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| perplexity_Llama-3.1-8B
float64 2.29
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496
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float64 2.9
431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
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| perplexity_s8-L-3.1-8B-base
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| perplexity_s9-L-3.1-8B-base
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1.68k
| perplexity_s10-L-3.1-8B-base
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float64 2.92
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| perplexity_s2-L-3.1-8B-qkv
float64 3.05
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float64 2.96
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570
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float64 2.93
558
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float64 2.96
669
| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
682
| perplexity_s8-L-3.1-8B-qkv
float64 2.92
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0005164
|
Jiro Hashiba
|
Jiro Hashiba, Kazuo Hosomichi, Seiji Terashima
|
String Junctions in B Field Background
|
19 pages, LaTeX, 4 figures
|
JHEP 0009 (2000) 008
|
10.1088/1126-6708/2000/09/008
|
YITP-00-26, UT-893
|
hep-th
| null |
It has been recently shown that F-theory on K3 with background B fields (NSNS
and RR 2-forms) is dual to the CHL string in 8 dimensions. In this paper, we
reexamine this duality in terms of string junctions in type IIB string theory.
It is in particular stressed that certain 7-brane configurations produce Sp
gauge groups in a novel way.
|
[
{
"created": "Thu, 18 May 2000 05:13:45 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Hashiba",
"Jiro",
""
],
[
"Hosomichi",
"Kazuo",
""
],
[
"Terashima",
"Seiji",
""
]
] |
It has been recently shown that F-theory on K3 with background B fields (NSNS and RR 2-forms) is dual to the CHL string in 8 dimensions. In this paper, we reexamine this duality in terms of string junctions in type IIB string theory. It is in particular stressed that certain 7-brane configurations produce Sp gauge groups in a novel way.
| 12.2516
| 9.664294
| 12.529226
| 9.773571
| 9.88615
| 9.360375
| 10.35932
| 9.115037
| 9.534808
| 14.570345
| 9.897799
| 10.259765
| 10.782544
| 9.988782
| 9.885345
| 10.24515
| 9.66398
| 10.03415
| 9.840028
| 10.749619
| 9.820511
|
1611.02321
|
Hong Lu
|
Hyat Huang, Xing-Hui Feng and H. Lu
|
Holographic Complexity and Two Identities of Action Growth
|
Latex, 10 pages, typos corrected, comments and references added
| null |
10.1016/j.physletb.2017.04.011
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The recently proposed complexity-action conjecture allows one to calculate
how fast one can produce a quantum state from a reference state in terms of the
on-shell action of the dual AdS black hole at the Wheeler-DeWitt patch. We show
that the action growth rate is given by the difference of the generalized
enthalpy between the two corresponding horizons. The proof relies on the second
identity that the surface-term contribution on a horizon is given by the
product of the associated temperature and entropy.
|
[
{
"created": "Mon, 7 Nov 2016 22:04:26 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Nov 2016 06:14:20 GMT",
"version": "v2"
}
] |
2017-04-12
|
[
[
"Huang",
"Hyat",
""
],
[
"Feng",
"Xing-Hui",
""
],
[
"Lu",
"H.",
""
]
] |
The recently proposed complexity-action conjecture allows one to calculate how fast one can produce a quantum state from a reference state in terms of the on-shell action of the dual AdS black hole at the Wheeler-DeWitt patch. We show that the action growth rate is given by the difference of the generalized enthalpy between the two corresponding horizons. The proof relies on the second identity that the surface-term contribution on a horizon is given by the product of the associated temperature and entropy.
| 14.619139
| 10.085739
| 12.630566
| 9.352058
| 10.465044
| 10.424319
| 9.833564
| 10.648166
| 9.60065
| 12.816873
| 9.543423
| 9.880266
| 11.280356
| 10.052377
| 10.377442
| 9.951682
| 10.02995
| 9.470921
| 9.823031
| 11.37596
| 10.379086
|
hep-th/9809046
|
Konstantin Selivanov
|
K.G.Selivanov (ITEP)
|
On tree form-factors in (supersymmetric) Yang-Mills theory
|
17 pages, Latex, the form of citation in the abstract have been
corrected by xxx.lanl.gov request
|
Commun.Math.Phys. 208 (2000) 671-687
|
10.1007/s002200050006
|
ITEP-TH-98-47
|
hep-th hep-ph
| null |
{\it Perturbiner}, that is, the solution of field equations which is a
generating function for tree form-factors in N=3 $(N=4)$ supersymmetric
Yang-Mills theory, is studied in the framework of twistor formulation of the
N=3 superfield equations. In the case, when all one-particle asymptotic states
belong to the same type of N=3 supermultiplets (without any restriction on
kinematics), the solution is described very explicitly. It happens to be a
natural supersymmetrization of the self-dual perturbiner in non-supersymmetric
Yang-Mills theory, designed to describe the Parke-Taylor amplitudes. In the
general case, we reduce the problem to a neatly formulated algebraic geometry
problem (see Eqs(\ref{5.15i}),(\ref{5.15ii}),(\ref{5.15iii})) and propose an
iterative algorithm for solving it, however we have not been able to find a
closed-form solution. Solution of this problem would, of course, produce a
description of all tree form-factors in non-supersymmetric Yang-Mills theory as
well. In this context, the N=3 superfield formalism may be considered as a
convenient way to describe a solution of the non-supersymmetric Yang-Mills
theory, very much in the spirit of works by E.Witten \cite{Witten} and by
J.Isenberg, P.B.Yasskin and P.S.Green \cite{2}.
|
[
{
"created": "Tue, 8 Sep 1998 08:31:57 GMT",
"version": "v1"
},
{
"created": "Fri, 21 May 1999 13:36:42 GMT",
"version": "v2"
},
{
"created": "Mon, 24 May 1999 08:21:21 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Selivanov",
"K. G.",
"",
"ITEP"
]
] |
{\it Perturbiner}, that is, the solution of field equations which is a generating function for tree form-factors in N=3 $(N=4)$ supersymmetric Yang-Mills theory, is studied in the framework of twistor formulation of the N=3 superfield equations. In the case, when all one-particle asymptotic states belong to the same type of N=3 supermultiplets (without any restriction on kinematics), the solution is described very explicitly. It happens to be a natural supersymmetrization of the self-dual perturbiner in non-supersymmetric Yang-Mills theory, designed to describe the Parke-Taylor amplitudes. In the general case, we reduce the problem to a neatly formulated algebraic geometry problem (see Eqs(\ref{5.15i}),(\ref{5.15ii}),(\ref{5.15iii})) and propose an iterative algorithm for solving it, however we have not been able to find a closed-form solution. Solution of this problem would, of course, produce a description of all tree form-factors in non-supersymmetric Yang-Mills theory as well. In this context, the N=3 superfield formalism may be considered as a convenient way to describe a solution of the non-supersymmetric Yang-Mills theory, very much in the spirit of works by E.Witten \cite{Witten} and by J.Isenberg, P.B.Yasskin and P.S.Green \cite{2}.
| 7.902429
| 7.616107
| 8.40841
| 7.297963
| 8.080927
| 7.971737
| 8.157669
| 7.47366
| 7.459937
| 8.919952
| 7.973905
| 7.554597
| 7.979151
| 7.414652
| 7.714931
| 7.703688
| 7.512316
| 7.430512
| 8.038723
| 7.929954
| 7.535058
|
1112.4664
|
Mohammad M. Sheikh-Jabbari
|
Jan de Boer, Maria Johnstone, M. M. Sheikh-Jabbari and Joan Simon
|
Emergent IR dual 2d CFTs in charged AdS5 black holes
|
37 page, 3 .eps figures
| null |
10.1103/PhysRevD.85.084039
|
IPM/P-2011/054
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the possible dynamical emergence of IR conformal invariance
describing the low energy excitations of near-extremal R-charged global AdS5
black holes. We find interesting behavior especially when we tune parameters in
such a way that the relevant extremal black holes have classically vanishing
horizon area, i.e. no classical ground-state entropy, and when we combine the
low energy limit with a large N limit of the dual gauge theory. We consider
both near-BPS and non-BPS regimes and their near horizon limits, emphasize the
differences between the local AdS3 throats emerging in either case, and discuss
potential dual IR 2d CFTs for each case. We compare our results with the
predictions obtained from the Kerr/CFT correspondence, and obtain a natural
quantization for the central charge of the near-BPS emergent IR CFT which we
interpret in terms of the open strings stretched between giant gravitons.
|
[
{
"created": "Tue, 20 Dec 2011 11:52:20 GMT",
"version": "v1"
}
] |
2013-05-30
|
[
[
"de Boer",
"Jan",
""
],
[
"Johnstone",
"Maria",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Simon",
"Joan",
""
]
] |
We study the possible dynamical emergence of IR conformal invariance describing the low energy excitations of near-extremal R-charged global AdS5 black holes. We find interesting behavior especially when we tune parameters in such a way that the relevant extremal black holes have classically vanishing horizon area, i.e. no classical ground-state entropy, and when we combine the low energy limit with a large N limit of the dual gauge theory. We consider both near-BPS and non-BPS regimes and their near horizon limits, emphasize the differences between the local AdS3 throats emerging in either case, and discuss potential dual IR 2d CFTs for each case. We compare our results with the predictions obtained from the Kerr/CFT correspondence, and obtain a natural quantization for the central charge of the near-BPS emergent IR CFT which we interpret in terms of the open strings stretched between giant gravitons.
| 10.678057
| 10.221613
| 11.882225
| 10.362988
| 10.837828
| 10.316739
| 10.724085
| 10.481885
| 10.649207
| 12.45408
| 10.574288
| 10.271582
| 11.300827
| 10.640882
| 10.706799
| 10.443056
| 10.408294
| 10.420821
| 10.538665
| 11.189605
| 10.302732
|
hep-th/9710011
|
Bernard Piette
|
B. Piette and W.J. Zakrzewski
|
Skyrmions and domain walls
|
latex, 5 pages. Proceedings of the Soliton conference (Kingston 1997)
| null | null |
DTP-97/45
|
hep-th
| null |
We study the 3+1 dimensional Skyrme model with a mass term different from the
usual one. We show that this new model possesses domain walls solutions. We
describe how, in the equivalent 2+1 dimensional model, the Skyrmion is absorbed
by the wall.
|
[
{
"created": "Thu, 2 Oct 1997 07:34:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Piette",
"B.",
""
],
[
"Zakrzewski",
"W. J.",
""
]
] |
We study the 3+1 dimensional Skyrme model with a mass term different from the usual one. We show that this new model possesses domain walls solutions. We describe how, in the equivalent 2+1 dimensional model, the Skyrmion is absorbed by the wall.
| 9.451674
| 7.88814
| 8.543473
| 7.358531
| 8.456246
| 8.211168
| 7.728745
| 7.992208
| 7.502036
| 8.97563
| 7.43646
| 8.379452
| 8.675593
| 8.126858
| 8.226452
| 8.171671
| 8.232368
| 8.49101
| 8.67417
| 8.506287
| 7.79398
|
hep-th/0602014
|
Hristu Culetu
|
Hristu Culetu
|
On a stationary spinning string spacetime
|
revised version of hep-th/0602014 v1, 7 pages, title changed, sec.5
removed, talk given at "Recent Developments in Gravity" (NEB XII), Nafplio,
Greece, 29 June 2006
|
Journal of Physics : Conf. Series 68 (2007) 012036
|
10.1088/1742-6596/68/1/012036
| null |
hep-th gr-qc
| null |
The properties of a stationary massless string endowed with intrinsic spin
are discussed. The spacetime is Minkowskian geometrically but the topology is
nontrivial due to the horizon located on the surface $r=0$, similar with
Rindler's case. For $r$ less than the Planck length $b$, $g_{\phi\phi}$ has the
same sign as $g_{tt}$ and closed timelike curves are possible.
We assume an elementary particles' spin originates in the frame dragging
effect produced by the rotation of the source. The Sagnac time delay is
calculated and proves to be constant.
|
[
{
"created": "Wed, 1 Feb 2006 17:39:57 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2006 13:09:32 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Jun 2007 17:55:27 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Culetu",
"Hristu",
""
]
] |
The properties of a stationary massless string endowed with intrinsic spin are discussed. The spacetime is Minkowskian geometrically but the topology is nontrivial due to the horizon located on the surface $r=0$, similar with Rindler's case. For $r$ less than the Planck length $b$, $g_{\phi\phi}$ has the same sign as $g_{tt}$ and closed timelike curves are possible. We assume an elementary particles' spin originates in the frame dragging effect produced by the rotation of the source. The Sagnac time delay is calculated and proves to be constant.
| 13.420663
| 14.479547
| 13.934672
| 12.034758
| 15.16796
| 12.576366
| 14.266433
| 11.462808
| 12.983276
| 12.689799
| 12.375464
| 13.049386
| 12.653893
| 12.308167
| 13.170335
| 13.256841
| 13.236082
| 13.186946
| 13.312623
| 12.595228
| 12.748495
|
1209.2864
|
Nadareishvili Teimuraz Pavel
|
Teimuraz Nadareishvili and Anzor Khelashvili
|
Pragmatic SAE procedure in the Schrodinger equation for the
inverse-square-like potentials
|
26 pages
| null | null | null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Self-Adjoint Extension in the Schrodinger equation for potentials behaved
as an attractive inverse square at the origin is critically reviewed. Original
results are also presented. It is shown that the additional non-regular
solutions must be retained for definite interval of parameters, which requires
a necessity of performing a Self-Adjoint Extension (SAE) procedure of radial
Hamiltonian.The Pragmatic approach is used and some of its consequences are
considered for wide class of transitive potentials. Our consideration is based
on the established earlier by us a boundary condition for the radial wave
function and the corresponding consequences are derived. Various relevant
applications are presented as well. They are: inverse square potential in the
Schrodinger equation is solved when the additional non-regular solution is
retained. Valence electron model and the Klein-Gordon equation with the Coulomb
potential is considered and the hydrino -like levels are discussed.
|
[
{
"created": "Thu, 13 Sep 2012 11:55:40 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Oct 2012 20:57:35 GMT",
"version": "v2"
}
] |
2012-10-16
|
[
[
"Nadareishvili",
"Teimuraz",
""
],
[
"Khelashvili",
"Anzor",
""
]
] |
The Self-Adjoint Extension in the Schrodinger equation for potentials behaved as an attractive inverse square at the origin is critically reviewed. Original results are also presented. It is shown that the additional non-regular solutions must be retained for definite interval of parameters, which requires a necessity of performing a Self-Adjoint Extension (SAE) procedure of radial Hamiltonian.The Pragmatic approach is used and some of its consequences are considered for wide class of transitive potentials. Our consideration is based on the established earlier by us a boundary condition for the radial wave function and the corresponding consequences are derived. Various relevant applications are presented as well. They are: inverse square potential in the Schrodinger equation is solved when the additional non-regular solution is retained. Valence electron model and the Klein-Gordon equation with the Coulomb potential is considered and the hydrino -like levels are discussed.
| 21.232254
| 24.993486
| 21.217535
| 21.019732
| 22.707386
| 21.116381
| 22.745373
| 20.302526
| 19.817448
| 25.127834
| 19.931963
| 20.018339
| 20.066263
| 19.188084
| 20.042433
| 21.045372
| 20.43955
| 19.360023
| 20.311583
| 20.681122
| 19.922283
|
hep-th/0512124
|
Takeshi Oota
|
Takeshi Oota and Yukinori Yasui
|
Toric Sasaki-Einstein manifolds and Heun equations
|
26 pages, no figures; references added; v3: revised version, to
appear in Nuclear Physics B
|
Nucl.Phys.B742:275-294,2006
|
10.1016/j.nuclphysb.2006.03.003
|
OCU-PHYS 238
|
hep-th
| null |
Symplectic potentials are presented for a wide class of five dimensional
toric Sasaki-Einstein manifolds, including L^{a,b,c} which was recently
constructed by Cvetic et al. The spectrum of the scalar Laplacian on L^{a,b,c}
is also studied. The eigenvalue problem leads to two Heun's differential
equations and the exponents at regular singularities are directly related to
toric data. By combining knowledge of the explicit symplectic potential and the
exponents, we show that the ground states, or equivalently holomorphic
functions, have one-to-one correspondence with integral lattice points in the
convex polyhedral cone. The scaling dimensions of the holomorphic functions are
simply given by scalar products of the Reeb vector and the integral vectors,
which are consistent with R-charges of BPS states in the dual quiver gauge
theories.
|
[
{
"created": "Mon, 12 Dec 2005 05:53:13 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Dec 2005 03:29:17 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Mar 2006 12:39:19 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Oota",
"Takeshi",
""
],
[
"Yasui",
"Yukinori",
""
]
] |
Symplectic potentials are presented for a wide class of five dimensional toric Sasaki-Einstein manifolds, including L^{a,b,c} which was recently constructed by Cvetic et al. The spectrum of the scalar Laplacian on L^{a,b,c} is also studied. The eigenvalue problem leads to two Heun's differential equations and the exponents at regular singularities are directly related to toric data. By combining knowledge of the explicit symplectic potential and the exponents, we show that the ground states, or equivalently holomorphic functions, have one-to-one correspondence with integral lattice points in the convex polyhedral cone. The scaling dimensions of the holomorphic functions are simply given by scalar products of the Reeb vector and the integral vectors, which are consistent with R-charges of BPS states in the dual quiver gauge theories.
| 7.942316
| 7.154594
| 9.314937
| 7.621858
| 7.544899
| 7.621242
| 7.790378
| 7.863123
| 7.588165
| 10.031019
| 7.267995
| 7.522091
| 8.866161
| 8.138066
| 7.850277
| 7.831698
| 7.747539
| 7.560534
| 7.893616
| 8.624817
| 7.547232
|
1003.0137
|
Juste Jean-Paul Ngome Abiaga
|
J.-P. Ngome, P. A. Horv\'athy, J. W. van Holten
|
Dynamical supersymmetry of spin particle-magnetic field interaction
|
23 pages
| null |
10.1088/1751-8113/43/28/285401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the super and dynamical symmetries of a fermion in a monopole
background. The Hamiltonian also involves an additional spin-orbit coupling
term, which is parameterized by the gyromagnetic ratio. We construct the
superinvariants associated with the system using a SUSY extension of a
previously proposed algorithm, based on Grassmann-valued Killing tensors.
Conserved quantities arise for certain definite values of the gyromagnetic
factor: $\N=1$ SUSY requires $g=2$; a Kepler-type dynamical symmetry only
arises, however, for the anomalous values $g=0$ and $g=4$. The two anomalous
systems can be unified into an $\N=2$ SUSY system built by doubling the number
of Grassmann variables. The planar system also exhibits an $\N=2$ supersymmetry
without Grassmann variable doubling.
|
[
{
"created": "Mon, 1 Mar 2010 18:12:44 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Mar 2010 12:04:45 GMT",
"version": "v2"
}
] |
2015-05-18
|
[
[
"Ngome",
"J. -P.",
""
],
[
"Horváthy",
"P. A.",
""
],
[
"van Holten",
"J. W.",
""
]
] |
We study the super and dynamical symmetries of a fermion in a monopole background. The Hamiltonian also involves an additional spin-orbit coupling term, which is parameterized by the gyromagnetic ratio. We construct the superinvariants associated with the system using a SUSY extension of a previously proposed algorithm, based on Grassmann-valued Killing tensors. Conserved quantities arise for certain definite values of the gyromagnetic factor: $\N=1$ SUSY requires $g=2$; a Kepler-type dynamical symmetry only arises, however, for the anomalous values $g=0$ and $g=4$. The two anomalous systems can be unified into an $\N=2$ SUSY system built by doubling the number of Grassmann variables. The planar system also exhibits an $\N=2$ supersymmetry without Grassmann variable doubling.
| 10.12484
| 9.74708
| 10.152639
| 9.722345
| 10.12431
| 9.728423
| 9.321683
| 9.940246
| 10.050105
| 12.481566
| 9.779737
| 9.566782
| 9.622605
| 9.461074
| 9.737573
| 9.537721
| 9.705997
| 9.711248
| 9.648905
| 9.942578
| 9.541221
|
hep-th/0203049
|
M. Hossein Dehghani
|
M. H. Dehghani
|
Rotating Topological Black Branes in Various Dimensions and AdS/CFT
Correspondence
|
12 pages, No figures, REVTeX4, Phys. Rev. D (to be published)
|
Phys.Rev. D65 (2002) 124002
|
10.1103/PhysRevD.65.124002
| null |
hep-th
| null |
We consider rotating topological black branes with one rotational parameter
in various dimensions. Also a general five-dimensional higher genus solution of
the Einstein equation with a negative cosmological constant which represents a
topological black brane with two rotational parameters is introduced. We find
out that the counterterms inspired by conformal field theory introduced by
Kraus, Larsen and Sieblink cannot remove the divergences in $r$ of the action
in more than five dimensions. We modify the counterterms by adding a curvature
invariant term to it. Using the modified counterterms we show that the $r$
divergences of the action, the mass, and the angular momentum densities of
these spacetimes are removed. We also find out in the limit of $m=0$ the mass
density of these spacetimes in odd dimensions is not zero.
|
[
{
"created": "Wed, 6 Mar 2002 13:12:57 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2002 14:48:39 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Apr 2002 18:58:08 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Dehghani",
"M. H.",
""
]
] |
We consider rotating topological black branes with one rotational parameter in various dimensions. Also a general five-dimensional higher genus solution of the Einstein equation with a negative cosmological constant which represents a topological black brane with two rotational parameters is introduced. We find out that the counterterms inspired by conformal field theory introduced by Kraus, Larsen and Sieblink cannot remove the divergences in $r$ of the action in more than five dimensions. We modify the counterterms by adding a curvature invariant term to it. Using the modified counterterms we show that the $r$ divergences of the action, the mass, and the angular momentum densities of these spacetimes are removed. We also find out in the limit of $m=0$ the mass density of these spacetimes in odd dimensions is not zero.
| 8.979251
| 8.435715
| 9.504157
| 7.727267
| 8.78098
| 8.636157
| 8.976588
| 7.995767
| 7.784756
| 9.15168
| 8.59486
| 8.181269
| 8.393733
| 7.891926
| 8.442421
| 8.311101
| 8.195502
| 8.264318
| 8.318726
| 8.458036
| 8.172326
|
hep-th/0610080
|
Sujay Ashok
|
Sujay K. Ashok, Freddy Cachazo and Eleonora Dell'Aquila
|
Strebel Differentials With Integral Lengths And Argyres-Douglas
Singularities
|
41 pages, 7 figures
| null | null | null |
hep-th
| null |
Strebel differentials are a special class of quadratic differentials with
several applications in string theory. In this note we show that finding
Strebel differentials with integral lengths is equivalent to finding
generalized Argyres-Douglas singularities in the Coulomb moduli space of a U(N)
$\N=2$ gauge theory with massive flavours. Using this relation, we find an
efficient technique to solve the problem of factorizing the Seiberg-Witten
curve at the Argyres-Douglas singularity. We also comment upon a relation
between more general Seiberg-Witten curves and Belyi maps.
|
[
{
"created": "Mon, 9 Oct 2006 19:05:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ashok",
"Sujay K.",
""
],
[
"Cachazo",
"Freddy",
""
],
[
"Dell'Aquila",
"Eleonora",
""
]
] |
Strebel differentials are a special class of quadratic differentials with several applications in string theory. In this note we show that finding Strebel differentials with integral lengths is equivalent to finding generalized Argyres-Douglas singularities in the Coulomb moduli space of a U(N) $\N=2$ gauge theory with massive flavours. Using this relation, we find an efficient technique to solve the problem of factorizing the Seiberg-Witten curve at the Argyres-Douglas singularity. We also comment upon a relation between more general Seiberg-Witten curves and Belyi maps.
| 9.246469
| 8.625648
| 8.782673
| 7.094361
| 7.164006
| 7.559649
| 7.404886
| 7.070006
| 7.339116
| 11.249084
| 7.026418
| 7.003927
| 6.895991
| 7.211751
| 7.067931
| 7.204139
| 7.351634
| 6.860203
| 7.288261
| 7.602283
| 7.338691
|
1008.0649
|
Ido Adam
|
Ido Adam, Amit Dekel, Yaron Oz
|
On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
|
LaTeX2e, 9 pages, no figures, JHEP style; v2: minor clarifications;
v3: typos fixed, matches the published version
|
JHEP 1010:110,2010
|
10.1007/JHEP10(2010)110
|
AEI-2010-128
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we consider a fermionic T-duality of the coset realization of
the type IIA sigma-model on AdS_4 \times CP^3 with respect to the three flat
directions in AdS_4, six of the fermionic coordinates and three of the CP^3
directions. We show that the Buscher procedure fails as it leads to a singular
transformation and discuss the result and its implications.
|
[
{
"created": "Tue, 3 Aug 2010 20:11:26 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Sep 2010 10:17:25 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Nov 2010 18:26:24 GMT",
"version": "v3"
}
] |
2010-11-11
|
[
[
"Adam",
"Ido",
""
],
[
"Dekel",
"Amit",
""
],
[
"Oz",
"Yaron",
""
]
] |
In this note we consider a fermionic T-duality of the coset realization of the type IIA sigma-model on AdS_4 \times CP^3 with respect to the three flat directions in AdS_4, six of the fermionic coordinates and three of the CP^3 directions. We show that the Buscher procedure fails as it leads to a singular transformation and discuss the result and its implications.
| 10.281417
| 9.439789
| 14.094214
| 8.569727
| 9.080643
| 10.047074
| 8.312356
| 8.909385
| 8.859609
| 11.566845
| 8.438649
| 8.357094
| 10.414742
| 8.601692
| 8.307623
| 9.139728
| 8.941172
| 7.99808
| 8.44317
| 10.381218
| 8.042605
|
1709.02345
|
Michael Gutperle
|
Michael Gutperle and Yi Li
|
Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy
|
22 pages, no figures
| null |
10.1142/S0217751X18500859
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we construct a map between a solution of supersymmetric
Chern-Simons higher spin gravity based on the superalgebra $sl(3|2)$ with
Lifshitz scaling and the $N=2$ super Boussinesq hierarchy. We show that under
this map the time evolution equations of both theories coincide. In addition,
we identify the Poisson structure of the Chern-Simons theory induced by gauge
transformation with the second Hamiltonian structure of the super Boussinesq
hierarchy.
|
[
{
"created": "Thu, 7 Sep 2017 16:43:22 GMT",
"version": "v1"
}
] |
2018-06-13
|
[
[
"Gutperle",
"Michael",
""
],
[
"Li",
"Yi",
""
]
] |
In this paper we construct a map between a solution of supersymmetric Chern-Simons higher spin gravity based on the superalgebra $sl(3|2)$ with Lifshitz scaling and the $N=2$ super Boussinesq hierarchy. We show that under this map the time evolution equations of both theories coincide. In addition, we identify the Poisson structure of the Chern-Simons theory induced by gauge transformation with the second Hamiltonian structure of the super Boussinesq hierarchy.
| 6.435037
| 5.581937
| 8.25814
| 5.753336
| 5.908797
| 5.594651
| 6.211716
| 5.974338
| 5.943636
| 7.70775
| 5.903114
| 5.798784
| 6.239966
| 5.867868
| 5.827011
| 5.823852
| 5.734798
| 5.91864
| 6.003954
| 6.669003
| 5.70921
|
hep-th/0601218
|
Pedro Castelo Ferreira
|
P. Castelo Ferreira
|
Electro-Magnetic Space-Time Duality for 2+1-Dimensional Stationary
Classical Solutions
|
11 pages; 1 figure; published version
|
Scripta-Ingenia 8 (2017) 3-8
| null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper it is studied a space-time duality web that maps electric into
magnetic (and magnetic into electric) charged classical stationary rotating
solutions for $2+1$-dimensional Abelian Einstein Maxwell Chern-Simons theories.
