss configurations which
may lead to a low-energy physics not far from the broken phase of the standard
model.
|
[
{
"created": "Wed, 12 Nov 2014 11:06:48 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 2014 14:47:47 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Apr 2015 13:20:37 GMT",
"version": "v3"
}
] |
2015-05-20
|
[
[
"Steinacker",
"Harold C.",
""
]
] |
New solutions of $SU(N)$ ${\cal N}=4$ SYM on $\mathbb{R}^4$ interpreted as spinning self-intersecting extra dimensions are discussed. Remarkably, these backgrounds lead to a low-energy sector with 3 generations of chiral fermions coupled to scalar and gauge fields, with standard Lorentz-invariant kinematics. This sector arises from zero modes localized on the rotation axes, which are oblivious to the background rotation. The remaining modes are not described by a Lorentz-invariant field theory and are mostly "heavy", but there is one sextet of tachyonic excitations. Assuming that the latter get stabilized e.g. by quantum effects, we argue that different rotation frequencies would induce a VEV for some of the low-energy scalar fields. We discuss configurations which may lead to a low-energy physics not far from the broken phase of the standard model.
| 14.151695
| 12.930652
| 13.923108
| 13.229769
| 13.688998
| 13.608579
| 12.853873
| 12.237954
| 12.675712
| 13.294227
| 12.767768
| 11.85039
| 12.650929
| 12.133469
| 12.410023
| 12.630605
| 11.942079
| 12.034178
| 12.108532
| 12.561319
| 12.240111
|
hep-th/0304132
|
Nicholas Warner
|
C.N. Pope and N.P. Warner
|
A Dielectric Flow Solution with Maximal Supersymmetry
|
17 pages; harvmac
|
JHEP 0404:011,2004
|
10.1088/1126-6708/2004/04/011
|
MIFP-03-06, USC-03/01
|
hep-th
| null |
We obtain a solution to eleven-dimensional supergravity that consists of
M2-branes embedded in a dielectric distribution of M5-branes. Contrary to
normal expectations, this solution has maximal supersymmetry for a brane
solution (i.e. sixteen supercharges). While the solution is constructed using
gauged supergravity in four dimensions, the complete eleven-dimensional
solution is given. In particular, we obtain the Killing spinors explicitly, and
we find that they are characterised by a duality rotation of the standard
Dirichlet projection matrix for M2-branes.
|
[
{
"created": "Tue, 15 Apr 2003 06:47:11 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Pope",
"C. N.",
""
],
[
"Warner",
"N. P.",
""
]
] |
We obtain a solution to eleven-dimensional supergravity that consists of M2-branes embedded in a dielectric distribution of M5-branes. Contrary to normal expectations, this solution has maximal supersymmetry for a brane solution (i.e. sixteen supercharges). While the solution is constructed using gauged supergravity in four dimensions, the complete eleven-dimensional solution is given. In particular, we obtain the Killing spinors explicitly, and we find that they are characterised by a duality rotation of the standard Dirichlet projection matrix for M2-branes.
| 10.45837
| 9.743254
| 11.318694
| 9.302412
| 9.720473
| 9.683484
| 9.886563
| 9.483979
| 8.670748
| 11.38865
| 8.764656
| 8.858164
| 9.773748
| 9.24218
| 8.630374
| 9.12404
| 9.227565
| 8.991717
| 9.112922
| 9.524944
| 8.746526
|
hep-th/0204194
|
Hugo Reinhardt
|
H. Reinhardt
|
Topology of Center Vortices
|
9 pages, 4 figures, Latex2e, Talk given at the NATO workshop on
``Confinement, Topology, and other Non-Perturbative Aspects of QCD'', Stara
Lesna, Slovakia, January 21-27, 2000
| null |
10.1142/9789812704269_0019
|
UNITUE-THEP-12/2002
|
hep-th
| null |
In this talk I study the topology of mathematically idealised center
vortices, defined in a gauge invariant way as closed (infinitely thin) flux
surfaces (in D=4 dimensions) which contribute the $n^{th}$ power of a
non-trivial center element to Wilson loops when they are n-foldly linked to the
latter. In ordinary 3-space generic center vortices represent closed magnetic
flux loops which evolve in time. I show that the topological charge of such a
time-dependent vortex loop can be entirely expressed by the temporal changes of
its writhing number.
|
[
{
"created": "Tue, 23 Apr 2002 13:59:14 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Reinhardt",
"H.",
""
]
] |
In this talk I study the topology of mathematically idealised center vortices, defined in a gauge invariant way as closed (infinitely thin) flux surfaces (in D=4 dimensions) which contribute the $n^{th}$ power of a non-trivial center element to Wilson loops when they are n-foldly linked to the latter. In ordinary 3-space generic center vortices represent closed magnetic flux loops which evolve in time. I show that the topological charge of such a time-dependent vortex loop can be entirely expressed by the temporal changes of its writhing number.
| 16.119717
| 10.505728
| 16.203346
| 12.159874
| 11.019126
| 10.498362
| 9.840166
| 12.095557
| 12.120374
| 18.634687
| 12.161794
| 12.845835
| 14.733489
| 14.073177
| 13.742726
| 13.313204
| 14.493812
| 14.736195
| 13.72758
| 15.561395
| 14.160126
|
hep-th/0005251
|
Dieter Luest H.
|
Michael Faux, Dieter Lust, Burt A. Ovrut
|
Local Anomaly Cancellation, M-Theory Orbifolds and Phase-Transitions
|
30 pages, 9 figures, revised version corrects an error concerning an
hypermultiplet representation
|
Nucl.Phys.B589:269-291,2000
|
10.1016/S0550-3213(00)00513-7
|
CU-TP-977, HU-EP 00/23, UPR-889T
|
hep-th
| null |
In this paper we consider orbifold compactifications of M-theory on $S^1/{\bf
Z}_2\times T^4/{\bf Z}_2$. We discuss solutions of the local anomaly matching
conditions by twisted vector, tensor and hypermultiplets confined on the local
orbifold six-planes. In addition we consider phase-transitions among different
solutions which are mediated by M-theory fivebranes which touch the local
orbifold planes and are converted there to gauge instantons.
|
[
{
"created": "Fri, 26 May 2000 09:32:02 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jun 2000 10:17:18 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Faux",
"Michael",
""
],
[
"Lust",
"Dieter",
""
],
[
"Ovrut",
"Burt A.",
""
]
] |
In this paper we consider orbifold compactifications of M-theory on $S^1/{\bf Z}_2\times T^4/{\bf Z}_2$. We discuss solutions of the local anomaly matching conditions by twisted vector, tensor and hypermultiplets confined on the local orbifold six-planes. In addition we consider phase-transitions among different solutions which are mediated by M-theory fivebranes which touch the local orbifold planes and are converted there to gauge instantons.
| 11.025264
| 9.526151
| 11.513364
| 9.275372
| 10.89501
| 9.511168
| 9.167453
| 8.921473
| 9.636744
| 12.061543
| 9.316758
| 9.955646
| 10.558397
| 9.453405
| 9.199638
| 9.435023
| 9.287093
| 9.450485
| 9.581309
| 10.466125
| 9.337189
|
hep-th/9606103
|
Erich Poppitz
|
Erich Poppitz
|
Renormalization Flow, Duality, and Supersymmetry Breaking in Some N=1
Product-Group Theories
|
Talk given at SUSY'96; 3 pages, LateX, style-, ps-files included
|
Nucl.Phys.Proc.Suppl. 52A (1997) 220-222
|
10.1016/S0920-5632(96)00566-X
|
EFI-96-23
|
hep-th hep-ph
| null |
We discuss the renormalization group flow, duality, and supersymmetry
breaking in N = 1 supersymmetric SU(N)xSU(M) gauge theories.
|
[
{
"created": "Mon, 17 Jun 1996 21:44:45 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Poppitz",
"Erich",
""
]
] |
We discuss the renormalization group flow, duality, and supersymmetry breaking in N = 1 supersymmetric SU(N)xSU(M) gauge theories.
