LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9901008

Nakwoo Kim

Orientifolds of Matrix theory and Noncommutative Geometry

17 pages, LaTeX, minor corrections, two references added, discussions slightly expanded, to appear in Phys. Rev. D

Phys.Rev.D59:126001,1999

10.1103/PhysRevD.59.126001

QMW-PH-98-44

hep-th

null

We study explicit solutions for orientifolds of Matrix theory compactified on noncommutative torus. As quotients of torus, cylinder, Klein bottle and M\"obius strip are applicable as orientifolds. We calculate the solutions using Connes, Douglas and Schwarz's projective module solution, and investigate twisted gauge bundle on quotient spaces as well. They are Yang-Mills theory on noncommutative torus with proper boundary conditions which define the geometry of the dual space.

[ { "created": "Mon, 4 Jan 1999 18:13:11 GMT", "version": "v1" }, { "created": "Mon, 15 Mar 1999 12:25:19 GMT", "version": "v2" } ]

2010-11-19

[ [ "Kim", "Nakwoo", "" ] ]

We study explicit solutions for orientifolds of Matrix theory compactified on noncommutative torus. As quotients of torus, cylinder, Klein bottle and M\"obius strip are applicable as orientifolds. We calculate the solutions using Connes, Douglas and Schwarz's projective module solution, and investigate twisted gauge bundle on quotient spaces as well. They are Yang-Mills theory on noncommutative torus with proper boundary conditions which define the geometry of the dual space.

14.19838

15.18426

16.262604

14.526297

14.427004

14.653644

14.656963

13.238688

12.759424

19.676283

13.258924

13.648662

14.838592

13.469513

14.049348

13.656204

13.50584

13.193721

12.818791

14.660295

13.096606

1501.01293

Y\=uki Nakaguchi

Yuki Nakaguchi, Tatsuma Nishioka

Entanglement Entropy of Annulus in Three Dimensions

29 pages, 13 figures, v2: references added, minor changes

null

10.1007/JHEP04(2015)072

IPMU-14-0363, UT-14-48

hep-th cond-mat.stat-mech

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The entanglement entropy of an annulus is examined in a three-dimensional system with or without a gap. For a free massive scalar field theory, we numerically calculate the mutual information across an annulus. We also study the holographic mutual information in the CGLP background describing a gapped field theory. We discover four types of solutions as the minimal surfaces for the annulus and classify the phase diagrams by varying the inner and outer radii. In both cases, we find the mutual information satisfies the monotonicity dictated by the unitarity and decays exponentially fast as the gap scale is increased. We speculate this is a universal behavior in any gapped system.

[ { "created": "Tue, 30 Dec 2014 21:00:10 GMT", "version": "v1" }, { "created": "Wed, 8 Apr 2015 06:11:01 GMT", "version": "v2" } ]

2015-05-20

[ [ "Nakaguchi", "Yuki", "" ], [ "Nishioka", "Tatsuma", "" ] ]

The entanglement entropy of an annulus is examined in a three-dimensional system with or without a gap. For a free massive scalar field theory, we numerically calculate the mutual information across an annulus. We also study the holographic mutual information in the CGLP background describing a gapped field theory. We discover four types of solutions as the minimal surfaces for the annulus and classify the phase diagrams by varying the inner and outer radii. In both cases, we find the mutual information satisfies the monotonicity dictated by the unitarity and decays exponentially fast as the gap scale is increased. We speculate this is a universal behavior in any gapped system.

10.411269

10.811584

11.800955

10.269275

11.009383

9.916504

10.281689

10.170833

10.107856

12.221615

9.945122

10.029897

11.257208

10.088497

9.804301

10.130975

9.89639

9.792029

9.805769

10.872762

9.971697

0911.0358

Erich Poppitz

Erich Poppitz, Mithat Unsal

Comments on large-N volume independence

12 pages; added small clarifications, published version

JHEP 1001:098,2010

10.1007/JHEP01(2010)098

null

hep-th hep-lat

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study aspects of the large-N volume independence on R**3 x L**G, where L**G is a G-site lattice for Yang-Mills theory with adjoint Wilson-fermions. We find the critical number of lattice sites above which the center-symmetry analysis on L**G agrees with the one on the continuum S**1. For Wilson parameter set to one and G>=2, the two analyses agree. One-loop radiative corrections to Wilson-line masses are finite, reminiscent of the UV-insensitivity of the Higgs mass in deconstruction/Little-Higgs theories. Even for theories with G=1, volume independence in QCD(adj) may be guaranteed to work by tuning one low-energy effective field theory parameter. Within the parameter space of the theory, at most three operators of the 3d effective field theory exhibit one-loop UV-sensitivity. This opens the analytical prospect to study 4d non-perturbative physics by using lower dimensional field theories (d=3, in our example).

[ { "created": "Mon, 2 Nov 2009 17:14:40 GMT", "version": "v1" }, { "created": "Wed, 27 Jan 2010 19:14:11 GMT", "version": "v2" } ]

2011-03-17

[ [ "Poppitz", "Erich", "" ], [ "Unsal", "Mithat", "" ] ]

We study aspects of the large-N volume independence on R**3 x L**G, where L**G is a G-site lattice for Yang-Mills theory with adjoint Wilson-fermions. We find the critical number of lattice sites above which the center-symmetry analysis on L**G agrees with the one on the continuum S**1. For Wilson parameter set to one and G>=2, the two analyses agree. One-loop radiative corrections to Wilson-line masses are finite, reminiscent of the UV-insensitivity of the Higgs mass in deconstruction/Little-Higgs theories. Even for theories with G=1, volume independence in QCD(adj) may be guaranteed to work by tuning one low-energy effective field theory parameter. Within the parameter space of the theory, at most three operators of the 3d effective field theory exhibit one-loop UV-sensitivity. This opens the analytical prospect to study 4d non-perturbative physics by using lower dimensional field theories (d=3, in our example).

18.266703

20.894634

21.070988

18.271654

19.710831

19.70616

20.470226

19.083652

19.460224

20.66028

18.446533

17.747181

19.796806

18.343632

18.348049

18.155716

17.945103

18.40312

17.536013

19.171356

17.199986

2012.08527

Sibylle Driezen

Sibylle Driezen and Konstantinos Sfetsos

Integrable $\lambda$-deformations of the Euclidean black string

24 pages, 2 figures. v2: minor corrections and clarifications added, version to appear in NPB

null

10.1016/j.nuclphysb.2021.115327

null

hep-th nlin.SI

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Non-trivial outer algebra automorphisms may be utilized in $\lambda$-deformations of (gauged) WZW models thus providing an efficient way to construct new integrable models. We provide two such integrable deformations of the exact coset CFT $SU(2)_k\times U(1)/U(1)_q$ with a vector and axial residual gauge. Besides the integer level $k$ and the deformation parameter $\lambda$, these models are characterized by the embedding parameter $q$ of the $U(1)$ factor. We show that an axial-vector T-duality persists along the deformations and, therefore, the models are canonically equivalent. We demonstrate integrability even though the space is non-symmetric and compute the $RG$-flow equations for the parameters $\lambda$ and $q$. Our example provides an integrable deformation of the gravitational solution representing a Euclidean three-dimensional black string.

[ { "created": "Tue, 15 Dec 2020 19:00:01 GMT", "version": "v1" }, { "created": "Sat, 30 Jan 2021 11:24:08 GMT", "version": "v2" } ]

2021-02-24

[ [ "Driezen", "Sibylle", "" ], [ "Sfetsos", "Konstantinos", "" ] ]

Non-trivial outer algebra automorphisms may be utilized in $\lambda$-deformations of (gauged) WZW models thus providing an efficient way to construct new integrable models. We provide two such integrable deformations of the exact coset CFT $SU(2)_k\times U(1)/U(1)_q$ with a vector and axial residual gauge. Besides the integer level $k$ and the deformation parameter $\lambda$, these models are characterized by the embedding parameter $q$ of the $U(1)$ factor. We show that an axial-vector T-duality persists along the deformations and, therefore, the models are canonically equivalent. We demonstrate integrability even though the space is non-symmetric and compute the $RG$-flow equations for the parameters $\lambda$ and $q$. Our example provides an integrable deformation of the gravitational solution representing a Euclidean three-dimensional black string.

11.550483

11.128763

12.05007

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10.928264

10.431425

10.879782

10.593968

10.774747

13.863892

10.30399

10.612099

10.900057

10.640347

10.363381

10.610209

10.290294

10.630377

10.507177

11.528113

10.680059

1111.2858

Daniel Park

Daniel S. Park

Scalar Three-point Functions in a CDL Background

42 pages + appendices, 10 figures; v2, v3: minor corrections

JHEP 1201:165,2012

10.1007/JHEP01(2012)165

MIT-CTP-4316

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Motivated by the FRW-CFT proposal by Freivogel, Sekino, Susskind and Yeh, we compute the three-point function of a scalar field in a Coleman-De Luccia instanton background. We first compute the three-point function of the scalar field making only very mild assumptions about the scalar potential and the instanton background. We obtain the three-point function for points in the FRW patch of the CDL instanton and take two interesting limits; the limit where the three points are near the boundary of the hyperbolic slices of the FRW patch, and the limit where the three points lie on the past lightcone of the FRW patch. We expand the past lightcone three-point function in spherical harmonics. We show that the near boundary limit expansion of the three-point function of a massless scalar field exhibits conformal structure compatible with FRW-CFT when the FRW patch is flat. We also compute the three-point function when the scalar is massive, and explain the obstacles to generalizing the conjectured field-operator correspondence of massless fields to massive fields.

[ { "created": "Fri, 11 Nov 2011 20:58:13 GMT", "version": "v1" }, { "created": "Thu, 17 Nov 2011 20:48:38 GMT", "version": "v2" }, { "created": "Mon, 11 Jun 2012 20:52:08 GMT", "version": "v3" } ]

2015-03-19

[ [ "Park", "Daniel S.", "" ] ]

Motivated by the FRW-CFT proposal by Freivogel, Sekino, Susskind and Yeh, we compute the three-point function of a scalar field in a Coleman-De Luccia instanton background. We first compute the three-point function of the scalar field making only very mild assumptions about the scalar potential and the instanton background. We obtain the three-point function for points in the FRW patch of the CDL instanton and take two interesting limits; the limit where the three points are near the boundary of the hyperbolic slices of the FRW patch, and the limit where the three points lie on the past lightcone of the FRW patch. We expand the past lightcone three-point function in spherical harmonics. We show that the near boundary limit expansion of the three-point function of a massless scalar field exhibits conformal structure compatible with FRW-CFT when the FRW patch is flat. We also compute the three-point function when the scalar is massive, and explain the obstacles to generalizing the conjectured field-operator correspondence of massless fields to massive fields.

7.219254

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6.9346

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6.984129

7.445077

7.053701

8.524035

6.822666

7.176324

7.453068

7.189275

7.01388

7.1238

7.086942

7.106432

7.239223

7.407517

7.005887

0705.4613

Rutwig C. Stursberg

R. Campoamor-Stursberg

Contractions and deformations of quasi-classical Lie algebras preserving a non-degenerate quadratic Casimir operator

12 pages. LATEX with revtex4; Proceedings of the XII International Conference on Symmetry Methods in Physics, (Yerevan, 2006) eds. G.S. Pogosyan et al;

Phys.Atom.Nucl.71:830-835,2008

10.1134/S1063778808050104

null

hep-th

null

By means of contractions of Lie algebras, we obtain new classes of indecomposable quasi-classical Lie algebras that satisfy the Yang-Baxter equations in its reformulation in terms of triple products. These algebras are shown to arise naturally from non-compact real simple algebras with non-simple complexification, where we impose that a non-degenerate quadratic Casimir operator is preserved by the limiting process. We further consider the converse problem, and obtain sufficient conditions on integrable cocycles of quasi-classical Lie algebras in order to preserve non-degenerate quadratic Casimir operators by the associated linear deformations.

[ { "created": "Thu, 31 May 2007 14:14:08 GMT", "version": "v1" } ]

2008-11-26

[ [ "Campoamor-Stursberg", "R.", "" ] ]

By means of contractions of Lie algebras, we obtain new classes of indecomposable quasi-classical Lie algebras that satisfy the Yang-Baxter equations in its reformulation in terms of triple products. These algebras are shown to arise naturally from non-compact real simple algebras with non-simple complexification, where we impose that a non-degenerate quadratic Casimir operator is preserved by the limiting process. We further consider the converse problem, and obtain sufficient conditions on integrable cocycles of quasi-classical Lie algebras in order to preserve non-degenerate quadratic Casimir operators by the associated linear deformations.

11.195406

12.157958

12.159952

11.211668

10.872329

12.149245

12.433582

10.94533

11.135112

13.64891

10.819196

10.143156

10.734119

10.400646

10.279141

10.368287

10.392654

10.253695

10.43342

10.397532

9.743829

1806.01749

Tom Banks

T. Banks (Runhetic, Rutgers University), W.Fischler (University of Texas, Austin)

The Holographic Space-Time Model of Cosmology

LaTeX2e, 13 Pages, Winner of 5th Prize in the Gravitation Research Essay Contest 2018

null

10.1142/S0218271818460057

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

This essay outlines the Holographic Space-time (HST) theory of cosmology and its relation to conventional theories of inflation. The predictions of the theory are compatible with observations, and one must hope for data on primordial gravitational waves or non-Gaussian fluctuations to distinguish it from conventional models. The model predicts an early era of structure formation, prior to the Big Bang. Understanding the fate of those structures requires complicated simulations that have not yet been done. The result of those calculations might falsify the model, or might provide a very economical framework for explaining dark matter and the generation of the baryon asymmetry.

[ { "created": "Tue, 5 Jun 2018 15:30:18 GMT", "version": "v1" } ]

2018-12-19

[ [ "Banks", "T.", "", "Runhetic, Rutgers University" ], [ "Fischler", "W.", "", "University of\n Texas, Austin" ] ]

This essay outlines the Holographic Space-time (HST) theory of cosmology and its relation to conventional theories of inflation. The predictions of the theory are compatible with observations, and one must hope for data on primordial gravitational waves or non-Gaussian fluctuations to distinguish it from conventional models. The model predicts an early era of structure formation, prior to the Big Bang. Understanding the fate of those structures requires complicated simulations that have not yet been done. The result of those calculations might falsify the model, or might provide a very economical framework for explaining dark matter and the generation of the baryon asymmetry.

11.582572

11.137685

12.033423

10.277494

11.29401

11.149286

11.344138

10.545295

10.190666

11.814192

10.502982

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10.773699

10.527948

10.381286

10.2146

9.88489

10.006388

10.393008

11.06957

10.204546

1606.05831

Tsutomu Kobayashi

Generic instabilities of non-singular cosmologies in Horndeski theory: a no-go theorem

6 pages, 2 figures; v2: references added

Phys. Rev. D 94, 043511 (2016)

10.1103/PhysRevD.94.043511

RUP-16-19

hep-th astro-ph.CO gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The null energy condition can be violated stably in generalized Galileon theories, which gives rise to the possibilities of healthy non-singular cosmologies. However, it has been reported that in many cases cosmological solutions are plagued with instabilities or have some pathologies somewhere in the whole history of the universe. Recently, this was shown to be generically true in a certain subclass of the Horndeski theory. In this short paper, we extend this no-go argument to the full Horndeski theory, and show that non-singular models (with flat spatial sections) in general suffer either from gradient instabilities or some kind of pathology in the tensor sector. This implies that one must go beyond the Horndeski theory to implement healthy non-singular cosmologies.

[ { "created": "Sun, 19 Jun 2016 03:33:14 GMT", "version": "v1" }, { "created": "Tue, 9 Aug 2016 00:50:57 GMT", "version": "v2" } ]

2016-08-17

[ [ "Kobayashi", "Tsutomu", "" ] ]

The null energy condition can be violated stably in generalized Galileon theories, which gives rise to the possibilities of healthy non-singular cosmologies. However, it has been reported that in many cases cosmological solutions are plagued with instabilities or have some pathologies somewhere in the whole history of the universe. Recently, this was shown to be generically true in a certain subclass of the Horndeski theory. In this short paper, we extend this no-go argument to the full Horndeski theory, and show that non-singular models (with flat spatial sections) in general suffer either from gradient instabilities or some kind of pathology in the tensor sector. This implies that one must go beyond the Horndeski theory to implement healthy non-singular cosmologies.

7.919599

7.354594

7.443718

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7.66597

7.044477

7.434265

6.88474

7.18177

7.442641

6.94915

7.533012

7.287252

7.206113

7.384576

7.531489

7.438626

7.42024

7.249644

7.264823

7.328142

2301.08753

Alexandre Belin

Eyoab Bahiru, Alexandre Belin, Kyriakos Papadodimas, Gabor Sarosi, Niloofar Vardian

Holography and Localization of Information in Quantum Gravity

67 pages + appendices, 6 figures; v2 references and minor comments added - version as in JHEP

null

CERN-TH-2023-003

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Within the AdS/CFT correspondence, we identify a class of CFT operators which represent diff-invariant and approximately local observables in the gravitational dual. Provided that the bulk state breaks all asymptotic symmetries, we show that these operators commute to all orders in $1/N$ with asymptotic charges, thus resolving an apparent tension between locality in perturbative quantum gravity and the gravitational Gauss law. The interpretation of these observables is that they are not gravitationally dressed with respect to the boundary, but instead to features of the state. We also provide evidence that there are bulk observables whose commutator vanishes to all orders in $1/N$ with the entire algebra of single-trace operators defined in a space-like separated time-band. This implies that in a large $N$ holographic CFT, the algebra generated by single-trace operators in a short-enough time-band has a non-trivial commutant when acting on states which break the symmetries. It also implies that information deep in the interior of the bulk is invisible to single-trace correlators in the time-band and hence that it is possible to localize information in perturbative quantum gravity.

[ { "created": "Fri, 20 Jan 2023 19:00:00 GMT", "version": "v1" }, { "created": "Mon, 13 May 2024 15:41:07 GMT", "version": "v2" } ]

2024-05-14

[ [ "Bahiru", "Eyoab", "" ], [ "Belin", "Alexandre", "" ], [ "Papadodimas", "Kyriakos", "" ], [ "Sarosi", "Gabor", "" ], [ "Vardian", "Niloofar", "" ] ]

Within the AdS/CFT correspondence, we identify a class of CFT operators which represent diff-invariant and approximately local observables in the gravitational dual. Provided that the bulk state breaks all asymptotic symmetries, we show that these operators commute to all orders in $1/N$ with asymptotic charges, thus resolving an apparent tension between locality in perturbative quantum gravity and the gravitational Gauss law. The interpretation of these observables is that they are not gravitationally dressed with respect to the boundary, but instead to features of the state. We also provide evidence that there are bulk observables whose commutator vanishes to all orders in $1/N$ with the entire algebra of single-trace operators defined in a space-like separated time-band. This implies that in a large $N$ holographic CFT, the algebra generated by single-trace operators in a short-enough time-band has a non-trivial commutant when acting on states which break the symmetries. It also implies that information deep in the interior of the bulk is invisible to single-trace correlators in the time-band and hence that it is possible to localize information in perturbative quantum gravity.

9.589502

8.986162

11.052025

9.182059

9.585536

9.242409

9.174158

8.731868

8.714849

11.580989

8.935933

9.25146

9.967002

9.341871

9.506826

9.296392

9.145398

9.21998

9.559973

10.165525

9.337436

hep-th/0507102

Matthew Schwartz

Lisa Randall, Matthew D. Schwartz, and Shiyamala Thambyahpillai

Discretizing Gravity in Warped Spacetime

17 pages, 4 figures; references added

JHEP 0510:110,2005

10.1088/1126-6708/2005/10/110

null

hep-th

null

We investigate the discretized version of the compact Randall-Sundrum model. By studying the mass eigenstates of the lattice theory, we demonstrate that for warped space, unlike for flat space, the strong coupling scale does not depend on the IR scale and lattice size. However, strong coupling does prevent us from taking the continuum limit of the lattice theory. Nonetheless, the lattice theory works in the manifestly holographic regime and successfully reproduces the most significant features of the warped theory. It is even in some respects better than the KK theory, which must be carefully regulated to obtain the correct physical results. Because it is easier to construct lattice theories than to find exact solutions to GR, we expect lattice gravity to be a useful tool for exploring field theory in curved space.

[ { "created": "Mon, 11 Jul 2005 22:09:04 GMT", "version": "v1" }, { "created": "Mon, 1 Aug 2005 22:23:06 GMT", "version": "v2" } ]

2009-11-11

[ [ "Randall", "Lisa", "" ], [ "Schwartz", "Matthew D.", "" ], [ "Thambyahpillai", "Shiyamala", "" ] ]

We investigate the discretized version of the compact Randall-Sundrum model. By studying the mass eigenstates of the lattice theory, we demonstrate that for warped space, unlike for flat space, the strong coupling scale does not depend on the IR scale and lattice size. However, strong coupling does prevent us from taking the continuum limit of the lattice theory. Nonetheless, the lattice theory works in the manifestly holographic regime and successfully reproduces the most significant features of the warped theory. It is even in some respects better than the KK theory, which must be carefully regulated to obtain the correct physical results. Because it is easier to construct lattice theories than to find exact solutions to GR, we expect lattice gravity to be a useful tool for exploring field theory in curved space.

11.850091

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12.464331

12.012564

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10.727863

10.877465

11.50593

11.287442

11.078401

10.811486

11.152535

10.774689

10.863596

1703.00713

Mohammad M. Sheikh-Jabbari

Tigran Hakobyan, Armen Nersessian, M.M. Sheikh-Jabbari

Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics

9 pages, no figures, v2: Minor changes to match the published version

Phys.Lett B 772:586-592 (2017)

10.1016/j.physletb.2017.07.028

IPM/P-2017/009

hep-th gr-qc math-ph math.MP nlin.SI

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We investigate dynamics of probe particles moving in the near-horizon limit of (2N+1)-dimensional extremal Myers-Perry black hole with arbitrary rotation parameters. We observe that in the most general case with nonequal nonvanishing rotational parameters the system admits separation of variables in N-dimensional ellipsoidal coordinates. This allows us to find solution of the corresponding Hamilton-Jacobi equation and write down the explicit expressions of Liouville constants of motion.

[ { "created": "Thu, 2 Mar 2017 11:07:10 GMT", "version": "v1" }, { "created": "Sat, 7 Oct 2017 09:36:12 GMT", "version": "v2" } ]

2017-10-10

[ [ "Hakobyan", "Tigran", "" ], [ "Nersessian", "Armen", "" ], [ "Sheikh-Jabbari", "M. M.", "" ] ]

We investigate dynamics of probe particles moving in the near-horizon limit of (2N+1)-dimensional extremal Myers-Perry black hole with arbitrary rotation parameters. We observe that in the most general case with nonequal nonvanishing rotational parameters the system admits separation of variables in N-dimensional ellipsoidal coordinates. This allows us to find solution of the corresponding Hamilton-Jacobi equation and write down the explicit expressions of Liouville constants of motion.

9.133932

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7.873377

7.586337

7.33714

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7.74442

7.716897

8.120722

7.829062

2312.08441

Oliver Janssen

Paolo Creminelli, Matteo Delladio, Oliver Janssen, Alessandro Longo and Leonardo Senatore

Non-analyticity of the $S$-matrix with spontaneously broken Lorentz invariance

18+11 pages

null

hep-th gr-qc

http://creativecommons.org/licenses/by/4.0/

We study the $S$-matrix of Goldstones in the renormalizable theory of a $U(1)$ complex scalar at finite charge, i.e. in a state that breaks Lorentz invariance. The theory is weakly coupled so that this $S$-matrix exists at all energies. Unlike the Lorentz invariant case, the resulting $S$-matrix is not analytic in the exchanged (complexified) four-momentum. The non-analyticities stem from the LSZ reduction formula, as a consequence of the energy-dependent mixing between the radial and Goldstone modes.

[ { "created": "Wed, 13 Dec 2023 19:00:01 GMT", "version": "v1" } ]

2023-12-15

[ [ "Creminelli", "Paolo", "" ], [ "Delladio", "Matteo", "" ], [ "Janssen", "Oliver", "" ], [ "Longo", "Alessandro", "" ], [ "Senatore", "Leonardo", "" ] ]

We study the $S$-matrix of Goldstones in the renormalizable theory of a $U(1)$ complex scalar at finite charge, i.e. in a state that breaks Lorentz invariance. The theory is weakly coupled so that this $S$-matrix exists at all energies. Unlike the Lorentz invariant case, the resulting $S$-matrix is not analytic in the exchanged (complexified) four-momentum. The non-analyticities stem from the LSZ reduction formula, as a consequence of the energy-dependent mixing between the radial and Goldstone modes.

8.714238

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7.781363

7.798843

7.69896

7.964

7.514709

0901.2614

Yu-Xiao Liu

Shao-Wen Wei, Ran Li, Yu-Xiao Liu, Ji-Rong Ren

Anomaly analysis of Hawking radiation from Kaluza-Klein black hole with squashed horizon

15 pages, no figures, the improved version, accepted by Eur. Phys. J. C

Eur. Phys. J. C65:281, 2010; Eur.Phys.J.C65:281-287,2010

10.1140/epjc/s10052-009-1203-z

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Considering gravitational and gauge anomalies at the horizon, a new method that to derive Hawking radiations from black holes has been developed by Wilczek et al. In this paper, we apply this method to non-rotating and rotating Kaluza-Klein black holes with squashed horizon, respectively. For the rotating case, we found that, after the dimensional reduction, an effective U(1) gauge field is generated by an angular isometry. The results show that the gauge current and energy-momentum tensor fluxes are exactly equivalent to Hawking radiation from the event horizon.

