LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1904.13376

Yunfeng Jiang

A pedagogical review on solvable irrelevant deformations of 2d quantum field theory

A section added, published version, 98 pages

Communications in Theoretical Physics (2021)

10.1088/1572-9494/abe4c9

CERN-TH-2019-058

hep-th

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

This is a pedagogical review on $\mathrm{T}\overline{\mathrm{T}}$ deformation of two dimensional quantum field theories. It is based on three lectures which the author gave at ITP-CAS in December 2018. This review consists of four parts. The first part is a general introduction to $\mathrm{T}\overline{\mathrm{T}}$ deformation. Special emphasises are put on the deformed classical Lagrangian and the exact solvability of the spectrum. The second part focuses on the torus partition sum of the $\mathrm{T}\overline{{\mathrm{T}}}$/$\mathrm{J}\overline{\mathrm{T}}$ deformed conformal field theories and modular invariance/covariance. In the third part, different perspectives of $\mathrm{T}\overline{\mathrm{T}}$ deformation are presented, including its relation to random geometry, 2d topological gravity and holography. We summarize more recent developments until January 2021 in the last part.

[ { "created": "Tue, 30 Apr 2019 17:17:26 GMT", "version": "v1" }, { "created": "Mon, 15 Feb 2021 14:00:58 GMT", "version": "v2" } ]

2021-02-16

[ [ "Jiang", "Yunfeng", "" ] ]

This is a pedagogical review on $\mathrm{T}\overline{\mathrm{T}}$ deformation of two dimensional quantum field theories. It is based on three lectures which the author gave at ITP-CAS in December 2018. This review consists of four parts. The first part is a general introduction to $\mathrm{T}\overline{\mathrm{T}}$ deformation. Special emphasises are put on the deformed classical Lagrangian and the exact solvability of the spectrum. The second part focuses on the torus partition sum of the $\mathrm{T}\overline{{\mathrm{T}}}$/$\mathrm{J}\overline{\mathrm{T}}$ deformed conformal field theories and modular invariance/covariance. In the third part, different perspectives of $\mathrm{T}\overline{\mathrm{T}}$ deformation are presented, including its relation to random geometry, 2d topological gravity and holography. We summarize more recent developments until January 2021 in the last part.

4.969845

4.649148

5.605034

4.587768

4.894478

4.960908

4.827831

4.713295

4.517843

5.489505

4.423929

4.682828

4.776784

4.590438

4.616752

4.608876

4.726669

4.600563

4.478127

4.878076

4.555193

1806.11385

Guo Chuan Thiang

Kiyonori Gomi, Guo Chuan Thiang

Crystallographic T-duality

49 pages, 4 figures, 3 tables. Revised version with expanded appendix, for publication in J. Geom. Phys

J.Geom.Phys,139:50-77,2019

10.1016/j.geomphys.2019.01.002

null

hep-th cond-mat.mes-hall math-ph math.KT math.MP

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

We introduce the notion of crystallographic T-duality, inspired by the appearance of $K$-theory with graded equivariant twists in the study of topological crystalline materials. Besides giving a range of new topological T-dualities, it also unifies many previously known dualities, motivates generalisations of the Baum-Connes conjecture to graded groups, provides a powerful tool for computing topological phase classification groups, and facilitates the understanding of crystallographic bulk-boundary correspondences in physics.

[ { "created": "Fri, 29 Jun 2018 12:47:17 GMT", "version": "v1" }, { "created": "Thu, 31 Jan 2019 13:16:53 GMT", "version": "v2" } ]

2019-02-13

[ [ "Gomi", "Kiyonori", "" ], [ "Thiang", "Guo Chuan", "" ] ]

We introduce the notion of crystallographic T-duality, inspired by the appearance of $K$-theory with graded equivariant twists in the study of topological crystalline materials. Besides giving a range of new topological T-dualities, it also unifies many previously known dualities, motivates generalisations of the Baum-Connes conjecture to graded groups, provides a powerful tool for computing topological phase classification groups, and facilitates the understanding of crystallographic bulk-boundary correspondences in physics.

11.816273

13.841813

13.269818

12.435153

14.488246

14.696528

14.995631

13.344707

12.57612

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12.469643

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13.474118

12.39834

11.844648

11.606782

12.268124

11.618075

11.746523

12.622158

11.881145

hep-th/9908023

Dudas

I. Antoniadis, E. Dudas and A. Sagnotti

Brane Supersymmetry Breaking

15 pages, LaTeX

Phys.Lett. B464 (1999) 38-45

10.1016/S0370-2693(99)01023-0

CPHT-S727.0799, LPT-ORSAY 99/60, ROM2F-99/23

hep-th hep-ph

null

We show how to construct chiral tachyon-free perturbative orientifold models, where supersymmetry is broken at the string scale on a collection of branes while, to lowest order, the bulk and the other branes are supersymmetric. In higher orders, supersymmetry breaking is mediated to the remaining sectors, but is suppressed by the size of the transverse space or by the distance from the brane where supersymmetry breaking primarily occurred. This setting is of interest for orbifold models with discrete torsion, and is of direct relevance for low-scale string models. It can guarantee the stability of the gauge hierarchy against gravitational radiative corrections, allowing an almost exact supergravity a millimeter away from a non-supersymmetric world.

[ { "created": "Tue, 3 Aug 1999 16:45:02 GMT", "version": "v1" } ]

2009-10-31

[ [ "Antoniadis", "I.", "" ], [ "Dudas", "E.", "" ], [ "Sagnotti", "A.", "" ] ]

We show how to construct chiral tachyon-free perturbative orientifold models, where supersymmetry is broken at the string scale on a collection of branes while, to lowest order, the bulk and the other branes are supersymmetric. In higher orders, supersymmetry breaking is mediated to the remaining sectors, but is suppressed by the size of the transverse space or by the distance from the brane where supersymmetry breaking primarily occurred. This setting is of interest for orbifold models with discrete torsion, and is of direct relevance for low-scale string models. It can guarantee the stability of the gauge hierarchy against gravitational radiative corrections, allowing an almost exact supergravity a millimeter away from a non-supersymmetric world.

11.80195

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11.584961

12.11141

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11.510114

10.894655

14.857484

11.636466

11.350745

12.036109

11.501101

10.722862

11.093517

11.628448

10.979511

11.47168

11.667728

11.00916

1705.01645

Mykola Dedushenko

Mykola Dedushenko, Sergei Gukov, Pavel Putrov

Vertex algebras and 4-manifold invariants

67 pages, 11 figures

null

CALT-TH-2017-008

hep-th math-ph math.GT math.MP math.RT

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

We propose a way of computing 4-manifold invariants, old and new, as chiral correlation functions in half-twisted 2d $\mathcal{N}=(0,2)$ theories that arise from compactification of fivebranes. Such formulation gives a new interpretation of some known statements about Seiberg-Witten invariants, such as the basic class condition, and gives a prediction for structural properties of the multi-monopole invariants and their non-abelian generalizations.

[ { "created": "Wed, 3 May 2017 22:45:25 GMT", "version": "v1" } ]

2017-05-05

[ [ "Dedushenko", "Mykola", "" ], [ "Gukov", "Sergei", "" ], [ "Putrov", "Pavel", "" ] ]

We propose a way of computing 4-manifold invariants, old and new, as chiral correlation functions in half-twisted 2d $\mathcal{N}=(0,2)$ theories that arise from compactification of fivebranes. Such formulation gives a new interpretation of some known statements about Seiberg-Witten invariants, such as the basic class condition, and gives a prediction for structural properties of the multi-monopole invariants and their non-abelian generalizations.

10.343774

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9.447083

10.15741

9.343699

12.881819

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10.446189

9.298642

9.089143

9.18451

9.093907

9.267735

9.369839

10.574508

9.196018

0903.2644

Yeuan-Ming Sheu

H. M. Fried (Brown), Y. Gabellini (INLN), T. Grandou (INLN), Y.-M. Sheu (Brown, INLN)

Gauge Invariant Summation of All QCD Virtual Gluon Exchanges

35 pages, no figures

Eur.Phys.J.C65:395-411,2010

10.1140/epjc/s10052-009-1224-7

Brown-HET-1574

hep-th

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

The interpretation of virtual gluons as ghosts in the non-linear gluonic structure of QCD permits the formulation and realization of a manifestly gauge-invariant and Lorentz covariant theory of interacting quarks/anti-quarks, for all values of coupling. The simplest example of quark/anti-quark scattering in a high-energy, quenched, eikonal model at large coupling is shown to be expressible as a set of finite, local integrals which may be evaluated numerically; and before evaluation, it is clear that the result will be dependent only on, and is damped by increasing momentum transfer, while displaying physically-reasonable color dependence in a manner underlying the MIT Bag Model and an effective, asymptotic freedom. A similar but more complicated integral will result from all possible gluonic-radiative corrections to this simplest eikonal model. Our results are compatible with an earlier, field-strength analysis of Reinhardt et al.

[ { "created": "Sun, 15 Mar 2009 16:35:46 GMT", "version": "v1" }, { "created": "Tue, 8 Dec 2009 05:15:52 GMT", "version": "v2" } ]

2010-02-11

[ [ "Fried", "H. M.", "", "Brown" ], [ "Gabellini", "Y.", "", "INLN" ], [ "Grandou", "T.", "", "INLN" ], [ "Sheu", "Y. -M.", "", "Brown, INLN" ] ]

The interpretation of virtual gluons as ghosts in the non-linear gluonic structure of QCD permits the formulation and realization of a manifestly gauge-invariant and Lorentz covariant theory of interacting quarks/anti-quarks, for all values of coupling. The simplest example of quark/anti-quark scattering in a high-energy, quenched, eikonal model at large coupling is shown to be expressible as a set of finite, local integrals which may be evaluated numerically; and before evaluation, it is clear that the result will be dependent only on, and is damped by increasing momentum transfer, while displaying physically-reasonable color dependence in a manner underlying the MIT Bag Model and an effective, asymptotic freedom. A similar but more complicated integral will result from all possible gluonic-radiative corrections to this simplest eikonal model. Our results are compatible with an earlier, field-strength analysis of Reinhardt et al.

18.298639

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18.016741

17.680477

17.466301

17.00544

17.798635

17.526257

17.723923

18.39151

17.560663

0806.1629

Anton Galajinsky

Particle dynamics on AdS_2 x S^2 background with two-form flux

V3: minor modifications, references added

Phys.Rev.D78:044014,2008

10.1103/PhysRevD.78.044014

LMP-TPU-7/08

hep-th

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

Different aspects of particle dynamics on AdS_2 x S^2 background with two-form flux are discussed. These include solution of equations of motion, a canonical transformation to conformal mechanics and an N=4 supersymmetric extension.

[ { "created": "Tue, 10 Jun 2008 10:43:59 GMT", "version": "v1" }, { "created": "Mon, 16 Jun 2008 08:42:18 GMT", "version": "v2" }, { "created": "Wed, 3 Sep 2008 03:34:06 GMT", "version": "v3" } ]

2008-11-26

[ [ "Galajinsky", "Anton", "" ] ]

Different aspects of particle dynamics on AdS_2 x S^2 background with two-form flux are discussed. These include solution of equations of motion, a canonical transformation to conformal mechanics and an N=4 supersymmetric extension.

16.27821

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10.104391

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15.604411

10.917994

10.768463

13.736141

11.542607

10.831184

10.68427

11.953741

10.723712

11.881638

13.457626

11.286915

hep-th/9309004

Robert Marnelius

BRST quantization of relativistic particles on inner product spaces

14,ITP-G\"{o}teborg 93-20, latexfile

null

hep-th

null

Recent results of BRST quantization on inner product spaces are reviewed. It is shown how relativistic particle models may be quantized with finite norms and that the relation between the operator method and the conventional path integral treatments is nontrivial.

[ { "created": "Wed, 1 Sep 1993 06:58:12 GMT", "version": "v1" } ]

2007-05-23

[ [ "Marnelius", "Robert", "" ] ]

Recent results of BRST quantization on inner product spaces are reviewed. It is shown how relativistic particle models may be quantized with finite norms and that the relation between the operator method and the conventional path integral treatments is nontrivial.

20.229353

15.442674

18.871851

14.742998

15.609314

14.914732

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21.495338

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16.816584

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16.482706

17.909071

16.944382

1706.05294

Karl Landsteiner

Christian Copetti, Jorge Fern\'andez-Pend\'as, Karl Landsteiner, Eugenio Meg\'ias

Anomalous transport and holographic momentum relaxation

12 pages,v2: ref. added

null

10.1007/JHEP09(2017)004

IFT-UAM/CSIC-17-055

hep-th

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

The chiral magnetic and vortical effects denote the generation of dissipationless currents due to magnetic fields or rotation. They can be studied in holographic models with Chern-Simons couplings dual to anomalies in field theory. We study a holographic model with translation symmetry breaking based on linear massless scalar field backgrounds. We compute the electric DC conductivity and find that it can vanish for certain values of the translation symmetry breaking couplings. Then we compute the chiral magnetic and chiral vortical conductivities. They are completely independent of the holographic disorder couplings and take the usual values in terms of chemical potential and temperature. To arrive at this result we suggest a new definition of energy-momentum tensor in presence of the gravitational Chern-Simons coupling.

[ { "created": "Fri, 16 Jun 2017 14:40:38 GMT", "version": "v1" }, { "created": "Tue, 4 Jul 2017 13:41:40 GMT", "version": "v2" } ]

2017-09-20

[ [ "Copetti", "Christian", "" ], [ "Fernández-Pendás", "Jorge", "" ], [ "Landsteiner", "Karl", "" ], [ "Megías", "Eugenio", "" ] ]

The chiral magnetic and vortical effects denote the generation of dissipationless currents due to magnetic fields or rotation. They can be studied in holographic models with Chern-Simons couplings dual to anomalies in field theory. We study a holographic model with translation symmetry breaking based on linear massless scalar field backgrounds. We compute the electric DC conductivity and find that it can vanish for certain values of the translation symmetry breaking couplings. Then we compute the chiral magnetic and chiral vortical conductivities. They are completely independent of the holographic disorder couplings and take the usual values in terms of chemical potential and temperature. To arrive at this result we suggest a new definition of energy-momentum tensor in presence of the gravitational Chern-Simons coupling.

8.177275

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7.617019

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7.551521

7.997782

7.389091

7.611122

7.500311

7.350005

7.515511

7.498104

7.655008

7.544172

1906.10714

Marius de Leeuw

Marius de Leeuw, Charlotte Kristjansen, Kasper E. Vardinghus

A non-integrable quench from AdS/dCFT

6 pages

null

10.1016/j.physletb.2019.134940

null

hep-th cond-mat.stat-mech

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

We study the matrix product state which appears as the boundary state of the AdS/dCFT set-up where a probe D7 brane wraps two two-spheres stabilized by fluxes. The matrix product state plays a dual role, on one hand acting as a tool for computing one-point functions in a domain wall version of N=4 SYM and on the other hand acting as the initial state in the study of quantum quenches of the Heisenberg spin chain. We derive a number of selection rules for the overlaps between the matrix product state and the eigenstates of the Heisenberg spin chain and in particular demonstrate that the matrix product state does not fulfill a recently proposed integrability criterion. Accordingly, we find that the overlaps can not be expressed in the usual factorized determinant form. Nevertheless, we derive some exact results for one-point functions of simple operators and present a closed formula for one-point functions of more general operators in the limit of large spin-chain length.

[ { "created": "Tue, 25 Jun 2019 18:13:23 GMT", "version": "v1" } ]

2019-09-18

[ [ "de Leeuw", "Marius", "" ], [ "Kristjansen", "Charlotte", "" ], [ "Vardinghus", "Kasper E.", "" ] ]

We study the matrix product state which appears as the boundary state of the AdS/dCFT set-up where a probe D7 brane wraps two two-spheres stabilized by fluxes. The matrix product state plays a dual role, on one hand acting as a tool for computing one-point functions in a domain wall version of N=4 SYM and on the other hand acting as the initial state in the study of quantum quenches of the Heisenberg spin chain. We derive a number of selection rules for the overlaps between the matrix product state and the eigenstates of the Heisenberg spin chain and in particular demonstrate that the matrix product state does not fulfill a recently proposed integrability criterion. Accordingly, we find that the overlaps can not be expressed in the usual factorized determinant form. Nevertheless, we derive some exact results for one-point functions of simple operators and present a closed formula for one-point functions of more general operators in the limit of large spin-chain length.

7.927884

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8.35464

7.874111

7.651158

7.978708

7.894766

7.70579

7.726985

8.260633

7.665699

2309.17017

Albert Schwarz

A new approach to string theory

17 pages, Appendix with a simple approach to the operator formalism added. Minor changes in the main text

null

hep-th math-ph math.MP

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

In the present paper we consider quantum theories obtained by quantization of classical theories with first-class constraints assuming that these constraints form a Lie algebra. We show that in this case, one can construct physical quantities of a new type. We apply this construction to string theory. We find that scattering amplitudes in critical bosonic closed string theory can be expressed in terms of physical quantities of the new type. Our techniques can be applied also to superstring and heterotic string.