| 7.312324
| 5.278039
| 5.784195
| 5.406001
| 5.308915
| 4.499357
| 5.362434
| 5.305508
| 5.170135
| 6.102941
| 5.993086
| 5.89953
| 6.61802
| 5.777308
| 5.851806
| 6.601095
| 5.653622
| 6.24813
| 5.940239
| 6.412769
| 5.747212
|
0906.2525
|
Tomohiro Matsuda
|
Tomohiro Matsuda
|
Delta-N formalism for the evolution of the curvature perturbations in
generalized multi-field inflation
|
24 pages, latex2e, 1 figure, added comment for inflation with a step
on the potential, accepted for publication in PLB
|
Phys.Lett.B682:163-170,2009
|
10.1016/j.physletb.2009.11.001
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The delta-N formalism is considered to calculate the evolution of the
curvature perturbation in generalized multi-field inflation models. The result
is consistent with the usual calculation of the standard kinetic term. For the
calculation of the generalized kinetic term, we improved the definition of the
adiabatic field. Our calculation improves the usual calculation of the
evolution of the curvature perturbations based on the field equations and the
perturbations, giving a very simple and intuitive argument for the evolution
equations in terms of the perturbations of the inflaton velocity. Significance
of non-equilibrium corrections are also discussed, which is caused by the
small-scale (decaying) inhomogeneities. This formalism based on the modulated
inflation scenario (i.e., calculation based on the perturbations related to the
inflaton velocity) provides a powerful tool for investigating the signature of
moduli that may appear in string theory.
|
[
{
"created": "Sun, 14 Jun 2009 10:35:38 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 2009 04:24:56 GMT",
"version": "v2"
}
] |
2009-11-23
|
[
[
"Matsuda",
"Tomohiro",
""
]
] |
The delta-N formalism is considered to calculate the evolution of the curvature perturbation in generalized multi-field inflation models. The result is consistent with the usual calculation of the standard kinetic term. For the calculation of the generalized kinetic term, we improved the definition of the adiabatic field. Our calculation improves the usual calculation of the evolution of the curvature perturbations based on the field equations and the perturbations, giving a very simple and intuitive argument for the evolution equations in terms of the perturbations of the inflaton velocity. Significance of non-equilibrium corrections are also discussed, which is caused by the small-scale (decaying) inhomogeneities. This formalism based on the modulated inflation scenario (i.e., calculation based on the perturbations related to the inflaton velocity) provides a powerful tool for investigating the signature of moduli that may appear in string theory.
| 12.009462
| 12.990541
| 12.836965
| 12.299417
| 12.112435
| 12.324796
| 13.00562
| 11.474877
| 12.24907
| 13.247444
| 10.873075
| 11.283323
| 11.345835
| 11.75488
| 11.654544
| 11.329449
| 11.158688
| 11.186798
| 11.376575
| 11.945425
| 11.456972
|
2301.01810
|
Charlotte Sleight
|
Charlotte Sleight and Massimo Taronna
|
Celestial Holography Revisited
|
17 pages + appendices, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the prescription commonly used to define holographic Celestial
Correlators as an integral transform of flat space scattering amplitudes. We
propose a new prescription according to which holographic Celestial Correlators
are a Mellin transform of Minkowski time-ordered correlators extrapolated to
the conformal boundary, which is analogous to the extrapolate definition of
holographic correlators in AdS/CFT. Our proposal is motivated by an ambiguity
in the standard prescription for Celestial Correlators owing the presence of a
divergent integral in the definition of conformal primary wave functions. We
show that perturbative Celestial Correlators defined in this new way are
manifestly recast in terms of corresponding Witten diagrams in Euclidean
anti-de Sitter space. We also discuss the possibility of using this definition
of Celestial Correlators in terms of bulk correlation functions to explore the
non-perturbative properties of Celestial Correlators dual to Conformal Field
Theories in Minkowski space.
|
[
{
"created": "Wed, 4 Jan 2023 20:14:45 GMT",
"version": "v1"
}
] |
2023-01-06
|
[
[
"Sleight",
"Charlotte",
""
],
[
"Taronna",
"Massimo",
""
]
] |
We revisit the prescription commonly used to define holographic Celestial Correlators as an integral transform of flat space scattering amplitudes. We propose a new prescription according to which holographic Celestial Correlators are a Mellin transform of Minkowski time-ordered correlators extrapolated to the conformal boundary, which is analogous to the extrapolate definition of holographic correlators in AdS/CFT. Our proposal is motivated by an ambiguity in the standard prescription for Celestial Correlators owing the presence of a divergent integral in the definition of conformal primary wave functions. We show that perturbative Celestial Correlators defined in this new way are manifestly recast in terms of corresponding Witten diagrams in Euclidean anti-de Sitter space. We also discuss the possibility of using this definition of Celestial Correlators in terms of bulk correlation functions to explore the non-perturbative properties of Celestial Correlators dual to Conformal Field Theories in Minkowski space.
| 6.941477
| 6.442183
| 7.722014
| 6.554125
| 6.383765
| 6.884057
| 6.844171
| 6.604554
| 6.54223
| 8.442952
| 6.588678
| 6.779083
| 7.116739
| 6.791958
| 6.791035
| 6.796052
| 6.828307
| 6.924753
| 6.913601
| 7.299095
| 6.741539
|
hep-th/0605084
|
Roland de Putter
|
Ana Achucarro, Roland de Putter
|
Effective non-intercommutation of local cosmic strings at high collision
speeds
|
5 pages, 4 figures. data points added, plots for deep type II regime
showing lower critical velocities, some minor changes in text
|
Phys.Rev.D74:121701,2006
|
10.1103/PhysRevD.74.121701
| null |
hep-th astro-ph hep-ph
| null |
We present evidence that Abrikosov-Nielsen-Olesen (ANO) strings pass through
each other for very high speeds of approach due to a double intercommutation.
In near-perpendicular collisions numerical simulations give threshold speeds
bounded above by $\sim 0.97 c$ for type I, and by $\sim 0.90 c$ for deep type
II strings. The second intercommutation occurs because at ultra high collision
speeds, the connecting segments formed by the first intercommutation are nearly
static and almost antiparallel, which gives them time to interact and
annihilate. A simple model explains the rough features of the threshold
velocity dependence with the incidence angle. For deep type II strings and
large incidence angles a second effect becomes dominant, the formation of a
loop that catches up with the interpolating segments. The loop is related to
the observed vortex - antivortex reemergence in two-dimensions. In this case
the critical value for double intercommutation can become much lower.
|
[
{
"created": "Mon, 8 May 2006 17:04:40 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Oct 2006 18:36:36 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Achucarro",
"Ana",
""
],
[
"de Putter",
"Roland",
""
]
] |
We present evidence that Abrikosov-Nielsen-Olesen (ANO) strings pass through each other for very high speeds of approach due to a double intercommutation. In near-perpendicular collisions numerical simulations give threshold speeds bounded above by $\sim 0.97 c$ for type I, and by $\sim 0.90 c$ for deep type II strings. The second intercommutation occurs because at ultra high collision speeds, the connecting segments formed by the first intercommutation are nearly static and almost antiparallel, which gives them time to interact and annihilate. A simple model explains the rough features of the threshold velocity dependence with the incidence angle. For deep type II strings and large incidence angles a second effect becomes dominant, the formation of a loop that catches up with the interpolating segments. The loop is related to the observed vortex - antivortex reemergence in two-dimensions. In this case the critical value for double intercommutation can become much lower.