[ { "created": "Sat, 17 Jan 2009 08:49:02 GMT", "version": "v1" }, { "created": "Tue, 24 Feb 2009 09:18:11 GMT", "version": "v2" }, { "created": "Thu, 29 Oct 2009 03:26:00 GMT", "version": "v3" } ]

2010-01-06

[ [ "Wei", "Shao-Wen", "" ], [ "Li", "Ran", "" ], [ "Liu", "Yu-Xiao", "" ], [ "Ren", "Ji-Rong", "" ] ]

Considering gravitational and gauge anomalies at the horizon, a new method that to derive Hawking radiations from black holes has been developed by Wilczek et al. In this paper, we apply this method to non-rotating and rotating Kaluza-Klein black holes with squashed horizon, respectively. For the rotating case, we found that, after the dimensional reduction, an effective U(1) gauge field is generated by an angular isometry. The results show that the gauge current and energy-momentum tensor fluxes are exactly equivalent to Hawking radiation from the event horizon.

10.6523

9.003667

8.540322

8.433579

9.109035

9.060479

9.117799

8.100025

8.462226

11.003405

8.731885

9.329874

9.089153

9.064199

9.436859

9.1837

8.997462

9.21408

9.030436

9.132415

9.320968

1109.2335

Nikolaos Tetradis

N. Tetradis

Holographic Horizons

14 pages, 5 figures

null

10.1103/PhysRevD.85.046007

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We examine how the (2+1)-dimensional AdS space is covered by the Fefferman-Graham system of coordinates for Minkowski, Rindler and static de Sitter boundary metrics. We find that, in the last two cases, the coordinates do not cover the full AdS space. On a constant-time slice, the line delimiting the excluded region has endpoints at the locations of the horizons of the boundary metric. Its length, after an appropriate regularization, reproduces the entropy of the dual CFT on the boundary background. The horizon can be interpreted as the holographic image of the line segment delimiting the excluded region in the vicinity of the boundary.

[ { "created": "Sun, 11 Sep 2011 17:58:39 GMT", "version": "v1" } ]

2013-05-30

[ [ "Tetradis", "N.", "" ] ]

We examine how the (2+1)-dimensional AdS space is covered by the Fefferman-Graham system of coordinates for Minkowski, Rindler and static de Sitter boundary metrics. We find that, in the last two cases, the coordinates do not cover the full AdS space. On a constant-time slice, the line delimiting the excluded region has endpoints at the locations of the horizons of the boundary metric. Its length, after an appropriate regularization, reproduces the entropy of the dual CFT on the boundary background. The horizon can be interpreted as the holographic image of the line segment delimiting the excluded region in the vicinity of the boundary.

8.305305

7.985194

8.408398

8.054203

7.744745

7.44196

7.268592

7.66099

7.975062

9.691449

7.692483

8.009516

8.309735

8.320019

8.296259

8.09939

8.38136

8.038783

8.338165

8.370139

8.002446

1006.4713

Soonkeon Nam

Yongjoon Kwon and Soonkeon Nam

Quantization of horizon areas of the Kerr black hole

5 pages

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Since the Bekenstein's proposal that a black hole has equally spaced area spectrum, the quasinormal modes as the characteristic modes of a black hole have been used in obtaining the horizon area spectrum of the black hole. However, the area spectrum of the Kerr black hole in some previous works was inconsistent with the Bekenstein's proposal. In this paper, we notice that the Kerr black hole has three types of resonance modes which are quasinormal modes (QNM), total transmission modes (TTM), and total reflection modes (TRM). All of these resonances represent highly damped oscillations and only depend on the black hole parameters which are mass, charge and angular momentum of the black hole. We propose that all of these modes should be used in quantizing the black hole. With all these modes, we find that both the inner and outer horizon areas of the Kerr black hole are equally spaced. Similar behavior is also found in the Reissner-Nordstrom black hole.

[ { "created": "Thu, 24 Jun 2010 08:16:42 GMT", "version": "v1" } ]

2010-06-25

[ [ "Kwon", "Yongjoon", "" ], [ "Nam", "Soonkeon", "" ] ]

Since the Bekenstein's proposal that a black hole has equally spaced area spectrum, the quasinormal modes as the characteristic modes of a black hole have been used in obtaining the horizon area spectrum of the black hole. However, the area spectrum of the Kerr black hole in some previous works was inconsistent with the Bekenstein's proposal. In this paper, we notice that the Kerr black hole has three types of resonance modes which are quasinormal modes (QNM), total transmission modes (TTM), and total reflection modes (TRM). All of these resonances represent highly damped oscillations and only depend on the black hole parameters which are mass, charge and angular momentum of the black hole. We propose that all of these modes should be used in quantizing the black hole. With all these modes, we find that both the inner and outer horizon areas of the Kerr black hole are equally spaced. Similar behavior is also found in the Reissner-Nordstrom black hole.

5.752623

4.707789

5.152851

4.95398

4.68826

4.720644

4.530856

4.773981

5.060099

5.360626

5.076679

5.305542

5.329287

5.20189

5.367385

5.279045

5.235542

5.219605

5.263885

5.336584

5.291497

1301.4505

Leonard Susskind

Black Hole Complementarity and the Harlow-Hayden Conjecture

null

hep-th gr-qc quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Black hole complementarity, as originally formulated in the 1990's by Preskill, 't Hooft, and myself is now being challenged by the Almheiri-Marolf-Polchinski-Sully firewall argument. The AMPS argument relies on an implicit assumption---the ``proximity postulate---which says that the interior of a black hole must be constructed from degrees of freedom that are physically near the black hole. The proximity postulate manifestly contradicts the idea that interior information is redundant with information in Hawking radiation, which is very far from the black hole. AMPS argue that a violation of the proximity postulate would lead to a contradiction in a thought-experiment in which Alice distills the Hawking radiation and brings a bit back to the black hole. According to AMPS the only way to protect against the contradiction is for a firewall to form at the Page time. But the measurement that Alice must make, is of such a fine-grained nature that carrying it out before the black hole evaporates may be impossible. Harlow and Hayden have found evidence that the limits of quantum computation do in fact prevent Alice from carrying out her experiment in less than exponential time. If their conjecture is correct then black hole complementarity may be alive and well. My aim here is to give an overview of the firewall argument, and its basis in the proximity postulate; as well as the counterargument based on computational complexity, as conjectured by Harlow and Hayden.

[ { "created": "Fri, 18 Jan 2013 21:08:15 GMT", "version": "v1" }, { "created": "Thu, 6 Jun 2013 21:50:04 GMT", "version": "v2" } ]

2013-06-10

[ [ "Susskind", "Leonard", "" ] ]

Black hole complementarity, as originally formulated in the 1990's by Preskill, 't Hooft, and myself is now being challenged by the Almheiri-Marolf-Polchinski-Sully firewall argument. The AMPS argument relies on an implicit assumption---the ``proximity postulate---which says that the interior of a black hole must be constructed from degrees of freedom that are physically near the black hole. The proximity postulate manifestly contradicts the idea that interior information is redundant with information in Hawking radiation, which is very far from the black hole. AMPS argue that a violation of the proximity postulate would lead to a contradiction in a thought-experiment in which Alice distills the Hawking radiation and brings a bit back to the black hole. According to AMPS the only way to protect against the contradiction is for a firewall to form at the Page time. But the measurement that Alice must make, is of such a fine-grained nature that carrying it out before the black hole evaporates may be impossible. Harlow and Hayden have found evidence that the limits of quantum computation do in fact prevent Alice from carrying out her experiment in less than exponential time. If their conjecture is correct then black hole complementarity may be alive and well. My aim here is to give an overview of the firewall argument, and its basis in the proximity postulate; as well as the counterargument based on computational complexity, as conjectured by Harlow and Hayden.

7.081417

7.922102

8.143312

7.324111

7.69631

7.53154

7.936932

7.611877

6.814279

7.827444

7.110898

6.905519

6.887955

6.888619

6.868536

6.791677

6.93956

6.829115

7.019785

7.177661

6.858874

1312.5998

Vladimir Dobrev

V.K. Dobrev

Invariant Differential Operators for Non-Compact Lie Groups: the Reduced SU(3,3) Multiplets

13 pages, 9 figures, Plenary talk at the International Workshop 'Supersymmetries and Quantum Symmetries', Dubna, July 29 - August 3, 2013. V2: extended version with 5 more figures treating all reduced multiplets containing physically relevant representations. V3: systematic typos corrected. V4: changed normalization of conformal weight, results unchanged

Phys. Part. Nucl. Lett. 11, 864-871 (2014)

10.1134/S1547477114070164

null

hep-th math.RT

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebras $su(n,n)$. Earlier were given the main multiplets of indecomposable elementary representations for $n\leq 4$, and the reduced ones for $n=2$. Here we give all reduced multiplets containing physically relevant representations including the minimal ones for the algebra $su(3,3)$. Due to the recently established parabolic relations the results are valid also for the algebra $sl(6,\mathbb{R})$ with suitably chosen maximal parabolic subalgebra.

[ { "created": "Fri, 20 Dec 2013 15:56:41 GMT", "version": "v1" }, { "created": "Sat, 8 Feb 2014 15:55:21 GMT", "version": "v2" }, { "created": "Sun, 29 Jun 2014 19:49:55 GMT", "version": "v3" }, { "created": "Sat, 13 Sep 2014 13:15:25 GMT", "version": "v4" } ]

2016-12-13

[ [ "Dobrev", "V. K.", "" ] ]

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebras $su(n,n)$. Earlier were given the main multiplets of indecomposable elementary representations for $n\leq 4$, and the reduced ones for $n=2$. Here we give all reduced multiplets containing physically relevant representations including the minimal ones for the algebra $su(3,3)$. Due to the recently established parabolic relations the results are valid also for the algebra $sl(6,\mathbb{R})$ with suitably chosen maximal parabolic subalgebra.

10.685974

8.917625

10.659636

8.634922

9.060503

8.848764

8.274018

8.627144

8.582973

11.944619

9.029127

9.010581

10.498539

9.461708

9.290335

9.281274

9.091709

9.247644

9.097075

10.431668

9.520593

1208.2465

Christoph Adam

C. Adam, C. Naya, J. Sanchez-Guillen, A. Wereszczynski

The vector BPS Skyrme model

Latex, 26 pages, 5 figures

null

10.1103/PhysRevD.86.085001

null

hep-th math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We analyze the vector meson formulation of the BPS Skyrme model in (3+1) dimensions, where the term of sixth power in first derivatives characteristic for the original, integrable BPS Skyrme model (the topological or baryon current squared) is replaced by a coupling between the vector meson $\omega_\mu$ and the baryon current. We find that the model remains integrable in the sense of generalized integrability and almost solvable (reducible to a set of two first order ODEs) for any value of the baryon charge. Further, we analyze the appearance of topological solitons for two one-parameter families of one vacuum potentials: the old Skyrme potentials and the so-called BPS potentials. Depending on the value of the parameters we find several qualitatively different possibilities. In the massless case we have a parameter region with no skyrmions, a unique compact skyrmion with a discontinuous first derivative at the boundary (equivalently, with a source term located at the boundary, which screens the topological charge), and Coulomb-like localized solitons. For the massive vector meson, besides the no-skyrmion region and a unique C-compact soliton, we find exponentially as well as power-like localized skyrmions. Further, we find (for a specific potential) BPS solutions, i.e., skyrmions saturating a Bogomolny bound (both for the massless and massive vector mesons) which are unstable for higher values of the baryon charge. The properties of the model are finally compared with its baby version in (2+1) dimensions, and with the original BPS Skyrme model, contributing to a better understanding of the latter.

[ { "created": "Sun, 12 Aug 2012 21:09:59 GMT", "version": "v1" } ]

2013-05-30

[ [ "Adam", "C.", "" ], [ "Naya", "C.", "" ], [ "Sanchez-Guillen", "J.", "" ], [ "Wereszczynski", "A.", "" ] ]

We analyze the vector meson formulation of the BPS Skyrme model in (3+1) dimensions, where the term of sixth power in first derivatives characteristic for the original, integrable BPS Skyrme model (the topological or baryon current squared) is replaced by a coupling between the vector meson $\omega_\mu$ and the baryon current. We find that the model remains integrable in the sense of generalized integrability and almost solvable (reducible to a set of two first order ODEs) for any value of the baryon charge. Further, we analyze the appearance of topological solitons for two one-parameter families of one vacuum potentials: the old Skyrme potentials and the so-called BPS potentials. Depending on the value of the parameters we find several qualitatively different possibilities. In the massless case we have a parameter region with no skyrmions, a unique compact skyrmion with a discontinuous first derivative at the boundary (equivalently, with a source term located at the boundary, which screens the topological charge), and Coulomb-like localized solitons. For the massive vector meson, besides the no-skyrmion region and a unique C-compact soliton, we find exponentially as well as power-like localized skyrmions. Further, we find (for a specific potential) BPS solutions, i.e., skyrmions saturating a Bogomolny bound (both for the massless and massive vector mesons) which are unstable for higher values of the baryon charge. The properties of the model are finally compared with its baby version in (2+1) dimensions, and with the original BPS Skyrme model, contributing to a better understanding of the latter.

8.084138

8.888673

8.436481

8.217843

8.938804

8.529675

9.026367

8.241547

8.351296

8.650224

8.087913

8.047577

8.010278

7.806798

7.988049

8.229428

8.080066

7.939233

8.010988

8.103216

7.853643

0907.4118

Martin Kruczenski

M. Kruczenski and A. Tirziu

On the dressing phase in the SL(2) Bethe Ansatz

23 pages, 1 figure, LaTeX. V2: References added

Phys.Rev.D80:086002,2009

10.1103/PhysRevD.80.086002

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper we study the function chi(x1,x2,g) that determines the dressing phase that appears in the all-loop Bethe Ansatz equations for the SL(2) sector of N=4 super Yang-Mills theory. First, we consider the coefficients c_{r,s}(g) of the expansion of chi(x1,x2,g) in inverse powers of x1, x2. We obtain an expression in terms of a single integral valid for all values of the coupling g. The expression is such that the small and large coupling expansion can be simply computed in agreement with the expected results. This proves the, up to now conjectured, equivalence of both expansions of the phase. The strong coupling expansion is only asymptotic but we find an exact expression for the value of the residue which can be seen to decrease exponentially with g. After that, we consider the function chi(x1,x2,g) itself and, using the same method, expand it for small and large coupling. All small and large coupling coefficients chi^(n)(x1,x2), for even and odd n, are explicitly given in terms of finite sums or, alternatively, in terms of the residues of generating functions at certain poles.

[ { "created": "Thu, 23 Jul 2009 16:46:56 GMT", "version": "v1" }, { "created": "Thu, 6 Aug 2009 20:53:33 GMT", "version": "v2" } ]

2009-10-26

[ [ "Kruczenski", "M.", "" ], [ "Tirziu", "A.", "" ] ]

In this paper we study the function chi(x1,x2,g) that determines the dressing phase that appears in the all-loop Bethe Ansatz equations for the SL(2) sector of N=4 super Yang-Mills theory. First, we consider the coefficients c_{r,s}(g) of the expansion of chi(x1,x2,g) in inverse powers of x1, x2. We obtain an expression in terms of a single integral valid for all values of the coupling g. The expression is such that the small and large coupling expansion can be simply computed in agreement with the expected results. This proves the, up to now conjectured, equivalence of both expansions of the phase. The strong coupling expansion is only asymptotic but we find an exact expression for the value of the residue which can be seen to decrease exponentially with g. After that, we consider the function chi(x1,x2,g) itself and, using the same method, expand it for small and large coupling. All small and large coupling coefficients chi^(n)(x1,x2), for even and odd n, are explicitly given in terms of finite sums or, alternatively, in terms of the residues of generating functions at certain poles.

8.292893

8.374742

8.346696

7.886853

8.07545

8.110172

7.78687

7.81706

7.709204

9.168154

7.712199

7.347359

7.633455

7.174228

7.417587

7.425652

7.557373

7.733006

7.443455

7.753005

7.561359

hep-th/9307028

null

K.S.Viswanathan and R.Parthasarathy

Extrinsic Curvature Induced 2-d Gravity

14 pages in latex, SFU-HEP-105-93

null

hep-th

null

Abtract: 2-dimensional fermions are coupled to extrinsic geometry of a conformally immersed surface in ${\bf R}^3$ through gauge coupling. By integrating out the fermions, we obtain a WZNW action involving extrinsic curvature of the surface. Restricting the resulting effective action to surfaces of $h\sqrt g=1$, an explicit form of the action invariant under Virasaro symmetry is obtained. This action is a sum of the geometric action for the Virasaro group and the light-cone action of 2-d gravity plus an interaction term. The central charges of the theory in both the left and right sectors are calculated.

[ { "created": "Mon, 5 Jul 1993 20:47:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Viswanathan", "K. S.", "" ], [ "Parthasarathy", "R.", "" ] ]

Abtract: 2-dimensional fermions are coupled to extrinsic geometry of a conformally immersed surface in ${\bf R}^3$ through gauge coupling. By integrating out the fermions, we obtain a WZNW action involving extrinsic curvature of the surface. Restricting the resulting effective action to surfaces of $h\sqrt g=1$, an explicit form of the action invariant under Virasaro symmetry is obtained. This action is a sum of the geometric action for the Virasaro group and the light-cone action of 2-d gravity plus an interaction term. The central charges of the theory in both the left and right sectors are calculated.

12.300694

12.550968

13.299052

10.686354

12.470228

12.530167

12.135115

10.486311

10.902864

13.167356

11.05825

10.617981

11.394166

11.151916

11.053596

11.158474

11.143193

11.153234

10.959512

11.051587

11.653207

1909.10711

Jeong-Hyuck Park

Kyoungho Cho and Jeong-Hyuck Park

Remarks on the non-Riemannian sector in Double Field Theory

44 pages = 30 pages + Appendix + References; v2) Refs added, minor changes, final version

Eur.Phys.J. C80 (2020) no.2, 101

10.1140/epjc/s10052-020-7648-9

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Taking $\mathbf{O}(D,D)$ covariant field variables as its truly fundamental constituents, Double Field Theory can accommodate not only conventional supergravity but also non-Riemannian gravities that may be classified by two non-negative integers, $(n,\bar{n})$. Such non-Riemannian backgrounds render a propagating string chiral and anti-chiral over $n$ and $\bar{n}$ dimensions respectively. Examples include, but are not limited to, Newton--Cartan, Carroll, or Gomis--Ooguri. Here we analyze the variational principle with care for a generic $(n,\bar{n})$ non-Riemannian sector. We recognize a nontrivial subtlety for ${n\bar{n}\neq 0}$ that infinitesimal variations generically include those which change $(n,\bar{n})$. This seems to suggest that the various non-Riemannian gravities should better be identified as different solution sectors of Double Field Theory rather than viewed as independent theories. Separate verification of our results as string worldsheet beta-functions may enlarge the scope of the string landscape far beyond Riemann.

[ { "created": "Tue, 24 Sep 2019 05:30:55 GMT", "version": "v1" }, { "created": "Mon, 13 Jan 2020 23:30:20 GMT", "version": "v2" } ]

2020-02-17

[ [ "Cho", "Kyoungho", "" ], [ "Park", "Jeong-Hyuck", "" ] ]

Taking $\mathbf{O}(D,D)$ covariant field variables as its truly fundamental constituents, Double Field Theory can accommodate not only conventional supergravity but also non-Riemannian gravities that may be classified by two non-negative integers, $(n,\bar{n})$. Such non-Riemannian backgrounds render a propagating string chiral and anti-chiral over $n$ and $\bar{n}$ dimensions respectively. Examples include, but are not limited to, Newton--Cartan, Carroll, or Gomis--Ooguri. Here we analyze the variational principle with care for a generic $(n,\bar{n})$ non-Riemannian sector. We recognize a nontrivial subtlety for ${n\bar{n}\neq 0}$ that infinitesimal variations generically include those which change $(n,\bar{n})$. This seems to suggest that the various non-Riemannian gravities should better be identified as different solution sectors of Double Field Theory rather than viewed as independent theories. Separate verification of our results as string worldsheet beta-functions may enlarge the scope of the string landscape far beyond Riemann.

12.830738

12.483378

13.534236

10.736044

12.011304

11.530692

11.195467

11.298466

11.263664

13.891032

10.896556

11.896857

12.337546

11.75992

11.373595

11.696214

11.654675

11.649899

11.659121

11.501725

11.486557

1510.04999

Bindusar Sahoo

Franz Ciceri, Bindusar Sahoo

Towards the full N=4 conformal supergravity action

Latex, 21 pages, The discrepancy with an earlier result in the literature settled. A note is added at the end of section 5 and the abstract is modified accordingly. Minor typos fixed

null

10.1007/JHEP01(2016)059

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Based on the known non-linear transformation rules of the Weyl multiplet fields, the action of $N=4$ conformal supergravity is constructed up to terms quadratic in the fermion fields. The bosonic sector corrects a recent result in the literature.

[ { "created": "Fri, 16 Oct 2015 19:52:25 GMT", "version": "v1" }, { "created": "Sun, 29 Nov 2015 15:07:07 GMT", "version": "v2" } ]

2016-02-17

[ [ "Ciceri", "Franz", "" ], [ "Sahoo", "Bindusar", "" ] ]

Based on the known non-linear transformation rules of the Weyl multiplet fields, the action of $N=4$ conformal supergravity is constructed up to terms quadratic in the fermion fields. The bosonic sector corrects a recent result in the literature.

10.160275

7.049601

8.584057

7.234339

7.565828

7.50061

7.312441

7.205194

7.071659

8.48115

7.81862

7.403292

8.139587

7.751776

7.199345

7.722274

7.23506

7.801431

7.850006

8.040757

7.561183

1301.5292

Natalia Alkofer

Natalia Alkofer and Reinhard Alkofer

The non-perturbative BRST quartet mechanism in Landau gauge QCD: Ghost-gluon and ghost-quark bound states

3 pages, 1 figure; Poster presented at the Xth Quark Confinement and the Hadron Spectrum, Munich, Germany, 2012

PoS Confinement X (2013) 282

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The non-perturbative BRST quartet mechanism in infrared Landau gauge QCD is presented. It is demonstrated that positivity violation for transverse gluons allows to identify the gluon's non-perturbative BRST quartet. To describe the respective BRST-daughter state a truncated Bethe-Salpeter equation for the gluon-ghost bound state is investigated. An analogous construction for quarks yields a truncated Bethe-Salpeter equation for the quark-ghost bound state. The gluon-ghost bound state equation in two space-time dimensions has been numerically solved.

[ { "created": "Tue, 22 Jan 2013 19:43:23 GMT", "version": "v1" } ]

2013-01-23

[ [ "Alkofer", "Natalia", "" ], [ "Alkofer", "Reinhard", "" ] ]

The non-perturbative BRST quartet mechanism in infrared Landau gauge QCD is presented. It is demonstrated that positivity violation for transverse gluons allows to identify the gluon's non-perturbative BRST quartet. To describe the respective BRST-daughter state a truncated Bethe-Salpeter equation for the gluon-ghost bound state is investigated. An analogous construction for quarks yields a truncated Bethe-Salpeter equation for the quark-ghost bound state. The gluon-ghost bound state equation in two space-time dimensions has been numerically solved.

8.784452

7.574062

7.903026

7.41255

7.186736

7.689309

7.58686

7.490763

7.623132

9.196588

7.216892

8.186876

8.158708

8.312217

8.381758

8.15701

7.942288

8.159632

7.965692

8.007833

8.452045

1108.5577

Shesansu Pal

Bum-Hoon Lee, Shesansu Sekhar Pal, Sang-Jin Sin

RG flow of transport quantities

1+68 pages, 12 figures and 4 appendices; V2: The charge diffusion constant is calculated for arbitrary spacetime dimensions and related references added; v3: Connection with the RG flow of 1010.4036 is made; v4: Several corrections, typos fixed and a ref. added

null

10.1142/S0217751X12500716

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The RG flow equation of various transport quantities are studied in arbitrary spacetime dimensions, in the fixed as well as fluctuating background geometry both for the Maxwellian and DBI type of actions. The regularity condition on the flow equation of the conductivity at the horizon for the DBI action reproduces naturally the leading order result of {\it Hartnoll et al.}, [{\it JHEP}, {\bf 04}, 120 (2010)]. Motivated by the result of {\it van der Marel et al.}, [{\it science}, {\bf 425}, 271 (2003], we studied, analytically, the conductivity versus frequency plane by dividing it into three distinct parts: $\omega <T, \omega >T$ and $\omega >> T$. In order to compare, we choose 3+1 dimensional bulk spacetime for the computation of the conductivity. In the $\omega <T$ range, the conductivity does not show up the Drude like form in any spacetime dimensions. In the $\omega > T$ range and staying away from the horizon, for the DBI action with unit dynamical exponent, non-zero magnetic field and charge density, the conductivity goes as $\omega^{-2/3}$, whereas the phase of the conductivity, goes as, $ArcTan(Im\sigma^{xx}/Re\sigma^{xx})=\pi/6$ and $ArcTan(Im\sigma^{xy}/Re\sigma^{xy})=-\pi/3$. There exists a universal quantity at the horizon that is the phase angle of conductivity, which either vanishes or an integral multiple of $\pi$. Furthermore, we calculate the temperature dependence to the thermoelectric and the thermal conductivity at the horizon. The charge diffusion constant for the DBI action is studied.