[ { "created": "Fri, 29 Sep 2023 07:04:13 GMT", "version": "v1" }, { "created": "Wed, 18 Oct 2023 07:38:55 GMT", "version": "v2" } ]

2023-10-19

[ [ "Schwarz", "Albert", "" ] ]

In the present paper we consider quantum theories obtained by quantization of classical theories with first-class constraints assuming that these constraints form a Lie algebra. We show that in this case, one can construct physical quantities of a new type. We apply this construction to string theory. We find that scattering amplitudes in critical bosonic closed string theory can be expressed in terms of physical quantities of the new type. Our techniques can be applied also to superstring and heterotic string.

8.437472

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7.500877

hep-th/9908056

Daniela

Daniela Bigatti and Leonard Susskind

Magnetic fields, branes and noncommutative geometry

8 pages, laTeX, figures in .gif format. v2: numerical mistakes and misprints corrected; references and acknowledgements added. v3: figures included as .eps files

Phys.Rev.D62:066004,2000

10.1103/PhysRevD.62.066004

SU-ITP 99/39, KUL-TF 99/30

hep-th

null

We construct a simple physical model of a particle moving on the infinite noncommutative 2-plane. The model consists of a pair of opposite charges moving in a strong magnetic field. In addition, the charges are connected by a spring. In the limit of large magnetic field, the charges are frozen into the lowest Landau level. Interaction of such particles include Moyal bracket phases characteristics of field theory on noncommutative space. The simple system arises in lightcone quantization of open strings attached to D-branes in a.s. tensor background. We use the model to work out the general form of lightcone vertices from string splitting. We then consider Feynman diagrams in uncompactified NC YM theories and find that for all planar diagrams the comm. and noncomm. theories are the same. This means large N theories are equivalent in the 't Hooft limit. Non planar diagrams convergence is improved.

[ { "created": "Sat, 7 Aug 1999 22:16:15 GMT", "version": "v1" }, { "created": "Wed, 11 Aug 1999 15:18:02 GMT", "version": "v2" }, { "created": "Mon, 6 Sep 1999 16:01:16 GMT", "version": "v3" }, { "created": "Tue, 7 Sep 1999 21:16:31 GMT", "version": "v4" } ]

2009-10-07

[ [ "Bigatti", "Daniela", "" ], [ "Susskind", "Leonard", "" ] ]

We construct a simple physical model of a particle moving on the infinite noncommutative 2-plane. The model consists of a pair of opposite charges moving in a strong magnetic field. In addition, the charges are connected by a spring. In the limit of large magnetic field, the charges are frozen into the lowest Landau level. Interaction of such particles include Moyal bracket phases characteristics of field theory on noncommutative space. The simple system arises in lightcone quantization of open strings attached to D-branes in a.s. tensor background. We use the model to work out the general form of lightcone vertices from string splitting. We then consider Feynman diagrams in uncompactified NC YM theories and find that for all planar diagrams the comm. and noncomm. theories are the same. This means large N theories are equivalent in the 't Hooft limit. Non planar diagrams convergence is improved.

14.443365

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1612.00348

Chaiho Rim

Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach

null

SIGMA 13 (2017), 012, 23 pages

10.3842/SIGMA.2017.012

null

hep-th math-ph math.MP

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

We present recent developments of irregular conformal conformal states. Irregular vertex operators and their adjoint in a new formalism are used to define the irregular conformal states and their inner product instead of using the colliding limit procedure. Free field formalism can be augmented by screening operators which provide more degrees of freedom. The inner product is conveniently given as the partition function of an irregular matrix model. (Deformed) spectral curve is the loop equation of the matrix model at Nekrasov-Shatashivili limit. We present the details of analytic structure of the spectral curve for Virasoso symmetry and its extensions, $W$-symmetry and super-symmetry.

[ { "created": "Thu, 1 Dec 2016 16:49:27 GMT", "version": "v1" }, { "created": "Tue, 13 Dec 2016 04:35:58 GMT", "version": "v2" }, { "created": "Fri, 3 Mar 2017 05:15:59 GMT", "version": "v3" } ]

2017-03-06

[ [ "Rim", "Chaiho", "" ] ]

We present recent developments of irregular conformal conformal states. Irregular vertex operators and their adjoint in a new formalism are used to define the irregular conformal states and their inner product instead of using the colliding limit procedure. Free field formalism can be augmented by screening operators which provide more degrees of freedom. The inner product is conveniently given as the partition function of an irregular matrix model. (Deformed) spectral curve is the loop equation of the matrix model at Nekrasov-Shatashivili limit. We present the details of analytic structure of the spectral curve for Virasoso symmetry and its extensions, $W$-symmetry and super-symmetry.

16.695263

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0705.2083

Y. C. Huang (Yong-Chang Huang )

Yong-Chang Huang (1, 2), Gang Weng (1) ((1) Y. C. Huang, Institute of Theoretical Physics, Beijing University of Technology (formerly Beijing Polytechnic Univ.), Beijing, P. R. China, (2) CCAST (World Lab.), Beijing, P. R. China)

Solution Of Wheeler-De Witt Equation, Potential Well And Tunnel Effect

12 pages

Commun.Theor.Phys.44:757-761,2005

10.1088/6102/44/4/757

null

hep-th

null

This paper uses the relation of the cosmic scale factor and scalar field to solve Wheeler-DeWitt equation, gives the tunnel effect of the cosmic scale factor a and quantum potential well of scalar field, and makes it fit with the physics of cosmic quantum birth. By solving Wheeler-DeWitt equation we achieve a general probability distribution of the cosmic birth, and give the analysis of cosmic quantum birth.

[ { "created": "Tue, 15 May 2007 05:21:14 GMT", "version": "v1" } ]

2014-11-18

[ [ "Huang", "Yong-Chang", "" ], [ "Weng", "Gang", "" ] ]

This paper uses the relation of the cosmic scale factor and scalar field to solve Wheeler-DeWitt equation, gives the tunnel effect of the cosmic scale factor a and quantum potential well of scalar field, and makes it fit with the physics of cosmic quantum birth. By solving Wheeler-DeWitt equation we achieve a general probability distribution of the cosmic birth, and give the analysis of cosmic quantum birth.

16.998177

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15.902619

0911.4867

Haiqing Zhang

Rong-Gen Cai, Hai-Qing Zhang

Holographic Superconductors with Ho\v{r}ava-Lifshitz Black Holes

12 pages, 7 figures,refs added

Phys.Rev.D81:066003,2010

10.1103/PhysRevD.81.066003

null

hep-th

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

We discuss the phase transition of planar black holes in Ho\v{r}ava-Lifshitz gravity by introducing a Maxwell field and a complex scalar field. We calculate the condensates of the charged operators in the dual CFTs when the mass square of the complex scalar filed is $m^2=-2/L^2$ and $m^2=0$, respectively. We compute the electrical conductivity of the \hl superconductor in the probe approximation. In particular, it is found that there exists a spike in the conductivity for the case of the operator with scaling dimension one. These results are quite similar to those in the case of Schwarzschild-AdS black holes, which demonstrates that the holographic superconductivity is a robust phenomenon associated with asymptotic AdS black holes.

[ { "created": "Wed, 25 Nov 2009 14:57:14 GMT", "version": "v1" }, { "created": "Thu, 3 Dec 2009 01:34:13 GMT", "version": "v2" } ]

2010-04-21

[ [ "Cai", "Rong-Gen", "" ], [ "Zhang", "Hai-Qing", "" ] ]

We discuss the phase transition of planar black holes in Ho\v{r}ava-Lifshitz gravity by introducing a Maxwell field and a complex scalar field. We calculate the condensates of the charged operators in the dual CFTs when the mass square of the complex scalar filed is $m^2=-2/L^2$ and $m^2=0$, respectively. We compute the electrical conductivity of the \hl superconductor in the probe approximation. In particular, it is found that there exists a spike in the conductivity for the case of the operator with scaling dimension one. These results are quite similar to those in the case of Schwarzschild-AdS black holes, which demonstrates that the holographic superconductivity is a robust phenomenon associated with asymptotic AdS black holes.

7.014814

7.017062

6.890513

6.436869

6.921093

6.577298

6.862377

7.033499

6.680345

6.942996

6.409182

6.926686

7.019542

6.673796

6.986449

6.843481

6.914725

6.836716

6.784091

7.015153

6.807792

hep-th/0205195

Rafael de Lima Rodrigues

G.S. Dias, E.L. Gra\c{c}a and R. de Lima Rodrigues

Stability Equation and Two-Component Eigenmode for Domain Walls in a Scalar Potential Model

Revised version. Revtex, 4 figures, 22 pages, to appear in International Journal of Modern Physics, Vol. 21 (2006)

Int.J.Mod.Phys.A22:731-748,2007

10.1142/S0217751X07034994

Preprint CBPF-NF-029/02, August 2001

hep-th

null

The connection between the supersymmetric quantum mechanics involving two-component eigenfunctions and the stability equation associated with two classical configurations is investigated, and a matrix superpotential is deduced. The issue of stability is ensured for the Bogomol'nyi-Prasad-Sommerfield (BPS) states on two domain walls in a scalar potential model containing up to fourth-order powers in the fields, which is explicit demonstrated using the intertwining operators in terms of 2x2-matrix superpotential in the algebraic framework of supersymmetry in quantum mechanics. Also, a non-BPS state is found to be non-stable via fluctuation hessian matrix.

[ { "created": "Mon, 20 May 2002 03:40:17 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 2002 20:08:45 GMT", "version": "v2" }, { "created": "Tue, 28 Jan 2003 17:00:47 GMT", "version": "v3" }, { "created": "Fri, 15 Jul 2005 20:14:05 GMT", "version": "v4" }, { "created": "Sun, 13 Nov 2005 13:48:40 GMT", "version": "v5" }, { "created": "Wed, 3 Jan 2007 02:31:45 GMT", "version": "v6" } ]

2011-07-28

[ [ "Dias", "G. S.", "" ], [ "Graça", "E. L.", "" ], [ "Rodrigues", "R. de Lima", "" ] ]

The connection between the supersymmetric quantum mechanics involving two-component eigenfunctions and the stability equation associated with two classical configurations is investigated, and a matrix superpotential is deduced. The issue of stability is ensured for the Bogomol'nyi-Prasad-Sommerfield (BPS) states on two domain walls in a scalar potential model containing up to fourth-order powers in the fields, which is explicit demonstrated using the intertwining operators in terms of 2x2-matrix superpotential in the algebraic framework of supersymmetry in quantum mechanics. Also, a non-BPS state is found to be non-stable via fluctuation hessian matrix.

17.175634

16.538544

16.524944

15.78678

16.558867

16.733566

15.928149

15.639769

15.645854

18.301228

14.596463

15.388436

16.39369

16.39415

15.795497

16.35804

15.710259

15.819489

16.32637

17.193092

14.818616

1611.09834

Achilleas Porfyriadis

Shahar Hadar, Achilleas P. Porfyriadis

Whirling orbits around twirling black holes from conformal symmetry

13 pages, 3 figures

null

10.1007/JHEP03(2017)014

null

hep-th astro-ph.HE gr-qc

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

Dynamics in the throat of rapidly rotating Kerr black holes is governed by an emergent near-horizon conformal symmetry. The throat contains unstable circular orbits at radii extending from the ISCO down to the light ring. We show that they are related by conformal transformations to physical plunges and osculating trajectories. These orbits have angular momentum arbitrarily higher than that of ISCO. Using the conformal symmetry we compute analytically the radiation produced by the physical orbits. We also present a simple formula for the full self-force on such trajectories in terms of the self-force on circular orbits.

[ { "created": "Tue, 29 Nov 2016 20:45:18 GMT", "version": "v1" } ]

2018-11-01

[ [ "Hadar", "Shahar", "" ], [ "Porfyriadis", "Achilleas P.", "" ] ]

Dynamics in the throat of rapidly rotating Kerr black holes is governed by an emergent near-horizon conformal symmetry. The throat contains unstable circular orbits at radii extending from the ISCO down to the light ring. We show that they are related by conformal transformations to physical plunges and osculating trajectories. These orbits have angular momentum arbitrarily higher than that of ISCO. Using the conformal symmetry we compute analytically the radiation produced by the physical orbits. We also present a simple formula for the full self-force on such trajectories in terms of the self-force on circular orbits.

12.769305

11.218915

13.272109

11.154301

12.229172

12.811752

15.064937

10.825087

12.002613

13.765956

13.412971

11.411654

11.850436

11.628523

11.631107

11.920886

11.536194

11.462209

11.931751

11.743512

11.921767

2305.10984

Zixuan Zhao

Song He, Jie Yang, Yu-Xuan Zhang, Zi-Xuan Zhao

Pseudo entropy of primary operators in $T\bar{T}$/$J\bar{T}$-deformed CFTs

36 pages, 3 figure, v2, modified section 5

null

hep-th

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

In this work, we investigate the time evolution of the pseudo-(R\'enyi) entropy after local primary operator quenches in 2D CFTs with $T\bar T/J\bar T$-deformation. Using perturbation theory, we analyze the corrections to the second pseudo-R\'enyi entropy at the late time, which exhibit a universal form, while its early-time behavior is model-dependent. Moreover, we uncover nontrivial time-dependent effects arising from the first-order deformation of the $k^{\rm th}$ pseudo-R\'enyi entropy at the late time. Additionally, drawing inspiration from the gravitational side, specifically the gluing of two cutoff AdS geometries, we investigate the $k^{\rm th}$ pseudo-R\'enyi entropy for vacuum states characterized by distinct $T\bar{T}$-deformation parameters, as well as for primary states acting on different deformed vacuum states. Our findings reveal additional corrections compared to the results of pseudo-R\'enyi entropy for globally deformed vacuum states.

[ { "created": "Thu, 18 May 2023 13:58:07 GMT", "version": "v1" }, { "created": "Thu, 7 Sep 2023 01:31:34 GMT", "version": "v2" } ]

2023-09-08

[ [ "He", "Song", "" ], [ "Yang", "Jie", "" ], [ "Zhang", "Yu-Xuan", "" ], [ "Zhao", "Zi-Xuan", "" ] ]

In this work, we investigate the time evolution of the pseudo-(R\'enyi) entropy after local primary operator quenches in 2D CFTs with $T\bar T/J\bar T$-deformation. Using perturbation theory, we analyze the corrections to the second pseudo-R\'enyi entropy at the late time, which exhibit a universal form, while its early-time behavior is model-dependent. Moreover, we uncover nontrivial time-dependent effects arising from the first-order deformation of the $k^{\rm th}$ pseudo-R\'enyi entropy at the late time. Additionally, drawing inspiration from the gravitational side, specifically the gluing of two cutoff AdS geometries, we investigate the $k^{\rm th}$ pseudo-R\'enyi entropy for vacuum states characterized by distinct $T\bar{T}$-deformation parameters, as well as for primary states acting on different deformed vacuum states. Our findings reveal additional corrections compared to the results of pseudo-R\'enyi entropy for globally deformed vacuum states.

10.134832

7.89518

9.713738

8.027794

8.364739

8.559537

8.045233

7.954766

7.908008

10.85622

8.169406

8.54777

8.946989

8.677692

8.791862

8.721744

8.576216

8.647456

8.677972

9.113719

8.435375

2012.07351

K. Narayan

A. Manu, K. Narayan, Partha Paul

Cosmological singularities, entanglement and quantum extremal surfaces

Latex, 29pgs, 3 figs; v2: minor clarifications, version to be published

null

10.1007/JHEP04(2021)200

null

hep-th

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

We study aspects of entanglement and extremal surfaces in various families of spacetimes exhibiting cosmological, Big-Crunch, singularities, in particular isotropic $AdS$ Kasner. The classical extremal surface dips into the bulk radial and time directions. Explicitly analysing the extremization equations in the semiclassical region far from the singularity, we find the surface bends in the direction away from the singularity. In the 2-dim cosmologies obtained by dimensional reduction of these and other singularities, we have studied quantum extremal surfaces by extremizing the generalized entropy. The resulting extremization shows the quantum extremal surfaces to always be driven to the semiclassical region far from the singularity. We give some comments and speculations on our analysis.

[ { "created": "Mon, 14 Dec 2020 09:08:11 GMT", "version": "v1" }, { "created": "Tue, 23 Mar 2021 13:36:38 GMT", "version": "v2" } ]

2021-05-05

[ [ "Manu", "A.", "" ], [ "Narayan", "K.", "" ], [ "Paul", "Partha", "" ] ]

We study aspects of entanglement and extremal surfaces in various families of spacetimes exhibiting cosmological, Big-Crunch, singularities, in particular isotropic $AdS$ Kasner. The classical extremal surface dips into the bulk radial and time directions. Explicitly analysing the extremization equations in the semiclassical region far from the singularity, we find the surface bends in the direction away from the singularity. In the 2-dim cosmologies obtained by dimensional reduction of these and other singularities, we have studied quantum extremal surfaces by extremizing the generalized entropy. The resulting extremization shows the quantum extremal surfaces to always be driven to the semiclassical region far from the singularity. We give some comments and speculations on our analysis.