| 14.312654
| 15.14716
| 14.262648
| 13.786017
| 14.345855
| 14.134879
| 14.309458
| 13.857666
| 13.160362
| 14.774371
| 14.062347
| 13.591011
| 13.509197
| 13.282464
| 13.606636
| 13.676751
| 13.442907
| 13.493408
| 13.365361
| 13.608091
| 13.468139
|
0905.4330
|
Toshiaki Tanaka
|
Bijan Bagchi, Toshiaki Tanaka
|
Existence of Different Intermediate Hamiltonians in Type A N-fold
Supersymmetry
|
17 pages, no figures; minor corrections, to appear in Annals of
Physics
|
Annals Phys.324:2438-2451,2009
|
10.1016/j.aop.2009.08.002
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Type A N-fold supercharge admits a one-parameter family of factorizations
into product of N first-order linear differential operators due to an
underlying GL(2,C) symmetry. As a consequence, a type A N-fold supersymmetric
system can have different intermediate Hamiltonians corresponding to different
factorizations. We derive the necessary and sufficient conditions for the
latter system to possess intermediate Hamiltonians for the N=2 case. We then
show that whenever it has (at least) one intermediate Hamiltonian, it can admit
second-order parasupersymmetry and a generalized 2-fold superalgebra. As an
illustration, we construct a set of generalized Poeschl--Teller potentials of
this kind.
|
[
{
"created": "Wed, 27 May 2009 04:24:25 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Aug 2009 05:44:04 GMT",
"version": "v2"
}
] |
2009-10-06
|
[
[
"Bagchi",
"Bijan",
""
],
[
"Tanaka",
"Toshiaki",
""
]
] |
Type A N-fold supercharge admits a one-parameter family of factorizations into product of N first-order linear differential operators due to an underlying GL(2,C) symmetry. As a consequence, a type A N-fold supersymmetric system can have different intermediate Hamiltonians corresponding to different factorizations. We derive the necessary and sufficient conditions for the latter system to possess intermediate Hamiltonians for the N=2 case. We then show that whenever it has (at least) one intermediate Hamiltonian, it can admit second-order parasupersymmetry and a generalized 2-fold superalgebra. As an illustration, we construct a set of generalized Poeschl--Teller potentials of this kind.
| 14.329775
| 10.955115
| 14.718719
| 11.933447
| 13.620485
| 12.310227
| 12.005048
| 11.557497
| 11.277503
| 16.695127
| 12.097549
| 11.345072
| 12.379436
| 11.553362
| 11.31941
| 11.475454
| 11.806676
| 11.628149
| 11.581634
| 13.415715
| 11.967955
|
hep-th/0003063
|
Carlos A. R. Herdeiro
|
C.A.R.Herdeiro (DAMTP,Cambridge)
|
Special Properties of Five Dimensional BPS Rotating Black Holes
|
29 pages,1 figure, LaTeX; minor changes, typos corrected, 3
references added; to appear in Nucl. Phys. B
|
Nucl.Phys. B582 (2000) 363-392
|
10.1016/S0550-3213(00)00335-7
| null |
hep-th gr-qc
| null |
Supersymmetric, rotating, asymptotically flat black holes with a regular
horizon are rare configurations in String Theory. One example is known in five
spacetime dimensions, within the toroidal compactification of type IIB string
theory. Such special solution is allowed by the existence of a Chern-Simons
coupling in the Supergravity theory and by the possibility of imposing a self
duality condition on the `rotation 2-form'. We explore three peculiar features
of such black holes: 1) Oxidising to D=10 the five dimensional configuration
may be interpreted as a system of $D1-D5$ branes with a Brinkmann wave
propagating along their worldvolume. Unlike its five dimensional Kaluza-Klein
compactification, the universal covering space of this manifold has no
causality violations. In other words, causal anomalies can be solved in higher
dimensions. From the dual SCFT viewpoint, the causality bound for the
compactified spacetime arises as the unitarity bound; 2) The vanishing of the
scattering cross section for uncharged scalars and sufficiently high angular
momentum of the background is shown still to hold at the level of charged
interactions. The same is verified when a non-minimal coupling to the geometry
is used. Therefore, the `repulson' behaviour previously found is universal for
non accelerated observers; 3) The solutions are shown to have a non-standard
gyromagnetic ratio of $g=3$. In contrast, the superpartners of a static, BPS,
five dimensional black hole have $g=1$. At the semi-classical level, we find
that a Dirac fermion propagating in the rotating hole background has $g=2\pm1$,
depending on the spinor direction of the fermion being parallel to Killing or
`anti-Killing' spinors.
|
[
{
"created": "Wed, 8 Mar 2000 19:56:11 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Mar 2000 09:14:07 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Apr 2000 18:03:59 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Herdeiro",
"C. A. R.",
"",
"DAMTP,Cambridge"
]
] |
Supersymmetric, rotating, asymptotically flat black holes with a regular horizon are rare configurations in String Theory. One example is known in five spacetime dimensions, within the toroidal compactification of type IIB string theory. Such special solution is allowed by the existence of a Chern-Simons coupling in the Supergravity theory and by the possibility of imposing a self duality condition on the `rotation 2-form'. We explore three peculiar features of such black holes: 1) Oxidising to D=10 the five dimensional configuration may be interpreted as a system of $D1-D5$ branes with a Brinkmann wave propagating along their worldvolume. Unlike its five dimensional Kaluza-Klein compactification, the universal covering space of this manifold has no causality violations. In other words, causal anomalies can be solved in higher dimensions. From the dual SCFT viewpoint, the causality bound for the compactified spacetime arises as the unitarity bound; 2) The vanishing of the scattering cross section for uncharged scalars and sufficiently high angular momentum of the background is shown still to hold at the level of charged interactions. The same is verified when a non-minimal coupling to the geometry is used. Therefore, the `repulson' behaviour previously found is universal for non accelerated observers; 3) The solutions are shown to have a non-standard gyromagnetic ratio of $g=3$. In contrast, the superpartners of a static, BPS, five dimensional black hole have $g=1$. At the semi-classical level, we find that a Dirac fermion propagating in the rotating hole background has $g=2\pm1$, depending on the spinor direction of the fermion being parallel to Killing or `anti-Killing' spinors.
| 12.424325
| 13.666402
| 13.702849
| 12.931031
| 13.596923
| 13.032733
| 13.185466
| 12.986459
| 12.341462
| 13.443544
| 11.916492
| 12.071677
| 12.136926
| 12.01495
| 12.134049
| 11.834582
| 12.15064
| 11.952131
| 12.04394
| 12.216332
| 11.796783
|
1005.0323
|
Nicola Ambrosetti
|
Nicola Ambrosetti, Ignatios Antoniadis, Jean-Pierre Derendinger,
Panteleimon Tziveloglou
|
The Hypermultiplet with Heisenberg Isometry in N=2 Global and Local
Supersymmetry
|
24 pages
| null |
10.1007/JHEP06(2011)139
|
CERN-PH-TH/2010-085
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The string coupling of N=2 supersymmetric compactifications of type II string
theory on a Calabi-Yau manifold belongs to the so-called universal dilaton
hypermultiplet, that has four real scalars living on a quaternion-Kaehler
manifold. Requiring Heisenberg symmetry, which is a maximal subgroup of
perturbative isometries, reduces the possible manifolds to a one-parameter
family that describes the tree-level effective action deformed by the only
possible perturbative correction arising at one-loop level. A similar argument
can be made at the level of global supersymmetry where the scalar manifold is
hyper-Kaehler. In this work, the connection between global and local
supersymmetry is explicitly constructed, providing a non-trivial gravity
decoupled limit of type II strings already in perturbation theory.
|
[
{
"created": "Mon, 3 May 2010 15:25:40 GMT",
"version": "v1"
}
] |
2015-05-18
|
[
[
"Ambrosetti",
"Nicola",
""
],
[
"Antoniadis",
"Ignatios",
""
],
[
"Derendinger",
"Jean-Pierre",
""
],
[
"Tziveloglou",
"Panteleimon",
""
]
] |
The string coupling of N=2 supersymmetric compactifications of type II string theory on a Calabi-Yau manifold belongs to the so-called universal dilaton hypermultiplet, that has four real scalars living on a quaternion-Kaehler manifold. Requiring Heisenberg symmetry, which is a maximal subgroup of perturbative isometries, reduces the possible manifolds to a one-parameter family that describes the tree-level effective action deformed by the only possible perturbative correction arising at one-loop level. A similar argument can be made at the level of global supersymmetry where the scalar manifold is hyper-Kaehler. In this work, the connection between global and local supersymmetry is explicitly constructed, providing a non-trivial gravity decoupled limit of type II strings already in perturbation theory.