[ { "created": "Mon, 29 Aug 2011 14:40:28 GMT", "version": "v1" }, { "created": "Sat, 3 Sep 2011 10:12:46 GMT", "version": "v2" }, { "created": "Mon, 19 Sep 2011 07:07:31 GMT", "version": "v3" }, { "created": "Tue, 1 Nov 2011 07:51:56 GMT", "version": "v4" } ]

2015-05-30

[ [ "Lee", "Bum-Hoon", "" ], [ "Pal", "Shesansu Sekhar", "" ], [ "Sin", "Sang-Jin", "" ] ]

The RG flow equation of various transport quantities are studied in arbitrary spacetime dimensions, in the fixed as well as fluctuating background geometry both for the Maxwellian and DBI type of actions. The regularity condition on the flow equation of the conductivity at the horizon for the DBI action reproduces naturally the leading order result of {\it Hartnoll et al.}, [{\it JHEP}, {\bf 04}, 120 (2010)]. Motivated by the result of {\it van der Marel et al.}, [{\it science}, {\bf 425}, 271 (2003], we studied, analytically, the conductivity versus frequency plane by dividing it into three distinct parts: $\omega <T, \omega >T$ and $\omega >> T$. In order to compare, we choose 3+1 dimensional bulk spacetime for the computation of the conductivity. In the $\omega <T$ range, the conductivity does not show up the Drude like form in any spacetime dimensions. In the $\omega > T$ range and staying away from the horizon, for the DBI action with unit dynamical exponent, non-zero magnetic field and charge density, the conductivity goes as $\omega^{-2/3}$, whereas the phase of the conductivity, goes as, $ArcTan(Im\sigma^{xx}/Re\sigma^{xx})=\pi/6$ and $ArcTan(Im\sigma^{xy}/Re\sigma^{xy})=-\pi/3$. There exists a universal quantity at the horizon that is the phase angle of conductivity, which either vanishes or an integral multiple of $\pi$. Furthermore, we calculate the temperature dependence to the thermoelectric and the thermal conductivity at the horizon. The charge diffusion constant for the DBI action is studied.

9.460426

10.889934

11.087523

10.646983

10.762622

10.894592

11.545387

10.719192

9.871945

12.281439

9.796455

9.914584

9.869594

9.967304

9.508879

9.693118

9.943151

9.684006

9.656594

10.328744

9.376897

1003.0448

Yuri Shirman

Csaba Csaki, John Terning, and Yuri Shirman

Anomaly Constraints on Monopoles and Dyons

14 pages, 1 fig

Phys.Rev.D81:125028,2010

10.1103/PhysRevD.81.125028

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Fermions with magnetic charges can contribute to anomalies. We derive the axial anomaly and gauge anomalies for monopoles and dyons, and find eight new gauge anomaly cancelation conditions in a general theory with both electric and magnetic charges. As a byproduct we also extend the Zwanziger two-potential formalism to include the theta parameter, and elaborate on the condition for CP invariance in theories with fermionic dyons.

[ { "created": "Tue, 2 Mar 2010 14:18:32 GMT", "version": "v1" } ]

2014-11-20

[ [ "Csaki", "Csaba", "" ], [ "Terning", "John", "" ], [ "Shirman", "Yuri", "" ] ]

Fermions with magnetic charges can contribute to anomalies. We derive the axial anomaly and gauge anomalies for monopoles and dyons, and find eight new gauge anomaly cancelation conditions in a general theory with both electric and magnetic charges. As a byproduct we also extend the Zwanziger two-potential formalism to include the theta parameter, and elaborate on the condition for CP invariance in theories with fermionic dyons.

14.024563

10.519955

12.836086

11.401824

12.716516

12.234115

12.164902

11.024943

11.002744

11.869818

12.576115

12.492746

11.641706

11.968922

12.172124

12.452082

11.449672

12.493818

11.729905

12.131831

12.515534

1807.00888

Wieland Staessens

Gary Shiu, Wieland Staessens

Phases of Inflation

1+67 pages, 16 figures

null

10.1007/JHEP10(2018)085

MAD-TH-17-09, IFT-UAM/CSIC-18-70

hep-th astro-ph.CO hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Motivated by the 4d effective field theories for closed string axions in Type II string compactifications with D-branes, we consider chiral gauge theories coupled to multiple axions. We discuss how well-known non-perturbative dynamical phenomena, such as gauge instantons, fermion confinement and Nambu-Jona-Lasinio interactions, give rise to non-trivial vacuum configurations in the IR. The fluctuations about the IR vacuum are captured by some remaining closed string axions and infladrons (scalar chiral condensate excitations), which acquire dynamical masses. By employing the full power of the effective field theory, we investigate the applicability of these IR theories as inflationary models (natural, monodromy, Starobinsky) and connect different types of inflationary scenarios to different phases of the non-Abelian gauge theory or the Nambu-Jona-Lasinio four-fermion couplings. The back-reaction of the infladrons flattens the axion potential in natural-like inflationary models, such that the tension with current CMB data with respect to the spectral index and the tensor-to-scalar ratio can be partially alleviated.

[ { "created": "Mon, 2 Jul 2018 21:08:36 GMT", "version": "v1" } ]

2018-11-14

[ [ "Shiu", "Gary", "" ], [ "Staessens", "Wieland", "" ] ]

Motivated by the 4d effective field theories for closed string axions in Type II string compactifications with D-branes, we consider chiral gauge theories coupled to multiple axions. We discuss how well-known non-perturbative dynamical phenomena, such as gauge instantons, fermion confinement and Nambu-Jona-Lasinio interactions, give rise to non-trivial vacuum configurations in the IR. The fluctuations about the IR vacuum are captured by some remaining closed string axions and infladrons (scalar chiral condensate excitations), which acquire dynamical masses. By employing the full power of the effective field theory, we investigate the applicability of these IR theories as inflationary models (natural, monodromy, Starobinsky) and connect different types of inflationary scenarios to different phases of the non-Abelian gauge theory or the Nambu-Jona-Lasinio four-fermion couplings. The back-reaction of the infladrons flattens the axion potential in natural-like inflationary models, such that the tension with current CMB data with respect to the spectral index and the tensor-to-scalar ratio can be partially alleviated.

9.107946

9.894019

9.776105

9.443388

9.242336

9.669355

9.624953

9.254457

8.864161

10.797794

9.075038

8.855906

9.187862

8.910215

8.828856

8.925121

8.996068

8.803984

8.923862

9.245041

8.727706

2101.06230

Vaios Ziogas

Aristomenis Donos, Christiana Pantelidou and Vaios Ziogas

Incoherent hydrodynamics of density waves in magnetic fields

50 pages, 4 figures; v2: references added; v3 added panel in figure 2 and minor comments, added references, published version

null

10.1007/JHEP05(2021)270

DCPT-21/01, CPHT-RR001.012021

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We use holography to derive effective theories of fluctuations in spontaneously broken phases of systems with finite temperature, chemical potential, magnetic field and momentum relaxation in which the order parameters break translations. We analytically construct the hydrodynamic modes corresponding to the coupled thermoelectric and density wave fluctuations and all of them turn out to be purely diffusive for our system. Upon introducing pinning for the density waves, some of these modes acquire not only a gap, but also a finite resonance due to the magnetic field. Finally, we study the optical properties and perform numerical checks of our analytical results. A crucial byproduct of our analysis is the identification of the correct current which describes the transport of heat in our system.

[ { "created": "Fri, 15 Jan 2021 17:30:58 GMT", "version": "v1" }, { "created": "Wed, 3 Feb 2021 12:18:15 GMT", "version": "v2" }, { "created": "Wed, 5 May 2021 08:54:29 GMT", "version": "v3" } ]

2021-06-16

[ [ "Donos", "Aristomenis", "" ], [ "Pantelidou", "Christiana", "" ], [ "Ziogas", "Vaios", "" ] ]

We use holography to derive effective theories of fluctuations in spontaneously broken phases of systems with finite temperature, chemical potential, magnetic field and momentum relaxation in which the order parameters break translations. We analytically construct the hydrodynamic modes corresponding to the coupled thermoelectric and density wave fluctuations and all of them turn out to be purely diffusive for our system. Upon introducing pinning for the density waves, some of these modes acquire not only a gap, but also a finite resonance due to the magnetic field. Finally, we study the optical properties and perform numerical checks of our analytical results. A crucial byproduct of our analysis is the identification of the correct current which describes the transport of heat in our system.

14.626674

14.220256

15.94137

13.146076

13.567129

13.847566

13.896992

14.736335

13.142286

17.552212

13.519758

14.353835

15.71081

14.704009

14.103488

14.246321

14.46952

14.493885

14.250506

15.769743

13.896541

1607.02610

Chiang-Mei Chen

Chiang-Mei Chen, Sang Pyo Kim, Jia-Rui Sun, Fu-Yi Tang

Pair Production in Near Extremal Kerr-Newman Black Holes

13 pages, 3 figures, revtex4

Phys. Rev. D 95, 044043 (2017)

10.1103/PhysRevD.95.044043

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The spontaneous pair production of charged scalars in a near extremal Kerr-Newman (KN) black hole is analytically studied. It is shown that the existence condition for the pair production is equivalent to the violation of the Breitenlohner-Freedman bound in an AdS$_2$ space. The mean number of produced pairs in the extremal black hole has a thermal interpretation, in which the effective temperature for the Schwinger effect in the AdS$_2$ space persistently holds, while the mean number in the near extremal black hole has an additional factor of the Schwinger effect in the Rindler space. In addition, the holographic dual conformal field theory (CFT) descriptions of the charged scalar pair production are respectively realized both in the $J$ and $Q$ pictures in terms of the KN/CFTs correspondence.

[ { "created": "Sat, 9 Jul 2016 13:18:20 GMT", "version": "v1" } ]

2017-03-08

[ [ "Chen", "Chiang-Mei", "" ], [ "Kim", "Sang Pyo", "" ], [ "Sun", "Jia-Rui", "" ], [ "Tang", "Fu-Yi", "" ] ]

The spontaneous pair production of charged scalars in a near extremal Kerr-Newman (KN) black hole is analytically studied. It is shown that the existence condition for the pair production is equivalent to the violation of the Breitenlohner-Freedman bound in an AdS$_2$ space. The mean number of produced pairs in the extremal black hole has a thermal interpretation, in which the effective temperature for the Schwinger effect in the AdS$_2$ space persistently holds, while the mean number in the near extremal black hole has an additional factor of the Schwinger effect in the Rindler space. In addition, the holographic dual conformal field theory (CFT) descriptions of the charged scalar pair production are respectively realized both in the $J$ and $Q$ pictures in terms of the KN/CFTs correspondence.

7.116601

6.283319

6.756137

6.154788

6.452008

6.667459

6.626809

6.435689

6.534342

6.979104

6.22864

6.702034

6.864036

6.67104

6.632284

6.531872

6.467354

6.598925

6.706471

7.030288

6.636836

0809.2778

Daniel Ferrante

D. D. Ferrante, G. S. Guralnik

Phase Transitions and Moduli Space Topology

24 pages, 21 figures

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

By means of an appropriate re-scaling of the metric in a Lagrangian, we are able to reduce it to a kinetic term only. This form enables us to examine the extended complexified solution set (complex moduli space) of field theories by finding all possible geodesics of this metric. This new geometrical standpoint sheds light on some foundational issues of QFT and brings to the forefront non-perturbative core aspects of field theory. In this process, we show that different phases of the theory are topologically inequivalent, i.e., their moduli space has distinct topologies. Moreover, the different phases are related by "duality transformations", which are established by the modular structure of the theory. In conclusion, after the topological structure is elucidated, it is possible to use the Euler Characteristic in order to topologically quantize the theory, in resonance with the content of the Atiyah-Singer Index theorem.

[ { "created": "Tue, 16 Sep 2008 19:45:10 GMT", "version": "v1" } ]

2008-09-17

[ [ "Ferrante", "D. D.", "" ], [ "Guralnik", "G. S.", "" ] ]

By means of an appropriate re-scaling of the metric in a Lagrangian, we are able to reduce it to a kinetic term only. This form enables us to examine the extended complexified solution set (complex moduli space) of field theories by finding all possible geodesics of this metric. This new geometrical standpoint sheds light on some foundational issues of QFT and brings to the forefront non-perturbative core aspects of field theory. In this process, we show that different phases of the theory are topologically inequivalent, i.e., their moduli space has distinct topologies. Moreover, the different phases are related by "duality transformations", which are established by the modular structure of the theory. In conclusion, after the topological structure is elucidated, it is possible to use the Euler Characteristic in order to topologically quantize the theory, in resonance with the content of the Atiyah-Singer Index theorem.

12.774199

12.438374

13.322968

11.687769

12.341527

11.606776

11.72854

11.914192

12.035828

14.133389

11.75532

11.980501

12.520432

12.063839

12.01532

12.076913

12.030718

11.921776

12.017216

12.402672

11.835245

1101.2444

Don N. Page

Preliminary Inconclusive Hint of Evidence Against Optimal Fine Tuning of the Cosmological Constant for Maximizing the Fraction of Baryons Becoming Life

12 pages, LaTeX, greatly revised to express the uncertainty as to whether a higher fraction of baryons condensing into galaxies implies a higher fraction of baryons forming life

null

Alberta-Thy-02-11

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The effective coupling `constants' of physics, especially the cosmological constant, are observed to have highly biophilic values. If this is not a hugely improbable accident, or a consequence of some mysterious logical necessity or of some simple principle of physics, it might be explained as a consequence either of an observership selection principle within a multiverse of many sets of effective coupling constants, or else of some biophilic principle that fine tunes the constants of physics to optimize life. Here a very preliminary inconclusive hint of evidence is presented against the hypothesis of optimal fine tuning of the cosmological constant by a biophilic principle that would maximize the fraction of baryons that form living organisms or observers.

[ { "created": "Wed, 12 Jan 2011 21:00:01 GMT", "version": "v1" }, { "created": "Fri, 28 Jan 2011 20:56:20 GMT", "version": "v2" } ]

2011-01-31

[ [ "Page", "Don N.", "" ] ]

The effective coupling `constants' of physics, especially the cosmological constant, are observed to have highly biophilic values. If this is not a hugely improbable accident, or a consequence of some mysterious logical necessity or of some simple principle of physics, it might be explained as a consequence either of an observership selection principle within a multiverse of many sets of effective coupling constants, or else of some biophilic principle that fine tunes the constants of physics to optimize life. Here a very preliminary inconclusive hint of evidence is presented against the hypothesis of optimal fine tuning of the cosmological constant by a biophilic principle that would maximize the fraction of baryons that form living organisms or observers.

17.287895

18.978083

15.673553

16.926434

18.153862

20.800911

16.386757

17.889589

16.760118

18.732574

16.858446

16.589222

16.64039

15.871789

15.097703

16.469305

16.362619

15.317719

16.427866

16.105761

15.58527

hep-th/0703211

Stefan Groot Nibbelink

S. Groot Nibbelink, H.P. Nilles, M. Trapletti

Multiple anomalous U(1)s in heterotic blow-ups

7 pages LaTeX

Phys.Lett.B652:124-127,2007

10.1016/j.physletb.2007.07.007

HD-THEP-07-07, SIAS-CMTP-07-2

hep-th

null

The existence of multiple anomalous U(1)s is demonstrated explicitly in a blow-up version of a heterotic Z_3 orbifold. Another blow-up of the same orbifold supports further evidence for the type-I/heterotic duality in four dimensions. It has a single anomalous U(1) which does not factorize universally. As multiple anomalous U(1)s as well as non-universal factorization have never been established on heterotic orbifolds explicitely, these findings might appear contradictory at first sight. Possible inconsistencies are avoided by reinterpreting a charged twisted state as a second non-universal localized axion. The mismatch between the charges of the orbifold and blow-up spectra is resolved by suitable field redefinitions. The anomaly of the field redefinitions corresponds to the difference of blow-up and heterotic orbifold anomalies.

[ { "created": "Fri, 23 Mar 2007 12:52:16 GMT", "version": "v1" }, { "created": "Thu, 19 Jul 2007 10:59:28 GMT", "version": "v2" } ]

2008-11-26

[ [ "Nibbelink", "S. Groot", "" ], [ "Nilles", "H. P.", "" ], [ "Trapletti", "M.", "" ] ]

The existence of multiple anomalous U(1)s is demonstrated explicitly in a blow-up version of a heterotic Z_3 orbifold. Another blow-up of the same orbifold supports further evidence for the type-I/heterotic duality in four dimensions. It has a single anomalous U(1) which does not factorize universally. As multiple anomalous U(1)s as well as non-universal factorization have never been established on heterotic orbifolds explicitely, these findings might appear contradictory at first sight. Possible inconsistencies are avoided by reinterpreting a charged twisted state as a second non-universal localized axion. The mismatch between the charges of the orbifold and blow-up spectra is resolved by suitable field redefinitions. The anomaly of the field redefinitions corresponds to the difference of blow-up and heterotic orbifold anomalies.

12.815127

12.617397

13.331344

11.851379

12.493517

12.897117

12.113345

12.076516

11.54422

13.40275

12.224058

11.393476

12.938285

11.937128

11.781381

12.028696

11.51365

12.137857

11.808959

12.331674

11.70537

2211.07813

Kaito Nasu

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu, Shohei Takada, Hikaru Uchida

Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation

70 pages, 3 figures, v2: published version

JHEP06(2023)013

10.1007/JHEP06(2023)013

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study fermion zero-mode wavefunctions on $T^4/Z_N$ orbifold with background magnetic fluxes. The number of zero-modes is analyzed by use of $Sp(4,\mathbb{Z})$ modular transformation. Conditions needed to realize three generation models are clarified. We also study parity transformation in the compact space which leads to better understanding of relationship between positive and negative chirality wavefunctions.

[ { "created": "Tue, 15 Nov 2022 00:35:39 GMT", "version": "v1" }, { "created": "Wed, 14 Jun 2023 05:35:11 GMT", "version": "v2" } ]

2023-06-16

[ [ "Kikuchi", "Shota", "" ], [ "Kobayashi", "Tatsuo", "" ], [ "Nasu", "Kaito", "" ], [ "Takada", "Shohei", "" ], [ "Uchida", "Hikaru", "" ] ]

We study fermion zero-mode wavefunctions on $T^4/Z_N$ orbifold with background magnetic fluxes. The number of zero-modes is analyzed by use of $Sp(4,\mathbb{Z})$ modular transformation. Conditions needed to realize three generation models are clarified. We also study parity transformation in the compact space which leads to better understanding of relationship between positive and negative chirality wavefunctions.

11.518276

9.257412

10.225265

8.672359

9.903756

8.34354

9.025182

9.385176

9.325546

10.566043

8.673661

9.320101

10.248328

9.510815

9.167409

9.446631

9.537547

9.446187

9.486728

10.432141

9.953535

2001.03633

Evan McDonough

The Cosmological Heavy Ion Collider: Fast Thermalization after Cosmic Inflation

7 pages. v2: references added. v3: matches published version

Physics Letters B, Volume 809, 2020, 135755

10.1016/j.physletb.2020.135755

null

hep-th astro-ph.CO gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Heavy-ion colliders have revealed the process of "fast thermalization". This experimental breakthrough has led to new theoretical tools to study the thermalization process at both weak and strong coupling. We apply this to the reheating epoch of inflationary cosmology, and the formation of a cosmological quark gluon plasma (QGP). We compute the thermalization time of the QGP at reheating, and find it is determined by the energy scale of inflation and the shear viscosity to entropy ratio $\eta/s$; or equivalently, the tensor-to-scalar ratio and the strong coupling constant at the epoch of thermalization. Thermalization is achieved near-instantaneously in low-scale inflation and in strongly coupled systems, and takes of order or less than a single e-fold of expansion for weakly-coupled systems or after high-scale inflation. We demonstrate that the predictions of inflation are robust to the physics of thermalization, and find a stochastic background of gravitational waves at frequencies accessible by interferometers, albeit with a small amplitude.

[ { "created": "Fri, 10 Jan 2020 19:03:30 GMT", "version": "v1" }, { "created": "Tue, 11 Feb 2020 16:50:39 GMT", "version": "v2" }, { "created": "Thu, 17 Sep 2020 16:58:17 GMT", "version": "v3" } ]

2020-09-18

[ [ "McDonough", "Evan", "" ] ]

Heavy-ion colliders have revealed the process of "fast thermalization". This experimental breakthrough has led to new theoretical tools to study the thermalization process at both weak and strong coupling. We apply this to the reheating epoch of inflationary cosmology, and the formation of a cosmological quark gluon plasma (QGP). We compute the thermalization time of the QGP at reheating, and find it is determined by the energy scale of inflation and the shear viscosity to entropy ratio $\eta/s$; or equivalently, the tensor-to-scalar ratio and the strong coupling constant at the epoch of thermalization. Thermalization is achieved near-instantaneously in low-scale inflation and in strongly coupled systems, and takes of order or less than a single e-fold of expansion for weakly-coupled systems or after high-scale inflation. We demonstrate that the predictions of inflation are robust to the physics of thermalization, and find a stochastic background of gravitational waves at frequencies accessible by interferometers, albeit with a small amplitude.

8.560051

9.257748

8.841677

8.902244

9.905847

10.12559

9.198542

9.298194

8.854378

9.419146

8.811879

8.622253

8.898912

8.724023

9.163331

8.630744

8.792084

8.33699

9.018419

9.108763

8.617504

1211.6917

Jiang Long

Bin Chen, Jiang Long and Yi-Nan Wang

D2 Chern-Simons Gravity

25 pages

null

10.1103/PhysRevD.88.066007

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the theory that contains two spin-2 fields. This theory can be regarded as a simplified version of higher spin gravity in AdS3. It can be formulated either in the first order formulation or in the second order formulation. From the first order formulation we construct the black holes in the theory and study the thermodynamics of this black holes with the help of dual holographic OPE. From the higher spin point of view, this black hole is most naturally regarded as a black hole with a spin-2 hair. In the second order formulation, we obtain an action for the metric and extra spin-2 fields and analyze the corresponding black holes. Even though for some simple cases, the conventional notions, such as the horizon, may help us to read part of the information of the black hole, they break down in generic cases. On the other hand, the action in the second order formulation could be rewritten in the form of a decoupled AdS3 bi-gravity. Moreover, the entropy of the black hole with the spin-2 hair could be reproduced from the AdS3 bi-gravity in the Euclidean path-integral formalism.

[ { "created": "Thu, 29 Nov 2012 14:00:58 GMT", "version": "v1" }, { "created": "Mon, 16 Sep 2013 15:08:56 GMT", "version": "v2" } ]

2013-09-25

[ [ "Chen", "Bin", "" ], [ "Long", "Jiang", "" ], [ "Wang", "Yi-Nan", "" ] ]

We study the theory that contains two spin-2 fields. This theory can be regarded as a simplified version of higher spin gravity in AdS3. It can be formulated either in the first order formulation or in the second order formulation. From the first order formulation we construct the black holes in the theory and study the thermodynamics of this black holes with the help of dual holographic OPE. From the higher spin point of view, this black hole is most naturally regarded as a black hole with a spin-2 hair. In the second order formulation, we obtain an action for the metric and extra spin-2 fields and analyze the corresponding black holes. Even though for some simple cases, the conventional notions, such as the horizon, may help us to read part of the information of the black hole, they break down in generic cases. On the other hand, the action in the second order formulation could be rewritten in the form of a decoupled AdS3 bi-gravity. Moreover, the entropy of the black hole with the spin-2 hair could be reproduced from the AdS3 bi-gravity in the Euclidean path-integral formalism.

7.215728

7.308536

7.741512

6.98905

7.622536

7.44711

7.274593

6.928436

7.307017

7.727326

6.877581

7.068841

7.180806

6.985754

6.996322

7.001461

7.270844

6.982497

7.116851

7.166764

7.004257

2402.09767

Yusuke Yamada

Hiroyuki Abe, Akinari Koichi, Yusuke Yamada

One-loop vacuum energy in 10D super-Yang-Mills theory on magnetized tori with/without 4D N=1 supersymmetric completion

35 pages, 4 figures

null

WU-HEP-24-01

hep-th hep-ph

http://creativecommons.org/licenses/by/4.0/

We discuss the behavior of the one-loop vacuum energy of 10 dimensional (10D) super Yang-Mills theory on magnetized tori $\mathbb{R}^{1,3}\times (\mathbb{T}^2)^3$ in the presence of the Abelian magnetic fluxes, including all the contributions from Kaluza-Klein (KK) modes. Higher-dimensional super Yang-Mills action is known to be repackaged in terms of 4D $\mathcal{N}=1$ superfield. We, however, find that such a superspace action differs from the original 10D super Yang-Mills action in the presence of magnetic fluxes. We show that the KK mass spectrum and hence the vacuum energy computed from these two actions differ from each other. In particular, we find that the UV divergence of the vacuum energy based on the original action precisely cancels independently of flux configuration whereas that based on the superspace completion does only when flux configuration preserves supersymmetry, which implies spontaneous or explicit breaking of hidden extended supersymmetry.

