LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9111011

Thordur Jonsson

Intrinsic and extrinsic geometry of random surfaces

9 pages

Phys.Lett. B278 (1992) 89-93

10.1016/0370-2693(92)90716-H

null

hep-th

null

We prove that the extrinsic Hausdorff dimension is always greater than or equal to the intrinsic Hausdorff dimension in models of triangulated random surfaces with action which is quadratic in the separation of vertices. We furthermore derive a few naive scaling relations which relate the intrinsic Hausdorff dimension to other critical exponents. These relations suggest that the intrinsic Hausdorff dimension is infinite if the susceptibility does not diverge at the critical point.

[ { "created": "Tue, 5 Nov 1991 09:01:35 GMT", "version": "v1" } ]

2009-10-22

[ [ "Jonsson", "Thordur", "" ] ]

We prove that the extrinsic Hausdorff dimension is always greater than or equal to the intrinsic Hausdorff dimension in models of triangulated random surfaces with action which is quadratic in the separation of vertices. We furthermore derive a few naive scaling relations which relate the intrinsic Hausdorff dimension to other critical exponents. These relations suggest that the intrinsic Hausdorff dimension is infinite if the susceptibility does not diverge at the critical point.

8.659559

7.128525

8.846575

7.62841

7.325154

7.459184

7.78975

7.403608

7.762452

9.140186

7.283419

7.544909

8.036127

7.746718

7.754818

7.514289

7.657715

7.720139

7.515781

8.056158

7.418376

hep-th/0406122

Vadim Kaplunovsky

Edoardo Di Napoli, Vadim S. Kaplunovsky, Jacob Sonnenschein

Chiral Rings of Deconstructive [SU(n_c)]^N Quivers

93 pages, LaTeX, PSTricks macros; 1 reference added in v2

JHEP 0406 (2004) 060

10.1088/1126-6708/2004/06/060

UTTG-03-04, TAUP-2772-04

hep-th

null

Dimensional deconstruction of 5D SQCD with general n_c, n_f and k_CS gives rise to 4D N=1 gauge theories with large quivers of SU(n_c) gauge factors. We construct the chiral rings of such [SU(n_c)]^N theories, off-shell and on-shell. Our results are broadly similar to the chiral rings of single U(n_c) theories with both adjoint and fundamental matter, but there are also some noteworthy differences such as nonlocal meson-like operators where the quark and antiquark fields belong to different nodes of the quiver. And because our gauge groups are SU(n_c) rather than U(n_c), our chiral rings also contain a whole zoo of baryonic and antibaryonic operators.

[ { "created": "Tue, 15 Jun 2004 14:04:24 GMT", "version": "v1" }, { "created": "Wed, 1 Sep 2004 22:35:22 GMT", "version": "v2" } ]

2009-11-10

[ [ "Di Napoli", "Edoardo", "" ], [ "Kaplunovsky", "Vadim S.", "" ], [ "Sonnenschein", "Jacob", "" ] ]

Dimensional deconstruction of 5D SQCD with general n_c, n_f and k_CS gives rise to 4D N=1 gauge theories with large quivers of SU(n_c) gauge factors. We construct the chiral rings of such [SU(n_c)]^N theories, off-shell and on-shell. Our results are broadly similar to the chiral rings of single U(n_c) theories with both adjoint and fundamental matter, but there are also some noteworthy differences such as nonlocal meson-like operators where the quark and antiquark fields belong to different nodes of the quiver. And because our gauge groups are SU(n_c) rather than U(n_c), our chiral rings also contain a whole zoo of baryonic and antibaryonic operators.

9.517928

9.150616

9.916248

8.592059

9.142528

9.158279

8.81135

8.370373

8.532598

10.615509

8.576287

9.182216

9.005935

8.537642

8.712015

8.789887

8.699018

8.918445

8.76246

9.046824

9.000979

hep-th/0407184

Sugumi Kanno

Sugumi Kanno, Jiro Soda

A Unified View of RS Braneworlds

10 pages, to appear in QG issue of TSPU Vestnik

TSPU Vestnik 44N7 (2004) 15-24

null

KUNS-1930

hep-th gr-qc

null

There are various different descriptions of Randall-Sundrum (RS) braneworlds. Here we present a unified view of the braneworld based on the gradient expansion approach. In the case of the single-brane model, we reveal the relation between the geometrical and the AdS/CFT approach. It turns out that the high energy and the Weyl term corrections found in the geometrical approach merge into the CFT matter correction found in the AdS/CFT approach. We also clarify the role of the radion in the two-brane system. It is shown that the radion transforms the Einstein theory with Weyl correction into the conformally coupled scalar-tensor theory where the radion plays the role of the scalar field.

[ { "created": "Wed, 21 Jul 2004 10:13:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kanno", "Sugumi", "" ], [ "Soda", "Jiro", "" ] ]

There are various different descriptions of Randall-Sundrum (RS) braneworlds. Here we present a unified view of the braneworld based on the gradient expansion approach. In the case of the single-brane model, we reveal the relation between the geometrical and the AdS/CFT approach. It turns out that the high energy and the Weyl term corrections found in the geometrical approach merge into the CFT matter correction found in the AdS/CFT approach. We also clarify the role of the radion in the two-brane system. It is shown that the radion transforms the Einstein theory with Weyl correction into the conformally coupled scalar-tensor theory where the radion plays the role of the scalar field.

7.939495

6.593446

6.799044

6.47077

6.310428

6.563724

6.526083

6.029186

6.533886

7.041218

6.716159

6.594953

6.839658

6.647116

6.676484

6.873094

6.848463

6.858174

6.873592

7.094887

6.710272

hep-th/0511112

Archil Kobakhidze

R. Holman and L. Mersini-Houghton

A Fly in the SOUP

5 pages

Phys.Rev. D74 (2006) 043511

10.1103/PhysRevD.74.043511

null

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

null

We investigate the Selection of Original Universe Proposal (SOUP) of Tye et al. and show that as it stands, this proposal is flawed. The corrections to the Euclidean gravity action that were to select a Universe with a sufficiently large value of the cosmological constant $\Lambda$ to allow for an inflationary phase, only serve to {\it renormalize} the cosmological constant so that $\Lambda \to \Lambda_{\rm eff}$, thereby reintroducing the issue of how to select the initial conditions allowing for inflation in the early Universe.

[ { "created": "Wed, 9 Nov 2005 18:58:54 GMT", "version": "v1" } ]

2009-11-11

[ [ "Holman", "R.", "" ], [ "Mersini-Houghton", "L.", "" ] ]

We investigate the Selection of Original Universe Proposal (SOUP) of Tye et al. and show that as it stands, this proposal is flawed. The corrections to the Euclidean gravity action that were to select a Universe with a sufficiently large value of the cosmological constant $\Lambda$ to allow for an inflationary phase, only serve to {\it renormalize} the cosmological constant so that $\Lambda \to \Lambda_{\rm eff}$, thereby reintroducing the issue of how to select the initial conditions allowing for inflation in the early Universe.

12.106641

11.164291

10.646206

10.079664

12.096767

11.549426

11.144894

10.35333

11.234238

12.319167

11.15403

10.381865

10.75085

10.521852

11.229092

10.533538

10.301682

10.655165

10.527861

10.875892

10.884693

hep-th/0611129

Zbigniew Hasiewicz

Marcin Daszkiewicz (IFT UWr), Zbigniew Hasiewicz (IFT UwB), Tomasz Nikiciuk (IFT UwB), Cezary J. Walczyk (IFT UwB)

High spin particles with spin-mass coupling II

12 pages, 1 figure, the paper accepted for publication in Advances in Applied Clifford Algebra

Adv.Appl.CliffordAlgebras18:43-56,2008

10.1007/s00006-007-0062-7

IFT UwB 03/2006

hep-th

null

The classical and quantum model of high spin particles with spin-mass coupling is presented in this paper. The mass spectrum of the model is symmetric with respect to particle-antiparticle exchange. The quantum model contains elementary particles and the cluster states generating infinite degeneracy of the mass spectrum.

[ { "created": "Sat, 11 Nov 2006 11:17:49 GMT", "version": "v1" }, { "created": "Thu, 23 Aug 2007 08:36:55 GMT", "version": "v2" } ]

2008-11-26

[ [ "Daszkiewicz", "Marcin", "", "IFT UWr" ], [ "Hasiewicz", "Zbigniew", "", "IFT UwB" ], [ "Nikiciuk", "Tomasz", "", "IFT UwB" ], [ "Walczyk", "Cezary J.", "", "IFT UwB" ] ]

The classical and quantum model of high spin particles with spin-mass coupling is presented in this paper. The mass spectrum of the model is symmetric with respect to particle-antiparticle exchange. The quantum model contains elementary particles and the cluster states generating infinite degeneracy of the mass spectrum.

16.489113

10.702756

14.252751

12.265517

13.310079

13.896551

12.237132

12.069224

12.357718

12.736128

12.434406

12.903191

13.507367

12.975945

13.311452

13.488672

13.121789

13.016148

12.731555

13.633214

12.504793

0904.4556

Sarben Sarkar

The Omega Effect for Neutral Mesons

Accepted for publication in Journal of Physics: Conference Series, Discrete '08, Symposium on Prospects in the Physics of Discrete Symmetries, Valencia, December 2008

J.Phys.Conf.Ser.171:012040,2009

10.1088/1742-6596/171/1/012040

null

hep-th

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

The possible role of decoherence due to space-time foam is discussed within the context of two models, one based on string/brane theory. and the other based on properties of black hole horizons in general relativity. It is argued that the density matrix satisfies a dissipative master equation, primarily from the study of renormalization group flows in non-critical string theory.This interpretation of the zero mode of the Liouville field as time leads necessarily to the CPT operator being ill defined. One striking consequence is that the quantum mechanical correlations of pair states of neutral mesons produced in meson factories are changed from the usual EPR state. The magnitude of this departure from EPR correlations is characterised by a parameter $\omega$. The predicted value of $\omega$ is very small or zero. However it is shown explicitly that the the non-vanishing of $\omega$ is only a feature of the model based on string/brane theory.

[ { "created": "Wed, 29 Apr 2009 08:56:29 GMT", "version": "v1" } ]

2009-08-03

[ [ "Sarkar", "Sarben", "" ] ]

The possible role of decoherence due to space-time foam is discussed within the context of two models, one based on string/brane theory. and the other based on properties of black hole horizons in general relativity. It is argued that the density matrix satisfies a dissipative master equation, primarily from the study of renormalization group flows in non-critical string theory.This interpretation of the zero mode of the Liouville field as time leads necessarily to the CPT operator being ill defined. One striking consequence is that the quantum mechanical correlations of pair states of neutral mesons produced in meson factories are changed from the usual EPR state. The magnitude of this departure from EPR correlations is characterised by a parameter $\omega$. The predicted value of $\omega$ is very small or zero. However it is shown explicitly that the the non-vanishing of $\omega$ is only a feature of the model based on string/brane theory.

12.433057

13.268968

11.011079

11.809981

12.316198

13.411365

12.800159

12.089499

11.506292

12.592985

12.455532

12.412407

12.115176

12.072341

12.07104

12.026236

12.312282

12.421464

12.249032

12.304599

12.247873

1510.08926

Henning Samtleben

A. Baguet, C.N. Pope, H. Samtleben

Consistent Pauli reduction on group manifolds

16 pages

null

10.1016/j.physletb.2015.11.062

MI-TH-1536

hep-th

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

We prove an old conjecture by Duff, Nilsson, Pope and Warner asserting that the NS-NS sector of supergravity (and more general the bosonic string) allows for a consistent Pauli reduction on any d-dimensional group manifold G, keeping the full set of gauge bosons of the G x G isometry group of the bi-invariant metric on G. The main tool of the construction is a particular generalised Scherk-Schwarz reduction ansatz in double field theory which we explicitly construct in terms of the group's Killing vectors. Examples include the consistent reduction from ten dimensions on $S^3\times S^3$ and on similar product spaces. The construction is another example of globally geometric non-toroidal compactifications inducing non-geometric fluxes.

[ { "created": "Thu, 29 Oct 2015 22:10:43 GMT", "version": "v1" } ]

2015-12-02

[ [ "Baguet", "A.", "" ], [ "Pope", "C. N.", "" ], [ "Samtleben", "H.", "" ] ]

We prove an old conjecture by Duff, Nilsson, Pope and Warner asserting that the NS-NS sector of supergravity (and more general the bosonic string) allows for a consistent Pauli reduction on any d-dimensional group manifold G, keeping the full set of gauge bosons of the G x G isometry group of the bi-invariant metric on G. The main tool of the construction is a particular generalised Scherk-Schwarz reduction ansatz in double field theory which we explicitly construct in terms of the group's Killing vectors. Examples include the consistent reduction from ten dimensions on $S^3\times S^3$ and on similar product spaces. The construction is another example of globally geometric non-toroidal compactifications inducing non-geometric fluxes.

13.973288

10.77343

14.656667

11.303102

11.395192

11.052367

10.860632

10.716725

11.749228

17.662128

10.988764

12.181643

12.512673

11.106569

11.63468

11.456638

11.200332

10.912459

11.505684

12.322201

11.363819

hep-th/9406024

null

F. Illuminati, M. Patriarca, and P. Sodano

Classical and quantum dissipation in non homogeneous environments

17 pages, plain LaTeX [12pt,A4wide], DFPD 94/TH/24

Physica A211 (1994) 449

10.1016/0378-4371(94)00171-5

null

hep-th cond-mat

null

We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time functions, which are shown to represent a modulation of the internal noise by the external forces. The model thus provides a description of classical and quantum dissipation in non homogeneous environments. In the classical case we derive a generalized Langevin equation with nonlinear multiplicative noise and a position-dependent fluctuation- dissipation theorem associated to non homogeneous dissipative forces. When time-modulation of the noise is present, a new force term is predicted besides the dissipative and random ones. The model is quantized to obtain the non homogenous influence functional and master equation for the reduced density matrix of the Brownian particle. The quantum evolution equations reproduce the correct Langevin dynamics in the semiclassical limit. The consequences for the issues of decoherence and localization are discussed.

[ { "created": "Sat, 4 Jun 1994 19:40:00 GMT", "version": "v1" } ]

2009-10-28

[ [ "Illuminati", "F.", "" ], [ "Patriarca", "M.", "" ], [ "Sodano", "P.", "" ] ]

We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time functions, which are shown to represent a modulation of the internal noise by the external forces. The model thus provides a description of classical and quantum dissipation in non homogeneous environments. In the classical case we derive a generalized Langevin equation with nonlinear multiplicative noise and a position-dependent fluctuation- dissipation theorem associated to non homogeneous dissipative forces. When time-modulation of the noise is present, a new force term is predicted besides the dissipative and random ones. The model is quantized to obtain the non homogenous influence functional and master equation for the reduced density matrix of the Brownian particle. The quantum evolution equations reproduce the correct Langevin dynamics in the semiclassical limit. The consequences for the issues of decoherence and localization are discussed.

12.926582

14.750711

13.522163

13.062861

14.152106

14.397447

13.82203

13.276188

13.307564

14.193514

13.347561

13.365715

13.274496

12.931787

13.58418

13.108552

13.169644

13.055037

12.655708

12.919419

12.877081

2407.08793

Alek Bedroya

Alek Bedroya, Qianshu Lu, Paul Steinhardt

TCC in the interior of moduli space and its implications for the string landscape and cosmology

35 pages, 11 figures

null

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

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

We consider the classical Friedmann-Robertson-Walker solutions that describe a universe undergoing a transition from an accelerating expansion phase in the past to an eternal decelerating expansion phase in the future, driven by a scalar field evolving in a potential energy landscape. We show that any solution for which the accelerating phase violates the Trans-Planckian Censorship Conjecture (TCC), even in the interior of moduli space, never approaches the asymptotic vacuum with zero particles. Based on the assumption that the effective field theory must be valid for the vacuum on the asymptotic boundary, as motivated by holography and string theory, we argue that (multi-field) scalar potentials with such solutions are disallowed, thus strengthening the case for TCC. In particular, the results imply a new set of complex and highly-nonlinear constraints across the entire string landscape which may make realizing inflation impossible.

[ { "created": "Thu, 11 Jul 2024 18:08:05 GMT", "version": "v1" } ]

2024-07-15

[ [ "Bedroya", "Alek", "" ], [ "Lu", "Qianshu", "" ], [ "Steinhardt", "Paul", "" ] ]

We consider the classical Friedmann-Robertson-Walker solutions that describe a universe undergoing a transition from an accelerating expansion phase in the past to an eternal decelerating expansion phase in the future, driven by a scalar field evolving in a potential energy landscape. We show that any solution for which the accelerating phase violates the Trans-Planckian Censorship Conjecture (TCC), even in the interior of moduli space, never approaches the asymptotic vacuum with zero particles. Based on the assumption that the effective field theory must be valid for the vacuum on the asymptotic boundary, as motivated by holography and string theory, we argue that (multi-field) scalar potentials with such solutions are disallowed, thus strengthening the case for TCC. In particular, the results imply a new set of complex and highly-nonlinear constraints across the entire string landscape which may make realizing inflation impossible.

12.057507

11.153974

11.654455

10.85944

12.050437

11.503588

12.135853

11.416031

11.732992

12.666389

10.961003

11.541758

11.612512

11.287189

11.652707

11.762834

11.341269

10.867744

11.472306

12.017629

11.606213

1803.04414

Sebastian Fischetti

Sebastian Fischetti, Lucas Wallis, and Toby Wiseman

What spatial geometry does the (2+1)-dimensional QFT vacuum prefer?

5+2 pages; v2: addressed referee comments, fixed table 1

Phys. Rev. Lett. 120, 261601 (2018)

10.1103/PhysRevLett.120.261601

null

hep-th cond-mat.mtrl-sci cond-mat.stat-mech

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

We consider relativistic (2+1)-QFTs on a product of time with a two-space and study the vacuum free energy as a functional of the temperature and spatial geometry. We focus on free scalar and Dirac fields on arbitrary perturbations of flat space, finding that the free energy difference from flat space is finite and always \textit{negative} to leading order in the perturbation. Thus free (2+1)-QFTs appear to always energetically favor a crumpled space on all scales; at zero temperature this is a purely quantum effect. Importantly, we show that this quantum effect is non-negligible for the relativistic Dirac degrees of freedom on monolayer graphene even at room temperature, so we argue that this vacuum energy effect should be included for a proper analysis of the equilibrium configuration of graphene or similar materials.

[ { "created": "Mon, 12 Mar 2018 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 29 May 2019 16:00:18 GMT", "version": "v2" } ]

2019-05-30

[ [ "Fischetti", "Sebastian", "" ], [ "Wallis", "Lucas", "" ], [ "Wiseman", "Toby", "" ] ]

We consider relativistic (2+1)-QFTs on a product of time with a two-space and study the vacuum free energy as a functional of the temperature and spatial geometry. We focus on free scalar and Dirac fields on arbitrary perturbations of flat space, finding that the free energy difference from flat space is finite and always \textit{negative} to leading order in the perturbation. Thus free (2+1)-QFTs appear to always energetically favor a crumpled space on all scales; at zero temperature this is a purely quantum effect. Importantly, we show that this quantum effect is non-negligible for the relativistic Dirac degrees of freedom on monolayer graphene even at room temperature, so we argue that this vacuum energy effect should be included for a proper analysis of the equilibrium configuration of graphene or similar materials.

10.475721

10.766281

11.440299

9.764983

10.498153

10.713543

11.349844

10.260502

9.821991

12.295581

10.192059

10.149061

10.293653

9.857986

10.007378

10.290072

10.167615

10.063772

9.979286

10.438058

10.081914

1012.2734

Yun-Song Piao

Adiabatic Spectra During Slowly Evolving

3 pages, 1 figure, arguments, discussions and Refs. added, to publish in PLB

null

10.1016/j.physletb.2011.06.047

null

hep-th astro-ph.CO gr-qc

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

In general, for single field, the scale invariant spectrum of curvature perturbation can be given by either its constant mode or its increasing mode. We show that during slowly expanding or contracting, the spectrum of curvature perturbation given by its increasing mode can be scale invariance. The perturbation mode can be naturally extended out of horizon, and the amplitude of perturbation is consistent with the observations. We briefly discuss the implement of this scenario.

[ { "created": "Mon, 13 Dec 2010 14:25:49 GMT", "version": "v1" }, { "created": "Thu, 23 Jun 2011 09:42:55 GMT", "version": "v2" } ]

2015-05-20

[ [ "Piao", "Yun-Song", "" ] ]

In general, for single field, the scale invariant spectrum of curvature perturbation can be given by either its constant mode or its increasing mode. We show that during slowly expanding or contracting, the spectrum of curvature perturbation given by its increasing mode can be scale invariance. The perturbation mode can be naturally extended out of horizon, and the amplitude of perturbation is consistent with the observations. We briefly discuss the implement of this scenario.

14.467729

11.31074

11.597947

10.319767

11.168256

11.555372

13.635525

11.664204

11.722918

11.779056

11.881137

12.832378

11.600256

11.591346

12.042171

12.06423

12.310142

11.546753

12.103111

11.80257

12.064418

2406.13461

Di Wu

Wentao Liu, Di Wu, Jieci Wang

Static neutral black holes in Kalb-Ramond gravity

22 pages, 2 figures, 1 table, JHEP3.cls

null

hep-th gr-qc

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

The Kalb-Ramond (KR) gravity theory, a modified gravity theory that nonminimally couples a KR field with a nonzero vacuum expectation value for the gravitational field, can spontaneously break the Lorentz symmetry of gravity. In a recent work, Yang et al. [Phys. Rev. D 108, 124004 (2023)] successfully derived Schwarzschild-like black hole solutions both with and without a nonzero cosmological constant within the framework of KR gravity. However, their analysis did not address the more general case of static, neutral, spherically symmetric black holes. In this paper, we fill this gap by resolving the field equations to construct more general static, neutral, spherically symmetric black hole solutions both with and without a nonzero cosmological constant. Our black hole solutions are shown to obey the first law and the Bekenstein-Smarr mass formulas of black hole thermodynamics. Moreover, we demonstrate that our static neutral spherically symmetric AdS black hole does not always satisfy the reverse isoperimetric inequality (RII), as the isoperimetric ratio can be larger or smaller than unity depending on the placement of the solution parameters within the parameter space. This behavior contrasts with the above-mentioned Schwarzschild-like AdS black hole in the KR gravity theory, which always obeys the RII. Significantly, the present more general static, neutral, spherically symmetric AdS black hole is the first example of a static AdS black hole that can violate the RII.

[ { "created": "Wed, 19 Jun 2024 11:38:05 GMT", "version": "v1" } ]

2024-06-21

[ [ "Liu", "Wentao", "" ], [ "Wu", "Di", "" ], [ "Wang", "Jieci", "" ] ]

The Kalb-Ramond (KR) gravity theory, a modified gravity theory that nonminimally couples a KR field with a nonzero vacuum expectation value for the gravitational field, can spontaneously break the Lorentz symmetry of gravity. In a recent work, Yang et al. [Phys. Rev. D 108, 124004 (2023)] successfully derived Schwarzschild-like black hole solutions both with and without a nonzero cosmological constant within the framework of KR gravity. However, their analysis did not address the more general case of static, neutral, spherically symmetric black holes. In this paper, we fill this gap by resolving the field equations to construct more general static, neutral, spherically symmetric black hole solutions both with and without a nonzero cosmological constant. Our black hole solutions are shown to obey the first law and the Bekenstein-Smarr mass formulas of black hole thermodynamics. Moreover, we demonstrate that our static neutral spherically symmetric AdS black hole does not always satisfy the reverse isoperimetric inequality (RII), as the isoperimetric ratio can be larger or smaller than unity depending on the placement of the solution parameters within the parameter space. This behavior contrasts with the above-mentioned Schwarzschild-like AdS black hole in the KR gravity theory, which always obeys the RII. Significantly, the present more general static, neutral, spherically symmetric AdS black hole is the first example of a static AdS black hole that can violate the RII.

5.434484

5.068494

4.790864

4.76716

5.052904

5.308894

5.162715

4.66719

5.038054

5.298899

4.943305

5.096721

4.901528

4.946494

4.948354

5.123371

5.075943

4.952261

5.100991

5.010314

5.078119

hep-th/9706023

Kimyeong Lee

Kimyeong Lee, Piljin Yi

A Family of N=2 Gauge Theories with Exact S-Duality

28 pages, Latex, a single figure, minor corrections in text and references

Nucl.Phys. B520 (1998) 157-178

10.1016/S0550-3213(98)00078-9

CU-TP-842

hep-th

null

We study an infinite family of N=2 $Sp(2n)$ gauge theories that naturally arise from the D3-brane probe dynamics in F-theory. The matter sector consists of four fundamental and one antisymmetric tensor hyper multiplets. We propose that, in the limit of vanishing bare masses, the theory has exact $SO(8)\sdtimes SL(2,Z)$ duality. We examine the semiclassical BPS spectrum in the Coulomb phase by quantizing various monopole moduli space dynamics, and show that it is indeed consistent with the exact S-duality.