A first duality map originally suggested by Kogan for static charged solutions
is extended to stationary rotating space-times and are suggested two new
space-time dualities maps. The three dualities complete a close duality web. It
is also shown that in $3+1$-dimensions these dualities are only possible for
systems which exhibit non-projected cylindrical symmetry and are not related to
the standard electromagnetic duality of Maxwell equations which acts on the
physical fields and charges. Generalization to $N$-form theories in higher
dimensional space-times is briefly discussed.
|
[
{
"created": "Mon, 30 Jan 2006 11:23:31 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jan 2018 18:48:26 GMT",
"version": "v2"
}
] |
2018-01-23
|
[
[
"Ferreira",
"P. Castelo",
""
]
] |
In this paper it is studied a space-time duality web that maps electric into magnetic (and magnetic into electric) charged classical stationary rotating solutions for $2+1$-dimensional Abelian Einstein Maxwell Chern-Simons theories. A first duality map originally suggested by Kogan for static charged solutions is extended to stationary rotating space-times and are suggested two new space-time dualities maps. The three dualities complete a close duality web. It is also shown that in $3+1$-dimensions these dualities are only possible for systems which exhibit non-projected cylindrical symmetry and are not related to the standard electromagnetic duality of Maxwell equations which acts on the physical fields and charges. Generalization to $N$-form theories in higher dimensional space-times is briefly discussed.
| 14.789318
| 13.959937
| 14.769697
| 13.845126
| 15.10085
| 15.413519
| 14.691203
| 13.19272
| 13.636204
| 15.534672
| 13.658597
| 13.226668
| 13.941567
| 13.265772
| 13.108524
| 13.158631
| 13.166677
| 13.313753
| 13.396729
| 14.312412
| 13.31535
|
0811.4464
|
Gaston Giribet
|
Alan Garbarz, Gaston Giribet, Yerko V\'asquez
|
Asymptotically AdS_3 Solutions to Topologically Massive Gravity at
Special Values of the Coupling Constants
|
16 pages; v2: references added, changes in the discussion of causal
structure, comments on the relation with pp-wave solutions were included.
Version v4 includes some comments on NMG
|
Phys.Rev.D79:044036,2009
|
10.1103/PhysRevD.79.044036
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study exact solutions to Cosmological Topologically Massive Gravity (CTMG)
coupled to Topologically Massive Electrodynamics (TME) at special values of the
coupling constants. For the particular case of the so called chiral point
l\mu_G=1, vacuum solutions (with vanishing gauge field) are exhibited. These
correspond to a one-parameter deformation of GR solutions, and are continuously
connected to the extremal Ba\~nados-Teitelboim-Zanelli black hole (BTZ) with
bare constants J=-lM. At the chiral point this extremal BTZ turns out to be
massless, and thus it can be regarded as a kind of ground state. Although the
solution is not asymptotically AdS_3 in the sense of Brown-Henneaux boundary
conditions, it does obey the weakened asymptotic recently proposed by Grumiller
and Johansson. Consequently, we discuss the holographic computation of the
conserved charges in terms of the stress-tensor in the boundary. For the case
where the coupling constants satisfy the relation l\mu_G=1+2l\mu_E,
electrically charged analogues to these solutions exist. These solutions are
asymptotically AdS_3 in the strongest sense, and correspond to a logarithmic
branch of selfdual solutions previously discussed in the literature.
|
[
{
"created": "Thu, 27 Nov 2008 03:50:42 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Dec 2008 16:41:03 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Dec 2008 03:21:03 GMT",
"version": "v3"
},
{
"created": "Mon, 12 Oct 2009 20:56:23 GMT",
"version": "v4"
}
] |
2009-10-13
|
[
[
"Garbarz",
"Alan",
""
],
[
"Giribet",
"Gaston",
""
],
[
"Vásquez",
"Yerko",
""
]
] |
We study exact solutions to Cosmological Topologically Massive Gravity (CTMG) coupled to Topologically Massive Electrodynamics (TME) at special values of the coupling constants. For the particular case of the so called chiral point l\mu_G=1, vacuum solutions (with vanishing gauge field) are exhibited. These correspond to a one-parameter deformation of GR solutions, and are continuously connected to the extremal Ba\~nados-Teitelboim-Zanelli black hole (BTZ) with bare constants J=-lM. At the chiral point this extremal BTZ turns out to be massless, and thus it can be regarded as a kind of ground state. Although the solution is not asymptotically AdS_3 in the sense of Brown-Henneaux boundary conditions, it does obey the weakened asymptotic recently proposed by Grumiller and Johansson. Consequently, we discuss the holographic computation of the conserved charges in terms of the stress-tensor in the boundary. For the case where the coupling constants satisfy the relation l\mu_G=1+2l\mu_E, electrically charged analogues to these solutions exist. These solutions are asymptotically AdS_3 in the strongest sense, and correspond to a logarithmic branch of selfdual solutions previously discussed in the literature.
| 7.467391
| 8.143738
| 8.443361
| 7.647828
| 7.969229
| 7.754933
| 7.704039
| 7.297421
| 7.351801
| 8.379232
| 7.11048
| 7.283617
| 7.556016
| 7.352132
| 7.355619
| 7.401499
| 7.498627
| 7.409994
| 7.634225
| 7.868595
| 7.377051
|
0708.1873
|
Michele Cicoli
|
Michele Cicoli, Joseph P. Conlon and Fernando Quevedo
|
Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux
Compactifications
|
34 pages and 3 figures; typos corrected and references added
|
JHEP 0801:052,2008
|
10.1088/1126-6708/2008/01/052
|
DAMTP-2007-75
|
hep-th
| null |
We study the behaviour of the string loop corrections to the N=1 4D
supergravity Kaehler potential that occur in flux compactifications of IIB
string theory on general Calabi-Yau three-folds. We give a low energy
interpretation for the conjecture of Berg, Haack and Pajer for the form of the
loop corrections to the Kaehler potential. We check the consistency of this
interpretation in several examples. We show that for arbitrary Calabi-Yaus, the
leading contribution of these corrections to the scalar potential is always
vanishing, giving an "extended no-scale structure". This result holds as long
as the corrections are homogeneous functions of degree -2 in the 2-cycle
volumes. We use the Coleman-Weinberg potential to motivate this cancellation
from the viewpoint of low-energy field theory. Finally we give a simple formula
for the 1-loop correction to the scalar potential in terms of the tree-level
Kaehler metric and the correction to the Kaehler potential. We illustrate our
ideas with several examples. A companion paper will use these results in the
study of Kaehler moduli stabilisation.
|
[
{
"created": "Tue, 14 Aug 2007 12:40:54 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Sep 2007 17:29:54 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Jan 2008 18:15:41 GMT",
"version": "v3"
},
{
"created": "Sun, 11 May 2008 22:24:07 GMT",
"version": "v4"
}
] |
2009-06-11
|
[
[
"Cicoli",
"Michele",
""
],
[
"Conlon",
"Joseph P.",
""
],
[
"Quevedo",
"Fernando",
""
]
] |
We study the behaviour of the string loop corrections to the N=1 4D supergravity Kaehler potential that occur in flux compactifications of IIB string theory on general Calabi-Yau three-folds. We give a low energy interpretation for the conjecture of Berg, Haack and Pajer for the form of the loop corrections to the Kaehler potential. We check the consistency of this interpretation in several examples. We show that for arbitrary Calabi-Yaus, the leading contribution of these corrections to the scalar potential is always vanishing, giving an "extended no-scale structure". This result holds as long as the corrections are homogeneous functions of degree -2 in the 2-cycle volumes. We use the Coleman-Weinberg potential to motivate this cancellation from the viewpoint of low-energy field theory. Finally we give a simple formula for the 1-loop correction to the scalar potential in terms of the tree-level Kaehler metric and the correction to the Kaehler potential. We illustrate our ideas with several examples. A companion paper will use these results in the study of Kaehler moduli stabilisation.
| 7.125864
| 7.333539
| 8.289362
| 6.965205
| 7.396459
| 6.805941
| 7.625673
| 6.907162
| 6.637844
| 8.900258
| 6.5982
| 6.776797
| 6.99411
| 6.731929
| 6.669543
| 6.860717
| 6.851104
| 6.776403
| 6.72245
| 6.893698
| 6.92524
|
hep-th/0610021
|
Leopoldo A. Pando Zayas
|
Xiaolong Liu, Leopoldo A. Pando Zayas, V. G. J. Rodgers and Leo
Rodriguez
|
A Geometric Action for the Courant Bracket
|
31 pages, 2 figures Corrected various mistakes, added content on
Kahler geometry and gneralizations of complex structures for orbits of the
Courant bracket
| null | null |
MCTP-06-25
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An important operation in generalized complex geometry is the Courant bracket
which extends the Lie bracket that acts only on vectors to a pair given by a
vector and a p-form. We explore the possibility of promoting the elements of
the Courant bracket to physical fields by constructing a geometric action based
on the Kirillov-Kostant symplectic form. For the $p=0$ forms, the action
generalizes Polyakov's two-dimensional quantum gravity when viewed as the
geometric action for the Virasoro algebra. We show that the geometric action
arising from the centrally extended Courant bracket for the vector and zero
form pair is similar to the geometric action obtained from the semi-direct
product of the Virasoro algebra with a U(1) affine Kac-Moody algebra. For
arbitrary $p$ restricted to a Dirac structure, we derived the geometric action
and exhibit generalizations for almost complex structures built on the
Kirillov-Kostant symplectic form. In the case of p+1 dimensional submanifolds,
we also discuss a generalization of a Kahler structure on the orbits.
|
[
{
"created": "Sun, 1 Oct 2006 21:51:19 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Aug 2009 18:59:45 GMT",
"version": "v2"
}
] |
2009-08-10
|
[
[
"Liu",
"Xiaolong",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Rodgers",
"V. G. J.",
""
],
[
"Rodriguez",
"Leo",
""
]
] |
An important operation in generalized complex geometry is the Courant bracket which extends the Lie bracket that acts only on vectors to a pair given by a vector and a p-form. We explore the possibility of promoting the elements of the Courant bracket to physical fields by constructing a geometric action based on the Kirillov-Kostant symplectic form. For the $p=0$ forms, the action generalizes Polyakov's two-dimensional quantum gravity when viewed as the geometric action for the Virasoro algebra. We show that the geometric action arising from the centrally extended Courant bracket for the vector and zero form pair is similar to the geometric action obtained from the semi-direct product of the Virasoro algebra with a U(1) affine Kac-Moody algebra. For arbitrary $p$ restricted to a Dirac structure, we derived the geometric action and exhibit generalizations for almost complex structures built on the Kirillov-Kostant symplectic form. In the case of p+1 dimensional submanifolds, we also discuss a generalization of a Kahler structure on the orbits.
| 10.152144
| 10.775528
| 12.488794
| 9.619009
| 11.105253
| 10.27503
| 10.477781
| 9.772628
| 10.011346
| 12.34268
| 10.059799
| 10.158933
| 9.550748
| 9.668694
| 9.919422
| 9.965048
| 9.409589
| 9.636755
| 9.489804
| 9.746299
| 9.895338
|
0811.2157
|
Luis Ibanez
|
A. Font and L.E. Ibanez
|
Yukawa Structure from U(1) Fluxes in F-theory Grand Unification
|
31 pages, 3 figures, Latex file
|
JHEP 0902:016,2009
|
10.1088/1126-6708/2009/02/016
|
IFT-UAM/CSIC-08-75
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In F-theory GUT constructions Yukawa couplings necessarily take place at the
intersection of three matter curves. For generic geometric configurations this
gives rise to problematic Yukawa couplings unable to reproduce the observed
hierarchies. We point out that if the U(1)_{B-L}/U(1)_Y flux breaking the
SO(10)/SU(5) GUT symmetry is allowed to go through pairs of matter curves with
the same GUT representation, the quark/lepton content is redistributed in such
a way that all quark and leptons are allowed to have hierarchical Yukawas. This
reshuffling of fermions is quite unique and is particularly elegant for the
case of three generations and SO(10). Specific local F-theory models with
SO(10) or SU(5) living on a del Pezzo surface with appropriate bundles and just
the massless content of the MSSM are described. We point out that the smallness
of the 3rd generation quark mixing predicted by this scheme (together with
gauge coupling unification) could constitute a first hint of an underlying
F-theory grand unification.
|
[
{
"created": "Thu, 13 Nov 2008 16:08:39 GMT",
"version": "v1"
}
] |
2009-02-09
|
[
[
"Font",
"A.",
""
],
[
"Ibanez",
"L. E.",
""
]
] |
In F-theory GUT constructions Yukawa couplings necessarily take place at the intersection of three matter curves. For generic geometric configurations this gives rise to problematic Yukawa couplings unable to reproduce the observed hierarchies. We point out that if the U(1)_{B-L}/U(1)_Y flux breaking the SO(10)/SU(5) GUT symmetry is allowed to go through pairs of matter curves with the same GUT representation, the quark/lepton content is redistributed in such a way that all quark and leptons are allowed to have hierarchical Yukawas. This reshuffling of fermions is quite unique and is particularly elegant for the case of three generations and SO(10). Specific local F-theory models with SO(10) or SU(5) living on a del Pezzo surface with appropriate bundles and just the massless content of the MSSM are described. We point out that the smallness of the 3rd generation quark mixing predicted by this scheme (together with gauge coupling unification) could constitute a first hint of an underlying F-theory grand unification.
| 10.451809
| 10.810259
| 10.36748
| 9.369714
| 10.308841
| 10.544224
| 9.710054
| 9.739277
| 9.691228
| 11.794958
| 9.588792
| 9.836724
| 9.990675
| 9.310082
| 9.965287
| 9.783759
| 10.194121
| 9.567498
| 9.731309
| 9.9558
| 9.65522
|
hep-th/0403100
|
Alexei Nurmagambetov
|
Alexei J. Nurmagambetov
|
On the sigma-model structure of type IIA supergravity action in doubled
field approach
|
9 pp, LATEX; published in JETP Lett
|
JETP Lett. 79 (2004) 191-195; Pisma Zh.Eksp.Teor.Fiz. 79 (2004)
243-248
|
10.1134/1.1753413
| null |
hep-th
| null |
In this letter we describe how to string together the doubled field approach
by Cremmer, Julia, Lu and Pope with Pasti-Sorokin-Tonin technique to construct
the sigma-model-like action for type IIA supergravity. The relation of the
results with that of obtained in the context of searching for
Superstring/M-theory hidden symmetry group is discussed.
|
[
{
"created": "Tue, 9 Mar 2004 14:02:41 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Nurmagambetov",
"Alexei J.",
""
]
] |
In this letter we describe how to string together the doubled field approach by Cremmer, Julia, Lu and Pope with Pasti-Sorokin-Tonin technique to construct the sigma-model-like action for type IIA supergravity. The relation of the results with that of obtained in the context of searching for Superstring/M-theory hidden symmetry group is discussed.
| 21.121145
| 18.957727
| 25.873528
| 15.645955
| 16.419252
| 21.631098
| 19.641401
| 15.674129
| 16.870171
| 28.486847
| 18.062237
| 17.53702
| 17.899448
| 17.588791
| 18.52125
| 19.533035
| 18.920141
| 17.995285
| 18.209644
| 16.996952
| 17.202671
|
1603.00067
|
Jacob Sonnenschein
|
Yitzhak Frishman and Jacob Sonnenschein
|
On bound-states of the Gross Neveu model with massive fundamental
fermions
|
10 pages, 2 figures Version to be published in JHEP
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the search for QFT's that admit boundstates, we reinvestigate the two
dimensional Gross-Neveu model, but with massive fermions. By computing the
self-energy for the auxiliary boundstate field and the effective potential, we
show that there are no bound states around the lowest minimum, but there is a
meta-stable bound state around the other minimum, a local one. The latter
decays by tunneling. We determine the dependence of its lifetime on the fermion
mass and coupling constant.
|
[
{
"created": "Mon, 29 Feb 2016 21:52:19 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2017 08:55:01 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Jan 2018 22:04:35 GMT",
"version": "v3"
}
] |
2018-01-16
|
[
[
"Frishman",
"Yitzhak",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] |
In the search for QFT's that admit boundstates, we reinvestigate the two dimensional Gross-Neveu model, but with massive fermions. By computing the self-energy for the auxiliary boundstate field and the effective potential, we show that there are no bound states around the lowest minimum, but there is a meta-stable bound state around the other minimum, a local one. The latter decays by tunneling. We determine the dependence of its lifetime on the fermion mass and coupling constant.
| 10.552279
| 9.259024
| 10.496402
| 9.551544
| 9.181748
| 10.170685
| 9.010881
| 9.446356
| 9.715918
| 11.011703
| 9.77153
| 9.27031
| 10.138103
| 10.320242
| 10.096425
| 9.671389
| 9.816193
| 9.79866
| 10.122978
| 10.461874
| 9.689474
|
hep-th/9803142
|
Savdeep Sethi
|
Andrei Mikhailov, Nikita Nekrasov and Savdeep Sethi
|
Geometric Realizations of BPS States in N=2 Theories
|
23 pages, harvmac; an acknowledgement added
|
Nucl.Phys. B531 (1998) 345-362
|
10.1016/S0550-3213(98)80001-1
| null |
hep-th
| null |
We study the BPS spectrum of the theory on a D3-brane probe in F theory. The
BPS states are realized by multi-string configurations in spacetime. Only
certain configurations obeying a selection rule give rise to BPS states in the
four-dimensional probe theory. Using these string configurations, we determine
the spectrum of N=2 SU(2) Yang-Mills. We also explore the relation between
multi-string configurations, M theory membranes and self-dual strings.
|
[
{
"created": "Wed, 18 Mar 1998 00:49:45 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Mar 1998 23:59:37 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Mikhailov",
"Andrei",
""
],
[
"Nekrasov",
"Nikita",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
We study the BPS spectrum of the theory on a D3-brane probe in F theory. The BPS states are realized by multi-string configurations in spacetime. Only certain configurations obeying a selection rule give rise to BPS states in the four-dimensional probe theory. Using these string configurations, we determine the spectrum of N=2 SU(2) Yang-Mills. We also explore the relation between multi-string configurations, M theory membranes and self-dual strings.
| 9.969807
| 8.364086
| 12.169999
| 8.329739
| 9.112777
| 8.866231
| 8.912091
| 7.879747
| 8.656309
| 12.6375
| 8.962895
| 9.247492
| 11.949484
| 9.303279
| 9.045843
| 9.066013
| 8.874893
| 9.193151
| 9.521318
| 11.853553
| 9.286619
|
2301.01322
|
Oct\'avio Junqueira
|
Nelson R. F. Braga, Luiz F. Ferreira and Octavio C. Junqueira
|
Configuration entropy of a rotating quark-gluon plasma from holography
|
Updated version accepted for publication. 17 pages, 5 figures
|
Phys.Lett.B 847 (2023) 138265
|
10.1016/j.physletb.2023.138265
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The configuration entropy (CE) provides a measure of the stability of
physical systems that are spatially localized. An increase in the CE is
associated with an increase in the instability of the system. In this work we
apply a recently developed holographic description of a rotating plasma, in
order to investigate the behaviour of the CE when the plasma has angular
momentum. Considering the holographic dual to the plasma, namely a rotating AdS
black hole, the CE is computed at different rotational speeds and temperatures.
The result obtained shows not only an increase with the rotational speed $ v$
but, in particular, a divergence of the CE as $v$ approaches the speed of
light: $\, v \to 1 $. We discuss the results obtained showing that they are
consistent with the change in the geometry of the black hole caused by the
rotation and the corresponding variation of the volume of the dual plasma. We
also connect the results found here with those obtained in a recent work, where
it was shown that the complete dissociation of heavy mesons in a plasma is
represented by a positive singularity in the CE.
|
[
{
"created": "Tue, 3 Jan 2023 19:23:55 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Nov 2023 06:30:48 GMT",
"version": "v2"
}
] |
2023-11-08
|
[
[
"Braga",
"Nelson R. F.",
""
],
[
"Ferreira",
"Luiz F.",
""
],
[
"Junqueira",
"Octavio C.",
""
]
] |
The configuration entropy (CE) provides a measure of the stability of physical systems that are spatially localized. An increase in the CE is associated with an increase in the instability of the system. In this work we apply a recently developed holographic description of a rotating plasma, in order to investigate the behaviour of the CE when the plasma has angular momentum. Considering the holographic dual to the plasma, namely a rotating AdS black hole, the CE is computed at different rotational speeds and temperatures. The result obtained shows not only an increase with the rotational speed $ v$ but, in particular, a divergence of the CE as $v$ approaches the speed of light: $\, v \to 1 $. We discuss the results obtained showing that they are consistent with the change in the geometry of the black hole caused by the rotation and the corresponding variation of the volume of the dual plasma. We also connect the results found here with those obtained in a recent work, where it was shown that the complete dissociation of heavy mesons in a plasma is represented by a positive singularity in the CE.
| 8.4363
| 7.838205
| 7.915242
| 7.606344
| 7.760924
| 8.237534
| 7.124684
| 7.799741
| 7.620206
| 8.224536
| 7.923206
| 7.51597
| 7.823905
| 7.668764
| 7.694226
| 7.731485
| 7.683712
| 7.703466
| 7.604638
| 7.567969
| 7.572254
|
hep-th/0412286
|
Andrei Bratchikov
|
A.V.Bratchikov
|
Realizations of observables in Hamiltonian systems with first class
constraints
|
7 pages, misprints corrected
|
Int.J.Geom.Meth.Mod.Phys.4:517-522,2007
|
10.1142/S0219887807002168
| null |
hep-th gr-qc math-ph math.MP
| null |
In a Hamiltonian system with first class constraints observables can be
defined as elements of a quotient Poisson bracket algebra. In the gauge fixing
method observables form a quotient Dirac bracket algebra. We show that these
two algebras are isomorphic. A new realization of the observable algebras
through the original Poisson bracket is found. Generators, brackets and
pointwise products of the algebras under consideration are calculated.
|
[
{
"created": "Thu, 23 Dec 2004 15:26:57 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Dec 2004 14:41:26 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Apr 2005 13:57:21 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Bratchikov",
"A. V.",
""
]
] |
In a Hamiltonian system with first class constraints observables can be defined as elements of a quotient Poisson bracket algebra. In the gauge fixing method observables form a quotient Dirac bracket algebra. We show that these two algebras are isomorphic. A new realization of the observable algebras through the original Poisson bracket is found. Generators, brackets and pointwise products of the algebras under consideration are calculated.
| 11.039811
| 9.192581
| 10.741632
| 9.1568
| 10.904865
| 11.240446
| 10.727557
| 9.175112
| 10.063033
| 10.974611
| 9.668961
| 9.32195
| 10.449865
| 9.610089
| 9.049216
| 8.916924
| 9.424417
| 9.714201
| 9.914947
| 9.701109
| 9.090488
|
hep-th/0209021
|
Wu Yue-liang
|
Yue-Liang Wu (KITPC, Itp, Cas)
|
Symmetry Principle Preserving and Infinity Free Regularization and
renormalization of quantum field theories and the mass gap
|
59 pages, Revtex, 4 figures, 1 table, Erratum added, published
version
|
Int.J.Mod.Phys. A18 (2003) 5363-5420
|
10.1142/S0217751X03015222
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Through defining irreducible loop integrals (ILIs), a set of consistency
conditions for the regularized (quadratically and logarithmically) divergent
ILIs are obtained to maintain the generalized Ward identities of gauge
invariance in non-Abelian gauge theories. Overlapping UV divergences are
explicitly shown to be factorizable in the ILIs and be harmless via suitable
subtractions. A new regularization and renormalization method is presented in
the initial space-time dimension of the theory. The procedure respects
unitarity and causality. Of interest, the method leads to an infinity free
renormalization and meanwhile maintains the symmetry principles of the original
theory except the intrinsic mass scale caused conformal scaling symmetry
breaking and the anomaly induced symmetry breaking. Quantum field theories
(QFTs) regularized through the new method are well defined and governed by a
physically meaningful characteristic energy scale (CES) $M_c$ and a physically
interesting sliding energy scale (SES) $\mu_s$ which can run from $\mu_s \sim
M_c$ to a dynamically generated mass gap $\mu_s=\mu_c$ or to $\mu_s =0$ in the
absence of mass gap and infrared (IR) problem. It is strongly indicated that
the conformal scaling symmetry and its breaking mechanism play an important
role for understanding the mass gap and quark confinement.
|
[
{
"created": "Tue, 3 Sep 2002 05:33:49 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Sep 2002 05:23:10 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jan 2003 04:09:24 GMT",
"version": "v3"
},
{
"created": "Mon, 3 Nov 2008 05:39:52 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Wu",
"Yue-Liang",
"",
"KITPC, Itp, Cas"
]
] |
Through defining irreducible loop integrals (ILIs), a set of consistency conditions for the regularized (quadratically and logarithmically) divergent ILIs are obtained to maintain the generalized Ward identities of gauge invariance in non-Abelian gauge theories. Overlapping UV divergences are explicitly shown to be factorizable in the ILIs and be harmless via suitable subtractions. A new regularization and renormalization method is presented in the initial space-time dimension of the theory. The procedure respects unitarity and causality. Of interest, the method leads to an infinity free renormalization and meanwhile maintains the symmetry principles of the original theory except the intrinsic mass scale caused conformal scaling symmetry breaking and the anomaly induced symmetry breaking. Quantum field theories (QFTs) regularized through the new method are well defined and governed by a physically meaningful characteristic energy scale (CES) $M_c$ and a physically interesting sliding energy scale (SES) $\mu_s$ which can run from $\mu_s \sim M_c$ to a dynamically generated mass gap $\mu_s=\mu_c$ or to $\mu_s =0$ in the absence of mass gap and infrared (IR) problem. It is strongly indicated that the conformal scaling symmetry and its breaking mechanism play an important role for understanding the mass gap and quark confinement.
| 12.401409
| 13.439027
| 12.339941
| 12.144241
| 13.796394
| 13.180142
| 13.567101
| 12.588543
| 11.893497
| 13.878251
| 12.576664
| 12.2988
| 12.381701
| 11.876766
| 12.328634
| 12.59576
| 12.60004
| 11.959074
| 12.135864
| 12.278019
| 12.041523
|
1008.2649
|
Rudra Prakash Malik
|
S. Krishna (Bhu), A. Shukla (Bhu), R. P. Malik (Bhu)
|
Topologically massive non-Abelian theory: superfield formalism
|
LaTeX2e file, 33 pages, journal version
|
Int. J. Mod. Phys. A 26: 4419, 2011
|
10.1142/S0217751X11054504
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the well-established techniques of geometrical superfield approach
to Becchi-Rouet-Stora-Tyutin (BRST) formalism in the context of four (3 +
1)-dimensional (4D) dynamical non-Abelian 2-form gauge theory by exploiting its
inherent "scalar" and "vector" gauge symmetry transformations and derive the
corresponding off-shell nilpotent and absolutely anticommuting BRST and
anti-BRST symmetry transformations. Our approach leads to the derivation of
three (anti-) BRST invariant Curci-Ferrari (CF)-type restrictions that are
found to be responsible for the absolute anticommutativity of the BRST and
anti-BRST symmetry transformations. We derive the coupled Lagrangian densities
that respect the (anti-) BRST symmetry transformations corresponding to the
"vector" gauge transformations. We also capture the (anti-) BRST invariance of
the CF-type restrictions and coupled Lagrangian densities within the framework
of our superfield approach. We obtain, furthermore, the off-shell nilpotent
(anti-) BRST symmetry transformations when the (anti-) BRST symmetry
transformations corresponding to the "scalar" and "vector" gauge symmetries are
merged together. These off-shell nilpotent "merged" (anti-) BRST symmetries
are, however, found to be not absolutely anticommuting in nature.
|
[
{
"created": "Mon, 16 Aug 2010 13:28:37 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 2010 15:30:07 GMT",
"version": "v2"
},
{
"created": "Mon, 16 May 2011 14:08:38 GMT",
"version": "v3"
},
{
"created": "Thu, 8 Sep 2011 05:26:25 GMT",
"version": "v4"
},
{
"created": "Thu, 13 Oct 2011 17:05:12 GMT",
"version": "v5"
}
] |
2015-05-19
|
[
[
"Krishna",
"S.",
"",
"Bhu"
],
[
"Shukla",
"A.",
"",
"Bhu"
],
[
"Malik",
"R. P.",
"",
"Bhu"
]
] |
We apply the well-established techniques of geometrical superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism in the context of four (3 + 1)-dimensional (4D) dynamical non-Abelian 2-form gauge theory by exploiting its inherent "scalar" and "vector" gauge symmetry transformations and derive the corresponding off-shell nilpotent and absolutely anticommuting BRST and anti-BRST symmetry transformations. Our approach leads to the derivation of three (anti-) BRST invariant Curci-Ferrari (CF)-type restrictions that are found to be responsible for the absolute anticommutativity of the BRST and anti-BRST symmetry transformations. We derive the coupled Lagrangian densities that respect the (anti-) BRST symmetry transformations corresponding to the "vector" gauge transformations. We also capture the (anti-) BRST invariance of the CF-type restrictions and coupled Lagrangian densities within the framework of our superfield approach. We obtain, furthermore, the off-shell nilpotent (anti-) BRST symmetry transformations when the (anti-) BRST symmetry transformations corresponding to the "scalar" and "vector" gauge symmetries are merged together. These off-shell nilpotent "merged" (anti-) BRST symmetries are, however, found to be not absolutely anticommuting in nature.
| 4.393072
| 3.199747
| 5.292585
| 3.350127
| 3.592921
| 3.627529
| 3.481613
| 3.369977
| 3.409401
| 5.442941
| 3.392874
| 3.706583
| 4.613227
| 3.852446
| 3.800181
| 3.695549
| 3.930745
| 3.778026
| 3.81463
| 4.60371
| 3.851451
|
1509.05109
|
Carl Bender
|
Carl M. Bender, Mariagiovanna Gianfreda, Nima Hassanpour, and Hugh F.