| 9.26545
| 10.417658
| 9.67561
| 9.246068
| 9.983094
| 10.369061
| 9.905117
| 10.234599
| 9.565143
| 11.340978
| 9.625112
| 9.804359
| 9.416199
| 9.247443
| 9.816312
| 9.732379
| 10.078626
| 9.169592
| 9.318784
| 9.729866
| 9.184771
|
1904.02170
|
Sebastian Grieninger
|
Hao Geng, Sebastian Grieninger, Andreas Karch
|
Entropy, Entanglement and Swampland Bounds in DS/dS
|
14+1 pages, 4 figures, added references, corrected figure 3
|
J. High Energ. Phys. (2019) 2019: 105
|
10.1007/JHEP06(2019)105
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the entanglement entropy of the de-Sitter (dS) static patch in
the context of the DS/dS correspondence. Interestingly, we find that there
exists a one parameter family of bulk minimal surfaces that all have the same
area. Two of them have appeared earlier in the literature. All of them
correctly calculate the dS entropy. One surface yields the entanglement between
the two different CFTs that provide the holographic dual of the bulk DS
geometry. The second surface describes the entanglement across the horizon in
the boundary static patch. The other surfaces describe a mixture of these two
concepts. We also show that in the presence of extra matter fields the former
entanglement entropy always exceeds the dS entropy. We interpret this result in
the context of entropy bounds in de Sitter space and the swampland program.
|
[
{
"created": "Wed, 3 Apr 2019 18:00:07 GMT",
"version": "v1"
},
{
"created": "Fri, 10 May 2019 17:48:09 GMT",
"version": "v2"
}
] |
2019-06-25
|
[
[
"Geng",
"Hao",
""
],
[
"Grieninger",
"Sebastian",
""
],
[
"Karch",
"Andreas",
""
]
] |
We calculate the entanglement entropy of the de-Sitter (dS) static patch in the context of the DS/dS correspondence. Interestingly, we find that there exists a one parameter family of bulk minimal surfaces that all have the same area. Two of them have appeared earlier in the literature. All of them correctly calculate the dS entropy. One surface yields the entanglement between the two different CFTs that provide the holographic dual of the bulk DS geometry. The second surface describes the entanglement across the horizon in the boundary static patch. The other surfaces describe a mixture of these two concepts. We also show that in the presence of extra matter fields the former entanglement entropy always exceeds the dS entropy. We interpret this result in the context of entropy bounds in de Sitter space and the swampland program.
| 8.548281
| 7.608408
| 9.566916
| 8.002653
| 8.057086
| 8.094151
| 8.226784
| 7.37842
| 7.969203
| 9.288467
| 7.723563
| 8.542909
| 8.520965
| 8.094907
| 7.857241
| 7.905828
| 8.106876
| 8.031833
| 8.502708
| 8.718502
| 7.887511
|
2108.12236
|
Lissa de Souza Campos
|
Lissa de Souza Campos and Jo\~ao Paulo M. Pitelli
|
Thermal effects on a global monopole with Robin boundary conditions
|
9 pages, 10 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within quantum field theory on a global monopole spacetime, we study thermal
effects on a naked singularity and its relation with boundary conditions. We
first obtain the two-points functions for the ground state and for thermal
states of a massive, arbitrarily-coupled, free scalar field compatible with
Robin boundary conditions at the singularity. We then probe these states using
a static Unruh-Dewitt particle detector. The transition rate is analyzed for
the particular cases of massless minimally or conformally coupled fields at
finite temperature. To interpret the detector's behavior, we compute the
thermal contribution to the ground-state fluctuations and to the energy
density. We verify that the behavior of the transition rate, the fluctuations
and the energy density are closely intertwined. In addition, we find that these
renormalized quantities remain finite at the singularity for, and only for,
Dirichlet boundary condition.
|
[
{
"created": "Fri, 27 Aug 2021 12:29:56 GMT",
"version": "v1"
}
] |
2021-08-30
|
[
[
"Campos",
"Lissa de Souza",
""
],
[
"Pitelli",
"João Paulo M.",
""
]
] |
Within quantum field theory on a global monopole spacetime, we study thermal effects on a naked singularity and its relation with boundary conditions. We first obtain the two-points functions for the ground state and for thermal states of a massive, arbitrarily-coupled, free scalar field compatible with Robin boundary conditions at the singularity. We then probe these states using a static Unruh-Dewitt particle detector. The transition rate is analyzed for the particular cases of massless minimally or conformally coupled fields at finite temperature. To interpret the detector's behavior, we compute the thermal contribution to the ground-state fluctuations and to the energy density. We verify that the behavior of the transition rate, the fluctuations and the energy density are closely intertwined. In addition, we find that these renormalized quantities remain finite at the singularity for, and only for, Dirichlet boundary condition.
| 10.29979
| 9.526237
| 8.740114
| 9.146716
| 9.14876
| 9.155069
| 9.084925
| 8.490596
| 9.455976
| 9.411813
| 9.261176
| 9.174545
| 9.217896
| 9.127435
| 9.171357
| 9.044158
| 9.448048
| 9.269752
| 9.381659
| 9.382923
| 9.521767
|
2001.03793
|
John H. Schwarz
|
John H. Schwarz
|
M5-Brane Amplitudes
|
16 pages, references added
| null |
10.1088/1751-8121/ab92bc
|
CALT-TH-2020-001
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dynamics of a probe M5-brane, embedded as a hypersurface in
eleven-dimensional Minkowski spacetime, is described by a six-dimensional
world-volume theory. This theory has a variety of interesting symmetries some
of which are obscure in the Lagrangian formulation of the theory. However, as
summarized in this review, an alternative approach is to construct all of its
on-shell tree-level scattering amplitudes. This enables understanding all of
the symmetries in a satisfying way. This work is dedicated to the memory of
Peter Freund.
|
[
{
"created": "Sat, 11 Jan 2020 20:14:38 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2020 23:16:23 GMT",
"version": "v2"
},
{
"created": "Fri, 1 May 2020 02:37:22 GMT",
"version": "v3"
}
] |
2020-08-26
|
[
[
"Schwarz",
"John H.",
""
]
] |
The dynamics of a probe M5-brane, embedded as a hypersurface in eleven-dimensional Minkowski spacetime, is described by a six-dimensional world-volume theory. This theory has a variety of interesting symmetries some of which are obscure in the Lagrangian formulation of the theory. However, as summarized in this review, an alternative approach is to construct all of its on-shell tree-level scattering amplitudes. This enables understanding all of the symmetries in a satisfying way. This work is dedicated to the memory of Peter Freund.
| 10.699958
| 8.801807
| 10.618399
| 8.313921
| 9.297223
| 8.596279
| 7.915734
| 8.196563
| 8.272764
| 10.167964
| 8.334935
| 8.408448
| 9.924378
| 9.106683
| 8.84961
| 8.721575
| 8.635272
| 8.747796
| 8.87336
| 9.373022
| 8.913273
|
hep-th/0702194
|
Tatsuma Nishioka
|
Tatsuma Nishioka and Tadashi Takayanagi
|
Free Yang-Mills vs. Toric Sasaki-Einstein
|
18 pages, 7 figures, latex, comments and a reference added (v2),
explanation improved and references added (v3), a reference added (v4)
|
Phys.Rev.D76:044004,2007
|
10.1103/PhysRevD.76.044004
|
KUNS-2063
|
hep-th
| null |
It has been known that the Bekenstein-Hawking entropy of the black hole in
AdS_5 * S^5 agrees with the free N=4 super Yang-Mills entropy up to the famous
factor 4/3. This factor can be interpreted as the ratio of the entropy of the
free Yang-Mills to the entropy of the strongly coupled Yang-Mills. In this
paper we compute this factor for infinitely many N=1 SCFTs which are dual to
toric Sasaki-Einstein manifolds. We observed that this ratio always takes
values within a narrow range around 4/3. We also present explicit values of
volumes and central charges for new classes of toric Sasaki-Einstein manifolds.