[ { "created": "Tue, 3 Jun 1997 21:59:11 GMT", "version": "v1" }, { "created": "Thu, 5 Jun 1997 20:51:36 GMT", "version": "v2" } ]

2009-10-30

[ [ "Lee", "Kimyeong", "" ], [ "Yi", "Piljin", "" ] ]

We study an infinite family of N=2 $Sp(2n)$ gauge theories that naturally arise from the D3-brane probe dynamics in F-theory. The matter sector consists of four fundamental and one antisymmetric tensor hyper multiplets. We propose that, in the limit of vanishing bare masses, the theory has exact $SO(8)\sdtimes SL(2,Z)$ duality. We examine the semiclassical BPS spectrum in the Coulomb phase by quantizing various monopole moduli space dynamics, and show that it is indeed consistent with the exact S-duality.

9.958822

11.272608

12.165451

9.202552

8.375858

9.163822

9.207406

9.800373

8.858974

12.857045

8.951839

8.978057

9.793487

8.561988

9.154158

8.481303

8.878199

8.65799

9.124643

10.291471

8.788424

hep-th/9712061

Gleb E. Arutyunov

G.E.Arutyunov and S.A.Frolov

Four graviton scattering amplitude from $S^N\large{{\bf R}}^{8}$ supersymmetric orbifold sigma model

latex, 35 pages, misprints are corrected, the final version to appear in Nucl.Phys.B

Nucl.Phys. B524 (1998) 159-206

10.1016/S0550-3213(98)00326-5

null

hep-th

null

In the IR limit the Matrix string theory is expected to be described by the $S^N\R^{8}$ supersymmetric orbifold sigma model. Recently Dijkgraaf, Verlinde and Verlinde proposed a vertex that may describe the type IIA string interaction. In this paper using this interaction vertex we derive the four graviton scattering amplitude from the orbifold model in the large $N$ limit.

[ { "created": "Fri, 5 Dec 1997 17:31:56 GMT", "version": "v1" }, { "created": "Fri, 24 Apr 1998 10:00:57 GMT", "version": "v2" } ]

2009-10-30

[ [ "Arutyunov", "G. E.", "" ], [ "Frolov", "S. A.", "" ] ]

In the IR limit the Matrix string theory is expected to be described by the $S^N\R^{8}$ supersymmetric orbifold sigma model. Recently Dijkgraaf, Verlinde and Verlinde proposed a vertex that may describe the type IIA string interaction. In this paper using this interaction vertex we derive the four graviton scattering amplitude from the orbifold model in the large $N$ limit.

13.232224

7.832302

12.478431

8.516602

7.919345

8.322867

7.902877

8.188801

7.513182

13.670218

8.352747

8.614722

10.506176

9.023378

8.718456

8.880607

8.57693

8.365634

8.634144

10.837941

8.946466

1302.7136

Shahin Rouhani

Malte Henkel and Shahin Rouhani

Logarithmic correlators or responses in non-relativistic analogues of conformal invariance

29 pages, 3 figures

J. Phys. A: Math. Theor. 46, 494004 (2013)

10.1088/1751-8113/46/49/494004

null

hep-th cond-mat.stat-mech math-ph math.MP

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

Recent developments on emergence of logarithmic terms in correlators or response functions of models which exhibit dynamical symmetries analogous to conformal invariance in not necessarily relativistic systems are reviewed. The main examples of these are logarithmic Schr\"odinger-invariance and logarithmic conformal Galilean invariance. Some applications of these ideas to statistical physics are described.

[ { "created": "Thu, 28 Feb 2013 10:11:19 GMT", "version": "v1" } ]

2013-11-22

[ [ "Henkel", "Malte", "" ], [ "Rouhani", "Shahin", "" ] ]

Recent developments on emergence of logarithmic terms in correlators or response functions of models which exhibit dynamical symmetries analogous to conformal invariance in not necessarily relativistic systems are reviewed. The main examples of these are logarithmic Schr\"odinger-invariance and logarithmic conformal Galilean invariance. Some applications of these ideas to statistical physics are described.

10.551034

10.901979

12.311334

9.662151

10.84559

10.566884

9.285931

9.871425

9.200165

13.733411

9.125748

9.426478

9.841595

9.226152

9.038052

8.983912

8.83609

9.162715

9.206359

9.404782

8.808426

1107.0380

Davoud Kamani

Zahra Rezaei and Davoud Kamani

Moving Branes with Background Massless and Tachyon Fields in the Compact Spacetime

13 pages, Latex, no figure

Braz. J. Phys. 41, 177 (2011)

10.1007/s13538-011-0030-5

null

hep-th

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

In this article we shall obtain the boundary state associated with a moving $Dp$-brane in the presence of the Kalb-Ramond field $B_{\mu\nu}$, an internal U(1) gauge field $A_{\alpha}$ and a tachyon field, in the compact spacetime. According to this state, properties of the brane and a closed string, with mixed boundary conditions emitted from it, will be obtained. Using this boundary state we calculate the interaction amplitude of two moving $Dp_{1}$ and $Dp_{2}$-branes with above background fields in a partially compact spacetime. They are parallel or perpendicular to each other. Properties of the interaction amplitude will be analyzed and contribution of the massless states to the interaction will be extracted.

[ { "created": "Sat, 2 Jul 2011 13:34:13 GMT", "version": "v1" } ]

2020-08-21

[ [ "Rezaei", "Zahra", "" ], [ "Kamani", "Davoud", "" ] ]

In this article we shall obtain the boundary state associated with a moving $Dp$-brane in the presence of the Kalb-Ramond field $B_{\mu\nu}$, an internal U(1) gauge field $A_{\alpha}$ and a tachyon field, in the compact spacetime. According to this state, properties of the brane and a closed string, with mixed boundary conditions emitted from it, will be obtained. Using this boundary state we calculate the interaction amplitude of two moving $Dp_{1}$ and $Dp_{2}$-branes with above background fields in a partially compact spacetime. They are parallel or perpendicular to each other. Properties of the interaction amplitude will be analyzed and contribution of the massless states to the interaction will be extracted.

8.50532

5.466751

8.238474

5.972279

6.094232

5.736598

5.805763

6.226113

5.756828

9.12431

6.293169

6.995993

8.249269

7.434091

7.693147

7.273299

7.048509

7.203414

7.209633

8.144332

7.444838

hep-th/9505149

null

A. V. Ramallo and J. M. Sanchez de Santos

TOPOLOGICAL MATTER, MIRROR SYMMETRY AND NON-CRITICAL (SUPER)STRINGS

45 pages, phyzzx, no figures

Nucl.Phys. B456 (1995) 405-441

10.1016/0550-3213(95)00485-8

US-FT-5/95

hep-th

null

We study the realization of the (super) conformal topological symmetry in two-dimensional field theories. The mirror automorphism of the topological algebra is represented as a reflection in the space of fields. As a consequence, a double BRST structure for topological matter theories is found. It is shown that the implementation of the topological symmetry in non-critical (super)string theories depends on the matter content of the two realizations connected by the mirror transformation.

[ { "created": "Wed, 24 May 1995 05:37:39 GMT", "version": "v1" } ]

2009-10-28

[ [ "Ramallo", "A. V.", "" ], [ "de Santos", "J. M. Sanchez", "" ] ]

We study the realization of the (super) conformal topological symmetry in two-dimensional field theories. The mirror automorphism of the topological algebra is represented as a reflection in the space of fields. As a consequence, a double BRST structure for topological matter theories is found. It is shown that the implementation of the topological symmetry in non-critical (super)string theories depends on the matter content of the two realizations connected by the mirror transformation.

11.654899

10.093665

12.776879

9.143637

10.271319

9.310161

10.023883

9.684495

10.431209

12.560331

9.607467

10.883608

11.350225

10.835645

10.580156

10.886317

10.901577

10.632351

10.57829

11.906556

10.49079

hep-th/0212327

Lev Kofman

Andrei Frolov and Lev Kofman

Inflation and de Sitter Thermodynamics

19 pages, 5 figures

JCAP 0305 (2003) 009

10.1088/1475-7516/2003/05/009

CITA-2002-46

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

null

We consider the quasi-de Sitter geometry of the inflationary universe. We calculate the energy flux of the slowly rolling background scalar field through the quasi-de Sitter apparent horizon and set it equal to the change of the entropy (1/4 of the area) multiplied by the temperature, dE=TdS. Remarkably, this thermodynamic law reproduces the Friedmann equation for the rolling scalar field. The flux of the slowly rolling field through the horizon of the quasi-de Sitter geometry is similar to the accretion of a rolling scalar field onto a black hole, which we also analyze. Next we add inflaton fluctuations which generate scalar metric perturbations. Metric perturbations result in a variation of the area entropy. Again, the equation dE=TdS with fluctuations reproduces the linearized Einstein equations. In this picture as long as the Einstein equations hold, holography does not put limits on the quantum field theory during inflation. Due to the accumulating metric perturbations, the horizon area during inflation randomly wiggles with dispersion increasing with time. We discuss this in connection with the stochastic decsription of inflation. We also address the issue of the instability of inflaton fluctuations in the ``hot tin can'' picture of de Sitter horizon.

[ { "created": "Mon, 30 Dec 2002 20:14:01 GMT", "version": "v1" } ]

2009-11-07

[ [ "Frolov", "Andrei", "" ], [ "Kofman", "Lev", "" ] ]

We consider the quasi-de Sitter geometry of the inflationary universe. We calculate the energy flux of the slowly rolling background scalar field through the quasi-de Sitter apparent horizon and set it equal to the change of the entropy (1/4 of the area) multiplied by the temperature, dE=TdS. Remarkably, this thermodynamic law reproduces the Friedmann equation for the rolling scalar field. The flux of the slowly rolling field through the horizon of the quasi-de Sitter geometry is similar to the accretion of a rolling scalar field onto a black hole, which we also analyze. Next we add inflaton fluctuations which generate scalar metric perturbations. Metric perturbations result in a variation of the area entropy. Again, the equation dE=TdS with fluctuations reproduces the linearized Einstein equations. In this picture as long as the Einstein equations hold, holography does not put limits on the quantum field theory during inflation. Due to the accumulating metric perturbations, the horizon area during inflation randomly wiggles with dispersion increasing with time. We discuss this in connection with the stochastic decsription of inflation. We also address the issue of the instability of inflaton fluctuations in the ``hot tin can'' picture of de Sitter horizon.

11.343813

11.822839

11.954565

11.10151

12.197503

11.728331

11.902503

11.201968

11.155902

12.629639

11.086457

11.108335

11.327412

10.881737

11.138825

11.113688

11.330031

10.878993

10.839155

10.743813

10.793637

0902.3898

Ralf Hofmann

Josef Ludescher and Ralf Hofmann

CMB dipole revisited

9 pages, 5 figures

null

hep-th

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

We re-evaluate the build-up of a horizon-sized temperature profile of amplitude $\delta T/T \sim 10^{-3}$ at $z\sim 1$ in light of an improved determination of the black-body anomaly, based on a pure SU(2) Yang-Mills theory, and the correction of a mistake in deriving the evolution equation for $\delta T$. Our present results for the temperature profiles hardly are distinguishable from those published previously.

[ { "created": "Mon, 23 Feb 2009 12:03:18 GMT", "version": "v1" } ]

2009-02-24

[ [ "Ludescher", "Josef", "" ], [ "Hofmann", "Ralf", "" ] ]

We re-evaluate the build-up of a horizon-sized temperature profile of amplitude $\delta T/T \sim 10^{-3}$ at $z\sim 1$ in light of an improved determination of the black-body anomaly, based on a pure SU(2) Yang-Mills theory, and the correction of a mistake in deriving the evolution equation for $\delta T$. Our present results for the temperature profiles hardly are distinguishable from those published previously.

14.540292

15.749754

13.882835

11.750739

15.6495

15.106706

14.552198

12.600563

13.397955

14.424184

13.799181

13.568885

13.575231

13.40546

13.547423

14.19835

13.614937

13.963593

13.637359

13.547339

14.088912

1011.4264

J. M. Drummond

J.M.Drummond, L.Ferro, E.Ragoucy

Yangian symmetry of light-like Wilson loops

15 pages, 5 figures

JHEP 1111 (2011) 049

10.1007/JHEP11(2011)049

CERN-PH-TH/2010-275; HU-EP-10/81

hep-th

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

We show that a certain class of light-like Wilson loops exhibits a Yangian symmetry at one loop, or equivalently, in an Abelian theory. The Wilson loops we discuss are equivalent to one-loop MHV amplitudes in N=4 super Yang-Mills theory in a certain kinematical regime. The fact that we find a Yangian symmetry constraining their functional form can be thought of as the effect of the original conformal symmetry associated to the scattering amplitudes in the N=4 theory.

[ { "created": "Thu, 18 Nov 2010 19:44:21 GMT", "version": "v1" }, { "created": "Sat, 4 Dec 2010 16:41:10 GMT", "version": "v2" } ]

2015-05-20

[ [ "Drummond", "J. M.", "" ], [ "Ferro", "L.", "" ], [ "Ragoucy", "E.", "" ] ]

We show that a certain class of light-like Wilson loops exhibits a Yangian symmetry at one loop, or equivalently, in an Abelian theory. The Wilson loops we discuss are equivalent to one-loop MHV amplitudes in N=4 super Yang-Mills theory in a certain kinematical regime. The fact that we find a Yangian symmetry constraining their functional form can be thought of as the effect of the original conformal symmetry associated to the scattering amplitudes in the N=4 theory.

9.003791

8.281094

9.950676

8.267159

8.01911

8.666038

8.016844

7.626622

8.439308

10.664198

7.835309

8.23246

9.135727

8.171325

8.056986

8.030401

8.109032

8.045929

7.914359

9.205635

8.0806

1009.1854

David Skinner

Mathew Bullimore, Lionel Mason and David Skinner

MHV Diagrams in Momentum Twistor Space

36 pages, 13 figures

JHEP 1012:032,2010

10.1007/JHEP12(2010)032

null

hep-th

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

We show that there are remarkable simplifications when the MHV diagram formalism for N=4 super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity while each propagator becomes a dual superconformal `R-invariant' whose arguments may be read off from the diagram. The momentum twistor MHV rules generate a formula for the full, all-loop planar integrand of the super Yang-Mills S-matrix that is manifestly dual superconformally invariant up to the choice of a reference twistor. We give a general proof of this reformulation and illustrate its use by computing the momentum twistor NMHV and NNMHV tree amplitudes and the integrands of the MHV and NMHV 1-loop and the MHV 2-loop planar amplitudes.

[ { "created": "Thu, 9 Sep 2010 18:48:56 GMT", "version": "v1" } ]

2010-12-14

[ [ "Bullimore", "Mathew", "" ], [ "Mason", "Lionel", "" ], [ "Skinner", "David", "" ] ]

We show that there are remarkable simplifications when the MHV diagram formalism for N=4 super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity while each propagator becomes a dual superconformal `R-invariant' whose arguments may be read off from the diagram. The momentum twistor MHV rules generate a formula for the full, all-loop planar integrand of the super Yang-Mills S-matrix that is manifestly dual superconformally invariant up to the choice of a reference twistor. We give a general proof of this reformulation and illustrate its use by computing the momentum twistor NMHV and NNMHV tree amplitudes and the integrands of the MHV and NMHV 1-loop and the MHV 2-loop planar amplitudes.

7.510569

7.051304

8.484436

7.213472

6.776497

7.440806

7.481586

7.280751

6.769282

9.178937

6.966606

7.644218

7.999484

7.34597

7.315485

7.729448

7.661019

7.395711

7.342897

8.21101

7.242579

2206.03414

Jeevan Chandra Namburi

Jeevan Chandra and Thomas Hartman

Coarse graining pure states in AdS/CFT

46 pages + 4 appendices (correction to section 6.2.3 in v2)

null

hep-th

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

We construct new Euclidean wormhole solutions in AdS(d+1) and discuss their role in UV-complete theories, without ensemble averaging. The geometries are interpreted as overlaps of GHZ-like entangled states, which arise naturally from coarse graining the density matrix of a pure state in the dual CFT. In several examples, including thin-shell collapsing black holes and pure black holes with an end-of-the-world brane behind the horizon, the coarse-graining map is found explicitly in CFT terms, and used to define a coarse-grained entropy that is equal to one quarter the area of a time-symmetric apparent horizon. Wormholes are used to derive the coarse-graining map and to study statistical properties of the quantum state. This reproduces aspects of the West Coast model of 2D gravity and the large-c ensemble of 3D gravity, including a Page curve, in a higher-dimensional context with generic matter fields.

[ { "created": "Tue, 7 Jun 2022 16:04:17 GMT", "version": "v1" }, { "created": "Wed, 8 Jun 2022 06:32:56 GMT", "version": "v2" } ]

2022-06-09

[ [ "Chandra", "Jeevan", "" ], [ "Hartman", "Thomas", "" ] ]

We construct new Euclidean wormhole solutions in AdS(d+1) and discuss their role in UV-complete theories, without ensemble averaging. The geometries are interpreted as overlaps of GHZ-like entangled states, which arise naturally from coarse graining the density matrix of a pure state in the dual CFT. In several examples, including thin-shell collapsing black holes and pure black holes with an end-of-the-world brane behind the horizon, the coarse-graining map is found explicitly in CFT terms, and used to define a coarse-grained entropy that is equal to one quarter the area of a time-symmetric apparent horizon. Wormholes are used to derive the coarse-graining map and to study statistical properties of the quantum state. This reproduces aspects of the West Coast model of 2D gravity and the large-c ensemble of 3D gravity, including a Page curve, in a higher-dimensional context with generic matter fields.

14.143104

12.34258

15.155063

11.802773

13.301113

12.542275

12.894804

12.185893

12.11016

15.240685

12.614453

13.414922

14.153068

13.553359

13.22974

13.252682

12.523143

13.192295

12.875583

14.225075

13.250989

hep-th/9803052

Barvinski

A.O.Barvinsky and A.Yu.Kamenshchik

Effective equations of motion and initial conditions for inflation in quantum cosmology

23 pages, LaTeX

Nucl.Phys.B532:339-360,1998

10.1016/S0550-3213(98)00484-2

FIAN/TD/98-10

hep-th

null

We obtain effective equations of inflationary dynamics for the mean inflaton and metric fields in the no-boundary and tunneling quantum states of the Universe. In the slow roll approximation (taking the form of the local Schwiger-DeWitt expansion) effective equations follow from the Euclidean effective action on the DeSitter gravitational instanton. Effective equations are applied in the model of the inflaton scalar field coupled to the GUT sector of matter fields and also having a strong nonminimal coupling to the curvature. The inverse of its big negative nonminimal coupling constant, serves as a small parameter of the slow roll expansion and semiclassical expansion of quantum gravitational effects. As a source of initial conditions we use a sharp probability peak recently obtained in the one-loop approximation for the no-boundary and tunneling quantum states and belonging (in virtue of a strong nonminimal coupling) to the GUT energy scale much below the Planck scale. The obtained equations in the tunneling quantum state predict a finite duration of inflationary stage compatible with the observational status of inflation theory, whereas for the no-boundary state they lead to the infinite inflationary epoch with a constant inflaton field.

[ { "created": "Thu, 5 Mar 1998 23:10:48 GMT", "version": "v1" } ]

2011-07-19

[ [ "Barvinsky", "A. O.", "" ], [ "Kamenshchik", "A. Yu.", "" ] ]

We obtain effective equations of inflationary dynamics for the mean inflaton and metric fields in the no-boundary and tunneling quantum states of the Universe. In the slow roll approximation (taking the form of the local Schwiger-DeWitt expansion) effective equations follow from the Euclidean effective action on the DeSitter gravitational instanton. Effective equations are applied in the model of the inflaton scalar field coupled to the GUT sector of matter fields and also having a strong nonminimal coupling to the curvature. The inverse of its big negative nonminimal coupling constant, serves as a small parameter of the slow roll expansion and semiclassical expansion of quantum gravitational effects. As a source of initial conditions we use a sharp probability peak recently obtained in the one-loop approximation for the no-boundary and tunneling quantum states and belonging (in virtue of a strong nonminimal coupling) to the GUT energy scale much below the Planck scale. The obtained equations in the tunneling quantum state predict a finite duration of inflationary stage compatible with the observational status of inflation theory, whereas for the no-boundary state they lead to the infinite inflationary epoch with a constant inflaton field.

13.034

12.593502

12.131819

12.10053

13.090824

12.432675

12.987094

11.457191

12.863994

13.36201

12.211914

12.853036

12.158596

12.509406

12.969296

12.882107

12.598163

12.491402

12.744475

12.773157

12.789632

hep-th/9902122

Nobuyoshi Ohta

Kazuyuki Furuuchi, Nobuyoshi Ohta and Jian-Ge Zhou

Spacetime Superalgebra in AdS_4 \times S^7 via Supermembrane Probe

8 pages, Latex, minor corrections, final version to appear in Phys. Rev.D

Phys. Rev. D 60, 047901 (1999)

10.1103/PhysRevD.60.047901

OU-HET 313

hep-th

null

The spacetime superalgebra via the supermembrane probe in the background of AdS_4 \times S^7 is discussed to the lowest order in the spinor coordinate $\t$. To obtain the correct spacetime superalgebras, all $\t^2$ order corrections for supervielbein and super 3-form gauge potential have to be included. The central extension of the superalgebra OSp(8|4) of the super isometries for AdS_4 \times S^7 is found.

[ { "created": "Wed, 17 Feb 1999 07:15:38 GMT", "version": "v1" }, { "created": "Fri, 19 Feb 1999 04:55:10 GMT", "version": "v2" }, { "created": "Wed, 21 Apr 1999 06:24:19 GMT", "version": "v3" } ]

2016-08-25

[ [ "Furuuchi", "Kazuyuki", "" ], [ "Ohta", "Nobuyoshi", "" ], [ "Zhou", "Jian-Ge", "" ] ]

The spacetime superalgebra via the supermembrane probe in the background of AdS_4 \times S^7 is discussed to the lowest order in the spinor coordinate $\t$. To obtain the correct spacetime superalgebras, all $\t^2$ order corrections for supervielbein and super 3-form gauge potential have to be included. The central extension of the superalgebra OSp(8|4) of the super isometries for AdS_4 \times S^7 is found.

9.645527

8.031189

10.177496

7.819333

8.775694

8.664413

7.765467

8.6545

7.390976

9.711504

8.513006

8.214091

9.633009

8.299109

8.084959

8.270232

7.847309

8.167012

8.126251

9.829258

8.147572

1007.2820

Manuel Calixto

V. Aldaya, M. Calixto and F.F. L\'opez-Ruiz

Non-Canonical Perturbation Theory of Non-Linear Sigma Models

11 pages, 1 figure, LaTeX

Mod.Phys.Lett.A26:127-138,2011

10.1142/S0217732311034670

null

hep-th math-ph math.MP

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

We explore the O(N)-invariant Non-Linear Sigma Model (NLSM) in a different perturbative regime from the usual relativistic-free-field one, by using non-canonical basic commutation relations adapted to the underlying O(N) symmetry of the system, which also account for the non-trivial (non-flat) geometry and topology of the target manifold.

[ { "created": "Fri, 16 Jul 2010 17:33:11 GMT", "version": "v1" } ]

2011-01-20

[ [ "Aldaya", "V.", "" ], [ "Calixto", "M.", "" ], [ "López-Ruiz", "F. F.", "" ] ]

We explore the O(N)-invariant Non-Linear Sigma Model (NLSM) in a different perturbative regime from the usual relativistic-free-field one, by using non-canonical basic commutation relations adapted to the underlying O(N) symmetry of the system, which also account for the non-trivial (non-flat) geometry and topology of the target manifold.

13.537808

10.778194

12.342444

11.338455

12.511664

11.482607

12.309408

11.632125

10.967296

12.385979

11.271934

11.889964

11.929779

11.546518

11.901493

11.742763

12.19304

11.72199

11.463937

11.794002

12.157867

hep-th/9307045

Nobuyuki Ishibashi

Nobuyuki Ishibashi and Hikaru Kawai

String Field Theory of Noncritical Strings

13 pages ( LaTex file ), KEK-TH-364, UT-649

Phys.Lett. B314 (1993) 190-196

10.1016/0370-2693(93)90448-Q

null

hep-th

null

We construct the Hamiltonian operator of the string field theory for $c=0$ string theory. It describes how strings evolve in the coordinate frame, which is defined by using the geodesic distance on the worldsheet. The Hamiltonian consists of three-string interaction terms and a tadpole term. We show that one can derive the loop amplitudes of $c=0$ string theory from this Hamiltonian.

[ { "created": "Wed, 7 Jul 1993 06:13:47 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ishibashi", "Nobuyuki", "" ], [ "Kawai", "Hikaru", "" ] ]

We construct the Hamiltonian operator of the string field theory for $c=0$ string theory. It describes how strings evolve in the coordinate frame, which is defined by using the geodesic distance on the worldsheet. The Hamiltonian consists of three-string interaction terms and a tadpole term. We show that one can derive the loop amplitudes of $c=0$ string theory from this Hamiltonian.

8.969535

7.842818

8.463882

7.540655

7.559193

6.989839

8.06406

7.520738

8.101263

9.236277

7.412734

7.521372

7.907729

7.75835

7.769362

8.110671

7.64132

7.928005

8.018037

7.842027

7.714454

hep-th/0309257

J. M. Maillard

D. Altschuler, A. Coste, J-M. Maillard

Representation Theory of Twisted Group Double

15 pages, no figure

Annales Fond.Broglie 29 (2004) 681-694

null

hep-th

null

This text collects useful results concerning the quasi-Hopf algebra $\D $. We give a review of issues related to its use in conformal theories and physical mathematics. Existence of such algebras based on 3-cocycles with values in $ {R} / {Z} $ which mimic for finite groups Chern-Simons terms of gauge theories, open wide perspectives in the so called "classification program". The modularisation theorem proved for quasi-Hopf algebras by two authors some years ago makes the computation of topological invariants possible. An updated, although partial, bibliography of recent developments is provided.