16.129025

13.102153

19.405853

13.19185

14.001157

13.60001

13.680877

14.440739

13.287642

17.892391

13.406586

13.28165

15.985165

14.13928

13.940607

13.734052

13.927561

14.191324

14.039099

15.762898

13.406873

1101.3350

Pedro Pina Avelino

L. Sousa, P.P. Avelino

Evolution of domain wall networks: the PRS algorithm

4 pages

Phys.Rev.D81:087305,2010

10.1103/PhysRevD.81.087305

null

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

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

The Press-Ryden-Spergel (PRS) algorithm is a modification to the field theory equations of motion, parametrized by two parameters ($\alpha$ and $\beta$), implemented in numerical simulations of cosmological domain wall networks, in order to ensure a fixed comoving resolution. In this paper we explicitly demonstrate that the PRS algorithm provides the correct domain wall dynamics in $N+1$-dimensional Friedmann-Robertson-Walker (FRW) universes if $\alpha+\beta/2=N$, fully validating its use in numerical studies of cosmic domain evolution. We further show that this result is valid for generic thin featureless domain walls, independently of the Lagrangian of the model.

[ { "created": "Mon, 17 Jan 2011 23:06:42 GMT", "version": "v1" } ]

2015-05-27

[ [ "Sousa", "L.", "" ], [ "Avelino", "P. P.", "" ] ]

The Press-Ryden-Spergel (PRS) algorithm is a modification to the field theory equations of motion, parametrized by two parameters ($\alpha$ and $\beta$), implemented in numerical simulations of cosmological domain wall networks, in order to ensure a fixed comoving resolution. In this paper we explicitly demonstrate that the PRS algorithm provides the correct domain wall dynamics in $N+1$-dimensional Friedmann-Robertson-Walker (FRW) universes if $\alpha+\beta/2=N$, fully validating its use in numerical studies of cosmic domain evolution. We further show that this result is valid for generic thin featureless domain walls, independently of the Lagrangian of the model.

11.317302

9.507561

8.957905

8.822897

9.635912

9.044174

9.155103

9.811131

9.085397

9.189411

9.180575

8.695945

8.641786

8.713459

8.531555

8.68433

8.903751

8.768943

8.561562

9.280252

9.791166

hep-th/0611125

Gouranga Nayak

Fred Cooper (NSF, Washington D.C.), Gouranga C. Nayak (SUNY, Stony Brook)

Schwinger Mechanism in the Presence of Arbitrary Time Dependent Background Electric Field

11 pages latex, typos corrected

null

YITP-SB-06-49

hep-th hep-ph nucl-th

null

We study, for the first time, the Schwinger mechanism for the pair production of charged scalars in the presence of an arbitrary time-dependent background electric field E(t) by by directly evaluating the path integral. We obtain an exact non-perturbative result for the probability of charged scalar particle-antiparticle pair production per unit time per unit volume per unit transverse momentum (of the particle or antiparticle) from the arbitrary time dependent electric field E(t). We find that the exact non-perturbative result is independent of all the time derivatives d^nE(t)/dt^n, where n=1,2,....\infty. This result has the same functional dependence on E as the constant electric field E result with the replacement: E -> E(t).

[ { "created": "Mon, 13 Nov 2006 19:48:41 GMT", "version": "v1" }, { "created": "Wed, 6 Dec 2006 20:37:13 GMT", "version": "v2" } ]

2007-05-23

[ [ "Cooper", "Fred", "", "NSF, Washington D.C." ], [ "Nayak", "Gouranga C.", "", "SUNY, Stony\n Brook" ] ]

We study, for the first time, the Schwinger mechanism for the pair production of charged scalars in the presence of an arbitrary time-dependent background electric field E(t) by by directly evaluating the path integral. We obtain an exact non-perturbative result for the probability of charged scalar particle-antiparticle pair production per unit time per unit volume per unit transverse momentum (of the particle or antiparticle) from the arbitrary time dependent electric field E(t). We find that the exact non-perturbative result is independent of all the time derivatives d^nE(t)/dt^n, where n=1,2,....\infty. This result has the same functional dependence on E as the constant electric field E result with the replacement: E -> E(t).

5.683778

4.551938

4.893951

5.120749

4.230302

4.573686

4.370051

4.720526

4.594996

6.25569

5.319658

5.340582

5.66578

5.444079

4.964792

5.19382

5.152579

5.368631

5.188691

5.619544

5.30484

1301.2686

Shin'ichi Nojiri

Shin'ichi Nojiri and Emmanuel N. Saridakis

Phantom without ghost

LaTeX 7 pages, version published in Astrophys.Space Sci

Astrophysics and Space Science, Volume 347, Issue 1 , pp 221-226, 2013

10.1007/s10509-013-1509-z

null

hep-th astro-ph.CO gr-qc

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

The Nine-Year WMAP results combined with other cosmological data seem to indicate an enhanced favor for the phantom regime, comparing to previous analyses. This behavior, unless reversed by future observational data, suggests to consider the phantom regime more thoroughly. In this work we provide three modified gravitational scenarios in which we obtain the phantom realization without the appearance of ghosts degrees of freedom, which plague the naive approaches on the subject, namely the Brans-Dicke type gravity, the scalar-Einstein-Gauss-Bonnet gravity, and the $F(R)$ gravity, which are moreover free of perturbative instabilities. The phantom regime seems to favor the gravitational modification instead of the universe-content alteration.

[ { "created": "Sat, 12 Jan 2013 13:31:20 GMT", "version": "v1" }, { "created": "Sat, 3 Aug 2013 20:57:16 GMT", "version": "v2" } ]

2013-08-06

[ [ "Nojiri", "Shin'ichi", "" ], [ "Saridakis", "Emmanuel N.", "" ] ]

The Nine-Year WMAP results combined with other cosmological data seem to indicate an enhanced favor for the phantom regime, comparing to previous analyses. This behavior, unless reversed by future observational data, suggests to consider the phantom regime more thoroughly. In this work we provide three modified gravitational scenarios in which we obtain the phantom realization without the appearance of ghosts degrees of freedom, which plague the naive approaches on the subject, namely the Brans-Dicke type gravity, the scalar-Einstein-Gauss-Bonnet gravity, and the $F(R)$ gravity, which are moreover free of perturbative instabilities. The phantom regime seems to favor the gravitational modification instead of the universe-content alteration.

18.808197

18.556534

15.710315

14.218117

16.426054

15.324379

17.576546

15.874832

15.608068

16.238791

17.149939

15.769013

14.561489

14.713067

14.547698

15.315496

15.473805

15.373016

15.535494

14.44193

17.454021

1508.07410

Spyridon Talaganis

Quantum Loops in Non-Local Gravity

Contribution to the Proceedings of the "Corfu 2014" Conference in Corfu, Greece, September 2014; v2: minor revisions

PoS CORFU2014 (2015) 162

null

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

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

In this proceedings, I will consider quantum aspects of a non-local, infinite-derivative scalar field theory - a ${\it toy \, model}$ depiction of a covariant infinite-derivative, non-local extension of Einstein's general relativity which has previously been shown to be free from ghosts around the Minkowski background. The graviton propagator in this theory gets an exponential suppression making it ${\it asymptotically \, free}$, thus providing strong prospects of resolving various classical and quantum divergences. In particular, I will find that at $1$-loop, the $2$-point function is still divergent, but once this amplitude is renormalized by adding appropriate counter terms, the ultraviolet (UV) behavior of all other $1$-loop diagrams as well as the $2$-loop, $2$-point function remains well under control. I will go on to discuss how one may be able to generalize our computations and arguments to arbitrary loops.

[ { "created": "Sat, 29 Aug 2015 06:24:29 GMT", "version": "v1" }, { "created": "Fri, 9 Sep 2016 13:17:58 GMT", "version": "v2" } ]

2016-09-12

[ [ "Talaganis", "Spyridon", "" ] ]

In this proceedings, I will consider quantum aspects of a non-local, infinite-derivative scalar field theory - a ${\it toy \, model}$ depiction of a covariant infinite-derivative, non-local extension of Einstein's general relativity which has previously been shown to be free from ghosts around the Minkowski background. The graviton propagator in this theory gets an exponential suppression making it ${\it asymptotically \, free}$, thus providing strong prospects of resolving various classical and quantum divergences. In particular, I will find that at $1$-loop, the $2$-point function is still divergent, but once this amplitude is renormalized by adding appropriate counter terms, the ultraviolet (UV) behavior of all other $1$-loop diagrams as well as the $2$-loop, $2$-point function remains well under control. I will go on to discuss how one may be able to generalize our computations and arguments to arbitrary loops.

9.592036

6.832383

9.33616

7.705138

8.986269

6.521222

6.303991

7.174227

7.631657

10.033069

7.771513

8.454454

9.215758

8.719672

8.745053

8.355588

8.388527

8.357023

8.546237

8.924096

8.62252

1710.05568

Chrysoula Markou

Ignatios Antoniadis, Antonio Delgado, Chrysoula Markou, Stefan Pokorski

The effective supergravity of Little String Theory

null

10.1140/epjc/s10052-018-5632-4

null

hep-th gr-qc hep-ph

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

In this work we present the minimal supersymmetric extension of the five-dimensional dilaton-gravity theory that captures the main properties of the holographic dual of little string theory. It is described by a particular gauging of $\mathcal{N}=2$ supergravity coupled with one vector multiplet associated to the string dilaton, along the $U(1)$ subgroup of $SU(2)$ R-symmetry. The linear dilaton in the fifth coordinate solution of the equations of motion (with flat string frame metric) breaks half of the supersymmetries to $\mathcal{N}=1$ in four dimensions. The non-supersymmetric version of this model was found recently as a continuum limit of a discretised version of the so-called clockwork setup.

[ { "created": "Mon, 16 Oct 2017 08:45:56 GMT", "version": "v1" } ]

2018-04-04

[ [ "Antoniadis", "Ignatios", "" ], [ "Delgado", "Antonio", "" ], [ "Markou", "Chrysoula", "" ], [ "Pokorski", "Stefan", "" ] ]

In this work we present the minimal supersymmetric extension of the five-dimensional dilaton-gravity theory that captures the main properties of the holographic dual of little string theory. It is described by a particular gauging of $\mathcal{N}=2$ supergravity coupled with one vector multiplet associated to the string dilaton, along the $U(1)$ subgroup of $SU(2)$ R-symmetry. The linear dilaton in the fifth coordinate solution of the equations of motion (with flat string frame metric) breaks half of the supersymmetries to $\mathcal{N}=1$ in four dimensions. The non-supersymmetric version of this model was found recently as a continuum limit of a discretised version of the so-called clockwork setup.

7.260147

7.284914

7.913153

6.711358

7.428526

7.282135

7.087618

7.093843

7.021154

8.594474

7.099579

7.00234

7.590795

7.120919

6.785006

6.836569

6.9654

6.817435

7.258268

7.476234

6.903963

hep-th/0109032

Taejin Lee

Taejin Lee, K. S. Viswanathan and Yi Yang

Boundary String Field Theory at One-loop

14 pages, 2 figure, new comments and figure added

J.KoreanPhys.Soc.42:34-40,2003

null

hep-th

null

We discuss the open string one-loop partition function in tachyon condensation background of a unstable D-brane system. We evaluate the partition function by using the boundary state formulation and find that it is in complete agreement with the result obtained in the boundary string field theory. It suggests that the open string higher loop diagrams may be produced consistently by a closed string field theory, where the D-brane plays a role of source for the closed string field.

[ { "created": "Wed, 5 Sep 2001 05:21:13 GMT", "version": "v1" }, { "created": "Tue, 30 Oct 2001 10:49:20 GMT", "version": "v2" } ]

2008-11-26

[ [ "Lee", "Taejin", "" ], [ "Viswanathan", "K. S.", "" ], [ "Yang", "Yi", "" ] ]

We discuss the open string one-loop partition function in tachyon condensation background of a unstable D-brane system. We evaluate the partition function by using the boundary state formulation and find that it is in complete agreement with the result obtained in the boundary string field theory. It suggests that the open string higher loop diagrams may be produced consistently by a closed string field theory, where the D-brane plays a role of source for the closed string field.

7.960558

7.279715

9.933544

6.930447

6.916373

7.314651

7.298354

6.850714

6.804641

9.725971

6.726859

7.175124

8.451034

7.204476

7.32333

7.131956

7.115312

7.165249

7.097465

8.788424

6.880293

1211.2239

Konstantinos Zoubos

Heidar Moradi and Konstantinos Zoubos

Three-Point Functions in N=2 Higher-Spin Holography

40 pages; This work is based on the first author's MSc thesis, submitted to the Niels Bohr Institute, University of Copenhagen, in November 2012. v2: References added. v3: Minor typos fixed

JHEP 1304 (2013) 018

10.1007/JHEP04(2013)018

null

hep-th

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

The CP^N Kazama-Suzuki models with the non-linear chiral algebra SW_infinity[lambda] have been conjectured to be dual to the fully supersymmetric Prokushkin-Vasiliev theory of higher-spin gauge fields coupled to two massive N=2 multiplets on AdS_3. We perform a non-trivial check of this duality by computing three-point functions containing one higher-spin gauge field for arbitrary spin s and deformation parameter lambda from the bulk theory, and from the boundary using a free ghost system based on the linear sw_infinity[lambda] algebra. We find an exact match between the two computations. In the 't Hooft limit, the three-point functions only depend on the wedge subalgebra shs[lambda] and the results are equivalent for any theory with such a subalgebra. In the process we also find the emergence of N=2 superconformal symmetry near the AdS_3 boundary by computing holographic OPE's, consistently with a recent analysis of asymptotic symmetries of higher-spin supergravity.

[ { "created": "Fri, 9 Nov 2012 21:05:00 GMT", "version": "v1" }, { "created": "Tue, 20 Nov 2012 16:52:38 GMT", "version": "v2" }, { "created": "Thu, 31 Jan 2013 16:52:28 GMT", "version": "v3" } ]

2013-06-19

[ [ "Moradi", "Heidar", "" ], [ "Zoubos", "Konstantinos", "" ] ]

The CP^N Kazama-Suzuki models with the non-linear chiral algebra SW_infinity[lambda] have been conjectured to be dual to the fully supersymmetric Prokushkin-Vasiliev theory of higher-spin gauge fields coupled to two massive N=2 multiplets on AdS_3. We perform a non-trivial check of this duality by computing three-point functions containing one higher-spin gauge field for arbitrary spin s and deformation parameter lambda from the bulk theory, and from the boundary using a free ghost system based on the linear sw_infinity[lambda] algebra. We find an exact match between the two computations. In the 't Hooft limit, the three-point functions only depend on the wedge subalgebra shs[lambda] and the results are equivalent for any theory with such a subalgebra. In the process we also find the emergence of N=2 superconformal symmetry near the AdS_3 boundary by computing holographic OPE's, consistently with a recent analysis of asymptotic symmetries of higher-spin supergravity.

11.016543

10.439802

12.567119

10.051133

10.809093

10.695558

10.275898

10.50107

9.822108

14.082481

10.050487

10.365706

11.643885

10.475454

10.378098

10.379911

10.629966

9.833557

10.240195

11.068602

10.061159

1607.00237

Sayantan Choudhury

Sayantan Choudhury, Sudhakar Panda, Rajeev Singh

Bell violation in the Sky

202 pages, 16 figures, 1 table, Accepted for publication in European Physical Journal C

Eur.Phys.J. C77 (2017) no.2, 60

10.1140/epjc/s10052-016-4553-3

TIFR/TH/16-19

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

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

In this work, we have studied the possibility of setting up Bell's inequality violating experiment in the context of cosmology, based on the basic principles of quantum mechanics. First we start with the physical motivation of implementing the Bell's inequality violation in the context of cosmology. Then to set up the cosmological Bell violating test experiment we introduce a model independent theoretical framework using which we have studied the creation of new massive particles by implementing the WKB approximation method for the scalar fluctuations in presence of additional time dependent mass contribution. Next using the background scalar fluctuation in presence of new time dependent mass contribution, we explicitly compute the expression for the one point and two point correlation functions. Furthermore, using the results for one point function we introduce a new theoretical cosmological parameter which can be expressed in terms of the other known inflationary observables and can also be treated as a future theoretical probe to break the degeneracy amongst various models of inflation. Additionally, we also fix the scale of inflation in a model independent way without any prior knowledge of primordial gravitational waves. Next, we also comment on the technicalities of measurements from isospin breaking interactions and the future prospects of newly introduced massive particles in cosmological Bell violating test experiment. Further, we cite a precise example of this set up applicable in the context of string theory motivated axion monodromy model. Then we comment on the explicit role of decoherence effect and high spin on cosmological Bell violating test experiment. In fine, we provide a theoretical bound on the heavy particle mass parameter for scalar fields, graviton and other high spin fields from our proposed setup.