Jones
|
Time-independent Hamiltonian for any linear constant-coefficient
evolution equation
|
8 pages, no figures
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown how to construct a time-independent Hamiltonian having only one
degree of freedom from which an arbitrary linear constant-coefficient evolution
equation of any order can be derived.
|
[
{
"created": "Thu, 17 Sep 2015 02:51:03 GMT",
"version": "v1"
}
] |
2015-09-18
|
[
[
"Bender",
"Carl M.",
""
],
[
"Gianfreda",
"Mariagiovanna",
""
],
[
"Hassanpour",
"Nima",
""
],
[
"Jones",
"Hugh F.",
""
]
] |
It is shown how to construct a time-independent Hamiltonian having only one degree of freedom from which an arbitrary linear constant-coefficient evolution equation of any order can be derived.
| 13.256034
| 13.629499
| 15.307506
| 10.833374
| 12.436645
| 12.890251
| 15.556999
| 11.36839
| 14.276971
| 15.96078
| 13.039026
| 11.36749
| 14.560194
| 12.583246
| 12.066859
| 12.661856
| 11.418252
| 12.268919
| 12.744132
| 12.98002
| 11.607898
|
hep-th/9405073
|
Hugo Compean
|
Jerzy F. Plebanski and H. Garcia-Compean
|
A q-deformed Version of the Heavenly Equations
|
18 pages. LaTex, no figures, extended and corrected version
|
Int.J.Mod.Phys. A10 (1995) 3371-3379
|
10.1142/S0217751X95001637
|
CINVESTAV-FIS 05/94
|
hep-th
| null |
Using a $q$-deformed Moyal algebra associated with the group of area
preserving diffeomorphisms of th two-dimensional torus $T^2$, sdiff$_q (T^2)$,
a $q$-deformed version for the Heavenly equations is given. Finally, the
two-dimensional chiral version of Self-dual gravity in this $q$-deformed
context is briefly discussed.
|
[
{
"created": "Wed, 11 May 1994 01:29:03 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Nov 1995 21:37:58 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Plebanski",
"Jerzy F.",
""
],
[
"Garcia-Compean",
"H.",
""
]
] |
Using a $q$-deformed Moyal algebra associated with the group of area preserving diffeomorphisms of th two-dimensional torus $T^2$, sdiff$_q (T^2)$, a $q$-deformed version for the Heavenly equations is given. Finally, the two-dimensional chiral version of Self-dual gravity in this $q$-deformed context is briefly discussed.
| 11.457526
| 9.95787
| 10.838717
| 9.030439
| 8.990465
| 8.979706
| 9.903657
| 9.235037
| 9.103439
| 12.532934
| 9.275652
| 9.426245
| 10.386945
| 9.705787
| 9.765265
| 9.739981
| 9.401877
| 9.536824
| 9.362423
| 10.989947
| 9.675312
|
hep-th/0510065
|
Anton Zeitlin
|
Andrei S. Losev, Andrei Marshakov, Anton M. Zeitlin
|
On First Order Formalism in String Theory
|
LaTeX2e, 18 pages, Phys. Lett. B, in press, corrected typos
|
Phys.Lett.B633:375-381,2006
|
10.1016/j.physletb.2005.12.010
|
ITEP/TH-59/05, FIAN/TD-16/05
|
hep-th math-ph math.DG math.MP
| null |
We consider the first order formalism in string theory, providing a new
off-shell description of the nontrivial backgrounds around an "infinite
metric". The OPE of the vertex operators, corresponding to the background
fields in some "twistor representation", and conditions of conformal invariance
results in the quadratic equation for the background fields, which appears to
be equivalent to the Einstein equations with a Kalb-Ramond B-field and a
dilaton. Using a new representation for the Einstein equations with B-field and
dilaton we find a new class of solutions including the plane waves for metric
(graviton) and the B-field. We discuss the properties of these background
equations and main features of the BRST operator in this approach.
|
[
{
"created": "Sat, 8 Oct 2005 13:40:52 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jan 2006 18:25:34 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Losev",
"Andrei S.",
""
],
[
"Marshakov",
"Andrei",
""
],
[
"Zeitlin",
"Anton M.",
""
]
] |
We consider the first order formalism in string theory, providing a new off-shell description of the nontrivial backgrounds around an "infinite metric". The OPE of the vertex operators, corresponding to the background fields in some "twistor representation", and conditions of conformal invariance results in the quadratic equation for the background fields, which appears to be equivalent to the Einstein equations with a Kalb-Ramond B-field and a dilaton. Using a new representation for the Einstein equations with B-field and dilaton we find a new class of solutions including the plane waves for metric (graviton) and the B-field. We discuss the properties of these background equations and main features of the BRST operator in this approach.
| 13.231547
| 12.965823
| 13.363853
| 11.924874
| 12.743466
| 13.320192
| 13.275441
| 12.312654
| 12.858082
| 14.843719
| 12.30591
| 12.490864
| 12.86792
| 12.100575
| 12.447351
| 12.161983
| 12.033756
| 11.865675
| 12.12181
| 12.870678
| 12.34163
|
hep-th/9710237
| null |
A. Pasquinucci, M. Petrini
|
On the Evaluation of Compton Scattering Amplitudes in String Theory
|
41 pages, Latex
|
Int.J.Mod.Phys. A13 (1998) 4717-4758
|
10.1142/S0217751X98002237
| null |
hep-th
| null |
We consider the Compton amplitude for the scattering of a photon and a
(massless) ``electron/positron'' at one loop (i.e. genus one) in a
four-dimensional fermionic heterotic string model. Starting from the
bosonization of the world-sheet fermions needed to explicitly construct the
spin-fields representing the space-time fermions, we present all the steps of
the computation which leads to the explicit form of the amplitude as an
integral of modular forms over the moduli space.
|
[
{
"created": "Thu, 30 Oct 1997 16:59:03 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Pasquinucci",
"A.",
""
],
[
"Petrini",
"M.",
""
]
] |
We consider the Compton amplitude for the scattering of a photon and a (massless) ``electron/positron'' at one loop (i.e. genus one) in a four-dimensional fermionic heterotic string model. Starting from the bosonization of the world-sheet fermions needed to explicitly construct the spin-fields representing the space-time fermions, we present all the steps of the computation which leads to the explicit form of the amplitude as an integral of modular forms over the moduli space.
| 9.39918
| 8.226682
| 8.656343
| 7.94923
| 8.408202
| 8.422806
| 7.552789
| 8.09979
| 8.111758
| 9.781098
| 9.04307
| 8.65522
| 8.545084
| 8.442413
| 8.782974
| 8.456573
| 8.663363
| 8.686357
| 8.44222
| 8.687902
| 8.540644
|
1902.03026
|
Carlo Rovelli
|
Carlo Rovelli and V\'aclav Zatloukal
|
Natural discrete differential calculus in physics
|
4 pages, 1 figure. Version 2: minor revision and references added
| null |
10.1007/s10701-019-00271-1
| null |
hep-th gr-qc hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We sharpen a recent observation by Tim Maudlin: differential calculus is a
natural language for physics only if additional structure, like the definition
of a Hodge dual or a metric, is given; but the discrete version of this
calculus provides this additional structure for free.
|
[
{
"created": "Fri, 8 Feb 2019 11:37:30 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Feb 2019 17:06:54 GMT",
"version": "v2"
}
] |
2022-10-12
|
[
[
"Rovelli",
"Carlo",
""
],
[
"Zatloukal",
"Václav",
""
]
] |
We sharpen a recent observation by Tim Maudlin: differential calculus is a natural language for physics only if additional structure, like the definition of a Hodge dual or a metric, is given; but the discrete version of this calculus provides this additional structure for free.
| 31.755888
| 21.675655
| 30.444817
| 20.358273
| 20.534422
| 23.672104
| 20.41098
| 23.244923
| 20.89056
| 28.579123
| 23.734739
| 20.768141
| 23.883945
| 21.292891
| 21.940716
| 24.110586
| 21.758261
| 20.709179
| 20.499453
| 24.218161
| 21.627752
|
hep-th/0204054
|
Skenderis Kostas
|
Kostas Skenderis and Marika Taylor
|
Branes in AdS and pp-wave spacetimes
|
57 pages, 1 figure; corrections and additions
|
JHEP 0206 (2002) 025
|
10.1088/1126-6708/2002/06/025
|
SPIN-2002/09, ITF-2002/15, PUPT-1995
|
hep-th
| null |
We find half supersymmetric AdS-embeddings in AdS_5 x S^5 corresponding to
all quarter BPS orthogonal intersections of D3-branes with Dp-branes. A
particular case is the Karch-Randall embedding AdS_4 x S^2. We explicitly prove
that these embeddings are supersymmetric by showing that the kappa symmetry
projections are compatible with half of the target space Killing spinors and
argue that all these cases lead to AdS/dCFT dualities involving a CFT with a
defect. We also find an asymptotically AdS_4 x S^2 embedding that corresponds
to a holographic RG-flow on the defect. We then consider the pp-wave limit of
the supersymmetric AdS-embeddings and show how it leads to half supersymmetric
D-brane embeddings in the pp-wave background. We systematically analyze D-brane
embeddings in the pp-wave background along with their supersymmetry. We
construct all supersymmetric D-branes wrapped along the light-cone using
operators in the dual gauge theory: the open string states are constructed
using defect fields. We also find supersymmetric D1 (monopoles) and D3 (giant
gravitons) branes that wrap only one of the light-cone directions. These
correspond to non-perturbative states in the dual gauge theory.
|
[
{
"created": "Fri, 5 Apr 2002 20:54:16 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Apr 2002 00:00:27 GMT",
"version": "v2"
},
{
"created": "Sun, 5 May 2002 15:23:30 GMT",
"version": "v3"
},
{
"created": "Thu, 9 May 2002 00:26:39 GMT",
"version": "v4"
},
{
"created": "Wed, 3 Jul 2002 20:10:17 GMT",
"version": "v5"
}
] |
2009-11-07
|
[
[
"Skenderis",
"Kostas",
""
],
[
"Taylor",
"Marika",
""
]
] |
We find half supersymmetric AdS-embeddings in AdS_5 x S^5 corresponding to all quarter BPS orthogonal intersections of D3-branes with Dp-branes. A particular case is the Karch-Randall embedding AdS_4 x S^2. We explicitly prove that these embeddings are supersymmetric by showing that the kappa symmetry projections are compatible with half of the target space Killing spinors and argue that all these cases lead to AdS/dCFT dualities involving a CFT with a defect. We also find an asymptotically AdS_4 x S^2 embedding that corresponds to a holographic RG-flow on the defect. We then consider the pp-wave limit of the supersymmetric AdS-embeddings and show how it leads to half supersymmetric D-brane embeddings in the pp-wave background. We systematically analyze D-brane embeddings in the pp-wave background along with their supersymmetry. We construct all supersymmetric D-branes wrapped along the light-cone using operators in the dual gauge theory: the open string states are constructed using defect fields. We also find supersymmetric D1 (monopoles) and D3 (giant gravitons) branes that wrap only one of the light-cone directions. These correspond to non-perturbative states in the dual gauge theory.
| 7.53418
| 7.463177
| 8.78726
| 7.203283
| 7.210569
| 7.677592
| 7.205299
| 7.209569
| 7.343495
| 9.324622
| 7.104559
| 7.232848
| 7.858179
| 7.151788
| 7.137792
| 7.324449
| 7.209424
| 7.347759
| 7.357503
| 7.599029
| 7.38096
|
1610.07313
|
Brett McInnes
|
Brett McInnes
|
Isoperimetric Inequalities and Magnetic Fields at CERN
|
6 pages, intended for a general mathematical audience but perhaps of
interest to others
|
Asia-Pacific Mathematics Newsletter Vol 6 (2016) page 10
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the generalization of the classical isoperimetric inequality to
asymptotically hyperbolic Riemannian manifolds. It has been discovered that the
AdS/CFT correspondence in string theory requires that such an inequality hold
in order to be internally consistent. In a particular application, to the
systems formed in collisions of heavy ions in particle colliders, we show how
to formulate this inequality in terms of measurable physical quantities, the
magnetic field and the temperature. Experiments under way at CERN in Geneva can
thus be said to be testing an isoperimetric inequality.
|
[
{
"created": "Mon, 24 Oct 2016 07:33:10 GMT",
"version": "v1"
}
] |
2016-10-25
|
[
[
"McInnes",
"Brett",
""
]
] |
We discuss the generalization of the classical isoperimetric inequality to asymptotically hyperbolic Riemannian manifolds. It has been discovered that the AdS/CFT correspondence in string theory requires that such an inequality hold in order to be internally consistent. In a particular application, to the systems formed in collisions of heavy ions in particle colliders, we show how to formulate this inequality in terms of measurable physical quantities, the magnetic field and the temperature. Experiments under way at CERN in Geneva can thus be said to be testing an isoperimetric inequality.
| 8.551251
| 9.017598
| 8.831219
| 9.008751
| 9.569276
| 9.505361
| 9.862521
| 8.575863
| 9.308247
| 9.080697
| 8.817764
| 8.721028
| 8.958908
| 8.521149
| 9.023435
| 8.818089
| 8.668797
| 8.243866
| 8.790912
| 8.539154
| 8.476878
|
hep-th/9806078
|
Dmitrij Fursaev
|
V. Frolov and D. Fursaev
|
Black Hole Entropy in Induced Gravity: Reduction to 2D Quantum Field
Theory on the Horizon
|
19 pages, latex, no figures
|
Phys.Rev. D58 (1998) 124009
|
10.1103/PhysRevD.58.124009
|
Alberta-Thy 09-98
|
hep-th
| null |
It is argued that degrees of freedom responsible for the Bekenstein-Hawking
entropy of a black hole in induced gravity are described by two dimensional
quantum field theory defined on the bifurcation surface of the horizon. This
result is proved for a class of induced gravity models with scalar, spinor and
vector heavy constituents.
|
[
{
"created": "Wed, 10 Jun 1998 13:06:27 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Frolov",
"V.",
""
],
[
"Fursaev",
"D.",
""
]
] |
It is argued that degrees of freedom responsible for the Bekenstein-Hawking entropy of a black hole in induced gravity are described by two dimensional quantum field theory defined on the bifurcation surface of the horizon. This result is proved for a class of induced gravity models with scalar, spinor and vector heavy constituents.
| 11.341146
| 8.379377
| 8.164232
| 8.382429
| 8.126976
| 8.166928
| 8.132333
| 7.965637
| 8.028009
| 8.530839
| 8.281024
| 8.027651
| 8.258319
| 8.050275
| 8.144217
| 8.128627
| 8.004306
| 8.228827
| 8.421658
| 8.317982
| 8.255309
|
1201.1884
|
Fabian Spill
|
Fabian Spill
|
Yangians in Integrable Field Theories, Spin Chains and Gauge-String
Dualities
|
133 pages, accepted for publication in Reviews in Mathematical
Physics
| null |
10.1142/S0129055X12300014
| null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the following paper, which is based on the authors PhD thesis submitted to
Imperial College London, we explore the applicability of Yangian symmetry to
various integrable models, in particular, in relation with S-matrices. One of
the main themes in this work is that, after a careful study of the mathematics
of the symmetry algebras one finds that in an integrable model, one can
directly reconstruct S-matrices just from the algebra. It has been known for a
long time that S-matrices in integrable models are fixed by symmetry. However,
Lie algebra symmetry, the Yang-Baxter equation, crossing and unitarity, which
are what constrains the S-matrix in integrable models, are often taken to be
separate, independent properties of the S-matrix. Here, we construct scattering
matrices purely from the Yangian, showing that the Yangian is the right
algebraic object to unify all required symmetries of many integrable models. In
particular, we reconstruct the S-matrix of the principal chiral field, and, up
to a CDD factor, of other integrable field theories with su(n) symmetry.
Furthermore, we study the AdS/CFT correspondence, which is also believed to be
integrable in the planar limit. We reconstruct the S-matrices at weak and at
strong coupling from the Yangian or its classical limit. We give a pedagogical
introduction into the subject, presenting a unified perspective of Yangians and
their applications in physics. This paper should hence be accessible to
mathematicians who would like to explore the application of algebraic objects
to physics as well as to physicists interested in a deeper understanding of the
mathematical origin of physical quantities.
|
[
{
"created": "Mon, 9 Jan 2012 19:37:13 GMT",
"version": "v1"
}
] |
2015-03-20
|
[
[
"Spill",
"Fabian",
""
]
] |
In the following paper, which is based on the authors PhD thesis submitted to Imperial College London, we explore the applicability of Yangian symmetry to various integrable models, in particular, in relation with S-matrices. One of the main themes in this work is that, after a careful study of the mathematics of the symmetry algebras one finds that in an integrable model, one can directly reconstruct S-matrices just from the algebra. It has been known for a long time that S-matrices in integrable models are fixed by symmetry. However, Lie algebra symmetry, the Yang-Baxter equation, crossing and unitarity, which are what constrains the S-matrix in integrable models, are often taken to be separate, independent properties of the S-matrix. Here, we construct scattering matrices purely from the Yangian, showing that the Yangian is the right algebraic object to unify all required symmetries of many integrable models. In particular, we reconstruct the S-matrix of the principal chiral field, and, up to a CDD factor, of other integrable field theories with su(n) symmetry. Furthermore, we study the AdS/CFT correspondence, which is also believed to be integrable in the planar limit. We reconstruct the S-matrices at weak and at strong coupling from the Yangian or its classical limit. We give a pedagogical introduction into the subject, presenting a unified perspective of Yangians and their applications in physics. This paper should hence be accessible to mathematicians who would like to explore the application of algebraic objects to physics as well as to physicists interested in a deeper understanding of the mathematical origin of physical quantities.
| 7.351524
| 7.705924
| 7.966477
| 7.200754
| 7.36733
| 7.564663
| 7.538264
| 7.25679
| 7.178872
| 8.321999
| 7.154436
| 6.983291
| 7.622125
| 7.188524
| 7.09347
| 7.106536
| 7.101663
| 7.067392
| 7.025637
| 7.353253
| 7.118564
|
1305.0499
|
Paul de Medeiros
|
Paul de Medeiros and Stefan Hollands
|
Superconformal quantum field theory in curved spacetime
|
53 pages, v3: more typos corrected, reference added, corrected remark
at the end of section 2.3 and a note added in acknowledgments
| null |
10.1088/0264-9381/30/17/175015
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By conformally coupling vector and hyper multiplets in Minkowski space, we
obtain a class of field theories with extended rigid conformal supersymmetry on
any Lorentzian four-manifold admitting twistor spinors. We construct the
conformal symmetry superalgebras which describe classical symmetries of these
theories and derive an appropriate BRST operator in curved spacetime. In the
process, we elucidate the general framework of cohomological algebra which
underpins the construction. We then consider the corresponding perturbative
quantum field theories. In particular, we examine the conditions necessary for
conformal supersymmetries to be preserved at the quantum level, i.e. when the
BRST operator commutes with the perturbatively defined S-matrix, which ensures
superconformal invariance of amplitudes. To this end, we prescribe a
renormalization scheme for time-ordered products that enter the perturbative
S-matrix and show that such products obey certain Ward identities in curved
spacetime. These identities allow us to recast the problem in terms of the
cohomology of the BRST operator. Through a careful analysis of this cohomology,
and of the renormalization group in curved spacetime, we establish precise
criteria which ensure that all conformal supersymmetries are preserved at the
quantum level. As a by-product, we provide a rigorous proof that the
beta-function for such theories is one-loop exact. We also briefly discuss the
construction of chiral rings and the role of non-perturbative effects in curved
spacetime.
|
[
{
"created": "Thu, 2 May 2013 16:33:27 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2013 16:34:14 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Apr 2014 17:20:22 GMT",
"version": "v3"
}
] |
2015-06-15
|
[
[
"de Medeiros",
"Paul",
""
],
[
"Hollands",
"Stefan",
""
]
] |
By conformally coupling vector and hyper multiplets in Minkowski space, we obtain a class of field theories with extended rigid conformal supersymmetry on any Lorentzian four-manifold admitting twistor spinors. We construct the conformal symmetry superalgebras which describe classical symmetries of these theories and derive an appropriate BRST operator in curved spacetime. In the process, we elucidate the general framework of cohomological algebra which underpins the construction. We then consider the corresponding perturbative quantum field theories. In particular, we examine the conditions necessary for conformal supersymmetries to be preserved at the quantum level, i.e. when the BRST operator commutes with the perturbatively defined S-matrix, which ensures superconformal invariance of amplitudes. To this end, we prescribe a renormalization scheme for time-ordered products that enter the perturbative S-matrix and show that such products obey certain Ward identities in curved spacetime. These identities allow us to recast the problem in terms of the cohomology of the BRST operator. Through a careful analysis of this cohomology, and of the renormalization group in curved spacetime, we establish precise criteria which ensure that all conformal supersymmetries are preserved at the quantum level. As a by-product, we provide a rigorous proof that the beta-function for such theories is one-loop exact. We also briefly discuss the construction of chiral rings and the role of non-perturbative effects in curved spacetime.
| 6.918683
| 7.310256
| 7.615837
| 6.894067
| 7.151545
| 7.072823
| 7.282658
| 7.067926
| 6.922283
| 8.373542
| 6.641681
| 6.858117
| 6.96126
| 6.808536
| 6.960675
| 7.008286
| 6.969006
| 6.811061
| 6.835505
| 7.340365
| 6.789562
|
1406.7813
|
Jay Armas
|
Jay Armas, Troels Harmark
|
Constraints on the effective fluid theory of stationary branes
|
v2: 26pp, 3 figures, minor clarifications, presentation improved, to
be published in JHEP
|
JHEP 1410 (2014) 63
|
10.1007/JHEP10(2014)063
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop further the effective fluid theory of stationary branes. This
formalism applies to stationary blackfolds as well as to other equilibrium
brane systems at finite temperature. The effective theory is described by a
Lagrangian containing the information about the elastic dynamics of the brane
embedding as well as the hydrodynamics of the effective fluid living on the
brane. The Lagrangian is corrected order-by-order in a derivative expansion,
where we take into account the dipole moment of the brane which encompasses
finite-thickness corrections, including transverse spin. We describe how to
extract the thermodynamics from the Lagrangian and we obtain constraints on the
higher-derivative terms with one and two derivatives. These constraints follow
by comparing the brane thermodynamics with the conserved currents associated
with background Killing vector fields. In particular, we fix uniquely the one-
and two-derivative terms describing the coupling of the transverse spin to the
background space-time. Finally, we apply our formalism to two blackfold
examples, the black tori and charged black rings and compare the latter to a
numerically generated solution.
|
[
{
"created": "Mon, 30 Jun 2014 16:54:33 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Oct 2014 08:53:38 GMT",
"version": "v2"
}
] |
2014-12-23
|
[
[
"Armas",
"Jay",
""
],
[
"Harmark",
"Troels",
""
]
] |
We develop further the effective fluid theory of stationary branes. This formalism applies to stationary blackfolds as well as to other equilibrium brane systems at finite temperature. The effective theory is described by a Lagrangian containing the information about the elastic dynamics of the brane embedding as well as the hydrodynamics of the effective fluid living on the brane. The Lagrangian is corrected order-by-order in a derivative expansion, where we take into account the dipole moment of the brane which encompasses finite-thickness corrections, including transverse spin. We describe how to extract the thermodynamics from the Lagrangian and we obtain constraints on the higher-derivative terms with one and two derivatives. These constraints follow by comparing the brane thermodynamics with the conserved currents associated with background Killing vector fields. In particular, we fix uniquely the one- and two-derivative terms describing the coupling of the transverse spin to the background space-time. Finally, we apply our formalism to two blackfold examples, the black tori and charged black rings and compare the latter to a numerically generated solution.