|
[
{
"created": "Sun, 25 Feb 2007 08:10:21 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2007 05:30:35 GMT",
"version": "v2"
},
{
"created": "Tue, 15 May 2007 08:51:24 GMT",
"version": "v3"
},
{
"created": "Thu, 16 Aug 2007 14:29:19 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Nishioka",
"Tatsuma",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
It has been known that the Bekenstein-Hawking entropy of the black hole in AdS_5 * S^5 agrees with the free N=4 super Yang-Mills entropy up to the famous factor 4/3. This factor can be interpreted as the ratio of the entropy of the free Yang-Mills to the entropy of the strongly coupled Yang-Mills. In this paper we compute this factor for infinitely many N=1 SCFTs which are dual to toric Sasaki-Einstein manifolds. We observed that this ratio always takes values within a narrow range around 4/3. We also present explicit values of volumes and central charges for new classes of toric Sasaki-Einstein manifolds.
| 5.792681
| 5.204028
| 6.340388
| 5.01357
| 5.476068
| 5.086138
| 5.021483
| 4.991015
| 5.251204
| 6.443417
| 5.268419
| 5.35987
| 5.927621
| 5.238046
| 5.245367
| 5.296445
| 5.501243
| 5.526251
| 5.229731
| 5.785916
| 5.037152
|
hep-th/9602180
| null |
K.-I. Izawa and T. Yanagida
|
Dynamical Supersymmetry Breaking in Vector-like Gauge Theories
|
3 pages, phyzzx, to appear in Prog. Theor. Phys
|
Prog.Theor.Phys. 95 (1996) 829-830
|
10.1143/PTP.95.829
| null |
hep-th
| null |
We provide vector-like gauge theories which break supersymmetry dynamically.
|
[
{
"created": "Fri, 1 Mar 1996 04:11:55 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Izawa",
"K. -I.",
""
],
[
"Yanagida",
"T.",
""
]
] |
We provide vector-like gauge theories which break supersymmetry dynamically.
| 36.367241
| 17.678631
| 23.44862
| 19.752695
| 18.959011
| 17.232382
| 22.541292
| 21.38129
| 18.280117
| 23.210251
| 21.124916
| 26.760178
| 29.427366
| 25.694424
| 28.532089
| 27.33427
| 25.924501
| 27.09247
| 25.951246
| 30.77446
| 24.015507
|
2405.09533
|
Andrzej Pokraka
|
Andrzej Pokraka, Smita Rajan, Lecheng Ren, Anastasia Volovich, W.
Wayne Zhao
|
Five-dimensional spinor helicity for all masses and spins
|
29 pages, 3 figures
| null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We develop a spinor helicity formalism for five-dimensional scattering
amplitudes of any mass and spin configuration. While five-dimensional spinor
helicity variables have been previously studied in the context of N=2,4
supersymmetric Yang-Mills scattering amplitudes with spin less than two
arXiv:2202.08257, we propose an alternative viewpoint that stems from
d-dimensional spinor helicity variables avoiding the use of the exceptional
low-dimensional isomorphism $SO(4,1) \cong USp(2,2)$ and the decomposition of a
massive momentum into the sum of two massless momenta. By enumerating all
possible independent little group tensors, we systematically build the full
space of five-dimensional three-point tree-level scattering amplitudes for any
configuration of spins and masses. Furthermore, we provide a prescription for
computing the high energy limit of scattering amplitudes written in our spinor
helicity variables. We also expect that our formalism will be applicable to
effective field theories with higher spin, in particular, the scattering of
highly spinning black holes in five dimensions.
|
[
{
"created": "Wed, 15 May 2024 17:44:41 GMT",
"version": "v1"
}
] |
2024-05-16
|
[
[
"Pokraka",
"Andrzej",
""
],
[
"Rajan",
"Smita",
""
],
[
"Ren",
"Lecheng",
""
],
[
"Volovich",
"Anastasia",
""
],
[
"Zhao",
"W. Wayne",
""
]
] |
We develop a spinor helicity formalism for five-dimensional scattering amplitudes of any mass and spin configuration. While five-dimensional spinor helicity variables have been previously studied in the context of N=2,4 supersymmetric Yang-Mills scattering amplitudes with spin less than two arXiv:2202.08257, we propose an alternative viewpoint that stems from d-dimensional spinor helicity variables avoiding the use of the exceptional low-dimensional isomorphism $SO(4,1) \cong USp(2,2)$ and the decomposition of a massive momentum into the sum of two massless momenta. By enumerating all possible independent little group tensors, we systematically build the full space of five-dimensional three-point tree-level scattering amplitudes for any configuration of spins and masses. Furthermore, we provide a prescription for computing the high energy limit of scattering amplitudes written in our spinor helicity variables. We also expect that our formalism will be applicable to effective field theories with higher spin, in particular, the scattering of highly spinning black holes in five dimensions.
| 9.155471
| 9.48532
| 9.600913
| 9.417907
| 9.619126
| 9.192677
| 8.823073
| 8.879652
| 8.51273
| 9.381867
| 8.729815
| 8.730219
| 8.94128
| 8.673341
| 8.680054
| 8.469822
| 8.666759
| 8.820229
| 8.550468
| 8.737768
| 8.6715
|
1601.02449
|
Lilia Anguelova
|
Lilia Anguelova
|
Glueball Inflation and Gauge/Gravity Duality
|
9 pages, contribution to the proceedings of the 11th international
workshop "Lie Theory and its Applications in Physics", Varna, 2015
|
Springer Proc. Math. Stat. 191 (2016) 285-293
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We summarize our work on building glueball inflation models with the methods
of the gauge/gravity duality. We review the relevant five-dimensional
consistent truncation of type IIB supergravity. We consider solutions of this
effective theory, whose metric has the form of a $dS_4$ foliation over a radial
direction. By turning on small (in an appropriate sense) time-dependent
deformations around these solutions, one can build models of glueball
inflation. We discuss a particular deformed solution, describing an ultra-slow
roll inflationary regime.
|
[
{
"created": "Mon, 11 Jan 2016 14:02:56 GMT",
"version": "v1"
}
] |
2017-03-20
|
[
[
"Anguelova",
"Lilia",
""
]
] |
We summarize our work on building glueball inflation models with the methods of the gauge/gravity duality. We review the relevant five-dimensional consistent truncation of type IIB supergravity. We consider solutions of this effective theory, whose metric has the form of a $dS_4$ foliation over a radial direction. By turning on small (in an appropriate sense) time-dependent deformations around these solutions, one can build models of glueball inflation. We discuss a particular deformed solution, describing an ultra-slow roll inflationary regime.
| 12.018332
| 9.269381
| 12.01177
| 9.553537
| 9.459291
| 9.623836
| 8.69869
| 9.059321
| 9.811318
| 13.555207
| 9.454474
| 10.032633
| 10.577046
| 10.005919
| 10.007859
| 9.794199
| 9.865103
| 10.252518
| 9.790455
| 10.956781
| 10.036557
|
1911.02271
|
Fiorenzo Bastianelli
|
Fiorenzo Bastianelli, Matteo Broccoli
|
Axial gravity and anomalies of fermions
|
13 pages
| null |
10.1140/epjc/s10052-020-7782-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a Dirac fermion in a metric-axial-tensor (MAT) background. By
regulating it with Pauli-Villars fields we analyze and compute its full anomaly
structure. Appropriate limits of the MAT background allows to recover the
anomalies of Dirac and Weyl fermions in the usual curved spacetime, obtaining
in particular the trace anomaly of a chiral fermion, which has been the object
of recent analyses.