[ { "created": "Mon, 29 Sep 2003 12:43:46 GMT", "version": "v1" }, { "created": "Thu, 2 Oct 2003 14:30:04 GMT", "version": "v2" } ]

2007-05-23

[ [ "Altschuler", "D.", "" ], [ "Coste", "A.", "" ], [ "Maillard", "J-M.", "" ] ]

This text collects useful results concerning the quasi-Hopf algebra $\D $. We give a review of issues related to its use in conformal theories and physical mathematics. Existence of such algebras based on 3-cocycles with values in $ {R} / {Z} $ which mimic for finite groups Chern-Simons terms of gauge theories, open wide perspectives in the so called "classification program". The modularisation theorem proved for quasi-Hopf algebras by two authors some years ago makes the computation of topological invariants possible. An updated, although partial, bibliography of recent developments is provided.

25.594038

28.663162

27.360435

24.854212

26.55739

28.786402

27.162626

26.611952

24.781599

32.22464

22.938

23.990183

26.650137

24.004854

25.928179

25.166061

24.457521

23.856516

23.410423

26.046936

23.771856

hep-th/9209082

null

Alexander Turbiner

Lie-algebraic approach to the theory of polynomial solutions. III. Differential equations in two real variables and general outlook

28pp

null

ETH-TH/92-34

hep-th alg-geom funct-an math.AG math.FA

null

Classification theorems for linear differential equations in two real variables, possessing eigenfunctions in the form of the polynomials (the generalized Bochner problem) are given. The main result is based on the consideration of the eigenvalue problem for a polynomial elements of the universal enveloping algebras of the algebras $sl_3({\bf R})$, $sl_2({\bf R})\oplus sl_2({\bf R})$ and $gl_2 ({\bf R})\ \triangleright\!\!\!< {\bf R}^{r+1}\ , r>0$ taken in the "projectivized" representations (in differential operators of the first order in two real variables) possessing an invariant subspace. General insight to the problem of a description of linear differential operators possessing an invariant sub-space with a basis in polynomials is presented. Connection to the recently-discovered quasi-exactly-solvable problems is discussed.

[ { "created": "Tue, 22 Sep 1992 14:56:53 GMT", "version": "v1" } ]

2016-09-06

[ [ "Turbiner", "Alexander", "" ] ]

Classification theorems for linear differential equations in two real variables, possessing eigenfunctions in the form of the polynomials (the generalized Bochner problem) are given. The main result is based on the consideration of the eigenvalue problem for a polynomial elements of the universal enveloping algebras of the algebras $sl_3({\bf R})$, $sl_2({\bf R})\oplus sl_2({\bf R})$ and $gl_2 ({\bf R})\ \triangleright\!\!\!< {\bf R}^{r+1}\ , r>0$ taken in the "projectivized" representations (in differential operators of the first order in two real variables) possessing an invariant subspace. General insight to the problem of a description of linear differential operators possessing an invariant sub-space with a basis in polynomials is presented. Connection to the recently-discovered quasi-exactly-solvable problems is discussed.

9.970502

9.899567

11.180159

9.244498

9.575527

10.592194

10.437588

9.611451

10.529302

11.781195

9.475255

9.421709

9.340297

9.315096

9.635736

9.646097

9.619165

9.440831

9.671677

9.443373

9.845314

1003.5361

Larus Thorlacius

E.J. Brynjolfsson, U.H. Danielsson, L. Thorlacius, T. Zingg

Black Hole Thermodynamics and Heavy Fermion Metals

17 pages, 4 figures; v2: added references; v3: matches published version

JHEP 1008:027,2010

10.1007/JHEP08(2010)027

NORDITA-2010-15, UUITP-09/10

hep-th cond-mat.str-el

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

Heavy fermion alloys at critical doping typically exhibit non-Fermi-liquid behavior at low temperatures, including a logarithmic or power law rise in the ratio of specific heat to temperature as the temperature is lowered. Anomalous specific heat of this type is also observed in a simple class of gravitational dual models that exhibit anisotropic scaling with dynamical critical exponent z > 1.

[ { "created": "Sun, 28 Mar 2010 11:46:31 GMT", "version": "v1" }, { "created": "Tue, 20 Apr 2010 20:13:20 GMT", "version": "v2" }, { "created": "Tue, 10 Aug 2010 07:13:33 GMT", "version": "v3" } ]

2015-03-13

[ [ "Brynjolfsson", "E. J.", "" ], [ "Danielsson", "U. H.", "" ], [ "Thorlacius", "L.", "" ], [ "Zingg", "T.", "" ] ]

Heavy fermion alloys at critical doping typically exhibit non-Fermi-liquid behavior at low temperatures, including a logarithmic or power law rise in the ratio of specific heat to temperature as the temperature is lowered. Anomalous specific heat of this type is also observed in a simple class of gravitational dual models that exhibit anisotropic scaling with dynamical critical exponent z > 1.

9.972853

7.857106

11.434761

8.301423

8.804749

8.090041

8.297363

8.245065

9.35646

9.573356

8.323304

8.310742

10.367825

8.772573

8.586573

8.509441

8.348201

8.435592

9.072405

10.808228

8.783267

1112.3979

Simon Gentle A

Simon A. Gentle, Mukund Rangamani, Benjamin Withers

A soliton menagerie in AdS

62 pages, 21 figures. v2: added refs and comments and updated appendices

null

10.1007/JHEP05(2012)106

DCPT-11/55

hep-th gr-qc

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

We explore the behaviour of charged scalar solitons in asymptotically global AdS4 spacetimes. This is motivated in part by attempting to identify under what circumstances such objects can become large relative to the AdS length scale. We demonstrate that such solitons generically do get large and in fact in the planar limit smoothly connect up with the zero temperature limit of planar scalar hair black holes. In particular, for given Lagrangian parameters we encounter multiple branches of solitons: some which are perturbatively connected to the AdS vacuum and surprisingly, some which are not. We explore the phase space of solutions by tuning the charge of the scalar field and changing scalar boundary conditions at AdS asymptopia, finding intriguing critical behaviour as a function of these parameters. We demonstrate these features not only for phenomenologically motivated gravitational Abelian-Higgs models, but also for models that can be consistently embedded into eleven dimensional supergravity.

[ { "created": "Fri, 16 Dec 2011 21:44:53 GMT", "version": "v1" }, { "created": "Fri, 13 Jan 2012 16:30:28 GMT", "version": "v2" } ]

2015-06-03

[ [ "Gentle", "Simon A.", "" ], [ "Rangamani", "Mukund", "" ], [ "Withers", "Benjamin", "" ] ]

We explore the behaviour of charged scalar solitons in asymptotically global AdS4 spacetimes. This is motivated in part by attempting to identify under what circumstances such objects can become large relative to the AdS length scale. We demonstrate that such solitons generically do get large and in fact in the planar limit smoothly connect up with the zero temperature limit of planar scalar hair black holes. In particular, for given Lagrangian parameters we encounter multiple branches of solitons: some which are perturbatively connected to the AdS vacuum and surprisingly, some which are not. We explore the phase space of solutions by tuning the charge of the scalar field and changing scalar boundary conditions at AdS asymptopia, finding intriguing critical behaviour as a function of these parameters. We demonstrate these features not only for phenomenologically motivated gravitational Abelian-Higgs models, but also for models that can be consistently embedded into eleven dimensional supergravity.

11.493198

11.472028

13.176914

10.871499

11.818442

12.010775

11.830133

12.264462

12.459923

11.950006

11.208111

11.14445

11.542522

11.120893

11.112897

11.344755

11.046085

11.050201

11.035344

11.169933

11.078242

2009.03806

Euclides Silva

J. E. G. Silva

A field theory in Randers-Finsler spacetime

12 pages. arXiv admin note: substantial text overlap with arXiv:1602.07345

EPL 133 21002 (2021)

10.1209/0295-5075/133/21002

null

hep-th gr-qc

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

Finsler geometry is a natural arena to investigate the physics of spacetimes with local Lorentz violating. The directional dependence of the Finsler metric provides a way to encode the Lorentz violating effects into the geometric structure of spacetime. Here, a classical field theory is proposed in a special Finsler geometry, the so-called Randers-Finsler spacetime, where the Lorentz violation is produced by a background vector field. By promoting the Randers-Finsler metric to a differential operator, a Finsler-invariant action for the scalar, gauge and fermions are proposed. The theory contains nonlocal terms, as in the Very Special Relativity based theories. By expanding the Lagrangian, minimal and nonminimal Standard Model Extension terms arises, revealing a perturbative Lorentz violation. For a CPT-even term, the Carrol-Field-Jackiw and derivative extensions are obtained.

[ { "created": "Fri, 4 Sep 2020 20:32:29 GMT", "version": "v1" } ]

2021-04-29

[ [ "Silva", "J. E. G.", "" ] ]

Finsler geometry is a natural arena to investigate the physics of spacetimes with local Lorentz violating. The directional dependence of the Finsler metric provides a way to encode the Lorentz violating effects into the geometric structure of spacetime. Here, a classical field theory is proposed in a special Finsler geometry, the so-called Randers-Finsler spacetime, where the Lorentz violation is produced by a background vector field. By promoting the Randers-Finsler metric to a differential operator, a Finsler-invariant action for the scalar, gauge and fermions are proposed. The theory contains nonlocal terms, as in the Very Special Relativity based theories. By expanding the Lagrangian, minimal and nonminimal Standard Model Extension terms arises, revealing a perturbative Lorentz violation. For a CPT-even term, the Carrol-Field-Jackiw and derivative extensions are obtained.

9.206576

8.260137

8.231216

7.705514

8.179285

8.70791

8.533239

7.850825

8.213931

8.786633

7.821325

7.990383

8.21524

8.12264

8.124521

8.14149

8.19602

8.102327

8.105911

8.053149

7.922905

hep-th/9803162

Reza Abbaspur

R. Abbaspur, H. Arfaei

Distributed Systems of Intersecting Branes at Arbitrary Angles

Latex file, 58 pages, no figures, 5 tables, This revision contains some minor changes of the original version including those of the title, abstract and referrences. Some comments are added

Nucl.Phys. B541 (1999) 386-440

10.1016/S0550-3213(98)00746-9

IPM-98-284

hep-th

null

A `reduced' action formulation for a general class of the supergravity solutions, corresponding to the `marginally' bound `distributed' systems of various types of branes at arbitrary angles, is developed. It turns out that all the information regarding the classical features of such solutions is encoded in a first order Lagrangian (the `reduced' Lagrangian) corresponding to the desired geometry of branes. The marginal solution for a system of $N$ such distributions (for various distribution functions) span an $N$ dimensional submanifold of the fields' configuration (target) space, parametrised by a set of $N$ independent harmonic functions on the transverse space. This submanifold, which we call it as the `$H$-surface', is a null surface with respect to a metric on the configuration space, which is defined by the reduced Lagrangian. The equations of motion then transform to a set of equations describing the embedding of a null geodesic surface in this space, which is identified as the $H$-surface. Using these facts, we present a very simple derivation of the conventional orthogonal solutions together with their intersection rules. Then a new solution for a (distributed) pair of $p$-branes at SU(2) angles in $D$ dimensions is derived.

[ { "created": "Thu, 19 Mar 1998 18:24:30 GMT", "version": "v1" }, { "created": "Mon, 29 Jun 1998 13:17:03 GMT", "version": "v2" } ]

2009-10-31

[ [ "Abbaspur", "R.", "" ], [ "Arfaei", "H.", "" ] ]

A `reduced' action formulation for a general class of the supergravity solutions, corresponding to the `marginally' bound `distributed' systems of various types of branes at arbitrary angles, is developed. It turns out that all the information regarding the classical features of such solutions is encoded in a first order Lagrangian (the `reduced' Lagrangian) corresponding to the desired geometry of branes. The marginal solution for a system of $N$ such distributions (for various distribution functions) span an $N$ dimensional submanifold of the fields' configuration (target) space, parametrised by a set of $N$ independent harmonic functions on the transverse space. This submanifold, which we call it as the `$H$-surface', is a null surface with respect to a metric on the configuration space, which is defined by the reduced Lagrangian. The equations of motion then transform to a set of equations describing the embedding of a null geodesic surface in this space, which is identified as the $H$-surface. Using these facts, we present a very simple derivation of the conventional orthogonal solutions together with their intersection rules. Then a new solution for a (distributed) pair of $p$-branes at SU(2) angles in $D$ dimensions is derived.

9.993555

9.820265

10.624703

9.510833

9.95201

9.820096

10.102833

9.735437

9.91898

10.764515

9.743416

9.641282

9.772632

9.405929

9.383393

9.161313

9.576757

9.515634

9.524584

9.735261

9.534333

hep-th/9704005

Seungjoon Hyun

S. Hyun

U-duality between Three and Higher Dimensional Black Holes

9 pages, TeX, harvmac(b)

J.KoreanPhys.Soc.33:S532-S536,1998

null

hep-th

null

We show that the D-brane configurations for the five and four-dimensional black holes give the geometry of two and three-dimensional ones as well. The emergence of these lower dimensional black holes from the D-brane configurations for those of higher dimensions comes from the choice of the integration constant of harmonic functions, which decides the asymptotic behavior of the metric and other fields. We show that they are equivalent, which are connected by U-dual transformations. This means that stringy black holes in various dimensions are effectively in the same universality class and many properties of black holes in the same class can be infered from the study of those of the three-dimensional black holes.

[ { "created": "Tue, 1 Apr 1997 16:29:09 GMT", "version": "v1" } ]

2008-11-26

[ [ "Hyun", "S.", "" ] ]

We show that the D-brane configurations for the five and four-dimensional black holes give the geometry of two and three-dimensional ones as well. The emergence of these lower dimensional black holes from the D-brane configurations for those of higher dimensions comes from the choice of the integration constant of harmonic functions, which decides the asymptotic behavior of the metric and other fields. We show that they are equivalent, which are connected by U-dual transformations. This means that stringy black holes in various dimensions are effectively in the same universality class and many properties of black holes in the same class can be infered from the study of those of the three-dimensional black holes.

10.704877

10.158887

10.363982

9.576112

10.474827

10.306314

10.235723

9.164726

9.746699

11.075047

10.056792

9.917273

10.316724

10.146853

10.050097

10.17416

10.519904

10.103654

10.066847

10.183005

9.877008

1811.01717

Patricio Salgado

G. Rubio and P. Salgado

Modified newtonian dynamics and non-relativistic ChSAS gravity

null

Physics Letter B 787 (2018) 30

10.1016/j.physletb.2018.10.028

null

hep-th

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

In the context of the non-relativistic theories, a generalization of the Chern--Weil-theorem allows us to show that extended Chern--Simons actions for gravity in d=4 invariant under some specific non-relativistic groups lead to modified Poisson equations. In some particular cases, these modified equations have the form of the so-called MOND approach to gravity. The modifications could be understood as due to the effects of dark matter. This result could leads us to think that dark matter can be interpreted as a non-relativistic limit of dark energy.

[ { "created": "Mon, 5 Nov 2018 14:25:08 GMT", "version": "v1" } ]

2018-11-06

[ [ "Rubio", "G.", "" ], [ "Salgado", "P.", "" ] ]

In the context of the non-relativistic theories, a generalization of the Chern--Weil-theorem allows us to show that extended Chern--Simons actions for gravity in d=4 invariant under some specific non-relativistic groups lead to modified Poisson equations. In some particular cases, these modified equations have the form of the so-called MOND approach to gravity. The modifications could be understood as due to the effects of dark matter. This result could leads us to think that dark matter can be interpreted as a non-relativistic limit of dark energy.

12.614555

12.354124

11.545803

11.27149

12.415951

12.541749

10.964976

11.422827

11.641816

12.013498

11.866305

11.656302

12.111918

11.598746

12.271422

11.855116

11.18957

11.425684

11.828588

12.263464

11.408171

hep-th/9405099

Masako Asano

Masako Asano and Saburo Higuchi

On three-dimensional topological field theories constructed from $D^\omega(G)$ for finite group

13 pages, 3 PS figures included

Mod.Phys.Lett.A9:2359-2370,1994

10.1142/S0217732394002239

TIT/HEP-255

hep-th hep-lat math.QA

null

We investigate the 3d lattice topological field theories defined by Chung, Fukuma and Shapere. We concentrate on the model defined by taking a deformation $\D{G}$ of the quantum double of a finite commutative group $G$ as the underlying Hopf algebra. It is suggested that Chung-Fukuma-Shapere partition function is related to that of Dijkgraaf-Witten by $\zcfs = |\zdw|^2$ when $G=\Z_{2N+1}$. For $G=\Z_{2N}$, such a relation does not hold.

[ { "created": "Mon, 16 May 1994 12:31:46 GMT", "version": "v1" } ]

2010-11-01

[ [ "Asano", "Masako", "" ], [ "Higuchi", "Saburo", "" ] ]

We investigate the 3d lattice topological field theories defined by Chung, Fukuma and Shapere. We concentrate on the model defined by taking a deformation $\D{G}$ of the quantum double of a finite commutative group $G$ as the underlying Hopf algebra. It is suggested that Chung-Fukuma-Shapere partition function is related to that of Dijkgraaf-Witten by $\zcfs = |\zdw|^2$ when $G=\Z_{2N+1}$. For $G=\Z_{2N}$, such a relation does not hold.

10.555098

9.379618

13.402475

9.569694

10.554987

9.922479

10.165763

10.093692

10.495987

11.886044

8.920098

9.78171

10.722073

10.465853

9.828733

9.891195

10.030347

10.035718

9.840243

10.342388

9.480657

0807.1107

Meng-Chwan Tan

Five-Branes in M-Theory and a Two-Dimensional Geometric Langlands Duality

43 pages. Technical refinement of section 4.3. Minor correction of sections 5.2 and 5.3: level 2k changed to k

Adv.Theor.Math.Phys.14:179-224,2010

null

hep-th math.AG math.RT

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

A recent attempt to extend the geometric Langlands duality to affine Kac-Moody groups, has led Braverman and Finkelberg [arXiv:0711.2083] to conjecture a mathematical relation between the intersection cohomology of the moduli space of G-bundles on certain singular complex surfaces, and the integrable representations of the Langlands dual of an associated affine G-algebra, where G is any simply-connected semisimple group. For the A-type groups, where the conjecture has been mathematically verified to a large extent, we show that the relation has a natural physical interpretation in terms of six-dimensional compactifications of M-theory with coincident five-branes wrapping certain hyperkahler four-manifolds; in particular, it can be understood as an expected invariance in the resulting spacetime BPS spectrum under string dualities. By replacing the singular complex surface with a smooth multi-Taub-NUT manifold, we find agreement with a closely related result demonstrated earlier via purely field-theoretic considerations by Witten. By adding OM five-planes to the original analysis, we argue that an analogous relation involving the non-simply-connected D-type groups, ought to hold as well. This is the first example of a string-theoretic interpretation of such a two-dimensional extension to complex surfaces of the geometric Langlands duality for the A-D groups.

[ { "created": "Tue, 8 Jul 2008 16:22:57 GMT", "version": "v1" }, { "created": "Wed, 16 Jul 2008 03:31:23 GMT", "version": "v2" }, { "created": "Sat, 2 Aug 2008 06:02:27 GMT", "version": "v3" }, { "created": "Sat, 4 Jul 2009 16:45:04 GMT", "version": "v4" }, { "created": "Thu, 2 Sep 2010 14:35:39 GMT", "version": "v5" }, { "created": "Thu, 3 Jan 2013 05:13:31 GMT", "version": "v6" } ]

2013-01-04

[ [ "Tan", "Meng-Chwan", "" ] ]

A recent attempt to extend the geometric Langlands duality to affine Kac-Moody groups, has led Braverman and Finkelberg [arXiv:0711.2083] to conjecture a mathematical relation between the intersection cohomology of the moduli space of G-bundles on certain singular complex surfaces, and the integrable representations of the Langlands dual of an associated affine G-algebra, where G is any simply-connected semisimple group. For the A-type groups, where the conjecture has been mathematically verified to a large extent, we show that the relation has a natural physical interpretation in terms of six-dimensional compactifications of M-theory with coincident five-branes wrapping certain hyperkahler four-manifolds; in particular, it can be understood as an expected invariance in the resulting spacetime BPS spectrum under string dualities. By replacing the singular complex surface with a smooth multi-Taub-NUT manifold, we find agreement with a closely related result demonstrated earlier via purely field-theoretic considerations by Witten. By adding OM five-planes to the original analysis, we argue that an analogous relation involving the non-simply-connected D-type groups, ought to hold as well. This is the first example of a string-theoretic interpretation of such a two-dimensional extension to complex surfaces of the geometric Langlands duality for the A-D groups.

8.736993

10.009551

10.412374

8.671608

9.828229

9.276436

9.104498

8.896626

8.41067

11.544523

8.6841

8.718683

8.953274

8.452315

8.880269

8.83893

8.669347

8.742829

8.534964

9.343515

8.198633

2303.10534

Kanade Nishikawa

Conformal bootstrap in momentum space at finite volume

83 pages, 14 figures

null

10.1007/JHEP06(2023)152

null

hep-th

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

In this paper, we Fourier transform the Wightman function concerning energy and angular momentum on the $S^{D-1}$ spatial slice in radial quantization in $D=2,3$ dimensions. In each case, we use the conformal Ward Identities to solve systematically for the Fourier components. We then use these Fourier components to build conformal blocks for the four-point function in momentum space, giving a finite-volume version of the momentum-space conformal blocks. We check that this construction is consistent with the known result in infinite volume. Our construction may help to find bootstrap equations that can give nontrivial constraints that do not appear in analysis in infinite volume. We show some examples of bootstrap equations and their nontriviality.

[ { "created": "Sun, 19 Mar 2023 02:25:57 GMT", "version": "v1" }, { "created": "Wed, 29 Mar 2023 11:59:24 GMT", "version": "v2" }, { "created": "Tue, 13 Jun 2023 13:35:25 GMT", "version": "v3" } ]

2023-06-28

[ [ "Nishikawa", "Kanade", "" ] ]

In this paper, we Fourier transform the Wightman function concerning energy and angular momentum on the $S^{D-1}$ spatial slice in radial quantization in $D=2,3$ dimensions. In each case, we use the conformal Ward Identities to solve systematically for the Fourier components. We then use these Fourier components to build conformal blocks for the four-point function in momentum space, giving a finite-volume version of the momentum-space conformal blocks. We check that this construction is consistent with the known result in infinite volume. Our construction may help to find bootstrap equations that can give nontrivial constraints that do not appear in analysis in infinite volume. We show some examples of bootstrap equations and their nontriviality.

12.457082

12.555984

11.431286

11.127717

12.451004

12.187964

13.094586

12.537569

11.612997

12.210855

12.084944

11.088428

11.03364

10.900592

11.400035

11.388989

11.372505

11.466397

11.242665

11.108315

11.326515

hep-th/9505095

null

R. Amorim and J. Barcelos-Neto

BV QUANTIZATION OF A VECTOR-TENSOR GAUGE THEORY WITH TOPOLOGICAL COUPLING

10 pages, Latex

Mod.Phys.Lett. A10 (1995) 917-924

10.1142/S0217732395001009

null

hep-th

null

We use the BV quantization method for a theory with coupled tensor and vector gauge fields through a topological term. We consider in details the reducibility of the tensorial sector as well as the appearance of a mass term in the effective vectorial theory .

[ { "created": "Tue, 16 May 1995 15:23:41 GMT", "version": "v1" } ]

2015-06-26

[ [ "Amorim", "R.", "" ], [ "Barcelos-Neto", "J.", "" ] ]

We use the BV quantization method for a theory with coupled tensor and vector gauge fields through a topological term. We consider in details the reducibility of the tensorial sector as well as the appearance of a mass term in the effective vectorial theory .

20.10265

15.69464

18.914358

17.071163

15.677979

17.458078

13.287997

16.049707

16.554859

19.000765

13.959738

16.943125

19.224543

18.513601

17.517187

18.284828

18.484224

18.046366

18.559643

18.130867

17.377657

hep-th/9903207

Alastair Paulin-Campbell

Robert de Mello Koch, Alastair Paulin-Campbell and Joao P. Rodrigues

Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe

26 pages, harvmac, some equations corrected in section 3. No conclusions changed, references added. Apologies to those not previously referenced, final version to appear in Nucl. Phys. B

Nucl.Phys. B559 (1999) 143-164

10.1016/S0550-3213(99)00422-8

CNLS-99-03, BROWN-HET-1177

hep-th

null

The BPS states of N=2 super Yang-Mills theory with gauge group SU(2) are constructed as non-trivial finite-energy solutions of the worldvolume theory of a threebrane probe in F theory. The solutions preserve 1/2 of N=2 supersymmetry and provide a worldvolume realization of strings stretching from the probe to a sevenbrane. The positions of the sevenbranes correspond to singularities in the field theory moduli space and to curvature singularities in the supergravity background. We explicitly show how the UV cut off of the effective field theory is mapped into an IR cut off in the supergravity. Finally, we discuss some features of the moduli spaces of these solutions.