| 9.945769
| 10.433437
| 10.30619
| 9.51306
| 10.080688
| 10.448192
| 10.435191
| 9.726352
| 10.380357
| 11.284889
| 9.641811
| 9.727015
| 10.08546
| 9.534983
| 9.476719
| 9.408776
| 9.337487
| 9.704023
| 9.624797
| 10.115531
| 9.395612
|
hep-th/0110120
|
Christoph Kopper
|
Christoph Kopper, Frederic Meunier
|
Large Momentum bounds from Flow Equations
|
14 pages
|
Annales Henri Poincare 3 (2002) 435-449
|
10.1007/s00023-002-8623-8
| null |
hep-th
| null |
We analyse the large momentum behaviour of 4-dimensional massive euclidean
Phi-4-theory using the flow equations of Wilson's renormalization group. The
flow equations give access to a simple inductive proof of perturbative
renormalizability. By sharpening the induction hypothesis we prove new and, as
it seems, close to optimal bounds on the large momentum behaviour of the
correlation functions. The bounds are related to what is generally called
Weinberg's theorem.
|
[
{
"created": "Sat, 13 Oct 2001 17:05:02 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Kopper",
"Christoph",
""
],
[
"Meunier",
"Frederic",
""
]
] |
We analyse the large momentum behaviour of 4-dimensional massive euclidean Phi-4-theory using the flow equations of Wilson's renormalization group. The flow equations give access to a simple inductive proof of perturbative renormalizability. By sharpening the induction hypothesis we prove new and, as it seems, close to optimal bounds on the large momentum behaviour of the correlation functions. The bounds are related to what is generally called Weinberg's theorem.
| 11.884078
| 11.367357
| 12.915379
| 10.752174
| 11.949464
| 10.456644
| 10.420527
| 11.378745
| 11.196492
| 15.415574
| 11.357285
| 11.353628
| 11.392101
| 10.983029
| 11.190629
| 11.028269
| 11.407184
| 11.646378
| 11.322182
| 11.218662
| 11.163342
|
1402.5600
|
Adel Rezaei-Aghdam
|
M. Aali-Javanangrouh, A. Rezaei-Aghdam
|
Algebraic Structures of N=(4,4) and N=(8,8) SUSY Sigma Models on Lie
groups and SUSY WZW Models
|
Two examples and five references are added. 9 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Algebraic structures of N = (4; 4) and N = (8; 8) supersymmetric (SUSY) two
dimensional sigma models on Lie groups (in general) and SUSY Wess-Zumino-Witten
(WZW) models (as special) are obtained. For SUSY WZW models, these algebraic
structures are reduced to Lie bialgebraic structures as for the N = (2; 2) SUSY
WZW case; with the difference that there is a one 2-cocycle for the N = (4; 4)
case and there are two 2-cocycles for the N = (8; 8) case. In general, we show
that N = (8; 8) SUSY structure on Lie algebra must be constructed from two N =
(4; 4) SUSY structures and in special there must be two 2-cocycles for Manin
triples (one 2-cocycle for each of the N = (4; 4) structures). Some examples
are investigated. In this way, a calculational method for classifying the N =
(4; 4) and N = (8; 8) structures on Lie algebras and Lie groups are obtained.
|
[
{
"created": "Sun, 23 Feb 2014 12:22:10 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Oct 2014 14:10:44 GMT",
"version": "v2"
}
] |
2014-10-08
|
[
[
"Aali-Javanangrouh",
"M.",
""
],
[
"Rezaei-Aghdam",
"A.",
""
]
] |
Algebraic structures of N = (4; 4) and N = (8; 8) supersymmetric (SUSY) two dimensional sigma models on Lie groups (in general) and SUSY Wess-Zumino-Witten (WZW) models (as special) are obtained. For SUSY WZW models, these algebraic structures are reduced to Lie bialgebraic structures as for the N = (2; 2) SUSY WZW case; with the difference that there is a one 2-cocycle for the N = (4; 4) case and there are two 2-cocycles for the N = (8; 8) case. In general, we show that N = (8; 8) SUSY structure on Lie algebra must be constructed from two N = (4; 4) SUSY structures and in special there must be two 2-cocycles for Manin triples (one 2-cocycle for each of the N = (4; 4) structures). Some examples are investigated. In this way, a calculational method for classifying the N = (4; 4) and N = (8; 8) structures on Lie algebras and Lie groups are obtained.
| 4.63654
| 4.680543
| 5.129289
| 4.563157
| 4.624821
| 4.478243
| 4.595503
| 4.602283
| 4.591477
| 5.054043
| 4.621532
| 4.512203
| 4.439491
| 4.497765
| 4.463547
| 4.514795
| 4.541334
| 4.41221
| 4.506916
| 4.446474
| 4.50363
|
2404.08100
|
Veronica Pasquarella
|
Veronica Pasquarella
|
Particle Physics: a crash course for Mathematicians
|
35 pages + references; v2 typos fixed
| null | null | null |
hep-th hep-ph math.AG math.QA math.RT
|
http://creativecommons.org/licenses/by/4.0/
|
This introductory work combines bottom-up and top-down approaches towards
understanding the underlying categorical structure of possible unifying
theories descending from string theory. Guided by well-established developments
in the realm of categorical algebraic geometry, we explain why abelianisation
could potentially lead to furthering the understanding of how to embed Beyond
the Standard Model scenarios in supersymmetric setups.
|
[
{
"created": "Thu, 11 Apr 2024 19:36:41 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Apr 2024 10:51:27 GMT",
"version": "v2"
}
] |
2024-04-18
|
[
[
"Pasquarella",
"Veronica",
""
]
] |
This introductory work combines bottom-up and top-down approaches towards understanding the underlying categorical structure of possible unifying theories descending from string theory. Guided by well-established developments in the realm of categorical algebraic geometry, we explain why abelianisation could potentially lead to furthering the understanding of how to embed Beyond the Standard Model scenarios in supersymmetric setups.
| 36.64481
| 27.781992
| 31.510038
| 28.255033
| 29.166927
| 27.717617
| 30.91399
| 30.928558
| 27.987688
| 38.018677
| 32.298004
| 27.152868
| 30.719135
| 28.361448
| 28.424139
| 27.937395
| 28.426296
| 27.144403
| 28.624817
| 31.266546
| 29.336418
|
hep-th/0011195
|
Ali Nayeri
|
Ali Nayeri
|
Brane Cosmology with Non-Static Bulk
|
3 pages, Talk given at DPF 2000: The meeting of the Division of
Particles and Fields of the American Physical Society, Ohio, 9 - 12
August2000
|
Int.J.Mod.Phys. A16S1C (2001) 1040-1042
|
10.1142/S0217751X01008837
| null |
hep-th
| null |
We study the brane world motion in non-static bulk by generalizing the second
Randall-Sundrum scenario Explicitly, we take the bulk to be a Vaidya-AdS
metric, which describes the gravitational collapse of a spherically symmetric
null dust fluid in Anti-de Sitter spacetime. We point out that during an
inflationary phase on the brane, black holes will tend to be thermally
nucleated in the bulk We analyze the thermodynamical properties of this
brane-world.We point out that during an inflationary phase on the brane, black
holes will tend to be thermally nucleated in the bulk. Thermal equilibrium of
the system is discussed. We calculate the late time behavior of this system,
including 1-loop effects. We argue that at late times a sufficiently large
black hole will relax to a point of thermal equilibrium with the brane-world
environment. This result has interesting implications for early-universe
cosmology.
|
[
{
"created": "Wed, 22 Nov 2000 04:27:37 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Nayeri",
"Ali",
""
]
] |
We study the brane world motion in non-static bulk by generalizing the second Randall-Sundrum scenario Explicitly, we take the bulk to be a Vaidya-AdS metric, which describes the gravitational collapse of a spherically symmetric null dust fluid in Anti-de Sitter spacetime. We point out that during an inflationary phase on the brane, black holes will tend to be thermally nucleated in the bulk We analyze the thermodynamical properties of this brane-world.We point out that during an inflationary phase on the brane, black holes will tend to be thermally nucleated in the bulk. Thermal equilibrium of the system is discussed. We calculate the late time behavior of this system, including 1-loop effects. We argue that at late times a sufficiently large black hole will relax to a point of thermal equilibrium with the brane-world environment. This result has interesting implications for early-universe cosmology.
| 8.217204
| 8.253349
| 8.057456
| 7.280155
| 7.321442
| 8.173281
| 7.947928
| 7.561582
| 7.655165
| 8.128565
| 7.760931
| 8.17447
| 7.959148
| 8.049793
| 8.278754
| 7.945976
| 7.806613
| 7.868562
| 8.14918
| 8.033537
| 8.127233
|
1610.02422
|
Moshe Rozali
|
Micha Berkooz, Prithvi Narayan, Moshe Rozali and Joan Sim\'on
|
Higher Dimensional Generalizations of the SYK Model
|
23 pages, 3 figures. Minor changes
| null |
10.1007/JHEP01(2017)138
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model.
The model contains $N$ Majorana fermions at each lattice site with a
nearest-neighbour hopping term. The SYK random interaction is restricted to low
momentum fermions of definite chirality within each lattice site. This gives
rise to an ordinary 1+1 field theory above some energy scale and a low energy
SYK-like behavior. We exhibit a class of low-pass filters which give rise to a
rich variety of hyperscaling behaviour in the IR. We also discuss another set
of generalizations which describes probing an SYK system with an external
fermion, together with the new scaling behavior they exhibit in the IR.
|
[
{
"created": "Fri, 7 Oct 2016 20:45:23 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Nov 2016 20:46:29 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Berkooz",
"Micha",
""
],
[
"Narayan",
"Prithvi",
""
],
[
"Rozali",
"Moshe",
""
],
[
"Simón",
"Joan",
""
]
] |
We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains $N$ Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum fermions of definite chirality within each lattice site. This gives rise to an ordinary 1+1 field theory above some energy scale and a low energy SYK-like behavior. We exhibit a class of low-pass filters which give rise to a rich variety of hyperscaling behaviour in the IR. We also discuss another set of generalizations which describes probing an SYK system with an external fermion, together with the new scaling behavior they exhibit in the IR.
| 10.196856
| 11.423777
| 11.576164
| 10.677549
| 11.717422
| 11.86456
| 11.616868
| 11.58329
| 11.35137
| 13.912089
| 10.530783
| 10.134069
| 10.266685
| 10.378226
| 9.91185
| 10.240823
| 10.195582
| 10.561096
| 10.184248
| 10.06808
| 10.120534
|
hep-th/9905145
|
Joao Barcelos Neto
|
R. Amorim and J. Barcelos-Neto
|
Extended supersymmetry in D=1+1
|
8 pages, Latex
| null | null | null |
hep-th
| null |
We extend superspace by introducing an antisymmetric tensorial coordinate.
The resulting theory presents a supersymmetry with central charge. After
integrating over the tensorial coordinate, an effective action describing
massive bosons and fermions is explicitely derived for the spacetime dimension
D=2. The adopted procedure is simpler than the Kaluza-Klein one and can suggest
an alternative for string compactifications.
|
[
{
"created": "Wed, 19 May 1999 20:03:38 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jul 1999 17:22:41 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Amorim",
"R.",
""
],
[
"Barcelos-Neto",
"J.",
""
]
] |
We extend superspace by introducing an antisymmetric tensorial coordinate. The resulting theory presents a supersymmetry with central charge. After integrating over the tensorial coordinate, an effective action describing massive bosons and fermions is explicitely derived for the spacetime dimension D=2. The adopted procedure is simpler than the Kaluza-Klein one and can suggest an alternative for string compactifications.
| 15.156331
| 13.070925
| 13.938414
| 12.017177
| 14.010963
| 13.600061
| 12.594955
| 11.558147
| 12.592118
| 14.302169
| 12.627139
| 13.128385
| 13.812558
| 13.273268
| 13.505404
| 13.533123
| 13.276571
| 13.104861
| 13.541751
| 14.294266
| 12.97783
|
hep-th/0410286
|
Georgi Dvali
|
Gia Dvali
|
Large Hierarchies from Attractor Vacua
|
33 pages, Latex
|
Phys.Rev. D74 (2006) 025018
|
10.1103/PhysRevD.74.025018
| null |
hep-th hep-ph
| null |
We discuss a mechanism through which the multi-vacua theories, such as String
Theory, could solve the Hierarchy Problem, without any UV-regulating physics at
low energies. Because of symmetry the number density of vacua with a certain
hierarchically-small Higgs mass diverges, and is an attractor on the vacuum
landscape.The hierarchy problem is solved in two steps. It is first promoted
into a problem of the super-selection rule among the infinite number of vacua
(analogous to theta-vacua in QCD), that are finely scanned by the Higgs mass.
This rule is lifted by heavy branes, which effectively convert the Higgs mass
into a dynamical variable. The key point is that a discrete
"brane-charge-conjugation" symmetry guarantees that the fineness of the
vacuum-scanning is set by the Higgs mass itself. On a resulting landscape in
all, but a measure-zero set of vacua the Higgs mass has a common
hierarchically-small value. In minimal models this value is controlled by the
QCD scale and is of the right magnitude. Although in each particular vacuum
there is no visible UV-regulating low energy physics, the realistic models are
predictive. For example, we show that in the minimal case the "charge
conjugation" symmetry is automatically a family symmetry, and imposes severe
restrictions on quark Yukawa matrices.
|
[
{
"created": "Fri, 29 Oct 2004 03:29:19 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Dvali",
"Gia",
""
]
] |
We discuss a mechanism through which the multi-vacua theories, such as String Theory, could solve the Hierarchy Problem, without any UV-regulating physics at low energies. Because of symmetry the number density of vacua with a certain hierarchically-small Higgs mass diverges, and is an attractor on the vacuum landscape.The hierarchy problem is solved in two steps. It is first promoted into a problem of the super-selection rule among the infinite number of vacua (analogous to theta-vacua in QCD), that are finely scanned by the Higgs mass. This rule is lifted by heavy branes, which effectively convert the Higgs mass into a dynamical variable. The key point is that a discrete "brane-charge-conjugation" symmetry guarantees that the fineness of the vacuum-scanning is set by the Higgs mass itself. On a resulting landscape in all, but a measure-zero set of vacua the Higgs mass has a common hierarchically-small value. In minimal models this value is controlled by the QCD scale and is of the right magnitude. Although in each particular vacuum there is no visible UV-regulating low energy physics, the realistic models are predictive. For example, we show that in the minimal case the "charge conjugation" symmetry is automatically a family symmetry, and imposes severe restrictions on quark Yukawa matrices.
| 13.323139
| 15.539083
| 15.068845
| 12.92515
| 14.266052
| 14.529202
| 14.958174
| 14.65049
| 13.955914
| 14.780624
| 13.408309
| 14.099463
| 13.570525
| 13.496055
| 13.519958
| 13.669605
| 13.425048
| 13.683757
| 13.256718
| 13.783372
| 13.545005
|
1411.6020
|
Christopher Pope
|
A. Borghese, Y. Pang, C.N. Pope and E. Sezgin
|
Correlation Functions in $\omega$-Deformed N=6 Supergravity
|
38 pages, one figure
|
JHEP 1502:112,2015
|
10.1007/JHEP02(2015)112
|
MIFPA-14-30
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gauged N=8 supergravity in four dimensions is now known to admit a
deformation characterized by a real parameter $\omega$ lying in the interval
$0\le\omega\le \pi/8$. We analyse the fluctuations about its anti-de Sitter
vacuum, and show that the full N=8 supersymmetry can be maintained by the
boundary conditions only for $\omega=0$. For non-vanishing $\omega$, and
requiring that there be no propagating spin s>1 fields on the boundary, we show
that N=3 is the maximum degree of supersymmetry that can be preserved by the
boundary conditions. We then construct in detail the consistent truncation of
the N=8 theory to give $\omega$-deformed SO(6) gauged N=6 supergravity, again
with $\omega$ in the range $0\le\omega\le \pi/8$. We show that this theory
admits fully N=6 supersymmetry-preserving boundary conditions not only for
$\omega=0$, but also for $\omega=\pi/8$. These two theories are related by a
U(1) electric-magnetic duality. We observe that the only three-point functions
that depend on $\omega$ involve the coupling of an SO(6) gauge field with the
U(1) gauge field and a scalar or pseudo-scalar field. We compute these
correlation functions and compare them with those of the undeformed N=6 theory.
We find that the correlation functions in the $\omega=\pi/8$ theory
holographically correspond to amplitudes in the U(N)_k x U(N)_{-k} ABJM model
in which the U(1) Noether current is replaced by a dynamical U(1) gauge field.
We also show that the $\omega$-deformed N=6 gauged supergravities can be
obtained via consistent reductions from the eleven-dimensional or
ten-dimensional type IIA supergravities.
|
[
{
"created": "Fri, 21 Nov 2014 21:05:30 GMT",
"version": "v1"
}
] |
2015-02-20
|
[
[
"Borghese",
"A.",
""
],
[
"Pang",
"Y.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Sezgin",
"E.",
""
]
] |
Gauged N=8 supergravity in four dimensions is now known to admit a deformation characterized by a real parameter $\omega$ lying in the interval $0\le\omega\le \pi/8$. We analyse the fluctuations about its anti-de Sitter vacuum, and show that the full N=8 supersymmetry can be maintained by the boundary conditions only for $\omega=0$. For non-vanishing $\omega$, and requiring that there be no propagating spin s>1 fields on the boundary, we show that N=3 is the maximum degree of supersymmetry that can be preserved by the boundary conditions. We then construct in detail the consistent truncation of the N=8 theory to give $\omega$-deformed SO(6) gauged N=6 supergravity, again with $\omega$ in the range $0\le\omega\le \pi/8$. We show that this theory admits fully N=6 supersymmetry-preserving boundary conditions not only for $\omega=0$, but also for $\omega=\pi/8$. These two theories are related by a U(1) electric-magnetic duality. We observe that the only three-point functions that depend on $\omega$ involve the coupling of an SO(6) gauge field with the U(1) gauge field and a scalar or pseudo-scalar field. We compute these correlation functions and compare them with those of the undeformed N=6 theory. We find that the correlation functions in the $\omega=\pi/8$ theory holographically correspond to amplitudes in the U(N)_k x U(N)_{-k} ABJM model in which the U(1) Noether current is replaced by a dynamical U(1) gauge field. We also show that the $\omega$-deformed N=6 gauged supergravities can be obtained via consistent reductions from the eleven-dimensional or ten-dimensional type IIA supergravities.
| 4.976145
| 5.00481
| 5.119493
| 4.552491
| 4.925126
| 4.853145
| 4.901077
| 4.591557
| 4.613497
| 5.63102
| 4.633493
| 4.573263
| 4.938856
| 4.582639
| 4.568728
| 4.616093
| 4.586284
| 4.521121
| 4.576223
| 4.852713
| 4.606768
|
1101.2120
|
Pijush Kanti Ghosh
|
Pijush K. Ghosh
|
Deconstructing non-Dirac-hermitian supersymmetric quantum systems
|
27 pages, LateX, no figures
|
J.Phys.A44:215307,2011
|
10.1088/1751-8113/44/21/215307
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A method to construct non-Dirac-hermitian supersymmetric quantum system that
is isospectral with a Dirac-hermitian Hamiltonian is presented. The general
technique involves a realization of the basic canonical (anti-)commutation
relations involving both bosonic and fermionic degrees of freedom in terms of
non-Dirac-hermitian operators which are hermitian in a Hilbert space that is
endowed with a pre-determined positive-definite metric. A pseudo-hermitian
realization of the Clifford algebra for a pre-determined positive-definite
metric is used to construct supersymmetric systems with one or many degrees of
freedom. It is shown that exactly solvable non-Dirac-hermitian supersymmetric
quantum systems can be constructed corresponding to each exactly solvable
Dirac-hermitian system. Examples of non-Dirac-hermitian (i) non-relativistic
Pauli Hamiltonian, (ii) super-conformal quantum system and (iii) supersymmetric
Calogero-type models admitting entirely real spectra are presented.
|
[
{
"created": "Tue, 11 Jan 2011 13:06:08 GMT",
"version": "v1"
}
] |
2011-05-09
|
[
[
"Ghosh",
"Pijush K.",
""
]
] |
A method to construct non-Dirac-hermitian supersymmetric quantum system that is isospectral with a Dirac-hermitian Hamiltonian is presented. The general technique involves a realization of the basic canonical (anti-)commutation relations involving both bosonic and fermionic degrees of freedom in terms of non-Dirac-hermitian operators which are hermitian in a Hilbert space that is endowed with a pre-determined positive-definite metric. A pseudo-hermitian realization of the Clifford algebra for a pre-determined positive-definite metric is used to construct supersymmetric systems with one or many degrees of freedom. It is shown that exactly solvable non-Dirac-hermitian supersymmetric quantum systems can be constructed corresponding to each exactly solvable Dirac-hermitian system. Examples of non-Dirac-hermitian (i) non-relativistic Pauli Hamiltonian, (ii) super-conformal quantum system and (iii) supersymmetric Calogero-type models admitting entirely real spectra are presented.
| 5.519448
| 4.980864
| 6.227107
| 5.412935
| 4.636428
| 4.885923
| 5.19206
| 5.359216
| 4.819212
| 6.472066
| 5.107138
| 5.34982
| 5.785187
| 5.441258
| 5.317545
| 5.294159
| 5.463338
| 5.323997
| 5.420596
| 5.730757
| 5.313146
|
1810.10013
|
Alessandra Gnecchi
|
G. Bruno De Luca, Alessandra Gnecchi, Gabriele Lo Monaco, Alessandro
Tomasiello
|
Holographic duals of 6d RG flows
|
33 pages, 2 figures
| null |
10.1007/JHEP03(2019)035
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A notable class of superconformal theories (SCFTs) in six dimensions is
parameterized by an integer $N$, an ADE group $G$, and two nilpotent elements
$\mu_\mathrm{L,R}$ in $G$. Nilpotent elements have a natural partial ordering,
which has been conjectured to coincide with the hierarchy of
renormalization-group flows among the SCFTs. In this paper we test this
conjecture for $G=\mathrm{SU}(k)$, where AdS$_7$ duals exist in IIA. We work
with a seven-dimensional gauged supergravity, consisting of the gravity
multiplet and two $\mathrm{SU}(k)$ non-Abelian vector multiplets. We show that
this theory has many supersymmetric AdS$_7$ vacua, determined by two nilpotent
elements, which are naturally interpreted as IIA AdS$_7$ solutions. The BPS
equations for domain walls connecting two such vacua can be solved
analytically, up to a Nahm equation with certain boundary conditions. The
latter admit a solution connecting two vacua if and only if the corresponding
nilpotent elements are related by the natural partial ordering, in agreement
with the field theory conjecture.
|
[
{
"created": "Tue, 23 Oct 2018 18:00:00 GMT",
"version": "v1"
}
] |
2019-03-27
|
[
[
"De Luca",
"G. Bruno",
""
],
[
"Gnecchi",
"Alessandra",
""
],
[
"Monaco",
"Gabriele Lo",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] |
A notable class of superconformal theories (SCFTs) in six dimensions is parameterized by an integer $N$, an ADE group $G$, and two nilpotent elements $\mu_\mathrm{L,R}$ in $G$. Nilpotent elements have a natural partial ordering, which has been conjectured to coincide with the hierarchy of renormalization-group flows among the SCFTs. In this paper we test this conjecture for $G=\mathrm{SU}(k)$, where AdS$_7$ duals exist in IIA. We work with a seven-dimensional gauged supergravity, consisting of the gravity multiplet and two $\mathrm{SU}(k)$ non-Abelian vector multiplets. We show that this theory has many supersymmetric AdS$_7$ vacua, determined by two nilpotent elements, which are naturally interpreted as IIA AdS$_7$ solutions. The BPS equations for domain walls connecting two such vacua can be solved analytically, up to a Nahm equation with certain boundary conditions. The latter admit a solution connecting two vacua if and only if the corresponding nilpotent elements are related by the natural partial ordering, in agreement with the field theory conjecture.
| 6.069316
| 6.386798
| 7.600879
| 6.05373
| 5.822214
| 6.295977
| 5.843808
| 5.907843
| 5.944156
| 7.78139
| 5.905664
| 6.11991
| 6.151397
| 5.858433
| 5.941069
| 5.782722
| 5.771873
| 6.051166
| 5.763662
| 6.212392
| 5.759995
|
hep-th/9606021
| null |
R. Banerjee and P. Mukherjee
|
Galilean symmetry in a nonabelian Chern Simons matter system
|
Latex file, 15 pages, no figures
|
Annals Phys. 264 (1998) 30-50
|
10.1006/aphy.1997.5760
|
SNBNCBS/96/4/2
|
hep-th
| null |
We study the Galilean symmetry in a nonrelativistic model, recently advanced
by Bak, Jackiw and Pi, involving the coupling of a nonabelian Chern-Simons term
with matter fields. The validity of the Galilean algebra on the constraint
surface is demonstrated in the gauge independent formalism. Then the reduced
space formulation is discussed in the axial gauge using the symplectic method.
An anomalous term in the Galilean algebra is obtained which can be eliminated
by demanding conditions on the Green function. Finally, the axial gauge is also
treated by Dirac's method.