[ { "created": "Fri, 1 Jul 2016 13:31:33 GMT", "version": "v1" }, { "created": "Sat, 3 Dec 2016 12:19:53 GMT", "version": "v2" } ]

2017-02-21

[ [ "Choudhury", "Sayantan", "" ], [ "Panda", "Sudhakar", "" ], [ "Singh", "Rajeev", "" ] ]

In this work, we have studied the possibility of setting up Bell's inequality violating experiment in the context of cosmology, based on the basic principles of quantum mechanics. First we start with the physical motivation of implementing the Bell's inequality violation in the context of cosmology. Then to set up the cosmological Bell violating test experiment we introduce a model independent theoretical framework using which we have studied the creation of new massive particles by implementing the WKB approximation method for the scalar fluctuations in presence of additional time dependent mass contribution. Next using the background scalar fluctuation in presence of new time dependent mass contribution, we explicitly compute the expression for the one point and two point correlation functions. Furthermore, using the results for one point function we introduce a new theoretical cosmological parameter which can be expressed in terms of the other known inflationary observables and can also be treated as a future theoretical probe to break the degeneracy amongst various models of inflation. Additionally, we also fix the scale of inflation in a model independent way without any prior knowledge of primordial gravitational waves. Next, we also comment on the technicalities of measurements from isospin breaking interactions and the future prospects of newly introduced massive particles in cosmological Bell violating test experiment. Further, we cite a precise example of this set up applicable in the context of string theory motivated axion monodromy model. Then we comment on the explicit role of decoherence effect and high spin on cosmological Bell violating test experiment. In fine, we provide a theoretical bound on the heavy particle mass parameter for scalar fields, graviton and other high spin fields from our proposed setup.

12.49669

12.209903

12.97847

12.334426

12.166881

12.400694

12.460745

11.675841

12.287207

13.885148

11.767538

12.493302

12.268893

11.927337

11.850102

12.025221

11.964071

12.025863

12.123637

12.143218

12.046818

hep-th/0609039

Kazuhito Fujiwara

Partial Breaking of N=2 Supersymmetry and Decoupling Limit of Nambu-Goldstone Fermion in U(N) Gauge Model

10 pages,revised version to appear in Nuclear Physics B

Nucl.Phys.B770:145-153,2007

10.1016/j.nuclphysb.2007.02.007

OCU-PHYS 254

hep-th

null

We study the N=1 U(N) gauge model obtained by spontaneous breaking of N=2 supersymmetry. The Fayet-Iliopoulos term included in the N=2 action does not appear in the action on the N=1 vacuum and the superpotential is modified to break discrete R symmetry. We take a limit in which the Kahler metric becomes flat and the superpotential preserves non-trivial form. The Nambu-Goldstone fermion is decoupled from other fields but the resulting action is still N=1 supersymmetric. It shows the origin of the fermionic shift symmetry in N=1 U(N) gauge theory.

[ { "created": "Tue, 5 Sep 2006 16:57:24 GMT", "version": "v1" }, { "created": "Mon, 12 Mar 2007 05:00:01 GMT", "version": "v2" } ]

2008-11-26

[ [ "Fujiwara", "Kazuhito", "" ] ]

We study the N=1 U(N) gauge model obtained by spontaneous breaking of N=2 supersymmetry. The Fayet-Iliopoulos term included in the N=2 action does not appear in the action on the N=1 vacuum and the superpotential is modified to break discrete R symmetry. We take a limit in which the Kahler metric becomes flat and the superpotential preserves non-trivial form. The Nambu-Goldstone fermion is decoupled from other fields but the resulting action is still N=1 supersymmetric. It shows the origin of the fermionic shift symmetry in N=1 U(N) gauge theory.

7.971017

6.794179

8.21912

6.804933

7.421744

6.438947

6.872135

7.065044

6.885806

8.693227

7.078081

7.394424

7.979319

6.983975

7.166749

6.972058

7.27585

7.481737

7.060777

7.902685

7.066622

1510.02100

S\'ebastien Leurent

Vladimir Kazakov, Sebastien Leurent, Dmytro Volin

T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve

122 pages, 14 figures

J. High Energ. Phys. (2016) 2016: 44

10.1007/JHEP12(2016)044

null

hep-th math-ph math.MP

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

We propose an efficient grassmannian formalism for solution of bi-linear finite-difference Hirota equation (T-system) on T-shaped lattices related to the space of highest weight representations of $gl(K_1,K_2|M)$ superalgebra. The formalism is inspired by the quantum fusion procedure known from the integrable spin chains and is based on exterior forms of Baxter-like Q-functions. We find a few new interesting relations among the exterior forms of Q-functions and reproduce, using our new formalism, the Wronskian determinant solutions of Hirota equations known in the literature. Then we generalize this construction to the twisted Q-functions and demonstrate the subtleties of untwisting procedure on the examples of rational quantum spin chains with twisted boundary conditions. Using these observations, we generalize the recently discovered, in our paper with N. Gromov, AdS/CFT Quantum Spectral Curve for exact planar spectrum of AdS/CFT duality to the case of arbitrary Cartan twisting of AdS$_5\times$S$^5$ string sigma model. Finally, we successfully probe this formalism by reproducing the energy of gamma-twisted BMN vacuum at single-wrapping orders of weak coupling expansion.

[ { "created": "Wed, 7 Oct 2015 20:10:39 GMT", "version": "v1" }, { "created": "Tue, 31 May 2016 09:09:02 GMT", "version": "v2" } ]

2017-01-12

[ [ "Kazakov", "Vladimir", "" ], [ "Leurent", "Sebastien", "" ], [ "Volin", "Dmytro", "" ] ]

We propose an efficient grassmannian formalism for solution of bi-linear finite-difference Hirota equation (T-system) on T-shaped lattices related to the space of highest weight representations of $gl(K_1,K_2|M)$ superalgebra. The formalism is inspired by the quantum fusion procedure known from the integrable spin chains and is based on exterior forms of Baxter-like Q-functions. We find a few new interesting relations among the exterior forms of Q-functions and reproduce, using our new formalism, the Wronskian determinant solutions of Hirota equations known in the literature. Then we generalize this construction to the twisted Q-functions and demonstrate the subtleties of untwisting procedure on the examples of rational quantum spin chains with twisted boundary conditions. Using these observations, we generalize the recently discovered, in our paper with N. Gromov, AdS/CFT Quantum Spectral Curve for exact planar spectrum of AdS/CFT duality to the case of arbitrary Cartan twisting of AdS$_5\times$S$^5$ string sigma model. Finally, we successfully probe this formalism by reproducing the energy of gamma-twisted BMN vacuum at single-wrapping orders of weak coupling expansion.

11.670805

13.146984

15.231873

11.926848

13.221611

12.450455

13.192538

11.892601

12.120467

15.832294

12.000012

11.708528

11.574245

10.829934

11.288011

11.353603

11.262008

11.053632

10.910226

11.581857

11.74344

1306.6465

Jacob Sonnenschein

Yitzhak Frishman and Jacob Sonnenschein

Breaking conformal invariance- Large N Chern-Simons theory coupled to massive fundamental fermions

17 pages,2 figures, comments and acknowledgements added

null

10.1007/JHEP12(2013)091

WIS/05/13-MAY-DPPA, TAUP-2966/13

hep-th hep-ph

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

We analyze the theory of massive fermions in the fundamental representation coupled to a U(N) Chern-Simons gauge theory at level K. It is done in the large N, large K limits where \lambda=N/K is kept fixed. Following arXiv:1110.4386 we obtain the solution of a Schwinger-Dyson equation for the two point function, the exact expression for the fermion propagator and the partition function at finite temperature. We prove that in the large K limit there exists an infinite set of classically conserved high spin currents also when a mass is introduced, breaking the conformal invariance. In analogy to the seminal work of 't Hooft on two dimensional QCD, we write down a Bethe-Salpeter equation for the wave function of a "quark anti-quark" bound state. We show that unlike the two dimensional QCD case, the three dimensional Chern-Simons theory does not admit a confining spectrum.

[ { "created": "Thu, 27 Jun 2013 11:19:09 GMT", "version": "v1" }, { "created": "Sun, 21 Jul 2013 08:17:20 GMT", "version": "v2" } ]

2015-06-16

[ [ "Frishman", "Yitzhak", "" ], [ "Sonnenschein", "Jacob", "" ] ]

We analyze the theory of massive fermions in the fundamental representation coupled to a U(N) Chern-Simons gauge theory at level K. It is done in the large N, large K limits where \lambda=N/K is kept fixed. Following arXiv:1110.4386 we obtain the solution of a Schwinger-Dyson equation for the two point function, the exact expression for the fermion propagator and the partition function at finite temperature. We prove that in the large K limit there exists an infinite set of classically conserved high spin currents also when a mass is introduced, breaking the conformal invariance. In analogy to the seminal work of 't Hooft on two dimensional QCD, we write down a Bethe-Salpeter equation for the wave function of a "quark anti-quark" bound state. We show that unlike the two dimensional QCD case, the three dimensional Chern-Simons theory does not admit a confining spectrum.

6.793451

6.011719

7.489315

6.140012

6.928574

6.174757

6.261366

6.294108

6.247252

7.589575

6.225031

6.560125

6.883666

6.444195

6.573138

6.592524

6.48688

6.400774

6.455969

6.818972

6.320576

1706.00436

Massimo Porrati

Raphael Bousso and Massimo Porrati

Soft Hair as a Soft Wig

One reference added and other references updated. To appear in Classical and Quantum Gravity, focus issue on BMS asymptotic symmetries

null

10.1088/1361-6382/aa8be2

null

hep-th gr-qc

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

We consider large gauge transformations of gravity and electromagnetism in D=4 asymptotically flat spacetime. Already at the classical level, we identify a canonical transformation that decouples the soft variables from the hard dynamics. We find that only the soft dynamics is constrained by BMS or large U(1) charge conservation. Physically this corresponds to the fact that sufficiently long-wavelength photons or gravitons that are added to the in-state will simply pass through the interaction region; they scatter trivially in their own sector. This implies in particular that the large gauge symmetries bear no relevance to the black hole information paradox. We also present the quantum version of soft decoupling. As a consistency check, we show that the apparent mixing of soft and hard modes in the original variables arises entirely from the long range field of the hard charges, which is fixed by gauge invariance and so contains no additional information.

[ { "created": "Thu, 1 Jun 2017 18:00:05 GMT", "version": "v1" }, { "created": "Wed, 20 Sep 2017 17:25:53 GMT", "version": "v2" } ]

2017-10-25

[ [ "Bousso", "Raphael", "" ], [ "Porrati", "Massimo", "" ] ]

We consider large gauge transformations of gravity and electromagnetism in D=4 asymptotically flat spacetime. Already at the classical level, we identify a canonical transformation that decouples the soft variables from the hard dynamics. We find that only the soft dynamics is constrained by BMS or large U(1) charge conservation. Physically this corresponds to the fact that sufficiently long-wavelength photons or gravitons that are added to the in-state will simply pass through the interaction region; they scatter trivially in their own sector. This implies in particular that the large gauge symmetries bear no relevance to the black hole information paradox. We also present the quantum version of soft decoupling. As a consistency check, we show that the apparent mixing of soft and hard modes in the original variables arises entirely from the long range field of the hard charges, which is fixed by gauge invariance and so contains no additional information.

11.35546

10.378798

11.346638

11.279081

11.347877

10.663775

10.532782

10.672658

9.831953

12.050849

10.401021

11.040769

11.247971

10.94906

11.468455

11.004568

11.150132

10.744376

10.711676

11.474801

10.907323

hep-th/0405138

Calin Iuliu Lazaroiu

Manfred Herbst, Calin-Iuliu Lazaroiu, Wolfgang Lerche

D-brane effective action and tachyon condensation in topological minimal models

36 pages

JHEP0503:078,2005

10.1088/1126-6708/2005/03/078

CERN-PH-TH/2004-088, MAD-TH-04-5

hep-th

null

We study D-brane moduli spaces and tachyon condensation in B-type topological minimal models and their massive deformations. We show that any B-type brane is isomorphic with a direct sum of `minimal' branes, and that its moduli space is stratified according to the type of such decompositions. Using the Landau-Ginzburg formulation, we propose a closed formula for the effective deformation potential, defined as the generating function of tree-level open string amplitudes in the presence of D-branes. This provides a direct link to the categorical description, and can be formulated in terms of holomorphic matrix models. We also check that the critical locus of this potential reproduces the D-branes' moduli space as expected from general considerations. Using these tools, we perform a detailed analysis of a few examples, for which we obtain a complete algebro-geometric description of moduli spaces and strata.

[ { "created": "Sat, 15 May 2004 17:38:13 GMT", "version": "v1" } ]

2009-11-10

[ [ "Herbst", "Manfred", "" ], [ "Lazaroiu", "Calin-Iuliu", "" ], [ "Lerche", "Wolfgang", "" ] ]

We study D-brane moduli spaces and tachyon condensation in B-type topological minimal models and their massive deformations. We show that any B-type brane is isomorphic with a direct sum of `minimal' branes, and that its moduli space is stratified according to the type of such decompositions. Using the Landau-Ginzburg formulation, we propose a closed formula for the effective deformation potential, defined as the generating function of tree-level open string amplitudes in the presence of D-branes. This provides a direct link to the categorical description, and can be formulated in terms of holomorphic matrix models. We also check that the critical locus of this potential reproduces the D-branes' moduli space as expected from general considerations. Using these tools, we perform a detailed analysis of a few examples, for which we obtain a complete algebro-geometric description of moduli spaces and strata.

7.502549

7.136294

9.187982

7.326457

6.770387

7.133296

6.984076

7.107615

6.673486

9.042052

7.164086

7.386331

8.376819

7.084563

7.014084

7.316229

7.310246

7.182179

7.104795

7.78313

7.233322

hep-th/0509113

Bin Chen

Bin Chen, Ya-li He and Peng Zhang

Exactly Solvable Model of Superstring in Plane-wave Background with Linear Null Dilaton

35 pages, Latex; Acknowledgement added; Published version

Nucl.Phys.B741:269-296,2006

10.1016/j.nuclphysb.2006.02.019

null

hep-th

null

In this paper, we study an exactly solvable model of IIB superstring in a time-dependent plane-wave backgound with a constant self-dual Ramond-Ramond 5-form field strength and a linear dilaton in the light-like direction. This background keeps sixteen supersymmetries. In the light-cone gauge, the action is described by the two-dimensional free bosons and fermions with time-dependent masses. The model could be canonically quantized and its Hamiltonian is time-dependent with vanishing zero point energy. The spectrum of the excitations is symmetric between the bosonic and fermionic sector. The string mode creation turns out to be very small.

[ { "created": "Thu, 15 Sep 2005 13:17:08 GMT", "version": "v1" }, { "created": "Thu, 22 Sep 2005 09:22:12 GMT", "version": "v2" }, { "created": "Fri, 17 Feb 2006 09:41:24 GMT", "version": "v3" } ]

2008-11-26

[ [ "Chen", "Bin", "" ], [ "He", "Ya-li", "" ], [ "Zhang", "Peng", "" ] ]

In this paper, we study an exactly solvable model of IIB superstring in a time-dependent plane-wave backgound with a constant self-dual Ramond-Ramond 5-form field strength and a linear dilaton in the light-like direction. This background keeps sixteen supersymmetries. In the light-cone gauge, the action is described by the two-dimensional free bosons and fermions with time-dependent masses. The model could be canonically quantized and its Hamiltonian is time-dependent with vanishing zero point energy. The spectrum of the excitations is symmetric between the bosonic and fermionic sector. The string mode creation turns out to be very small.

7.537301

6.458951

8.406909

6.444482

6.67089

6.864748

6.90209

6.760225

6.899018

9.29272

6.778512

6.926008

7.608942

7.192716

6.788706

6.88255

6.942962

7.04621

6.939703

7.368474

7.090374

2209.10502

Dmitri Bykov

$\beta$-function of the level-zero Gross-Neveu model

36 pages, 8 figures

SciPost Phys. 15, 127 (2023)

10.21468/SciPostPhys.15.4.127

null

hep-th cond-mat.str-el math-ph math.MP

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

We explain that the supersymmetric $CP^{n-1}$ sigma model is directly related to the level-zero chiral Gross-Neveu (cGN) model. In particular, beta functions of the two theories should coincide. This is consistent with the one-loop-exactness of the $CP^{n-1}$ beta function and a conjectured all-loop beta function of cGN models. We perform an explicit four-loop calculation on the cGN side and discuss the renormalization scheme dependence that arises.

[ { "created": "Wed, 21 Sep 2022 16:57:52 GMT", "version": "v1" } ]

2023-10-04

[ [ "Bykov", "Dmitri", "" ] ]

We explain that the supersymmetric $CP^{n-1}$ sigma model is directly related to the level-zero chiral Gross-Neveu (cGN) model. In particular, beta functions of the two theories should coincide. This is consistent with the one-loop-exactness of the $CP^{n-1}$ beta function and a conjectured all-loop beta function of cGN models. We perform an explicit four-loop calculation on the cGN side and discuss the renormalization scheme dependence that arises.