[ { "created": "Thu, 15 Feb 2024 07:39:06 GMT", "version": "v1" } ]

2024-02-16

[ [ "Abe", "Hiroyuki", "" ], [ "Koichi", "Akinari", "" ], [ "Yamada", "Yusuke", "" ] ]

We discuss the behavior of the one-loop vacuum energy of 10 dimensional (10D) super Yang-Mills theory on magnetized tori $\mathbb{R}^{1,3}\times (\mathbb{T}^2)^3$ in the presence of the Abelian magnetic fluxes, including all the contributions from Kaluza-Klein (KK) modes. Higher-dimensional super Yang-Mills action is known to be repackaged in terms of 4D $\mathcal{N}=1$ superfield. We, however, find that such a superspace action differs from the original 10D super Yang-Mills action in the presence of magnetic fluxes. We show that the KK mass spectrum and hence the vacuum energy computed from these two actions differ from each other. In particular, we find that the UV divergence of the vacuum energy based on the original action precisely cancels independently of flux configuration whereas that based on the superspace completion does only when flux configuration preserves supersymmetry, which implies spontaneous or explicit breaking of hidden extended supersymmetry.

6.37156

6.314003

6.747522

6.218855

6.433473

6.219931

6.884609

6.359456

6.014027

6.768295

6.064721

6.268553

6.361833

6.150045

6.268433

6.400493

6.353715

6.187851

6.052231

6.377495

6.061754

hep-th/9601175

Michael Dine

Michael Dine and Yuri Shirman

Truly Strong Coupling and Large Radius in String Theory

10 pages, no figures. Typos corrected

Phys.Lett. B377 (1996) 36-42

10.1016/0370-2693(96)00316-4

SCIPP 96/07

hep-th

null

String theory, if it describes nature, is probably strongly coupled. In light of recent developments in string duality, this means that the ``real world'' should correspond to a region of the classical moduli space which admits no weak coupling description. We exhibit, in the heterotic string, one such region of the moduli space, in which the coupling, $\lambda$, is large and the ``compactification radius'' scales as $\lambda^{1/3}$. We discuss some of the issues raised by the conjecture that the true vacuum lies in such a region. These include the question of coupling constant unification, and more generally the problem of what quantities one might hope to calculate and compare with experiment in such a picture.

[ { "created": "Wed, 31 Jan 1996 21:26:27 GMT", "version": "v1" }, { "created": "Thu, 1 Feb 1996 20:45:42 GMT", "version": "v2" }, { "created": "Mon, 5 Feb 1996 20:23:43 GMT", "version": "v3" } ]

2009-10-30

[ [ "Dine", "Michael", "" ], [ "Shirman", "Yuri", "" ] ]

String theory, if it describes nature, is probably strongly coupled. In light of recent developments in string duality, this means that the ``real world'' should correspond to a region of the classical moduli space which admits no weak coupling description. We exhibit, in the heterotic string, one such region of the moduli space, in which the coupling, $\lambda$, is large and the ``compactification radius'' scales as $\lambda^{1/3}$. We discuss some of the issues raised by the conjecture that the true vacuum lies in such a region. These include the question of coupling constant unification, and more generally the problem of what quantities one might hope to calculate and compare with experiment in such a picture.

8.476478

7.854695

7.861091

7.127448

7.770107

7.678578

8.299486

7.1263

7.456902

8.880369

7.314706

7.54925

7.5741

7.507048

7.652629

7.577812

7.38468

7.472296

7.510352

7.44841

7.564382

hep-th/0212064

Elisabeth Kraus

E. Kraus, C. Rupp, K. Sibold

Supersymmetric Yang-Mills theories with local coupling: The supersymmetric gauge

References corrected

Nucl.Phys. B661 (2003) 83-98

10.1016/S0550-3213(03)00295-5

BN-TH-06-2002, KA-TP-21-2002, LU-ITP 2002/025

hep-th hep-ph

null

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino gauge and there identified as an anomaly of supersymmetry. In a manifest supersymmetric formulation the anomaly appears in two other identities: The first one describes the non-renormalization of the topological term, the second relates the renormalization of the gauge coupling to the renormalization of the complex supercoupling. Only one of the two identities can be maintained in perturbation theory. We discuss the two versions and derive the respective beta function of the local supercoupling, which is non-holomorphic in the first version, but directly related to the coupling renormalization, and holomorphic in the second version, but has a non-trivial, i.e.anomalous, relation to the beta function of the gauge coupling.

[ { "created": "Thu, 5 Dec 2002 10:51:27 GMT", "version": "v1" }, { "created": "Thu, 12 Dec 2002 11:24:20 GMT", "version": "v2" } ]

2010-04-05

[ [ "Kraus", "E.", "" ], [ "Rupp", "C.", "" ], [ "Sibold", "K.", "" ] ]

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino gauge and there identified as an anomaly of supersymmetry. In a manifest supersymmetric formulation the anomaly appears in two other identities: The first one describes the non-renormalization of the topological term, the second relates the renormalization of the gauge coupling to the renormalization of the complex supercoupling. Only one of the two identities can be maintained in perturbation theory. We discuss the two versions and derive the respective beta function of the local supercoupling, which is non-holomorphic in the first version, but directly related to the coupling renormalization, and holomorphic in the second version, but has a non-trivial, i.e.anomalous, relation to the beta function of the gauge coupling.

7.844523

6.943357

7.289402

6.747746

7.091897

6.792424

7.082433

6.808587

6.745087

7.646703

6.919102

6.909776

7.089257

6.826713

6.910887

7.252155

7.174683

6.980715

7.001489

7.355218

6.856615

1002.3058

Massimo Bianchi

Massimo Bianchi and Luca Lopez

Pair Production of small Black Holes in Heterotic String Theories

33 pages

JHEP 1007:065,2010

10.1007/JHEP07(2010)065

ROM2F/2010/03

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study pair production of small BPS BH's in heterotic strings compactified on tori and in the FHSV model. After recalling the identification of small BH's in the perturbative BPS spectrum, we compute the tree-level amplitudes for processes initiated by massless vector bosons or gravitons. We then analyze the resulting cross sections in terms of energy and angular distributions. Finally, we briefly comment on scenari with large extra dimensions and on generalizations of our results to non-BPS, non-extremal and rotating BH's.

[ { "created": "Tue, 16 Feb 2010 17:25:59 GMT", "version": "v1" } ]

2014-11-20

[ [ "Bianchi", "Massimo", "" ], [ "Lopez", "Luca", "" ] ]

We study pair production of small BPS BH's in heterotic strings compactified on tori and in the FHSV model. After recalling the identification of small BH's in the perturbative BPS spectrum, we compute the tree-level amplitudes for processes initiated by massless vector bosons or gravitons. We then analyze the resulting cross sections in terms of energy and angular distributions. Finally, we briefly comment on scenari with large extra dimensions and on generalizations of our results to non-BPS, non-extremal and rotating BH's.

10.514256

9.321699

10.688387

9.302609

9.419775

10.367372

9.0176

9.553483

9.323143

10.821548

9.700757

9.607663

9.583423

9.454328

9.255811

9.568886

9.150642

9.718422

9.636023

9.811798

9.502571

hep-th/0303041

Constantin Bachas

The scientific work of Sonia Stanciu

5 pages, latex, uses iopart.cls and iopart12.clo

Class.Quant.Grav. 20 (2003) S411-S416

10.1088/0264-9381/20/12/305

null

hep-th

null

The Leuven workshop on the `Quantum Structure of Space-time and the Geometrical Nature of the Fundamental Interactions' had a special session dedicated to the memory of Sonia Stanciu. This is the summary of a talk delivered by the author on this occasion.

[ { "created": "Thu, 6 Mar 2003 08:36:02 GMT", "version": "v1" } ]

2009-11-10

[ [ "Bachas", "Constantin", "" ] ]

The Leuven workshop on the `Quantum Structure of Space-time and the Geometrical Nature of the Fundamental Interactions' had a special session dedicated to the memory of Sonia Stanciu. This is the summary of a talk delivered by the author on this occasion.

12.374113

12.627091

15.316106

11.646427

12.358764

11.161194

10.76061

11.12211

12.851748

14.376995

10.392437

8.459563

11.417128

10.383486

9.0118

8.462761

9.840232

10.15847

10.011792

11.545911

9.293292

hep-th/9712134

Park daegil

D.K.Park and Sahng-Kyoon Yoo

Equivalence of renormalization with self-adjoint extension in Green's function formalism

8 pages, Revtex

null

hep-th

null

Energy-dependent Green's functions for the two and three dimensional $\delta$-function plus harmonic oscillator potential systems are derived by incorporating the renormalization and the self-adjoint extension into the Green's function formalism, respectively. It is shown that both methods yield an identical Green's function if a certain relation between the self-adjoint extension parameter and the renormalized coupling constant is imposed.

[ { "created": "Mon, 15 Dec 1997 07:31:40 GMT", "version": "v1" } ]

2007-05-23

[ [ "Park", "D. K.", "" ], [ "Yoo", "Sahng-Kyoon", "" ] ]

Energy-dependent Green's functions for the two and three dimensional $\delta$-function plus harmonic oscillator potential systems are derived by incorporating the renormalization and the self-adjoint extension into the Green's function formalism, respectively. It is shown that both methods yield an identical Green's function if a certain relation between the self-adjoint extension parameter and the renormalized coupling constant is imposed.

7.89837

6.264243

7.730984

7.009734

6.540224

6.612578

6.537664

6.581079

5.891515

8.181614

7.292198

6.425704

7.278636

6.526373

6.54741

6.157715

6.416166

6.493748

6.56366

7.476329

6.421018

hep-th/9709011

Klaus Fredenhagen

Romeo Brunetti and Klaus Fredenhagen

Interacting Quantum Fields on a Curved Background

6 pages, latex, contribution to the Proceedings of the ICMP Brisbane 1997

null

hep-th

null

A renormalized perturbative expansion of interacting quantum fields on a globally hyperbolic spacetime is performed by adapting the Bogoliubov Epstein Glaser method to a curved background. The results heavily rely on techniques from microlocal analysis, in particular on Radzikowski's characterization of Hadamard states by wave front sets of Wightman functions.

[ { "created": "Mon, 1 Sep 1997 15:40:22 GMT", "version": "v1" } ]

2007-05-23

[ [ "Brunetti", "Romeo", "" ], [ "Fredenhagen", "Klaus", "" ] ]

A renormalized perturbative expansion of interacting quantum fields on a globally hyperbolic spacetime is performed by adapting the Bogoliubov Epstein Glaser method to a curved background. The results heavily rely on techniques from microlocal analysis, in particular on Radzikowski's characterization of Hadamard states by wave front sets of Wightman functions.

6.520087

8.76895

6.502518

6.949029

7.011516

7.980556

9.282253

7.958061

7.362082

8.350755

7.6107

6.569788

6.416779

5.948941

6.573804

6.356435

6.424411

6.033582

5.727342

6.356872

6.04828

hep-th/0308166

Edi Halyo

Gravitational Entropy and String Bits on the Stretched Horizon

15 pages in phyzzx.tex, minor corrections, one reference added

null

hep-th

null

We show that the entropy of Schwarzschild black holes in any dimension can be described by a gas of free string bits at the stretched horizon. The number of string bits is equal to the black hole entropy and energy dependent. For an asymptotic observer the bit gas is at the Hawking temperature. We show that the same description is also valid for de Sitter space--times in any dimension.

[ { "created": "Mon, 25 Aug 2003 13:52:02 GMT", "version": "v1" }, { "created": "Mon, 8 Sep 2003 19:11:43 GMT", "version": "v2" } ]

2007-05-23

[ [ "Halyo", "Edi", "" ] ]

We show that the entropy of Schwarzschild black holes in any dimension can be described by a gas of free string bits at the stretched horizon. The number of string bits is equal to the black hole entropy and energy dependent. For an asymptotic observer the bit gas is at the Hawking temperature. We show that the same description is also valid for de Sitter space--times in any dimension.

8.393272

6.725947

7.72331

6.502431

6.82367

6.890266

6.964181

6.828027

6.561271

8.345822

7.109482

6.954257

7.59722

7.143168

7.033321

7.267566

7.108483

7.465394

7.109318

7.619799

7.251114

hep-th/0703282

Nathan Berkovits

Nathan Berkovits (IFT-UNESP, Sao Paulo)

A New Limit of the AdS_5 x S^5 Sigma Model

33 pages harvmac, added references and fixed typos

JHEP0708:011,2007

10.1088/1126-6708/2007/08/011

IFT-P.06/2007

hep-th

null

Using the pure spinor formalism, a quantizable sigma model has been constructed for the superstring in an AdS_5 x S^5 background with manifest PSU(2,2|4) invariance. The PSU(2,2|4) metric g_{AB} has both vector components g_{ab} and spinor components g_{alpha beta}, and in the limit where the spinor components g_{alpha beta} are taken to infinity, the AdS_5 x S^5 sigma model reduces to the worldsheet action in a flat background. In this paper, we instead consider the limit where the vector components g_{ab} are taken to infinity. In this limit, the AdS_5 x S^5 sigma model simplifies to a topological A-model constructed from fermionic N=2 superfields whose bosonic components transform like twistor variables. Just as d=3 Chern-Simons theory can be described by the open string sector of a topological A-model, the open string sector of this topological A-model describes d=4 N=4 super-Yang-Mills. These results might be useful for constructing a worldsheet proof of the Maldacena conjecture analogous to the Gopakumar-Vafa-Ooguri worldsheet proof of Chern-Simons/conifold duality.

[ { "created": "Fri, 30 Mar 2007 18:29:57 GMT", "version": "v1" }, { "created": "Sun, 1 Apr 2007 12:57:03 GMT", "version": "v2" } ]

2008-11-26

[ [ "Berkovits", "Nathan", "", "IFT-UNESP, Sao Paulo" ] ]

Using the pure spinor formalism, a quantizable sigma model has been constructed for the superstring in an AdS_5 x S^5 background with manifest PSU(2,2|4) invariance. The PSU(2,2|4) metric g_{AB} has both vector components g_{ab} and spinor components g_{alpha beta}, and in the limit where the spinor components g_{alpha beta} are taken to infinity, the AdS_5 x S^5 sigma model reduces to the worldsheet action in a flat background. In this paper, we instead consider the limit where the vector components g_{ab} are taken to infinity. In this limit, the AdS_5 x S^5 sigma model simplifies to a topological A-model constructed from fermionic N=2 superfields whose bosonic components transform like twistor variables. Just as d=3 Chern-Simons theory can be described by the open string sector of a topological A-model, the open string sector of this topological A-model describes d=4 N=4 super-Yang-Mills. These results might be useful for constructing a worldsheet proof of the Maldacena conjecture analogous to the Gopakumar-Vafa-Ooguri worldsheet proof of Chern-Simons/conifold duality.

4.832477

5.161183

5.767854

4.672927

5.014894

5.032053

5.13361

5.006585

5.124031

5.411474

4.893965

4.893629

5.003166

4.819186

5.02189

4.921945

4.956025

4.943459

4.83475

4.947951

4.880353

1412.8302

Koichi Nagasaki

Koichi Nagasaki and Satoshi Yamaguchi

Two-dimensional superconformal field theories from Riemann surfaces with boundary

15 pages, 1 figure, v3: referenses, comments added and correct some typos

Phys. Rev. D 91, 065025 (2015)

10.1103/PhysRevD.91.065025

OU-HET 846, IPMU14-0365

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider a 2-dimensional conformal field theory (CFT) obtained from twisted compactification of the 4-dimensional N=4 super Yang-Mills theory on a Riemann surface with boundary. We find the boundary conditions to preserve some of the supersymmetry. In particular an N=(2,2) superconformal field theory is obtained from supersymmetry breaking due to the boundary from N=(4,4). In this case we calculate the central charge of the CFT and show its dependence on the topology of the Riemann surface.

[ { "created": "Mon, 29 Dec 2014 10:49:45 GMT", "version": "v1" }, { "created": "Tue, 10 Feb 2015 10:28:00 GMT", "version": "v2" }, { "created": "Mon, 16 Mar 2015 10:49:27 GMT", "version": "v3" } ]

2015-03-25

[ [ "Nagasaki", "Koichi", "" ], [ "Yamaguchi", "Satoshi", "" ] ]

We consider a 2-dimensional conformal field theory (CFT) obtained from twisted compactification of the 4-dimensional N=4 super Yang-Mills theory on a Riemann surface with boundary. We find the boundary conditions to preserve some of the supersymmetry. In particular an N=(2,2) superconformal field theory is obtained from supersymmetry breaking due to the boundary from N=(4,4). In this case we calculate the central charge of the CFT and show its dependence on the topology of the Riemann surface.

4.913692

4.533826

4.978536

4.262059

4.315661

4.231606

4.321121

4.325582

4.242924

5.421111

4.33495

4.592911

4.865743

4.586073

4.59832

4.738139

4.516687

4.569824

4.605858

4.715765

4.425713

1505.02160

Rak-Kyeong Seong

Amihay Hanany, Chiung Hwang, Hyungchul Kim, Jaemo Park, Rak-Kyeong Seong

Hilbert Series for Theories with Aharony Duals

42 pages, 5 figures, 3 tables

JHEP 1511:132,2015

10.1007/JHEP11(2015)132

IMPERIAL-TP-15-AH-01, KIAS-P14084

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The algebraic structure of moduli spaces of 3d N=2 supersymmetric gauge theories is studied by computing the Hilbert series which is a generating function that counts gauge invariant operators in the chiral ring. These U(N_c) theories with N_f flavors have Aharony duals and their moduli spaces receive contributions from both mesonic and monopole operators. In order to compute the Hilbert series, recently developed techniques for Coulomb branch Hilbert series in 3d N=4 are extended to 3d N=2. The Hilbert series computation leads to a general expression of the algebraic variety which represents the moduli space of the U(N_c) theory with N_f flavors and its Aharony dual theory. A detailed analysis of the moduli space is given, including an analysis of the various components of the moduli space.

[ { "created": "Fri, 8 May 2015 20:00:28 GMT", "version": "v1" } ]

2015-11-24

[ [ "Hanany", "Amihay", "" ], [ "Hwang", "Chiung", "" ], [ "Kim", "Hyungchul", "" ], [ "Park", "Jaemo", "" ], [ "Seong", "Rak-Kyeong", "" ] ]

The algebraic structure of moduli spaces of 3d N=2 supersymmetric gauge theories is studied by computing the Hilbert series which is a generating function that counts gauge invariant operators in the chiral ring. These U(N_c) theories with N_f flavors have Aharony duals and their moduli spaces receive contributions from both mesonic and monopole operators. In order to compute the Hilbert series, recently developed techniques for Coulomb branch Hilbert series in 3d N=4 are extended to 3d N=2. The Hilbert series computation leads to a general expression of the algebraic variety which represents the moduli space of the U(N_c) theory with N_f flavors and its Aharony dual theory. A detailed analysis of the moduli space is given, including an analysis of the various components of the moduli space.

5.699908

5.197549

6.054691

4.950934

5.41055

5.480041

5.119647

5.188358

4.953171

6.759558

5.091854

5.202397

5.523675

5.078751

4.974288

5.12388

5.133885

4.926867

5.116049

5.598214

5.115765

2111.11130

Nafiseh Karimimanesh

Nafiseh Karimimanesh and Sedigheh Deldar

Detection of monopoles and vortices in SU(2) Yang-Mills theory

13 pages, 1 figure some typo errors are corrected

Int. J. Mod. Phys. A Vol. 37, No. 01, 2150255 (2022)

10.1142/S0217751X21502559

null

hep-th

http://creativecommons.org/licenses/by/4.0/

Motivated by the correlated monopoles and vortices observed in lattice QCD, using Cho decomposition method and two successive gauge transformations which lead to the observation of configurations that include both monopoles and center vortices simultaneously, we obtain a Lagrangian density that explicitly indicates these two magnetic defects and the interaction between them.

[ { "created": "Mon, 22 Nov 2021 11:39:44 GMT", "version": "v1" }, { "created": "Tue, 23 Nov 2021 13:25:04 GMT", "version": "v2" } ]

2022-02-08

[ [ "Karimimanesh", "Nafiseh", "" ], [ "Deldar", "Sedigheh", "" ] ]

Motivated by the correlated monopoles and vortices observed in lattice QCD, using Cho decomposition method and two successive gauge transformations which lead to the observation of configurations that include both monopoles and center vortices simultaneously, we obtain a Lagrangian density that explicitly indicates these two magnetic defects and the interaction between them.

19.279821

17.160166

19.714808

14.718592

16.091682

17.191666

14.544983

15.158381

14.906893

20.318048

15.70076

17.057173

17.581686

16.950968

17.470774

17.515474

16.983957

18.726479

16.727108

18.047523

17.161848

1407.2413

Wenyu Wang

Wenyu Wang, Jian-Feng Wu, Si-Hong Zhou

A new regularization of loop integral, no divergence, no hierarchy problem

9 pages, 1 figure, minor changes, add more comments

null

hep-th hep-ph

http://creativecommons.org/licenses/by/3.0/

We find a new regularization scheme which is motivated by the Bose-Einstein condensation. The energy of the virtual particle is considered as discrete. Summing them and regulating the summation by the Riemann $\zeta$ function can give the result of loop integral. All the divergences vanish, we can get almost the same results as Dimensional Regularization. The prediction beyond Dimensional Regularization is also shown in the QED. The hierarchy problem of the radiative correction of scalar mass completely vanish.

[ { "created": "Wed, 9 Jul 2014 10:04:11 GMT", "version": "v1" }, { "created": "Wed, 3 Dec 2014 00:19:02 GMT", "version": "v2" } ]

2014-12-04

[ [ "Wang", "Wenyu", "" ], [ "Wu", "Jian-Feng", "" ], [ "Zhou", "Si-Hong", "" ] ]

We find a new regularization scheme which is motivated by the Bose-Einstein condensation. The energy of the virtual particle is considered as discrete. Summing them and regulating the summation by the Riemann $\zeta$ function can give the result of loop integral. All the divergences vanish, we can get almost the same results as Dimensional Regularization. The prediction beyond Dimensional Regularization is also shown in the QED. The hierarchy problem of the radiative correction of scalar mass completely vanish.

17.144283

17.103958

15.981579

15.5144

15.909935

17.067606

15.631067

16.566526

15.343079

15.686807

14.848054

15.805841

14.524645

14.599471

15.032014

15.549623

15.268214

15.031698

15.143169

14.385448

14.35948

1107.1928

Rajan Murgan

A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model

18 pages

JHEP 1109:059,2011

10.1007/JHEP09(2011)059

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider the infrared (IR) limit of the nonlinear integral equations (NLIEs) for the boundary supersymmetric sine-Gordon (BSSG) model, previously obtained from the NLIEs for the inhomogeneous open spin-1 XXZ quantum spin chain with general integrable boundary terms, for values of the boundary parameters which satisfy a certain constraint. In particular, we compute the boundary S matrix and determine the "lattice - IR" relation for the BSSG parameters.

[ { "created": "Mon, 11 Jul 2011 03:05:50 GMT", "version": "v1" } ]

2015-05-28

[ [ "Murgan", "Rajan", "" ] ]

We consider the infrared (IR) limit of the nonlinear integral equations (NLIEs) for the boundary supersymmetric sine-Gordon (BSSG) model, previously obtained from the NLIEs for the inhomogeneous open spin-1 XXZ quantum spin chain with general integrable boundary terms, for values of the boundary parameters which satisfy a certain constraint. In particular, we compute the boundary S matrix and determine the "lattice - IR" relation for the BSSG parameters.

8.39506

6.945222

11.345529

6.944716

6.472171

6.053592

6.961166

6.694375

7.244187

11.169662

7.226314

7.354797

9.077736

7.594049

7.357507

7.390691

6.969094

7.462237

7.576384

8.288372

7.400954

hep-th/0107036

Rabadan

R. Rabadan

Branes at angles, torons, stability and supersymmetry

35 pages, Latex file, 8 figures, A reference added

Nucl.Phys. B620 (2002) 152-180

10.1016/S0550-3213(01)00560-0

FTUAM-01/14; IFT-UAM/CSIC-01-22

hep-th

null

We elucidate some properties of the relation between two T-dual systems in tori, branes at angles and branes wrapping the whole torus carrying fluxes. We analyze different features of these systems: charges, low energy spectrum, tadpole cancellation, symmetry groups, ... and the correspondence between the two viewpoints. Particular attention is paid to supersymmetry and stability conditions. While on the branes at angles side stability and supersymmetry can be expressed as conditions on the angles between the two branes at the intersection, on the dual side supersymmetry has to do with a correction to Hermite Yang-Mills and a modified notion of stability should be considered.

[ { "created": "Thu, 5 Jul 2001 14:08:18 GMT", "version": "v1" }, { "created": "Tue, 10 Jul 2001 17:28:35 GMT", "version": "v2" }, { "created": "Wed, 5 Sep 2001 13:43:32 GMT", "version": "v3" } ]

2009-11-07

[ [ "Rabadan", "R.", "" ] ]

We elucidate some properties of the relation between two T-dual systems in tori, branes at angles and branes wrapping the whole torus carrying fluxes. We analyze different features of these systems: charges, low energy spectrum, tadpole cancellation, symmetry groups, ... and the correspondence between the two viewpoints. Particular attention is paid to supersymmetry and stability conditions. While on the branes at angles side stability and supersymmetry can be expressed as conditions on the angles between the two branes at the intersection, on the dual side supersymmetry has to do with a correction to Hermite Yang-Mills and a modified notion of stability should be considered.