[ { "created": "Wed, 24 Mar 1999 15:10:28 GMT", "version": "v1" }, { "created": "Thu, 1 Apr 1999 19:13:58 GMT", "version": "v2" }, { "created": "Wed, 18 Aug 1999 06:04:42 GMT", "version": "v3" }, { "created": "Wed, 25 Aug 1999 10:20:31 GMT", "version": "v4" } ]

2009-10-31

[ [ "Koch", "Robert de Mello", "" ], [ "Paulin-Campbell", "Alastair", "" ], [ "Rodrigues", "Joao P.", "" ] ]

The BPS states of N=2 super Yang-Mills theory with gauge group SU(2) are constructed as non-trivial finite-energy solutions of the worldvolume theory of a threebrane probe in F theory. The solutions preserve 1/2 of N=2 supersymmetry and provide a worldvolume realization of strings stretching from the probe to a sevenbrane. The positions of the sevenbranes correspond to singularities in the field theory moduli space and to curvature singularities in the supergravity background. We explicitly show how the UV cut off of the effective field theory is mapped into an IR cut off in the supergravity. Finally, we discuss some features of the moduli spaces of these solutions.

7.929406

7.135415

8.918153

6.968235

7.398868

7.265228

7.24764

6.458461

6.406979

9.571446

6.746039

6.687219

7.963677

7.075031

6.804448

6.843218

6.743191

6.92987

7.181267

8.189716

7.024035

hep-th/0002133

Yungui Gong

Ramond-Ramond Field Transformation

8 pages, no figures. correct some minor mistakes, add one section of examples, add one reference

null

UTEXAS-HEP-00-1

hep-th

null

We find that the mixture of Ramond-Ramond fields and Neveu-Schwarz two form are transformed as Majorana spinors under the T-duality group $O(d,d)$. The Ramond-Ramond field transformation under the group $O(d,d)$ is realized in a simple form by using the spinor representation. The Ramond-Ramond field transformation rule obtained by Bergshoeff et al. is shown as a specific simple example. We also give some explicit examples of the spinor representation.

[ { "created": "Wed, 16 Feb 2000 20:48:30 GMT", "version": "v1" }, { "created": "Wed, 8 Mar 2000 23:18:37 GMT", "version": "v2" } ]

2007-05-23

[ [ "Gong", "Yungui", "" ] ]

We find that the mixture of Ramond-Ramond fields and Neveu-Schwarz two form are transformed as Majorana spinors under the T-duality group $O(d,d)$. The Ramond-Ramond field transformation under the group $O(d,d)$ is realized in a simple form by using the spinor representation. The Ramond-Ramond field transformation rule obtained by Bergshoeff et al. is shown as a specific simple example. We also give some explicit examples of the spinor representation.

8.139917

7.321177

8.382481

6.936194

7.284678

7.62308

7.30694

7.195223

6.839942

7.584533

6.909429

7.410594

7.392335

6.95691

7.101705

7.184927

7.106323

7.248389

6.8701

7.516108

7.242093

1212.6876

Ahmad Ghodsi

Ahmad Ghodsi and Davood Mahdavian Yekta

Stability of vacua in New Massive Gravity in different gauges

30 pages, 10 figures. v3: Improved version. To appear in JHEP

null

10.1007/JHEP08(2013)095

null

hep-th gr-qc

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

We consider AdS3 and warped AdS3 vacua in new massive gravity and study the highest weight modes and general propagating modes as a set of solutions for the linearized equations of motion. We observed that depending on the choice of gauge there are two types of solutions. We show that for warped AdS3 vacuum, the massless modes which appear only in the harmonic gauge have zero energy density and do not get higher curvature corrections. By computing the energy density it can be shown that all massive modes have negative energy density. Our computations prove that the massive modes in warped AdS3 cannot be excluded by an appropriate boundary condition and this makes the theory unstable.

[ { "created": "Mon, 31 Dec 2012 12:23:56 GMT", "version": "v1" }, { "created": "Fri, 1 Mar 2013 10:52:08 GMT", "version": "v2" }, { "created": "Mon, 22 Jul 2013 05:42:58 GMT", "version": "v3" } ]

2013-08-20

[ [ "Ghodsi", "Ahmad", "" ], [ "Yekta", "Davood Mahdavian", "" ] ]

We consider AdS3 and warped AdS3 vacua in new massive gravity and study the highest weight modes and general propagating modes as a set of solutions for the linearized equations of motion. We observed that depending on the choice of gauge there are two types of solutions. We show that for warped AdS3 vacuum, the massless modes which appear only in the harmonic gauge have zero energy density and do not get higher curvature corrections. By computing the energy density it can be shown that all massive modes have negative energy density. Our computations prove that the massive modes in warped AdS3 cannot be excluded by an appropriate boundary condition and this makes the theory unstable.

13.100729

11.441527

13.324458

11.835009

11.996342

12.818819

11.919474

11.973028

11.322193

13.598266

11.337854

11.792737

12.910339

12.433851

11.749206

11.495134

11.712082

11.908887

12.271544

12.399901

11.911184

1304.6944

Luigi Delle Rose

Claudio Coriano, Luigi Delle Rose, Emil Mottola and Mirko Serino

Solving the Conformal Constraints for Scalar Operators in Momentum Space and the Evaluation of Feynman's Master Integrals

28 pages, extended final version, to appear on JHEP

null

10.1007/JHEP07(2013)011

null

hep-th hep-ph

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

We investigate the structure of the constraints on three-point correlation functions emerging when conformal invariance is imposed in momentum space and in arbitrary space-time dimensions, presenting a derivation of their solutions for arbitrary scalar operators. We show that the differential equations generated by the requirement of symmetry under special conformal transformations coincide with those satisfied by generalized hypergeometric functions (Appell's functions). Combined with the position space expression of this correlator, whose Fourier transform is given by a family of generalized Feynman (master) integrals, the method allows to derive the expression of such integrals in a completely independent way, bypassing the use of Mellin-Barnes techniques, which have been used in the past. The application of the special conformal constraints generates a new recursion relation for this family of integrals.

[ { "created": "Thu, 25 Apr 2013 15:53:47 GMT", "version": "v1" }, { "created": "Mon, 17 Jun 2013 10:13:53 GMT", "version": "v2" } ]

2015-06-15

[ [ "Coriano", "Claudio", "" ], [ "Rose", "Luigi Delle", "" ], [ "Mottola", "Emil", "" ], [ "Serino", "Mirko", "" ] ]

We investigate the structure of the constraints on three-point correlation functions emerging when conformal invariance is imposed in momentum space and in arbitrary space-time dimensions, presenting a derivation of their solutions for arbitrary scalar operators. We show that the differential equations generated by the requirement of symmetry under special conformal transformations coincide with those satisfied by generalized hypergeometric functions (Appell's functions). Combined with the position space expression of this correlator, whose Fourier transform is given by a family of generalized Feynman (master) integrals, the method allows to derive the expression of such integrals in a completely independent way, bypassing the use of Mellin-Barnes techniques, which have been used in the past. The application of the special conformal constraints generates a new recursion relation for this family of integrals.

10.962422

10.856112

11.967127

10.885393

11.341451

10.932405

11.228111

11.119016

9.947425

11.211887

10.462342

10.547003

10.36797

10.23605

10.468778

10.841865

10.547093

10.522347

9.996112

10.30529

9.844056

1208.4801

Wissam Chemissany

W. Chemissany, S. Ferrara, R. Kallosh, and C. S. Shahbazi

N=2 Supergravity Counterterms, Off and On Shell

20 pages, 3 tables. Acknowledgments added. arXiv admin note: text overlap with arXiv:1010.2150 by other authors

null

10.1007/JHEP12(2012)089

null

hep-th

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

We study N=2 supergravity deformed by a genuine supersymmetric completion of the $\lambda R^4$ term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2 supergravity with higher derivative deformation. Elimination of auxiliary fields leads to the deformation of the supersymmetry rules as well as to the deformation of the action, which becomes a Born-Infeld with higher derivative type action. We find that the gravitino supersymmetry deformation starts from $\lambda \, \pa^4 {\cal F}^3$ and has higher graviphoton couplings. In the action there are terms $\lambda^2 \pa^8 {\cal F}^{6}$ and higher, in addition to original on shell counterterm deformation. These deformations are absent in the on shell superspace and in the candidate on shell counterterms of N=4,~8 supergravities, truncated down to N=2. We conclude therefore that the undeformed on shell superspace candidate counterterms break the N=2 part of local supersymmetry.

[ { "created": "Thu, 23 Aug 2012 17:08:13 GMT", "version": "v1" }, { "created": "Mon, 17 Dec 2012 15:37:15 GMT", "version": "v2" }, { "created": "Sat, 19 Jan 2013 15:35:59 GMT", "version": "v3" } ]

2015-06-11

[ [ "Chemissany", "W.", "" ], [ "Ferrara", "S.", "" ], [ "Kallosh", "R.", "" ], [ "Shahbazi", "C. S.", "" ] ]

We study N=2 supergravity deformed by a genuine supersymmetric completion of the $\lambda R^4$ term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2 supergravity with higher derivative deformation. Elimination of auxiliary fields leads to the deformation of the supersymmetry rules as well as to the deformation of the action, which becomes a Born-Infeld with higher derivative type action. We find that the gravitino supersymmetry deformation starts from $\lambda \, \pa^4 {\cal F}^3$ and has higher graviphoton couplings. In the action there are terms $\lambda^2 \pa^8 {\cal F}^{6}$ and higher, in addition to original on shell counterterm deformation. These deformations are absent in the on shell superspace and in the candidate on shell counterterms of N=4,~8 supergravities, truncated down to N=2. We conclude therefore that the undeformed on shell superspace candidate counterterms break the N=2 part of local supersymmetry.

10.701667

11.34171

12.059229

10.085777

11.079778

11.729226

10.695866

10.799893

10.610027

13.471005

10.256163

10.785876

11.164822

10.460001

10.208778

10.336793

10.606559

10.383815

10.276608

11.42101

10.379449

hep-th/9110009

null

John Ellis, Yitzhak Frishman and Marek Karliner

Constituent Quarks as Solitons

14 pages

Phys.Lett.B272:333-338,1991

10.1016/0370-2693(91)91839-N

null

hep-th

null

We exhibit soliton solutions of QCD in two dimensions that have the quantum numbers of quarks. They exist only for quarks heavier than the dimensional gauge coupling, and have infinite energy, corresponding to the presence of a string carrying the non-singlet color flux off to spatial infinity. The quark solitons also disappear at finite temperature, as the temperature-dependent effective quark mass is reduced in the approach to the quark/hadron phase transition.

[ { "created": "Wed, 2 Oct 1991 16:56:00 GMT", "version": "v1" } ]

2009-09-11

[ [ "Ellis", "John", "" ], [ "Frishman", "Yitzhak", "" ], [ "Karliner", "Marek", "" ] ]

We exhibit soliton solutions of QCD in two dimensions that have the quantum numbers of quarks. They exist only for quarks heavier than the dimensional gauge coupling, and have infinite energy, corresponding to the presence of a string carrying the non-singlet color flux off to spatial infinity. The quark solitons also disappear at finite temperature, as the temperature-dependent effective quark mass is reduced in the approach to the quark/hadron phase transition.

13.223831

15.124136

12.227508

12.131498

13.502347

14.235571

15.087229

14.83493

11.621902

14.862265

12.906988

12.658243

12.019666

12.074198

12.539742

12.24848

11.832086

11.883676

12.093279

12.414594

12.655491

0802.2040

Ulf Gran

U. Gran, J. Gutowski, G. Papadopoulos

Invariant Killing spinors in 11D and type II supergravities

22 pages, typos corrected

Class.Quant.Grav.26:155004,2009

10.1088/0264-9381/26/15/155004

null

hep-th

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

We present all isotropy groups and associated $\Sigma$ groups, up to discrete identifications of the component connected to the identity, of spinors of eleven-dimensional and type II supergravities. The $\Sigma$ groups are products of a Spin group and an R-symmetry group of a suitable lower dimensional supergravity theory. Using the case of SU(4)-invariant spinors as a paradigm, we demonstrate that the $\Sigma$ groups, and so the R-symmetry groups of lower-dimensional supergravity theories arising from compactifications, have disconnected components. These lead to discrete symmetry groups reminiscent of R-parity. We examine the role of disconnected components of the $\Sigma$ groups in the choice of Killing spinor representatives and in the context of compactifications.

[ { "created": "Thu, 14 Feb 2008 15:59:11 GMT", "version": "v1" }, { "created": "Fri, 10 Jul 2009 08:39:34 GMT", "version": "v2" } ]

2009-07-22

[ [ "Gran", "U.", "" ], [ "Gutowski", "J.", "" ], [ "Papadopoulos", "G.", "" ] ]

We present all isotropy groups and associated $\Sigma$ groups, up to discrete identifications of the component connected to the identity, of spinors of eleven-dimensional and type II supergravities. The $\Sigma$ groups are products of a Spin group and an R-symmetry group of a suitable lower dimensional supergravity theory. Using the case of SU(4)-invariant spinors as a paradigm, we demonstrate that the $\Sigma$ groups, and so the R-symmetry groups of lower-dimensional supergravity theories arising from compactifications, have disconnected components. These lead to discrete symmetry groups reminiscent of R-parity. We examine the role of disconnected components of the $\Sigma$ groups in the choice of Killing spinor representatives and in the context of compactifications.

11.719143

11.519489

13.340444

11.324503

12.0451

11.17234

11.314132

10.215902

11.114341

12.676464

10.573933

10.325674

11.410069

10.239441

10.261448

10.063976

9.990799

10.388688

10.422306

11.314154

10.397968

0707.2671

Hiroyuki Abe

Hiroyuki Abe, Tetsutaro Higaki, Tatsuo Kobayashi

More about F-term uplifting

22 pages; a sign error in the evaluation of F^X and the related part corrected, references added

Phys.Rev.D76:105003,2007

10.1103/PhysRevD.76.105003

YITP-07-43, TU-794, KUNS-2087

hep-th hep-ph

null

We study moduli stabilization and a realization of de Sitter vacua in generalized F-term uplifting scenarios of the KKLT-type anti-de Sitter vacuum, where the uplifting sector X directly couples to the light K\"ahler modulus T in the superpotential through, e.g., stringy instanton effects. F-term uplifting can be achieved by a spontaneous supersymmetry breaking sector, e.g., the Polonyi model, the O'Raifeartaigh model and the Intriligator-Seiberg-Shih model. Several models with the X-T mixing are examined and qualitative features in most models {\it even with such mixing} are almost the same as those in the KKLT scenario. One of the quantitative changes, which are relevant to the phenomenology, is a larger hierarchy between the modulus mass m_T and the gravitino mass $m_{3/2}$, i.e., $m_T/m_{3/2} = {\cal O}(a^2)$, where $a \sim 4 \pi^2$. In spite of such a large mass, the modulus F-term is suppressed not like $F^T = {\cal O}(m_{3/2}/a^2)$, but like $F^T = {\cal O}(m_{3/2}/a)$ for $\ln (M_{Pl}/m_{3/2}) \sim a$, because of an enhancement factor coming from the X-T mixing. Then we typically find a mirage-mediation pattern of gaugino masses of ${\cal O}(m_{3/2}/a)$, while the scalar masses would be generically of ${\cal O}(m_{3/2})$.

[ { "created": "Wed, 18 Jul 2007 08:43:02 GMT", "version": "v1" }, { "created": "Wed, 25 Jul 2007 09:58:54 GMT", "version": "v2" } ]

2008-11-26

[ [ "Abe", "Hiroyuki", "" ], [ "Higaki", "Tetsutaro", "" ], [ "Kobayashi", "Tatsuo", "" ] ]

We study moduli stabilization and a realization of de Sitter vacua in generalized F-term uplifting scenarios of the KKLT-type anti-de Sitter vacuum, where the uplifting sector X directly couples to the light K\"ahler modulus T in the superpotential through, e.g., stringy instanton effects. F-term uplifting can be achieved by a spontaneous supersymmetry breaking sector, e.g., the Polonyi model, the O'Raifeartaigh model and the Intriligator-Seiberg-Shih model. Several models with the X-T mixing are examined and qualitative features in most models {\it even with such mixing} are almost the same as those in the KKLT scenario. One of the quantitative changes, which are relevant to the phenomenology, is a larger hierarchy between the modulus mass m_T and the gravitino mass $m_{3/2}$, i.e., $m_T/m_{3/2} = {\cal O}(a^2)$, where $a \sim 4 \pi^2$. In spite of such a large mass, the modulus F-term is suppressed not like $F^T = {\cal O}(m_{3/2}/a^2)$, but like $F^T = {\cal O}(m_{3/2}/a)$ for $\ln (M_{Pl}/m_{3/2}) \sim a$, because of an enhancement factor coming from the X-T mixing. Then we typically find a mirage-mediation pattern of gaugino masses of ${\cal O}(m_{3/2}/a)$, while the scalar masses would be generically of ${\cal O}(m_{3/2})$.

5.687917

5.735126

6.140129

5.604784

5.994895

5.754415

5.674432

5.657053

5.435358

6.016444

5.474738

5.638592

5.52409

5.625893

5.572852

5.541138

5.632357

5.505482

5.482666

5.663933

5.459859

hep-th/9802124

W. Kim Baskerville

Kim Baskerville and Robin Michaels

Classification of Normal Modes for Multiskyrmions

4 pages latex, 1 figure added, typos corrected: in particular concerning B=4 and B=7 representations. Text otherwise unchanged

null

DTP 98-11

hep-th

null

The normal mode spectra of multiskyrmions play a key role in their quantisation. We present a general method capable of predicting all the low-lying vibrational modes of known minimal energy multiskyrmions. In particular, we explain the origin of the higher multipole breathing modes, previously observed but not understood. We show how these modes may be classified according to the symmetry group of the static solution. Our results provide strong hints that the N-skyrmion moduli space, for N>3, may have a richer structure than previously thought, incorporating 8N-4 degrees of freedom.

[ { "created": "Wed, 18 Feb 1998 17:48:35 GMT", "version": "v1" }, { "created": "Fri, 20 Feb 1998 16:35:29 GMT", "version": "v2" } ]

2007-05-23

[ [ "Baskerville", "Kim", "" ], [ "Michaels", "Robin", "" ] ]

The normal mode spectra of multiskyrmions play a key role in their quantisation. We present a general method capable of predicting all the low-lying vibrational modes of known minimal energy multiskyrmions. In particular, we explain the origin of the higher multipole breathing modes, previously observed but not understood. We show how these modes may be classified according to the symmetry group of the static solution. Our results provide strong hints that the N-skyrmion moduli space, for N>3, may have a richer structure than previously thought, incorporating 8N-4 degrees of freedom.

10.84345

9.188816

11.002508

8.779147

9.663128

8.767229

9.568542

9.406872

9.1373

9.907687

8.951118

9.241167

9.755201

9.3296

9.028335

9.385265

9.425527

8.898303

9.276061

9.751015

9.155127

1607.05187

Sunandan Gangopadhyay

Debabrata Ghorai, Sunandan Gangopadhyay

Holographic free energy and thermodynamic geometry

13 pages Latex

Eur. Phys. J. C 76 (2016) 702

10.1140/epjc/s10052-016-4555-1

null

hep-th gr-qc

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

We analytically obtain the free energy and thermodynamic geometry of holographic superconductors in $2+1$-dimensions. The gravitational theory in the bulk dual to this $2+1$-dimensional strongly coupled theory lives in the $3+1$-dimensions and is that of a charged $AdS$ black hole together with a massive charged scalar field. The matching method is applied to obtain the nature of the fields near the horizon using which the holographic free energy is computed through the gauge/gravity duality. The critical temperature is obtained for a set of values of the matching point of the near horizon and the boundary behaviour of the fields. The thermodynamic geometry is then computed from the free energy of the boundary theory. From the divergence of the thermodynamic scalar curvature, the critical temperature is obtained once again. We then compare this result for the critical temperature with that obtained from the matching method.

[ { "created": "Thu, 14 Jul 2016 16:31:01 GMT", "version": "v1" } ]

2016-12-23

[ [ "Ghorai", "Debabrata", "" ], [ "Gangopadhyay", "Sunandan", "" ] ]

We analytically obtain the free energy and thermodynamic geometry of holographic superconductors in $2+1$-dimensions. The gravitational theory in the bulk dual to this $2+1$-dimensional strongly coupled theory lives in the $3+1$-dimensions and is that of a charged $AdS$ black hole together with a massive charged scalar field. The matching method is applied to obtain the nature of the fields near the horizon using which the holographic free energy is computed through the gauge/gravity duality. The critical temperature is obtained for a set of values of the matching point of the near horizon and the boundary behaviour of the fields. The thermodynamic geometry is then computed from the free energy of the boundary theory. From the divergence of the thermodynamic scalar curvature, the critical temperature is obtained once again. We then compare this result for the critical temperature with that obtained from the matching method.

6.491852

6.450641

6.690924

6.275975

6.327971

6.291017

6.760863

6.5506

6.296474

6.813913

6.01845

6.477796

6.380621

6.249591

6.535769

6.638134

6.624462

6.391487

6.301271

6.540653

6.211654

hep-th/9110007

Peter Bouwknegt

P. Bouwknegt, J. McCarthy, and K. Pilch

Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction

15 pages

null

hep-th

null

We review some aspects of the free field approach to two-dimensional conformal field theories. Specifically, we discuss the construction of free field resolutions for the integrable highest weight modules of untwisted affine Kac-Moody algebras, and extend the construction to a certain class of admissible highest weight modules. Using these, we construct resolutions of the completely degenerate highest weight modules of W-algebras by means of the quantum Drinfeld-Sokolov reduction. As a corollary we derive character formulae for these degenerate highest weight modules.

[ { "created": "Wed, 2 Oct 1991 09:23:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bouwknegt", "P.", "" ], [ "McCarthy", "J.", "" ], [ "Pilch", "K.", "" ] ]

We review some aspects of the free field approach to two-dimensional conformal field theories. Specifically, we discuss the construction of free field resolutions for the integrable highest weight modules of untwisted affine Kac-Moody algebras, and extend the construction to a certain class of admissible highest weight modules. Using these, we construct resolutions of the completely degenerate highest weight modules of W-algebras by means of the quantum Drinfeld-Sokolov reduction. As a corollary we derive character formulae for these degenerate highest weight modules.

5.237344

4.705394

7.00247

4.801403

4.875551

4.740269

5.060807

4.902587

4.999194

6.682069

4.878095

4.899916

5.609637

4.915518

4.878816

4.785947

5.020298

4.856262

4.968859

5.439131

4.864112

2011.12192

Konstantin Zarembo

Charlotte Kristjansen, Dennis M\"uller and Konstantin Zarembo

Overlaps and Fermionic Dualities for Integrable Super Spin Chains

34 pages, 8 figures; v2: a few clarifications added

null

NORDITA 2020-109

hep-th

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

The psu(2,2|4) integrable super spin chain underlying the AdS/CFT correspondence has integrable boundary states which describe set-ups where k D3-branes get dissolved in a probe D5-brane. Overlaps between Bethe eigenstates and these boundary states encode the one-point functions of conformal operators and are expressed in terms of the superdeterminant of the Gaudin matrix that in turn depends on the Dynkin diagram of the symmetry algebra. The different possible Dynkin diagrams of super Lie algebras are related via fermionic dualities and we determine how overlap formulae transform under these dualities. As an application we show how to consistently move between overlap formulae obtained for k=1 from different Dynkin diagrams.

[ { "created": "Tue, 24 Nov 2020 16:36:42 GMT", "version": "v1" }, { "created": "Fri, 15 Jan 2021 16:01:27 GMT", "version": "v2" } ]

2021-01-18

[ [ "Kristjansen", "Charlotte", "" ], [ "Müller", "Dennis", "" ], [ "Zarembo", "Konstantin", "" ] ]

The psu(2,2|4) integrable super spin chain underlying the AdS/CFT correspondence has integrable boundary states which describe set-ups where k D3-branes get dissolved in a probe D5-brane. Overlaps between Bethe eigenstates and these boundary states encode the one-point functions of conformal operators and are expressed in terms of the superdeterminant of the Gaudin matrix that in turn depends on the Dynkin diagram of the symmetry algebra. The different possible Dynkin diagrams of super Lie algebras are related via fermionic dualities and we determine how overlap formulae transform under these dualities. As an application we show how to consistently move between overlap formulae obtained for k=1 from different Dynkin diagrams.

10.402867

9.707967

12.316697

8.832878

10.596335

10.471828

10.517082

9.758302

9.716472

14.18302

9.983387

10.208982

10.675803

9.818729

9.405152

9.937036

9.869476

9.653307

9.867107

10.668892

9.380067

hep-th/9712168

Moshe Rozali

Robert G. Leigh and Moshe Rozali

A Note on Six-Dimensional Gauge Theories

Minor changes, Final version to appear in Physics Letters B

Phys.Lett.B433:43-48,1998

10.1016/S0370-2693(98)00594-2

ILL-(TH)-97-09

hep-th

null

We study the new ``gauge'' theories in 5+1 dimensions, and their non-commutative generalizations. We argue that the $\theta$-term and the non-commutative torus parameters appear on an equal footing in the non-critical string theories which define the gauge theories. The use of these theories as a Matrix description of M-theory on $T^5$, as well as a closely related realization as 5-branes in type IIB string theory, proves useful in studying some of their properties.