9.11538

7.901248

9.723429

8.171868

9.120504

7.928392

7.795119

8.23472

7.734138

9.601829

7.821553

8.231395

9.016069

8.145309

8.302587

8.194371

8.040498

8.334818

8.432817

9.14091

7.955026

hep-th/0608189

Nelson Yokomizo de Oliveira

N. Yokomizo, P. Teotonio-Sobrinho, J. C. A. Barata

Topological low-temperature limit of Z(2) spin-gauge theory in three dimensions

10 pages, no figures

Phys.Rev.D75:125009,2007

10.1103/PhysRevD.75.125009

null

hep-th cond-mat.stat-mech

null

We study Z(2) lattice gauge theory on triangulations of a compact 3-manifold. We reformulate the theory algebraically, describing it in terms of the structure constants of a bidimensional vector space H equipped with algebra and coalgebra structures, and prove that in the low-temperature limit H reduces to a Hopf Algebra, in which case the theory becomes equivalent to a topological field theory. The degeneracy of the ground state is shown to be a topological invariant. This fact is used to compute the zeroth- and first-order terms in the low-temperature expansion of Z for arbitrary triangulations. In finite temperatures, the algebraic reformulation gives rise to new duality relations among classical spin models, related to changes of basis of H.

[ { "created": "Fri, 25 Aug 2006 19:10:02 GMT", "version": "v1" } ]

2008-11-26

[ [ "Yokomizo", "N.", "" ], [ "Teotonio-Sobrinho", "P.", "" ], [ "Barata", "J. C. A.", "" ] ]

We study Z(2) lattice gauge theory on triangulations of a compact 3-manifold. We reformulate the theory algebraically, describing it in terms of the structure constants of a bidimensional vector space H equipped with algebra and coalgebra structures, and prove that in the low-temperature limit H reduces to a Hopf Algebra, in which case the theory becomes equivalent to a topological field theory. The degeneracy of the ground state is shown to be a topological invariant. This fact is used to compute the zeroth- and first-order terms in the low-temperature expansion of Z for arbitrary triangulations. In finite temperatures, the algebraic reformulation gives rise to new duality relations among classical spin models, related to changes of basis of H.

9.460184

9.613683

9.829393

8.996592

10.178296

9.864426

9.57813

9.527218

9.172695

10.361279

9.365395

8.698385

9.187078

8.765962

8.801173

8.872376

8.893061

8.827518

8.885515

9.534688

8.531244

2312.05728

Elias Leite Mendon\c{c}a

H.V. Almeida Silva, D. Dalmazi, R.R. Lino dos Santos, E.L. Mendon\c{c}a

Generators of the Poincar\'e Group for arbitrary tensors and spinor-tensors

27 pages

null

hep-th

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

In this work, we systematically derive explicit expressions for the Poincar\'e Group generators on arbitrary-rank tensors and spinor-tensors in $D=3+1$ and $D=2+1$ spacetimes, thus generalizing previous works in the literature for the groups $ISO(3,1)$ and $ISO(2,1)$. From the Casimir eigenvalue equations, we demonstrate in a model-independent way the Fierz-Pauli constraints for massive particles for spins $\mathfrak{s}=5/2$, 3, and 4 in $D=3+1$ and helicities $\alpha=5/2$, 3, and 4 in $D=2+1$ dimensions. We also comment on the demonstration of the Fierz-Pauli constraints for the general case of arbitrary spin (helicity).

[ { "created": "Sun, 10 Dec 2023 02:23:22 GMT", "version": "v1" }, { "created": "Thu, 6 Jun 2024 11:01:36 GMT", "version": "v2" } ]

2024-06-07

[ [ "Silva", "H. V. Almeida", "" ], [ "Dalmazi", "D.", "" ], [ "Santos", "R. R. Lino dos", "" ], [ "Mendonça", "E. L.", "" ] ]

In this work, we systematically derive explicit expressions for the Poincar\'e Group generators on arbitrary-rank tensors and spinor-tensors in $D=3+1$ and $D=2+1$ spacetimes, thus generalizing previous works in the literature for the groups $ISO(3,1)$ and $ISO(2,1)$. From the Casimir eigenvalue equations, we demonstrate in a model-independent way the Fierz-Pauli constraints for massive particles for spins $\mathfrak{s}=5/2$, 3, and 4 in $D=3+1$ and helicities $\alpha=5/2$, 3, and 4 in $D=2+1$ dimensions. We also comment on the demonstration of the Fierz-Pauli constraints for the general case of arbitrary spin (helicity).

5.438983

5.33552

5.478477

5.296232

5.571632

5.602437

5.393843

4.725343

5.212302

5.444363

4.976814

5.081762

5.075029

5.171779

5.060486

5.171383

5.258512

5.184541

5.111019

5.131039

5.070987

0708.2181

Niels Obers

Roberto Emparan, Troels Harmark, Vasilis Niarchos, Niels A. Obers, Maria J. Rodriguez

The Phase Structure of Higher-Dimensional Black Rings and Black Holes

61 pages, 6 figures, latex. v2: Added refs., typos corrected, improved section 8. v3: minor changes, version appearing in JHEP

JHEP 0710:110,2007

10.1088/1126-6708/2007/10/110

null

hep-th

null

We construct an approximate solution for an asymptotically flat, neutral, thin rotating black ring in any dimension D>=5 by matching the near-horizon solution for a bent boosted black string, to a linearized gravity solution away from the horizon. The rotating black ring solution has a regular horizon of topology S^1 x S^{D-3} and incorporates the balancing condition of the ring as a zero-tension condition. For D=5 our method reproduces the thin ring limit of the exact black ring solution. For D>=6 we show that the black ring has a higher entropy than the Myers-Perry black hole in the ultra-spinning regime. By exploiting the correspondence between ultra-spinning black holes and black membranes on a two-torus, we take steps towards qualitatively completing the phase diagram of rotating blackfolds with a single angular momentum. We are led to propose a connection between MP black holes and black rings, and between MP black holes and black Saturns, through merger transitions involving two kinds of `pinched' black holes. More generally, the analogy suggests an infinite number of pinched black holes of spherical topology leading to a complicated pattern of connections and mergers between phases.

[ { "created": "Thu, 16 Aug 2007 12:11:02 GMT", "version": "v1" }, { "created": "Thu, 30 Aug 2007 10:00:26 GMT", "version": "v2" }, { "created": "Mon, 12 Nov 2007 08:31:39 GMT", "version": "v3" } ]

2010-02-03

[ [ "Emparan", "Roberto", "" ], [ "Harmark", "Troels", "" ], [ "Niarchos", "Vasilis", "" ], [ "Obers", "Niels A.", "" ], [ "Rodriguez", "Maria J.", "" ] ]

We construct an approximate solution for an asymptotically flat, neutral, thin rotating black ring in any dimension D>=5 by matching the near-horizon solution for a bent boosted black string, to a linearized gravity solution away from the horizon. The rotating black ring solution has a regular horizon of topology S^1 x S^{D-3} and incorporates the balancing condition of the ring as a zero-tension condition. For D=5 our method reproduces the thin ring limit of the exact black ring solution. For D>=6 we show that the black ring has a higher entropy than the Myers-Perry black hole in the ultra-spinning regime. By exploiting the correspondence between ultra-spinning black holes and black membranes on a two-torus, we take steps towards qualitatively completing the phase diagram of rotating blackfolds with a single angular momentum. We are led to propose a connection between MP black holes and black rings, and between MP black holes and black Saturns, through merger transitions involving two kinds of `pinched' black holes. More generally, the analogy suggests an infinite number of pinched black holes of spherical topology leading to a complicated pattern of connections and mergers between phases.

9.663941

9.633826

9.622117

9.512107

10.791893

9.683456

9.712438

9.603777

9.238135

11.127726

9.374354

9.217108

9.16575

9.194611

9.04302

9.364894

9.187734

9.132522

9.016861

9.437417

9.055021

2210.06581

Horatiu Stefan Nastase

Horatiu Nastase and Jacob Sonnenschein

CSBIon -- a charged soliton of the 3-dimensional CS + BI Abelian gauge theory

24 pages + Appendices, 5 figures; references added, typos corrected

null

10.1103/PhysRevD.107.125011

null

hep-th

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

In this paper, we construct a charged soliton with a finite energy and no delta function source in a pure Abelian gauge theory. Specifically, we first consider the 3-dimensional Abelian gauge theory, with a Maxwell term and a l evel $N$ CS term. We find a static solution that carries charge $N$, angular momentum $\frac{N}{2}$ and whose radius is $N$ independent. However, this solution has a divergent energy. In analogy to the replacement of the 4 dimensional Maxwell action with the BI action, which renders the classical energy of a point charge finite, for the 3 dimensional theory which includes a CS term such a replacement leads to a finite energy for the solution of above. We refer to this soliton as a CSBIon solution, representing a finite energy version of the fundamental (sourced) charged electron of Maxwell theory in 4 dimensions. In 3 dimensions the BI+CS action has a static charged solution with finite energy and no source, hence a soliton solution. The CSBIon, similar to its Maxwellian predecessor, has a charge $N$, angular momentum proportional to $N$ and an $N$-independent radius. We also present other nonlinear modifications of Maxwell theory that admit similar solitons. The CSBIon may be relevant in various holographic scenarios. In particular, it may describe a D6-brane wrapping an $S^4$ in a compactified D4-brane background. We believe that the CSBIon may play a role in condensed matter systems in 2+1 dimensions like graphene sheets.

[ { "created": "Wed, 12 Oct 2022 20:51:58 GMT", "version": "v1" }, { "created": "Mon, 22 May 2023 16:44:24 GMT", "version": "v2" } ]

2023-07-05

[ [ "Nastase", "Horatiu", "" ], [ "Sonnenschein", "Jacob", "" ] ]

In this paper, we construct a charged soliton with a finite energy and no delta function source in a pure Abelian gauge theory. Specifically, we first consider the 3-dimensional Abelian gauge theory, with a Maxwell term and a l evel $N$ CS term. We find a static solution that carries charge $N$, angular momentum $\frac{N}{2}$ and whose radius is $N$ independent. However, this solution has a divergent energy. In analogy to the replacement of the 4 dimensional Maxwell action with the BI action, which renders the classical energy of a point charge finite, for the 3 dimensional theory which includes a CS term such a replacement leads to a finite energy for the solution of above. We refer to this soliton as a CSBIon solution, representing a finite energy version of the fundamental (sourced) charged electron of Maxwell theory in 4 dimensions. In 3 dimensions the BI+CS action has a static charged solution with finite energy and no source, hence a soliton solution. The CSBIon, similar to its Maxwellian predecessor, has a charge $N$, angular momentum proportional to $N$ and an $N$-independent radius. We also present other nonlinear modifications of Maxwell theory that admit similar solitons. The CSBIon may be relevant in various holographic scenarios. In particular, it may describe a D6-brane wrapping an $S^4$ in a compactified D4-brane background. We believe that the CSBIon may play a role in condensed matter systems in 2+1 dimensions like graphene sheets.

9.139993

9.408541

9.991709

8.824458

9.818924

9.40504

9.309957

9.234253

8.875822

9.943748

8.864551

8.691731

8.845294

8.65517

8.654254

8.691382

8.637782

8.742801

8.618095

9.100045

8.704889

2106.03586

Lat\'evi Mohamed Lawson

Lat\'evi M.Lawson

Minimal and maximal lengths of quantum gravity from non-Hermitian position-dependent noncommutativity

25

null

hep-th cond-mat.mtrl-sci gr-qc math-ph math.MP quant-ph

http://creativecommons.org/licenses/by-nc-nd/4.0/

A minimum length scale of the order of Planck length is a feature of many models of quantum gravity that seek to unify quantum mechanics and gravitation. Recently, Perivolaropoulos in his seminal work [Phys. Rev.D 95, 103523 (2017)] predicted the simultaneous existence of minimal and maximal length measurements of quantum gravity. More recently, we have shown that both measurable lengths can be obtained from position-dependent noncommutativity [J. Phys. A: Math.Theor. 53, 115303 (2020)]. In this paper, we present an alternative derivation of these lengths from non-Hermitian position-dependent noncommutativity. We show that a simultaneous measurement of both lengths form a family of discrete spaces. In one hand, we show the similarities between the maximal uncertainty measurement and the classical properties of gravity. On the other hand, the connection between the minimal uncertainties and the non-Hermicity quantum mechanic scenarios. The existence of minimal uncertainties are the consequences of non-Hermicities of some operators that are generators of this noncommutativity. With an appropriate Dyson map, we demonstrate by a similarity transformation that the physically meaningfulness of dynamical quantum systems is generated by a hidden Hermitian position-dependent noncommutativity. This transformation preserves the properties of quantum gravity but removes the fuzziness induced by minimal uncertainty measurements at this scale. Finally, we study the eigenvalue problem of a free particle in a square-well potential in these new Hermitian variables.

[ { "created": "Mon, 7 Jun 2021 13:10:30 GMT", "version": "v1" }, { "created": "Wed, 22 Dec 2021 15:18:24 GMT", "version": "v2" } ]

2021-12-23

[ [ "Lawson", "Latévi M.", "" ] ]

A minimum length scale of the order of Planck length is a feature of many models of quantum gravity that seek to unify quantum mechanics and gravitation. Recently, Perivolaropoulos in his seminal work [Phys. Rev.D 95, 103523 (2017)] predicted the simultaneous existence of minimal and maximal length measurements of quantum gravity. More recently, we have shown that both measurable lengths can be obtained from position-dependent noncommutativity [J. Phys. A: Math.Theor. 53, 115303 (2020)]. In this paper, we present an alternative derivation of these lengths from non-Hermitian position-dependent noncommutativity. We show that a simultaneous measurement of both lengths form a family of discrete spaces. In one hand, we show the similarities between the maximal uncertainty measurement and the classical properties of gravity. On the other hand, the connection between the minimal uncertainties and the non-Hermicity quantum mechanic scenarios. The existence of minimal uncertainties are the consequences of non-Hermicities of some operators that are generators of this noncommutativity. With an appropriate Dyson map, we demonstrate by a similarity transformation that the physically meaningfulness of dynamical quantum systems is generated by a hidden Hermitian position-dependent noncommutativity. This transformation preserves the properties of quantum gravity but removes the fuzziness induced by minimal uncertainty measurements at this scale. Finally, we study the eigenvalue problem of a free particle in a square-well potential in these new Hermitian variables.

11.521492

12.624297

12.056811

11.172154

11.955918

11.496569

11.595093

11.21321

11.450483

13.131487

11.562279

11.472377

11.089835

10.882858

11.210484

11.29908

11.441491

10.892094

11.155378

11.081806

11.124368

2208.06712

Anna Pachol

Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi, Anna Pacho{\l}

Generalized quantum phase spaces for the $\kappa$-deformed extended Snyder model

11 pages, no figures, accepted version

Physics Letters B, Volume 838, 137709, 2023

10.1016/j.physletb.2023.137709

null

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

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

We describe, in an algebraic way, the $\kappa$-deformed extended Snyder models, that depend on three parameters $\beta, \kappa$ and $\lambda$, which in a suitable algebra basis are described by the de Sitter algebras ${o}(1,N)$. The commutation relations of the algebra contain a parameter $\lambda$, which is used for the calculations of perturbative expansions. For such $\kappa$-deformed extended Snyder models we consider the Heisenberg double with dual generalized momenta sector, and provide the respective generalized quantum phase space depending on three parameters mentioned above. Further, we study for these models an alternative Heisenberg double, with the algebra of functions on de Sitter group. In both cases we calculate the formulae for the cross commutation relations between generalized coordinate and momenta sectors, at linear order in $\lambda$. We demonstrate that in the commutators of quantum space-time coordinates and momenta of the quantum-deformed Heisenberg algebra the terms generated by $\kappa$-deformation are dominating over $\beta$-dependent ones for small values of $\lambda$.

[ { "created": "Sat, 13 Aug 2022 19:03:22 GMT", "version": "v1" }, { "created": "Fri, 3 Feb 2023 09:08:33 GMT", "version": "v2" } ]

2023-02-06

[ [ "Lukierski", "Jerzy", "" ], [ "Meljanac", "Stjepan", "" ], [ "Mignemi", "Salvatore", "" ], [ "Pachoł", "Anna", "" ] ]

We describe, in an algebraic way, the $\kappa$-deformed extended Snyder models, that depend on three parameters $\beta, \kappa$ and $\lambda$, which in a suitable algebra basis are described by the de Sitter algebras ${o}(1,N)$. The commutation relations of the algebra contain a parameter $\lambda$, which is used for the calculations of perturbative expansions. For such $\kappa$-deformed extended Snyder models we consider the Heisenberg double with dual generalized momenta sector, and provide the respective generalized quantum phase space depending on three parameters mentioned above. Further, we study for these models an alternative Heisenberg double, with the algebra of functions on de Sitter group. In both cases we calculate the formulae for the cross commutation relations between generalized coordinate and momenta sectors, at linear order in $\lambda$. We demonstrate that in the commutators of quantum space-time coordinates and momenta of the quantum-deformed Heisenberg algebra the terms generated by $\kappa$-deformation are dominating over $\beta$-dependent ones for small values of $\lambda$.