14.081034

14.369308

14.145373

12.559073

13.565563

13.147853

13.554997

12.178599

13.481939

17.372227

13.059623

12.573557

14.308048

13.219172

12.499136

12.491125

12.509559

12.588237

12.997067

14.082344

13.068706

hep-th/0609194

Stanislav Kuperstein

Stanislav Kuperstein, Oded Mintkevich, Jacob Sonnenschein

On the pp-wave limit and the BMN structure of new Sasaki-Einstein spaces

21 pages, JHEP format, 5 figures, acknowledgement corrected

JHEP0612:059,2006

10.1088/1126-6708/2006/12/059

TAUP-2835-06, ULB-TH/06-20

hep-th

null

We construct the pp-wave string associated with the Penrose limit of $Y^{p,q}$ and $L^{p,q,r}$ families of Sasaki-Einstein geometries. We identify in the dual quiver gauge theories the chiral and the non-chiral operators that correspond to the ground state and the first excited states. We present an explicit identification in a prototype model of $L^{1,7,3}$.

[ { "created": "Wed, 27 Sep 2006 16:17:49 GMT", "version": "v1" }, { "created": "Fri, 6 Oct 2006 14:05:55 GMT", "version": "v2" } ]

2009-11-11

[ [ "Kuperstein", "Stanislav", "" ], [ "Mintkevich", "Oded", "" ], [ "Sonnenschein", "Jacob", "" ] ]

We construct the pp-wave string associated with the Penrose limit of $Y^{p,q}$ and $L^{p,q,r}$ families of Sasaki-Einstein geometries. We identify in the dual quiver gauge theories the chiral and the non-chiral operators that correspond to the ground state and the first excited states. We present an explicit identification in a prototype model of $L^{1,7,3}$.

9.544267

8.920663

11.434481

8.564538

8.469646

8.606193

9.527297

8.458609

7.588925

11.891512

8.348562

8.696319

9.0573

8.231441

8.895797

8.642845

8.179237

8.602816

8.730288

9.197615

8.372373

1606.03341

Leo Rodriguez

Ananda Guneratne, Leo Rodriguez, Sujeev Wickramasekara and Tuna Yildirim

On Quantum Microstates in the Near Extremal, Near Horizon Kerr Geometry

Invited contribution to the proceedings of Quantum Fest 2015, which is dedicated to the memory of Sujeev Wickramasekara who passed away suddenly on December 28th 2015. Article based on arXiv:1206.2261

Journal of Physics: Conference Series 698 (2016) 012010

10.1088/1742-6596/698/1/012010

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the thermodynamics of near horizon near extremal Kerr (NHNEK) geometry within the framework of $AdS_2/CFT_1$ correspondence. We start by shifting the horizon of near horizon extremal Kerr (NHEK) geometry by a general finite mass. While this shift does not alter the geometry in that the resulting classical solution is still diffeomorphic to the NHEK solution, it does lead to a quantum theory different from that of NHEK. We obtain this quantum theory by means of a Robinson-Wilczek two-dimensional Kaluza-Klein reduction which enables us to introduce a finite regulator on the $AdS_2$ boundary and compute the full asymptotic symmetry group of the two-dimensional quantum conformal field theory on the respective $AdS_2$ boundary. The s-wave contribution of the energy-momentum-tensor of this conformal field theory, together with the asymptotic symmetries, generate a Virasoro algebra with a calculable center, which agrees with the standard Kerr/$CFT$ result, and a non-vanishing lowest Virasoro eigenmode. The central charge and lowest eigenmode produce the Bekenstein-Hawking entropy and Hawking temperature for NHNEK.

[ { "created": "Fri, 10 Jun 2016 14:27:54 GMT", "version": "v1" } ]

2016-06-13

[ [ "Guneratne", "Ananda", "" ], [ "Rodriguez", "Leo", "" ], [ "Wickramasekara", "Sujeev", "" ], [ "Yildirim", "Tuna", "" ] ]

We study the thermodynamics of near horizon near extremal Kerr (NHNEK) geometry within the framework of $AdS_2/CFT_1$ correspondence. We start by shifting the horizon of near horizon extremal Kerr (NHEK) geometry by a general finite mass. While this shift does not alter the geometry in that the resulting classical solution is still diffeomorphic to the NHEK solution, it does lead to a quantum theory different from that of NHEK. We obtain this quantum theory by means of a Robinson-Wilczek two-dimensional Kaluza-Klein reduction which enables us to introduce a finite regulator on the $AdS_2$ boundary and compute the full asymptotic symmetry group of the two-dimensional quantum conformal field theory on the respective $AdS_2$ boundary. The s-wave contribution of the energy-momentum-tensor of this conformal field theory, together with the asymptotic symmetries, generate a Virasoro algebra with a calculable center, which agrees with the standard Kerr/$CFT$ result, and a non-vanishing lowest Virasoro eigenmode. The central charge and lowest eigenmode produce the Bekenstein-Hawking entropy and Hawking temperature for NHNEK.

7.485313

6.614858

7.926121

6.479169

6.244964

6.674331

6.288567

6.509031

6.648742

8.929657

6.598808

6.966788

7.404696

7.059793

7.377824

7.113265

7.306056

7.057079

7.072988

7.488165

7.064102

2109.07330

Francois Gieres

Covariant canonical formulations of classical field theories

178 pages, 9 figures, Dedicated to the memory of I. M. Singer, v4: Text cut modified above eq. (4.15)

SciPost Phys. Lect. Notes 77 (2023)

10.21468/SciPostPhysLectNotes.77

null

hep-th gr-qc math-ph math.MP

http://creativecommons.org/licenses/by/4.0/

We review in simple terms the covariant approaches to the canonical formulation of classical relativistic field theories (in particular gauge field theories and general relativity) and we discuss the relationships between these approaches as well as the relation with the standard (non-covariant) Hamiltonian formulation. Particular attention is paid to conservation laws (notably related to geometric symmetries) within the different approaches. Moreover, for each of these approaches, the impact of space-time boundaries is also addressed. To make the text accessible to a wider audience, we have included an outline of Poisson and symplectic geometry for both classical mechanics and field theory.

[ { "created": "Wed, 15 Sep 2021 14:38:03 GMT", "version": "v1" }, { "created": "Fri, 22 Oct 2021 15:56:14 GMT", "version": "v2" }, { "created": "Thu, 6 Jul 2023 16:04:02 GMT", "version": "v3" }, { "created": "Wed, 25 Oct 2023 15:23:02 GMT", "version": "v4" } ]

2023-12-06

[ [ "Gieres", "Francois", "" ] ]

We review in simple terms the covariant approaches to the canonical formulation of classical relativistic field theories (in particular gauge field theories and general relativity) and we discuss the relationships between these approaches as well as the relation with the standard (non-covariant) Hamiltonian formulation. Particular attention is paid to conservation laws (notably related to geometric symmetries) within the different approaches. Moreover, for each of these approaches, the impact of space-time boundaries is also addressed. To make the text accessible to a wider audience, we have included an outline of Poisson and symplectic geometry for both classical mechanics and field theory.

9.061548

8.186084

9.16555

7.765886

8.121634

8.089278

8.386497

8.449016

8.484776

9.309623

8.122786

8.449005

9.005219

8.161677

8.084787

8.391019

8.2523

8.038246

8.393837

8.58888

8.166251

hep-th/0212300

Delius

Gustav W Delius and Alan George

Quantum group symmetry of integrable models on the half-line

Contribution to the Proceedings of the Workshop on Integrable Theories, Solitons and Duality in Sao Paulo in July 2002, 11 pages, JHEP3 latex style

null

hep-th

null

This contribution to the Proceedings of the Workshop on Integrable Theories, Solitons and Duality in Sao Paulo in July 2002 summarizes results from the papers hep-th/0112023 and math.QA/0208043. We derive the non-local conserved charges in the sine-Gordon model and affine Toda field theories on the half-line. They generate new kinds of symmetry algebras that are coideals of the usual quantum groups. We show how intertwiners of tensor product representations of these algebras lead to solutions of the reflection equation. We describe how this method for finding solutions to the reflection equation parallels the previously known method of using intertwiners of quantum groups to find solutions to the Yang-Baxter equation.

[ { "created": "Wed, 25 Dec 2002 19:32:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Delius", "Gustav W", "" ], [ "George", "Alan", "" ] ]

This contribution to the Proceedings of the Workshop on Integrable Theories, Solitons and Duality in Sao Paulo in July 2002 summarizes results from the papers hep-th/0112023 and math.QA/0208043. We derive the non-local conserved charges in the sine-Gordon model and affine Toda field theories on the half-line. They generate new kinds of symmetry algebras that are coideals of the usual quantum groups. We show how intertwiners of tensor product representations of these algebras lead to solutions of the reflection equation. We describe how this method for finding solutions to the reflection equation parallels the previously known method of using intertwiners of quantum groups to find solutions to the Yang-Baxter equation.

7.479586

7.303853

9.262104

7.202177

7.153539

7.233177

7.852987

7.141923

7.079291

9.425217

7.290378

6.466165

7.97128

6.917755

6.83603

6.586162

6.642614

6.769497

6.988053

7.767453

6.681414

hep-th/9410166

Jean Avan

Jean Avan (LPTHE Paris 6/7, France) and Antal Jevicki (Physics Dept. Brown University, USA)

Collective Hamiltonians with Kac-Moody Algebraic Conditions

Additional results and references; Phyzztex

Nucl.Phys. B439 (1995) 679-691

10.1016/0550-3213(95)00015-K

null

hep-th

null

We describe the general framework for constructing collective--theory Hamiltonians whose hermicity requirements imply a Kac--Moody algebra of constraints on the associated Jacobian. We give explicit examples for the algebras $sl(2)_k$ and $sl(3)_k$. The reduction to $W_n$--constraints, relevant to $n$-matrix models, is described for the Jacobians.

[ { "created": "Fri, 21 Oct 1994 17:03:25 GMT", "version": "v1" }, { "created": "Wed, 7 Dec 1994 16:33:30 GMT", "version": "v2" } ]

2009-10-28

[ [ "Avan", "Jean", "", "LPTHE Paris 6/7, France" ], [ "Jevicki", "Antal", "", "Physics Dept.\n Brown University, USA" ] ]

We describe the general framework for constructing collective--theory Hamiltonians whose hermicity requirements imply a Kac--Moody algebra of constraints on the associated Jacobian. We give explicit examples for the algebras $sl(2)_k$ and $sl(3)_k$. The reduction to $W_n$--constraints, relevant to $n$-matrix models, is described for the Jacobians.

17.050283

13.929261

18.721573

14.054089

15.949003

13.712288

13.634156

13.475294

12.840378

20.059479

13.50066

13.798304

16.539789

13.813605

14.221907

14.550393

14.145863

13.55069

13.753542

16.483727

13.174572

1509.02916

Seiji Terashima

A Nonperturbative Proof of Dijkgraaf-Vafa Conjecture

12 pages, references added

null

10.1007/JHEP03(2016)136

YITP-15-77

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this note we exactly compute the gaugino condensation of an arbitrary four dimensional N=1 supersymmetric gauge theory in confining phase, using the localization technique. This result gives a nonperturbative proof of the Dijkgraaf-Vafa conjecture.

[ { "created": "Wed, 9 Sep 2015 20:12:59 GMT", "version": "v1" }, { "created": "Mon, 7 Dec 2015 10:15:36 GMT", "version": "v2" } ]

2016-04-20

[ [ "Terashima", "Seiji", "" ] ]

In this note we exactly compute the gaugino condensation of an arbitrary four dimensional N=1 supersymmetric gauge theory in confining phase, using the localization technique. This result gives a nonperturbative proof of the Dijkgraaf-Vafa conjecture.

9.001713

7.158816

9.150558

6.676354

6.263675

6.665897

6.193988

7.114284

7.24796

9.186194

7.107088

7.49444

7.951927

7.242386

7.623828

7.459409

7.327398

7.074667

7.181388

7.903213

7.152648

hep-th/9109017

Nir Sochen

M. Bauer and N. Sochen

Singular vectors by Fusions in affine su(2)

7 pages

Phys.Lett. B275 (1992) 82-86

10.1016/0370-2693(92)90854-W

null

hep-th

null

Explicit expressions for the singular vectors in the highest weight representations of $A_1^{(1)}$ are obtained using the fusion formalism of conformal field theory.

[ { "created": "Wed, 11 Sep 1991 14:19:25 GMT", "version": "v1" } ]

2009-10-22

[ [ "Bauer", "M.", "" ], [ "Sochen", "N.", "" ] ]

Explicit expressions for the singular vectors in the highest weight representations of $A_1^{(1)}$ are obtained using the fusion formalism of conformal field theory.

10.227188

5.343935

9.146545

5.976409

5.095863

5.777721

5.985537

5.489387

5.800877

7.667109

5.236668

6.842636

7.838296

6.727496

6.753711

6.516591

6.418052

6.466248

6.979645

7.937165

6.52164

1112.1180

Dirk Kreimer

Francis Brown and Dirk Kreimer

Angles, scales and parametric renormalization

58 pages, many figures

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We decompose renormalized Feynman rules according to the scale and angle dependence of amplitudes. We use parametric representations such that the resulting amplitudes can be studied in algebraic geometry.

[ { "created": "Tue, 6 Dec 2011 07:46:39 GMT", "version": "v1" } ]

2015-03-19

[ [ "Brown", "Francis", "" ], [ "Kreimer", "Dirk", "" ] ]

We decompose renormalized Feynman rules according to the scale and angle dependence of amplitudes. We use parametric representations such that the resulting amplitudes can be studied in algebraic geometry.

20.923841

17.320066

18.94582

16.233154

19.459129

18.649122

18.709547

19.143513

15.596332

23.549917

16.626234

17.73634

19.416758

18.53009

16.946251

16.552847

16.729414

18.156313

17.914627

20.542904

17.520208

hep-th/0407067

Tadafumi Ohsaku

Dynamical Chiral Symmetry Breaking and its Restoration for an Accelerated Observer

7 pages. Phys. Lett. B (2004), in press

Phys.Lett. B599 (2004) 102-110

10.1016/j.physletb.2004.08.019

null

hep-th astro-ph gr-qc hep-ph

null

Based on the Hawking-Unruh thermalization theorem, we investigate the phenomenon of the dynamical chiral symmetry breaking and its restoration for a uniformly accelerated observer. We employ the Nambu$-$Jona-Lasinio model in Rindler coordinates, and calculate the effective potential and the gap equation. The critical coupling and the critical acceleration for symmetry restoration are obtained.

[ { "created": "Fri, 9 Jul 2004 05:15:34 GMT", "version": "v1" } ]

2009-11-10

[ [ "Ohsaku", "Tadafumi", "" ] ]

Based on the Hawking-Unruh thermalization theorem, we investigate the phenomenon of the dynamical chiral symmetry breaking and its restoration for a uniformly accelerated observer. We employ the Nambu$-$Jona-Lasinio model in Rindler coordinates, and calculate the effective potential and the gap equation. The critical coupling and the critical acceleration for symmetry restoration are obtained.

7.872517

6.43877

5.858358

5.717744

6.971277

7.091535

6.667498

6.00905

6.309078

6.153984

6.18888

6.737019

6.173535

6.661226

6.791714

6.686522

6.473295

6.707179

6.578158

5.985248

7.084617

hep-th/9601028

Y. M. Cho

Y. M. Cho and D. Maison

Monopoles in Weinberg-Salam Model

13 pp, RevTex

Phys.Lett. B391 (1997) 360-365

10.1016/S0370-2693(96)01492-X

SUNTP-95-99

hep-th

null

We present a new type of spherically symmetric monopole and dyon solutions with the magnetic charge $ 4\pi/e$ in the standard Weinberg-Salam model. The monopole (and dyon) could be interpreted as a non-trivial hybrid between the abelian Dirac monopole and non-abelian 't Hooft-Polyakov monopole (with an electric charge). We discuss the possible physical implications of the electroweak dyon.

[ { "created": "Tue, 9 Jan 1996 05:31:59 GMT", "version": "v1" } ]

2009-10-30

[ [ "Cho", "Y. M.", "" ], [ "Maison", "D.", "" ] ]

We present a new type of spherically symmetric monopole and dyon solutions with the magnetic charge $ 4\pi/e$ in the standard Weinberg-Salam model. The monopole (and dyon) could be interpreted as a non-trivial hybrid between the abelian Dirac monopole and non-abelian 't Hooft-Polyakov monopole (with an electric charge). We discuss the possible physical implications of the electroweak dyon.

6.573236

5.80509

5.893127

5.463856

6.488139

5.979161

5.733166

5.901095

5.463468

6.192623

6.299334

6.107067

6.51617

6.144293

6.323689

6.059302

6.242328

5.943231

6.00721

6.51257

6.050867

0812.0078

Cristine Nunes Ferreira crisnfer

C. N. Ferreira, J. A. Helayel-Neto, N. A. Tomimura

Plane Gravitational Radiation from Neutrinos Source with Kalb-Ramond Coupling

Presented at 7th Alexander Friedmann International Seminar on Gravitation and Cosmology, Joao Pessoa, Brazil, 29-05 Jul 2008

Int.J.Mod.Phys.A24:1537-1540,2009

10.1142/S0217751X09044954

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this work, we propose a model based on a non-minimal coupling of neutrinos to a Kalb-Ramond field. The latter is taken as a possible source for gravitational radiation. As an immediate illustration of this system, we have studied the case where gravitational (plane) wave solutions behave as damped harmonic oscillators.

[ { "created": "Sat, 29 Nov 2008 14:50:54 GMT", "version": "v1" } ]

2009-04-24

[ [ "Ferreira", "C. N.", "" ], [ "Helayel-Neto", "J. A.", "" ], [ "Tomimura", "N. A.", "" ] ]

In this work, we propose a model based on a non-minimal coupling of neutrinos to a Kalb-Ramond field. The latter is taken as a possible source for gravitational radiation. As an immediate illustration of this system, we have studied the case where gravitational (plane) wave solutions behave as damped harmonic oscillators.

13.877107

11.674505

10.160008

10.22703

11.987049

11.941325

11.687801

11.588091

11.144622

11.244455

12.348105

11.60841

11.235601

10.61592

11.432796

11.369941

11.29878

11.429814

11.341629

11.021401

11.847334

hep-th/0102083

Mihai Visinescu

Ion I. Cot\u{a}escu and Mihai Visinescu

Dynamical algebra and Dirac quantum modes in Taub-NUT background

17 pages, latex, no figures. Version to appear in Class.Quantum Grav

Class.Quant.Grav. 18 (2001) 3383-3394

10.1088/0264-9381/18/17/304

null

hep-th gr-qc

null

The SO(4,1) gauge-invariant theory of the Dirac fermions in the external field of the Kaluza-Klein monopole is investigated. It is shown that the discrete quantum modes are governed by reducible representations of the o(4) dynamical algebra generated by the components of the angular momentum operator and those of the Runge-Lenz operator of the Dirac theory in Taub-NUT background. The consequence is that there exist central and axial discrete modes whose spinors have no separated variables.

[ { "created": "Thu, 15 Feb 2001 07:24:39 GMT", "version": "v1" }, { "created": "Thu, 28 Jun 2001 09:35:49 GMT", "version": "v2" } ]

2009-11-07

[ [ "Cotăescu", "Ion I.", "" ], [ "Visinescu", "Mihai", "" ] ]

The SO(4,1) gauge-invariant theory of the Dirac fermions in the external field of the Kaluza-Klein monopole is investigated. It is shown that the discrete quantum modes are governed by reducible representations of the o(4) dynamical algebra generated by the components of the angular momentum operator and those of the Runge-Lenz operator of the Dirac theory in Taub-NUT background. The consequence is that there exist central and axial discrete modes whose spinors have no separated variables.

11.803308

11.27023

12.397625

11.00313

11.293115

10.4907

11.858341

9.942405

11.824176

13.789976

10.99639

10.270824

11.735605

11.375179

10.981867

11.277086

11.229353

10.43824

11.087581

11.597378

10.908743

1503.08633

Anton Galajinsky

Anton Galajinsky and Ivan Masterov

On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras

V2:12 pages,clarifying remarks included into the Introduction and Conclusion, the version to appear in NPB

null

10.1016/j.nuclphysb.2015.04.024

null

hep-th math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In two recent papers [N. Aizawa, Y. Kimura, J. Segar, J. Phys. A 46 (2013) 405204] and [N. Aizawa, Z. Kuznetsova, F. Toppan, J. Math. Phys. 56 (2015) 031701], representation theory of the centrally extended l-conformal Galilei algebra with half-integer l has been applied so as to construct second order differential equations exhibiting the corresponding group as kinematical symmetry. It was suggested to treat them as the Schrodinger equations which involve Hamiltonians describing dynamical systems without higher derivatives. The Hamiltonians possess two unusual features, however. First, they involve the standard kinetic term only for one degree of freedom, while the remaining variables provide contributions linear in momenta. This is typical for Ostrogradsky's canonical approach to the description of higher derivative systems. Second, the Hamiltonian in the second paper is not Hermitian in the conventional sense. In this work, we study the classical limit of the quantum Hamiltonians and demonstrate that the first of them is equivalent to the Hamiltonian describing free higher derivative nonrelativistic particles, while the second can be linked to the Pais-Uhlenbeck oscillator whose frequencies form the arithmetic sequence omega_k=(2k-1), k=1,...,n. We also confront the higher derivative models with a genuine second order system constructed in our recent work [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212] which is discussed in detail for l=3/2.

[ { "created": "Mon, 30 Mar 2015 10:53:08 GMT", "version": "v1" }, { "created": "Wed, 29 Apr 2015 10:49:55 GMT", "version": "v2" } ]

2015-05-20

[ [ "Galajinsky", "Anton", "" ], [ "Masterov", "Ivan", "" ] ]

In two recent papers [N. Aizawa, Y. Kimura, J. Segar, J. Phys. A 46 (2013) 405204] and [N. Aizawa, Z. Kuznetsova, F. Toppan, J. Math. Phys. 56 (2015) 031701], representation theory of the centrally extended l-conformal Galilei algebra with half-integer l has been applied so as to construct second order differential equations exhibiting the corresponding group as kinematical symmetry. It was suggested to treat them as the Schrodinger equations which involve Hamiltonians describing dynamical systems without higher derivatives. The Hamiltonians possess two unusual features, however. First, they involve the standard kinetic term only for one degree of freedom, while the remaining variables provide contributions linear in momenta. This is typical for Ostrogradsky's canonical approach to the description of higher derivative systems. Second, the Hamiltonian in the second paper is not Hermitian in the conventional sense. In this work, we study the classical limit of the quantum Hamiltonians and demonstrate that the first of them is equivalent to the Hamiltonian describing free higher derivative nonrelativistic particles, while the second can be linked to the Pais-Uhlenbeck oscillator whose frequencies form the arithmetic sequence omega_k=(2k-1), k=1,...,n. We also confront the higher derivative models with a genuine second order system constructed in our recent work [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212] which is discussed in detail for l=3/2.

7.635068

7.705162

8.83952

7.60444

7.872835

8.03981

7.523509

7.808955

7.689179

9.155449

7.471254

7.330321

7.722184

7.186049

7.295939

7.234848

7.288907

7.285701

7.176432

7.432941

7.138562

2005.12693

Pablo Pais

David Dudal, Pablo Pais and Luigi Rosa

The Casimir energy in terms of boundary quantum field theory: the QED case

18 pages, 1 figure. Comments added and relevant references included

Phys. Rev. D 102, 016026 (2020)

10.1103/PhysRevD.102.016026

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We revisit the path integral computation of the Casimir energy between two infinite parallel plates placed in a QED vacuum. We implement perfectly magnetic conductor boundary conditions (as a prelude to the dual superconductor picture of the QCD vacuum) via constraint fields and show how an effective gauge theory can be constructed for the constraint boundary fields, from which the Casimir energy can be simply computed, in perfect agreement with the usual more involved approaches. Gauge invariance is natural in this framework, as well as the generalization of the result to $d$ dimensions. We also pay attention to the case where the outside of the plates is not the vacuum, but a perfect magnetic (super)conductor, disallowing any dynamics outside the plates. We find perfect agreement between both setups.

[ { "created": "Tue, 26 May 2020 13:16:29 GMT", "version": "v1" }, { "created": "Mon, 3 Aug 2020 18:00:07 GMT", "version": "v2" } ]

2020-08-05

[ [ "Dudal", "David", "" ], [ "Pais", "Pablo", "" ], [ "Rosa", "Luigi", "" ] ]

We revisit the path integral computation of the Casimir energy between two infinite parallel plates placed in a QED vacuum. We implement perfectly magnetic conductor boundary conditions (as a prelude to the dual superconductor picture of the QCD vacuum) via constraint fields and show how an effective gauge theory can be constructed for the constraint boundary fields, from which the Casimir energy can be simply computed, in perfect agreement with the usual more involved approaches. Gauge invariance is natural in this framework, as well as the generalization of the result to $d$ dimensions. We also pay attention to the case where the outside of the plates is not the vacuum, but a perfect magnetic (super)conductor, disallowing any dynamics outside the plates. We find perfect agreement between both setups.