|
[
{
"created": "Wed, 6 Nov 2019 09:41:19 GMT",
"version": "v1"
}
] |
2020-04-22
|
[
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Broccoli",
"Matteo",
""
]
] |
We consider a Dirac fermion in a metric-axial-tensor (MAT) background. By regulating it with Pauli-Villars fields we analyze and compute its full anomaly structure. Appropriate limits of the MAT background allows to recover the anomalies of Dirac and Weyl fermions in the usual curved spacetime, obtaining in particular the trace anomaly of a chiral fermion, which has been the object of recent analyses.
| 11.67541
| 9.624462
| 11.328491
| 9.244
| 8.903729
| 9.251899
| 9.34903
| 10.289651
| 10.115538
| 12.074517
| 9.812996
| 10.369411
| 10.606387
| 9.870995
| 10.059042
| 10.053329
| 10.281619
| 10.266364
| 10.227695
| 10.512124
| 9.902239
|
hep-th/0512228
|
Lebedev Sergei
|
S.L. Lebedev
|
The Radiation Reaction Effects in the BMT Model of Spinning Charge and
the Radiation Polarization Phenomenon
|
LaTeX, 6p. Contribution to the Proceedings of the International
Workshop "Supersymmetries and Quantum Symmetries" (SQS'05, Dubna, July 27-31,
2005)
| null | null | null |
hep-th
| null |
The effect of radiation polarization attended with the motion of spinning
charge in the magnetic field could be viewed through the classical theory of
self-interaction. The quantum expression for the polarization time follows from
the semiclassical relation $T_{QED}\sim \hbar c^{3}/\mu_{B}^2\omega_{c}^3$, and
needs quantum explanation neither for the orbit nor for the spin motion. In our
approach the polarization emerges as a result of natural selection in the
ensenmble of elastically scattered electrons among which the group of particles
that bear their spins in the 'right' directions has the smaller probability of
radiation. The evidence of non-complete polarization degree is also obtained.
|
[
{
"created": "Mon, 19 Dec 2005 09:34:12 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lebedev",
"S. L.",
""
]
] |
The effect of radiation polarization attended with the motion of spinning charge in the magnetic field could be viewed through the classical theory of self-interaction. The quantum expression for the polarization time follows from the semiclassical relation $T_{QED}\sim \hbar c^{3}/\mu_{B}^2\omega_{c}^3$, and needs quantum explanation neither for the orbit nor for the spin motion. In our approach the polarization emerges as a result of natural selection in the ensenmble of elastically scattered electrons among which the group of particles that bear their spins in the 'right' directions has the smaller probability of radiation. The evidence of non-complete polarization degree is also obtained.
| 26.53653
| 30.396685
| 28.872828
| 26.713871
| 31.508589
| 30.336109
| 32.258595
| 31.412653
| 28.739269
| 29.192766
| 27.990553
| 28.170965
| 26.270889
| 26.196917
| 27.35746
| 27.656385
| 27.008255
| 27.13625
| 25.57572
| 27.950747
| 26.770535
|
0912.1095
|
Jerzy Kowalski-Glikman
|
R. Durka, J. Kowalski-Glikman, and M. Szczachor
|
Supergravity as a constrained BF theory
|
7 pages, no figures
|
Phys.Rev.D81:045022,2010
|
10.1103/PhysRevD.81.045022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we formulate ${\cal N}=1$ supergravity as a constrained $BF$
theory with $OSp(4|1)$ gauge superalgebra. We derive the modified supergravity
Lagrangian that, apart from the standard supergravity with negative
cosmological constant, contains terms proportional to the (inverse of) Immirzi
parameter. Although these terms do not change classical field equations, they
might be relevant in quantum theory. We briefly discuss the perturbation theory
around the supersymmetric topological vacuum.
|
[
{
"created": "Sun, 6 Dec 2009 11:33:47 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Durka",
"R.",
""
],
[
"Kowalski-Glikman",
"J.",
""
],
[
"Szczachor",
"M.",
""
]
] |
In this paper we formulate ${\cal N}=1$ supergravity as a constrained $BF$ theory with $OSp(4|1)$ gauge superalgebra. We derive the modified supergravity Lagrangian that, apart from the standard supergravity with negative cosmological constant, contains terms proportional to the (inverse of) Immirzi parameter. Although these terms do not change classical field equations, they might be relevant in quantum theory. We briefly discuss the perturbation theory around the supersymmetric topological vacuum.
| 9.096826
| 8.449773
| 8.889828
| 7.729303
| 8.484393
| 7.884259
| 8.938091
| 7.688321
| 8.127578
| 8.701787
| 8.300218
| 8.270995
| 8.141142
| 8.071715
| 8.369185
| 8.391715
| 8.036031
| 8.20733
| 8.366781
| 7.983515
| 7.887749
|
0805.2570
|
Irene Amado
|
Irene Amado, Carlos Hoyos-Badajoz, Karl Landsteiner and Sergio Montero
|
Hydrodynamics and beyond in the strongly coupled N=4 plasma
|
29 pages, 11 figures
|
JHEP 0807:133,2008
|
10.1088/1126-6708/2008/07/133
|
IFT-UAM/CSIC-08-28
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue our investigations on the relation between hydrodynamic and
higher quasinormal modes in the AdS black hole background started in
arXiv:0710.4458 [hep-th]. As is well known, the quasinormal modes can be
interpreted as the poles of the retarded Green functions of the dual N=4 gauge
theory at finite temperature. The response to a generic perturbation is
determined by the residues of the poles. We compute these residues numerically
for energy-momentum and R-charge correlators. We find that the diffusion modes
behave in a similar way: at small wavelengths the residues go over into a form
of a damped oscillation and therefore these modes decouple at short distances.
The sound mode behaves differently: its residue does not decay and at short
wavelengths this mode behaves as the higher quasinormal modes. Applications of
our findings include the definition of hydrodynamic length and time scales. We
also show that the quasinormal modes, including the hydrodynamic diffusion
modes, obey causality.
|
[
{
"created": "Fri, 16 May 2008 16:15:33 GMT",
"version": "v1"
}
] |
2010-01-15
|
[
[
"Amado",
"Irene",
""
],
[
"Hoyos-Badajoz",
"Carlos",
""
],
[
"Landsteiner",
"Karl",
""
],
[
"Montero",
"Sergio",
""
]
] |
We continue our investigations on the relation between hydrodynamic and higher quasinormal modes in the AdS black hole background started in arXiv:0710.4458 [hep-th]. As is well known, the quasinormal modes can be interpreted as the poles of the retarded Green functions of the dual N=4 gauge theory at finite temperature. The response to a generic perturbation is determined by the residues of the poles. We compute these residues numerically for energy-momentum and R-charge correlators. We find that the diffusion modes behave in a similar way: at small wavelengths the residues go over into a form of a damped oscillation and therefore these modes decouple at short distances. The sound mode behaves differently: its residue does not decay and at short wavelengths this mode behaves as the higher quasinormal modes. Applications of our findings include the definition of hydrodynamic length and time scales. We also show that the quasinormal modes, including the hydrodynamic diffusion modes, obey causality.
| 9.00836
| 8.242417
| 9.348574
| 8.188912
| 8.978951
| 8.935287
| 8.531749
| 8.859913
| 7.883693
| 10.13602
| 8.518919
| 8.141325
| 8.893428
| 8.108827
| 8.000906
| 8.007948
| 7.811063
| 7.865613
| 7.998747
| 8.653497
| 7.941119
|
2302.03712
|
Mariam Khaldieh
|
Ali H. Chamseddine, Mariam Khaldieh, Viatcheslav Mukhanov
|
Mimetic Inflation and Self-reproduction
|
19 pages, 1 figure
| null | null | null |
hep-th astro-ph.CO gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
It is shown how self-reproduction can be easily avoided in the inflationary
universe, even when inflation starts at Planck scales. This is achieved by a
simple coupling of the inflaton potential with a mimetic field. In this case,
the problem of fine-tuning of the initial conditions does not arise, while
eternal inflation and the multiverse with all their widely discussed problems
are avoided.