10.284096

10.270646

10.502575

9.350573

10.211969

10.028867

9.625813

9.972284

9.88735

11.838886

10.081981

9.822757

9.815434

9.683867

9.910479

9.970221

9.727643

10.037326

9.579062

9.707367

9.88213

hep-th/0402015

Scott Watson

UV Perturbations in Brane Gas Cosmology

21 pages, 5 figures

Phys.Rev. D70 (2004) 023516

10.1103/PhysRevD.70.023516

null

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

null

We consider the effect of the ultraviolet (UV) or short wavelength modes on the background of Brane Gas Cosmology. We find that the string matter sources are negligible in the UV and that the evolution is given primarily by the dilaton perturbation. We also find that the linear perturbations are well behaved and the predictions of Brane Gas Cosmology are robust against the introduction of linear perturbations. In particular, we find that the stabilization of the extra dimensions (moduli) remains valid in the presence of dilaton and string perturbations.

[ { "created": "Mon, 2 Feb 2004 19:12:47 GMT", "version": "v1" } ]

2009-11-10

[ [ "Watson", "Scott", "" ] ]

We consider the effect of the ultraviolet (UV) or short wavelength modes on the background of Brane Gas Cosmology. We find that the string matter sources are negligible in the UV and that the evolution is given primarily by the dilaton perturbation. We also find that the linear perturbations are well behaved and the predictions of Brane Gas Cosmology are robust against the introduction of linear perturbations. In particular, we find that the stabilization of the extra dimensions (moduli) remains valid in the presence of dilaton and string perturbations.

9.299467

8.226188

10.170158

8.396091

8.444792

9.095603

9.119927

8.32176

8.355057

11.315838

8.213957

9.138665

9.275008

8.710532

8.538225

8.899415

8.635037

8.724739

8.893702

9.666492

8.66271

hep-th/0404214

Diego Hofman

Diego M. Hofman and Carmen A. Nunez

Free field realization of superstring theory on AdS3

40 pages, typos corrected, references added, minor changes in presentation and details completed in the calculation of the R sector 2-point function. Version to appear in JHEP

JHEP 0407:019,2004

10.1088/1126-6708/2004/07/019

null

hep-th

null

The Coulomb gas representation of expectation values in SU(2) conformal field theory developed by Dotsenko is extended to the SL(2,R) WZW model and applied to bosonic string theory on AdS3 and to Type II superstrings on AdS3 x N. The spectral flow symmetry is included in the free field realization of vertex operators creating superstring states of both Ramond and Neveu-Schwarz sectors. Conjugate representations for these operators are constructed and a background charge prescription is designed to compute correlation functions. Two and three point functions of bosonic and fermionic string states in arbitrary winding sectors are calculated. Scattering amplitudes that violate winding number conservation are also discussed.

[ { "created": "Tue, 27 Apr 2004 19:30:52 GMT", "version": "v1" }, { "created": "Mon, 12 Jul 2004 19:04:42 GMT", "version": "v2" } ]

2009-11-10

[ [ "Hofman", "Diego M.", "" ], [ "Nunez", "Carmen A.", "" ] ]

The Coulomb gas representation of expectation values in SU(2) conformal field theory developed by Dotsenko is extended to the SL(2,R) WZW model and applied to bosonic string theory on AdS3 and to Type II superstrings on AdS3 x N. The spectral flow symmetry is included in the free field realization of vertex operators creating superstring states of both Ramond and Neveu-Schwarz sectors. Conjugate representations for these operators are constructed and a background charge prescription is designed to compute correlation functions. Two and three point functions of bosonic and fermionic string states in arbitrary winding sectors are calculated. Scattering amplitudes that violate winding number conservation are also discussed.

9.340355

9.144252

10.288108

8.594557

9.072867

8.669094

8.848293

9.226324

8.684425

11.417675

8.442934

8.662123

9.581346

8.9767

8.846646

8.550986

8.96153

8.914946

8.466744

9.700725

8.59702

1308.2319

Aindri\'u Conroy Mr.

Tirthabir Biswas, Aindri\'u Conroy, Alexey S. Koshelev and Anupam Mazumdar

Generalized ghost-free quadratic curvature gravity

22 pages. Revised argument in section 3.1. Results unchanged

null

10.1088/0264-9381/31/1/015022

null

hep-th astro-ph.CO gr-qc

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

In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic freedom in the ultraviolet. We provide a detailed algorithm for deriving the equations of motion for such actions containing an arbitrary number of the covariant D'Alembertian operators, and this is our main result. We also perform a number of tests on the field equations we derive, including checking the Bianchi identities and the weak-field limit. Lastly, we consider the special subclass of ghost and asymptotically free theories of gravity by way of an example.

[ { "created": "Sat, 10 Aug 2013 14:07:52 GMT", "version": "v1" }, { "created": "Mon, 2 Jun 2014 13:32:54 GMT", "version": "v2" } ]

2015-06-16

[ [ "Biswas", "Tirthabir", "" ], [ "Conroy", "Aindriú", "" ], [ "Koshelev", "Alexey S.", "" ], [ "Mazumdar", "Anupam", "" ] ]

In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic freedom in the ultraviolet. We provide a detailed algorithm for deriving the equations of motion for such actions containing an arbitrary number of the covariant D'Alembertian operators, and this is our main result. We also perform a number of tests on the field equations we derive, including checking the Bianchi identities and the weak-field limit. Lastly, we consider the special subclass of ghost and asymptotically free theories of gravity by way of an example.

8.540905

8.535872

8.128779

7.64373

8.931825

8.252846

8.210483

8.037066

7.948154

8.331331

8.4207

8.301486

8.652741

8.217764

8.537456

8.587156

8.257443

8.016495

8.25415

8.187251

8.297611

hep-th/9109032

Igor Klebanov

I. R. Klebanov and A. M. Polyakov

Interaction of Discrete States in Two-Dimensional String Theory

12 pages

Mod.Phys.Lett. A6 (1991) 3273-3281

10.1142/S021773239100378X

null

hep-th

null

We study the couplings of discrete states that appear in the string theory embedded in two dimensions, and show that they are given by the structure constants of the group of area preserving diffeomorphisms. We propose an effective action for these states, which is itself invariant under this infinite-dimensional group.

[ { "created": "Thu, 19 Sep 1991 14:27:21 GMT", "version": "v1" } ]

2015-06-26

[ [ "Klebanov", "I. R.", "" ], [ "Polyakov", "A. M.", "" ] ]

We study the couplings of discrete states that appear in the string theory embedded in two dimensions, and show that they are given by the structure constants of the group of area preserving diffeomorphisms. We propose an effective action for these states, which is itself invariant under this infinite-dimensional group.

11.034961

9.840677

9.886617

9.03964

9.446084

10.126763

8.976619

9.113892

7.884084

11.46186

8.903111

9.577709

10.745442

9.849958

9.824084

10.044732

9.816484

9.105421

9.617887

9.902017

9.416436

2104.01953

Jason Kristiano

Jason Kristiano and Jun'ichi Yokoyama

Why Must Primordial Non-Gaussianity Be Very Small?

null

Phys. Rev. Lett. 128, 061301 (2022)

10.1103/PhysRevLett.128.061301

RESCEU-4/21

hep-th astro-ph.CO

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

One-loop correction to the power spectrum in generic single-field inflation is calculated by using standard perturbation theory. Because of the enhancement inversely proportional to the observed red tilt of the spectral index of curvature perturbation, the correction turns out to be much larger than previously anticipated. As a result, the primordial non-Gaussianity must be much smaller than the current observational bound in order to warrant the validity of cosmological perturbation theory.

[ { "created": "Mon, 5 Apr 2021 15:14:24 GMT", "version": "v1" }, { "created": "Sat, 25 Sep 2021 05:46:40 GMT", "version": "v2" }, { "created": "Thu, 10 Feb 2022 15:37:07 GMT", "version": "v3" } ]

2022-02-11

[ [ "Kristiano", "Jason", "" ], [ "Yokoyama", "Jun'ichi", "" ] ]

One-loop correction to the power spectrum in generic single-field inflation is calculated by using standard perturbation theory. Because of the enhancement inversely proportional to the observed red tilt of the spectral index of curvature perturbation, the correction turns out to be much larger than previously anticipated. As a result, the primordial non-Gaussianity must be much smaller than the current observational bound in order to warrant the validity of cosmological perturbation theory.

8.033761

8.51911

8.250433

7.59445

7.582685

7.042219

7.844428

7.772547

7.341881

8.446703

7.536165

7.535297

8.044252

7.332796

7.424999

7.182424

7.461802

7.495081

7.644275

7.764601

7.860705

1604.07841

Zhong-Zhi Xianyu

Xingang Chen, Yi Wang, Zhong-Zhi Xianyu

Loop Corrections to Standard Model Fields in Inflation

34 pages. Typos corrected. Discussions in Sec. 5 expanded. JHEP published version

JHEP 1608 (2016) 051

10.1007/JHEP08(2016)051

null

hep-th astro-ph.CO hep-ph

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

We calculate 1-loop corrections to the Schwinger-Keldysh propagators of Standard-Model-like fields of spin-0, 1/2, and 1, with all renormalizable interactions during inflation. We pay special attention to the late-time divergences of loop corrections, and show that the divergences can be resummed into finite results in the late-time limit using dynamical renormalization group method. This is our first step toward studying both the standard model and new physics in the primordial universe.

[ { "created": "Tue, 26 Apr 2016 20:08:55 GMT", "version": "v1" }, { "created": "Sat, 13 Aug 2016 16:15:54 GMT", "version": "v2" } ]

2016-08-16

[ [ "Chen", "Xingang", "" ], [ "Wang", "Yi", "" ], [ "Xianyu", "Zhong-Zhi", "" ] ]

We calculate 1-loop corrections to the Schwinger-Keldysh propagators of Standard-Model-like fields of spin-0, 1/2, and 1, with all renormalizable interactions during inflation. We pay special attention to the late-time divergences of loop corrections, and show that the divergences can be resummed into finite results in the late-time limit using dynamical renormalization group method. This is our first step toward studying both the standard model and new physics in the primordial universe.

8.765141

8.578905

7.927293

7.778964

8.214407

8.998032

9.069394

8.405083

8.330586

8.806941

8.271965

7.791859

7.738615

7.822133

7.84623

8.006955

8.10757

7.894358

7.975648

8.498523

8.082937

hep-th/9212141

null

Leonardo Castellani

U_q(N) Gauge Theories

7pp., plain TeX, DFTT-74/92

Mod.Phys.Lett. A9 (1994) 2835-2848

10.1142/S0217732394002689

null

hep-th

null

Improving on an earlier proposal, we construct the gauge theories of the quantum groups $U_q(N)$. We find that these theories are consistent also with an ordinary (commuting) spacetime. The bicovariance conditions of the quantum differential calculus are essential in our construction. The gauge potentials and the field strengths are $q$-commuting ``fields", and satisfy $q$-commutation relations with the gauge parameters. The transformation rules of the potentials are given explicitly, and generalize the ordinary infinitesimal gauge variations. The $q$-lagrangian invariant under the $U_q(N)$ variations has the Yang-Mills form $\Fmn^i \Fmn^j g_{ij}$, the ``quantum metric'' $g_{ij}$ being a generalization of the Killing metric.

[ { "created": "Wed, 23 Dec 1992 11:26:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Castellani", "Leonardo", "" ] ]

Improving on an earlier proposal, we construct the gauge theories of the quantum groups $U_q(N)$. We find that these theories are consistent also with an ordinary (commuting) spacetime. The bicovariance conditions of the quantum differential calculus are essential in our construction. The gauge potentials and the field strengths are $q$-commuting ``fields", and satisfy $q$-commutation relations with the gauge parameters. The transformation rules of the potentials are given explicitly, and generalize the ordinary infinitesimal gauge variations. The $q$-lagrangian invariant under the $U_q(N)$ variations has the Yang-Mills form $\Fmn^i \Fmn^j g_{ij}$, the ``quantum metric'' $g_{ij}$ being a generalization of the Killing metric.

9.892375

11.057734

9.14945

8.738931

9.998787

10.85682

10.219235

9.638579

9.130368

11.180457

9.792398

8.678241

8.984858

8.998153

9.076003

9.016743

8.659753

8.734198

9.074378

9.367033

9.315169

1003.5547

Donovan Young

Abhishek Agarwal, Donovan Young

SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling

37 pages, 1 figure. v2 some minor improvements to the text, version to appear in Phys.Rev.D

Phys.Rev.D82:045024,2010

10.1103/PhysRevD.82.045024

HU-EP-10/15

hep-th

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

We consider the dimensional reductions of N=4 Supersymmetric Yang-Mills theory on R x S^3 to the three-dimensional theory on R x S^2, the orbifolded theory on R x S^3/Z_k, and the plane-wave matrix model. With explicit emphasis on the three-dimensional theory, we demonstrate the realization of the SU(2|3) algebra in a radial Hamiltonian framework. Using this structure we constrain the form of the spin chains, their S-matrices, and the corresponding one- and two-loop Hamiltonian of the three dimensional theory and find putative signs of integrability up to the two-loop order. The string duals of these theories admit the IIA plane-wave geometry as their Penrose limit. Using known results for strings quantized on this background, we explicitly construct the strong-coupling dual extended SU(2|2) algebra and discuss its implications for the gauge theories.

[ { "created": "Mon, 29 Mar 2010 14:14:16 GMT", "version": "v1" }, { "created": "Wed, 28 Jul 2010 11:56:47 GMT", "version": "v2" } ]

2015-03-13

[ [ "Agarwal", "Abhishek", "" ], [ "Young", "Donovan", "" ] ]

We consider the dimensional reductions of N=4 Supersymmetric Yang-Mills theory on R x S^3 to the three-dimensional theory on R x S^2, the orbifolded theory on R x S^3/Z_k, and the plane-wave matrix model. With explicit emphasis on the three-dimensional theory, we demonstrate the realization of the SU(2|3) algebra in a radial Hamiltonian framework. Using this structure we constrain the form of the spin chains, their S-matrices, and the corresponding one- and two-loop Hamiltonian of the three dimensional theory and find putative signs of integrability up to the two-loop order. The string duals of these theories admit the IIA plane-wave geometry as their Penrose limit. Using known results for strings quantized on this background, we explicitly construct the strong-coupling dual extended SU(2|2) algebra and discuss its implications for the gauge theories.

9.656491

9.919342

11.463187

9.447204

9.852112

9.684019

9.371521

9.064016

8.859365

12.090168

9.426738

9.886042

10.069333

9.282978

9.377759

9.634054

9.780753

9.586924

9.372714

9.933433

9.626668

hep-th/0511099

Keshav Dasgupta

Melanie Becker, Keshav Dasgupta, Sheldon Katz, Anke Knauf, Radu Tatar

Geometric Transitions, Flops and Non-Kahler Manifolds: II

85 pages, Harvmac, no figures, v2: New results added in sec. 2 and sec. 6, typos corrected and references added, v3: Preprint number added and some minor typos corrected. Final version to appear in Nucl. Phys. B

Nucl.Phys.B738:124-183,2006

10.1016/j.nuclphysb.2005.12.023

ILL-(TH)-05-5, LTH-682, MIFP-05-29, ZMP-HH/05-31

hep-th

null

We continue our study of geometric transitions in type II and heterotic theories. In type IIB theory we discuss an F-theory setup which clarifies many of our earlier assumptions and allows us to study gravity duals of N = 1 gauge theories with arbitrary global symmetry group G. We also point out the subtle differences between global and local metrics, and show that in many cases the global descriptions are far more complicated than discussed earlier. We determine the full global description in type I/heterotic theory. In type IIA, our analysis gives rise to a local non-Kahler metric whose global description involves a particular orientifold action with gauge fluxes localised on branes. We are also able to identify the three form fields that allow for a smooth flop in the M-theory lift. We briefly discuss the issues of generalised complex structures in type IIB theory and possible half-twisted models in the heterotic duals of our type II models. In a companion paper we will present details on the topological aspects of these models.

[ { "created": "Tue, 8 Nov 2005 21:58:57 GMT", "version": "v1" }, { "created": "Sun, 4 Dec 2005 06:15:12 GMT", "version": "v2" }, { "created": "Sun, 25 Dec 2005 21:41:57 GMT", "version": "v3" } ]

2008-11-26

[ [ "Becker", "Melanie", "" ], [ "Dasgupta", "Keshav", "" ], [ "Katz", "Sheldon", "" ], [ "Knauf", "Anke", "" ], [ "Tatar", "Radu", "" ] ]

We continue our study of geometric transitions in type II and heterotic theories. In type IIB theory we discuss an F-theory setup which clarifies many of our earlier assumptions and allows us to study gravity duals of N = 1 gauge theories with arbitrary global symmetry group G. We also point out the subtle differences between global and local metrics, and show that in many cases the global descriptions are far more complicated than discussed earlier. We determine the full global description in type I/heterotic theory. In type IIA, our analysis gives rise to a local non-Kahler metric whose global description involves a particular orientifold action with gauge fluxes localised on branes. We are also able to identify the three form fields that allow for a smooth flop in the M-theory lift. We briefly discuss the issues of generalised complex structures in type IIB theory and possible half-twisted models in the heterotic duals of our type II models. In a companion paper we will present details on the topological aspects of these models.