[ { "created": "Tue, 16 Dec 1997 22:56:46 GMT", "version": "v1" }, { "created": "Tue, 14 Apr 1998 15:46:03 GMT", "version": "v2" } ]

2010-11-19

[ [ "Leigh", "Robert G.", "" ], [ "Rozali", "Moshe", "" ] ]

We study the new ``gauge'' theories in 5+1 dimensions, and their non-commutative generalizations. We argue that the $\theta$-term and the non-commutative torus parameters appear on an equal footing in the non-critical string theories which define the gauge theories. The use of these theories as a Matrix description of M-theory on $T^5$, as well as a closely related realization as 5-branes in type IIB string theory, proves useful in studying some of their properties.

10.146443

9.22359

11.38825

9.540053

9.845049

9.495929

10.029259

9.879756

9.448741

11.298292

9.440401

9.506757

10.696501

9.732828

9.634405

9.598032

9.545018

9.328854

9.371253

10.745522

9.649237

2211.01186

Alessandro Torrielli

LonTI Lectures on Sine-Gordon and Thirring

40 pages, pdfLaTeX; many figures; comments are welcome

null

DMUS-MP-22/20

hep-th

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

This is the extended write-up of a series of lectures on the duality between the Sine-Gordon model and the Thirring model. Prepared for the London Theory Institute (LonTI) - Fall 2022: a PhD-level mini-course, with exercises and a guide to the literature.

[ { "created": "Wed, 2 Nov 2022 15:02:23 GMT", "version": "v1" } ]

2022-11-03

[ [ "Torrielli", "Alessandro", "" ] ]

This is the extended write-up of a series of lectures on the duality between the Sine-Gordon model and the Thirring model. Prepared for the London Theory Institute (LonTI) - Fall 2022: a PhD-level mini-course, with exercises and a guide to the literature.

20.113691

16.713682

17.170988

15.550531

17.855177

18.736189

15.925501

15.264002

12.819455

19.074785

16.504755

15.363992

14.954625

14.42383

14.810803

15.487901

15.979937

15.504463

15.171509

15.346049

15.044477

2305.16940

Ricardo Schiappa

Bertrand Eynard, Elba Garcia-Failde, Paolo Gregori, Danilo Lewanski, Ricardo Schiappa

Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion

63 pages, 52 plots in 16 figures, jheppub-nosort.sty; v2: minor corrections/typos

null

CERN-TH-2021-097

hep-th math-ph math.AG math.MP math.SG

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

Jackiw-Teitelboim dilaton-quantum-gravity localizes on a double-scaled random-matrix model, whose perturbative free energy is an asymptotic series. Understanding the resurgent properties of this asymptotic series, including its completion into a full transseries, requires understanding the nonperturbative instanton sectors of the matrix model for Jackiw-Teitelboim gravity. The present work addresses this question by setting-up instanton calculus associated to eigenvalue tunneling (or ZZ-brane contributions), directly in the matrix model. In order to systematize such calculations, a nonperturbative extension of the topological recursion formalism is required -- which is herein both constructed and applied to the present problem. Large-order tests of the perturbative genus expansion validate the resurgent nature of Jackiw-Teitelboim gravity, both for its free energy and for its (multi-resolvent) correlation functions. Both ZZ and FZZT nonperturbative effects are required by resurgence, and they further display resonance upon the Borel plane. Finally, the resurgence properties of the multi-resolvent correlation functions yield new and improved resurgence formulae for the large-genus growth of Weil-Petersson volumes.

[ { "created": "Fri, 26 May 2023 13:56:48 GMT", "version": "v1" }, { "created": "Mon, 18 Dec 2023 14:11:12 GMT", "version": "v2" } ]

2023-12-19

[ [ "Eynard", "Bertrand", "" ], [ "Garcia-Failde", "Elba", "" ], [ "Gregori", "Paolo", "" ], [ "Lewanski", "Danilo", "" ], [ "Schiappa", "Ricardo", "" ] ]

Jackiw-Teitelboim dilaton-quantum-gravity localizes on a double-scaled random-matrix model, whose perturbative free energy is an asymptotic series. Understanding the resurgent properties of this asymptotic series, including its completion into a full transseries, requires understanding the nonperturbative instanton sectors of the matrix model for Jackiw-Teitelboim gravity. The present work addresses this question by setting-up instanton calculus associated to eigenvalue tunneling (or ZZ-brane contributions), directly in the matrix model. In order to systematize such calculations, a nonperturbative extension of the topological recursion formalism is required -- which is herein both constructed and applied to the present problem. Large-order tests of the perturbative genus expansion validate the resurgent nature of Jackiw-Teitelboim gravity, both for its free energy and for its (multi-resolvent) correlation functions. Both ZZ and FZZT nonperturbative effects are required by resurgence, and they further display resonance upon the Borel plane. Finally, the resurgence properties of the multi-resolvent correlation functions yield new and improved resurgence formulae for the large-genus growth of Weil-Petersson volumes.

11.537295

11.159012

14.788461

10.494055

10.721423

11.442915

10.160895

10.214894

10.351032

13.848577

9.902038

11.028019

11.667389

11.187286

11.412641

11.249113

10.665341

10.854553

10.756233

11.487209

10.843992

hep-th/0404054

Paolo Aschieri

Non-Commutative GUTs, Standard Model and C,P,T properties from Seiberg-Witten map

9 pages. Presented at the Balkan Workshop 2003, Vrnjacka Banja, 29.8-2.9.2003 and at the 9th Adriatic Meeting, Dubrovnik, 4-14.9.2003

SpringerProc.Phys.98:285-292,2005

10.1007/3-540-26798-0_27

null

hep-th hep-ph

null

Noncommutative generalizations of Yang-Mills theories using Seiberg-Witten map are in general not unique. We study these ambiguities and see that SO(10) GUT, at first order in the noncommutativity parameter \theta, is unique and therefore is a truly unified theory, while SU(5) is not. We then present the noncommutative Standard Model compatible with SO(10) GUT. We next study the reality, hermiticity and C,P,T properties of the Seiberg-Witten map and of these noncommutative actions at all orders in \theta. This allows to compare the Standard Model discussed in [5] with the present GUT inspired one.

[ { "created": "Tue, 6 Apr 2004 18:27:17 GMT", "version": "v1" } ]

2015-06-26

[ [ "Aschieri", "Paolo", "" ] ]

Noncommutative generalizations of Yang-Mills theories using Seiberg-Witten map are in general not unique. We study these ambiguities and see that SO(10) GUT, at first order in the noncommutativity parameter \theta, is unique and therefore is a truly unified theory, while SU(5) is not. We then present the noncommutative Standard Model compatible with SO(10) GUT. We next study the reality, hermiticity and C,P,T properties of the Seiberg-Witten map and of these noncommutative actions at all orders in \theta. This allows to compare the Standard Model discussed in [5] with the present GUT inspired one.

8.406043

7.529893

8.27373

8.01252

8.178998

8.363183

8.33906

7.576704

7.740757

9.072234

7.64507

7.641072

7.915663

7.354694

7.790664

8.207499

7.424286

7.619558

7.524025

7.889148

7.594676

hep-th/9801122

Herbert Liebl

W. Kummer, H. Liebl (Vienna, Tech. U.), D.V. Vassilevich (St. Petersburg University)

Comment on: ``Trace anomaly of dilaton coupled scalars in two dimensions''

2 pages

Phys. Rev. D 58, 108501 (1998)

10.1103/PhysRevD.58.108501

TUW-98-03

hep-th gr-qc

null

The trace anomaly for nonminimally coupled scalars in spherically reduced gravity obtained by Bousso and Hawking (hep-th/9705236) is incorrect. We explain the reasons for the deviations from our correct (published) result which is supported by several other recent papers.

[ { "created": "Sun, 18 Jan 1998 16:31:10 GMT", "version": "v1" } ]

2016-08-25

[ [ "Kummer", "W.", "", "Vienna, Tech. U." ], [ "Liebl", "H.", "", "Vienna, Tech. U." ], [ "Vassilevich", "D. V.", "", "St.\n Petersburg University" ] ]

The trace anomaly for nonminimally coupled scalars in spherically reduced gravity obtained by Bousso and Hawking (hep-th/9705236) is incorrect. We explain the reasons for the deviations from our correct (published) result which is supported by several other recent papers.

16.104094

14.379406

15.589138

11.867712

13.936769

15.621158

15.788456

14.439134

15.217441

18.340837

12.953263

12.426955

15.357249

14.691828

12.458938

12.990233

13.468787

14.030769

13.506533

14.78704

12.646313

1201.0449

Wout Merbis

Eric A. Bergshoeff, Sjoerd de Haan, Wout Merbis, Massimo Porrati and Jan Rosseel

Unitary Truncations and Critical Gravity: a Toy Model

23 pages. As accepted for publication in JHEP

JHEP 1204 (2012), 134

10.1007/JHEP04(2012)134

null

hep-th

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

We investigate a higher-derivative scalar field model in a fixed d+1 dimensional AdS background as a toy model for a gravitational dual to a higher-rank logarithmic CFT. The holographic two-point correlation functions on the boundary agree with higher-rank LCFT correlation functions. For odd rank, the theory allows for a truncation to a nontrivial subspace with non-negative scalar product. We discuss possible implications for higher-derivative critical gravity theories.

[ { "created": "Mon, 2 Jan 2012 10:27:57 GMT", "version": "v1" }, { "created": "Wed, 11 Apr 2012 12:01:42 GMT", "version": "v2" }, { "created": "Mon, 7 May 2012 12:35:26 GMT", "version": "v3" } ]

2012-05-08

[ [ "Bergshoeff", "Eric A.", "" ], [ "de Haan", "Sjoerd", "" ], [ "Merbis", "Wout", "" ], [ "Porrati", "Massimo", "" ], [ "Rosseel", "Jan", "" ] ]

We investigate a higher-derivative scalar field model in a fixed d+1 dimensional AdS background as a toy model for a gravitational dual to a higher-rank logarithmic CFT. The holographic two-point correlation functions on the boundary agree with higher-rank LCFT correlation functions. For odd rank, the theory allows for a truncation to a nontrivial subspace with non-negative scalar product. We discuss possible implications for higher-derivative critical gravity theories.

12.593358

11.579844

13.003325

10.763683

10.92745

11.801188

10.859269

11.285814

11.252778

14.684852

10.930176

11.182135

12.22975

11.405119

11.453498

11.640687

11.479907

11.350187

10.885162

11.769718

11.136896

1409.0571

Gianluca Zoccarato

Hirotaka Hayashi, Gianluca Zoccarato

Exact partition functions of Higgsed 5d $T_N$ theories

54 pages, 13 figures, v2. added an appendix and minor changes in the main text, version accepted on JHEP

null

10.1007/JHEP01(2015)093

IFT-UAM/CSIC-14-089

hep-th

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

We present a general prescription by which we can systematically compute exact partition functions of five-dimensional supersymmetric theories which arise in Higgs branches of the $T_N$ theory. The theories may be realized by webs of 5-branes whose dual geometries are non-toric. We have checked our method by calculating the partition functions of the theories realized in various Higgs branches of the $T_3$ theory. A particularly interesting example is the $E_8$ theory which can be obtained by Higgsing the $T_6$ theory. We explicitly compute the partition function of the $E_8$ theory and find the agreement with the field theory result as well as the enhancement of the global symmetry to $E_8$.

[ { "created": "Mon, 1 Sep 2014 22:07:22 GMT", "version": "v1" }, { "created": "Mon, 19 Jan 2015 10:45:27 GMT", "version": "v2" } ]

2015-06-22

[ [ "Hayashi", "Hirotaka", "" ], [ "Zoccarato", "Gianluca", "" ] ]

We present a general prescription by which we can systematically compute exact partition functions of five-dimensional supersymmetric theories which arise in Higgs branches of the $T_N$ theory. The theories may be realized by webs of 5-branes whose dual geometries are non-toric. We have checked our method by calculating the partition functions of the theories realized in various Higgs branches of the $T_3$ theory. A particularly interesting example is the $E_8$ theory which can be obtained by Higgsing the $T_6$ theory. We explicitly compute the partition function of the $E_8$ theory and find the agreement with the field theory result as well as the enhancement of the global symmetry to $E_8$.

6.453619

5.353121

7.382922

5.528012

5.928221

5.835231

5.886068

5.758665

5.732626

7.387918

5.689671

5.447313

6.544995

5.729399

5.563851

5.562236

5.836042

5.640442

5.586688

6.178755

5.615118

hep-th/9809213

Dmitri Sorokin

Paolo Pasti, Dmitri Sorokin and Mario Tonin

On gauge-fixed superbrane actions in AdS superbackgrounds

LaTeX file, 10 pages. Minor corrections, version to appear in PLB

Phys.Lett. B447 (1999) 251-256

10.1016/S0370-2693(98)01597-4

HUB EP-98/66, DFPB 98/TH/45

hep-th

null

To construct actions for describing superbranes propagating in AdS x S superbackgrounds we propose a coset space realization of these superbackgrounds which results in a short polynomial fermionic dependence (up to the sixth power in Grassmann coordinates) of target superspace supervielbeins and superconnections. Gauge fixing kappa-symmetry in a way compatible with a static brane solution further reduces the fermionic dependence down to the fourth power. Subtleties of consistent gauge fixing worldvolume diffeomorphisms and kappa-symmetry of the superbrane actions are discussed.

[ { "created": "Wed, 30 Sep 1998 18:11:10 GMT", "version": "v1" }, { "created": "Thu, 1 Oct 1998 19:07:54 GMT", "version": "v2" }, { "created": "Wed, 27 Jan 1999 17:41:54 GMT", "version": "v3" } ]

2009-10-31

[ [ "Pasti", "Paolo", "" ], [ "Sorokin", "Dmitri", "" ], [ "Tonin", "Mario", "" ] ]

To construct actions for describing superbranes propagating in AdS x S superbackgrounds we propose a coset space realization of these superbackgrounds which results in a short polynomial fermionic dependence (up to the sixth power in Grassmann coordinates) of target superspace supervielbeins and superconnections. Gauge fixing kappa-symmetry in a way compatible with a static brane solution further reduces the fermionic dependence down to the fourth power. Subtleties of consistent gauge fixing worldvolume diffeomorphisms and kappa-symmetry of the superbrane actions are discussed.

13.507725

10.370215

14.686942

10.869003

11.86602

11.254996

11.132109

10.809965

11.075301

15.557801

11.042517

10.641405

13.223559

11.527396

11.099697

10.752851

11.362886

11.259951

11.558191

12.972027

11.070327

hep-th/9801059

Valeri Dvoeglazov

Valeri V. Dvoeglazov (Universidad Autonoma de Zacatecas)

More about the S=1 relativistic oscillator

ReVTeX file, 7pp., no figures

Int.J.Theor.Phys. 39 (2000) 2011-2017

null

EFUAZ FT-96-40-REV

hep-th math-ph math.MP

null

Following to the lines drawn in my previous paper about the S=0 relativistic oscillator I build up an oscillatorlike system which can be named as the S=1 Proca oscillator. The Proca field function is obtained in the framework of the Bargmann-Wigner prescription and the interaction is introduced similarly to the S=1/2 Dirac oscillator case regarded by Moshinsky and Szczepaniak. We obtained the intriguing rule of quantization: E = \hbar \omega /2 for the parity states (-1)^j and E = \pm \hbar \omega (j+1/2) for the parity states -(-1)^j. There are no radial excitations. Finally, I apply the above-mentioned procedure to the case of the two-body relativistic oscillator.

[ { "created": "Sun, 11 Jan 1998 00:09:49 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dvoeglazov", "Valeri V.", "", "Universidad Autonoma de Zacatecas" ] ]

Following to the lines drawn in my previous paper about the S=0 relativistic oscillator I build up an oscillatorlike system which can be named as the S=1 Proca oscillator. The Proca field function is obtained in the framework of the Bargmann-Wigner prescription and the interaction is introduced similarly to the S=1/2 Dirac oscillator case regarded by Moshinsky and Szczepaniak. We obtained the intriguing rule of quantization: E = \hbar \omega /2 for the parity states (-1)^j and E = \pm \hbar \omega (j+1/2) for the parity states -(-1)^j. There are no radial excitations. Finally, I apply the above-mentioned procedure to the case of the two-body relativistic oscillator.

11.317329

11.81948

11.986173

10.668185

11.009244

11.393036

11.730556

12.417108

11.527438

12.157616

11.301022

11.08804

11.341323

10.479381

10.595039

11.029469

11.138176

10.844007

10.756016

10.900693

10.919123

1511.01659

Gennady Stepanovich Danilov

G. S. Danilov

Calculation of multi-loop superstring amplitudes

47 pages, LATEX

null

10.1088/0264-9381/33/23/235012

null

hep-th

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

Multi-loop interaction amplitudes in the theory of the closed, oriented superstrings are obtained by the integration of local amplitudes which are represented by a sum of the spinning string local amplitudes. The last local amplitudes are given explicitly through super-Schottky group parameters and interaction vertex coordinates on the $(1|1)$ complex supermanifold. The integration is ambiguous under those replacements of the integration variables which admix Grassmann variables to the boson ones. So the calculation is guided by a preservation of local symmetries of the superstring. The obtained amplitudes are free from divergences and consistent with the world-sheet symmetries. The vacuum amplitude and 1-, 2- and 3-point amplitudes of massless states vanish once the integration over certin modular variables and interaction vertex coordinates.

[ { "created": "Thu, 5 Nov 2015 09:04:43 GMT", "version": "v1" } ]

2016-11-15

[ [ "Danilov", "G. S.", "" ] ]

Multi-loop interaction amplitudes in the theory of the closed, oriented superstrings are obtained by the integration of local amplitudes which are represented by a sum of the spinning string local amplitudes. The last local amplitudes are given explicitly through super-Schottky group parameters and interaction vertex coordinates on the $(1|1)$ complex supermanifold. The integration is ambiguous under those replacements of the integration variables which admix Grassmann variables to the boson ones. So the calculation is guided by a preservation of local symmetries of the superstring. The obtained amplitudes are free from divergences and consistent with the world-sheet symmetries. The vacuum amplitude and 1-, 2- and 3-point amplitudes of massless states vanish once the integration over certin modular variables and interaction vertex coordinates.

16.45207

15.094306

19.227049

14.810843

17.182795

16.659338

17.171114

15.812572

14.733437

20.596699

15.138328

15.242237

16.736336

16.196779

15.343731

15.618268

15.645624

15.401464

15.484707

16.629639

15.33639

1911.10343

Damiano Anselmi

Fakeons, quantum gravity and the correspondence principle

Proceedings of the conference "Progress and Visions in Quantum Theory in View of Gravity: Bridging foundations of physics and mathematics", Max Planck Institute for Mathematics in the Sciences, Leipzig, October 2018 - to appear in a book with the same title edited by F. Finster, D. Giulini, J. Kleiner and J. Tolksdorf - 21 pages

null

hep-th gr-qc hep-ph physics.hist-ph

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

The correspondence principle made of unitarity, locality and renormalizability has been very successful in quantum field theory. Among the other things, it helped us build the standard model. However, it also showed important limitations. For example, it failed to restrict the gauge group and the matter sector in a powerful way. After discussing its effectiveness, we upgrade it to make room for quantum gravity. The unitarity assumption is better understood, since it allows for the presence of physical particles as well as fake particles (fakeons). The locality assumption is applied to an interim classical action, since the true classical action is nonlocal and emerges from the quantization and a later process of classicization. The renormalizability assumption is refined to single out the special role of the gauge couplings. We show that the upgraded principle leads to an essentially unique theory of quantum gravity. In particular, in four dimensions, a fakeon of spin 2, together with a scalar field, is able to make the theory renormalizable while preserving unitarity. We offer an overview of quantum field theories of particles and fakeons in various dimensions, with and without gravity.

[ { "created": "Sat, 23 Nov 2019 10:11:28 GMT", "version": "v1" } ]

2019-11-27

[ [ "Anselmi", "Damiano", "" ] ]

The correspondence principle made of unitarity, locality and renormalizability has been very successful in quantum field theory. Among the other things, it helped us build the standard model. However, it also showed important limitations. For example, it failed to restrict the gauge group and the matter sector in a powerful way. After discussing its effectiveness, we upgrade it to make room for quantum gravity. The unitarity assumption is better understood, since it allows for the presence of physical particles as well as fake particles (fakeons). The locality assumption is applied to an interim classical action, since the true classical action is nonlocal and emerges from the quantization and a later process of classicization. The renormalizability assumption is refined to single out the special role of the gauge couplings. We show that the upgraded principle leads to an essentially unique theory of quantum gravity. In particular, in four dimensions, a fakeon of spin 2, together with a scalar field, is able to make the theory renormalizable while preserving unitarity. We offer an overview of quantum field theories of particles and fakeons in various dimensions, with and without gravity.

5.146401

10.488672

11.512642

9.930078

10.044188

9.474844

10.109534

9.800478

10.22998

11.305644

9.46498

8.484369

8.402711

7.51683

7.200187

7.888948

7.616181

7.917443

7.815521

8.132541

7.572653

1107.4886

Juan Mateos Guilarte

M. A. Gonzalez Leon, M. de la Torre Mayado, J. Mateos Guilarte, and M.J. Senosiain

On the Supersymmetric Spectra of two Planar Integrable Quantum Systems

LaTex file, 39 pages, 18 Figures. Expanded version of lectures given by JMG at Benasque, Spain, July 2010, and the Jairo Charris Seminar in Santa Marta, Colombia, August 2010

null

hep-th math-ph math.MP

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

Two planar supersymmetric quantum mechanical systems built around the quantum integrable Kepler/Coulomb and Euler/Coulomb problems are analyzed in depth. The supersymmetric spectra of both systems are unveiled, profiting from symmetry operators not related to invariance with respect to rotations. It is shown analytically how the first problem arises at the limit of zero distance between the centers of the second problem. It appears that the supersymmetric modified Euler/Coulomb problem is a quasi-isospectral deformation of the supersymmetric Kepler/Coulomb problem.

[ { "created": "Mon, 25 Jul 2011 10:33:35 GMT", "version": "v1" } ]

2011-07-26

[ [ "Leon", "M. A. Gonzalez", "" ], [ "Mayado", "M. de la Torre", "" ], [ "Guilarte", "J. Mateos", "" ], [ "Senosiain", "M. J.", "" ] ]

Two planar supersymmetric quantum mechanical systems built around the quantum integrable Kepler/Coulomb and Euler/Coulomb problems are analyzed in depth. The supersymmetric spectra of both systems are unveiled, profiting from symmetry operators not related to invariance with respect to rotations. It is shown analytically how the first problem arises at the limit of zero distance between the centers of the second problem. It appears that the supersymmetric modified Euler/Coulomb problem is a quasi-isospectral deformation of the supersymmetric Kepler/Coulomb problem.

13.491715

14.535692

14.651832

12.932768

15.797745

14.650887

14.603759

14.255878

13.427971

16.799805

12.345732

12.940586

12.839001

12.699557

13.394052

12.90435

11.945292

12.616131

12.910663

13.4815

12.459933

hep-th/9801119

Arthur Jaffe

Quantum Invariants

13 pages, Latex

Commun.Math.Phys.209:1-12,2000

10.1007/PL00005524

HUTMP 97/B370

hep-th

null

In super-symmetric quantum theory, or in string theory, (including generalizations of these theories to underlying quantum spaces) we study a certain partition function Z(Q,A,g). Here Q denotes a supercharge, A denotes an observable with the property A^2 = I, and g denotes an element of a symmetry group of Q. The supercharge may depend on a parameter lambda, namely Q = Q(lambda). We give an elementary argument to show that Z, as defined, does not actually depend on lambda.

[ { "created": "Sat, 17 Jan 1998 23:35:06 GMT", "version": "v1" } ]

2010-11-19

[ [ "Jaffe", "Arthur", "" ] ]

In super-symmetric quantum theory, or in string theory, (including generalizations of these theories to underlying quantum spaces) we study a certain partition function Z(Q,A,g). Here Q denotes a supercharge, A denotes an observable with the property A^2 = I, and g denotes an element of a symmetry group of Q. The supercharge may depend on a parameter lambda, namely Q = Q(lambda). We give an elementary argument to show that Z, as defined, does not actually depend on lambda.

13.58425

14.097245

14.340533

12.317496

12.791165

13.9146

13.640018

13.004498

13.023204

16.571583

12.151606

12.526401

13.057592

12.19797

11.721995

11.881737

12.029892

12.028295

12.390583

13.109408

11.947376

1611.02179

Jyotirmoy Bhattacharya

Jyotirmoy Bhattacharya and Arthur E. Lipstein

6d Dual Conformal Symmetry and Minimal Volumes in AdS

v1: 17+5 pages, 9 figures, v2: Published version; new references added

Journal of High Energy Physics, 2016(12), 1-24

10.1007/JHEP12(2016)105

null

hep-th

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

The S-matrix of a theory often exhibits symmetries which are not manifest from the viewpoint of its Lagrangian. For instance, powerful constraints on scattering amplitudes are imposed by the dual conformal symmetry of planar 4d $\mathcal{N}=4$ super Yang-Mills theory and the ABJM theory. Motivated by this, we investigate the consequences of dual conformal symmetry in six dimensions, which may provide useful insight into the worldvolume theory of M5-branes (if it enjoys such a symmetry). We find that 6d dual conformal symmetry uniquely fixes the integrand of the one-loop 4-point amplitude, and its structure suggests a Lagrangian with more than two derivatives. On integrating out the loop momentum in $6-2 \epsilon$ dimensions, the result is very similar to the corresponding amplitude of $\mathcal{N}=4$ super Yang-Mills theory. We confirm this result holographically by generalizing the Alday-Maldacena solution for a minimal area string in Anti-de Sitter space to a minimal volume M2-brane ending on pillow-shaped Wilson surface in the boundary whose seams correspond to a null-polygonal Wilson loop. This involves careful treatment of a prefactor which diverges as $1/\epsilon$, and we comment on its possible interpretation. We also study 2-loop 4-point integrands with 6d dual conformal symmetry and speculate on the existence of an all-loop formula for the 4-point amplitude.