12.047763

11.549729

12.121498

11.300434

11.774341

11.93283

11.844744

11.251846

11.654419

13.077776

11.466903

11.51614

11.625379

11.110495

11.798563

11.742045

11.590978

11.956281

11.05075

11.968862

11.4203

2404.08302

Masato Inoue

Yosuke Imamura and Masato Inoue

Brane expansions for anti-symmetric line operator index

21 pages, 1 figure, v2: Appendix B added. Version accepted for publication in JHEP

null

TIT/HEP-700

hep-th

http://creativecommons.org/licenses/by/4.0/

Based on the D5-brane realization of Wilson line operators in anti-symmetric representations, we propose brane expansion formulas for $I_{N,k}$, the Schur index of ${\cal N}=4$ $U(N)$ SYM decorated by line operators in the anti-symmetric representation of rank $k$. For the large $N$ index $I_{\infty,k}$ we propose a double-sum expansion, and for finite $N$ index $I_{N,k}$ we propose a quadruple-sum expansion. Objects causing finite $k$ and finite $N$ corrections are disk D3-branes ending on the D5-brane.

[ { "created": "Fri, 12 Apr 2024 07:48:44 GMT", "version": "v1" }, { "created": "Fri, 28 Jun 2024 09:04:12 GMT", "version": "v2" } ]

2024-07-01

[ [ "Imamura", "Yosuke", "" ], [ "Inoue", "Masato", "" ] ]

Based on the D5-brane realization of Wilson line operators in anti-symmetric representations, we propose brane expansion formulas for $I_{N,k}$, the Schur index of ${\cal N}=4$ $U(N)$ SYM decorated by line operators in the anti-symmetric representation of rank $k$. For the large $N$ index $I_{\infty,k}$ we propose a double-sum expansion, and for finite $N$ index $I_{N,k}$ we propose a quadruple-sum expansion. Objects causing finite $k$ and finite $N$ corrections are disk D3-branes ending on the D5-brane.

8.521238

6.822823

9.421305

6.949519

7.185313

7.6401

6.952462

7.221161

7.151695

10.055083

6.809223

7.50515

8.388985

7.292753

7.531453

7.714801

7.659773

7.428671

7.46909

8.298371

7.610324

hep-th/0301133

Yuji Okawa

Kirk Kaminsky, Yuji Okawa and Hirosi Ooguri (Caltech)

Quantum aspects of Seiberg-Witten map in noncommutative Chern-Simons theory

28 pages, 8 figures, 15 eps files, LaTeX2e; v2: a comment and references added in the discussion

Nucl.Phys.B663:33-59,2003

10.1016/S0550-3213(03)00383-3

CALT-68-2420

hep-th

null

Noncommutative Chern-Simons theory can be classically mapped to commutative Chern-Simons theory by the Seiberg-Witten map. We provide evidence that the equivalence persists at the quantum level by computing two and three-point functions of field strengths on the commutative side and their Seiberg-Witten transforms on the noncommutative side to the first nontrivial order in perturbation theory.

[ { "created": "Sat, 18 Jan 2003 05:36:49 GMT", "version": "v1" }, { "created": "Mon, 3 Feb 2003 03:08:50 GMT", "version": "v2" } ]

2009-09-17

[ [ "Kaminsky", "Kirk", "", "Caltech" ], [ "Okawa", "Yuji", "", "Caltech" ], [ "Ooguri", "Hirosi", "", "Caltech" ] ]

Noncommutative Chern-Simons theory can be classically mapped to commutative Chern-Simons theory by the Seiberg-Witten map. We provide evidence that the equivalence persists at the quantum level by computing two and three-point functions of field strengths on the commutative side and their Seiberg-Witten transforms on the noncommutative side to the first nontrivial order in perturbation theory.

4.668503

3.623107

4.717101

3.695662

3.683288

3.808159

3.889686

3.852807

3.767401

4.79015

3.814072

3.979563

4.353662

4.047048

4.126401

4.021276

3.929554

3.87307

3.863281

4.41411

3.848531

1612.09570

Yegor Zenkevich

Refined toric branes, surface operators and factorization of generalized Macdonald polynomials

14 pages, 6 figures, typos corrected, missing figure and references added

null

10.1007/JHEP09(2017)070

ITEP/TH-37/16

hep-th math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We find new universal factorization identities for generalized Macdonald polynomials on the topological locus. We prove the identities (which include all previously known forumlas of this kind) using factorization identities for matrix model averages, which are themselves consequences of Ding-Iohara-Miki constraints. Factorized expressions for generalized Macdonald polynomials are identified with refined topological string amplitudes containing a toric brane on an intermediate preferred leg, surface operators in gauge theory and certain degenerate CFT vertex operators.

[ { "created": "Fri, 30 Dec 2016 19:44:45 GMT", "version": "v1" }, { "created": "Thu, 16 Feb 2017 17:19:40 GMT", "version": "v2" } ]

2017-10-25

[ [ "Zenkevich", "Yegor", "" ] ]

We find new universal factorization identities for generalized Macdonald polynomials on the topological locus. We prove the identities (which include all previously known forumlas of this kind) using factorization identities for matrix model averages, which are themselves consequences of Ding-Iohara-Miki constraints. Factorized expressions for generalized Macdonald polynomials are identified with refined topological string amplitudes containing a toric brane on an intermediate preferred leg, surface operators in gauge theory and certain degenerate CFT vertex operators.

20.207088

17.897341

24.451534

17.139894

19.645903

20.606758

17.28117

18.954662

18.186354

31.589531

16.59436

17.250074

20.391846

16.844772

16.333105

16.922043

17.630617

17.053947

16.776924

19.379761

16.202839

1509.06634

Dionisio Bazeia

D. Bazeia, M.A. Marques, R. Menezes

Compact Lumps

6 pages, 9 figures; to appear in EPL

EPL 111 (2015) 61002

10.1209/0295-5075/111/61002

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the presence of lumplike solutions in models described by a single real scalar field with standard kinematics in two-dimensional spacetime. The results show several distinct models that support the presence of bell-shaped, lumplike structures which may live in a compact space.

[ { "created": "Tue, 22 Sep 2015 15:11:11 GMT", "version": "v1" } ]

2015-10-07

[ [ "Bazeia", "D.", "" ], [ "Marques", "M. A.", "" ], [ "Menezes", "R.", "" ] ]

We study the presence of lumplike solutions in models described by a single real scalar field with standard kinematics in two-dimensional spacetime. The results show several distinct models that support the presence of bell-shaped, lumplike structures which may live in a compact space.

22.816193

10.399044

22.352419

16.317486

13.522908

13.55683

13.328712

13.673298

12.63365

25.048853

13.917407

18.247597

21.303802

19.331055

19.041113

18.359531

18.614138

19.132759

19.260456

21.178173

18.136366

1712.04766

Sayantan Choudhury

CMB from EFT

81 pages, Revised version, Accepted for publication in Universe. This is an invited article which is explicitly written for a special issue "Cosmological Constant Puzzle" of Universe. This project is the part of the non-profit virtual international research consortium "Quantum Structures of the Space-Time & Matter''

Universe 5 (2019) no. 6, 155

10.3390/universe5060155

IUCAA 13/2017

hep-th astro-ph.CO gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this work, we study the key role of generic Effective Field Theory (EFT) framework to quantify the correlation functions in a quasi de Sitter background for an arbitrary initial choice of the quantum vacuum state. We perform the computation in unitary gauge, in which we apply the St$\ddot{\text{u}}$ckelberg trick in lowest dimensional EFT operators which are broken under time diffeomorphism. In particular, using this non-linear realization of broken time diffeomorphism and truncating the action by considering the contribution from two derivative terms in the metric, we compute the two-point and three-point correlations from scalar perturbations and two-point correlation from tensor perturbations to quantify the quantum fluctuations observed in the Cosmic Microwave Background (CMB) map. We also use equilateral limit and squeezed limit configurations for the scalar three-point correlations in Fourier space. To give future predictions from EFT setup and to check the consistency of our derived results for correlations, we use the results obtained from all classes of the canonical single-field and general single-field $P(X,\phi)$ model. This analysis helps us to fix the coefficients of the relevant operators in EFT in terms of the slow-roll parameters and effective sound speed. Finally, using CMB observations from Planck we constrain all these coefficients of EFT operators for the single-field slow-roll inflationary paradigm.

[ { "created": "Wed, 13 Dec 2017 13:53:28 GMT", "version": "v1" }, { "created": "Fri, 14 Sep 2018 14:52:51 GMT", "version": "v2" }, { "created": "Mon, 17 Jun 2019 18:19:43 GMT", "version": "v3" } ]

2019-07-11

[ [ "Choudhury", "Sayantan", "" ] ]

In this work, we study the key role of generic Effective Field Theory (EFT) framework to quantify the correlation functions in a quasi de Sitter background for an arbitrary initial choice of the quantum vacuum state. We perform the computation in unitary gauge, in which we apply the St$\ddot{\text{u}}$ckelberg trick in lowest dimensional EFT operators which are broken under time diffeomorphism. In particular, using this non-linear realization of broken time diffeomorphism and truncating the action by considering the contribution from two derivative terms in the metric, we compute the two-point and three-point correlations from scalar perturbations and two-point correlation from tensor perturbations to quantify the quantum fluctuations observed in the Cosmic Microwave Background (CMB) map. We also use equilateral limit and squeezed limit configurations for the scalar three-point correlations in Fourier space. To give future predictions from EFT setup and to check the consistency of our derived results for correlations, we use the results obtained from all classes of the canonical single-field and general single-field $P(X,\phi)$ model. This analysis helps us to fix the coefficients of the relevant operators in EFT in terms of the slow-roll parameters and effective sound speed. Finally, using CMB observations from Planck we constrain all these coefficients of EFT operators for the single-field slow-roll inflationary paradigm.

10.343626

10.057437

10.52375

10.045165

9.708853

10.115253

10.256696

9.743118

9.651238

11.085538

9.908294

9.673497

9.866269

9.812428

9.555227

9.586204

9.757048

9.792504

9.606633

10.159826

9.660721

hep-th/0307012

John Morris

E.I. Guendelman and J.R. Morris

Gauged Dimension Bubbles

14 pages, no figures; to appear in Phys.Rev.D

Phys.Rev. D68 (2003) 045008

10.1103/PhysRevD.68.045008

null

hep-th hep-ph

null

Some of the peculiar electrodynamical effects associated with gauged ``dimension bubbles'' are presented. Such bubbles, which effectively enclose a region of 5d spacetime, can arise from a 5d theory with a compact extra dimension. Bubbles with thin domain walls can be stabilized against total collapse by the entrapment of light charged scalar bosons inside the bubble, extending the idea of a neutral dimension bubble to accommodate the case of a gauged U(1) symmetry. Using a dielectric approach to the 4d dilaton-Maxwell theory, it is seen that the bubble wall is almost totally opaque to photons, leading to a new stabilization mechanism due to trapped photons. Photon dominated bubbles very slowly shrink, resulting in a temperature increase inside the bubble. At some critical temperature, however, these bubbles explode, with a release of radiation.

[ { "created": "Tue, 1 Jul 2003 16:38:51 GMT", "version": "v1" } ]

2009-11-10

[ [ "Guendelman", "E. I.", "" ], [ "Morris", "J. R.", "" ] ]

Some of the peculiar electrodynamical effects associated with gauged ``dimension bubbles'' are presented. Such bubbles, which effectively enclose a region of 5d spacetime, can arise from a 5d theory with a compact extra dimension. Bubbles with thin domain walls can be stabilized against total collapse by the entrapment of light charged scalar bosons inside the bubble, extending the idea of a neutral dimension bubble to accommodate the case of a gauged U(1) symmetry. Using a dielectric approach to the 4d dilaton-Maxwell theory, it is seen that the bubble wall is almost totally opaque to photons, leading to a new stabilization mechanism due to trapped photons. Photon dominated bubbles very slowly shrink, resulting in a temperature increase inside the bubble. At some critical temperature, however, these bubbles explode, with a release of radiation.

15.605122

14.298908

14.982116

15.166916

15.952548

15.674652

15.5784

14.22132

14.418885

17.618275

15.176067

15.058247

16.029867

15.161768

15.806433

15.398584

15.459092

14.858288

14.906069

16.219402

15.433317

hep-th/9304021

Miao Li

Matter-ghost mixing and the exact 2d black hole metric

8 pages, harvmac, BROWN-HET-903

Phys.Lett. B312 (1993) 83-87

10.1016/0370-2693(93)90492-Z

null

hep-th

null

We study a revised version of Witten's 2d black hole, in which the matter and (b,c) ghosts are mixed. The level of the coset model is still 9/4. We show that this model is equivalent to that of Mukhi and Vafa, in which the level of the coset model is taken as 3, and the stress tensor is improved. We argue that the exact metric in such a model is just the semi-classical one, quite different from the exact metric in Witten's black hole, being studied by Dijkgraaf, Verlinde and Verlinde. In addition, there appear ghost-related terms as a part of the background in the world sheet action.

[ { "created": "Wed, 7 Apr 1993 02:33:57 GMT", "version": "v1" } ]

2009-10-22

[ [ "Li", "Miao", "" ] ]

We study a revised version of Witten's 2d black hole, in which the matter and (b,c) ghosts are mixed. The level of the coset model is still 9/4. We show that this model is equivalent to that of Mukhi and Vafa, in which the level of the coset model is taken as 3, and the stress tensor is improved. We argue that the exact metric in such a model is just the semi-classical one, quite different from the exact metric in Witten's black hole, being studied by Dijkgraaf, Verlinde and Verlinde. In addition, there appear ghost-related terms as a part of the background in the world sheet action.

11.071454

10.392809

11.774065

10.236343

10.241048

10.274579

9.787743

9.853773

9.974039

11.415938

10.324371

10.109681

9.813474

9.978802

10.12621

10.074408

10.217285

10.112987

10.241147

10.649018

10.242317

hep-th/0106115

Seiji Sakoda

M. Omote, S. Sakoda and S. Kamefuchi

Classical and Quantum Behavior of Genaralized Oscillators - action variable, angle variable and quantum phase -

26 pages, RevTeX(preprint+\tightenlines)

null

hep-th

null

The relation that exists in quantum mechanics among action variables, angle variables and the phases of quantum states is clarified, by referring to the system of a generalized oscillator. As a by-product, quantum-mechanical meaning of the classical Hamilton-Jacobi equation and related matters is clarified, where a new picture of quantum mechanics is introduced, to be called the Hamilton-Jacobi picture.

[ { "created": "Thu, 14 Jun 2001 07:14:20 GMT", "version": "v1" } ]

2007-05-23

[ [ "Omote", "M.", "" ], [ "Sakoda", "S.", "" ], [ "Kamefuchi", "S.", "" ] ]

The relation that exists in quantum mechanics among action variables, angle variables and the phases of quantum states is clarified, by referring to the system of a generalized oscillator. As a by-product, quantum-mechanical meaning of the classical Hamilton-Jacobi equation and related matters is clarified, where a new picture of quantum mechanics is introduced, to be called the Hamilton-Jacobi picture.

13.962724

12.15739

13.664271

12.793388

12.772868

12.898352

12.588314

12.618361

13.038675

15.22549

12.49458

13.225599

13.059594

12.604769

13.188786

12.654305

12.364516

12.533869

13.147646

13.35928

12.523991

hep-th/0204031

Yosuke Imamura

Gauge transformations on a D-brane in Vacuum String Field Theory

LaTeX, 15 pages

JHEP 0207 (2002) 042

10.1088/1126-6708/2002/07/042

UT-02-17

hep-th

null

We study gauge transformations of the Hata-Kawano vector state on a D25-brane in the framework of vacuum string field theory. We show that among the infinite number of components of the polarization vector, all the components except one spacetime vector degree of freedom are gauge freedom, and give string field gauge transformations reproducing gauge transformations of the constant modes of the U(1) gauge field. These gauge transformations can be used to fix the normalization of the vector field. We also discuss a difficulty in obtaining a gauge invariant action of the vector field. Our arguments rely on the factorization ansatz of gauge transformations.

[ { "created": "Wed, 3 Apr 2002 05:10:31 GMT", "version": "v1" } ]

2009-11-07

[ [ "Imamura", "Yosuke", "" ] ]

We study gauge transformations of the Hata-Kawano vector state on a D25-brane in the framework of vacuum string field theory. We show that among the infinite number of components of the polarization vector, all the components except one spacetime vector degree of freedom are gauge freedom, and give string field gauge transformations reproducing gauge transformations of the constant modes of the U(1) gauge field. These gauge transformations can be used to fix the normalization of the vector field. We also discuss a difficulty in obtaining a gauge invariant action of the vector field. Our arguments rely on the factorization ansatz of gauge transformations.

14.038664

13.60742

13.654286

12.712332

12.571369

13.435506

12.216909

12.96112

12.473741

14.931809

11.698847

12.636749

13.599588

12.334264

12.65474

13.224795

12.972301

12.848541

12.097235

13.233371

11.995502

hep-th/0202153

Igor R. Klebanov

N. Itzhaki, Igor R. Klebanov and Sunil Mukhi

PP Wave Limit and Enhanced Supersymmetry in Gauge Theories

15 pages, LaTeX; v2: added more detail to a derivation, and a preprint number; v3: minor corrections, some remarks and references added

JHEP 0203 (2002) 048

10.1088/1126-6708/2002/03/048

PUPT-2024, TIFR/TH/02-06

hep-th

null

We observe that the pp wave limit of $AdS_5\times M^5$ compactifications of type IIB string theory is universal, and maximally supersymmetric, as long as $M^5$ is smooth and preserves some supersymmetry. We investigate a specific case, $M^5=T^{1,1}$. The dual ${\cal N}=1$ SCFT, describing D3-branes at a conifold singularity, has operators that we identify with the oscillators of the light-cone string in the universal pp-wave background. The correspondence is remarkable in that it relies on the exact spectrum of anomalous dimensions in this CFT, along with the existence of certain exceptional series of operators whose dimensions are protected only in the limit of large `t Hooft coupling. We also briefly examine the singular case $M^5=S^5/Z_2$, for which the pp wave background becomes a $Z_2$ orbifold of the maximally supersymmetric background by reflection of 4 transverse coordinates. We find operators in the corresponding ${\cal N}=2$ SCFT with the right properties to describe both the untwisted and the twisted sectors of the closed string.

[ { "created": "Fri, 22 Feb 2002 20:52:54 GMT", "version": "v1" }, { "created": "Sun, 24 Feb 2002 16:00:37 GMT", "version": "v2" }, { "created": "Wed, 27 Feb 2002 16:39:56 GMT", "version": "v3" } ]

2009-11-07

[ [ "Itzhaki", "N.", "" ], [ "Klebanov", "Igor R.", "" ], [ "Mukhi", "Sunil", "" ] ]

We observe that the pp wave limit of $AdS_5\times M^5$ compactifications of type IIB string theory is universal, and maximally supersymmetric, as long as $M^5$ is smooth and preserves some supersymmetry. We investigate a specific case, $M^5=T^{1,1}$. The dual ${\cal N}=1$ SCFT, describing D3-branes at a conifold singularity, has operators that we identify with the oscillators of the light-cone string in the universal pp-wave background. The correspondence is remarkable in that it relies on the exact spectrum of anomalous dimensions in this CFT, along with the existence of certain exceptional series of operators whose dimensions are protected only in the limit of large `t Hooft coupling. We also briefly examine the singular case $M^5=S^5/Z_2$, for which the pp wave background becomes a $Z_2$ orbifold of the maximally supersymmetric background by reflection of 4 transverse coordinates. We find operators in the corresponding ${\cal N}=2$ SCFT with the right properties to describe both the untwisted and the twisted sectors of the closed string.

6.367311

6.099561

7.635905

6.267368

6.076223

6.066193

6.289926

6.123296

6.055018

7.623888

6.104392

6.223983

6.703038

6.030542

6.192813

6.190619

5.928881

5.978052

6.084395

6.458332

6.020737

2108.00021

Daniel Klaewer

Modular Curves and the Refined Distance Conjecture

44 pages, 10 figures, comments welcome; v2: references added, improved discussion of log-scaling

null

10.1007/JHEP12(2021)088

MITP/21-034

hep-th

http://creativecommons.org/licenses/by/4.0/

We test the refined distance conjecture in the vector multiplet moduli space of 4D $\mathcal{N}=2$ compactifications of the type IIA string that admit a dual heterotic description. In the weakly coupled regime of the heterotic string, the moduli space geometry is governed by the perturbative heterotic dualities, which allows for exact computations. This is reflected in the type IIA frame through the existence of a K3 fibration. We identify the degree $d=2N$ of the K3 fiber as a parameter that could potentially lead to large distances, which is substantiated by studying several explicit models. The moduli space geometry degenerates into the modular curve for the congruence subgroup $\Gamma_0(N)^+$. In order to probe the large $N$ regime, we initiate the study of Calabi-Yau threefolds fibered by general degree $d>8$ K3 surfaces by suggesting a construction as complete intersections in Grassmann bundles.

[ { "created": "Fri, 30 Jul 2021 18:00:14 GMT", "version": "v1" }, { "created": "Mon, 11 Oct 2021 17:46:12 GMT", "version": "v2" } ]

2022-01-05

[ [ "Klaewer", "Daniel", "" ] ]

We test the refined distance conjecture in the vector multiplet moduli space of 4D $\mathcal{N}=2$ compactifications of the type IIA string that admit a dual heterotic description. In the weakly coupled regime of the heterotic string, the moduli space geometry is governed by the perturbative heterotic dualities, which allows for exact computations. This is reflected in the type IIA frame through the existence of a K3 fibration. We identify the degree $d=2N$ of the K3 fiber as a parameter that could potentially lead to large distances, which is substantiated by studying several explicit models. The moduli space geometry degenerates into the modular curve for the congruence subgroup $\Gamma_0(N)^+$. In order to probe the large $N$ regime, we initiate the study of Calabi-Yau threefolds fibered by general degree $d>8$ K3 surfaces by suggesting a construction as complete intersections in Grassmann bundles.

8.497374

8.807672

10.013433

8.285316

9.581326

9.397032

8.419514

8.345882

8.299442

10.396479

8.571604

8.26471

8.58007

8.067439

8.149059

8.327463

8.37781

8.207747

8.349598

8.70781

7.99688

hep-th/9805149

Zaugg

A. M. Perelomov, E. Ragoucy, P. Zaugg

Explicit solution of the quantum three-body Calogero-Sutherland model

10 pages

J.Phys. A31 (1998) L559-L565

10.1088/0305-4470/31/32/002

CERN-TH/98-141, LAPTH-681/98

hep-th nlin.SI solv-int

null

Quantum integrable systems generalizing Calogero-Sutherland systems were introduced by Olshanetsky and Perelomov (1977). Recently, it was proved that for systems with trigonometric potential, the series in the product of two wave functions is a deformation of the Clebsch-Gordan series. This yields recursion relations for the wave functions of those systems. In this note, this approach is used to compute the explicit expressions for the three-body Calogero-Sutherland wave functions, which are the Jack polynomials. We conjecture that similar results are also valid for the more general two-parameters deformation introduced by Macdonald.

[ { "created": "Fri, 22 May 1998 15:42:00 GMT", "version": "v1" } ]

2009-10-31

[ [ "Perelomov", "A. M.", "" ], [ "Ragoucy", "E.", "" ], [ "Zaugg", "P.", "" ] ]

Quantum integrable systems generalizing Calogero-Sutherland systems were introduced by Olshanetsky and Perelomov (1977). Recently, it was proved that for systems with trigonometric potential, the series in the product of two wave functions is a deformation of the Clebsch-Gordan series. This yields recursion relations for the wave functions of those systems. In this note, this approach is used to compute the explicit expressions for the three-body Calogero-Sutherland wave functions, which are the Jack polynomials. We conjecture that similar results are also valid for the more general two-parameters deformation introduced by Macdonald.

7.669554

7.945148

8.871479

7.570016

7.77353

7.806126

8.077211

7.852933

8.181005

9.023976

7.435678

7.59452

8.013049

7.701454

7.484219

8.064816

7.541911

7.711506

7.572213

8.224363

7.27

1307.4435

Federico Carrasco

Federico Carrasco and Oscar Reula

Multi-solitons with vector mesons on the two-sphere

10 pages, 33 figures

Phys. Rev. D 90, 045007 (2014)

10.1103/PhysRevD.90.045007

null

hep-th gr-qc math-ph math.MP nucl-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme model and those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We have found almost identical solutions considering an alternative two-dimensional model in which a vector meson field is introduced and coupled to the system, instead of the usual Skyrme term. It has been known that including this vector meson field in three dimensions stabilizes the non-linear sigma model without the need of a term quartic on derivatives of the pion fields (Skyrme term). In the present work, we have numerically searched for static multi-solitonic solutions of this alternative stabilization, for the case in which the base-space is a two-sphere. Moreover, we analyze the stability of these solutions under small perturbations in a fully dynamical setting. We have also considered the inclusion of a particular potential term into the Lagrangian, and explored the low/high-density phases of solitons for different ranges of the parameter space, achieving solitons localized enough that allow us to compare with planar (two-dimensional) studies.