Galilean symmetry is preserved in this method. Comparisions with the
symplectic approach reveal some interesting features.
|
[
{
"created": "Wed, 5 Jun 1996 16:13:43 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Banerjee",
"R.",
""
],
[
"Mukherjee",
"P.",
""
]
] |
We study the Galilean symmetry in a nonrelativistic model, recently advanced by Bak, Jackiw and Pi, involving the coupling of a nonabelian Chern-Simons term with matter fields. The validity of the Galilean algebra on the constraint surface is demonstrated in the gauge independent formalism. Then the reduced space formulation is discussed in the axial gauge using the symplectic method. An anomalous term in the Galilean algebra is obtained which can be eliminated by demanding conditions on the Green function. Finally, the axial gauge is also treated by Dirac's method. Galilean symmetry is preserved in this method. Comparisions with the symplectic approach reveal some interesting features.
| 10.954728
| 11.417418
| 11.715422
| 10.053552
| 11.285771
| 9.678062
| 10.523685
| 10.315661
| 9.927189
| 11.618776
| 10.130371
| 10.237367
| 11.288309
| 10.054117
| 10.251764
| 10.357934
| 10.439332
| 10.282173
| 10.462694
| 11.192775
| 10.087489
|
1805.11689
|
Micha{\l} Spali\'nski
|
Micha{\l} Spali\'nski
|
Universal behaviour, transients and attractors in supersymmetric
Yang-Mills plasma
|
Introduction improved, additional references
| null |
10.1016/j.physletb.2018.07.003
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Numerical simulations of expanding plasma based on the AdS/CFT correspondence
as well as kinetic theory and hydrodynamic models strongly suggest that some
observables exhibit universal behaviour even when the system is not close to
local equilibrium. This leading behaviour is expected to be corrected by
transient, exponentially decaying contributions which carry information about
the initial state. Focusing on late times, when the system is already in the
hydrodynamic regime, we analyse numerical solutions describing expanding plasma
of strongly coupled N=4 supersymmetric Yang-Mills theory and identify these
transient effects, matching them in a quantitative way to leading trans-series
corrections corresponding to least-damped quasinormal modes of AdS black
branes. In the process we offer additional evidence supporting the recent
identification of the Borel sum of the hydrodynamic gradient expansion with the
far-from-equilibrium attractor in this system.
|
[
{
"created": "Tue, 29 May 2018 20:00:44 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2018 07:29:47 GMT",
"version": "v2"
}
] |
2018-07-30
|
[
[
"Spaliński",
"Michał",
""
]
] |
Numerical simulations of expanding plasma based on the AdS/CFT correspondence as well as kinetic theory and hydrodynamic models strongly suggest that some observables exhibit universal behaviour even when the system is not close to local equilibrium. This leading behaviour is expected to be corrected by transient, exponentially decaying contributions which carry information about the initial state. Focusing on late times, when the system is already in the hydrodynamic regime, we analyse numerical solutions describing expanding plasma of strongly coupled N=4 supersymmetric Yang-Mills theory and identify these transient effects, matching them in a quantitative way to leading trans-series corrections corresponding to least-damped quasinormal modes of AdS black branes. In the process we offer additional evidence supporting the recent identification of the Borel sum of the hydrodynamic gradient expansion with the far-from-equilibrium attractor in this system.
| 10.99812
| 11.00341
| 10.930291
| 9.822198
| 10.517108
| 10.391254
| 10.937465
| 10.669854
| 9.709026
| 11.078129
| 10.10146
| 9.766378
| 11.156193
| 10.086155
| 10.386573
| 10.432584
| 10.055706
| 10.491407
| 9.860828
| 10.434594
| 9.859119
|
1212.2731
|
Sylvester Gates Jr.
|
Keith Burghardt, and S. James Gates Jr
|
Adinkra Isomorphisms and `Seeing' Shapes with Eigenvalues
|
LaTeX twice, 23 pages, 7 figures
| null | null |
Univ. of MD Preprint PP 012-015
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We create an algorithm to determine whether any two graphical representations
(adinkras) of equations possessing the property of supersymmetry in one or two
dimensions are isomorphic in shape. The algorithm is based on the determinant
of `permutation matrices' that are defined in this work and derivable for any
adinkra.
|
[
{
"created": "Wed, 12 Dec 2012 08:41:11 GMT",
"version": "v1"
}
] |
2012-12-13
|
[
[
"Burghardt",
"Keith",
""
],
[
"Gates",
"S. James",
"Jr"
]
] |
We create an algorithm to determine whether any two graphical representations (adinkras) of equations possessing the property of supersymmetry in one or two dimensions are isomorphic in shape. The algorithm is based on the determinant of `permutation matrices' that are defined in this work and derivable for any adinkra.
| 18.152773
| 18.188643
| 17.127157
| 14.354363
| 17.264063
| 17.589287
| 16.975615
| 15.629103
| 17.053484
| 22.493786
| 14.2143
| 17.285295
| 17.657633
| 17.236935
| 15.824973
| 16.283615
| 16.181429
| 16.474985
| 17.044203
| 16.499947
| 16.055004
|
1304.6409
|
Marco Bochicchio
|
M. Bochicchio, S. P. Muscinelli
|
Ultraviolet asymptotics of glueball propagators
|
50 pages; paper as published in JHEP; added a comment on AdS String/
Gauge Theory correspondence in the abstract; a factor of 1/2 in the
definition of the ASD correlator corrected
|
JHEP 08 (2013) 064
|
10.1007/JHEP08(2013)064
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We point out that perturbation theory in conjunction with the renormalization
group (RG) puts a severe constraint on the structure of the large-N
non-perturbative glueball propagators in SU(N) pure YM, in QCD and in n=1 SUSY
QCD with massless quarks, or in any confining asymptotically-free gauge theory
massless in perturbation theory. For the scalar and pseudoscalar glueball
propagators in pure YM and QCD with massless quarks we check in detail the
RG-improved estimate to the order of the leading and next-to-leading logarithms
by means of a remarkable three-loop computation by Chetyrkin et al. We
investigate as to whether the aforementioned constraint is satisfied by any of
the scalar or pseudoscalar glueball propagators computed in the framework of
the AdS String/ large-N Gauge Theory correspondence and of a recent proposal
based on a Topological Field Theory underlying the large-N limit of YM. We find
that none of the proposals for the scalar or the pseudoscalar glueball
propagators based on the AdS String/ large-N Gauge Theory correspondence
satisfies the constraint, actually as expected, since the gravity side of the
correspondence is in fact strongly coupled in the ultraviolet. On the contrary,
the Topological Field Theory satisfies the constraint that follows by the
asymptotic freedom.
|
[
{
"created": "Tue, 23 Apr 2013 20:00:20 GMT",
"version": "v1"
},
{
"created": "Mon, 13 May 2013 21:36:32 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Jun 2013 00:53:53 GMT",
"version": "v3"
},
{
"created": "Mon, 2 Sep 2013 16:17:54 GMT",
"version": "v4"
}
] |
2015-06-15
|
[
[
"Bochicchio",
"M.",
""
],
[
"Muscinelli",
"S. P.",
""
]
] |
We point out that perturbation theory in conjunction with the renormalization group (RG) puts a severe constraint on the structure of the large-N non-perturbative glueball propagators in SU(N) pure YM, in QCD and in n=1 SUSY QCD with massless quarks, or in any confining asymptotically-free gauge theory massless in perturbation theory. For the scalar and pseudoscalar glueball propagators in pure YM and QCD with massless quarks we check in detail the RG-improved estimate to the order of the leading and next-to-leading logarithms by means of a remarkable three-loop computation by Chetyrkin et al. We investigate as to whether the aforementioned constraint is satisfied by any of the scalar or pseudoscalar glueball propagators computed in the framework of the AdS String/ large-N Gauge Theory correspondence and of a recent proposal based on a Topological Field Theory underlying the large-N limit of YM. We find that none of the proposals for the scalar or the pseudoscalar glueball propagators based on the AdS String/ large-N Gauge Theory correspondence satisfies the constraint, actually as expected, since the gravity side of the correspondence is in fact strongly coupled in the ultraviolet. On the contrary, the Topological Field Theory satisfies the constraint that follows by the asymptotic freedom.
| 8.116622
| 8.324587
| 8.242137
| 7.840268
| 8.043892
| 8.165624
| 7.347538
| 7.724964
| 7.571664
| 8.467223
| 7.773224
| 7.876661
| 7.814812
| 7.859337
| 7.832262
| 7.94728
| 7.890677
| 7.859444
| 7.573655
| 8.033548
| 7.863213
|
1309.1085
|
Andrei Linde
|
Sergio Ferrara, Renata Kallosh, Andrei Linde and Massimo Porrati
|
Higher Order Corrections in Minimal Supergravity Models of Inflation
|
25 pages, the version to appear in JCAP
| null |
10.1088/1475-7516/2013/11/046
|
CERN-PH-TH/2013-214
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study higher order corrections in new minimal supergravity models of a
single scalar field inflation. The gauging in these models leads to a massive
vector multiplet and the D-term potential for the inflaton field with a
coupling g^{2} ~ 10^{-10}. In the de-Higgsed phase with vanishing g^2, the
chiral and vector multiplets are non-interacting, and the potential vanishes.
We present generic manifestly supersymmetric higher order corrections for these
models. In particular, for a supersymmetric gravity model -R+ R^2 we derive
manifestly supersymmetric corrections corresponding to R^n. The dual version
corresponds to a standard supergravity model with a single scalar and a massive
vector. It includes, in addition, higher Maxwell curvature/scalar interaction
terms of the Born-Infeld type and a modified D-term scalar field potential. We
use the dual version of the model to argue that higher order corrections do not
affect the last 60 e-foldings of inflation; for example the \xi R^4 correction
is irrelevant as long as \xi< 10^{24}.
|
[
{
"created": "Wed, 4 Sep 2013 16:08:17 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Nov 2013 18:29:29 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Porrati",
"Massimo",
""
]
] |
We study higher order corrections in new minimal supergravity models of a single scalar field inflation. The gauging in these models leads to a massive vector multiplet and the D-term potential for the inflaton field with a coupling g^{2} ~ 10^{-10}. In the de-Higgsed phase with vanishing g^2, the chiral and vector multiplets are non-interacting, and the potential vanishes. We present generic manifestly supersymmetric higher order corrections for these models. In particular, for a supersymmetric gravity model -R+ R^2 we derive manifestly supersymmetric corrections corresponding to R^n. The dual version corresponds to a standard supergravity model with a single scalar and a massive vector. It includes, in addition, higher Maxwell curvature/scalar interaction terms of the Born-Infeld type and a modified D-term scalar field potential. We use the dual version of the model to argue that higher order corrections do not affect the last 60 e-foldings of inflation; for example the \xi R^4 correction is irrelevant as long as \xi< 10^{24}.
| 12.779339
| 13.037429
| 14.146766
| 12.352817
| 13.30444
| 12.245374
| 12.314114
| 12.277835
| 12.688886
| 14.388253
| 11.762007
| 11.698047
| 12.569148
| 11.933908
| 12.447867
| 12.149903
| 12.13787
| 11.488707
| 12.174773
| 12.591352
| 11.704402
|
1909.04055
|
Subhajit Mazumdar
|
Barak Kol and Subhajit Mazumdar
|
Triangle diagram, Distance Geometry and Symmetries of Feynman Integrals
|
29 pages, JHEP published version
| null |
10.1007/JHEP03(2020)156
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the most general triangle diagram through the Symmetries of Feynman
Integrals (SFI) approach. The SFI equation system is obtained and presented in
a simple basis. The system is solved providing a novel derivation of an
essentially known expression. We stress a description of the underlying
geometry in terms of the Distance Geometry of a tetrahedron discussed by
Davydychev-Delbourgo [1], a tetrahedron which is the dual on-shell diagram. In
addition, the singular locus is identified and the diagram's value on the
locus's two components is expressed as a linear combination of descendant
bubble diagrams. The massless triangle and the associated magic connection are
revisited.
|
[
{
"created": "Mon, 9 Sep 2019 18:00:05 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Apr 2020 13:42:03 GMT",
"version": "v2"
}
] |
2020-04-22
|
[
[
"Kol",
"Barak",
""
],
[
"Mazumdar",
"Subhajit",
""
]
] |
We study the most general triangle diagram through the Symmetries of Feynman Integrals (SFI) approach. The SFI equation system is obtained and presented in a simple basis. The system is solved providing a novel derivation of an essentially known expression. We stress a description of the underlying geometry in terms of the Distance Geometry of a tetrahedron discussed by Davydychev-Delbourgo [1], a tetrahedron which is the dual on-shell diagram. In addition, the singular locus is identified and the diagram's value on the locus's two components is expressed as a linear combination of descendant bubble diagrams. The massless triangle and the associated magic connection are revisited.
| 23.193544
| 22.824986
| 22.334206
| 19.590874
| 23.240185
| 19.636808
| 22.14493
| 18.77524
| 19.580894
| 27.901257
| 21.146917
| 21.118576
| 22.641653
| 22.065434
| 20.383163
| 20.980408
| 20.688639
| 21.604662
| 21.583519
| 22.583282
| 21.436661
|
hep-th/9908167
|
Paul H. Frampton
|
P.H. Frampton
|
Application of Conformal Gauge Theories Derived from Field-String
Duality
|
18 pages LaTeX. Talk at BEYOND 99, June 6-12, 1999 at Castle
Ringberg, Tegernsee, Germany
| null | null |
IFP-775-UNC
|
hep-th
| null |
In this article I first give an abbreviated history of string theory and then
describe the recently-conjectured field-string duality. This suggests a class
of nonsupersymmetric gauge theories which are conformal (CGT) to leading order
of 1/N and some of which may be conformal for finite N. These models are very
rigid since the gauge group representations of not only the chiral fermions but
also the Higgs scalars are prescribed by the construction. If the standard
model becomes conformal at TeV scales the GUT hierarchy is nullified, and
model-building on this basis is an interesting direction. Some comments are
added about the dual relationship to gravity which is absent in the CGT
description.
|
[
{
"created": "Wed, 25 Aug 1999 21:53:01 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Frampton",
"P. H.",
""
]
] |
In this article I first give an abbreviated history of string theory and then describe the recently-conjectured field-string duality. This suggests a class of nonsupersymmetric gauge theories which are conformal (CGT) to leading order of 1/N and some of which may be conformal for finite N. These models are very rigid since the gauge group representations of not only the chiral fermions but also the Higgs scalars are prescribed by the construction. If the standard model becomes conformal at TeV scales the GUT hierarchy is nullified, and model-building on this basis is an interesting direction. Some comments are added about the dual relationship to gravity which is absent in the CGT description.
| 15.807794
| 18.101833
| 14.658022
| 15.055209
| 16.123415
| 17.030056
| 17.384644
| 15.807466
| 13.861532
| 18.090975
| 16.296486
| 15.761695
| 15.518176
| 15.560942
| 15.840986
| 15.413137
| 16.087868
| 15.659674
| 14.651706
| 15.436718
| 15.463771
|
hep-th/0412170
|
Ho-Ung Yee
|
Dongsu Bak and Ho-Ung Yee
|
Separation of Spontaneous Chiral Symmetry Breaking and Confinement via
AdS/CFT Correspondence
|
LaTex, 21 pages, 3 figures. v2: references added
|
Phys.Rev. D71 (2005) 046003
|
10.1103/PhysRevD.71.046003
| null |
hep-th
| null |
We analyze, in the framework of AdS/CFT correspondence, the gauge theory
phase structure that are supposed to be dual to the recently found
non-supersymmetric dilatonic deformations to AdS_5 X S^5 in type IIB string
theory. Analyzing the probe D7-brane dynamics in the backgrounds of our
interest, which corresponds to the fundamental N=2 hypermultiplet, we show that
the chiral bi-fermion condensation responsible for spontaneous chiral symmetry
breaking is not logically related to the phenomenon of confinement.
|
[
{
"created": "Thu, 16 Dec 2004 17:04:22 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jan 2005 14:23:54 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Bak",
"Dongsu",
""
],
[
"Yee",
"Ho-Ung",
""
]
] |
We analyze, in the framework of AdS/CFT correspondence, the gauge theory phase structure that are supposed to be dual to the recently found non-supersymmetric dilatonic deformations to AdS_5 X S^5 in type IIB string theory. Analyzing the probe D7-brane dynamics in the backgrounds of our interest, which corresponds to the fundamental N=2 hypermultiplet, we show that the chiral bi-fermion condensation responsible for spontaneous chiral symmetry breaking is not logically related to the phenomenon of confinement.
| 8.992558
| 8.658076
| 9.042764
| 8.030587
| 8.640482
| 8.454956
| 8.18287
| 8.52785
| 8.576852
| 9.702996
| 8.349395
| 8.223099
| 8.458519
| 7.900214
| 7.88421
| 8.272849
| 8.176881
| 8.101766
| 8.037301
| 8.743388
| 8.02509
|
0711.0221
|
Henrique Boschi-Filho
|
C. A. Ballon Bayona, Henrique Boschi-Filho, and Nelson R. F. Braga
|
Deep inelastic scattering from gauge string duality in the soft wall
model
|
V3: Results unchanged. We clarified the differences between the soft
and hard wall models regarding the calculation of structure functions in DIS.
We included a calculation of elastic form factors. We explained in more
detail the hybrid model proposed for fermions. Version accepted for
publication in JHEP. 20 pages, 1 Latex figure
|
JHEP0803:064,2008
|
10.1088/1126-6708/2008/03/064
| null |
hep-th hep-ph
| null |
Deep inelastic structure functions have been calculated by Polchinski and
Strassler in gauge/string duality introducing a hard infrared (IR) cut off in
AdS space. Here we investigate this problem using a soft IR cut off that leads
to linear Regge trajectories for mesons. We calculate the structure functions
for scalar particles in the large x regime where supergravity approximation
holds and the small x regime where massive string states contribute. We also
propose a hybrid model to calculate structure functions for fermions in the
supergravity approximation. In the deep inelastic limit our results are in
agreement with those obtained using a hard cut off.
|
[
{
"created": "Thu, 1 Nov 2007 21:26:42 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Nov 2007 17:25:22 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Mar 2008 19:59:33 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Bayona",
"C. A. Ballon",
""
],
[
"Boschi-Filho",
"Henrique",
""
],
[
"Braga",
"Nelson R. F.",
""
]
] |
Deep inelastic structure functions have been calculated by Polchinski and Strassler in gauge/string duality introducing a hard infrared (IR) cut off in AdS space. Here we investigate this problem using a soft IR cut off that leads to linear Regge trajectories for mesons. We calculate the structure functions for scalar particles in the large x regime where supergravity approximation holds and the small x regime where massive string states contribute. We also propose a hybrid model to calculate structure functions for fermions in the supergravity approximation. In the deep inelastic limit our results are in agreement with those obtained using a hard cut off.
| 9.407543
| 8.648664
| 8.426231
| 8.193129
| 8.298344
| 8.675884
| 8.039258
| 8.46105
| 8.104743
| 8.440012
| 8.054274
| 8.911655
| 8.722425
| 8.499431
| 8.754454
| 8.608471
| 8.323733
| 8.674912
| 8.760509
| 8.656172
| 9.117515
|
2312.08438
|
Eric R. Sharpe
|
E. Sharpe
|
Dilaton shifts, probability measures, and decomposition
|
67 pages, LaTeX
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we discuss dilaton shifts (Euler counterterms) arising in
decomposition of two-dimensional quantum field theories with higher-form
symmetries. These take a universal form, reflecting underlying (noninvertible,
quantum) symmetries. The first part of this paper constructs a general formula
for such dilaton shifts, and discusses related computations. In the second part
of this paper, we comment on the relation between decomposition and ensembles.
|
[
{
"created": "Wed, 13 Dec 2023 19:00:01 GMT",
"version": "v1"
}
] |
2023-12-15
|
[
[
"Sharpe",
"E.",
""
]
] |
In this paper we discuss dilaton shifts (Euler counterterms) arising in decomposition of two-dimensional quantum field theories with higher-form symmetries. These take a universal form, reflecting underlying (noninvertible, quantum) symmetries. The first part of this paper constructs a general formula for such dilaton shifts, and discusses related computations. In the second part of this paper, we comment on the relation between decomposition and ensembles.
| 17.616364
| 15.490191
| 18.823082
| 13.694958
| 15.842981
| 16.356342
| 14.623535
| 15.315719
| 15.215786
| 19.441572
| 15.868979
| 15.203457
| 17.19729
| 15.937429
| 15.515021
| 15.555511
| 15.25762
| 15.815804
| 15.497099
| 18.146727
| 15.141689
|
hep-th/0410032
|
Oktay Pashaev
|
Jyh-Hao Lee and Oktay K. Pashaev
|
Soliton Resonances for MKP-II
|
11 pages, 2 figures, Talk on International Conference "Nonlinear
Physics. Theory and Experiment. III", 24 June-3 July, 2004, Gallipoli(Lecce),
Italy
|
Theor.Math.Phys. 144 (2005) 995-1003; Teor.Mat.Fiz. 144 (2005)
133-142
|
10.1007/s11232-005-0127-5
| null |
hep-th
| null |
Using the second flow - the Derivative Reaction-Diffusion system, and the
third one of the dissipative SL(2,R) Kaup-Newell hierarchy, we show that the
product of two functions, satisfying those systems is a solution of the
modified Kadomtsev-Petviashvili equation in 2+1 dimension with negative
dispersion (MKP-II). We construct Hirota's bilinear representation for both
flows and combine them together as the bilinear system for MKP-II. Using this
bilinear form we find one and two soliton solutions for the MKP-II. For special
values of parameters our solution shows resonance behaviour with creation of
four virtual solitons. Our approach allows one to interpret the resonance
soliton as a composite object of two dissipative solitons in 1+1 dimensions.
|
[
{
"created": "Mon, 4 Oct 2004 15:48:56 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Lee",
"Jyh-Hao",
""
],
[
"Pashaev",
"Oktay K.",
""
]
] |
Using the second flow - the Derivative Reaction-Diffusion system, and the third one of the dissipative SL(2,R) Kaup-Newell hierarchy, we show that the product of two functions, satisfying those systems is a solution of the modified Kadomtsev-Petviashvili equation in 2+1 dimension with negative dispersion (MKP-II). We construct Hirota's bilinear representation for both flows and combine them together as the bilinear system for MKP-II. Using this bilinear form we find one and two soliton solutions for the MKP-II. For special values of parameters our solution shows resonance behaviour with creation of four virtual solitons. Our approach allows one to interpret the resonance soliton as a composite object of two dissipative solitons in 1+1 dimensions.
| 10.803609
| 11.987818
| 12.536448
| 10.674039
| 12.875447
| 11.546598
| 11.497503
| 11.93337
| 10.7083
| 12.111971
| 10.53817
| 9.778853
| 10.207626
| 9.692103
| 10.236731
| 9.92628
| 9.829
| 9.664105
| 9.775837
| 9.994044
| 9.372383
|
2304.09212
|
Soumangsu Chakraborty Dr
|
Soumangsu Chakraborty, Amit Giveon and David Kutasov
|
Momentum in Single-trace $T\bar T$ Holography
|
16 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the study of 2006.13249, 2303.12422 to black strings with general
momentum, and discuss their interpretation in single-trace $T\bar T$ deformed
$CFT_2$.
|
[
{
"created": "Tue, 18 Apr 2023 18:03:45 GMT",
"version": "v1"
}
] |
2023-04-20
|
[
[
"Chakraborty",
"Soumangsu",
""
],
[
"Giveon",
"Amit",
""
],
[
"Kutasov",
"David",
""
]
] |
We extend the study of 2006.13249, 2303.12422 to black strings with general momentum, and discuss their interpretation in single-trace $T\bar T$ deformed $CFT_2$.
| 29.92333
| 16.438002
| 26.271341
| 15.69678
| 16.160379
| 17.36878
| 17.215448
| 16.460497
| 14.02238
| 29.693985
| 16.277643
| 17.397341
| 24.230833
| 20.36775
| 17.815384
| 18.91647
| 18.086279
| 18.681007
| 18.491041
| 23.001686
| 20.203571
|
hep-th/0401067
|
Sumit Das
|
Sumit R. Das
|
D branes in 2d String Theory and Classical limits
|
LaTeX, 17 pages, 3 .eps figures, based on talks at "QTS3" at
Cincinnati and "Workshop on Branes" at Argonne
| null |
10.1142/9789812702340_0026
|
UK/04-08
|
hep-th
| null |
In the matrix model formulation of two dimensional noncritical string theory,
a D0 brane is identified with a single eigenvalue excitation. In terms of open
string quantities (i.e fermionic eigenvalues) the classical limit of a
macroscopically large number of D0 branes has a smooth classical limit : they
are described by a filled region of phase space whose size is O(1) and
disconnected from the Fermi sea. We show that while this has a proper
description in terms of a {\em single} bosonic field at the quantum level, the
classical limit is rather nontrivial. The quantum dispersions of bosonic
quantities {\em survive in the classical limit} and appear as additional fields
in a semiclassical description. This reinforces the fact that while the open
string field theory description of these D-branes (i.e. in terms of fermions)
has a smooth classical limit, a closed string field theory description (in
terms of a single boson) does not.
|
[
{
"created": "Mon, 12 Jan 2004 02:06:30 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Das",
"Sumit R.",
""
]
] |
In the matrix model formulation of two dimensional noncritical string theory, a D0 brane is identified with a single eigenvalue excitation. In terms of open string quantities (i.e fermionic eigenvalues) the classical limit of a macroscopically large number of D0 branes has a smooth classical limit : they are described by a filled region of phase space whose size is O(1) and disconnected from the Fermi sea. We show that while this has a proper description in terms of a {\em single} bosonic field at the quantum level, the classical limit is rather nontrivial. The quantum dispersions of bosonic quantities {\em survive in the classical limit} and appear as additional fields in a semiclassical description. This reinforces the fact that while the open string field theory description of these D-branes (i.e. in terms of fermions) has a smooth classical limit, a closed string field theory description (in terms of a single boson) does not.
| 10.759258
| 10.732776
| 11.339757
| 9.729242
| 9.633537
| 10.050124
| 9.711863
| 9.95588
| 9.46705
| 11.581252
| 9.84006
| 10.213584
| 10.337689
| 10.03667
| 9.790263
| 9.573843
| 9.905568
| 10.358927
| 10.007502
| 10.498
| 9.917646
|
1507.06375
|
So Matsuura
|
So Matsuura and Norisuke Sakai
|
Ising Model on Twisted Lattice and Holographic RG flow
|
27 pages, 3 figures, references added, comments added, typos
corrected, a phase factor is added to the definition of the shift matrix,
derivation of the partition function is refined
| null |
10.1093/ptep/ptv147
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The partition function of the two-dimensional Ising model is exactly obtained
on a lattice with a twisted boundary condition. The continuum limit of the
model off the critical temperature is found to give the mass-deformed Ising
conformal field theory (CFT) on the torus with the complex structure $\tau$. We
find that the renormalization group (RG) flow of the mass parameter can be
holographically described in terms of the three-dimensional gravity including a
scalar field with a simple nonlinear kinetic function and a quadratic
potential.
|
[
{
"created": "Thu, 23 Jul 2015 02:50:01 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jul 2015 01:44:55 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Sep 2015 06:55:30 GMT",
"version": "v3"
},
{
"created": "Tue, 9 Feb 2016 05:01:18 GMT",
"version": "v4"
}
] |
2016-02-10
|
[
[
"Matsuura",
"So",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
The partition function of the two-dimensional Ising model is exactly obtained on a lattice with a twisted boundary condition. The continuum limit of the model off the critical temperature is found to give the mass-deformed Ising conformal field theory (CFT) on the torus with the complex structure $\tau$. We find that the renormalization group (RG) flow of the mass parameter can be holographically described in terms of the three-dimensional gravity including a scalar field with a simple nonlinear kinetic function and a quadratic potential.
| 8.415138
| 7.884208
| 7.812952
| 7.399001
| 8.001015
| 7.959107
| 8.150016
| 7.316339
| 7.866917
| 8.364488
| 7.697468
| 7.626729
| 8.259851
| 7.542051
| 7.507765
| 7.493814
| 7.595518
| 7.513506
| 7.702421
| 8.304677
| 7.470536
|
hep-th/0010149
|
Corneliu Sochichiu
|
Corneliu Sochichiu
|
A Note on Noncommutative and False Noncommutative spaces
|
3 pages, comments and refs added
|
Appl.Sciences 3:48-51,2001
| null | null |
hep-th
| null |
We show that the algebra of functions on noncommutative space allows two
different representations. One is describing the genuine noncommutative space,
while another one can be rewritten in commutative form by a redefinition of
generators.