[ { "created": "Mon, 7 Nov 2016 17:21:00 GMT", "version": "v1" }, { "created": "Thu, 29 Dec 2016 15:06:27 GMT", "version": "v2" } ]

2016-12-30

[ [ "Bhattacharya", "Jyotirmoy", "" ], [ "Lipstein", "Arthur E.", "" ] ]

The S-matrix of a theory often exhibits symmetries which are not manifest from the viewpoint of its Lagrangian. For instance, powerful constraints on scattering amplitudes are imposed by the dual conformal symmetry of planar 4d $\mathcal{N}=4$ super Yang-Mills theory and the ABJM theory. Motivated by this, we investigate the consequences of dual conformal symmetry in six dimensions, which may provide useful insight into the worldvolume theory of M5-branes (if it enjoys such a symmetry). We find that 6d dual conformal symmetry uniquely fixes the integrand of the one-loop 4-point amplitude, and its structure suggests a Lagrangian with more than two derivatives. On integrating out the loop momentum in $6-2 \epsilon$ dimensions, the result is very similar to the corresponding amplitude of $\mathcal{N}=4$ super Yang-Mills theory. We confirm this result holographically by generalizing the Alday-Maldacena solution for a minimal area string in Anti-de Sitter space to a minimal volume M2-brane ending on pillow-shaped Wilson surface in the boundary whose seams correspond to a null-polygonal Wilson loop. This involves careful treatment of a prefactor which diverges as $1/\epsilon$, and we comment on its possible interpretation. We also study 2-loop 4-point integrands with 6d dual conformal symmetry and speculate on the existence of an all-loop formula for the 4-point amplitude.

6.368114

7.131765

8.085755

6.972307

7.003779

7.067645

6.779067

7.027892

6.948225

8.287684

6.707871

6.48995

6.954095

6.742255

6.615864

6.682214

6.616466

6.590958

6.688864

6.994565

6.524054

hep-th/0606275

Riccardo Sturani

J. L. Cornou, E. Pajer, R. Sturani

Graviton production from D-string recombination and annihilation

28 pages, 3 figures

Nucl.Phys.B756:16-37,2006

10.1016/j.nuclphysb.2006.08.018

null

hep-th gr-qc

null

Fundamental superstrings (F-strings) and D-strings may be produced at high temperature in the early Universe. Assuming that, we investigate if any of the instabilities present in systems of strings and branes can give rise to a phenomenologically interesting production of gravitons. We focus on D-strings and find that D-string recombination is a far too weak process for both astrophysical and cosmological sources. On the other hand if D-strings annihilate they mostly produce massive closed string remnants and a characteristic spectrum of gravitational modes is produced by the remnant decay, which may be phenomenologically interesting in the case these gravitational modes are massive and stable.

[ { "created": "Thu, 29 Jun 2006 13:51:32 GMT", "version": "v1" } ]

2008-11-26

[ [ "Cornou", "J. L.", "" ], [ "Pajer", "E.", "" ], [ "Sturani", "R.", "" ] ]

Fundamental superstrings (F-strings) and D-strings may be produced at high temperature in the early Universe. Assuming that, we investigate if any of the instabilities present in systems of strings and branes can give rise to a phenomenologically interesting production of gravitons. We focus on D-strings and find that D-string recombination is a far too weak process for both astrophysical and cosmological sources. On the other hand if D-strings annihilate they mostly produce massive closed string remnants and a characteristic spectrum of gravitational modes is produced by the remnant decay, which may be phenomenologically interesting in the case these gravitational modes are massive and stable.

13.331372

13.578847

12.060284

12.66041

13.880507

12.945977

12.829304

12.866714

13.010163

12.830542

13.004963

12.847105

12.494967

12.848498

12.433529

12.827954

13.156335

13.142933

12.685355

13.298925

12.19591

hep-th/0703251

Amitabh Virmani

Donald Marolf, Amitabh Virmani

Holographic Renormalization of Gravity in Little String Theory Duals

29 pages; v2 refs added; v3 typos fixed

JHEP 0706:042,2007

10.1088/1126-6708/2007/06/042

null

hep-th

null

We perform a holographic renormalization of gravity duals to little string theories. In particular, we construct counterterms which yield a well-defined type II action for NS-sector linear dilaton backgrounds. Our methods are based on a similar recent construction in asymptotically flat spacetimes, and our work demonstrates in detail the parallels between asymptotically flat and linear dilaton boundary conditions. The counterterms guarantee that (i) the on-shell action is finite and (ii) asymptotically linear dilaton solutions are stationary points of the action under all boundary condition preserving variations. We use the resulting action to compute a boundary stress tensor and the associated conserved charges.

[ { "created": "Wed, 28 Mar 2007 08:20:21 GMT", "version": "v1" }, { "created": "Mon, 30 Apr 2007 17:00:08 GMT", "version": "v2" }, { "created": "Wed, 13 Jun 2007 18:05:09 GMT", "version": "v3" } ]

2010-10-27

[ [ "Marolf", "Donald", "" ], [ "Virmani", "Amitabh", "" ] ]

We perform a holographic renormalization of gravity duals to little string theories. In particular, we construct counterterms which yield a well-defined type II action for NS-sector linear dilaton backgrounds. Our methods are based on a similar recent construction in asymptotically flat spacetimes, and our work demonstrates in detail the parallels between asymptotically flat and linear dilaton boundary conditions. The counterterms guarantee that (i) the on-shell action is finite and (ii) asymptotically linear dilaton solutions are stationary points of the action under all boundary condition preserving variations. We use the resulting action to compute a boundary stress tensor and the associated conserved charges.

8.192834

8.808029

8.786952

7.770609

9.076442

8.488485

8.445935

7.991858

8.152645

9.68661

7.678837

7.449214

8.235951

7.662506

7.844569

7.741917

7.728734

7.962203

7.652761

8.147088

7.525261

hep-th/9606068

Fedor Smirnov

O. Babelon, D. Bernard, F.A. Smirnov

Null-vectors in Integrable Field Theory

36 pages, Latex

Commun.Math.Phys.186:601-648,1997

10.1007/s002200050122

null

hep-th

null

The form factor bootstrap approach allows to construct the space of local fields in the massive restricted sine-Gordon model. This space has to be isomorphic to that of the corresponding minimal model of conformal field theory. We describe the subspaces which correspond to the Verma modules of primary fields in terms of the commutative algebra of local integrals of motion and of a fermion (Neveu-Schwarz or Ramond depending on the particular primary field). The description of null-vectors relies on the relation between form factors and deformed hyper-elliptic integrals. The null-vectors correspond to the deformed exact forms and to the deformed Riemann bilinear identity. In the operator language, the null-vectors are created by the action of two operators $\CQ$ (linear in the fermion) and $\CC$ (quadratic in the fermion). We show that by factorizing out the null-vectors one gets the space of operators with the correct character. In the classical limit, using the operators $\CQ$ and $\CC$ we obtain a new, very compact, description of the KdV hierarchy. We also discuss a beautiful relation with the method of Whitham.

[ { "created": "Wed, 12 Jun 1996 16:03:30 GMT", "version": "v1" }, { "created": "Wed, 19 Feb 1997 12:37:31 GMT", "version": "v2" } ]

2008-11-26

[ [ "Babelon", "O.", "" ], [ "Bernard", "D.", "" ], [ "Smirnov", "F. A.", "" ] ]

The form factor bootstrap approach allows to construct the space of local fields in the massive restricted sine-Gordon model. This space has to be isomorphic to that of the corresponding minimal model of conformal field theory. We describe the subspaces which correspond to the Verma modules of primary fields in terms of the commutative algebra of local integrals of motion and of a fermion (Neveu-Schwarz or Ramond depending on the particular primary field). The description of null-vectors relies on the relation between form factors and deformed hyper-elliptic integrals. The null-vectors correspond to the deformed exact forms and to the deformed Riemann bilinear identity. In the operator language, the null-vectors are created by the action of two operators $\CQ$ (linear in the fermion) and $\CC$ (quadratic in the fermion). We show that by factorizing out the null-vectors one gets the space of operators with the correct character. In the classical limit, using the operators $\CQ$ and $\CC$ we obtain a new, very compact, description of the KdV hierarchy. We also discuss a beautiful relation with the method of Whitham.

8.851518

8.79253

9.858679

7.968323

8.364014

8.978519

9.214275

8.380906

8.822553

10.651985

8.344172

8.241372

9.459282

8.099902

8.023369

8.082475

8.129724

8.202497

8.2548

8.948303

8.033995

hep-th/9412055

D'Hoker

Eric D'Hoker, Pierre Sikivie and Youli Kanev

Casimir Forces between Beads on Strings and Membranes

Plain Tex, Tables.tex macro required, 9 pages

Phys.Lett. B347 (1995) 56-62

10.1016/0370-2693(95)00050-U

UCLA/94/TEP/44 and UFIFT-HEP-94-17

hep-th cond-mat

null

We develop a general formalism to calculate the force between beads attached to a flat $d$-dimensional membrane due to the quantum fluctuations of the membrane. The interaction potential is derived as a function of $d$ and the membrane energy density, tension, stiffness and temperature. We find that the induced interactions turn off when $d$ exceeds a certain critical dimension. The potential is attractive in all cases where it is non-zero and at finite temperature falls off exponentially for large distances.

[ { "created": "Tue, 6 Dec 1994 04:33:35 GMT", "version": "v1" } ]

2009-10-28

[ [ "D'Hoker", "Eric", "" ], [ "Sikivie", "Pierre", "" ], [ "Kanev", "Youli", "" ] ]

We develop a general formalism to calculate the force between beads attached to a flat $d$-dimensional membrane due to the quantum fluctuations of the membrane. The interaction potential is derived as a function of $d$ and the membrane energy density, tension, stiffness and temperature. We find that the induced interactions turn off when $d$ exceeds a certain critical dimension. The potential is attractive in all cases where it is non-zero and at finite temperature falls off exponentially for large distances.

10.306359

9.314732

9.575582

9.43944

10.162147

10.584186

10.357783

9.93843

9.320537

11.390689

9.169776

9.940418

9.528204

9.326182

9.250864

9.356398

9.198899

9.760915

9.848237

9.698667

9.566162

hep-th/0209005

Lahouari Mesref

L. Mesref

A Map between q-deformed and ordinary Gauge Theories

Latex,15 pages, references added and some misprints corrected

New J.Phys. 5 (2003) 7

10.1088/1367-2630/5/1/307

null

hep-th

null

In complete analogy with Seiberg-Witten map defined in noncommutative geometry we introduce a new map between a q-deformed gauge theory and an ordinary gauge theory. The construction of this map is elaborated in order to fit the Hopf algebra structure.

[ { "created": "Sat, 31 Aug 2002 17:14:28 GMT", "version": "v1" }, { "created": "Thu, 12 Sep 2002 13:37:33 GMT", "version": "v2" }, { "created": "Mon, 23 Sep 2002 16:00:32 GMT", "version": "v3" }, { "created": "Thu, 17 Apr 2003 14:35:36 GMT", "version": "v4" } ]

2009-11-07

[ [ "Mesref", "L.", "" ] ]

In complete analogy with Seiberg-Witten map defined in noncommutative geometry we introduce a new map between a q-deformed gauge theory and an ordinary gauge theory. The construction of this map is elaborated in order to fit the Hopf algebra structure.

11.452897

8.321961

8.886045

7.849667

8.311204

7.941842

8.73675

7.641194

8.358095

11.149467

8.147251

8.428847

9.221752

8.576717

8.257003

8.510421

8.569757

8.372478

8.906864

9.48687

9.073285

2206.05951

Ma-Ke Yuan

Yilu Shao, Ma-Ke Yuan, Yang Zhou

Entanglement Negativity and Defect Extremal Surface

null

SciPost Phys. Core 7, 027 (2024)

10.21468/SciPostPhysCore.7.2.027

null

hep-th cond-mat.str-el gr-qc

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

We study entanglement negativity for evaporating black hole based on the holographic model with defect brane. We introduce a defect extremal surface formula for entanglement negativity. Based on partial reduction, we show the equivalence between defect extremal surface formula and island formula for entanglement negativity in AdS$_3$/BCFT$_2$. Extending the study to the model of eternal black hole plus CFT bath, we find that black hole-black hole negativity decreases until vanishing, left black hole-left radiation negativity is always a constant, radiation-radiation negativity increases and then saturates at a time later than Page time. In all the time dependent cases, defect extremal surface formula agrees with island formula.

[ { "created": "Mon, 13 Jun 2022 07:46:25 GMT", "version": "v1" }, { "created": "Sun, 3 Sep 2023 12:13:47 GMT", "version": "v2" }, { "created": "Mon, 11 Mar 2024 12:17:42 GMT", "version": "v3" }, { "created": "Sun, 14 Jul 2024 02:50:48 GMT", "version": "v4" } ]

2024-07-16

[ [ "Shao", "Yilu", "" ], [ "Yuan", "Ma-Ke", "" ], [ "Zhou", "Yang", "" ] ]

We study entanglement negativity for evaporating black hole based on the holographic model with defect brane. We introduce a defect extremal surface formula for entanglement negativity. Based on partial reduction, we show the equivalence between defect extremal surface formula and island formula for entanglement negativity in AdS$_3$/BCFT$_2$. Extending the study to the model of eternal black hole plus CFT bath, we find that black hole-black hole negativity decreases until vanishing, left black hole-left radiation negativity is always a constant, radiation-radiation negativity increases and then saturates at a time later than Page time. In all the time dependent cases, defect extremal surface formula agrees with island formula.

11.526501

9.644966

12.045551

9.289889

9.406296

9.625526

9.801011

9.535301

8.97217

14.341627

9.728992

9.996117

11.360053

10.014565

10.378672

10.526364

10.298057

9.761022

10.198076

11.286635

9.865305

hep-th/9612042

Kiyoshi Kamimura

J. Gomis, K.Kamimura and R.Kuriki

Nambu-Goldstone Fields, Anomalies and WZ Terms

19 pages, Latex

Nucl.Phys. B496 (1997) 465-485

10.1016/S0550-3213(97)00241-1

UTTG-18-96, UB-ECM-PF 96/19, TOHO-FP-9654, TIT/HEP-347

hep-th

null

We construct the Wess-Zumino terms from anomalies in case of quasigroups for the following situations. One is effective gauge field theories of Nambu-Goldstone fields associated with spontaneously broken global symmetries and the other is anomalous gauge theories. The formalism that we will develop can be seen as a generalization of the non-linear realization method of Lie groups. As an example we consider 2d gravity with a Weyl invariant regularization

[ { "created": "Wed, 4 Dec 1996 04:34:56 GMT", "version": "v1" }, { "created": "Thu, 5 Dec 1996 03:02:33 GMT", "version": "v2" } ]

2009-10-30

[ [ "Gomis", "J.", "" ], [ "Kamimura", "K.", "" ], [ "Kuriki", "R.", "" ] ]

We construct the Wess-Zumino terms from anomalies in case of quasigroups for the following situations. One is effective gauge field theories of Nambu-Goldstone fields associated with spontaneously broken global symmetries and the other is anomalous gauge theories. The formalism that we will develop can be seen as a generalization of the non-linear realization method of Lie groups. As an example we consider 2d gravity with a Weyl invariant regularization

11.811448

11.883349

13.092545

11.094474

11.820294

11.330553

11.441895

10.643413

11.03585

13.481573

10.398915

10.803099

12.13927

11.249354

10.90042

11.173138

11.159624

11.083783

11.357121

11.446256

10.851171

hep-th/9207010

null

Katsushi Ito, Jens Ole Madsen and Jens Lyng Petersen

Free Field Representations and Screening Operators for the $N=4$ Doubly Extended Superconformal Algebras

15 pages, Latex

Phys.Lett. B292 (1992) 298-306

10.1016/0370-2693(92)91179-D

NBI-HE-92-43

hep-th

null

We present explicit free field representations for the $N=4$ doubly extended superconformal algebra, $\tilde{\cal{A}}_{\gamma}$. This algebra generalizes and contains all previous $N=4$ superconformal algebras. We have found $\tilde{\cal{A}}_{\gamma}$ to be obtained by hamiltonian reduction of the Lie superalgebra $D(2|1;\alpha)$. In addition, screening operators are explicitly given and the associated singular vectors identified. We use this to present a natural conjecture for the Kac determinant generalizing a previous conjecture by Kent and Riggs for the singly extended case. The results support and illuminate several aspects of the characters of this algebra previously obtained by Taormina and one of us.

[ { "created": "Fri, 3 Jul 1992 15:21:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ito", "Katsushi", "" ], [ "Madsen", "Jens Ole", "" ], [ "Petersen", "Jens Lyng", "" ] ]

We present explicit free field representations for the $N=4$ doubly extended superconformal algebra, $\tilde{\cal{A}}_{\gamma}$. This algebra generalizes and contains all previous $N=4$ superconformal algebras. We have found $\tilde{\cal{A}}_{\gamma}$ to be obtained by hamiltonian reduction of the Lie superalgebra $D(2|1;\alpha)$. In addition, screening operators are explicitly given and the associated singular vectors identified. We use this to present a natural conjecture for the Kac determinant generalizing a previous conjecture by Kent and Riggs for the singly extended case. The results support and illuminate several aspects of the characters of this algebra previously obtained by Taormina and one of us.

9.27822

9.379551

9.938556

8.628085

8.427798

8.30399

8.728665

8.234871

8.175692

10.709979

7.954043

8.368868

9.223184

8.375032

8.80329

8.674991

8.768698

8.158705

8.634624

8.991291

8.428855

1912.10779

Paulo Jos\'e Ferreira Porf\'irio Da Silva

J. R. Nascimento, Gonzalo J. Olmo, P. J. Porf\'irio, A. Yu. Petrov, A. R. Soares

Nonlinear $\sigma$-models in the Eddington-inspired Born-Infeld Gravity

19 pages, 5 figures

Phys. Rev. D 101, 064043 (2020)

10.1103/PhysRevD.101.064043

null

hep-th gr-qc

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

In this paper we consider two different nonlinear $\sigma$-models minimally coupled to Eddington-inspired Born-Infeld gravity. We show that the resultant geometries represent minimal modifications with respect to those found in GR, though with important physical consequences. In particular, wormhole structures always arise, though this does not guarantee by itself the geodesic completeness of those space-times. In one of the models, quadratic in the canonical kinetic term, we identify a subset of solutions which are regular everywhere and are geodesically complete. We discuss characteristic features of these solutions and their dependence on the relationship between mass and global charge.

[ { "created": "Mon, 23 Dec 2019 13:02:01 GMT", "version": "v1" } ]

2020-03-25

[ [ "Nascimento", "J. R.", "" ], [ "Olmo", "Gonzalo J.", "" ], [ "Porfírio", "P. J.", "" ], [ "Petrov", "A. Yu.", "" ], [ "Soares", "A. R.", "" ] ]

In this paper we consider two different nonlinear $\sigma$-models minimally coupled to Eddington-inspired Born-Infeld gravity. We show that the resultant geometries represent minimal modifications with respect to those found in GR, though with important physical consequences. In particular, wormhole structures always arise, though this does not guarantee by itself the geodesic completeness of those space-times. In one of the models, quadratic in the canonical kinetic term, we identify a subset of solutions which are regular everywhere and are geodesically complete. We discuss characteristic features of these solutions and their dependence on the relationship between mass and global charge.

11.983895

11.233528

10.33349

10.638219

11.544812

10.744984

11.731524

10.86883

10.944667

10.370121

11.200999

10.753346

10.33182

10.606504

10.636147

11.087287

11.098199

10.431937

10.887875

10.764938

10.822875

hep-th/9309022

Hector DE Vega

H. J. de Vega and A. Gonz\'alez--Ruiz

Exact solution of the $SU_{q}(n)$ invariant quantum spin chains

29 pages

Nucl.Phys. B417 (1994) 553-578

10.1016/0550-3213(94)90484-7

LPTHE 93-38

hep-th math.QA

null

The Nested Bethe Ansatz is generalized to open boundary conditions. This is used to find the exact eigenvectors and eigenvalues of the $A_{n-1}$ vertex model with fixed open boundary conditions and the corresponding $SU_{q}(n)$ invariant hamiltonian. The Bethe Ansatz equations obtained are solved in the thermodynamic limit giving the vertex model free energy and the hamiltonian ground state energy including the corresponding boundary contributions.

[ { "created": "Fri, 3 Sep 1993 14:39:36 GMT", "version": "v1" } ]

2009-10-22

[ [ "de Vega", "H. J.", "" ], [ "González--Ruiz", "A.", "" ] ]

The Nested Bethe Ansatz is generalized to open boundary conditions. This is used to find the exact eigenvectors and eigenvalues of the $A_{n-1}$ vertex model with fixed open boundary conditions and the corresponding $SU_{q}(n)$ invariant hamiltonian. The Bethe Ansatz equations obtained are solved in the thermodynamic limit giving the vertex model free energy and the hamiltonian ground state energy including the corresponding boundary contributions.

8.049354

6.664325

10.676386

6.96863

7.952862

7.580227

6.866021

6.593346

6.914138

9.681148

7.288157

7.469135

8.614366

7.872617

7.933753

7.447036

7.831732

7.720162

7.642183

8.934417

7.69113

2101.03953

Akimi Watanabe

Koichi Harada, Yutaka Matsuo, Go Noshita and Akimi Watanabe

$q$-Deformation of Corner Vertex Operator Algebras by Miura Transformation

53 pages; typos corrected, references added

null

10.1007/JHEP04(2021)202

null

hep-th math-ph math.MP math.QA

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

Recently, Gaiotto and Rapcak proposed a generalization of $W_N$ algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra). The algebra, denoted as $Y_{L,M,N}$, is characterized by three non-negative integers $L, M, N$. It has a manifest triality automorphism which interchanges $L, M, N$, and can be obtained as a reduction of $W_{1+\infty}$ through a "pit" in the plane partition representation. Later, Prochazka and Rapcak proposed a representation of $Y_{L,M,N}$ in terms of $L+M+N$ free bosons through a generalization of Miura transformation, where they use the fractional power differential operators. In this paper, we derive a $q$-deformation of their Miura transformation. It gives the free field representation for $q$-deformed $Y_{L,M,N}$, which is obtained as a reduction of the quantum toroidal algebra. We find that the $q$-deformed version has a "simpler" structure than the original one because of the Miki duality in the quantum toroidal algebra. For instance, one can find a direct correspondence between the operators obtained by the Miura transformation and those of the quantum toroidal algebra. Furthermore, we can show that the screening charges of both the symmetries are identical.

[ { "created": "Mon, 11 Jan 2021 15:10:22 GMT", "version": "v1" }, { "created": "Tue, 19 Jan 2021 12:42:21 GMT", "version": "v2" }, { "created": "Thu, 18 Mar 2021 14:36:10 GMT", "version": "v3" } ]

2021-05-12

[ [ "Harada", "Koichi", "" ], [ "Matsuo", "Yutaka", "" ], [ "Noshita", "Go", "" ], [ "Watanabe", "Akimi", "" ] ]

Recently, Gaiotto and Rapcak proposed a generalization of $W_N$ algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra). The algebra, denoted as $Y_{L,M,N}$, is characterized by three non-negative integers $L, M, N$. It has a manifest triality automorphism which interchanges $L, M, N$, and can be obtained as a reduction of $W_{1+\infty}$ through a "pit" in the plane partition representation. Later, Prochazka and Rapcak proposed a representation of $Y_{L,M,N}$ in terms of $L+M+N$ free bosons through a generalization of Miura transformation, where they use the fractional power differential operators. In this paper, we derive a $q$-deformation of their Miura transformation. It gives the free field representation for $q$-deformed $Y_{L,M,N}$, which is obtained as a reduction of the quantum toroidal algebra. We find that the $q$-deformed version has a "simpler" structure than the original one because of the Miki duality in the quantum toroidal algebra. For instance, one can find a direct correspondence between the operators obtained by the Miura transformation and those of the quantum toroidal algebra. Furthermore, we can show that the screening charges of both the symmetries are identical.