|
[
{
"created": "Tue, 7 Feb 2023 19:02:36 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2023 14:26:36 GMT",
"version": "v2"
}
] |
2023-02-22
|
[
[
"Chamseddine",
"Ali H.",
""
],
[
"Khaldieh",
"Mariam",
""
],
[
"Mukhanov",
"Viatcheslav",
""
]
] |
It is shown how self-reproduction can be easily avoided in the inflationary universe, even when inflation starts at Planck scales. This is achieved by a simple coupling of the inflaton potential with a mimetic field. In this case, the problem of fine-tuning of the initial conditions does not arise, while eternal inflation and the multiverse with all their widely discussed problems are avoided.
| 11.356652
| 11.310563
| 10.410957
| 9.615489
| 11.202514
| 10.553492
| 11.310798
| 10.414768
| 10.251053
| 10.057138
| 9.847484
| 10.5126
| 9.776258
| 9.718744
| 9.917551
| 10.320869
| 10.333801
| 9.897408
| 9.92327
| 9.453958
| 10.31452
|
1008.2302
|
Dmitri Kazakov
|
L. V. Bork, D. I. Kazakov, G. S. Vartanov, and A. V. Zhiboedov
|
Infrared Finite Observables in N=8 Supergravity
|
11 pages, LATEX
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the algorithm of constructing the IR finite observables suggested and
discussed in details in our previous publications, we consider construction of
such observables in N=8 SUGRA in NLO of PT. In general, contrary to the
amplitudes defined in the presence of some IR regulator, such observables do
not reveal any simple structure.
|
[
{
"created": "Fri, 13 Aug 2010 12:19:41 GMT",
"version": "v1"
}
] |
2010-08-16
|
[
[
"Bork",
"L. V.",
""
],
[
"Kazakov",
"D. I.",
""
],
[
"Vartanov",
"G. S.",
""
],
[
"Zhiboedov",
"A. V.",
""
]
] |
Using the algorithm of constructing the IR finite observables suggested and discussed in details in our previous publications, we consider construction of such observables in N=8 SUGRA in NLO of PT. In general, contrary to the amplitudes defined in the presence of some IR regulator, such observables do not reveal any simple structure.
| 20.441847
| 16.141222
| 20.53236
| 15.900969
| 13.97488
| 15.746806
| 15.457349
| 15.929648
| 14.752241
| 19.133877
| 16.143238
| 15.816184
| 16.654524
| 15.003918
| 15.027412
| 15.163066
| 15.782923
| 15.143783
| 15.507203
| 16.828156
| 16.041565
|
0806.1019
|
Timothy J. Hollowood
|
Timothy J. Hollowood and Graham M. Shore
|
The Causal Structure of QED in Curved Spacetime: Analyticity and the
Refractive Index
|
54 pages, 19 figures, corrected some signs in formulae and graphs
|
JHEP 0812:091,2008
|
10.1088/1126-6708/2008/12/091
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The effect of vacuum polarization on the propagation of photons in curved
spacetime is studied in scalar QED. A compact formula is given for the full
frequency dependence of the refractive index for any background in terms of the
Van Vleck-Morette matrix for its Penrose limit and it is shown how the
superluminal propagation found in the low-energy effective action is reconciled
with causality. The geometry of null geodesic congruences is found to imply a
novel analytic structure for the refractive index and Green functions of QED in
curved spacetime, which preserves their causal nature but violates familiar
axioms of S-matrix theory and dispersion relations. The general formalism is
illustrated in a number of examples, in some of which it is found that the
refractive index develops a negative imaginary part, implying an amplification
of photons as an electromagnetic wave propagates through curved spacetime.
|
[
{
"created": "Thu, 5 Jun 2008 17:34:57 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Oct 2008 11:39:06 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Nov 2011 15:23:12 GMT",
"version": "v3"
}
] |
2011-11-11
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Shore",
"Graham M.",
""
]
] |
The effect of vacuum polarization on the propagation of photons in curved spacetime is studied in scalar QED. A compact formula is given for the full frequency dependence of the refractive index for any background in terms of the Van Vleck-Morette matrix for its Penrose limit and it is shown how the superluminal propagation found in the low-energy effective action is reconciled with causality. The geometry of null geodesic congruences is found to imply a novel analytic structure for the refractive index and Green functions of QED in curved spacetime, which preserves their causal nature but violates familiar axioms of S-matrix theory and dispersion relations. The general formalism is illustrated in a number of examples, in some of which it is found that the refractive index develops a negative imaginary part, implying an amplification of photons as an electromagnetic wave propagates through curved spacetime.
| 8.641531
| 8.469804
| 8.729868
| 8.104527
| 8.120463
| 8.457182
| 8.27907
| 8.166462
| 8.610359
| 9.654718
| 8.364919
| 8.389731
| 8.255858
| 7.998547
| 8.491481
| 8.243205
| 8.221358
| 8.304353
| 8.251472
| 8.377736
| 8.471025
|
hep-th/0103175
|
Everton Murilo C. de Abreu
|
Everton M. C. Abreu and Alvaro de Souza Dutra (UNESP/Guaratingueta)
|
New remarks on the linear constraint self-dual boson and Wess-Zumino
terms
|
6 pages, Revtex. Final version to appear in Physical Review D
|
Phys.Rev. D64 (2001) 065003
|
10.1103/PhysRevD.64.065003
| null |
hep-th
| null |
In this work we prove in a precise way that the soldering formalism can be
applied to the Srivastava chiral boson (SCB), in contradiction with some
results appearing in the literature. We have promoted a canonical
transformation that shows directly that the SCB is composed of two
Floreanini-Jackiw's particles with the same chirality which spectrum is a
vacuum-like one. As another conflictive result we have proved that a
Wess-Zumino term used in the literature consists of the scalar field, once
again denying the assertion that the WZ term adds a new degree of freedom to
the SCB theory in order to modify the physics of the system.
|
[
{
"created": "Wed, 21 Mar 2001 11:20:36 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Apr 2001 20:38:02 GMT",
"version": "v2"
},
{
"created": "Tue, 22 May 2001 16:16:09 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Abreu",
"Everton M. C.",
"",
"UNESP/Guaratingueta"
],
[
"Dutra",
"Alvaro de Souza",
"",
"UNESP/Guaratingueta"
]
] |
In this work we prove in a precise way that the soldering formalism can be applied to the Srivastava chiral boson (SCB), in contradiction with some results appearing in the literature. We have promoted a canonical transformation that shows directly that the SCB is composed of two Floreanini-Jackiw's particles with the same chirality which spectrum is a vacuum-like one. As another conflictive result we have proved that a Wess-Zumino term used in the literature consists of the scalar field, once again denying the assertion that the WZ term adds a new degree of freedom to the SCB theory in order to modify the physics of the system.
| 17.366594
| 15.886847
| 17.309504
| 15.114898
| 15.150511
| 16.295485
| 15.433303
| 14.685731
| 15.418455
| 20.120598
| 15.052226
| 16.154682
| 17.022137
| 15.432156
| 16.061451
| 15.649817
| 15.692731
| 15.13904
| 15.82991
| 17.397526
| 16.397188
|
hep-th/0008166
|
Harvinder Kaur Jassal
|
H. K. Jassal and A. Mukherjee
|
String propagation near Kaluza-Klein black holes: an analytical and
numerical study
|
Latex2e file, 13 pages including three postscript figures
| null | null | null |
hep-th
| null |
This paper presents a detailed investigation of the motion of a string near a
Kaluza-Klein black hole, using the null string expansion. The zeroth-order
string equations of motion are set up separately for electrically and
magnetically charged black hole backgrounds. The case of a string falling
head-on into the black hole is considered in detail. The equations reduce to
quadratures for a magnetically charged hole, while they are amenable to
numerical solution for an electrically charged black hole. The Kaluza-Klein
radius seen by the string as it approaches the black hole decreases in the
magnetic case and increases in the electric case. For magnetic backgrounds,
analytical solutions can be obtained in terms of elliptical integrals. These
reduce to elementary functions in special cases, including that of the
well-known Pollard-Gross-Perry-Sorkin monopole. Here the string exhibits
decelerated descent into the black hole. The results in the authors' earlier
papers are substantiated here by presenting a detailed analysis. A preliminary
analysis of first-order perturbations is also presented, and it is shown that
the invariant string length receives a nonzero contribution in the first order.