|
[
{
"created": "Wed, 18 Oct 2000 08:24:14 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2000 07:49:27 GMT",
"version": "v2"
}
] |
2009-02-05
|
[
[
"Sochichiu",
"Corneliu",
""
]
] |
We show that the algebra of functions on noncommutative space allows two different representations. One is describing the genuine noncommutative space, while another one can be rewritten in commutative form by a redefinition of generators.
| 11.586905
| 8.121337
| 11.049923
| 8.683475
| 7.756556
| 8.215949
| 7.731915
| 8.295424
| 7.836781
| 9.745049
| 8.52233
| 9.153267
| 10.153148
| 8.833661
| 8.949788
| 8.851429
| 8.78708
| 9.044717
| 9.100839
| 9.895297
| 8.657546
|
hep-th/0007052
|
D. S. Berman
|
D. S. Berman and P. Sundell
|
Flowing from a noncommmutative (OM) five brane via its supergravity dual
|
13 pages, 1 figure, revtex, typos corrected and an additional
condition on how to take the decoupling limit is incorporated, references
added
|
JHEP 0010 (2000) 014
|
10.1088/1126-6708/2000/10/014
| null |
hep-th
| null |
The dual supergravity description of the flow between (2,0) five-brane theory
and the noncommutative five-brane (OM) theory is examined at critical
five-brane field strength. The self-duality of the field strength is shown to
arise as a consequence of the supergravity solution. Open membrane solutions
are examined in the background of the five-brane giving rise to an M analogue
of the noncommutative open string (NCOS) solution.
|
[
{
"created": "Thu, 6 Jul 2000 21:07:02 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jul 2000 13:36:22 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Aug 2000 12:11:58 GMT",
"version": "v3"
},
{
"created": "Tue, 5 Sep 2000 10:40:32 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Berman",
"D. S.",
""
],
[
"Sundell",
"P.",
""
]
] |
The dual supergravity description of the flow between (2,0) five-brane theory and the noncommutative five-brane (OM) theory is examined at critical five-brane field strength. The self-duality of the field strength is shown to arise as a consequence of the supergravity solution. Open membrane solutions are examined in the background of the five-brane giving rise to an M analogue of the noncommutative open string (NCOS) solution.
| 12.004939
| 11.107781
| 13.600892
| 9.9127
| 10.42174
| 11.695651
| 10.847384
| 11.140614
| 11.169103
| 16.463821
| 10.244899
| 11.070074
| 12.438187
| 10.507491
| 11.247035
| 10.282988
| 10.271199
| 10.661439
| 10.73456
| 11.953185
| 10.726575
|
1003.3881
|
Carl Bender
|
Carl M. Bender
|
Almost zero-dimensional PT-symmetric quantum field theories
|
8 pages, 1 figure
| null | null | null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In 1992 Bender, Boettcher, and Lipatov proposed in two papers a new and
unusual nonperturbative calculational tool in quantum field theory. The
objective was to expand the Green's functions of the quantum field theory as
Taylor series in powers of the space-time dimension D. In particular, the
vacuum energy for a massless \phi^{2N} (N=1,2,3,...) quantum field theory was
studied. The first two Taylor coefficients in this dimensional expansion were
calculated {\it exactly} and a set of graphical rules were devised that could
be used to calculate approximately the higher coefficients in the series. This
approach is mathematically valid and gives accurate results, but it has not
been actively pursued and investigated. Subsequently, in 1998 Bender and
Boettcher discovered that PT-symmetric quantum-mechanical Hamiltonians of the
form H=p^2+x^2(ix)^\epsilon, where \epsilon\geq0, have real spectra. These new
kinds of complex non-Dirac-Hermitian Hamiltonians define physically acceptable
quantum-mechanical theories. This result in quantum mechanics suggests that the
corresponding non-Dirac-Hermitian D-dimensional \phi^2(i\phi)^\epsilon quantum
field theories might also have real spectra. To examine this hypothesis, we
return to the technique devised in 1992 and in this paper we calculate the
first two coefficients in the dimensional expansion of the ground-state energy
of this complex non-Dirac-Hermitian quantum field theory. We show that to first
order in this dimensional approximation the ground-state energy is indeed real
for \epsilon\geq0.
|
[
{
"created": "Fri, 19 Mar 2010 20:10:41 GMT",
"version": "v1"
}
] |
2010-03-23
|
[
[
"Bender",
"Carl M.",
""
]
] |
In 1992 Bender, Boettcher, and Lipatov proposed in two papers a new and unusual nonperturbative calculational tool in quantum field theory. The objective was to expand the Green's functions of the quantum field theory as Taylor series in powers of the space-time dimension D. In particular, the vacuum energy for a massless \phi^{2N} (N=1,2,3,...) quantum field theory was studied. The first two Taylor coefficients in this dimensional expansion were calculated {\it exactly} and a set of graphical rules were devised that could be used to calculate approximately the higher coefficients in the series. This approach is mathematically valid and gives accurate results, but it has not been actively pursued and investigated. Subsequently, in 1998 Bender and Boettcher discovered that PT-symmetric quantum-mechanical Hamiltonians of the form H=p^2+x^2(ix)^\epsilon, where \epsilon\geq0, have real spectra. These new kinds of complex non-Dirac-Hermitian Hamiltonians define physically acceptable quantum-mechanical theories. This result in quantum mechanics suggests that the corresponding non-Dirac-Hermitian D-dimensional \phi^2(i\phi)^\epsilon quantum field theories might also have real spectra. To examine this hypothesis, we return to the technique devised in 1992 and in this paper we calculate the first two coefficients in the dimensional expansion of the ground-state energy of this complex non-Dirac-Hermitian quantum field theory. We show that to first order in this dimensional approximation the ground-state energy is indeed real for \epsilon\geq0.
| 6.513513
| 6.001901
| 7.20786
| 6.004744
| 6.498407
| 6.675021
| 6.205374
| 6.155615
| 6.083899
| 7.25631
| 5.92168
| 5.901979
| 6.139934
| 5.987289
| 6.111275
| 6.116569
| 6.08297
| 6.004648
| 6.078609
| 6.414001
| 6.034738
|
hep-th/0312267
|
Luca Silvestrini
|
C.A. Scrucca, M. Serone, L. Silvestrini, A. Wulzer
|
Gauge-Higgs Unification in Orbifold Models
|
27 pages, uses axodraw.sty; v2: version to appear in JHEP
|
JHEP 0402:049,2004
|
10.1088/1126-6708/2004/02/049
|
CERN-TH/2003-315; ROMA-1365/03; SISSA-107/2003/EP
|
hep-th hep-ph
| null |
Six-dimensional orbifold models where the Higgs field is identified with some
internal component of a gauge field are considered. We classify all possible
T^2/Z_N orbifold constructions based on a SU(3) electroweak gauge symmetry.
Depending on the orbifold twist, models with two, one or zero Higgs doublets
can be obtained. Models with one Higgs doublet are particularly interesting
because they lead to a prediction for the Higgs mass, which is twice the W
boson mass at leading order: m_H=2 m_W. The electroweak scale is quadratically
sensitive to the cut-off, but only through very specific localized operators.
We study in detail the structure of these operators at one loop, and identify a
class of models where they do not destabilize the electroweak scale at the
leading order. This provides a very promising framework to construct realistic
and predictive models of electroweak symmetry breaking.
|
[
{
"created": "Mon, 22 Dec 2003 20:20:23 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Feb 2004 14:08:38 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Scrucca",
"C. A.",
""
],
[
"Serone",
"M.",
""
],
[
"Silvestrini",
"L.",
""
],
[
"Wulzer",
"A.",
""
]
] |
Six-dimensional orbifold models where the Higgs field is identified with some internal component of a gauge field are considered. We classify all possible T^2/Z_N orbifold constructions based on a SU(3) electroweak gauge symmetry. Depending on the orbifold twist, models with two, one or zero Higgs doublets can be obtained. Models with one Higgs doublet are particularly interesting because they lead to a prediction for the Higgs mass, which is twice the W boson mass at leading order: m_H=2 m_W. The electroweak scale is quadratically sensitive to the cut-off, but only through very specific localized operators. We study in detail the structure of these operators at one loop, and identify a class of models where they do not destabilize the electroweak scale at the leading order. This provides a very promising framework to construct realistic and predictive models of electroweak symmetry breaking.
| 6.717995
| 6.509371
| 5.645967
| 5.482421
| 6.540836
| 6.331505
| 6.2105
| 6.411357
| 5.813262
| 6.250374
| 6.039242
| 6.109154
| 5.813126
| 5.834809
| 5.931561
| 6.356276
| 5.958886
| 6.308221
| 5.903378
| 6.010174
| 6.162479
|
hep-th/0611119
|
Evgeny Buchbinder
|
Evgeny I. Buchbinder
|
Derivative F-Terms from Heterotic M-Theory Five-brane Instantons
|
10 pages, Latex, minor corrections
|
Phys.Lett.B645:281-285,2007
|
10.1016/j.physletb.2006.12.039
| null |
hep-th
| null |
We study non-perturbative effects due to a heterotic M-theory five-brane
wrapped on Calabi-Yau threefold. We show that such instantons contribute to
derivative F-terms described recently by Beasley and Witten rather than to the
superpotential.
|
[
{
"created": "Fri, 10 Nov 2006 15:58:51 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Dec 2006 15:03:06 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Buchbinder",
"Evgeny I.",
""
]
] |
We study non-perturbative effects due to a heterotic M-theory five-brane wrapped on Calabi-Yau threefold. We show that such instantons contribute to derivative F-terms described recently by Beasley and Witten rather than to the superpotential.
| 10.73724
| 7.968351
| 13.083623
| 8.492355
| 8.6455
| 7.681538
| 8.109118
| 8.79453
| 8.536558
| 13.846018
| 8.887789
| 9.501374
| 11.884438
| 9.667159
| 9.733416
| 9.843081
| 9.877005
| 9.665589
| 9.926768
| 11.944616
| 9.907932
|
1301.0210
|
Peng Zhao
|
Dan Xie and Peng Zhao
|
Central charges and RG flow of strongly-coupled N=2 theory
|
36 pages, 18 figures
|
JHEP 03 (2013) 006
|
10.1007/JHEP03(2013)006
|
DAMTP-2013-1
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the central charges a, c and k_G of a large class of
four-dimensional N=2 superconformal field theories arising from compactifying
the six-dimensional N=(2,0) theory on a Riemann surface with regular and
irregular punctures. We also study the renormalization group flows between the
general Argyres-Douglas theories, which all agree with the a-theorem.
|
[
{
"created": "Wed, 2 Jan 2013 11:15:40 GMT",
"version": "v1"
}
] |
2016-02-25
|
[
[
"Xie",
"Dan",
""
],
[
"Zhao",
"Peng",
""
]
] |
We calculate the central charges a, c and k_G of a large class of four-dimensional N=2 superconformal field theories arising from compactifying the six-dimensional N=(2,0) theory on a Riemann surface with regular and irregular punctures. We also study the renormalization group flows between the general Argyres-Douglas theories, which all agree with the a-theorem.
| 6.014547
| 4.542622
| 7.425119
| 4.962292
| 4.755186
| 5.233874
| 5.103455
| 4.619665
| 4.633579
| 10.25352
| 4.64573
| 5.450975
| 5.908542
| 5.725504
| 5.292486
| 5.348423
| 5.267098
| 5.046169
| 5.587079
| 5.922434
| 5.201046
|
hep-th/9206023
| null |
Amit Giveon
|
On String Field Theory and Effective Actions
|
33 pages, IASSNS-HEP-92/33
|
Nucl.Phys. B391 (1993) 229-256
|
10.1016/0550-3213(93)90148-I
| null |
hep-th
| null |
A truncation of string field theory is compared with the duality invariant
effective action of $D=4, N=4$ heterotic strings to cubic order. The three
string vertex must satisfy a set of compatibility conditions. Any cyclic three
string vertex is compatible with the $D=4, N=4$ effective field theory. The
effective actions may be useful in understanding the non--polynomial structure
and the underlying symmetry of covariant closed string field theory, and in
addressing issues of background independence. We also discuss the effective
action and string field theory of the $N=2$ string.
|
[
{
"created": "Thu, 4 Jun 1992 22:30:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Giveon",
"Amit",
""
]
] |
A truncation of string field theory is compared with the duality invariant effective action of $D=4, N=4$ heterotic strings to cubic order. The three string vertex must satisfy a set of compatibility conditions. Any cyclic three string vertex is compatible with the $D=4, N=4$ effective field theory. The effective actions may be useful in understanding the non--polynomial structure and the underlying symmetry of covariant closed string field theory, and in addressing issues of background independence. We also discuss the effective action and string field theory of the $N=2$ string.
| 10.571374
| 9.654304
| 10.632357
| 9.818187
| 9.75334
| 9.102235
| 9.977797
| 10.076163
| 9.106999
| 12.662663
| 9.257519
| 9.377496
| 10.263824
| 9.869874
| 9.78319
| 9.567344
| 9.515044
| 9.39029
| 9.392026
| 10.521341
| 9.580419
|
2408.02889
|
L\'opez Hern\'andez Angel David
|
A.D. L\'opez-Hern\'andez, Graciela Reyes-Ahumada, Javier Chagoya
|
Categorical generalization of BF theory coupled to gravity
| null | null | null | null |
hep-th math-ph math.CT math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a thorough introduction to the tools of category theory required
for formulating gauge theories based on 2-connections. We provide a detailed
construction of the categorical generalization of BF theory, dubbed BFCG, also
known as 2BF. Similar to BF gravity, it is known that BFCG can be deformed to
give general relativity. Here, we obtain an alternative relation between BFCG
and gravity, which consists of coupling general relativity and BFCG by means of
the volume form constructed out of the BFCG connections. The resulting theory,
closely related to unimodular gravity, is a generalization of BF sequestered
gravity not only in the sense that it adds new fields but also in that it
allows for new choices for the volume form that is coupled to gravity.
Furthermore, we show that BF sequestered gravity in the abelian case is
recovered for a specific choice of the 2-group.
|
[
{
"created": "Tue, 6 Aug 2024 01:34:45 GMT",
"version": "v1"
}
] |
2024-08-07
|
[
[
"López-Hernández",
"A. D.",
""
],
[
"Reyes-Ahumada",
"Graciela",
""
],
[
"Chagoya",
"Javier",
""
]
] |
We present a thorough introduction to the tools of category theory required for formulating gauge theories based on 2-connections. We provide a detailed construction of the categorical generalization of BF theory, dubbed BFCG, also known as 2BF. Similar to BF gravity, it is known that BFCG can be deformed to give general relativity. Here, we obtain an alternative relation between BFCG and gravity, which consists of coupling general relativity and BFCG by means of the volume form constructed out of the BFCG connections. The resulting theory, closely related to unimodular gravity, is a generalization of BF sequestered gravity not only in the sense that it adds new fields but also in that it allows for new choices for the volume form that is coupled to gravity. Furthermore, we show that BF sequestered gravity in the abelian case is recovered for a specific choice of the 2-group.
| 9.434338
| 9.898738
| 9.958461
| 9.31424
| 9.943249
| 9.960453
| 10.573061
| 9.778708
| 9.591032
| 10.892273
| 8.95831
| 9.131884
| 8.796048
| 8.97229
| 8.983592
| 9.248471
| 8.8865
| 9.017617
| 9.135365
| 9.227466
| 8.742
|
1508.04608
|
Yuichiro Nakai
|
Aya Kasai, Yuichiro Nakai, Yutaka Ookouchi
|
Baryon as Impurity for Phase Transition in String Landscape
|
22 pages, 13 figures
| null |
10.1007/JHEP06(2016)029
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a decay of a false vacuum in flux compactifications of type IIB
string theory and study a catalytic effect for a phase transition induced by a
new type of impurities. We concentrate on the large N dual of a
D5-brane/anti-D5-brane system which has a rich vacuum structure. We show that
D3-branes wrapping the 3-cycles can form a dibaryon and make a bound state with
a monopole. We find that these baryon-like objects can make the lifetime of the
metastable vacuum shorter.
|
[
{
"created": "Wed, 19 Aug 2015 11:53:40 GMT",
"version": "v1"
}
] |
2016-06-29
|
[
[
"Kasai",
"Aya",
""
],
[
"Nakai",
"Yuichiro",
""
],
[
"Ookouchi",
"Yutaka",
""
]
] |
We consider a decay of a false vacuum in flux compactifications of type IIB string theory and study a catalytic effect for a phase transition induced by a new type of impurities. We concentrate on the large N dual of a D5-brane/anti-D5-brane system which has a rich vacuum structure. We show that D3-branes wrapping the 3-cycles can form a dibaryon and make a bound state with a monopole. We find that these baryon-like objects can make the lifetime of the metastable vacuum shorter.
| 10.704423
| 9.727604
| 9.947598
| 8.145833
| 9.346757
| 9.025903
| 8.945547
| 8.848832
| 8.584146
| 11.514778
| 9.312687
| 8.990843
| 10.136621
| 9.05293
| 9.391627
| 9.10465
| 8.915999
| 9.220589
| 9.123727
| 9.626874
| 9.183411
|
hep-th/9407086
| null |
Harald Skarke
|
Renormalization Group Flow in a General Gauge Theory
|
11 pages, Latex, ITP--UH--10/94
|
Phys.Lett. B336 (1994) 32-40
|
10.1016/0370-2693(94)00993-7
| null |
hep-th
| null |
The renormalization group flow in a general renormalizable gauge theory with
a simple gauge group in 3+1 dimensions is analyzed. The flow of the ratios of
the Yukawa couplings and the gauge coupling is described in terms of a bounded
potential, which makes it possible to draw a number of non-trivial conclusions
concerning the asymptotic structure of the theory. A classification of possible
flow patterns is given.
|
[
{
"created": "Fri, 15 Jul 1994 12:12:36 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Skarke",
"Harald",
""
]
] |
The renormalization group flow in a general renormalizable gauge theory with a simple gauge group in 3+1 dimensions is analyzed. The flow of the ratios of the Yukawa couplings and the gauge coupling is described in terms of a bounded potential, which makes it possible to draw a number of non-trivial conclusions concerning the asymptotic structure of the theory. A classification of possible flow patterns is given.
| 7.369153
| 6.359306
| 6.682622
| 5.963678
| 6.566527
| 6.345947
| 6.614618
| 6.321327
| 6.357933
| 7.267157
| 6.429935
| 6.348687
| 6.812033
| 6.309159
| 6.530078
| 6.363323
| 6.415714
| 6.282444
| 6.407473
| 6.580211
| 6.443938
|
1305.5705
|
Florian Gautier
|
Florian Gautier and Julien Serreau
|
Infrared dynamics in de Sitter space from Schwinger-Dyson equations
|
9 pages, 3 figures, published version, some material has been added,
title changed
| null |
10.1016/j.physletb.2013.10.072
| null |
hep-th gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the two-point correlator of an O(N) scalar field with quartic
self-coupling in de Sitter space. For light fields in units of the expansion
rate, perturbation theory is plagued by large logarithmic terms for
superhorizon momenta. We show that a proper treatment of the infinite series of
self-energy insertions through the Schwinger-Dyson equations resums these
infrared logarithms into well defined power laws. We provide an exact
analytical solution of the Schwinger-Dyson equations for infrared momenta when
the self-energy is computed at two-loop order. The obtained correlator exhibits
a rich structure with a superposition of free-field-like power laws. We extract
mass and field-strength renormalization factors from the asymptotic infrared
behavior. The latter are nonperturbative in the coupling in the case of a
vanishing tree-level mass.
|
[
{
"created": "Fri, 24 May 2013 12:09:22 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Nov 2013 13:39:15 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Gautier",
"Florian",
""
],
[
"Serreau",
"Julien",
""
]
] |
We study the two-point correlator of an O(N) scalar field with quartic self-coupling in de Sitter space. For light fields in units of the expansion rate, perturbation theory is plagued by large logarithmic terms for superhorizon momenta. We show that a proper treatment of the infinite series of self-energy insertions through the Schwinger-Dyson equations resums these infrared logarithms into well defined power laws. We provide an exact analytical solution of the Schwinger-Dyson equations for infrared momenta when the self-energy is computed at two-loop order. The obtained correlator exhibits a rich structure with a superposition of free-field-like power laws. We extract mass and field-strength renormalization factors from the asymptotic infrared behavior. The latter are nonperturbative in the coupling in the case of a vanishing tree-level mass.
| 7.490611
| 7.880219
| 8.614154
| 7.121336
| 7.630824
| 7.87334
| 7.281358
| 7.280885
| 7.395609
| 8.124104
| 7.265797
| 7.565498
| 7.722112
| 7.386646
| 7.633725
| 7.310096
| 7.54978
| 7.549077
| 7.592036
| 7.839989
| 7.283499
|
2212.09787
|
Arpit Das
|
Arpit Das and Nabil Iqbal and Napat Poovuttikul
|
Towards an effective action for chiral magnetohydrodynamics
|
revtex, 29+6 pages
| null | null | null |
hep-th astro-ph.HE hep-ph nucl-th physics.flu-dyn
|
http://creativecommons.org/licenses/by/4.0/
|
We consider chiral magnetohydrodynamics, i.e. a finite-temperature system
where an axial $U(1)$ current is not conserved due to an Adler-Bell-Jackiw
anomaly saturated by the dynamical operator $F_{\mu\nu} \tilde{F}^{\mu\nu}$. We
express this anomaly in terms of the 1-form symmetry associated with magnetic
flux conservation and study its realization at finite temperature. We present
Euclidean generating functional and dissipative action approaches to the
dynamics and reproduce some aspects of chiral MHD phenomenology from an
effective theory viewpoint, including the chiral separation and magnetic
effects. We also discuss the construction of non-invertible axial symmetry
defect operators in our formalism.
|
[
{
"created": "Mon, 19 Dec 2022 19:00:32 GMT",
"version": "v1"
}
] |
2022-12-21
|
[
[
"Das",
"Arpit",
""
],
[
"Iqbal",
"Nabil",
""
],
[
"Poovuttikul",
"Napat",
""
]
] |
We consider chiral magnetohydrodynamics, i.e. a finite-temperature system where an axial $U(1)$ current is not conserved due to an Adler-Bell-Jackiw anomaly saturated by the dynamical operator $F_{\mu\nu} \tilde{F}^{\mu\nu}$. We express this anomaly in terms of the 1-form symmetry associated with magnetic flux conservation and study its realization at finite temperature. We present Euclidean generating functional and dissipative action approaches to the dynamics and reproduce some aspects of chiral MHD phenomenology from an effective theory viewpoint, including the chiral separation and magnetic effects. We also discuss the construction of non-invertible axial symmetry defect operators in our formalism.
| 10.936871
| 9.625541
| 10.936036
| 9.75508
| 10.850163
| 10.482409
| 9.374223
| 10.207692
| 9.501019
| 12.541563
| 10.412522
| 10.798329
| 11.091343
| 10.514806
| 10.821721
| 10.636218
| 10.314183
| 10.646166
| 10.705711
| 11.24263
| 10.237823
|
1311.2040
|
Gabriel Flores-Hidalgo
|
F.A. Barone, G. Flores-Hidalgo and A.A Nogueira
|
External Sources in Lee-Wick Theories
|
16 pages, to appear in Phys. Rev. D
| null |
10.1103/PhysRevD.88.105031
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate some peculiar aspects of the so called Lee-Wick
Electrodynamics focusing on physical effects produced by the presence of
sources for the vector field. The interactions between stationary charges
distributions along parallel branes with arbitrary dimensions is investigated
and the energy of a point charge is discussed. Some physical phenomena produced
in the vicinity of a Dirac string are also investigated. We consider the
Lee-Wick theory for the scalar field, where it can emerge some interesting
effects with no counterpart for the vector gauge field theory.
|
[
{
"created": "Fri, 8 Nov 2013 19:20:56 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Barone",
"F. A.",
""
],
[
"Flores-Hidalgo",
"G.",
""
],
[
"Nogueira",
"A. A",
""
]
] |
We investigate some peculiar aspects of the so called Lee-Wick Electrodynamics focusing on physical effects produced by the presence of sources for the vector field. The interactions between stationary charges distributions along parallel branes with arbitrary dimensions is investigated and the energy of a point charge is discussed. Some physical phenomena produced in the vicinity of a Dirac string are also investigated. We consider the Lee-Wick theory for the scalar field, where it can emerge some interesting effects with no counterpart for the vector gauge field theory.
| 22.441408
| 17.788776
| 21.647343
| 18.827042
| 18.994446
| 21.469944
| 18.245388
| 19.491581
| 18.241074
| 24.668158
| 19.195351
| 18.747049
| 20.321829
| 19.745926
| 20.129009
| 19.965778
| 19.772734
| 18.885933
| 19.178978
| 19.454151
| 19.740093
|
2310.07559
|
Juan Laurnagaray
|
Gaston Giribet, Juan Laurnagaray, Bryan Malpartida, Julio Oliva,
Osvaldo Santill\'an
|
Field response in the near-horizon limit of near-extremal 5-dimensional
black holes
|
23 pages, 1 figure
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the scalar probe in the near-horizon region of near-extremal
five-dimensional black holes and the problem of reattaching the asymptotic
region. We consider the example of a Myers-Perry black hole with two
independent angular momenta, for which the problem can be solved analytically
in terms of the Riemann P-symbols and the confluent Heun special function. By
prescribing leaking boundary conditions similar to those considered in the
context of Kerr/CFT correspondence, we implement the attachment of the
asymptotically flat region, matching the solutions in the near-horizon
Myers-Perry geometry with those in the far region. This provides us with a set
of explicit expressions for the field response in the background of
five-dimensional stationary black holes near extremality, which enables us to
highlight qualitative differences with the analogous problem in four
dimensions.
|
[
{
"created": "Wed, 11 Oct 2023 15:04:06 GMT",
"version": "v1"
}
] |
2023-10-12
|
[
[
"Giribet",
"Gaston",
""
],
[
"Laurnagaray",
"Juan",
""
],
[
"Malpartida",
"Bryan",
""
],
[
"Oliva",
"Julio",
""
],
[
"Santillán",
"Osvaldo",
""
]
] |
We study the scalar probe in the near-horizon region of near-extremal five-dimensional black holes and the problem of reattaching the asymptotic region. We consider the example of a Myers-Perry black hole with two independent angular momenta, for which the problem can be solved analytically in terms of the Riemann P-symbols and the confluent Heun special function. By prescribing leaking boundary conditions similar to those considered in the context of Kerr/CFT correspondence, we implement the attachment of the asymptotically flat region, matching the solutions in the near-horizon Myers-Perry geometry with those in the far region. This provides us with a set of explicit expressions for the field response in the background of five-dimensional stationary black holes near extremality, which enables us to highlight qualitative differences with the analogous problem in four dimensions.
| 8.654091
| 8.509938
| 9.046514
| 8.443848
| 9.54262
| 9.448509
| 8.622648
| 8.716871
| 8.292813
| 9.413999
| 8.201976
| 8.675753
| 8.893563
| 8.488955
| 8.472017
| 8.519782
| 8.523202
| 8.353493
| 8.511702
| 8.597893
| 8.252993
|
1907.03820
|
Oleg Lunin
|
Oleg Lunin
|
Excitations of the Myers-Perry Black Holes
|
56 pages
| null |
10.1007/JHEP10(2019)030
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate separability of the dynamical equations for all p-form fluxes
in the Myers-Perry-(A)dS geometry, extending the earlier results for
electromagnetic field. In the physically important cases of p=(1,2,3,4), we
explicitly write the ODEs governing the dynamics of separable solutions.
|
[
{
"created": "Mon, 8 Jul 2019 19:28:54 GMT",
"version": "v1"
}
] |
2020-01-08
|
[
[
"Lunin",
"Oleg",
""
]
] |
We demonstrate separability of the dynamical equations for all p-form fluxes in the Myers-Perry-(A)dS geometry, extending the earlier results for electromagnetic field. In the physically important cases of p=(1,2,3,4), we explicitly write the ODEs governing the dynamics of separable solutions.
| 16.807144
| 12.243382
| 12.233027
| 12.260933
| 13.337034
| 10.930755
| 11.974435
| 11.469152
| 13.1366
| 15.727636
| 13.247232
| 13.322622
| 13.58956
| 13.081564
| 13.285966
| 13.126072
| 13.337498
| 13.048388
| 13.255823
| 14.454473
| 13.248508
|
2211.11791
|
Simon Caron-Huot
|
Simon Caron-Huot
|
Holographic cameras: an eye for the bulk
|
42 pages + 3 appendices, 10 figures, 1 "movie". v2: references added,
typos fixed
| null |
10.1007/JHEP03(2023)047
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider four-point correlators in an excited quantum state of a field
theory. We show that, when the theory and state are holographic, a judiciously
applied Fourier transform produces high-quality images of point-like bulk
particles, revealing the geometry in which they move. For translation-invariant
states, the bulk Einstein's equations amount to local differential equations on
correlator data. In theories or states that are not holographic, images are too
blurry to extract a bulk geometry. We verify this for gauge theories at various
couplings and the 3D Ising model by adapting formulas from conformal Regge
theory.
|
[
{
"created": "Mon, 21 Nov 2022 19:00:17 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Feb 2024 14:00:13 GMT",
"version": "v2"
}
] |
2024-02-21
|
[
[
"Caron-Huot",
"Simon",
""
]
] |
We consider four-point correlators in an excited quantum state of a field theory. We show that, when the theory and state are holographic, a judiciously applied Fourier transform produces high-quality images of point-like bulk particles, revealing the geometry in which they move. For translation-invariant states, the bulk Einstein's equations amount to local differential equations on correlator data. In theories or states that are not holographic, images are too blurry to extract a bulk geometry. We verify this for gauge theories at various couplings and the 3D Ising model by adapting formulas from conformal Regge theory.
| 18.759405
| 19.985138
| 18.614534
| 17.73103
| 20.261772
| 17.436152
| 19.391525
| 17.70055
| 17.967335
| 21.084295
| 17.101442
| 18.844717
| 19.222994
| 17.590025
| 19.290676
| 18.401808
| 18.739685
| 18.065535
| 18.087639
| 19.183138
| 17.84614
|
1501.00373
|
Bin Chen
|
Bin Chen and Jie-qiang Wu
|
R\'enyi Entropy of Free Compact Boson on Torus
|
16 pages. Improved arguments, added reference
|
Phys. Rev. D 91, 105013 (2015)
|
10.1103/PhysRevD.91.105013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we reconsider the single interval R\'enyi entropy of a free
compact scalar on a torus. In this case, the contribution to the entropy could
be decomposed into classical part and quantum part. The classical part includes
the contribution from all the saddle points, while the quantum part is
universal. After considering a different monodromy condition from the one in
the literature, we re-evaluate the classical part of the R\'enyi entropy.