6.149517

5.908086

7.344297

5.692109

6.154154

6.349769

5.861991

5.976508

6.058138

8.477761

5.97394

5.943481

6.428603

5.940398

5.977402

5.832914

5.915254

5.973387

5.934777

6.434101

5.806767

hep-th/9510130

Neil Lambert

N.D. Lambert

Two Loop Renormalization of Massive (p,q) Supersymmetric Sigma Models

43 pages phyzzx with 5 figures

Nucl.Phys. B469 (1996) 68-92

10.1016/0550-3213(96)00152-6

DAMTP R/94/42

hep-th

null

We calculate the beta-functions of the general massive (p,q) supersymmetric sigma model to two loop order using (1,0) superfields. The conditions for finiteness are discussed in relation to (p,q) supersymmetry. We also calculate the effective potential using component fields to one loop order and consider the possibility of perturbative breaking of supersymmetry. The effect of one loop finite local counter terms and the ultra-violet behaviour of the off-shell (p,q) models to all orders in perturbation theory are also addressed.

[ { "created": "Wed, 18 Oct 1995 14:58:18 GMT", "version": "v1" } ]

2009-10-28

[ [ "Lambert", "N. D.", "" ] ]

We calculate the beta-functions of the general massive (p,q) supersymmetric sigma model to two loop order using (1,0) superfields. The conditions for finiteness are discussed in relation to (p,q) supersymmetry. We also calculate the effective potential using component fields to one loop order and consider the possibility of perturbative breaking of supersymmetry. The effect of one loop finite local counter terms and the ultra-violet behaviour of the off-shell (p,q) models to all orders in perturbation theory are also addressed.

8.337798

7.624622

8.216846

7.385162

7.449609

7.370739

7.502079

7.523695

7.433156

9.782036

7.847442

7.711423

8.875605

7.988467

8.001207

7.759408

7.618297

7.77725

7.812057

8.939178

7.843897

1501.00004

Zhang-Yu Nie

Zhang-Yu Nie, Rong-Gen Cai, Xin Gao, Li Li, Hui Zeng

Phase transitions in a holographic s+p model with backreaction

15 pages(two-column), 9 figures

Eur.Phys.J. C75 (2015) 559

10.1140/epjc/s10052-015-3773-2

CCTP-2015-01,CCQCN-2015-59

hep-th cond-mat.supr-con gr-qc

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

In a previous paper (arXiv:1309.2204, JHEP 1311 (2013) 087), we present a holographic s+p superconductor model with a scalar triplet charged under an SU(2) gauge field in the bulk. We also study the competition and coexistence of the s-wave and p-wave orders in the probe limit. In this work we continue to study the model by considering the full back-reaction The model shows a rich phase structure and various condensate behaviors such as the "n-type" and "u-type" ones, which are also known as reentrant phase transitions in condensed matter physics. The phase transitions to the p-wave phase or s+p coexisting phase become first order in strong back-reaction cases. In these first order phase transitions, the free energy curve always forms a swallow tail shape, in which the unstable s+p solution can also play an important role. The phase diagrams of this model are given in terms of the dimension of the scalar order and the temperature in the cases of eight different values of the back reaction parameter, which show that the region for the s+p coexisting phase is enlarged with a small or medium back reaction parameter, but is reduced in the strong back-reaction cases.

[ { "created": "Tue, 30 Dec 2014 21:00:06 GMT", "version": "v1" }, { "created": "Tue, 1 Dec 2015 15:46:03 GMT", "version": "v2" } ]

2017-12-27

[ [ "Nie", "Zhang-Yu", "" ], [ "Cai", "Rong-Gen", "" ], [ "Gao", "Xin", "" ], [ "Li", "Li", "" ], [ "Zeng", "Hui", "" ] ]

In a previous paper (arXiv:1309.2204, JHEP 1311 (2013) 087), we present a holographic s+p superconductor model with a scalar triplet charged under an SU(2) gauge field in the bulk. We also study the competition and coexistence of the s-wave and p-wave orders in the probe limit. In this work we continue to study the model by considering the full back-reaction The model shows a rich phase structure and various condensate behaviors such as the "n-type" and "u-type" ones, which are also known as reentrant phase transitions in condensed matter physics. The phase transitions to the p-wave phase or s+p coexisting phase become first order in strong back-reaction cases. In these first order phase transitions, the free energy curve always forms a swallow tail shape, in which the unstable s+p solution can also play an important role. The phase diagrams of this model are given in terms of the dimension of the scalar order and the temperature in the cases of eight different values of the back reaction parameter, which show that the region for the s+p coexisting phase is enlarged with a small or medium back reaction parameter, but is reduced in the strong back-reaction cases.

8.730655

8.249138

8.626715

7.90021

8.436672

8.413121

7.871922

8.009791

8.00105

9.455924

8.206074

8.37736

8.652381

8.491161

8.175548

8.247044

8.118651

8.335617

8.233391

8.754091

8.30457

1509.07790

Yi Yin

Yuji Hirono, Dmitri Kharzeev and Yi Yin

Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly

21 pages, 4 figures, published version

Phys. Rev. D 92, 125031 (2015)

10.1103/PhysRevD.92.125031

null

hep-th cond-mat.soft hep-ph nucl-th

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

For systems with charged chiral fermions, the imbalance of chirality in the presence of magnetic field generates an electric current - this is the Chiral Magnetic Effect (CME). We study the dynamical real-time evolution of electromagnetic fields coupled by the anomaly to the chiral charge density and the CME current by solving the Maxwell-Chern-Simons equations. We find that the CME induces the inverse cascade of magnetic helicity towards the large distances, and that at late times this cascade becomes self-similar, with universal exponents. We also find that in terms of gauge field topology the inverse cascade represents the transition from linked electric and magnetic fields (Hopfions) to the knotted configuration of magnetic field (Chandrasekhar-Kendall states). The magnetic reconnections are accompanied by the pulses of the CME current directed along the magnetic field lines. We devise an experimental signature of these phenomena in heavy ion collisions, and speculate about implications for condensed matter systems.

[ { "created": "Fri, 25 Sep 2015 16:59:05 GMT", "version": "v1" }, { "created": "Thu, 28 Jan 2016 13:03:23 GMT", "version": "v2" } ]

2016-01-29

[ [ "Hirono", "Yuji", "" ], [ "Kharzeev", "Dmitri", "" ], [ "Yin", "Yi", "" ] ]

For systems with charged chiral fermions, the imbalance of chirality in the presence of magnetic field generates an electric current - this is the Chiral Magnetic Effect (CME). We study the dynamical real-time evolution of electromagnetic fields coupled by the anomaly to the chiral charge density and the CME current by solving the Maxwell-Chern-Simons equations. We find that the CME induces the inverse cascade of magnetic helicity towards the large distances, and that at late times this cascade becomes self-similar, with universal exponents. We also find that in terms of gauge field topology the inverse cascade represents the transition from linked electric and magnetic fields (Hopfions) to the knotted configuration of magnetic field (Chandrasekhar-Kendall states). The magnetic reconnections are accompanied by the pulses of the CME current directed along the magnetic field lines. We devise an experimental signature of these phenomena in heavy ion collisions, and speculate about implications for condensed matter systems.

8.849036

9.249834

8.784815

7.844096

8.719587

9.633865

8.919901

8.973271

8.376813

9.561107

8.826785

8.784785

8.857976

8.510581

8.897544

8.954584

8.929987

8.813465

8.44293

8.974183

8.300584

0907.1178

Zhang Li-Jie

Li-Jie Zhang, Guo-Hong Yang

Zero Modes of Matter Fields on Scalar Flat Thick Branes

11 pages,no figures

null

10.1142/S0217732309030515

null

hep-th

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

Zero modes of various matters with spin 0, 1 and 1/2 on a class of scalar flat thick branes are discussed in this paper. We show that scalar field with spin 0 is localized on all thick branes without additional condition, while spin 1 vector field is not localized. In addition, for spin 1/2 fermionic field, the zero mode is localized on the branes under certain conditions.

[ { "created": "Tue, 7 Jul 2009 09:47:44 GMT", "version": "v1" } ]

2015-05-13

[ [ "Zhang", "Li-Jie", "" ], [ "Yang", "Guo-Hong", "" ] ]

Zero modes of various matters with spin 0, 1 and 1/2 on a class of scalar flat thick branes are discussed in this paper. We show that scalar field with spin 0 is localized on all thick branes without additional condition, while spin 1 vector field is not localized. In addition, for spin 1/2 fermionic field, the zero mode is localized on the branes under certain conditions.

10.054927

7.344504

8.199657

7.345843

8.771669

8.024844

7.926816

7.245594

7.212739

7.872538

8.372053

7.550201

8.098135

7.811742

7.487166

7.790594

7.903169

7.604955

7.802821

7.760781

8.653666

hep-th/0209118

Paolo Valtancoli

Noncommutative instantons on $d=2n$ planes from matrix models

20 pages, LaTeX, no figures

Int.J.Mod.Phys. A18 (2003) 1125

10.1142/S0217751X03013648

null

hep-th

null

In the case of an invertible coordinate commutator matrix $\theta_{ij}$, we derive a general instanton solution of the noncommutative gauge theories on $d=2n$ planes given in terms of $n$ oscillators.

[ { "created": "Fri, 13 Sep 2002 18:51:18 GMT", "version": "v1" }, { "created": "Sun, 15 Sep 2002 20:08:59 GMT", "version": "v2" }, { "created": "Thu, 19 Sep 2002 14:23:47 GMT", "version": "v3" } ]

2009-11-07

[ [ "Valtancoli", "Paolo", "" ] ]

In the case of an invertible coordinate commutator matrix $\theta_{ij}$, we derive a general instanton solution of the noncommutative gauge theories on $d=2n$ planes given in terms of $n$ oscillators.

17.834019

15.16143

16.259407

14.624521

15.885468

14.913402

17.771887

16.587257

13.777514

19.489861

14.547914

13.596589

14.301765

13.371203

13.545438

13.343408

13.529506

12.887698

14.062626

14.813046

13.609928

0902.2223

Maciej A. Nowak

Jean-Paul Blaizot and Maciej A. Nowak

Universal shocks in random matrix theory

4 pages, no figures

Phys.Rev.E82:051115,2010

10.1103/PhysRevE.82.051115

null

hep-th

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

We link the appearance of universal kernels in random matrix ensembles to the phenomenon of shock formation in some fluid dynamical equations. Such equations are derived from Dyson's random walks after a proper rescaling of the time. In the case of the Gaussian Unitary Ensemble, on which we focus in this letter, we show that the orthogonal polynomials, and their Cauchy transforms, evolve according to a viscid Burgers equation with an effective "spectral viscosity" $\nu_s=1/2N$, where $N$ is the size of the matrices. We relate the edge of the spectrum of eigenvalues to the shock that naturally appears in the Burgers equation for appropriate initial conditions, thereby obtaining a new perspective on universality.

[ { "created": "Thu, 12 Feb 2009 22:06:44 GMT", "version": "v1" } ]

2011-02-28

[ [ "Blaizot", "Jean-Paul", "" ], [ "Nowak", "Maciej A.", "" ] ]

We link the appearance of universal kernels in random matrix ensembles to the phenomenon of shock formation in some fluid dynamical equations. Such equations are derived from Dyson's random walks after a proper rescaling of the time. In the case of the Gaussian Unitary Ensemble, on which we focus in this letter, we show that the orthogonal polynomials, and their Cauchy transforms, evolve according to a viscid Burgers equation with an effective "spectral viscosity" $\nu_s=1/2N$, where $N$ is the size of the matrices. We relate the edge of the spectrum of eigenvalues to the shock that naturally appears in the Burgers equation for appropriate initial conditions, thereby obtaining a new perspective on universality.

9.819041

11.420831

11.186384

9.445143

9.701397

10.159563

10.065118

9.954677

10.211712

11.717849

9.512359

9.377614

9.792439

9.631916

9.695873

9.418848

9.774503

9.693883

9.713745

9.90601

9.33677

2206.11806

Stefan Prohazka

Jos\'e Figueroa-O'Farrill, Ross Grassie and Stefan Prohazka

Lifshitz symmetry: Lie algebras, spacetimes and particles

30 pages, 2 figures. (v2: added some references and acknowledgments, v3: various minor updates)

SciPost Phys. 14, 035 (2023)

10.21468/SciPostPhys.14.3.035

EMPG-22-09

hep-th cond-mat.str-el gr-qc math.DG

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

We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits ("particles") of Lie groups generated by spatial rotations, temporal and spatial translations and an additional scalar generator. As a first step we classify Lie algebras of this type in arbitrary dimension. Among them is the prototypical Lifshitz algebra, which motivates this work and the name "Lifshitz Lie algebras". We classify homogeneous spacetimes of Lifshitz Lie groups. Depending on the interpretation of the additional scalar generator, these spacetimes fall into three classes: (1) ($d+2$)-dimensional Lifshitz spacetimes which have one additional holographic direction; (2) ($d+1$)-dimensional Lifshitz--Weyl spacetimes which can be seen as the boundary geometry of the spacetimes in (1) and where the scalar generator is interpreted as an anisotropic dilation; and (3) ($d+1$)-dimensional aristotelian spacetimes with one scalar charge, including exotic fracton-like symmetries that generalise multipole algebras. We also classify the possible central extensions of Lifshitz Lie algebras and we discuss the homogeneous symplectic manifolds of Lifshitz Lie groups in terms of coadjoint orbits.

[ { "created": "Thu, 23 Jun 2022 16:25:17 GMT", "version": "v1" }, { "created": "Tue, 12 Jul 2022 08:15:10 GMT", "version": "v2" }, { "created": "Tue, 4 Oct 2022 14:43:50 GMT", "version": "v3" } ]

2023-03-15

[ [ "Figueroa-O'Farrill", "José", "" ], [ "Grassie", "Ross", "" ], [ "Prohazka", "Stefan", "" ] ]

We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits ("particles") of Lie groups generated by spatial rotations, temporal and spatial translations and an additional scalar generator. As a first step we classify Lie algebras of this type in arbitrary dimension. Among them is the prototypical Lifshitz algebra, which motivates this work and the name "Lifshitz Lie algebras". We classify homogeneous spacetimes of Lifshitz Lie groups. Depending on the interpretation of the additional scalar generator, these spacetimes fall into three classes: (1) ($d+2$)-dimensional Lifshitz spacetimes which have one additional holographic direction; (2) ($d+1$)-dimensional Lifshitz--Weyl spacetimes which can be seen as the boundary geometry of the spacetimes in (1) and where the scalar generator is interpreted as an anisotropic dilation; and (3) ($d+1$)-dimensional aristotelian spacetimes with one scalar charge, including exotic fracton-like symmetries that generalise multipole algebras. We also classify the possible central extensions of Lifshitz Lie algebras and we discuss the homogeneous symplectic manifolds of Lifshitz Lie groups in terms of coadjoint orbits.

5.528985

6.30244

6.587275

6.103573

6.070111

6.188768

6.527776

6.338931

6.167623

7.078914

5.914922

5.673923

5.829656

5.540096

5.753938

5.710639

5.570041

5.613594

5.585288

5.913347

5.630142

0706.3147

W. A. Sabra

Jan B. Gutowski and Wafic A. Sabra

Half-Supersymmetric Solutions in Five-Dimensional Supergravity

56 pages, reference added, typos corrected

JHEP 0712:025,2007; Erratum-ibid.1004:042,2010

10.1088/1126-6708/2007/12/025 10.1007/JHEP04(2010)042

null

hep-th

null

We present a systematic classification of half-supersymmetric solutions of gauged N=2, D=5 supergravity coupled to an arbitrary number of abelian vector multiplets for which at least one of the Killing spinors generate a time-like Killing vector.

[ { "created": "Thu, 21 Jun 2007 13:37:40 GMT", "version": "v1" }, { "created": "Wed, 5 Dec 2007 15:08:44 GMT", "version": "v2" } ]

2014-11-18

[ [ "Gutowski", "Jan B.", "" ], [ "Sabra", "Wafic A.", "" ] ]

We present a systematic classification of half-supersymmetric solutions of gauged N=2, D=5 supergravity coupled to an arbitrary number of abelian vector multiplets for which at least one of the Killing spinors generate a time-like Killing vector.

5.872238

3.088832

6.871506

3.4991

2.883943

3.379347

3.049947

3.462965

3.579158

6.498455

3.684062

4.336361

5.530553

4.507782

4.445158

4.364098

4.364777

4.636488

4.705475

5.865536

4.536853

1605.05165

Ashok Das

Ashok Das and Pushpa Kalauni

Operator description for thermal quantum field theories on an arbitrary path in the real time formalism

10 pages, 1 figure, figure corrected

Phys. Rev. D 93, 125028 (2016)

10.1103/PhysRevD.93.125028

null

hep-th

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

We develop an operator description, much like thermofield dynamics, for quantum field theories on a real time path with an arbitrary parameter $\sigma\,(0\leq\sigma\leq\beta)$. We point out new features which arise when $\sigma\neq \frac{\beta}{2}$ in that the Hilbert space develops a natural, modified inner product different from the standard Dirac inner product. We construct the Bogoliubov transformation which connects the doubled vacuum state at zero temperature to the thermal vacuum in this case. We obtain the thermal Green's function (propagator) for the real massive Klein-Gordon theory as an expectation value in this thermal vacuum (with a modified inner product). The factorization of the thermal Green's function follows from this analysis. We also discuss, in the main text as well as in two appendices, various other interesting features which arise in such a description.

[ { "created": "Tue, 17 May 2016 13:47:02 GMT", "version": "v1" }, { "created": "Wed, 18 May 2016 13:35:35 GMT", "version": "v2" } ]

2016-06-29

[ [ "Das", "Ashok", "" ], [ "Kalauni", "Pushpa", "" ] ]

We develop an operator description, much like thermofield dynamics, for quantum field theories on a real time path with an arbitrary parameter $\sigma\,(0\leq\sigma\leq\beta)$. We point out new features which arise when $\sigma\neq \frac{\beta}{2}$ in that the Hilbert space develops a natural, modified inner product different from the standard Dirac inner product. We construct the Bogoliubov transformation which connects the doubled vacuum state at zero temperature to the thermal vacuum in this case. We obtain the thermal Green's function (propagator) for the real massive Klein-Gordon theory as an expectation value in this thermal vacuum (with a modified inner product). The factorization of the thermal Green's function follows from this analysis. We also discuss, in the main text as well as in two appendices, various other interesting features which arise in such a description.

8.317555

8.442385

8.223633

8.175055

8.782086

8.402777

8.171247

8.209021

7.9755

8.490653

8.416274

7.919513

8.467247

8.240103

7.971791

8.113427

7.963058

8.159673

8.11375

8.576764

8.036048

1701.03553

Shoichi Kawamoto

Shoichi Kawamoto, Chun-Yu Wei, Wen-Yu Wen

Extremal noncommutative black holes as dark matter furnaces

15 pages, 1 figure

Classical and Quantum Gravity, Vol. 34 (2017) 17

10.1088/1361-6382/aa7f56

null

hep-th gr-qc

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

In this letter, we consider dark matter annihilation in the gravitational field of noncommutative black holes. At final stage of evaporation, we hypothesize the existence of a thermal equilibrium state composed of a burning black hole relics fueled by dark matter accretion.

[ { "created": "Fri, 13 Jan 2017 03:28:15 GMT", "version": "v1" } ]

2017-08-02

[ [ "Kawamoto", "Shoichi", "" ], [ "Wei", "Chun-Yu", "" ], [ "Wen", "Wen-Yu", "" ] ]

In this letter, we consider dark matter annihilation in the gravitational field of noncommutative black holes. At final stage of evaporation, we hypothesize the existence of a thermal equilibrium state composed of a burning black hole relics fueled by dark matter accretion.

19.398252

17.606119

13.382561

13.943173

13.964072

13.66748

14.479903

13.72814

14.74733

13.554047

15.206389

14.787474

14.696133

14.000556

14.28282

14.656963

14.690776

13.569312

14.603627

14.548562

14.585511

1402.0527

Kallosh Renata

Renata Kallosh

Planck 2013 and Superconformal Symmetry

20 p, Based on the lecture at the Les Houches School "Post-Planck Cosmology" 2013

null

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

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

We explain why the concept of a spontaneously broken superconformal symmetry is useful to describe inflationary models favored by the Planck. Non-minimal coupling of complex scalars to curvature, N(X, X*) R, is compulsory for superconformal symmetry. Here N is the Kahler potential of the embedding moduli space, including the inflaton and the conformon. It appears that such a non-minimal coupling allows generic chaotic models of inflation to reach an agreement with the observable (n_{s},r) values. We describe here the superconformal versions of the cosmological attractors whose bosonic part was presented in lectures of A. Linde in this volume. A distinguishing feature of this class of models is that they tend to lead to very similar predictions which are not very sensitive with respect to strong modifications of the theory. The (super)conformal symmetry underlying (super)gravity allows a universal description of a large class of models which agree with observations and predict the tensor to scalar ratio 10^{-3} < r < 10^{-1}.

[ { "created": "Mon, 3 Feb 2014 21:32:16 GMT", "version": "v1" } ]

2014-02-05

[ [ "Kallosh", "Renata", "" ] ]

We explain why the concept of a spontaneously broken superconformal symmetry is useful to describe inflationary models favored by the Planck. Non-minimal coupling of complex scalars to curvature, N(X, X*) R, is compulsory for superconformal symmetry. Here N is the Kahler potential of the embedding moduli space, including the inflaton and the conformon. It appears that such a non-minimal coupling allows generic chaotic models of inflation to reach an agreement with the observable (n_{s},r) values. We describe here the superconformal versions of the cosmological attractors whose bosonic part was presented in lectures of A. Linde in this volume. A distinguishing feature of this class of models is that they tend to lead to very similar predictions which are not very sensitive with respect to strong modifications of the theory. The (super)conformal symmetry underlying (super)gravity allows a universal description of a large class of models which agree with observations and predict the tensor to scalar ratio 10^{-3} < r < 10^{-1}.

11.055564

11.875054

11.982092

11.027864

12.378008

12.789353

11.933836

11.587309

11.044084

13.6793

11.326672

10.983137

11.356096

11.337255

11.361378

11.296071

11.48095

11.35058

11.171236

11.189679

10.92563

1103.2730

P. S. Howe

J. Greitz and P.S. Howe

Maximal supergravity in three dimensions: supergeometry and differential forms

27 pages. Small changes to the text; added references

JHEP 1107:071,2011

10.1007/JHEP07(2011)071

KCL-MTH-11-07

hep-th

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

The maximal supergravity theory in three dimensions, which has local SO(16) and rigid $E_8$ symmetries, is discussed in a superspace setting starting from an off-shell superconformal structure. The on-shell theory is obtained by imposing further constraints. It is essentially a non-linear sigma model that induces a Poincar\'e supergeometry that is described in detail. The possible $p$-form field strengths, for $p=2,3,4$, are explicitly constructed using supersymmetry and $E_8$. The gauged theory is also discussed.

[ { "created": "Mon, 14 Mar 2011 18:19:04 GMT", "version": "v1" }, { "created": "Sun, 24 Apr 2011 18:06:26 GMT", "version": "v2" } ]

2011-07-21

[ [ "Greitz", "J.", "" ], [ "Howe", "P. S.", "" ] ]

The maximal supergravity theory in three dimensions, which has local SO(16) and rigid $E_8$ symmetries, is discussed in a superspace setting starting from an off-shell superconformal structure. The on-shell theory is obtained by imposing further constraints. It is essentially a non-linear sigma model that induces a Poincar\'e supergeometry that is described in detail. The possible $p$-form field strengths, for $p=2,3,4$, are explicitly constructed using supersymmetry and $E_8$. The gauged theory is also discussed.

8.903927

7.858602

9.495681

7.893881

8.879996

8.523017

8.819641

8.66005

8.48003

8.707302

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8.500825

8.766616

8.148973

8.311965

8.397807

8.153757

8.143327

8.339141

8.437659

8.250787

hep-th/9202050

null

J.D. Cohn and H. Dykstra

The Marinari-Parisi Model and Collective Field Theory

14 pages

Mod.Phys.Lett. A7 (1992) 1163-1174

10.1142/S0217732392003621

null

hep-th

null

We derive the supersymmetric collective field theory for the Marinari-Parisi model. For a specific choice of the superpotential, to leading order we find a one parameter family of ground states which can be connected via instantons. At this level of analysis the instanton size implied by the underlying matrix model does not appear.

[ { "created": "Fri, 14 Feb 1992 19:11:46 GMT", "version": "v1" } ]

2015-06-26

[ [ "Cohn", "J. D.", "" ], [ "Dykstra", "H.", "" ] ]

We derive the supersymmetric collective field theory for the Marinari-Parisi model. For a specific choice of the superpotential, to leading order we find a one parameter family of ground states which can be connected via instantons. At this level of analysis the instanton size implied by the underlying matrix model does not appear.

14.856132

12.415565

16.361082

12.102664

13.299156

13.183593

14.079091

12.769583

13.267753

18.884972

13.151423

13.00986

14.539618

13.914597

14.410871

13.833714

13.469147

13.367449

12.97761

15.772936

13.934207

0712.2808

Bert Vercnocke

Bert Janssen, Paul Smyth, Thomas Van Riet, Bert Vercnocke

A first-order formalism for timelike and spacelike brane solutions

17 pages, v2: references added, occasional typos corrected

JHEP 0804:007,2008

10.1088/1126-6708/2008/04/007

null

hep-th

null

We show that the construction of BPS-type equations for non-extremal black holes due to Miller et. al. can be extended to branes of arbitrary dimension and, more importantly, to time-dependent solutions. We call these first-order equations fake- or pseudo-BPS equations in light of the formalism that has been developed for domain wall and cosmological solutions of gravity coupled to scalar fields. We present the fake/pseudo-BPS equations for all stationary branes (timelike branes) and all time-dependent branes (spacelike branes) of an Einstein-dilaton-p-form system in arbitrary dimensions.