12.421522

12.841486

14.421127

11.417473

13.201317

12.923979

12.460302

12.003048

12.278628

15.992437

11.765858

11.891665

12.828689

12.372874

12.764993

12.636554

12.169953

12.34776

12.081489

13.09753

11.835833

hep-th/9310169

Noureddine Mohammedi

H. Arfaei and Noureddine Mohammedi

Gauss Decomposition, Wakimoto Realisation and Gauged WZNW Models

17 pages, BONN-HE-93-42

Mod.Phys.Lett. A9 (1994) 1009-1024

10.1142/S0217732394000848

null

hep-th

null

The implications of gauging the Wess-Zumino-Novikov-Witten (WZNW) model using the Gauss decomposition of the group elements are explored. We show that, contrary to standard gauging of WZNW models, this gauging is carried out by minimally coupling the gauge fields. We find that this gauging, in the case of gauging an abelian vector subgroup, differs from the standard one by terms proportional to the field strength of the gauge fields. We prove that gauging an abelian vector subgroup does not have a nonlinear sigma model interpretation. This is because the target-space metric resulting from the integration over the gauge fields is degenerate. We demonstrate, however, that this kind of gauging has a natural interpretation in terms of Wakimoto variables.

[ { "created": "Tue, 26 Oct 1993 15:07:50 GMT", "version": "v1" } ]

2015-06-26

[ [ "Arfaei", "H.", "" ], [ "Mohammedi", "Noureddine", "" ] ]

The implications of gauging the Wess-Zumino-Novikov-Witten (WZNW) model using the Gauss decomposition of the group elements are explored. We show that, contrary to standard gauging of WZNW models, this gauging is carried out by minimally coupling the gauge fields. We find that this gauging, in the case of gauging an abelian vector subgroup, differs from the standard one by terms proportional to the field strength of the gauge fields. We prove that gauging an abelian vector subgroup does not have a nonlinear sigma model interpretation. This is because the target-space metric resulting from the integration over the gauge fields is degenerate. We demonstrate, however, that this kind of gauging has a natural interpretation in terms of Wakimoto variables.

6.605502

6.24207

6.958983

5.931498

6.377687

6.190321

6.092837

5.910017

5.902593

6.798757

5.879933

5.945718

6.277574

6.024992

6.081762

6.145407

6.046491

5.903898

5.955996

6.302953

5.955508

1504.08114

Sergei Kuzenko

Sergei M. Kuzenko

Supersymmetric Spacetimes from Curved Superspace

21 pages, Contribution to proceedings of the Corfu Summer Institute 2014 "School and Workshops on Elementary Particle Physics and Gravity," 3-21 September 2014, Corfu, Greece

null

hep-th math-ph math.MP

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

We review the superspace technique to determine supersymmetric spacetimes in the framework of off-shell formulations for supergravity in diverse dimensions using the case of 3D N=2 supergravity theories as an illustrative example. This geometric formalism has several advantages over other approaches advocated in the last four years. Firstly, the infinitesimal isometry transformations of a given curved superspace form, by construction, a finite-dimensional Lie superalgebra, with its odd part corresponding to the rigid supersymmetry transformations. Secondly, the generalised Killing spinor equation, which must be obeyed by the supersymmetry parameters, is a consequence of the more fundamental superfield Killing equation. Thirdly, general rigid supersymmetric theories on a curved spacetime are readily constructed in superspace by making use of the known off-shell supergravity-matter couplings and restricting them to the background chosen. It is the superspace techniques which make it possible to generate arbitrary off-shell supergravity-matter couplings. Fourthly, all maximally supersymmetric Lorentzian spaces correspond to those off-shell supergravity backgrounds for which the Grassmann-odd components of the superspace torsion and curvature tensors vanish, while the Grassmann-even components of these tensors are annihilated by the spinor derivatives.

[ { "created": "Thu, 30 Apr 2015 08:31:32 GMT", "version": "v1" } ]

2015-05-01

[ [ "Kuzenko", "Sergei M.", "" ] ]

We review the superspace technique to determine supersymmetric spacetimes in the framework of off-shell formulations for supergravity in diverse dimensions using the case of 3D N=2 supergravity theories as an illustrative example. This geometric formalism has several advantages over other approaches advocated in the last four years. Firstly, the infinitesimal isometry transformations of a given curved superspace form, by construction, a finite-dimensional Lie superalgebra, with its odd part corresponding to the rigid supersymmetry transformations. Secondly, the generalised Killing spinor equation, which must be obeyed by the supersymmetry parameters, is a consequence of the more fundamental superfield Killing equation. Thirdly, general rigid supersymmetric theories on a curved spacetime are readily constructed in superspace by making use of the known off-shell supergravity-matter couplings and restricting them to the background chosen. It is the superspace techniques which make it possible to generate arbitrary off-shell supergravity-matter couplings. Fourthly, all maximally supersymmetric Lorentzian spaces correspond to those off-shell supergravity backgrounds for which the Grassmann-odd components of the superspace torsion and curvature tensors vanish, while the Grassmann-even components of these tensors are annihilated by the spinor derivatives.

9.106976

9.342783

10.377492

9.424372

9.197123

9.489564

9.952248

9.312495

9.267487

11.601576

8.936045

8.715194

9.654355

9.05323

9.066713

9.223901

9.206958

8.990802

8.956957

9.395795

9.030879

hep-th/9802055

Damir Rakityansky

Yu. A. Sitenko and D. G. Rakityansky

Induced Angular Momentum in (2+1)-Dimensional Spinor Electrodynamics in Curved Space

11 pages, AMSLaTeX

Phys.Atom.Nucl. 60 (1997) 247-269; Yad.Fiz. 60N2 (1997) 308-319

null

hep-th

null

Effects due to fermion-vacuum polarization by an external static magnetic field are considered in a two-dimensional noncompact curved space with a nontrivial topology. An expression for the vacuun angular momentum is obtained. Like the vacuum fermion number, it proves to be dependent on the global characteristics of the field and space.

[ { "created": "Mon, 9 Feb 1998 11:21:10 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sitenko", "Yu. A.", "" ], [ "Rakityansky", "D. G.", "" ] ]

Effects due to fermion-vacuum polarization by an external static magnetic field are considered in a two-dimensional noncompact curved space with a nontrivial topology. An expression for the vacuun angular momentum is obtained. Like the vacuum fermion number, it proves to be dependent on the global characteristics of the field and space.

13.669517

10.932311

13.799385

11.252018

12.64436

12.228457

11.554582

10.820284

10.001984

15.993392

10.563257

12.099356

13.50106

12.33437

12.209751

12.088819

13.028114

12.315642

11.827485

12.744705

11.829947

hep-th/9711043

Eric Bergshoeff

Eric Bergshoeff, Joaquim Gomis and Paul K. Townsend

M-brane intersections from worldvolume superalgebras

13 pages, Latex, version to appear in Physics Letters B

Phys.Lett. B421 (1998) 109-118

10.1016/S0370-2693(97)01591-8

ECM-UB-97/32, UG-9/97

hep-th

null

It is known that the M-branes of M-theory correspond to p-form charges in the D=11 spacetime supersymmetry algebra. Here we show that their intersections are encoded in the p-form charges of their worldvolume supersymmetry algebras. Triple intersections are encoded in double intersection worldvolume algebras with eight supercharges.

[ { "created": "Thu, 6 Nov 1997 17:57:22 GMT", "version": "v1" }, { "created": "Thu, 13 Nov 1997 11:28:56 GMT", "version": "v2" }, { "created": "Fri, 9 Jan 1998 11:23:09 GMT", "version": "v3" } ]

2009-10-30

[ [ "Bergshoeff", "Eric", "" ], [ "Gomis", "Joaquim", "" ], [ "Townsend", "Paul K.", "" ] ]

It is known that the M-branes of M-theory correspond to p-form charges in the D=11 spacetime supersymmetry algebra. Here we show that their intersections are encoded in the p-form charges of their worldvolume supersymmetry algebras. Triple intersections are encoded in double intersection worldvolume algebras with eight supercharges.

9.979672

9.467623

9.817126

7.681679

8.565996

8.430706

8.429533

7.512184

7.996236

9.591924

8.794461

8.320048

9.086802

7.97503

8.015946

8.435669

8.19136

8.39836

8.611734

9.637407

7.990846

0810.3328

Matthew Robinson

M. Robinson, K. Bland, G. Cleaver, J. Dittmann

A Simple Introduction to Particle Physics

standard latex document, 139 pages

null

BU-HEPP-08-20

hep-th

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

This is the first of a series of papers in which we present a brief introduction to the relevant mathematical and physical ideas that form the foundation of Particle Physics, including Group Theory, Relativistic Quantum Mechanics, Quantum Field Theory and Interactions, Abelian and Non-Abelian Gauge Theory, and the SU(3)xSU(2)xU(1) Gauge Theory that describes our universe apart from gravity. These notes are not intended to be a comprehensive introduction to any of the ideas contained in them. Among the glaring omissions are CPT theorems, evaluations of Feynman Diagrams, Renormalization, and Anomalies. The topics were chosen according to the authors preferences and agenda. These notes are intended for a student who has completed the standard undergraduate physics and mathematics courses. Furthermore, these notes should not and will not in any way take the place of the related courses, but rather provide a primer for detailed courses in QFT, Gauge Theory, String Theory, etc., which will fill in the many gaps left by this paper.

[ { "created": "Sat, 18 Oct 2008 16:54:14 GMT", "version": "v1" } ]

2008-10-21

[ [ "Robinson", "M.", "" ], [ "Bland", "K.", "" ], [ "Cleaver", "G.", "" ], [ "Dittmann", "J.", "" ] ]

This is the first of a series of papers in which we present a brief introduction to the relevant mathematical and physical ideas that form the foundation of Particle Physics, including Group Theory, Relativistic Quantum Mechanics, Quantum Field Theory and Interactions, Abelian and Non-Abelian Gauge Theory, and the SU(3)xSU(2)xU(1) Gauge Theory that describes our universe apart from gravity. These notes are not intended to be a comprehensive introduction to any of the ideas contained in them. Among the glaring omissions are CPT theorems, evaluations of Feynman Diagrams, Renormalization, and Anomalies. The topics were chosen according to the authors preferences and agenda. These notes are intended for a student who has completed the standard undergraduate physics and mathematics courses. Furthermore, these notes should not and will not in any way take the place of the related courses, but rather provide a primer for detailed courses in QFT, Gauge Theory, String Theory, etc., which will fill in the many gaps left by this paper.

7.713309

7.811081

8.317098

7.63116

7.781512

8.241526

7.411508

7.547171

7.490067

8.81964

7.537188

7.455248

7.561196

7.476251

7.305088

7.37493

7.425474

7.468031

7.432153

7.510837

7.492549

hep-th/0111126

G. Bonelli

G. Bonelli (U.L.B. - V.U.B.)

The M5-brane on K3 and del Pezzo's and multi-loop string amplitudes

1+14 pages; v2: misprints corrected, clarifications and one reference added

JHEP 0112:022,2001

10.1088/1126-6708/2001/12/022

ULB-TH/01-35

hep-th

null

We study the BPS spectrum of Little String Theory for bound states of M5-branes wrapped on six manifold of product topology $M_4\times\Sigma_2$ and the apparence of multi-loop $\theta$-functions in a supersymmetric index calculation. We find a total reconstruction of the g-loop heterotic contribution in the case of a double K3 M-theory compactification. Moreover, we consider total wrapping of M5-branes on del Pezzo surfaces $B_k$ and, by studying the relevant amplitude, we notice the arising of $\theta$-functions relative to BPS strings on $T^{k-1}$, i.e. membranes on $T^k$. This happens because of beautiful relations between four dimensional SYM theories and CFTs in two dimensions and seems to be linked to a duality recently observed by A.Iqbal, A.Neitzke and C.Vafa in.

[ { "created": "Wed, 14 Nov 2001 16:16:11 GMT", "version": "v1" }, { "created": "Fri, 23 Nov 2001 14:52:32 GMT", "version": "v2" } ]

2010-02-03

[ [ "Bonelli", "G.", "", "U.L.B. - V.U.B." ] ]

We study the BPS spectrum of Little String Theory for bound states of M5-branes wrapped on six manifold of product topology $M_4\times\Sigma_2$ and the apparence of multi-loop $\theta$-functions in a supersymmetric index calculation. We find a total reconstruction of the g-loop heterotic contribution in the case of a double K3 M-theory compactification. Moreover, we consider total wrapping of M5-branes on del Pezzo surfaces $B_k$ and, by studying the relevant amplitude, we notice the arising of $\theta$-functions relative to BPS strings on $T^{k-1}$, i.e. membranes on $T^k$. This happens because of beautiful relations between four dimensional SYM theories and CFTs in two dimensions and seems to be linked to a duality recently observed by A.Iqbal, A.Neitzke and C.Vafa in.

15.906775

15.435849

20.702438

15.078067

16.758465

15.414141

16.729406

15.685337

15.605672

20.349154

15.721351

15.436152

16.73328

15.150544

15.587466

15.571259

15.204225

15.330449

15.639697

17.167978

14.891998

1503.00261

Leonardo Modesto

Leonardo Modesto and Leslaw Rachwal

Universally Finite Gravitational & Gauge Theories

19 pages

null

10.1016/j.nuclphysb.2015.09.006

null

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

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

It is well known that standard gauge theories are renormalizable in D=4 while Einstein gravity is renormalizable in D=2. This is where the research in the field of two derivatives theories is currently standing. We hereby present a class of weakly non-local higher derivative gravitational and gauge theories universally consistent at quantum level in any spacetime dimension. These theories are unitary (ghost-free) and perturbatively renormalizable. Moreover, we can always find a simple extension of these theories that is super-renormalizable or finite at quantum level in even and odd spacetime dimensions. Finally, we propose a super-renormalizable or finite theory for gravity coupled to matter laying the groundwork for a "finite standard model of particle physics" and/or a grand unified theory of all fundamental interactions.

[ { "created": "Sun, 1 Mar 2015 12:24:46 GMT", "version": "v1" } ]

2015-12-09

[ [ "Modesto", "Leonardo", "" ], [ "Rachwal", "Leslaw", "" ] ]

It is well known that standard gauge theories are renormalizable in D=4 while Einstein gravity is renormalizable in D=2. This is where the research in the field of two derivatives theories is currently standing. We hereby present a class of weakly non-local higher derivative gravitational and gauge theories universally consistent at quantum level in any spacetime dimension. These theories are unitary (ghost-free) and perturbatively renormalizable. Moreover, we can always find a simple extension of these theories that is super-renormalizable or finite at quantum level in even and odd spacetime dimensions. Finally, we propose a super-renormalizable or finite theory for gravity coupled to matter laying the groundwork for a "finite standard model of particle physics" and/or a grand unified theory of all fundamental interactions.

9.300381

8.606227

9.405632

8.673998

9.594314

8.876365

8.739316

8.789931

8.945396

10.119593

8.495358

8.239246

8.931362

8.495181

8.410351

8.970597

8.2853

8.283244

8.563076

9.058792

8.614583

hep-th/9703184

Zoltan Nemeth

Z. N\'emeth

Vortex solutions in axial or chiral coupled non-relativistic spinor- Chern-Simons theory

Plain TEX, 10 pages

Phys.Rev.D56:5066-5070,1997

10.1103/PhysRevD.56.5066

ITP Budapest report no 531

hep-th

null

The interaction of a spin 1/2 particle (described by the non-relativistic "Dirac" equation of L\'evy-Leblond) with Chern-Simons gauge fields is studied. It is shown, that similarly to the four dimensional spinor models, there is a consistent possibility of coupling them also by axial or chiral type currents. Static self dual vortex solutions together with a vortex-lattice are found with the new couplings.

[ { "created": "Wed, 26 Mar 1997 10:51:28 GMT", "version": "v1" } ]

2008-11-26

[ [ "Németh", "Z.", "" ] ]

The interaction of a spin 1/2 particle (described by the non-relativistic "Dirac" equation of L\'evy-Leblond) with Chern-Simons gauge fields is studied. It is shown, that similarly to the four dimensional spinor models, there is a consistent possibility of coupling them also by axial or chiral type currents. Static self dual vortex solutions together with a vortex-lattice are found with the new couplings.

15.718936

14.44383

16.23233

12.908612

13.833865

14.684253

14.630545

13.133416

12.585575

17.587866

14.041281

14.810009

15.73969

14.808745

14.001925

14.91524

14.616379

14.371119

14.376177

15.655094

13.922086

0802.0519

Niels Obers

Niels A. Obers

Black Holes in Higher-Dimensional Gravity

latex, 49 pages, 5 figures. Lectures to appear in the proceedings of the Fourth Aegean Summer School, Mytiline, Lesvos, Greece, September 17-22, 2007

Lect.Notes Phys.769:211-258,2009

10.1007/978-3-540-88460-6_6

null

hep-th

null

These lectures review some of the recent progress in uncovering the phase structure of black hole solutions in higher-dimensional vacuum Einstein gravity. The two classes on which we focus are Kaluza-Klein black holes, i.e. static solutions with an event horizon in asymptotically flat spaces with compact directions, and stationary solutions with an event horizon in asymptotically flat space. Highlights include the recently constructed multi-black hole configurations on the cylinder and thin rotating black rings in dimensions higher than five. The phase diagram that is emerging for each of the two classes will be discussed, including an intriguing connection that relates the phase structure of Kaluza-Klein black holes with that of asymptotically flat rotating black holes.