|
[
{
"created": "Tue, 22 Aug 2000 09:33:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Jassal",
"H. K.",
""
],
[
"Mukherjee",
"A.",
""
]
] |
This paper presents a detailed investigation of the motion of a string near a Kaluza-Klein black hole, using the null string expansion. The zeroth-order string equations of motion are set up separately for electrically and magnetically charged black hole backgrounds. The case of a string falling head-on into the black hole is considered in detail. The equations reduce to quadratures for a magnetically charged hole, while they are amenable to numerical solution for an electrically charged black hole. The Kaluza-Klein radius seen by the string as it approaches the black hole decreases in the magnetic case and increases in the electric case. For magnetic backgrounds, analytical solutions can be obtained in terms of elliptical integrals. These reduce to elementary functions in special cases, including that of the well-known Pollard-Gross-Perry-Sorkin monopole. Here the string exhibits decelerated descent into the black hole. The results in the authors' earlier papers are substantiated here by presenting a detailed analysis. A preliminary analysis of first-order perturbations is also presented, and it is shown that the invariant string length receives a nonzero contribution in the first order.
| 8.892653
| 7.956071
| 8.972033
| 7.955462
| 8.382212
| 8.60701
| 8.672484
| 7.694435
| 8.229985
| 9.70418
| 7.992998
| 8.395934
| 8.534904
| 8.088311
| 8.045559
| 7.95098
| 8.224376
| 8.252935
| 8.24837
| 8.381104
| 8.377934
|
1410.1860
|
Michael C. Ogilvie
|
Michael C. Ogilvie
|
Confinement on $R^{3}\times S^{1}$: continuum and lattice
|
18 pages, 7 figures. Review article for special issue of IJMPA on
Recent Nonperturbative Developments in QCD-like Theories, International
Journal of Modern Physics A, Vol. 29 (2014)
| null |
10.1142/S0217751X14450031
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There has been substantial progress in understanding confinement in a class
of four-dimensional SU(N) gauge theories using semiclassical methods. These
models have one or more compact directions, and much of the analysis is based
on the physics of finite-temperature gauge theories. The topology $R^{3}\times
S^{1}$ has been most often studied, using a small compactification
circumference $L$ such that the running coupling $g^{2}\left(L\right)$ is
small. The gauge action is modified by a double-trace Polyakov loop deformation
term, or by the addition of periodic adjoint fermions. The additional terms act
to preserve $Z(N)$ symmetry and thus confinement. An area law for Wilson loops
is induced by a monopole condensate. In the continuum, the string tension can
be computed analytically from topological effects. Lattice models display
similar behavior, but the theoretical analysis of topological effects is based
on Abelian lattice duality rather than on semiclassical arguments. In both
cases the key step is reducing the low-energy symmetry group from $SU(N)$ to
the maximal Abelian subgroup $U(1)^{N-1}$ while maintaining $Z(N)$ symmetry.
|
[
{
"created": "Tue, 7 Oct 2014 19:51:22 GMT",
"version": "v1"
}
] |
2014-10-08
|
[
[
"Ogilvie",
"Michael C.",
""
]
] |
There has been substantial progress in understanding confinement in a class of four-dimensional SU(N) gauge theories using semiclassical methods. These models have one or more compact directions, and much of the analysis is based on the physics of finite-temperature gauge theories. The topology $R^{3}\times S^{1}$ has been most often studied, using a small compactification circumference $L$ such that the running coupling $g^{2}\left(L\right)$ is small. The gauge action is modified by a double-trace Polyakov loop deformation term, or by the addition of periodic adjoint fermions. The additional terms act to preserve $Z(N)$ symmetry and thus confinement. An area law for Wilson loops is induced by a monopole condensate. In the continuum, the string tension can be computed analytically from topological effects. Lattice models display similar behavior, but the theoretical analysis of topological effects is based on Abelian lattice duality rather than on semiclassical arguments. In both cases the key step is reducing the low-energy symmetry group from $SU(N)$ to the maximal Abelian subgroup $U(1)^{N-1}$ while maintaining $Z(N)$ symmetry.
| 8.948214
| 8.962477
| 9.565389
| 8.934277
| 9.48307
| 8.968861
| 9.355349
| 8.812286
| 8.552631
| 9.685719
| 8.873421
| 8.897786
| 9.070869
| 8.62726
| 8.833046
| 8.759955
| 8.86159
| 8.633751
| 8.677111
| 9.303508
| 8.651531
|
hep-th/9202046
|
Dieter L\"ust
|
Luis E. Ibanez and Dieter Luest
|
Duality Anomaly Cancellation, Minimal String Unification and the
Effective Low-Energy Lagrangian of 4-D Strings
|
69 pages
|
Nucl.Phys.B382:305-364,1992
|
10.1016/0550-3213(92)90189-I
| null |
hep-th
| null |
We present a systematic study of the constraints coming from target-space
duality and the associated duality anomaly cancellations on orbifold-like 4-D
strings. A prominent role is played by the modular weights of the massless
fields. We present a general classification of all possible modular weights of
massless fields in Abelian orbifolds. We show that the cancellation of modular
anomalies strongly constrains the massless fermion content of the theory, in
close analogy with the standard ABJ anomalies. We emphasize the validity of
this approach not only for (2,2) orbifolds but for (0,2) models with and
without Wilson lines. As an application one can show that one cannot build a
${\bf Z}_3$ or ${\bf Z}_7$ orbifold whose massless charged sector with respect
to the (level one) gauge group $SU(3)\times SU(2) \times U(1)$ is that of the
minimal supersymmetric standard model, since any such model would necessarily
have duality anomalies. A general study of those constraints for Abelian
orbifolds is presented. Duality anomalies are also related to the computation
of string threshold corrections to gauge coupling constants. We present an
analysis of the possible relevance of those threshold corrections to the
computation of $\sin^2\theta_W$ and $\alpha_3$ for all Abelian orbifolds. Some
particular {\it minimal} scenarios, namely those based on all ${\bf Z}_N$
orbifolds except ${\bf Z}_6$
|
[
{
"created": "Fri, 14 Feb 1992 13:41:49 GMT",
"version": "v1"
}
] |
2009-10-07
|
[
[
"Ibanez",
"Luis E.",
""
],
[
"Luest",
"Dieter",
""
]
] |
We present a systematic study of the constraints coming from target-space duality and the associated duality anomaly cancellations on orbifold-like 4-D strings. A prominent role is played by the modular weights of the massless fields. We present a general classification of all possible modular weights of massless fields in Abelian orbifolds. We show that the cancellation of modular anomalies strongly constrains the massless fermion content of the theory, in close analogy with the standard ABJ anomalies. We emphasize the validity of this approach not only for (2,2) orbifolds but for (0,2) models with and without Wilson lines. As an application one can show that one cannot build a ${\bf Z}_3$ or ${\bf Z}_7$ orbifold whose massless charged sector with respect to the (level one) gauge group $SU(3)\times SU(2) \times U(1)$ is that of the minimal supersymmetric standard model, since any such model would necessarily have duality anomalies. A general study of those constraints for Abelian orbifolds is presented. Duality anomalies are also related to the computation of string threshold corrections to gauge coupling constants. We present an analysis of the possible relevance of those threshold corrections to the computation of $\sin^2\theta_W$ and $\alpha_3$ for all Abelian orbifolds. Some particular {\it minimal} scenarios, namely those based on all ${\bf Z}_N$ orbifolds except ${\bf Z}_6$
| 7.18091
| 7.269134
| 6.96572
| 6.625297
| 7.250426
| 7.228068
| 7.468853
| 6.97538
| 6.793689
| 7.201032
| 6.91449
| 7.196403
| 6.924214
| 7.089024
| 7.177484
| 7.247229
| 7.304708
| 6.959749
| 7.028134
| 7.00967
| 7.241321
|
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