[ { "created": "Mon, 17 Dec 2007 20:20:19 GMT", "version": "v1" }, { "created": "Thu, 24 Jan 2008 16:15:20 GMT", "version": "v2" } ]

2009-12-15

[ [ "Janssen", "Bert", "" ], [ "Smyth", "Paul", "" ], [ "Van Riet", "Thomas", "" ], [ "Vercnocke", "Bert", "" ] ]

We show that the construction of BPS-type equations for non-extremal black holes due to Miller et. al. can be extended to branes of arbitrary dimension and, more importantly, to time-dependent solutions. We call these first-order equations fake- or pseudo-BPS equations in light of the formalism that has been developed for domain wall and cosmological solutions of gravity coupled to scalar fields. We present the fake/pseudo-BPS equations for all stationary branes (timelike branes) and all time-dependent branes (spacelike branes) of an Einstein-dilaton-p-form system in arbitrary dimensions.

10.654181

8.799262

10.277254

9.641798

10.715018

8.963344

9.735879

10.036237

9.482539

11.36037

9.185071

9.783094

10.260196

9.984782

9.939122

10.017224

10.032112

10.11012

9.748663

10.305723

9.767209

1505.07379

Andrey Sadofyev

Krishna Rajagopal, Andrey V. Sadofyev

Chiral drag force

28 pages, small improvement to the discussion of gravitational anomaly, references added

null

MIT-CTP-4676

hep-th hep-ph nucl-th

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

We provide a holographic evaluation of novel contributions to the drag force acting on a heavy quark moving through strongly interacting plasma. The new contributions are chiral in that they act in opposite directions in plasmas containing an excess of left- or right-handed quarks and in that they are proportional to the coefficient of the axial anomaly. These new contributions to the drag force act either parallel to or antiparallel to an external magnetic field or to the vorticity of the fluid plasma. In all these respects, these contributions to the drag force felt by a heavy quark are analogous to the chiral magnetic effect on light quarks. However, the new contribution to the drag force is independent of the electric charge of the heavy quark and is the same for heavy quarks and antiquarks. We show that although the chiral drag force can be non-vanishing for heavy quarks that are at rest in the local fluid rest frame, it does vanish for heavy quarks that are at rest in a suitably chosen frame. In this frame, the heavy quark at rest sees counterpropagating momentum and charge currents, both proportional to the axial anomaly coefficient, but feels no drag force. This provides strong concrete evidence for the absence of dissipation in chiral transport, something that has been predicted previously via consideration of symmetries. Along the way to our principal results, we provide a general calculation of the corrections to the drag force due to the presence of gradients in the flowing fluid in the presence of a nonzero chemical potential. We close with a consequence of our result that is at least in principle observable in heavy ion collisions, namely an anticorrelation between the direction of the CME current for light quarks in a given event and the direction of the kick given to the momentum of all the heavy quarks and antiquarks in that event.

[ { "created": "Wed, 27 May 2015 15:35:45 GMT", "version": "v1" }, { "created": "Wed, 29 Jul 2015 11:25:21 GMT", "version": "v2" } ]

2015-07-30

[ [ "Rajagopal", "Krishna", "" ], [ "Sadofyev", "Andrey V.", "" ] ]

We provide a holographic evaluation of novel contributions to the drag force acting on a heavy quark moving through strongly interacting plasma. The new contributions are chiral in that they act in opposite directions in plasmas containing an excess of left- or right-handed quarks and in that they are proportional to the coefficient of the axial anomaly. These new contributions to the drag force act either parallel to or antiparallel to an external magnetic field or to the vorticity of the fluid plasma. In all these respects, these contributions to the drag force felt by a heavy quark are analogous to the chiral magnetic effect on light quarks. However, the new contribution to the drag force is independent of the electric charge of the heavy quark and is the same for heavy quarks and antiquarks. We show that although the chiral drag force can be non-vanishing for heavy quarks that are at rest in the local fluid rest frame, it does vanish for heavy quarks that are at rest in a suitably chosen frame. In this frame, the heavy quark at rest sees counterpropagating momentum and charge currents, both proportional to the axial anomaly coefficient, but feels no drag force. This provides strong concrete evidence for the absence of dissipation in chiral transport, something that has been predicted previously via consideration of symmetries. Along the way to our principal results, we provide a general calculation of the corrections to the drag force due to the presence of gradients in the flowing fluid in the presence of a nonzero chemical potential. We close with a consequence of our result that is at least in principle observable in heavy ion collisions, namely an anticorrelation between the direction of the CME current for light quarks in a given event and the direction of the kick given to the momentum of all the heavy quarks and antiquarks in that event.

6.110928

7.226826

6.642524

6.406452

6.896709

7.062364

6.964942

6.616094

6.61365

7.062057

6.618371

6.406965

6.455329

6.309588

6.380727

6.345336

6.350673

6.419436

6.370412

6.226737

6.274511

1608.02958

Brian Willett

Localization on three-dimensional manifolds

This is a contribution to the review volume `Localization techniques in quantum field theories' (eds. V. Pestun and M. Zabzine) which contains 17 Chapters. The complete volume is summarized in arXiv:1608.02952 and it can be downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf

null

10.1088/1751-8121/aa612f

null

hep-th math-ph math.MP

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

In this review article we describe the localization of three dimensional N=2 supersymmetric theories on compact manifolds, including the squashed sphere, S^3_b, the lens space, S^3_b/Z_p, and S^2 x S^1. We describe how to write supersymmetric actions on these spaces, and then compute the partition functions and other supersymmetric observables by employing the localization argument. We briefly survey some applications of these computations.

[ { "created": "Tue, 9 Aug 2016 20:01:43 GMT", "version": "v1" }, { "created": "Sun, 14 Aug 2016 14:22:11 GMT", "version": "v2" }, { "created": "Sat, 15 Oct 2016 18:03:10 GMT", "version": "v3" } ]

2017-10-25

[ [ "Willett", "Brian", "" ] ]

In this review article we describe the localization of three dimensional N=2 supersymmetric theories on compact manifolds, including the squashed sphere, S^3_b, the lens space, S^3_b/Z_p, and S^2 x S^1. We describe how to write supersymmetric actions on these spaces, and then compute the partition functions and other supersymmetric observables by employing the localization argument. We briefly survey some applications of these computations.

7.438581

6.060598

8.008555

5.511226

5.695119

6.000786

5.709742

5.832502

5.655448

8.174103

5.767522

5.297555

6.623349

5.613295

5.727035

5.567964

5.548727

5.800726

5.634571

6.07325

5.547944

1607.03461

Evgeny Buchbinder

Stefan Blesneag, Evgeny I. Buchbinder, Andre Lukas

Holomorphic Yukawa Couplings for Complete Intersection Calabi-Yau Manifolds

40 pages, Latex; v2: minor corrections, references added

JHEP 1701 (2017) 119

10.1007/JHEP01(2017)119

null

hep-th

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

We develop methods to compute holomorphic Yukawa couplings for heterotic compactifications on complete intersection Calabi-Yau manifolds, generalising results of an earlier paper for Calabi-Yau hypersurfaces. Our methods are based on constructing the required bundle-valued forms explicitly and evaluating the relevant integrals over the projective ambient space. We also show how our approach relates to an earlier, algebraic one to calculate the holomorphic Yukawa couplings. A vanishing theorem, which we prove, implies that certain Yukawa couplings allowed by low-energy symmetries are zero due to topological reasons. To illustrate our methods, we calculate Yukawa couplings for SU(5)-based standard models on a co-dimension two complete intersection manifold.

[ { "created": "Tue, 12 Jul 2016 18:34:15 GMT", "version": "v1" }, { "created": "Tue, 7 Feb 2017 02:44:26 GMT", "version": "v2" } ]

2017-03-08

[ [ "Blesneag", "Stefan", "" ], [ "Buchbinder", "Evgeny I.", "" ], [ "Lukas", "Andre", "" ] ]

We develop methods to compute holomorphic Yukawa couplings for heterotic compactifications on complete intersection Calabi-Yau manifolds, generalising results of an earlier paper for Calabi-Yau hypersurfaces. Our methods are based on constructing the required bundle-valued forms explicitly and evaluating the relevant integrals over the projective ambient space. We also show how our approach relates to an earlier, algebraic one to calculate the holomorphic Yukawa couplings. A vanishing theorem, which we prove, implies that certain Yukawa couplings allowed by low-energy symmetries are zero due to topological reasons. To illustrate our methods, we calculate Yukawa couplings for SU(5)-based standard models on a co-dimension two complete intersection manifold.

6.116471

6.114839

7.639209

6.156066

6.600465

6.280512

6.080237

6.026012

5.761969

8.959714

5.840096

6.088771

7.109756

6.299677

6.128774

6.100004

6.039294

6.200773

6.234312

6.920265

6.068054

2206.04064

Gabriel Larios

Mattia Ces\`aro and Gabriel Larios and Oscar Varela

$\mathcal{N}=1$ S-fold spectroscopy

v2: minor changes. Version to be published in JHEP

null

10.1007/JHEP08(2022)242

IFT-UAM/CSIC-22-60

hep-th

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

We analyse the spectrum of Kaluza-Klein excitations above three distinct families of ${\cal N}=1$ AdS$_4$ solutions of type IIB supergravity of typically non-geometric, S-fold type that have been recently found. For all three families, we provide the complete algebraic structure of their spectra, including the content of OSp$(4|1)$ multiplets at all Kaluza-Klein levels and their charges under the residual symmetry groups. We also provide extensive results for the multiplet dimensions using new methods derived from exceptional field theory, including complete, analytic results for one of the families. All three spectra show periodicity in the moduli that label the corresponding family of solutions. Finally, the compactness of these moduli is verified in some cases at the level of the fully-fledged type IIB uplifted solutions.

[ { "created": "Wed, 8 Jun 2022 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 23 Aug 2022 19:17:43 GMT", "version": "v2" } ]

2022-09-07

[ [ "Cesàro", "Mattia", "" ], [ "Larios", "Gabriel", "" ], [ "Varela", "Oscar", "" ] ]

We analyse the spectrum of Kaluza-Klein excitations above three distinct families of ${\cal N}=1$ AdS$_4$ solutions of type IIB supergravity of typically non-geometric, S-fold type that have been recently found. For all three families, we provide the complete algebraic structure of their spectra, including the content of OSp$(4|1)$ multiplets at all Kaluza-Klein levels and their charges under the residual symmetry groups. We also provide extensive results for the multiplet dimensions using new methods derived from exceptional field theory, including complete, analytic results for one of the families. All three spectra show periodicity in the moduli that label the corresponding family of solutions. Finally, the compactness of these moduli is verified in some cases at the level of the fully-fledged type IIB uplifted solutions.

11.468264

10.103069

13.028912

10.64972

11.350318

10.57385

10.637777

10.175659

10.163964

13.980485

10.292159

10.417497

11.286116

10.484468

10.435555

10.334774

10.199207

10.755411

10.314675

11.456978

10.315351

0805.0239

James Ettle

James H. Ettle, Tim R. Morris and Zhiguang Xiao

The MHV QCD Lagrangian

**Important New Material:** Proof that vertices are MHV amps off-shell, **Plus** results for all MHV verts with massive quarks. Clarifications made, esp. on the link between massless quark-gluon vertices and known results, and the choice of massive poln. spinors. Citations revised. 42 pages, 2 figures, 4 tables. (This version published in JHEP.)

JHEP 0808:103,2008

10.1088/1126-6708/2008/08/103

SHEP 08-20

hep-th

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

We perform a canonical change of the field variables of light-cone gauge massless QCD to obtain a lagrangian whose terms are proportional up to polarisation factors to MHV amplitudes and continued off shell by the CSW prescription. We solve for this transformation as a series expansion to all orders in the new fields, and use this to prove that the resulting vertices are indeed MHV vertices as claimed. We also demonstrate how this works explicitly for the vertices with: two quarks and two gluons, four quarks, and a particular helicity configuration of two quarks and three gluons. Finally, we generalise the construction to massive QCD.

[ { "created": "Fri, 2 May 2008 15:09:28 GMT", "version": "v1" }, { "created": "Wed, 6 Aug 2008 21:15:40 GMT", "version": "v2" } ]

2009-12-07

[ [ "Ettle", "James H.", "" ], [ "Morris", "Tim R.", "" ], [ "Xiao", "Zhiguang", "" ] ]

We perform a canonical change of the field variables of light-cone gauge massless QCD to obtain a lagrangian whose terms are proportional up to polarisation factors to MHV amplitudes and continued off shell by the CSW prescription. We solve for this transformation as a series expansion to all orders in the new fields, and use this to prove that the resulting vertices are indeed MHV vertices as claimed. We also demonstrate how this works explicitly for the vertices with: two quarks and two gluons, four quarks, and a particular helicity configuration of two quarks and three gluons. Finally, we generalise the construction to massive QCD.

11.34534

11.060012

12.401011

11.18451

10.896351

11.169025

10.376967

10.840107

10.500742

12.125611

10.252984

10.907554

12.011431

11.162915

10.893385

11.038684

10.478276

10.83028

11.35986

11.661306

10.944253

hep-th/0103061

Gerald V. Dunne

Gerald V. Dunne and Kumar Rao

Thermal Fluctuations of Induced Fermion Number

17 pgs, 9 figs, RevTex4

Phys.Rev. D64 (2001) 025003

10.1103/PhysRevD.64.025003

null

hep-th cond-mat hep-ph

null

We analyze the phemomenon of induced fermion number at finite temperature. At finite temperature, the induced fermion number $<N>$ is a thermal expectation value, and we compute the finite temperature fluctuations, $(\Delta N)^2=<N^2>-<N>^2$. While the zero temperature induced fermion number is topological and is a sharp observable, the finite temperature induced fermion number is generically nontopological, and is not a sharp observable. The fluctuations are due to the mixing of states inherent in any finite temperature expectation value. We analyze in detail two different cases in 1+1 dimensional field theory: fermions in a kink background, and fermions in a chiral sigma model background. At zero temperature the induced fermion numbers for these two cases are very similar, but at finite temperature they are very different. The sigma model case is generic and the induced fermion number is nontopological, but the kink case is special and the fermion number is topological, even at finite temperature. There is a simple physical interpretation of all these results in terms of the spectrum of the fermions in the relevant background, and many of the results generalize to higher dimensional models.

[ { "created": "Fri, 9 Mar 2001 13:23:49 GMT", "version": "v1" } ]

2009-11-07

[ [ "Dunne", "Gerald V.", "" ], [ "Rao", "Kumar", "" ] ]

We analyze the phemomenon of induced fermion number at finite temperature. At finite temperature, the induced fermion number $<N>$ is a thermal expectation value, and we compute the finite temperature fluctuations, $(\Delta N)^2=<N^2>-<N>^2$. While the zero temperature induced fermion number is topological and is a sharp observable, the finite temperature induced fermion number is generically nontopological, and is not a sharp observable. The fluctuations are due to the mixing of states inherent in any finite temperature expectation value. We analyze in detail two different cases in 1+1 dimensional field theory: fermions in a kink background, and fermions in a chiral sigma model background. At zero temperature the induced fermion numbers for these two cases are very similar, but at finite temperature they are very different. The sigma model case is generic and the induced fermion number is nontopological, but the kink case is special and the fermion number is topological, even at finite temperature. There is a simple physical interpretation of all these results in terms of the spectrum of the fermions in the relevant background, and many of the results generalize to higher dimensional models.

5.630733

5.269049

5.900408

5.292752

5.348623

5.471119

5.371823

5.54696

5.115443

6.107585

5.360395

5.385129

5.572388

5.36516

5.412405

5.355956

5.301379

5.422585

5.37513

5.441899

5.430799

hep-th/0604114

Chang Jun Gao

C.J.Gao, S.N.Zhang

Phantom Black Holes

8 pages,some references added

null

hep-th

null

The exact solutions of electrically charged phantom black holes with the cosmological constant are constructed. They are labelled by the mass, the electrical charge, the cosmological constant and the coupling constant between the phantom and the Maxwell field. It is found that the phantom has important consequences on the properties of black holes. In particular, the extremal charged phantom black holes can never be achieved and so the third law of thermodynamics for black holes still holds. The cosmological aspects of the phantom black hole and phantom field are also briefly discussed.

[ { "created": "Mon, 17 Apr 2006 01:02:57 GMT", "version": "v1" }, { "created": "Thu, 20 Apr 2006 01:29:46 GMT", "version": "v2" } ]

2007-05-23

[ [ "Gao", "C. J.", "" ], [ "Zhang", "S. N.", "" ] ]

The exact solutions of electrically charged phantom black holes with the cosmological constant are constructed. They are labelled by the mass, the electrical charge, the cosmological constant and the coupling constant between the phantom and the Maxwell field. It is found that the phantom has important consequences on the properties of black holes. In particular, the extremal charged phantom black holes can never be achieved and so the third law of thermodynamics for black holes still holds. The cosmological aspects of the phantom black hole and phantom field are also briefly discussed.

7.983101

7.305408

6.954261

6.660597

7.3878

7.486823

7.737739

6.935436

6.973543

7.226303

7.168209

7.43443

7.080836

7.027842

7.077389

6.924506

6.938951

7.142442

7.394695

7.293338

7.160396

1111.4333

Norisuke Sakai

Akiko Miyake, Kazutoshi Ohta and Norisuke Sakai

Moduli space volume of vortex and localization

10 pages, talk at the international conference "quantum theory and symmetries 7" in prague, august 7-13, 2011

null

10.1088/1742-6596/343/1/012107

null

hep-th

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

Volume of moduli space of BPS vortices on a compact genus h Riemann surface Sigma_h is evaluated by means of topological field theory and localization technique. Vortex in Abelian gauge theory with a single charged scalar field (ANO vortex) is studied first and is found that the volume of the moduli space agrees with the previous results obtained more directly by integrating over the moduli space metric. Next we extend the evaluation to non-Abelian gauge groups and multi-flavors of scalar fields in the fundamental representation. We find that the result of localization can be consistently understood in terms of moduli matrix formalism wherever possible. More details are found in our paper in Prog.Theor.Phys.126 (2011) 637.

[ { "created": "Fri, 18 Nov 2011 11:18:38 GMT", "version": "v1" } ]

2015-06-03

[ [ "Miyake", "Akiko", "" ], [ "Ohta", "Kazutoshi", "" ], [ "Sakai", "Norisuke", "" ] ]

Volume of moduli space of BPS vortices on a compact genus h Riemann surface Sigma_h is evaluated by means of topological field theory and localization technique. Vortex in Abelian gauge theory with a single charged scalar field (ANO vortex) is studied first and is found that the volume of the moduli space agrees with the previous results obtained more directly by integrating over the moduli space metric. Next we extend the evaluation to non-Abelian gauge groups and multi-flavors of scalar fields in the fundamental representation. We find that the result of localization can be consistently understood in terms of moduli matrix formalism wherever possible. More details are found in our paper in Prog.Theor.Phys.126 (2011) 637.

10.243931

8.989285

12.065153

8.662645

10.33437

9.150982

10.612721

9.01615

8.796936

11.562028

9.339355

8.661835

9.050621

8.699093

8.933098

8.828002

9.083798

8.875657

8.661229

9.06331

8.862069

hep-th/0001003

Gungwon Kang

Y.S. Myung and Gungwon Kang

Comment on "Metric Fluctuations in Brane Worlds"

4 pages, revtex

null

INJE-TP-99-10

hep-th gr-qc

null

Recently, Ivanov and Volovich (hep-th/9912242) claimed that the perturbation of $h_{\mu\nu}$ with nonvanishing transverse components $h_{5\mu}$ is not localized on the brane because $h_{\mu\nu}$ depends on the fifth coordinate $z$ linearly. Consequently, it may indicate that the effective theory is unstable. However, we point out that such linear dependence on $z$ can be {\it gauged away}. Hence the solution does not belong to the physical one. Therefore, even if one includes $h_{5\mu}$, Randall and Sundrum's argument for the localized gravity on the brane remains correct.

[ { "created": "Sat, 1 Jan 2000 06:14:51 GMT", "version": "v1" } ]

2007-05-23

[ [ "Myung", "Y. S.", "" ], [ "Kang", "Gungwon", "" ] ]

Recently, Ivanov and Volovich (hep-th/9912242) claimed that the perturbation of $h_{\mu\nu}$ with nonvanishing transverse components $h_{5\mu}$ is not localized on the brane because $h_{\mu\nu}$ depends on the fifth coordinate $z$ linearly. Consequently, it may indicate that the effective theory is unstable. However, we point out that such linear dependence on $z$ can be {\it gauged away}. Hence the solution does not belong to the physical one. Therefore, even if one includes $h_{5\mu}$, Randall and Sundrum's argument for the localized gravity on the brane remains correct.

9.020596

8.95182

7.841226

7.669279

7.742655

8.27206

9.10805

8.027538

8.03486

7.867759

8.029416

8.233191

7.725707

7.676873

7.898726

7.696996

8.073681

7.817598

7.832688

7.998673

7.887811

1904.10833

Erich Cavalcanti MSc

E. Cavalcanti, C.A. Linhares, J. A. Louren\c{c}o, A. P. C. Malbouisson

The effect of boundary conditions on dimensionally reduced field-theoretical models at finite temperature

null

Phys. Rev. D 100, 025008 (2019)

10.1103/PhysRevD.100.025008

null

hep-th

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

Here we understand \textit{dimensional reduction} as a procedure to obtain an effective model in $D-1$ dimensions that is related to the original model in $D$ dimensions. To explore this concept we use both a self-interacting fermionic model and self-interacting bosonic model. Furthermore, in both cases, we consider different boundary conditions in space: periodic, antiperiodic, Dirichlet and Neumann. For bosonic fields, we get the so defined dimensional reduction. Taking the simple example of a quartic interaction, we obtain that the boundary condition (periodic, Dirichlet, Neumann) influence the new coupling of the reduced model. For fermionic fields, we get the curious result that the model obtained reducing from $D$ dimensions to $D-1$ dimensions is distinguishable from taking into account a fermionic field originally in $D-1$ dimensions. Moreover, when one considers antiperiodic boundary condition in space (both for bosons or fermions) it is found that the dimensional reduction is not allowed.

[ { "created": "Wed, 24 Apr 2019 14:11:44 GMT", "version": "v1" } ]

2019-07-24

[ [ "Cavalcanti", "E.", "" ], [ "Linhares", "C. A.", "" ], [ "Lourenço", "J. A.", "" ], [ "Malbouisson", "A. P. C.", "" ] ]

Here we understand \textit{dimensional reduction} as a procedure to obtain an effective model in $D-1$ dimensions that is related to the original model in $D$ dimensions. To explore this concept we use both a self-interacting fermionic model and self-interacting bosonic model. Furthermore, in both cases, we consider different boundary conditions in space: periodic, antiperiodic, Dirichlet and Neumann. For bosonic fields, we get the so defined dimensional reduction. Taking the simple example of a quartic interaction, we obtain that the boundary condition (periodic, Dirichlet, Neumann) influence the new coupling of the reduced model. For fermionic fields, we get the curious result that the model obtained reducing from $D$ dimensions to $D-1$ dimensions is distinguishable from taking into account a fermionic field originally in $D-1$ dimensions. Moreover, when one considers antiperiodic boundary condition in space (both for bosons or fermions) it is found that the dimensional reduction is not allowed.

7.898648

7.762722

7.547806

7.150608

7.446315

7.709094

7.81262

7.367717

7.512978

7.978617

7.486269

7.129081

7.330606

7.102635

7.130927

7.073152

7.211902

7.287247

7.251147

7.548604

7.281519

hep-th/0406222

Mohammad Reza Setare

M R Setare

Casimir Effect for Moving Branes in Static dS$_{4+1}$ Bulk

9 pages, no figures

null

hep-th

null

In this paper we study the Casimir effect for conformally coupled massless scalar fields on background of Static dS$_{4+1}$ spacetime. We will consider the general plane--symmetric solutions of the gravitational field equations and boundary conditions of the Dirichlet type on the branes. Then we calculate the vacuum energy-momentum tensor in a configuration in which the boundary branes are moving by uniform proper acceleration in static de Sitter background. Static de Sitter space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy-momentum tensor for conformally invariant field in static de Sitter space from the corresponding Rindler counterpart by the conformal transformation.

[ { "created": "Thu, 24 Jun 2004 13:07:24 GMT", "version": "v1" } ]

2007-05-23

[ [ "Setare", "M R", "" ] ]

In this paper we study the Casimir effect for conformally coupled massless scalar fields on background of Static dS$_{4+1}$ spacetime. We will consider the general plane--symmetric solutions of the gravitational field equations and boundary conditions of the Dirichlet type on the branes. Then we calculate the vacuum energy-momentum tensor in a configuration in which the boundary branes are moving by uniform proper acceleration in static de Sitter background. Static de Sitter space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy-momentum tensor for conformally invariant field in static de Sitter space from the corresponding Rindler counterpart by the conformal transformation.

7.244153

5.460781

7.81517

6.193594

6.241849

5.517262

5.735967

5.75725

6.136216

7.921853

6.218735

6.316443

7.188811

6.82126

6.422706

6.387762

6.537059

6.62454

6.541504

7.080515

6.530129