Moreover, we expand the entropy in the low temperature limit and find the
leading thermal correction term which is consistent with the universal behavior
suggested in arXiv:1403.0578 [hep-th]. Furthermore we investigate the large
interval behavior of the entanglement entropy and show that the universal
relation between the entanglement entropy and thermal entropy holds in this
case.
|
[
{
"created": "Fri, 2 Jan 2015 09:43:28 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Jan 2015 09:59:47 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Chen",
"Bin",
""
],
[
"Wu",
"Jie-qiang",
""
]
] |
In this paper, we reconsider the single interval R\'enyi entropy of a free compact scalar on a torus. In this case, the contribution to the entropy could be decomposed into classical part and quantum part. The classical part includes the contribution from all the saddle points, while the quantum part is universal. After considering a different monodromy condition from the one in the literature, we re-evaluate the classical part of the R\'enyi entropy. Moreover, we expand the entropy in the low temperature limit and find the leading thermal correction term which is consistent with the universal behavior suggested in arXiv:1403.0578 [hep-th]. Furthermore we investigate the large interval behavior of the entanglement entropy and show that the universal relation between the entanglement entropy and thermal entropy holds in this case.
| 8.863703
| 6.775632
| 7.248629
| 6.290819
| 6.796443
| 6.455106
| 6.205939
| 6.21653
| 6.24522
| 7.768068
| 6.602461
| 6.486827
| 6.805875
| 6.399237
| 6.604599
| 6.555819
| 6.337713
| 6.577739
| 6.386274
| 6.691426
| 6.553289
|
hep-th/0203186
|
Chong-Sun Chu
|
Chong-Sun Chu and Pei-Ming Ho
|
Noncommutative D-brane and Open String in pp-wave Background with
B-field
|
20 pages. v2: typos corrected, references fixed. more comments on
p.2, p.9 and p.16 v3: version to appear in NPB
|
Nucl.Phys. B636 (2002) 141-158
|
10.1016/S0550-3213(02)00360-7
| null |
hep-th
| null |
The open string ending on a D-brane with a constant B-field in a pp-wave
Ramond-Ramond background is exactly solvable. The theory is controlled by three
dimensionful parameters: alpha', the mass parameter (RR background times the
lightcone momentum) and the B-field. We quantize the open string theory and
determine the full noncommutative structure. In particular, we find a fully
noncommutative phase space whose noncommutativity depends on all these
parameters. The lightcone Hamiltionian is obtained, and as a consequence of the
nontrivial commutation relations of the theory, new features of the spectrum
are noted. Various scaling limits of the string results are considered.
Physical implications are discussed.
|
[
{
"created": "Wed, 20 Mar 2002 20:53:06 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Mar 2002 12:27:10 GMT",
"version": "v2"
},
{
"created": "Wed, 29 May 2002 20:39:43 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Chu",
"Chong-Sun",
""
],
[
"Ho",
"Pei-Ming",
""
]
] |
The open string ending on a D-brane with a constant B-field in a pp-wave Ramond-Ramond background is exactly solvable. The theory is controlled by three dimensionful parameters: alpha', the mass parameter (RR background times the lightcone momentum) and the B-field. We quantize the open string theory and determine the full noncommutative structure. In particular, we find a fully noncommutative phase space whose noncommutativity depends on all these parameters. The lightcone Hamiltionian is obtained, and as a consequence of the nontrivial commutation relations of the theory, new features of the spectrum are noted. Various scaling limits of the string results are considered. Physical implications are discussed.
| 9.232974
| 9.780375
| 10.161062
| 8.633967
| 9.318044
| 8.896605
| 9.354627
| 8.696109
| 8.677279
| 11.663856
| 8.863251
| 8.728043
| 9.66748
| 8.610019
| 8.646813
| 8.683384
| 8.74441
| 8.993488
| 8.732008
| 9.493352
| 8.91861
|
2310.15715
|
A. Yu. Petrov
|
A. C. Lehum, J. R. Nascimento, A. Yu. Petrov
|
Two-loop corrections to the Carroll-Field-Jackiw term in a CPT-odd
Lorentz-violating scalar QED
|
11 pages, version accepted to PLB
|
Phys. Lett. B850, 138519 (2024)
|
10.1016/j.physletb.2024.138519
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this study, we systematically calculate one-loop corrections to the
Lorentz-violating vertices within the framework of CPT-odd Quantum
Electrodynamics, encompassing scalar and photon fields in arbitrary gauge.
Additionally, we ascertain the finite two-loop corrections to the
Carroll-Field-Jackiw term. Furthermore, we analyze the UV divergent component
of the two-loop Lorentz-violating correction in the self-energy of the scalar
field.
|
[
{
"created": "Tue, 24 Oct 2023 10:45:54 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Feb 2024 14:20:47 GMT",
"version": "v2"
}
] |
2024-02-14
|
[
[
"Lehum",
"A. C.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] |
In this study, we systematically calculate one-loop corrections to the Lorentz-violating vertices within the framework of CPT-odd Quantum Electrodynamics, encompassing scalar and photon fields in arbitrary gauge. Additionally, we ascertain the finite two-loop corrections to the Carroll-Field-Jackiw term. Furthermore, we analyze the UV divergent component of the two-loop Lorentz-violating correction in the self-energy of the scalar field.
| 11.692258
| 9.090107
| 10.393185
| 8.570302
| 9.097268
| 9.077898
| 8.744726
| 8.094876
| 8.646817
| 10.405425
| 8.074769
| 8.726592
| 10.097198
| 8.953282
| 9.235185
| 9.419153
| 8.633394
| 9.061333
| 8.93783
| 9.631433
| 9.435219
|
2211.13270
|
Allen Stern
|
A. Pinzul and A. Stern
|
Noncommutative $AdS_2$ I: Exact solutions
|
To be published in "Particles, Fields and Topology: Celebrating A.P.
Balachandran", a Festschrift volume for A.P. Balachandran
| null |
10.1142/9789811270437_0015
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the exact solutions of both, massless and massive, scalar field
theory on the noncommutative $AdS_2$. We also discuss some important limits in
order to compare with known results.
|
[
{
"created": "Wed, 23 Nov 2022 19:35:50 GMT",
"version": "v1"
}
] |
2023-08-08
|
[
[
"Pinzul",
"A.",
""
],
[
"Stern",
"A.",
""
]
] |
We study the exact solutions of both, massless and massive, scalar field theory on the noncommutative $AdS_2$. We also discuss some important limits in order to compare with known results.
| 11.145011
| 8.539205
| 8.861286
| 8.295134
| 8.023499
| 7.78741
| 7.946232
| 7.815822
| 7.636262
| 8.29249
| 8.069601
| 9.310251
| 9.331716
| 8.68816
| 8.66614
| 8.769909
| 8.926756
| 8.687596
| 8.651045
| 9.071771
| 8.812747
|
1812.03184
|
Mark Hertzberg
|
Mark P. Hertzberg, McCullen Sandora, Mark Trodden
|
Quantum Fine-Tuning in Stringy Quintessence Models
|
19 pages, 4 figures. V2: Updated references and minor changes. V3:
Updated towards version published in PLB
|
Phys. Lett. B 797 (2019)
|
10.1016/j.physletb.2019.134878
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the extent to which quintessence models for dark energy are
fine-tuned in the context of recent swampland conjectures. In particular, the
issue is whether there is a double fine-tuning in which both $V$ and $|\nabla
V|$ are fine-tuned, or whether there is only a single fine-tuning due to the
relation $|\nabla V|\sim V/M_{pl}$ arising naturally. We find that indeed this
relation arises naturally in simple string compactifications for some scalars,
such as the dilaton and volume modulus, when treated classically. However, we
find that quantum effects can spoil this natural relation, unless the scalar is
conformally coupled to the matter sector. Furthermore, it is well known that
such conformal couplings are generically ruled out by fifth force tests. To
avoid these fifth forces, an interesting proposal is to assume the scalar
(quintessence) only couples to the hidden sector. However, we then find quantum
corrections to $V$ from visible sector Standard Model particles generically
spoil the relation. A possible way out of all these problems is to have the
scalar conformally coupled to a dark sector that is an exact copy of the
Standard Model. This ensures the relation $|\nabla V|\sim V/M_{pl}$ is
maintained naturally even when matter particles run in the loop. However, we
find that quantum corrections from quintessons or gravitons in the loop spoil
the relation if the effective theory has a cutoff greater than $\sim 0.1$ GeV.
|
[
{
"created": "Fri, 7 Dec 2018 19:02:52 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2019 22:28:34 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Sep 2019 18:55:47 GMT",
"version": "v3"
}
] |
2019-09-06
|
[
[
"Hertzberg",
"Mark P.",
""
],
[
"Sandora",
"McCullen",
""
],
[
"Trodden",
"Mark",
""
]
] |
We investigate the extent to which quintessence models for dark energy are fine-tuned in the context of recent swampland conjectures. In particular, the issue is whether there is a double fine-tuning in which both $V$ and $|\nabla V|$ are fine-tuned, or whether there is only a single fine-tuning due to the relation $|\nabla V|\sim V/M_{pl}$ arising naturally. We find that indeed this relation arises naturally in simple string compactifications for some scalars, such as the dilaton and volume modulus, when treated classically. However, we find that quantum effects can spoil this natural relation, unless the scalar is conformally coupled to the matter sector. Furthermore, it is well known that such conformal couplings are generically ruled out by fifth force tests. To avoid these fifth forces, an interesting proposal is to assume the scalar (quintessence) only couples to the hidden sector. However, we then find quantum corrections to $V$ from visible sector Standard Model particles generically spoil the relation. A possible way out of all these problems is to have the scalar conformally coupled to a dark sector that is an exact copy of the Standard Model. This ensures the relation $|\nabla V|\sim V/M_{pl}$ is maintained naturally even when matter particles run in the loop. However, we find that quantum corrections from quintessons or gravitons in the loop spoil the relation if the effective theory has a cutoff greater than $\sim 0.1$ GeV.
| 7.128621
| 7.938894
| 6.501309
| 6.886508
| 7.368354
| 7.397184
| 7.183048
| 7.038683
| 6.704234
| 7.197784
| 6.836584
| 6.903955
| 6.999866
| 6.968267
| 6.954875
| 7.179889
| 7.00025
| 6.906625
| 7.097606
| 7.237887
| 6.806269
|
hep-th/0208194
|
Allen C. Hirshfeld
|
Allen C. Hirshfeld, Peter Henselder
|
Star products and perturbative quantum field theory
|
12 pages
|
Annals Phys. 298 (2002) 382-393
|
10.1006/aphy.2002.6251
|
DO-TH 02/13
|
hep-th
| null |
We discuss the application of the deformation quantization approach to
perturbative quantum field theory. We show that the various forms of Wick's
theorem are a direct consequence of the structure of the star products. We
derive the scattering function for a free scalar field in interaction with a
spacetime-dependent source. We show that the translation to operator formalism
reproduces the known relations which lead to the derivation of the Feynman
rules.
|
[
{
"created": "Tue, 27 Aug 2002 13:16:48 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Hirshfeld",
"Allen C.",
""
],
[
"Henselder",
"Peter",
""
]
] |
We discuss the application of the deformation quantization approach to perturbative quantum field theory. We show that the various forms of Wick's theorem are a direct consequence of the structure of the star products. We derive the scattering function for a free scalar field in interaction with a spacetime-dependent source. We show that the translation to operator formalism reproduces the known relations which lead to the derivation of the Feynman rules.
| 9.357265
| 9.161273
| 9.766849
| 8.742318
| 8.647426
| 9.188397
| 8.459294
| 9.162671
| 8.68226
| 9.672549
| 8.521135
| 8.051502
| 8.85658
| 8.410067
| 8.499283
| 8.340731
| 8.326873
| 8.094782
| 8.186237
| 8.678785
| 7.984745
|
2305.00865
|
Giorgio Di Russo
|
Massimo Bianchi, Carlo Di Benedetto, Giorgio Di Russo, Giuseppe Sudano
|
Charge instability of JMaRT geometries
| null | null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We perform a detailed study of linear perturbations of the JMaRT family of
non-BPS smooth horizonless solutions of type IIB supergravity beyond the
near-decoupling limit. In addition to the unstable quasi normal modes (QNMs)
responsible for the ergo- region instability, already studied in the
literature, we find a new class of `charged' unstable modes with positive
imaginary part, that can be interpreted in terms of the emission of charged
(scalar) quanta with non zero KK momentum. We use both matched asymptotic
expansions and numerical integration methods. Moreover, we exploit the recently
discovered correspondence between JMaRT perturbation theory, governed by a
Reduced Confluent Heun Equation, and the quantum Seiberg-Witten (SW) curve of
$\mathcal{N} = 2$ SYM theory with gauge group SU(2) and $N_f = (0,2)$ flavours.
|
[
{
"created": "Mon, 1 May 2023 15:07:01 GMT",
"version": "v1"
}
] |
2023-05-02
|
[
[
"Bianchi",
"Massimo",
""
],
[
"Di Benedetto",
"Carlo",
""
],
[
"Di Russo",
"Giorgio",
""
],
[
"Sudano",
"Giuseppe",
""
]
] |
We perform a detailed study of linear perturbations of the JMaRT family of non-BPS smooth horizonless solutions of type IIB supergravity beyond the near-decoupling limit. In addition to the unstable quasi normal modes (QNMs) responsible for the ergo- region instability, already studied in the literature, we find a new class of `charged' unstable modes with positive imaginary part, that can be interpreted in terms of the emission of charged (scalar) quanta with non zero KK momentum. We use both matched asymptotic expansions and numerical integration methods. Moreover, we exploit the recently discovered correspondence between JMaRT perturbation theory, governed by a Reduced Confluent Heun Equation, and the quantum Seiberg-Witten (SW) curve of $\mathcal{N} = 2$ SYM theory with gauge group SU(2) and $N_f = (0,2)$ flavours.
| 10.051849
| 9.428532
| 10.984766
| 8.550813
| 10.026008
| 9.459306
| 9.548147
| 8.554426
| 8.572434
| 10.451234
| 8.498351
| 8.880487
| 9.2171
| 8.518131
| 8.807453
| 9.271235
| 9.458735
| 8.979947
| 8.695292
| 9.245228
| 8.608434
|
hep-th/9809078
|
Paul Watts
|
Paul Watts (Dublin Institute for Advanced Studies)
|
Ward Identities and Anomalies in Pure W_4 Gravity
|
19 pages (in A4), LaTeX, uses amssymb.sty Some notation changes,
references added and expanded explanations
|
Nucl.Phys. B545 (1999) 677-693
|
10.1016/S0550-3213(99)00092-9
|
DIAS-STP-98-11
|
hep-th
| null |
W_4 gravity is treated algebraically, represented by a set of transformations
on classical fields. The Ward identities of the theory are determined by
requiring the algebra to close. The general forms for the anomalies are found
by looking for solutions to the Wess-Zumino consistency conditions, and some
specific cases are considered.
|
[
{
"created": "Fri, 11 Sep 1998 11:06:10 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Feb 1999 17:33:13 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Watts",
"Paul",
"",
"Dublin Institute for Advanced Studies"
]
] |
W_4 gravity is treated algebraically, represented by a set of transformations on classical fields. The Ward identities of the theory are determined by requiring the algebra to close. The general forms for the anomalies are found by looking for solutions to the Wess-Zumino consistency conditions, and some specific cases are considered.
| 16.769156
| 13.255762
| 14.656816
| 13.785573
| 11.570031
| 11.981107
| 13.772669
| 11.691344
| 12.083503
| 16.219521
| 12.569508
| 12.192595
| 13.732799
| 12.232091
| 12.2829
| 11.934923
| 11.89513
| 11.930614
| 12.388073
| 13.738657
| 12.917821
|
hep-th/9401091
|
Martin Rocek
|
I.T. Ivanov, U. Lindstrom and M. Rocek
|
New N=4 Superfields and Sigma-models
|
11 pages, latex
|
Phys.Lett. B328 (1994) 49-54
|
10.1016/0370-2693(94)90426-X
| null |
hep-th
| null |
In this note, we construct new representations of D=2, N=4 supersymmetry
which do not involve chiral or twisted chiral multiplets. These multiplets may
make it possible to circumvent no-go theorems about N=4 superspace formulations
of WZWN-models.
|
[
{
"created": "Wed, 19 Jan 1994 18:38:04 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Ivanov",
"I. T.",
""
],
[
"Lindstrom",
"U.",
""
],
[
"Rocek",
"M.",
""
]
] |
In this note, we construct new representations of D=2, N=4 supersymmetry which do not involve chiral or twisted chiral multiplets. These multiplets may make it possible to circumvent no-go theorems about N=4 superspace formulations of WZWN-models.
| 9.754112
| 7.875258
| 10.953074
| 7.85348
| 8.547285
| 7.324981
| 9.010115
| 7.654709
| 7.373999
| 11.655627
| 7.139659
| 7.648361
| 9.049989
| 7.736342
| 8.067839
| 7.7788
| 7.639148
| 7.54073
| 7.919
| 8.708832
| 7.348697
|
1910.05352
|
Marius Gerbershagen
|
Johanna Erdmenger and Marius Gerbershagen
|
Entwinement as a possible alternative to complexity
|
32 pages, 3 figures, v2: references added, clarified arguments of
sec. 5
| null |
10.1007/JHEP03(2020)082
| null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Unlike the standard entanglement entropy considered in the holographic
context, entwinement measures entanglement between degrees of freedom that are
not associated to a spatial subregion. Entwinement is defined for
two-dimensional CFTs with a discrete $\mathbb{Z}_N$ gauge symmetry. Since the
Hilbert space of these CFTs does not factorize into tensor products, even the
entanglement entropy associated to a spatial subregion cannot be defined as the
von Neumann entropy of a reduced density matrix. While earlier works considered
embedding the density matrix into a larger, factorizing Hilbert space, we apply
a gauge invariant approach by using a density matrix uniquely defined through
its relation to the local algebra of observables. We furthermore obtain a fully
gauge invariant definition of entwinement valid for general CFTs with
$\mathbb{Z}_N$ gauge symmetry in terms of all observables acting on the degrees
of freedom considered. Holographically, entwinement is dual to the length of
non-minimal geodesics present for conical defects or black holes. In this
context, we propose a definition of entwinement for thermal states dual to the
BTZ black hole. Our results show that "entwinement is enough" to describe the
full bulk geometry for the conical defect and provide strong hints that the
same holds true for the BTZ black hole. Thus, it provides an alternative to
holographic complexity for the theories considered.
|
[
{
"created": "Fri, 11 Oct 2019 18:00:09 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 2020 08:53:47 GMT",
"version": "v2"
}
] |
2020-04-22
|
[
[
"Erdmenger",
"Johanna",
""
],
[
"Gerbershagen",
"Marius",
""
]
] |
Unlike the standard entanglement entropy considered in the holographic context, entwinement measures entanglement between degrees of freedom that are not associated to a spatial subregion. Entwinement is defined for two-dimensional CFTs with a discrete $\mathbb{Z}_N$ gauge symmetry. Since the Hilbert space of these CFTs does not factorize into tensor products, even the entanglement entropy associated to a spatial subregion cannot be defined as the von Neumann entropy of a reduced density matrix. While earlier works considered embedding the density matrix into a larger, factorizing Hilbert space, we apply a gauge invariant approach by using a density matrix uniquely defined through its relation to the local algebra of observables. We furthermore obtain a fully gauge invariant definition of entwinement valid for general CFTs with $\mathbb{Z}_N$ gauge symmetry in terms of all observables acting on the degrees of freedom considered. Holographically, entwinement is dual to the length of non-minimal geodesics present for conical defects or black holes. In this context, we propose a definition of entwinement for thermal states dual to the BTZ black hole. Our results show that "entwinement is enough" to describe the full bulk geometry for the conical defect and provide strong hints that the same holds true for the BTZ black hole. Thus, it provides an alternative to holographic complexity for the theories considered.
| 7.201756
| 7.279664
| 7.892436
| 6.919926
| 7.753332
| 7.35549
| 7.023919
| 7.346109
| 7.286054
| 8.045106
| 7.417707
| 6.845077
| 7.08678
| 7.06891
| 7.137436
| 6.989556
| 7.00533
| 7.091921
| 6.847639
| 7.3125
| 6.809535
|
hep-th/0311248
|
Nikolay Pletnev
|
A.T. Banin, I.L. Buchbinder, N.G. Pletnev
|
Low-energy effective action in extended supersymmetric gauge theories
|
LaTeX, 6 p., Rinton style file attached. Based on the talk given by
I.L. Buchbinder at the International Conference "Quantum Field Theory Under
the Influence of External Conditions - QFEXT03", University of Oklahoma,
Norman, USA, September 15-19, 2003, to be appeared in the Proceedings.