[ { "created": "Tue, 16 Jul 2013 22:02:14 GMT", "version": "v1" } ]

2017-11-30

[ [ "Carrasco", "Federico", "" ], [ "Reula", "Oscar", "" ] ]

Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme model and those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We have found almost identical solutions considering an alternative two-dimensional model in which a vector meson field is introduced and coupled to the system, instead of the usual Skyrme term. It has been known that including this vector meson field in three dimensions stabilizes the non-linear sigma model without the need of a term quartic on derivatives of the pion fields (Skyrme term). In the present work, we have numerically searched for static multi-solitonic solutions of this alternative stabilization, for the case in which the base-space is a two-sphere. Moreover, we analyze the stability of these solutions under small perturbations in a fully dynamical setting. We have also considered the inclusion of a particular potential term into the Lagrangian, and explored the low/high-density phases of solitons for different ranges of the parameter space, achieving solitons localized enough that allow us to compare with planar (two-dimensional) studies.

10.681302

11.054075

11.301764

10.642044

10.648966

10.954044

10.85218

10.857931

10.032033

12.519438

10.885674

10.541843

10.716605

10.354776

10.371243

10.419983

10.531649

10.418535

10.112757

10.883834

10.144176

hep-th/9712162

George Papadopoulos

G. Papadopoulos

T-duality and the Worldvolume Solitons of Five-Branes and KK-Monopoles

20 pages, phyzzx, minor changes

Phys.Lett.B434:277-284,1998

10.1016/S0370-2693(98)00746-1

DAMTP-R/97/64

hep-th

null

We show that the fluxes of the various six-dimensional "gauge" theories are associated to below threshold bound states of D-branes with the NS-5-branes and KK-monopoles which preserve half of bulk supersymmetry. We then present the supergravity solutions that correspond to these bound states. In addition using the worldvolume solitons of IIA and IIB NS-5-branes and KK-monopoles, we investigate the sectors of the "gauge" theories that preserve one quarter of bulk supersymmetry. This leads to a generalization a supergravity solution which has the interpretation of two intersecting NS-5-branes at a 3-brane and to the construction of some of the worldvolume solitons of IIA and M-theory KK-monopoles. Furthermore, using the IIA/IIB T-duality of the bulk theories, we give the T-duality transformations of the worldvolume solitons of NS-5-branes and KK-monopoles. We find that the worldvolume 0-brane, self-dual string and 2-brane solitons of NS-5-branes appear in the same T-duality chain.

[ { "created": "Tue, 16 Dec 1997 19:00:27 GMT", "version": "v1" }, { "created": "Thu, 11 Jun 1998 14:50:20 GMT", "version": "v2" } ]

2009-10-09

[ [ "Papadopoulos", "G.", "" ] ]

We show that the fluxes of the various six-dimensional "gauge" theories are associated to below threshold bound states of D-branes with the NS-5-branes and KK-monopoles which preserve half of bulk supersymmetry. We then present the supergravity solutions that correspond to these bound states. In addition using the worldvolume solitons of IIA and IIB NS-5-branes and KK-monopoles, we investigate the sectors of the "gauge" theories that preserve one quarter of bulk supersymmetry. This leads to a generalization a supergravity solution which has the interpretation of two intersecting NS-5-branes at a 3-brane and to the construction of some of the worldvolume solitons of IIA and M-theory KK-monopoles. Furthermore, using the IIA/IIB T-duality of the bulk theories, we give the T-duality transformations of the worldvolume solitons of NS-5-branes and KK-monopoles. We find that the worldvolume 0-brane, self-dual string and 2-brane solitons of NS-5-branes appear in the same T-duality chain.

6.408177

6.271584

7.427814

6.096896

6.176716

6.364545

6.373081

6.149005

6.131764

8.006318

5.929488

6.076828

6.798824

6.139611

6.086623

6.181493

6.024227

6.209311

6.208048

6.918691

6.094506

hep-th/0012244

Evaldo M. F. Curado

E. M. F. Curado, M.A. Rego-Monteiro and H. N. Nazareno

Heisenberg-type structures of one-dimensional quantum Hamiltonians

11 pages. The title and abstract were modified and minor corrections were made in the paper's core. Final version to appear in Phys. Rev. A

null

10.1103/PhysRevA.64.012105

CBPF-NF-073/00

hep-th

null

We construct a Heisenberg-like algebra for the one dimensional infinite square-well potential in quantum mechanics. The ladder operators are realized in terms of physical operators of the system as in the harmonic oscillator algebra. These physical operators are obtained with the help of variables used in a recently developed non commutative differential calculus. This \textquotedblleft square-well algebra\textquotedblright is an example of an algebra in a large class of generalized Heisenberg algebras recently constructed. This class of algebras also contains $q$-oscillators as a particular case. We also discuss the physical content of this large class of algebras.

[ { "created": "Wed, 27 Dec 2000 14:35:25 GMT", "version": "v1" }, { "created": "Mon, 14 May 2001 14:38:23 GMT", "version": "v2" } ]

2009-10-31

[ [ "Curado", "E. M. F.", "" ], [ "Rego-Monteiro", "M. A.", "" ], [ "Nazareno", "H. N.", "" ] ]

We construct a Heisenberg-like algebra for the one dimensional infinite square-well potential in quantum mechanics. The ladder operators are realized in terms of physical operators of the system as in the harmonic oscillator algebra. These physical operators are obtained with the help of variables used in a recently developed non commutative differential calculus. This \textquotedblleft square-well algebra\textquotedblright is an example of an algebra in a large class of generalized Heisenberg algebras recently constructed. This class of algebras also contains $q$-oscillators as a particular case. We also discuss the physical content of this large class of algebras.

7.202339

7.123846

7.094442

6.636073

7.376088

7.271174

7.149831

6.95706

7.082155

7.701387

6.772674

7.207816

7.110182

6.903696

6.854203

6.906487

6.893581

6.837337

6.846468

7.070796

6.747537

hep-th/9410217

Galtsov Dimitri Vladimirovich

D.V. Gal'tsov

Integrable Systems in Stringy Gravity

8 pages, LATEX, MSU-DTP-94/21, October 94

Phys.Rev.Lett.74:2863-2866,1995

10.1103/PhysRevLett.74.2863

null

hep-th

null

Static axisymmetric Einstein-Maxwell-Dilaton and stationary axisymmetric Einstein-Maxwell-Dilaton-Axion (EMDA) theories in four space-time dimensions are shown to be integrable by means of the inverse scattering transform method. The proof is based on the coset-space representation of the 4-dim theory in a space-time admitting a Killing vector field. Hidden symmetry group of the four-dimensional EMDA theory, unifying T and S string dualities, is shown to be Sp(2, R) acting transitively on the coset Sp(2, R)/U(2). In the case of two-parameter Abelian space-time isometry group, the hidden symmetry is the corresponding infinite-dimensional group of the Geroch-Kinnersley-Chitre type.

[ { "created": "Fri, 28 Oct 1994 13:29:40 GMT", "version": "v1" } ]

2010-11-01

[ [ "Gal'tsov", "D. V.", "" ] ]

Static axisymmetric Einstein-Maxwell-Dilaton and stationary axisymmetric Einstein-Maxwell-Dilaton-Axion (EMDA) theories in four space-time dimensions are shown to be integrable by means of the inverse scattering transform method. The proof is based on the coset-space representation of the 4-dim theory in a space-time admitting a Killing vector field. Hidden symmetry group of the four-dimensional EMDA theory, unifying T and S string dualities, is shown to be Sp(2, R) acting transitively on the coset Sp(2, R)/U(2). In the case of two-parameter Abelian space-time isometry group, the hidden symmetry is the corresponding infinite-dimensional group of the Geroch-Kinnersley-Chitre type.

8.343119

9.001507

8.363122

7.969054

8.475946

8.060333

8.128473

7.678413

8.367589

7.999664

7.900758

7.767373

7.912245

7.667038

7.886381

7.421412

7.85072

7.659034

7.539459

7.959613

7.518366

hep-th/9805103

Vivian de la Incera

Efrain J. Ferrer and Vivian de la Incera

Yukawa Interactions and Dynamical Generation of Mass in an External Magnetic Field

Corrected mistake in last reference. Work presented at SILAFAE'98, 8 pages. To be published in the proceedings of SILAFAE'98, April 8-11, San Juan, Puerto Rico

null

10.1063/1.56623

SUNY-FRE-98-05

hep-th hep-ph

null

In this work we study the dynamical generation of a fermion mass induced by a constant and uniform external magnetic field in an Abelian gauge model with a Yukawa term. We show that the Yukawa coupling not only enhances the dynamical generation of the mass, but it substantially decreases the magnetic field required for the mass to be generated at temperatures comparable to the electroweak critical temperature. These results indicate that if large enough primordial magnetic fields were present during the early universe evolution, the field-induced generation of fermion masses, which in turn corresponds to the generation of fermion bound states, may play an important role in the electroweak phase transition.

[ { "created": "Sun, 17 May 1998 22:37:59 GMT", "version": "v1" }, { "created": "Wed, 1 Jul 1998 20:05:45 GMT", "version": "v2" } ]

2009-10-31

[ [ "Ferrer", "Efrain J.", "" ], [ "de la Incera", "Vivian", "" ] ]

In this work we study the dynamical generation of a fermion mass induced by a constant and uniform external magnetic field in an Abelian gauge model with a Yukawa term. We show that the Yukawa coupling not only enhances the dynamical generation of the mass, but it substantially decreases the magnetic field required for the mass to be generated at temperatures comparable to the electroweak critical temperature. These results indicate that if large enough primordial magnetic fields were present during the early universe evolution, the field-induced generation of fermion masses, which in turn corresponds to the generation of fermion bound states, may play an important role in the electroweak phase transition.

6.187376

6.068373

5.73745

5.49373

6.235857

6.038583

5.875657

5.643585

5.561131

5.839854

5.470008

5.620519

5.754959

5.648629

5.808145

5.776178

5.725325

5.573915

5.620231

5.597361

5.573397

2109.02701

Takeshi Morita

Yu Aikawa, Takeshi Morita, Kota Yoshimura

Application of Bootstrap to $\theta$-term

16 pages, 5 figures.v3: matches published version in PRD, appendix on the details of the numerical bootstrap was added

null

10.1103/PhysRevD.105.085017

null

hep-th hep-lat quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Recently, novel numerical computation on quantum mechanics by using a bootstrap method was proposed by Han, Hartnoll, and Kruthoff. We consider whether this method works in systems with a $\theta$-term, where the standard Monte-Carlo computation may fail due to the sign problem. As a starting point, we study quantum mechanics of a charged particle on a circle in which a constant gauge potential is a counterpart of a $\theta$-term. We find that it is hard to determine physical quantities as functions of $\theta$ such as $E(\theta)$, except at $\theta=0$ and $\pi$. On the other hand, the correlations among observables for energy eigenstates are correctly reproduced for any $\theta$. Our results suggest that the bootstrap method may work not perfectly but sufficiently well, even if a $\theta$-term exists in the system.

[ { "created": "Mon, 6 Sep 2021 19:21:59 GMT", "version": "v1" }, { "created": "Wed, 22 Sep 2021 14:04:07 GMT", "version": "v2" }, { "created": "Sun, 22 May 2022 14:16:11 GMT", "version": "v3" } ]

2022-05-24

[ [ "Aikawa", "Yu", "" ], [ "Morita", "Takeshi", "" ], [ "Yoshimura", "Kota", "" ] ]

Recently, novel numerical computation on quantum mechanics by using a bootstrap method was proposed by Han, Hartnoll, and Kruthoff. We consider whether this method works in systems with a $\theta$-term, where the standard Monte-Carlo computation may fail due to the sign problem. As a starting point, we study quantum mechanics of a charged particle on a circle in which a constant gauge potential is a counterpart of a $\theta$-term. We find that it is hard to determine physical quantities as functions of $\theta$ such as $E(\theta)$, except at $\theta=0$ and $\pi$. On the other hand, the correlations among observables for energy eigenstates are correctly reproduced for any $\theta$. Our results suggest that the bootstrap method may work not perfectly but sufficiently well, even if a $\theta$-term exists in the system.

9.357674

8.397816

8.996901

8.389939

9.003582

8.70428

9.147525

8.644137

8.672892

10.083272

8.317254

8.044393

8.744612

8.286794

8.217219

8.123684

8.105322

8.307551

8.363832

8.644877

8.309728

hep-th/0701099

Matthew Roberts

Gary T. Horowitz and Matthew M. Roberts

Dynamics of First Order Transitions with Gravity Duals

11 pages, 1 figure. v2: minor clarifications, reference added

JHEP 0702:076,2007

10.1088/1126-6708/2007/02/076

null

hep-th gr-qc

null

A first order phase transition usually proceeds by nucleating bubbles of the new phase which then rapidly expand. In confining gauge theories with a gravity dual, the deconfined phase is often described by a black hole. If one starts in this phase and lowers the temperature, the usual description of how the phase transition proceeds violates the area theorem. We study the dynamics of this phase transition using the insights from the dual gravitational description, and resolve this apparent contradiction.

[ { "created": "Wed, 10 Jan 2007 18:30:38 GMT", "version": "v1" }, { "created": "Mon, 29 Jan 2007 23:45:21 GMT", "version": "v2" } ]

2010-10-27

[ [ "Horowitz", "Gary T.", "" ], [ "Roberts", "Matthew M.", "" ] ]

A first order phase transition usually proceeds by nucleating bubbles of the new phase which then rapidly expand. In confining gauge theories with a gravity dual, the deconfined phase is often described by a black hole. If one starts in this phase and lowers the temperature, the usual description of how the phase transition proceeds violates the area theorem. We study the dynamics of this phase transition using the insights from the dual gravitational description, and resolve this apparent contradiction.

9.821473

8.177908

8.727874

8.288908

8.354423

8.40644

7.986922

7.860085

8.380147

9.028218

7.367697

8.232415

8.180679

7.987835

7.998589

8.021869

8.377286

7.839367

7.94316

8.35518

7.927077

hep-th/0603156

Axel Kleinschmidt

Christian Hillmann, Axel Kleinschmidt, Hermann Nicolai

A note on gauge fixing in supergravity/Kac-Moody correspondences

13 pages

null

AEI-2006-015

hep-th

null

We explain how to achieve the traceless gauge for the spatial part of the spin connection in the framework of the recently proposed correspondence between the (appropriately truncated) bosonic sectors of maximal supergravities and the `geodesic' sigma-model over E10/K(E10) at low levels. After making this gauge choice, the residual symmetries on both sides of this correspondence match precisely. The gauge choice also allows us to give a physical interpretation to the multiplicity of certain primitive affine null roots of E10.

[ { "created": "Mon, 20 Mar 2006 16:54:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hillmann", "Christian", "" ], [ "Kleinschmidt", "Axel", "" ], [ "Nicolai", "Hermann", "" ] ]

We explain how to achieve the traceless gauge for the spatial part of the spin connection in the framework of the recently proposed correspondence between the (appropriately truncated) bosonic sectors of maximal supergravities and the `geodesic' sigma-model over E10/K(E10) at low levels. After making this gauge choice, the residual symmetries on both sides of this correspondence match precisely. The gauge choice also allows us to give a physical interpretation to the multiplicity of certain primitive affine null roots of E10.

15.035742

12.815821

18.367142

12.067092

13.879363

13.359349

13.430829

11.787661

12.675076

17.637554

12.373488

13.143246

15.491425

13.505081

13.091708

12.872262

12.109285

13.00834

12.824775

14.271566

13.145255

1501.03469

Yutaka Yoshida

Satoshi Okuda and Yutaka Yoshida

Gauge/Bethe correspondence on $S^1 \times \Sigma_h$ and index over moduli space

18 pages

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We introduce two-types of topologically twisted Chern-Simons-matter theories on the direct product of circle and genus-h Riemann surface (S^1 \times \Sigma_h). The partition functions of first model agrees with the partition functions of a generalizations of G/G gauged WZW model. We also find that correlation functions of Wilson loops in first type Chern-Simons-matter theory coincide with correlation functions of G elements in the generalization of G/G gauged WZW model. The partition function of this model also has nice interpretations as norms of eigen states of Hamiltonian in the quantum integrable model (q-boson hopping model) and also as a geometric index over a particular moduli space. In the second-type Chern-Simons-matter theory, the partition function is related to integration over moduli space of Hitchin equation on Riemann surface.

[ { "created": "Wed, 14 Jan 2015 20:15:45 GMT", "version": "v1" } ]

2015-01-15

[ [ "Okuda", "Satoshi", "" ], [ "Yoshida", "Yutaka", "" ] ]

We introduce two-types of topologically twisted Chern-Simons-matter theories on the direct product of circle and genus-h Riemann surface (S^1 \times \Sigma_h). The partition functions of first model agrees with the partition functions of a generalizations of G/G gauged WZW model. We also find that correlation functions of Wilson loops in first type Chern-Simons-matter theory coincide with correlation functions of G elements in the generalization of G/G gauged WZW model. The partition function of this model also has nice interpretations as norms of eigen states of Hamiltonian in the quantum integrable model (q-boson hopping model) and also as a geometric index over a particular moduli space. In the second-type Chern-Simons-matter theory, the partition function is related to integration over moduli space of Hitchin equation on Riemann surface.

8.723049

8.176676

10.782493

8.013949

8.073371

7.751007

8.687971

8.394533

8.119068

10.335972

8.287406

7.927225

8.854999

8.08568

7.915316

8.122025

8.234928

7.934475

8.022892

8.644143

8.360147

hep-th/0105116

Hongya Liu

Hongya Liu, Guowen Peng

Instability of the Randall-Sundrum Model and Exact Bulk Solutions

13 pages, Latex, no figures. v2: some references and a new section (section 6) added,section 2 slightly modified,abstract updated. to appear in General Relativity and Gravitation,2002

Gen.Rel.Grav.34:1579-1588,2002

10.1023/A:1020111921509

null

hep-th gr-qc hep-ph

null

Five dimensional geodesic equation is used to study the gravitational force acted on a test particle in the bulk of the Randall-Sundrum two-brane model.This force could be interpreted as the gravitational attraction from matters on the two branes and may cause the model to be unstable. By analogy with star models in astrophysics, a fluid RS model is proposed in which the bulk is filled with a fluid and this fluid has an anisotropic pressure to balance the gravity from the two branes. Thus a class of exact bulk solutions is obtained which shows that any 4D Einstein solution with a perfect fluid source can be embedded in $y=$ constant hypersurfaces in the bulk to form an equilibrium state of the brane model. By requiring a 4D effective curvature to have a minimum, the compactification size of the extra dimension is discussed.

[ { "created": "Sun, 13 May 2001 02:24:09 GMT", "version": "v1" }, { "created": "Thu, 4 Apr 2002 03:34:54 GMT", "version": "v2" } ]

2011-07-19

[ [ "Liu", "Hongya", "" ], [ "Peng", "Guowen", "" ] ]

Five dimensional geodesic equation is used to study the gravitational force acted on a test particle in the bulk of the Randall-Sundrum two-brane model.This force could be interpreted as the gravitational attraction from matters on the two branes and may cause the model to be unstable. By analogy with star models in astrophysics, a fluid RS model is proposed in which the bulk is filled with a fluid and this fluid has an anisotropic pressure to balance the gravity from the two branes. Thus a class of exact bulk solutions is obtained which shows that any 4D Einstein solution with a perfect fluid source can be embedded in $y=$ constant hypersurfaces in the bulk to form an equilibrium state of the brane model. By requiring a 4D effective curvature to have a minimum, the compactification size of the extra dimension is discussed.

12.261985

11.195072

11.500514

11.015887

11.424101

11.101604

11.464018

10.802185

11.542233

11.513188

11.158498

11.731318

11.362892

11.09293

11.233253

11.33604

11.571771

10.984685

11.585021

11.148441

11.400508

hep-th/0001202

David Broadhurst

D. J. Broadhurst, D. Kreimer

Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees

21 pages, LaTeX

Commun.Math.Phys. 215 (2000) 217-236

10.1007/PL00005540

OUT--4102--85, MZ--TH/00--01

hep-th math.QA

null

The renormalization of quantum field theory twists the antipode of a noncocommutative Hopf algebra of rooted trees, decorated by an infinite set of primitive divergences. The Hopf algebra of undecorated rooted trees, ${\cal H}_R$, generated by a single primitive divergence, solves a universal problem in Hochschild cohomology. It has two nontrivial closed Hopf subalgebras: the cocommutative subalgebra ${\cal H}_{\rm ladder}$ of pure ladder diagrams and the Connes-Moscovici noncocommutative subalgebra ${\cal H}_{\rm CM}$ of noncommutative geometry. These three Hopf algebras admit a bigrading by $n$, the number of nodes, and an index $k$ that specifies the degree of primitivity. In each case, we use iterations of the relevant coproduct to compute the dimensions of subspaces with modest values of $n$ and $k$ and infer a simple generating procedure for the remainder. The results for ${\cal H}_{\rm ladder}$ are familiar from the theory of partitions, while those for ${\cal H}_{\rm CM}$ involve novel transforms of partitions. Most beautiful is the bigrading of ${\cal H}_R$, the largest of the three. Thanks to Sloane's {\tt superseeker}, we discovered that it saturates all possible inequalities. We prove this by using the universal Hochschild-closed one-cocycle $B_+$, which plugs one set of divergences into another, and by generalizing the concept of natural growth beyond that entailed by the Connes-Moscovici case. We emphasize the yet greater challenge of handling the infinite set of decorations of realistic quantum field theory.

[ { "created": "Fri, 28 Jan 2000 20:33:10 GMT", "version": "v1" }, { "created": "Sat, 29 Jan 2000 16:36:26 GMT", "version": "v2" } ]

2009-10-31

[ [ "Broadhurst", "D. J.", "" ], [ "Kreimer", "D.", "" ] ]

The renormalization of quantum field theory twists the antipode of a noncocommutative Hopf algebra of rooted trees, decorated by an infinite set of primitive divergences. The Hopf algebra of undecorated rooted trees, ${\cal H}_R$, generated by a single primitive divergence, solves a universal problem in Hochschild cohomology. It has two nontrivial closed Hopf subalgebras: the cocommutative subalgebra ${\cal H}_{\rm ladder}$ of pure ladder diagrams and the Connes-Moscovici noncocommutative subalgebra ${\cal H}_{\rm CM}$ of noncommutative geometry. These three Hopf algebras admit a bigrading by $n$, the number of nodes, and an index $k$ that specifies the degree of primitivity. In each case, we use iterations of the relevant coproduct to compute the dimensions of subspaces with modest values of $n$ and $k$ and infer a simple generating procedure for the remainder. The results for ${\cal H}_{\rm ladder}$ are familiar from the theory of partitions, while those for ${\cal H}_{\rm CM}$ involve novel transforms of partitions. Most beautiful is the bigrading of ${\cal H}_R$, the largest of the three. Thanks to Sloane's {\tt superseeker}, we discovered that it saturates all possible inequalities. We prove this by using the universal Hochschild-closed one-cocycle $B_+$, which plugs one set of divergences into another, and by generalizing the concept of natural growth beyond that entailed by the Connes-Moscovici case. We emphasize the yet greater challenge of handling the infinite set of decorations of realistic quantum field theory.

8.6344

10.026643

9.257277

9.074436

9.281579

9.397036

9.719604

9.671732

9.095703

10.670144

8.402732

8.974033

9.20294

8.728254

8.928535

8.954693

8.728041

8.941268

8.924051

9.108035

8.858717

hep-th/0608145

Roberto Zucchini

The biHermitian topological sigma model

40 pages, Latex. Analysis of sect. 6 improved; references added

JHEP0612:039,2006

10.1088/1126-6708/2006/12/039

DFUB 06-2

hep-th math.DG

null

BiHermitian geometry, discovered long ago by Gates, Hull and Roceck, is the most general sigma model target space geometry allowing for (2,2) world sheet supersymmetry. By using the twisting procedure proposed by Kapustin and Li, we work out the type A and B topological sigma models for a general biHermtian target space, we write down the explicit expression of the sigma model's action and BRST transformations and present a computation of the topological gauge fermion and the topological action.

[ { "created": "Mon, 21 Aug 2006 15:02:53 GMT", "version": "v1" }, { "created": "Fri, 1 Sep 2006 07:17:24 GMT", "version": "v2" } ]

2009-11-11

[ [ "Zucchini", "Roberto", "" ] ]

BiHermitian geometry, discovered long ago by Gates, Hull and Roceck, is the most general sigma model target space geometry allowing for (2,2) world sheet supersymmetry. By using the twisting procedure proposed by Kapustin and Li, we work out the type A and B topological sigma models for a general biHermtian target space, we write down the explicit expression of the sigma model's action and BRST transformations and present a computation of the topological gauge fermion and the topological action.

13.611415

11.23958

15.822898

10.221603

11.050428

11.490602

11.562064

11.406835

9.911757

13.733109

11.369235

11.183987

13.364712

11.121305

11.16915

11.739958

11.402335

11.54275

12.032681

13.239474

11.500497

1307.7696

Andrei Linde

Sergio Ferrara, Renata Kallosh, Andrei Linde and Massimo Porrati

Minimal Supergravity Models of Inflation

25 pages, 5 figures, the version to appear in Phys. Rev. D

null

10.1103/PhysRevD.88.085038

CERN-TH/13-178

hep-th astro-ph.CO gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We present a superconformal master action for a class of supergravity models with one arbitrary function defining the Jordan frame. It leads to a gauge-invariant action for a real vector multiplet, which upon gauge fixing describes a massive vector multiplet, or to a dual formulation with a linear multiplet and a massive tensor field. In both cases the models have one real scalar, the inflaton, naturally suited for single-field inflation. Vectors and tensors required by supersymmetry to complement a single real scalar do not acquire vev's during inflation, so there is no need to stabilize the extra scalars which are always present in the theories with chiral matter multiplets. The new class of models can describe any inflaton potential which vanishes at its minimum and grows monotonically away from the minimum. In this class of supergravity models one can fit any desirable choice of inflationary parameters n_s and r.