References corrected
| null | null | null |
hep-th
| null |
We briefly review a recent progress in constructing the low-energy effective
action in ${\cal N}=2,4$ super Yang-Mills theories. Using superfield methods we
study the one- and two-loop contributions to the effective action in the
Coulomb and non-Abelian phases. General structure of low-energy corrections to
the effective action is discussed.
|
[
{
"created": "Wed, 26 Nov 2003 06:12:44 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Nov 2003 10:05:38 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Dec 2003 03:54:03 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Banin",
"A. T.",
""
],
[
"Buchbinder",
"I. L.",
""
],
[
"Pletnev",
"N. G.",
""
]
] |
We briefly review a recent progress in constructing the low-energy effective action in ${\cal N}=2,4$ super Yang-Mills theories. Using superfield methods we study the one- and two-loop contributions to the effective action in the Coulomb and non-Abelian phases. General structure of low-energy corrections to the effective action is discussed.
| 7.713706
| 5.317474
| 6.433274
| 5.976253
| 5.337862
| 5.590933
| 5.061987
| 4.82301
| 5.447406
| 7.850049
| 5.870107
| 6.074885
| 6.957186
| 6.495646
| 6.505988
| 6.188695
| 6.435146
| 6.246248
| 6.43685
| 6.824103
| 6.434901
|
hep-th/0109210
|
Thomas Branson
|
Thomas Branson and A. Rod Gover
|
A conformally invariant differential operator on Weyl tensor densities
|
17 pages, LaTeX
|
J.Geom.Phys. 42 (2002) 283-295
|
10.1016/S0393-0440(01)00086-9
| null |
hep-th
| null |
We derive a tensorial formula for a fourth-order conformally invariant
differential operator on conformal 4-manifolds. This operator is applied to
algebraic Weyl tensor densities of a certain conformal weight, and takes its
values in algebraic Weyl tensor densities of another weight. For oriented
manifolds, this operator reverses duality: For example in the Riemannian case,
it takes self-dual to anti-self-dual tensors and vice versa. We also examine
the place that this operator occupies in known results on the classification of
conformally invariant operators, and we examine some related operators.
|
[
{
"created": "Thu, 27 Sep 2001 14:16:33 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Branson",
"Thomas",
""
],
[
"Gover",
"A. Rod",
""
]
] |
We derive a tensorial formula for a fourth-order conformally invariant differential operator on conformal 4-manifolds. This operator is applied to algebraic Weyl tensor densities of a certain conformal weight, and takes its values in algebraic Weyl tensor densities of another weight. For oriented manifolds, this operator reverses duality: For example in the Riemannian case, it takes self-dual to anti-self-dual tensors and vice versa. We also examine the place that this operator occupies in known results on the classification of conformally invariant operators, and we examine some related operators.
| 9.422725
| 10.3197
| 9.7536
| 9.647557
| 9.647192
| 9.645688
| 11.619477
| 9.459263
| 8.929957
| 9.600212
| 9.33515
| 8.811522
| 8.779387
| 8.429799
| 8.652241
| 8.65996
| 8.731924
| 8.243225
| 8.924885
| 9.015272
| 8.414029
|
hep-th/9503220
|
James V. Steele
|
James V. Steele, Ajay Subramanian, and Ismail Zahed
|
General Correlation Functions in the Schwinger Model at Zero and Finite
Temperature
|
14 pages, LaTeX
|
Nucl.Phys. B452 (1995) 545-562
|
10.1016/0550-3213(95)00418-R
|
SUNY-NTG-94-35
|
hep-th hep-ph
| null |
The general correlations between massless fermions are calculated in the
Schwinger model at arbitrary temperature. The zero temperature calculations on
the plane are reviewed and clarified. Then the finite temperature fermionic
Green's function is computed and the results on the torus are compared to those
on the plane. It is concluded that a simpler way to calculate the finite
temperature results is to associate certain terms in the zero temperature
structure with their finite temperature counterparts.
|
[
{
"created": "Thu, 30 Mar 1995 23:41:00 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Steele",
"James V.",
""
],
[
"Subramanian",
"Ajay",
""
],
[
"Zahed",
"Ismail",
""
]
] |
The general correlations between massless fermions are calculated in the Schwinger model at arbitrary temperature. The zero temperature calculations on the plane are reviewed and clarified. Then the finite temperature fermionic Green's function is computed and the results on the torus are compared to those on the plane. It is concluded that a simpler way to calculate the finite temperature results is to associate certain terms in the zero temperature structure with their finite temperature counterparts.
| 13.806924
| 11.654452
| 11.657198
| 11.780437
| 11.86077
| 12.17049
| 11.467786
| 11.23111
| 11.618264
| 11.988401
| 11.289372
| 11.582072
| 11.892594
| 11.835649
| 12.219607
| 12.292618
| 12.221902
| 12.32226
| 11.939463
| 11.670872
| 12.181495
|
0804.1087
|
Michele Cirafici
|
Michele Cirafici, Annamaria Sinkovics, Richard J. Szabo
|
Instantons and Donaldson-Thomas Invariants
|
7 pages, To appear in the proceedings of the RTN workshop
"ForcesUniverse", Valencia, October 1-5 2007
|
Fortsch.Phys.56:849-855,2008
|
10.1002/prop.200810544
|
ITP-UU-08/21, SPIN-08-19, DAMTP-2008-26, HWM-08-2, EMPG-08-4
|
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review some recent progress in understanding the relation between a six
dimensional topological Yang-Mills theory and the enumerative geometry of
Calabi-Yau threefolds. The gauge theory localizes on generalized instanton
solutions and is conjecturally equivalent to Donaldson-Thomas theory. We
evaluate the partition function of the U(N) theory in its Coulomb branch on
flat space by employing equivariant localization techniques on its
noncommutative deformation. Geometrically this corresponds to a higher
dimensional generalization of the ADHM formalism. This formalism can be
extended to a generic toric Calabi-Yau.
|
[
{
"created": "Mon, 7 Apr 2008 17:28:38 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Cirafici",
"Michele",
""
],
[
"Sinkovics",
"Annamaria",
""
],
[
"Szabo",
"Richard J.",
""
]
] |
We review some recent progress in understanding the relation between a six dimensional topological Yang-Mills theory and the enumerative geometry of Calabi-Yau threefolds. The gauge theory localizes on generalized instanton solutions and is conjecturally equivalent to Donaldson-Thomas theory. We evaluate the partition function of the U(N) theory in its Coulomb branch on flat space by employing equivariant localization techniques on its noncommutative deformation. Geometrically this corresponds to a higher dimensional generalization of the ADHM formalism. This formalism can be extended to a generic toric Calabi-Yau.
| 8.540274
| 7.859822
| 9.93347
| 7.262452
| 7.060109
| 7.358682
| 7.179708
| 6.957367
| 7.336105
| 9.273711
| 7.306871
| 7.594976
| 8.266845
| 7.612438
| 7.681254
| 7.835314
| 7.763974
| 7.65865
| 7.527588
| 8.479935
| 7.691638
|
1208.3208
|
Markus Rummel
|
Jan Louis, Markus Rummel, Roberto Valandro and Alexander Westphal
|
Building an explicit de Sitter
|
61 pages, 6 figures
| null |
10.1007/JHEP10(2012)163
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct an explicit example of a de Sitter vacuum in type IIB string
theory that realizes the proposal of K\"ahler uplifting. As the large volume
limit in this method depends on the rank of the largest condensing gauge group
we carry out a scan of gauge group ranks over the Kreuzer-Skarke set of toric
Calabi-Yau threefolds. We find large numbers of models with the largest gauge
group factor easily exceeding a rank of one hundred. We construct a global
model with K\"ahler uplifting on a two-parameter model on
$\mathbb{CP}^4_{11169}$, by an explicit analysis from both the type IIB and
F-theory point of view. The explicitness of the construction lies in the
realization of a D7 brane configuration, gauge flux and RR and NS flux choices,
such that all known consistency conditions are met and the geometric moduli are
stabilized in a metastable de Sitter vacuum with spontaneous GUT scale
supersymmetry breaking driven by an F-term of the K\"ahler moduli.
|
[
{
"created": "Wed, 15 Aug 2012 20:13:02 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Nov 2012 19:28:50 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Louis",
"Jan",
""
],
[
"Rummel",
"Markus",
""
],
[
"Valandro",
"Roberto",
""
],
[
"Westphal",
"Alexander",
""
]
] |
We construct an explicit example of a de Sitter vacuum in type IIB string theory that realizes the proposal of K\"ahler uplifting. As the large volume limit in this method depends on the rank of the largest condensing gauge group we carry out a scan of gauge group ranks over the Kreuzer-Skarke set of toric Calabi-Yau threefolds. We find large numbers of models with the largest gauge group factor easily exceeding a rank of one hundred. We construct a global model with K\"ahler uplifting on a two-parameter model on $\mathbb{CP}^4_{11169}$, by an explicit analysis from both the type IIB and F-theory point of view. The explicitness of the construction lies in the realization of a D7 brane configuration, gauge flux and RR and NS flux choices, such that all known consistency conditions are met and the geometric moduli are stabilized in a metastable de Sitter vacuum with spontaneous GUT scale supersymmetry breaking driven by an F-term of the K\"ahler moduli.
| 7.666046
| 8.41597
| 10.468929
| 8.029181
| 9.30506
| 8.162366
| 7.691135
| 7.99279
| 7.918015
| 10.707018
| 7.762889
| 7.921301
| 8.134421
| 7.630191
| 7.631244
| 7.716407
| 7.811054
| 7.708274
| 7.732244
| 8.131208
| 7.500369
|
1510.08719
|
Jakub Gizbert-Studnicki
|
Jakub Gizbert-Studnicki
|
The effective action in four-dimensional CDT
|
PhD thesis, Jagiellonian University, July 2014, 133 pages
| null | null | null |
hep-th gr-qc hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present recent results concerning the measurement and analysis of the
effective action in four-dimensional Causal Dynamical Triangulations. The
action describes quantum fluctuations of the spatial volume of the CDT universe
(or alternatively the scale factor) after integrating out other degrees of
freedom. We use the covariance of volume fluctuations to measure and
parametrize the effective action inside the de Sitter phase, also called the C
phase. We show that the action is consistent with a simple discretization of
the minisuperspace action (with a reversed overall sign). We discuss possible
subleading corrections and show how to construct a more complicated effective
action comprising both integer and half-integer discrete proper time layers. We
introduce a new method of the effective action measurement based on the
transfer matrix. We show that the results of the new method are fully
consistent with the covariance matrix method inside the de Sitter phase. We use
the new method to measure the effective action in the small volume range and to
explain the behaviour of the stalk part of the CDT triangulations. Finally we
use the transfer matrix method to measure and parametrize the effective action
inside the A and B phases, and to analyze the phase transitions. The results
lead to an unexpected discovery of a new "bifurcation" phase separating the
"old" C and B phases. We analyze geometric properties of triangulations inside
the new phase and draw a new phase diagram.
|
[
{
"created": "Thu, 29 Oct 2015 14:48:29 GMT",
"version": "v1"
}
] |
2015-10-30
|
[
[
"Gizbert-Studnicki",
"Jakub",
""
]
] |
We present recent results concerning the measurement and analysis of the effective action in four-dimensional Causal Dynamical Triangulations. The action describes quantum fluctuations of the spatial volume of the CDT universe (or alternatively the scale factor) after integrating out other degrees of freedom. We use the covariance of volume fluctuations to measure and parametrize the effective action inside the de Sitter phase, also called the C phase. We show that the action is consistent with a simple discretization of the minisuperspace action (with a reversed overall sign). We discuss possible subleading corrections and show how to construct a more complicated effective action comprising both integer and half-integer discrete proper time layers. We introduce a new method of the effective action measurement based on the transfer matrix. We show that the results of the new method are fully consistent with the covariance matrix method inside the de Sitter phase. We use the new method to measure the effective action in the small volume range and to explain the behaviour of the stalk part of the CDT triangulations. Finally we use the transfer matrix method to measure and parametrize the effective action inside the A and B phases, and to analyze the phase transitions. The results lead to an unexpected discovery of a new "bifurcation" phase separating the "old" C and B phases. We analyze geometric properties of triangulations inside the new phase and draw a new phase diagram.
| 10.33963
| 10.603457
| 10.888288
| 9.87043
| 10.883813
| 10.982923
| 11.099297
| 10.698047
| 10.760098
| 12.659218
| 10.495086
| 10.567403
| 10.408539
| 10.542068
| 10.589269
| 10.884408
| 10.848895
| 10.71575
| 10.572778
| 10.703922
| 10.769336
|
hep-th/0010257
|
Jose Francisco Gomes
|
J.F. Gomes, E. P. Gueuvoghlanian, G.M. Sotkov and A.H. Zimerman
|
Classical Integrability of Non Abelian Affine Toda Models
|
talk given at the XXIII International Colloquium on Group Theoretical
Methods in Physics, Dubna, August 2000, 10 pages
| null | null | null |
hep-th
| null |
A class of non abelian affine Toda models is constructed in terms of the
axial and vector gauged WZW model. It is shown that the multivacua structure of
the potential together with non abelian nature of the zero grade subalgebra
allows soliton solutions with non trivial electric and topological charges.
Their zero curvature representation and the classical $r$-matrix are also
constructed in order to prove their classical integrability.
|
[
{
"created": "Fri, 27 Oct 2000 11:28:34 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gomes",
"J. F.",
""
],
[
"Gueuvoghlanian",
"E. P.",
""
],
[
"Sotkov",
"G. M.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
A class of non abelian affine Toda models is constructed in terms of the axial and vector gauged WZW model. It is shown that the multivacua structure of the potential together with non abelian nature of the zero grade subalgebra allows soliton solutions with non trivial electric and topological charges. Their zero curvature representation and the classical $r$-matrix are also constructed in order to prove their classical integrability.
| 13.392529
| 8.336059
| 14.754187
| 9.183642
| 11.178678
| 8.607986
| 8.967793
| 8.677802
| 9.269761
| 15.815189
| 9.749481
| 11.608086
| 12.704487
| 11.361789
| 11.307104
| 11.33229
| 10.807216
| 10.475169
| 10.640484
| 12.956966
| 10.739554
|
1404.0712
|
Fulvio Sbis\`a
|
Fulvio Sbis\`a and Kazuya Koyama
|
Perturbations of Nested Branes With Induced Gravity
|
50 pages, 2 figures
|
JCAP06(2014)029
|
10.1088/1475-7516/2014/06/029
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the behaviour of weak gravitational fields in models where a 4D
brane is embedded inside a 5D brane equipped with induced gravity, which in
turn is embedded in a 6D spacetime. We consider a specific regularization of
the branes internal structures where the 5D brane can be considered thin with
respect to the 4D one. We find exact solutions corresponding to pure tension
source configurations on the thick 4D brane, and study perturbations at first
order around these background solutions. To perform the perturbative analysis,
we adopt a bulk-based approach and we express the equations in terms of gauge
invariant and master variables using a 4D scalar-vector-tensor decomposition.
We then propose an ansatz on the behaviour of the perturbation fields when the
thickness of the 4D brane goes to zero, which corresponds to configurations
where gravity remains finite everywhere in the thin limit of the 4D brane. We
study the equations of motion using this ansatz, and show that they give rise
to a consistent set of differential equations in the thin limit, from which the
details of the internal structure of the 4D brane disappear. We conclude that
the thin limit of the "ribbon" 4D brane inside the (already thin) 5D brane is
well defined (at least when considering first order perturbations around pure
tension configurations), and that the gravitational field on the 4D brane
remains finite in the thin limit. We comment on the crucial role of the induced
gravity term on the 5D brane.
|
[
{
"created": "Wed, 2 Apr 2014 21:21:33 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jun 2014 11:46:40 GMT",
"version": "v2"
}
] |
2018-05-18
|
[
[
"Sbisà",
"Fulvio",
""
],
[
"Koyama",
"Kazuya",
""
]
] |
We study the behaviour of weak gravitational fields in models where a 4D brane is embedded inside a 5D brane equipped with induced gravity, which in turn is embedded in a 6D spacetime. We consider a specific regularization of the branes internal structures where the 5D brane can be considered thin with respect to the 4D one. We find exact solutions corresponding to pure tension source configurations on the thick 4D brane, and study perturbations at first order around these background solutions. To perform the perturbative analysis, we adopt a bulk-based approach and we express the equations in terms of gauge invariant and master variables using a 4D scalar-vector-tensor decomposition. We then propose an ansatz on the behaviour of the perturbation fields when the thickness of the 4D brane goes to zero, which corresponds to configurations where gravity remains finite everywhere in the thin limit of the 4D brane. We study the equations of motion using this ansatz, and show that they give rise to a consistent set of differential equations in the thin limit, from which the details of the internal structure of the 4D brane disappear. We conclude that the thin limit of the "ribbon" 4D brane inside the (already thin) 5D brane is well defined (at least when considering first order perturbations around pure tension configurations), and that the gravitational field on the 4D brane remains finite in the thin limit. We comment on the crucial role of the induced gravity term on the 5D brane.
| 6.56832
| 6.602079
| 6.830081
| 6.225741
| 6.597559
| 6.482623
| 6.690872
| 6.511363
| 6.37293
| 7.074767
| 6.316127
| 6.405588
| 6.531205
| 6.343778
| 6.328311
| 6.366658
| 6.549978
| 6.31334
| 6.546336
| 6.594796
| 6.402233
|
hep-th/0507198
|
Bert Janssen
|
Joke Adam, Ignacio A. Illan, Bert Janssen
|
On the gauge invariance and coordinate transformations of non-Abelian
D-brane actions
|
Latex, 13 pages
|
JHEP 0510 (2005) 022
|
10.1088/1126-6708/2005/10/022
|
KUL-TF/05-18, UG-FT-192/05, CAFPE-62/05
|
hep-th
| null |
We study the variations of the worldvolume fields in the non-Abelian action
for multiple D-branes. Using T-duality we find that the embedding scalars
transform non-trivially under NS-NS gauge transformations as \delta X ~ [X, X]
and prove that the non-Abelian Chern-Simons action is invariant under these
transformations. Given that T-duality relates the (part of the) NS-NS
transformation with (part of the) general coordinate transformations, we can
get some insight in the structure of non-Abelian coordinate transformations.
|
[
{
"created": "Wed, 20 Jul 2005 15:23:09 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Adam",
"Joke",
""
],
[
"Illan",
"Ignacio A.",
""
],
[
"Janssen",
"Bert",
""
]
] |
We study the variations of the worldvolume fields in the non-Abelian action for multiple D-branes. Using T-duality we find that the embedding scalars transform non-trivially under NS-NS gauge transformations as \delta X ~ [X, X] and prove that the non-Abelian Chern-Simons action is invariant under these transformations. Given that T-duality relates the (part of the) NS-NS transformation with (part of the) general coordinate transformations, we can get some insight in the structure of non-Abelian coordinate transformations.
| 10.133605
| 9.240495
| 9.788013
| 8.671583
| 8.936164
| 8.15192
| 9.215675
| 8.43422
| 8.209314
| 11.371196
| 8.58086
| 8.765463
| 9.826921
| 8.809896
| 9.202891
| 9.06693
| 8.372882
| 9.004647
| 8.796185
| 9.824359
| 9.087953
|
hep-th/0001072
|
Yonatan Zunger
|
Yonatan Zunger (Dept. of Physics, Stanford University)
|
Twistors and Actions on Coset Manifolds
|
10 pages; section 2 rewritten for clarity. To appear in Phys. Rev. D
|
Phys.Rev. D62 (2000) 024030
|
10.1103/PhysRevD.62.024030
| null |
hep-th
| null |
Particle and string actions on coset spaces typically lack a quadratic
kinetic term, making their quantization difficult. We define a notion of
twistors on these spaces, which are hypersurfaces in a vector space that
transform linearly under the isometry group of the coset. By associating the
points of the coset space with these hypersurfaces, and the internal
coordinates of these hypersurfaces with momenta, it is possible to construct
manifestly symmetric actions with leading quadratic terms. We give a general
algorithm and work out the case of a particle on AdS_p explicitly. In this
case, the resulting action is a world-line gauge theory with sources, (the
gauge group depending on p) which is equivalent to a nonlocal world-line
sigma-model.
|
[
{
"created": "Wed, 12 Jan 2000 00:04:58 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Mar 2000 17:35:37 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Zunger",
"Yonatan",
"",
"Dept. of Physics, Stanford University"
]
] |
Particle and string actions on coset spaces typically lack a quadratic kinetic term, making their quantization difficult. We define a notion of twistors on these spaces, which are hypersurfaces in a vector space that transform linearly under the isometry group of the coset. By associating the points of the coset space with these hypersurfaces, and the internal coordinates of these hypersurfaces with momenta, it is possible to construct manifestly symmetric actions with leading quadratic terms. We give a general algorithm and work out the case of a particle on AdS_p explicitly. In this case, the resulting action is a world-line gauge theory with sources, (the gauge group depending on p) which is equivalent to a nonlocal world-line sigma-model.
| 12.000604
| 10.83707
| 12.153058
| 10.301512
| 11.581014
| 12.011508
| 11.868032
| 11.590295
| 11.39615
| 12.449048
| 10.799877
| 10.703846
| 11.476823
| 11.021893
| 10.644858
| 11.28572
| 11.041156
| 10.874851
| 11.115513
| 11.734047
| 10.956419
|
2302.14049
|
William Harvey
|
William Harvey and Kristan Jensen
|
Eternal traversable wormholes in three dimensions
|
24 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider three-dimensional gravity with negative cosmological constant
coupled to a large number of light matter fields dual to relevant operators. By
imposing suitable boundary conditions on the matter fields we find eternal
traversable wormhole deformations of the BTZ black hole, leading to a
three-dimensional analogue of the AdS$_{2}$ eternal traversable wormhole found
by Maldacena and Qi. We further identify the field theory of boundary gravitons
in this setting, which we then use to compute the spectrum of gravitational
fluctuations.
|
[
{
"created": "Mon, 27 Feb 2023 18:57:59 GMT",
"version": "v1"
}
] |
2023-02-28
|
[
[
"Harvey",
"William",
""
],
[
"Jensen",
"Kristan",
""
]
] |
We consider three-dimensional gravity with negative cosmological constant coupled to a large number of light matter fields dual to relevant operators. By imposing suitable boundary conditions on the matter fields we find eternal traversable wormhole deformations of the BTZ black hole, leading to a three-dimensional analogue of the AdS$_{2}$ eternal traversable wormhole found by Maldacena and Qi. We further identify the field theory of boundary gravitons in this setting, which we then use to compute the spectrum of gravitational fluctuations.
| 8.423032
| 7.459334
| 9.198925
| 7.486696
| 8.157084
| 7.461298
| 7.680982
| 7.205188
| 7.517436
| 10.701708
| 7.153583
| 7.477874
| 7.873861
| 7.467739
| 7.875174
| 7.967001
| 7.189241
| 7.661681
| 7.7323
| 8.050548
| 7.908762
|
hep-th/0006150
|
Shogo Tanimura
|
Shogo Tanimura
|
Path Integrals on Riemannian Manifolds with Symmetry and Induced Gauge
Structure
|
20 pages, no figure
|
Int.J.Mod.Phys. A16 (2001) 1443-1462
|
10.1142/S0217751X01003159
| null |
hep-th
| null |
We formulate path integrals on any Riemannian manifold which admits the
action of a compact Lie group by isometric transformations. We consider a path
integral on a Riemannian manifold M on which a Lie group G acts isometrically.
Then we show that the path integral on M is reduced to a family of path
integrals on a quotient space Q=M/G and that the reduced path integrals are
completely classified by irreducible unitary representations of G. It is not
necessary to assume that the action of G on M is either free or transitive.
Hence our formulation is applicable to a wide class of manifolds, which
includes inhomogeneous spaces, and it covers all the inequivalent
quantizations. To describe the path integral on inhomogeneous space,
stratification geometry, which is a generalization of the concept of principal
fiber bundle, is necessarily introduced. Using it we show that the path
integral is expressed as a product of three factors; the rotational energy
amplitude, the vibrational energy amplitude, and the holonomy factor. When a
singular point arises in $ Q $, we determine the boundary condition of the path
integral kernel for a path which runs through the singularity.
|
[
{
"created": "Tue, 20 Jun 2000 14:56:01 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Aug 2000 08:45:49 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Jan 2001 10:12:21 GMT",
"version": "v3"
}
] |
2015-06-25
|
[
[
"Tanimura",
"Shogo",
""
]
] |
We formulate path integrals on any Riemannian manifold which admits the action of a compact Lie group by isometric transformations. We consider a path integral on a Riemannian manifold M on which a Lie group G acts isometrically. Then we show that the path integral on M is reduced to a family of path integrals on a quotient space Q=M/G and that the reduced path integrals are completely classified by irreducible unitary representations of G. It is not necessary to assume that the action of G on M is either free or transitive. Hence our formulation is applicable to a wide class of manifolds, which includes inhomogeneous spaces, and it covers all the inequivalent quantizations. To describe the path integral on inhomogeneous space, stratification geometry, which is a generalization of the concept of principal fiber bundle, is necessarily introduced. Using it we show that the path integral is expressed as a product of three factors; the rotational energy amplitude, the vibrational energy amplitude, and the holonomy factor. When a singular point arises in $ Q $, we determine the boundary condition of the path integral kernel for a path which runs through the singularity.
| 7.378257
| 6.534987
| 7.923521
| 7.065792
| 7.900622
| 7.882432
| 7.220011
| 6.87921
| 7.006962
| 7.656888
| 7.145693
| 7.093916
| 7.311165
| 6.979872
| 7.248035
| 7.254325
| 7.274871
| 7.14089
| 7.013313
| 7.34954
| 7.113648
|
1903.00327
|
Diego Fiorentini
|
D. Fiorentini
|
Study of the all orders multiplicative renormalizability of a local
matter confining Gribov-Zwanziger action in the MAG
|
28 pages. Some expressions and typos were corrected, discussions
added, arXiv admin note: text overlap with arXiv:1502.00562
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We address the issue of the all order multiplicative renormalizability of
$SU(2)$ Gribov-Zwanziger theories quantized in the maximal Abelian gauge in
presence of confined matter fields. The non-linear character of the maximal
Abelian gauge requires the introduction of quartic interaction terms in the
Faddeev-Popov ghosts as well as in the localizing Zwanziger fields, extended a
well known feature of this gauge. We show that, when scalar matter fields are
introduced, a second quartic interaction term between scalar fields,
Faddeev-Popov ghosts and Zwanziger-like fields naturally arises. A BRST
invariant action accounting for those quartic interaction terms is identified
and proven to be multiplicative renormalizable to all orders by means of the
algebraic renormalization procedure.
|
[
{
"created": "Wed, 27 Feb 2019 19:40:43 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 2019 18:47:33 GMT",
"version": "v2"
}
] |
2019-09-05
|
[
[
"Fiorentini",
"D.",
""
]
] |
We address the issue of the all order multiplicative renormalizability of $SU(2)$ Gribov-Zwanziger theories quantized in the maximal Abelian gauge in presence of confined matter fields. The non-linear character of the maximal Abelian gauge requires the introduction of quartic interaction terms in the Faddeev-Popov ghosts as well as in the localizing Zwanziger fields, extended a well known feature of this gauge. We show that, when scalar matter fields are introduced, a second quartic interaction term between scalar fields, Faddeev-Popov ghosts and Zwanziger-like fields naturally arises. A BRST invariant action accounting for those quartic interaction terms is identified and proven to be multiplicative renormalizable to all orders by means of the algebraic renormalization procedure.
| 8.34005
| 6.155602
| 8.527992
| 6.530509
| 7.17189
| 7.286615
| 7.698151
| 6.248971
| 6.571992
| 8.745378
| 6.250292
| 7.047484
| 8.145595
| 7.101061
| 7.549435
| 7.566504
| 7.419963
| 7.223281
| 7.402655
| 7.905889
| 7.156044
|
1206.2421
|
Yu Nakayama
|
Yu Nakayama
|
Intrinsic ambiguity in second order viscosity parameters in relativistic
hydrodynamics
|
5 pages
|
Int. J. Mod. Phys. A 27 (2012) 1250125
|
10.1142/S0217751X12501254
|
IPMU12-0117
|
hep-th physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that relativistic hydrodynamics in Minkowski space-time has intrinsic
ambiguity in second order viscosity parameters in the Landau-Lifshitz frame.
This stems from the possibility of improvements of energy-momentum tensor.
There exist at least two viscosity parameters which can be removed by using
this ambiguity in scale invariant hydrodynamics in (1+3) dimension, and
seemingly non-conformal hydrodynamic theories can be hiddenly conformal
invariant.
|
[
{
"created": "Tue, 12 Jun 2012 01:38:05 GMT",
"version": "v1"
}
] |
2012-10-08
|
[
[
"Nakayama",
"Yu",
""
]
] |
We show that relativistic hydrodynamics in Minkowski space-time has intrinsic ambiguity in second order viscosity parameters in the Landau-Lifshitz frame. This stems from the possibility of improvements of energy-momentum tensor. There exist at least two viscosity parameters which can be removed by using this ambiguity in scale invariant hydrodynamics in (1+3) dimension, and seemingly non-conformal hydrodynamic theories can be hiddenly conformal invariant.
| 14.701691
| 14.817409
| 15.339985
| 13.647992
| 14.207916
| 14.140292
| 14.280587
| 14.37933
| 14.082498
| 14.58354
| 13.928946
| 13.402045
| 13.29709
| 13.454506
| 13.712069
| 13.131978
| 13.433939
| 13.356101
| 13.238098
| 13.846757
| 13.809508
|
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