[ { "created": "Mon, 29 Jul 2013 19:38:41 GMT", "version": "v1" }, { "created": "Mon, 21 Oct 2013 02:53:26 GMT", "version": "v2" } ]

2015-06-16

[ [ "Ferrara", "Sergio", "" ], [ "Kallosh", "Renata", "" ], [ "Linde", "Andrei", "" ], [ "Porrati", "Massimo", "" ] ]

We present a superconformal master action for a class of supergravity models with one arbitrary function defining the Jordan frame. It leads to a gauge-invariant action for a real vector multiplet, which upon gauge fixing describes a massive vector multiplet, or to a dual formulation with a linear multiplet and a massive tensor field. In both cases the models have one real scalar, the inflaton, naturally suited for single-field inflation. Vectors and tensors required by supersymmetry to complement a single real scalar do not acquire vev's during inflation, so there is no need to stabilize the extra scalars which are always present in the theories with chiral matter multiplets. The new class of models can describe any inflaton potential which vanishes at its minimum and grows monotonically away from the minimum. In this class of supergravity models one can fit any desirable choice of inflationary parameters n_s and r.

11.015076

10.70935

11.430479

9.564792

10.435913

10.403342

10.439912

10.288089

11.498759

11.891943

10.099187

9.991942

10.333907

10.279174

10.172961

10.02146

9.938393

9.845805

10.192041

10.661716

10.152439

hep-th/0605079

Kirill Krasnov

Kirill Krasnov (Nottingham)

Errata and Addendum to "Lambda<0 Quantum Gravity in 2+1 Dimensions"

4 pages, 5 figures

Class.Quant.Grav. 23 (2006) 3255-3258

10.1088/0264-9381/23/9/031

null

hep-th

null

We correct some errors in the two papers published with the above title in Class. Quant. Grav. 19 (2002). In particular, the correct prescription for computing the probabilities is given, in that appropriate normalization factors are introduced. The resulting computation of the semi-classical limit of probabilities actually becomes much simpler, and no CFT analysis is necessary. In spite of some mistakes, the conclusions of these two papers are to a large extent unchanged. In particular, we still get an exponentially small answer exp(-beta*M) for the black hole creation-evaporation probability.

[ { "created": "Sun, 7 May 2006 18:05:12 GMT", "version": "v1" } ]

2009-11-11

[ [ "Krasnov", "Kirill", "", "Nottingham" ] ]

We correct some errors in the two papers published with the above title in Class. Quant. Grav. 19 (2002). In particular, the correct prescription for computing the probabilities is given, in that appropriate normalization factors are introduced. The resulting computation of the semi-classical limit of probabilities actually becomes much simpler, and no CFT analysis is necessary. In spite of some mistakes, the conclusions of these two papers are to a large extent unchanged. In particular, we still get an exponentially small answer exp(-beta*M) for the black hole creation-evaporation probability.

16.091213

16.479727

14.872018

14.529535

15.257041

14.999447

14.430124

14.431549

15.144848

15.993784

14.814484

14.615658

15.000488

14.374865

14.494162

14.03701

14.247436

14.161489

15.201811

14.733485

14.427427

hep-th/9802032

Bandos

V. Akulov, I. Bandos, W. Kummer and V. Zima

D=10 super-D9-brane

34 pages, LATEX. Minor corrections. References added

Nucl.Phys.B527:61-94,1998

10.1016/S0550-3213(98)00292-2

TUW/98-07

hep-th

null

Superfield equations of motion for D=10 type IIB Dirichlet super-9-brane are obtained from the generalized action principle. The geometric equations containing fermionic superembedding equations and constraints on the generalized field strength of Abelian gauge field are separated from the proper dynamical equations and are found to contain these dynamical equations among their consequences. The set of superfield equations thus obtained involves a Spin(1,9) group valued superfield $h_\a^{~\b}$ whose leading component appears in the recently obtained simplified expression for the kappa-symmetry projector of the D9-brane. The Cayley image of this superfield coincides (on the mass shell) with the field strength tensor of the world volume gauge field characteristic for the Dirichlet brane. The superfield description of the super-9-brane obtained in this manner is known to be, on the one hand, the nonlinear (Born-Infeld) generalization of supersymmetric Yang-Mills theory and, on the other hand, the theory of partial spontaneous breaking of D=10, N=IIB supersymmetry down to D=10, N=1.

[ { "created": "Thu, 5 Feb 1998 19:12:37 GMT", "version": "v1" }, { "created": "Wed, 25 Feb 1998 14:48:17 GMT", "version": "v2" } ]

2016-09-06

[ [ "Akulov", "V.", "" ], [ "Bandos", "I.", "" ], [ "Kummer", "W.", "" ], [ "Zima", "V.", "" ] ]

Superfield equations of motion for D=10 type IIB Dirichlet super-9-brane are obtained from the generalized action principle. The geometric equations containing fermionic superembedding equations and constraints on the generalized field strength of Abelian gauge field are separated from the proper dynamical equations and are found to contain these dynamical equations among their consequences. The set of superfield equations thus obtained involves a Spin(1,9) group valued superfield $h_\a^{~\b}$ whose leading component appears in the recently obtained simplified expression for the kappa-symmetry projector of the D9-brane. The Cayley image of this superfield coincides (on the mass shell) with the field strength tensor of the world volume gauge field characteristic for the Dirichlet brane. The superfield description of the super-9-brane obtained in this manner is known to be, on the one hand, the nonlinear (Born-Infeld) generalization of supersymmetric Yang-Mills theory and, on the other hand, the theory of partial spontaneous breaking of D=10, N=IIB supersymmetry down to D=10, N=1.

9.775834

9.392664

11.235968

8.737545

9.051126

9.312334

8.913332

8.752797

8.503075

12.403101

8.680921

9.383776

9.701088

8.895612

9.015745

8.964132

8.890332

9.110725

8.909761

9.766434

8.731049

1007.2448

Henrique Boschi-Filho

C. A. Ballon Bayona, Henrique Boschi-Filho, Nelson R. F. Braga, Marcus A. C. Torres

Deep inelastic scattering for vector mesons in holographic D4-D8 model

15 pages, 4 tables, 8 figures. V2: we added explanations about Figures 3 and 4. Results unchanged

JHEP 1010:055,2010

10.1007/JHEP10(2010)055

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study deep inelastic scattering for vector and axial vector mesons in the holographic D4-D8 brane model. We consider tree level contributions with one particle in the final hadronic state. We obtain the unpolarized structure functions F1 and F2 for the rho and a1 mesons for q2 < 80 GeV2 and 0.2 < x < 1. We find that the ratio F2/(2xF1) is approximately equal to one for some ranges of x and q2, satisfying the Callan-Gross relation.

[ { "created": "Wed, 14 Jul 2010 22:34:20 GMT", "version": "v1" }, { "created": "Wed, 25 Aug 2010 21:53:15 GMT", "version": "v2" } ]

2011-03-28

[ [ "Bayona", "C. A. Ballon", "" ], [ "Boschi-Filho", "Henrique", "" ], [ "Braga", "Nelson R. F.", "" ], [ "Torres", "Marcus A. C.", "" ] ]

We study deep inelastic scattering for vector and axial vector mesons in the holographic D4-D8 brane model. We consider tree level contributions with one particle in the final hadronic state. We obtain the unpolarized structure functions F1 and F2 for the rho and a1 mesons for q2 < 80 GeV2 and 0.2 < x < 1. We find that the ratio F2/(2xF1) is approximately equal to one for some ranges of x and q2, satisfying the Callan-Gross relation.

6.302518

6.343248

6.367886

5.864774

6.969471

6.000932

6.58295

6.018186

5.482078

6.748706

6.307818

5.920549

5.896766

5.992168

6.22475

6.193295

5.919921

5.995193

5.835582

6.075161

6.281702

1208.6302

Marc Henneaux

Claudio Bunster and Marc Henneaux

Duality invariance implies Poincare invariance

null

10.1103/PhysRevLett.110.011603

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider all possible dynamical theories which evolve two transverse vector fields out of a three-dimensional Euclidean hyperplane, subject to only two assumptions: (i) the evolution is local in space, and (ii) the theory is invariant under "duality rotations" of the vector fields into one another. The commutators of the Hamiltonian and momentum densities are shown to be necessarily those of the Poincare group or its zero signature contraction. Space-time structure thus emerges out of the principle of duality.

[ { "created": "Thu, 30 Aug 2012 20:10:55 GMT", "version": "v1" } ]

2015-06-11

[ [ "Bunster", "Claudio", "" ], [ "Henneaux", "Marc", "" ] ]

We consider all possible dynamical theories which evolve two transverse vector fields out of a three-dimensional Euclidean hyperplane, subject to only two assumptions: (i) the evolution is local in space, and (ii) the theory is invariant under "duality rotations" of the vector fields into one another. The commutators of the Hamiltonian and momentum densities are shown to be necessarily those of the Poincare group or its zero signature contraction. Space-time structure thus emerges out of the principle of duality.

12.561207

14.755749

11.318791

11.887113

12.062021

13.933208

12.695413

13.698604

13.02256

12.7417

12.995655

12.674765

11.804149

11.877101

11.75666

12.36605

11.801438

11.734394

11.993804

11.804312

12.13386

hep-th/0001163

Christoph Adam

C. Adam, B. Muratori, C. Nash

Hopf instantons and the Liouville equation in target space

Latex file, 11 pages, no figures

Phys.Lett. B479 (2000) 329-335

10.1016/S0370-2693(00)00320-8

null

hep-th

null

We generalise recent results on Hopf instantons in a Chern--Simons and Fermion theory in a fixed background magnetic field. We find that these instanton solutions have to obey the Liouville equation in target space. As a consequence, these solutions are given by a class of Hopf maps that consist of the composition of the standard Hopf map with an arbitrary rational map.

[ { "created": "Tue, 25 Jan 2000 11:32:12 GMT", "version": "v1" } ]

2009-10-31

[ [ "Adam", "C.", "" ], [ "Muratori", "B.", "" ], [ "Nash", "C.", "" ] ]

We generalise recent results on Hopf instantons in a Chern--Simons and Fermion theory in a fixed background magnetic field. We find that these instanton solutions have to obey the Liouville equation in target space. As a consequence, these solutions are given by a class of Hopf maps that consist of the composition of the standard Hopf map with an arbitrary rational map.

14.75595

13.17351

13.00847

12.893467

12.553288

13.124069

13.132658

12.243065

12.255982

14.945477

13.106855

12.405402

13.011045

12.225915

12.002012

12.107713

12.427726

12.541503

12.525281

13.091008

12.508116

hep-th/0703196

David Shih

Spontaneous R-Symmetry Breaking in O'Raifeartaigh Models

19 pages; v2: reference added, minor changes; v3: important typo fixed

JHEP 0802:091,2008

10.1088/1126-6708/2008/02/091

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the question of whether spontaneous U(1)_R breaking can occur in O'Raifeartaigh-type models of spontaneous supersymmetry breaking. We show that in order for it to occur, there must be a field in the theory with R-charge different from 0 or 2. We construct the simplest O'Raifeartaigh model with this property, and we find that for a wide range of parameters, it has a meta-stable vacuum where U(1)_R is spontaneously broken. This suggests that spontaneous U(1)_R breaking actually occurs in generic O'Raifeartaigh models.

[ { "created": "Thu, 22 Mar 2007 03:41:19 GMT", "version": "v1" }, { "created": "Thu, 14 Feb 2008 04:52:10 GMT", "version": "v2" }, { "created": "Thu, 19 Jan 2012 20:39:38 GMT", "version": "v3" } ]

2012-01-20

[ [ "Shih", "David", "" ] ]

We study the question of whether spontaneous U(1)_R breaking can occur in O'Raifeartaigh-type models of spontaneous supersymmetry breaking. We show that in order for it to occur, there must be a field in the theory with R-charge different from 0 or 2. We construct the simplest O'Raifeartaigh model with this property, and we find that for a wide range of parameters, it has a meta-stable vacuum where U(1)_R is spontaneously broken. This suggests that spontaneous U(1)_R breaking actually occurs in generic O'Raifeartaigh models.

4.223065

3.757303

4.031159

3.723644

3.865245

3.609305

3.759334

3.532879

3.713494

4.17756

3.592512

3.858735

3.926723

3.743116

3.857916

3.815648

3.802749

3.750138

3.852937

3.844104

3.680505

1112.5174

Alberto Nicolis

Alberto Nicolis and Federico Piazza

Spontaneous Symmetry Probing

31 pages

null

10.1007/JHEP06(2012)025

null

hep-th gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

For relativistic quantum field theories, we consider Lorentz breaking, spatially homogeneous field configurations or states that evolve in time along a symmetry direction. We dub this situation "spontaneous symmetry probing" (SSP). We mainly focus on internal symmetries, i.e. on symmetries that commute with the Poincare group. We prove that the fluctuations around SSP states have a Lagrangian that is explicitly time independent, and we provide the field space parameterization that makes this manifest. We show that there is always a gapless Goldstone excitation that perturbs the system in the direction of motion in field space. Perhaps more interestingly, we show that if such a direction is part of a non-Abelian group of symmetries, the Goldstone bosons associated with spontaneously broken generators that do not commute with the SSP one acquire a gap, proportional to the SSP state's "speed". We outline possible applications of this formalism to inflationary cosmology.

[ { "created": "Wed, 21 Dec 2011 21:12:46 GMT", "version": "v1" } ]

2015-06-03

[ [ "Nicolis", "Alberto", "" ], [ "Piazza", "Federico", "" ] ]

For relativistic quantum field theories, we consider Lorentz breaking, spatially homogeneous field configurations or states that evolve in time along a symmetry direction. We dub this situation "spontaneous symmetry probing" (SSP). We mainly focus on internal symmetries, i.e. on symmetries that commute with the Poincare group. We prove that the fluctuations around SSP states have a Lagrangian that is explicitly time independent, and we provide the field space parameterization that makes this manifest. We show that there is always a gapless Goldstone excitation that perturbs the system in the direction of motion in field space. Perhaps more interestingly, we show that if such a direction is part of a non-Abelian group of symmetries, the Goldstone bosons associated with spontaneously broken generators that do not commute with the SSP one acquire a gap, proportional to the SSP state's "speed". We outline possible applications of this formalism to inflationary cosmology.

9.752315

10.168206

9.931057

8.995534

10.158898

11.159387

9.700484

9.376543

9.380564

10.675436

9.308542

9.136295

9.253638

9.432859

9.385302

9.214168

9.067939

8.993574

8.882687

9.494448

9.072574

hep-th/0005224

David Nolland

Paul Mansfield and David Nolland

Order 1/N^2 test of the Maldacena conjecture: Cancellation of the one-loop Weyl anomaly

LaTeX, 8 pages. Explanatory note added about boundary conditions. Typographical errors in table 2 corrected

Phys.Lett. B495 (2000) 435-439

10.1016/S0370-2693(00)01247-8

null

hep-th

null

We test the Maldacena conjecture for type IIB String Theory/ N=4 Yang-Mills by calculating the one-loop corrections in the bulk theory to the Weyl anomaly of the boundary CFT when the latter is coupled to a Ricci-flat metric. The contributions cancel within each supermultiplet, in agreement with the conjecture.

[ { "created": "Wed, 24 May 2000 17:54:47 GMT", "version": "v1" }, { "created": "Mon, 5 Jun 2000 15:12:20 GMT", "version": "v2" }, { "created": "Tue, 19 Sep 2000 17:03:59 GMT", "version": "v3" }, { "created": "Wed, 23 May 2001 12:47:58 GMT", "version": "v4" } ]

2009-10-31

[ [ "Mansfield", "Paul", "" ], [ "Nolland", "David", "" ] ]

We test the Maldacena conjecture for type IIB String Theory/ N=4 Yang-Mills by calculating the one-loop corrections in the bulk theory to the Weyl anomaly of the boundary CFT when the latter is coupled to a Ricci-flat metric. The contributions cancel within each supermultiplet, in agreement with the conjecture.

10.583903

8.798626

11.59756

8.878464

8.601694

9.312172

8.789622

8.329206

9.130562

9.22839

8.4917

9.280686

10.287774

8.815872

9.174099

9.546118

9.382261

8.847216

9.069282

9.681577

9.416512

1010.1209

Daniele Colosi

Daniele Colosi (UNAM)

General boundary quantum field theory in de Sitter spacetime

28 pages, LaTeX + revtex4

null

UNAM-IM-MOR-2010-2

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We quantize a massive scalar field in de Sitter spacetime and derive the S-matrix for the general interacting theory. Using the general boundary formulation of quantum field theory, we also propose a new type of S-matrix derived from the asymptotic limit of the amplitude associated with a spacetime region bounded by one connected and timelike hypersurface. Based on previous works in Minkowski spacetime, we call this region the hypercylinder region. We show how the new S- matrix coincides with the usual one by constructing an isomorphism between the space of temporal asymptotic states of the traditional setting and the space of spatial asymptotic states defined on the asymptotic hypercylinder.

[ { "created": "Wed, 6 Oct 2010 17:27:11 GMT", "version": "v1" } ]

2010-10-07

[ [ "Colosi", "Daniele", "", "UNAM" ] ]

We quantize a massive scalar field in de Sitter spacetime and derive the S-matrix for the general interacting theory. Using the general boundary formulation of quantum field theory, we also propose a new type of S-matrix derived from the asymptotic limit of the amplitude associated with a spacetime region bounded by one connected and timelike hypersurface. Based on previous works in Minkowski spacetime, we call this region the hypercylinder region. We show how the new S- matrix coincides with the usual one by constructing an isomorphism between the space of temporal asymptotic states of the traditional setting and the space of spatial asymptotic states defined on the asymptotic hypercylinder.

8.353273

7.932272

8.404692

7.841029

7.617253

8.417141

7.95938

8.234877

7.623426

8.315619

7.464369

7.919398

7.673537

7.640498

7.892212

7.797411

7.69827

7.744672

7.73499

7.82344

7.639738

hep-th/9502041

Chong Ming Yung

C. M. Yung and M. T. Batchelor

Exact solution for the spin-$s$ XXZ quantum chain with non-diagonal twists

25 pages, LaTeX

Nucl.Phys. B446 (1995) 461-484

10.1016/0550-3213(95)00168-R

Australian National University MRR 014-95

hep-th

null

We study integrable vertex models and quantum spin chains with toroidal boundary conditions. An interesting class of such boundaries is associated with non-diagonal twist matrices. For such models there are no trivial reference states upon which a Bethe ansatz calculation can be constructed, in contrast to the well-known case of periodic boundary conditions. In this paper we show how the transfer matrix eigenvalue expression for the spin-$s$ XXZ chain twisted by the charge-conjugation matrix can in fact be obtained. The technique used is the generalization to spin-$s$ of the functional relation method based on ``pair-propagation through a vertex''. The Bethe ansatz-type equations obtained reduce, in the case of lattice size $N=1$, to those recently found for the Hofstadter problem of Bloch electrons on a square lattice in a magnetic field.

[ { "created": "Tue, 7 Feb 1995 21:02:54 GMT", "version": "v1" } ]

2016-09-06

[ [ "Yung", "C. M.", "" ], [ "Batchelor", "M. T.", "" ] ]

We study integrable vertex models and quantum spin chains with toroidal boundary conditions. An interesting class of such boundaries is associated with non-diagonal twist matrices. For such models there are no trivial reference states upon which a Bethe ansatz calculation can be constructed, in contrast to the well-known case of periodic boundary conditions. In this paper we show how the transfer matrix eigenvalue expression for the spin-$s$ XXZ chain twisted by the charge-conjugation matrix can in fact be obtained. The technique used is the generalization to spin-$s$ of the functional relation method based on ``pair-propagation through a vertex''. The Bethe ansatz-type equations obtained reduce, in the case of lattice size $N=1$, to those recently found for the Hofstadter problem of Bloch electrons on a square lattice in a magnetic field.

9.426057

11.006628

11.772258

9.655673

10.63402

10.852595

11.003036

10.15799

10.072438

11.794924

10.079902

8.861668

10.041689

9.029206

9.264513

9.243128

9.001678

9.052547

8.947296

9.714042

9.115158

hep-th/9609238

Jorge L. Lopez

J. Ellis. N. Mavromatos, and D. Nanopoulos

D-Brane Recoil Mislays Information

34 pages, LaTeX, 2 figures (included)

Int.J.Mod.Phys.A13:1059-1090,1998

10.1142/S0217751X98000470

CERN-TH/96-264

hep-th

null

We discuss the scattering of a light closed-string state off a $D$ brane, taking into account quantum recoil effects on the latter, which are described by a pair of logarithmic operators. The light-particle and $D$-brane subsystems may each be described by a world-sheet with an external source due to the interaction between them. This perturbs each subsystem away from criticality, which is compensated by dressing with a Liouville field whose zero mode we interpret as time. The resulting evolution equations for the $D$ brane and the closed string are of Fokker-Planck and modified quantum Liouville type, respectively. The apparent entropy of each subsystem increases as a result of the interaction between them, which we interpret as the loss of information resulting from non-observation of the other entangled subsystem. We speculate on the possible implications of these results for the propagation of closed strings through a dilute gas of virtual $D$ branes.

[ { "created": "Mon, 30 Sep 1996 19:28:04 GMT", "version": "v1" } ]

2009-09-11

[ [ "Mavromatos", "J. Ellis. N.", "" ], [ "Nanopoulos", "D.", "" ] ]

We discuss the scattering of a light closed-string state off a $D$ brane, taking into account quantum recoil effects on the latter, which are described by a pair of logarithmic operators. The light-particle and $D$-brane subsystems may each be described by a world-sheet with an external source due to the interaction between them. This perturbs each subsystem away from criticality, which is compensated by dressing with a Liouville field whose zero mode we interpret as time. The resulting evolution equations for the $D$ brane and the closed string are of Fokker-Planck and modified quantum Liouville type, respectively. The apparent entropy of each subsystem increases as a result of the interaction between them, which we interpret as the loss of information resulting from non-observation of the other entangled subsystem. We speculate on the possible implications of these results for the propagation of closed strings through a dilute gas of virtual $D$ branes.

8.809128

9.437624

9.11226

8.832842

10.066893

9.855098

10.294735

9.757524

8.851664

9.662745

8.996547

8.523334

8.534894

8.55941

8.332621

8.44725

8.455583

8.208896

8.348786

8.576212

8.365455

2205.00226

Jian-Pin Wu

Da-Zhu Ma, Fang Xia, Dan Zhang, Guoyang Fu, Jian-Pin Wu

Chaotic dynamics of string around the conformal black hole

20 pages, 7 figure

Eur. Phys. J. C (2022) 82:372

10.1140/epjc/s10052-022-10338-5

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper, we make a systematical and in-depth study on the chaotic dynamics of the string around the conformal black hole. Depending on the characteristic parameter of the conformal black hole and the initial position of the string, there are three kinds of dynamical behaviors: ordered, chaotic and being captured, chaotic but not being captured. A particular interesting observation is that there is a sharp transition in chaotic dynamics when the black hole horizon disappears, which is indepent of the initial position of the string. It provides a possible way to probe the horizon structure of the massive body. We also examine the generalized MSS (Maldacena, Shenker and Stanford) inequality, which is proposed in holographic dual field theory, and find that the generalized MSS inequality holds even in the asymptotically flat black hole background. Especially, as the initial position of the string approaches the black hole horizon, the Lyapunov exponent also approaches the upper bound of the generalized MSS inequality.

[ { "created": "Sat, 30 Apr 2022 10:24:44 GMT", "version": "v1" } ]

2022-05-03

[ [ "Ma", "Da-Zhu", "" ], [ "Xia", "Fang", "" ], [ "Zhang", "Dan", "" ], [ "Fu", "Guoyang", "" ], [ "Wu", "Jian-Pin", "" ] ]

In this paper, we make a systematical and in-depth study on the chaotic dynamics of the string around the conformal black hole. Depending on the characteristic parameter of the conformal black hole and the initial position of the string, there are three kinds of dynamical behaviors: ordered, chaotic and being captured, chaotic but not being captured. A particular interesting observation is that there is a sharp transition in chaotic dynamics when the black hole horizon disappears, which is indepent of the initial position of the string. It provides a possible way to probe the horizon structure of the massive body. We also examine the generalized MSS (Maldacena, Shenker and Stanford) inequality, which is proposed in holographic dual field theory, and find that the generalized MSS inequality holds even in the asymptotically flat black hole background. Especially, as the initial position of the string approaches the black hole horizon, the Lyapunov exponent also approaches the upper bound of the generalized MSS inequality.

8.889413

8.32594

9.4104

8.650754

8.493514

8.904454

8.958915

8.213301

8.067589

10.295695

8.298383

8.242024

8.597922

8.386069

8.42228

8.112178

8.371312

8.203773

8.290587

8.89508

8.416345