[ { "created": "Mon, 4 Feb 2008 23:15:27 GMT", "version": "v1" } ]

2009-01-28

[ [ "Obers", "Niels A.", "" ] ]

These lectures review some of the recent progress in uncovering the phase structure of black hole solutions in higher-dimensional vacuum Einstein gravity. The two classes on which we focus are Kaluza-Klein black holes, i.e. static solutions with an event horizon in asymptotically flat spaces with compact directions, and stationary solutions with an event horizon in asymptotically flat space. Highlights include the recently constructed multi-black hole configurations on the cylinder and thin rotating black rings in dimensions higher than five. The phase diagram that is emerging for each of the two classes will be discussed, including an intriguing connection that relates the phase structure of Kaluza-Klein black holes with that of asymptotically flat rotating black holes.

7.446603

7.118893

8.51021

7.229076

7.708911

7.902142

7.465716

7.971331

7.507064

8.815595

7.17376

7.237346

7.389163

7.249828

7.311853

7.189323

7.221529

7.226274

7.240968

7.810581

7.106139

hep-th/9602110

August Romeo

B. Geyer and S.D. Odintsov

Chiral symmetry breaking in gauged ${\bf NJL}$ model in curved spacetime

null

Phys.Rev.D53:7321-7326,1996

10.1103/PhysRevD.53.7321

NTZ-02-96, Leipzig, 1996

hep-th

null

Using the renormalization group (RG) approach and the equivalency between the class of gauge-Higgs-Yukawa models and the gauged Nambu-Jona-Lasinio (NJL) model, we study the gauged NJL model in curved space-time. The behaviour of the scalar-gravitational coupling constant $\xi(t)$ in both theories is discussed. The RG improved effective potential of gauged NJL model in curved spacetime is found. The curvature at which chiral symmetry in the gauged NJL model is broken is obtained explicitly in a remarkably simple form. The powerful RG improved effective potential formalizm leads to the same results as ladder Schwinger-Dyson equations which have not been formulated yet in curved spacetime what opens new possibilities in the study of GUTs and NJL-like models in curved spacetime.

[ { "created": "Tue, 20 Feb 1996 17:17:36 GMT", "version": "v1" } ]

2009-09-17

[ [ "Geyer", "B.", "" ], [ "Odintsov", "S. D.", "" ] ]

Using the renormalization group (RG) approach and the equivalency between the class of gauge-Higgs-Yukawa models and the gauged Nambu-Jona-Lasinio (NJL) model, we study the gauged NJL model in curved space-time. The behaviour of the scalar-gravitational coupling constant $\xi(t)$ in both theories is discussed. The RG improved effective potential of gauged NJL model in curved spacetime is found. The curvature at which chiral symmetry in the gauged NJL model is broken is obtained explicitly in a remarkably simple form. The powerful RG improved effective potential formalizm leads to the same results as ladder Schwinger-Dyson equations which have not been formulated yet in curved spacetime what opens new possibilities in the study of GUTs and NJL-like models in curved spacetime.

8.133859

7.534402

8.20695

7.329952

7.631725

7.47375

7.407893

7.211703

7.42333

7.538386

7.458354

7.734432

7.749022

7.277891

7.709005

7.740174

7.576545

7.456004

7.620453

7.572767

7.43328

1503.01671

Mairi Sakellariadou

Mairi Sakellariadou (King's College London)

Aspects of the Bosonic Spectral Action

16 pages, Invited talk in the Fourth Symposium on Prospects in the Physics of Discrete Symmetries, DISCRETE 2014, King's College London,2-6 December 2014

Journal of Physics: Conference Series, Volume 631, Issue 1 (2015), 012012

10.1088/1742-6596/631/1/012012

KCL-PH-TH/2015-10

hep-th astro-ph.CO gr-qc

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

A brief description of the elements of noncommutative spectral geometry as an approach to unification is presented. The physical implications of the doubling of the algebra are discussed. Some high energy phenomenological as well as various cosmological consequences are presented. A constraint in one of the three free parameters, namely the one related to the coupling constants at unification, is obtained, and the possible role of scalar fields is highlighted. A novel spectral action approach based upon zeta function regularisation, in order to address some of the issues of the traditional bosonic spectral action based on a cutoff function and a cutoff scale, is discussed.

[ { "created": "Thu, 5 Mar 2015 15:54:05 GMT", "version": "v1" } ]

2015-08-24

[ [ "Sakellariadou", "Mairi", "", "King's College London" ] ]

A brief description of the elements of noncommutative spectral geometry as an approach to unification is presented. The physical implications of the doubling of the algebra are discussed. Some high energy phenomenological as well as various cosmological consequences are presented. A constraint in one of the three free parameters, namely the one related to the coupling constants at unification, is obtained, and the possible role of scalar fields is highlighted. A novel spectral action approach based upon zeta function regularisation, in order to address some of the issues of the traditional bosonic spectral action based on a cutoff function and a cutoff scale, is discussed.

13.551466

11.706484

13.189342

11.728831

12.057944

10.576137

12.178001

11.762533

11.924434

15.012545

12.180758

12.274314

13.133225

12.03879

12.387151

12.154504

12.308393

12.107692

12.426635

13.239459

12.184135

2311.10939

Mohd Umar Faudzi

M.F. Umar, M.S. Nurisya

Canonical Group Quantization of Noncommutative Graphene with Symmetric and Landau Dual Magnetic Fields

9 pages, submitted to Journal of Physical Studies

null

hep-th math-ph math.MP quant-ph

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

The canonical group quantization approach has been used to study noncommutative graphene in the presence of dual magnetic fields. The canonical group for the phase space $\mathbb{R}^2\times \mathbb{R}^2$ with both symmetric and Landau dual gauges is shown to be equivalent to $\mathtt{H}^2\rtimes \mathbb{R}$. The representations of both symmetric and Landau dual gauges lead to similar canonical commutation relations, and we observe that the energy spectrum is corrected by both dual magnetic fields, yielding the same result.

[ { "created": "Sat, 18 Nov 2023 02:18:29 GMT", "version": "v1" } ]

2023-11-21

[ [ "Umar", "M. F.", "" ], [ "Nurisya", "M. S.", "" ] ]

The canonical group quantization approach has been used to study noncommutative graphene in the presence of dual magnetic fields. The canonical group for the phase space $\mathbb{R}^2\times \mathbb{R}^2$ with both symmetric and Landau dual gauges is shown to be equivalent to $\mathtt{H}^2\rtimes \mathbb{R}$. The representations of both symmetric and Landau dual gauges lead to similar canonical commutation relations, and we observe that the energy spectrum is corrected by both dual magnetic fields, yielding the same result.

9.168447

8.683953

9.152469

8.54107

8.971562

9.562001

9.437199

9.35169

9.242676

9.725738

8.992446

9.093588

8.732178

8.884046

8.532248

8.839623

8.644045

8.346145

8.955498

8.822975

8.720248

hep-th/9905047

Rich Schelp

R. Schelp (University of Texas at Austin)

Fermion masses in noncommutative geometry

4 pages, REVTeX; typos are corrected in (19), "Possible Solutions" and "Conclusion" are modified; additional calculational details are included; references are updated

Int.J.Mod.Phys.B14:2477-2484,2000

10.1142/S0217979200002016

UTEXAS-HEP-99-11

hep-th

null

Recent indications of neutrino oscillations raise the question of the possibility of incorporating massive neutrinos in the formulation of the Standard Model (SM) within noncommutative geometry (NCG). We find that the NCG requirement of Poincare duality constrains the numbers of massless quarks and neutrinos to be unequal unless new fermions are introduced. Possible scenarios in which this constraint is satisfied are discussed.

[ { "created": "Thu, 6 May 1999 19:57:25 GMT", "version": "v1" }, { "created": "Mon, 18 Oct 1999 20:35:11 GMT", "version": "v2" }, { "created": "Tue, 28 Mar 2000 21:49:49 GMT", "version": "v3" } ]

2011-04-15

[ [ "Schelp", "R.", "", "University of Texas at Austin" ] ]

Recent indications of neutrino oscillations raise the question of the possibility of incorporating massive neutrinos in the formulation of the Standard Model (SM) within noncommutative geometry (NCG). We find that the NCG requirement of Poincare duality constrains the numbers of massless quarks and neutrinos to be unequal unless new fermions are introduced. Possible scenarios in which this constraint is satisfied are discussed.

9.175862

9.26862

9.155866

8.365842

8.880096

9.523318

8.397717

8.741627

8.540772

9.640508

8.685852

8.578614

8.450083

8.255451

8.657847

8.517229

8.455081

8.328513

8.367432

8.437835

8.553278

hep-th/9811072

Ilya Shapiro

Ilya L. Shapiro (Universidade Federal de Juiz de Fora, Brazil)

Torsion: theory and possible observables

LaTeX, 16 pages, 2 figures, Short review paper, to be published in "Contemporary Fundamental Physics", Ed. Valeri Dvoeglazov (Nova Science Publishers)

null

DF/UFJF-6

hep-th

null

We discuss the theoretical basis for the search of the possible experimental manifestations of the torsion field at low energies. First, the quantum field theory in an external gravitational field with torsion is reviewed. The renormalizability requires the nonminimal interaction of torsion with spinor and scalar (Higgs) fields. The Pauli-like equation contains new torsion-dependent terms which have a different structure as compared with the standard electromagnetic ones. The same concerns the nonrelativistic equations for spin-${1}/{2}$ particle in an external torsion and electromagnetic fields. Second, we discuss the propagating torsion. For the Dirac spinor coupled to the electromagnetic and torsion field there is some additional softly broken local symmetry associated with torsion. As a consequence of this symmetry, in the framework of effective field theory, the torsion action is fixed with accuracy to the values of the coupling constant of the torsion-spinor interaction, mass of the torsion and higher derivative terms. The introduction of the Higgs field spoils the consistency of this scheme, and the effective quantum field theory for torsion embedded into the Standard Model is not possible. The phenomenological consequences of the torsion-fermion interaction are drown and the case of the torsion mass of the Planck order is discussed.

[ { "created": "Mon, 9 Nov 1998 09:56:01 GMT", "version": "v1" } ]

2007-05-23

[ [ "Shapiro", "Ilya L.", "", "Universidade Federal de Juiz de Fora, Brazil" ] ]

We discuss the theoretical basis for the search of the possible experimental manifestations of the torsion field at low energies. First, the quantum field theory in an external gravitational field with torsion is reviewed. The renormalizability requires the nonminimal interaction of torsion with spinor and scalar (Higgs) fields. The Pauli-like equation contains new torsion-dependent terms which have a different structure as compared with the standard electromagnetic ones. The same concerns the nonrelativistic equations for spin-${1}/{2}$ particle in an external torsion and electromagnetic fields. Second, we discuss the propagating torsion. For the Dirac spinor coupled to the electromagnetic and torsion field there is some additional softly broken local symmetry associated with torsion. As a consequence of this symmetry, in the framework of effective field theory, the torsion action is fixed with accuracy to the values of the coupling constant of the torsion-spinor interaction, mass of the torsion and higher derivative terms. The introduction of the Higgs field spoils the consistency of this scheme, and the effective quantum field theory for torsion embedded into the Standard Model is not possible. The phenomenological consequences of the torsion-fermion interaction are drown and the case of the torsion mass of the Planck order is discussed.

9.230401

9.390679

9.284091

8.739738

9.021178

9.037449

9.603015

9.458882

8.717663

9.772057

8.925358

8.950768

8.944848

8.702759

9.004602

8.912045

8.996484

9.012534

8.840924

8.906171

8.838256

1907.00491

Andreas von Manteuffel

Matthias Heller, Andreas von Manteuffel, Robert M. Schabinger

Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals

51 pages, 6 figures, 1 table, ancillary file with analytic result; in v2: expanded discussion of our method to construct symbol letters, added example with several roots, added references, original results unchanged

Phys. Rev. D 102, 016025 (2020)

10.1103/PhysRevD.102.016025

MITP/19-043, MSUHEP-19-012

hep-th hep-ph

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

We consider Feynman integrals with algebraic leading singularities and total differentials in $\epsilon\,\mathrm{d}\ln$ form. We show for the first time that it is possible to evaluate integrals with singularities involving unrationalizable roots in terms of conventional multiple polylogarithms, by either parametric integration or matching the symbol. As our main application, we evaluate the two-loop master integrals relevant to the $\alpha \alpha_s$ corrections to Drell-Yan lepton pair production at hadron colliders. We optimize our functional basis to allow for fast and stable numerical evaluations in the physical region of phase space.

[ { "created": "Sun, 30 Jun 2019 22:47:36 GMT", "version": "v1" }, { "created": "Fri, 14 Aug 2020 21:15:04 GMT", "version": "v2" } ]

2020-08-18

[ [ "Heller", "Matthias", "" ], [ "von Manteuffel", "Andreas", "" ], [ "Schabinger", "Robert M.", "" ] ]

We consider Feynman integrals with algebraic leading singularities and total differentials in $\epsilon\,\mathrm{d}\ln$ form. We show for the first time that it is possible to evaluate integrals with singularities involving unrationalizable roots in terms of conventional multiple polylogarithms, by either parametric integration or matching the symbol. As our main application, we evaluate the two-loop master integrals relevant to the $\alpha \alpha_s$ corrections to Drell-Yan lepton pair production at hadron colliders. We optimize our functional basis to allow for fast and stable numerical evaluations in the physical region of phase space.

11.557505

11.667224

10.75098

9.385324

11.953026

12.234535

12.435595

11.820148

10.334166

10.889528

11.733171

11.612766

11.152397

11.068429

11.179797

11.453296

11.219562

11.584085

10.959805

10.970923

10.968716

hep-th/9212128

Kenji Ikegami

K. Ikegami, T. Kimura and R. Mochizuki

Treatment of Constraints in Stochastic Quantization Method and Covariantized Langevin Equation

20 pages (Plain TeX), 4 figures(not included, sorry!), CHIBA-EP-57

Nucl.Phys. B395 (1993) 371-387

10.1016/0550-3213(93)90221-A

null

hep-th

null

We study the treatment of the constraints in stochastic quantization method. We improve the treatment of the stochastic consistency condition proposed by Namiki et al. by suitably taking account of the Ito calculus. Then we obtain an improved Langevin equation and the Fokker-Planck equation which naturally leads to the correct path integral quantization of the constrained system as the stochastic equilibrium state. This treatment is applied to $O(N)$ non-linear $\sigma$ model and it is shown that singular terms appearing in the improved Langevin equation cancel out the $\delta^n(0)$ divergences in one loop order. We also ascertain that the above Langevin equation, rewritten in terms of independent variablesis, actually equivalent to the one in the general-coordinate-transformation-covariant and vielbein-rotation-invariant formalism.

[ { "created": "Tue, 22 Dec 1992 05:03:19 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ikegami", "K.", "" ], [ "Kimura", "T.", "" ], [ "Mochizuki", "R.", "" ] ]

We study the treatment of the constraints in stochastic quantization method. We improve the treatment of the stochastic consistency condition proposed by Namiki et al. by suitably taking account of the Ito calculus. Then we obtain an improved Langevin equation and the Fokker-Planck equation which naturally leads to the correct path integral quantization of the constrained system as the stochastic equilibrium state. This treatment is applied to $O(N)$ non-linear $\sigma$ model and it is shown that singular terms appearing in the improved Langevin equation cancel out the $\delta^n(0)$ divergences in one loop order. We also ascertain that the above Langevin equation, rewritten in terms of independent variablesis, actually equivalent to the one in the general-coordinate-transformation-covariant and vielbein-rotation-invariant formalism.

11.254481

10.821646

11.963196

10.815314

11.653593

11.575002

12.13145

10.80582

10.788759

12.13138

10.607927

10.567645

10.308144

10.720754

10.673947

10.632965

10.434463

10.591175

10.312914

11.187305

10.689332

0710.0299

Burkhard Kleihaus

Burkhard Kleihaus, Jutta Kunz, and Eugen Radu

Nonabelian solutions in a Melvin magnetic universe

8 pages, no figures

Phys.Lett.B660:386-391,2008

10.1016/j.physletb.2008.01.027

null

hep-th

null

We show the existence of D=4 nonabelian solutions approaching asymptotically a dilatonic Melvin spacetime background. An exact solution generalizing the Chamseddine-Volkov soliton for a nonzero external U(1) magnetic field is also reported.

[ { "created": "Mon, 1 Oct 2007 13:52:01 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kleihaus", "Burkhard", "" ], [ "Kunz", "Jutta", "" ], [ "Radu", "Eugen", "" ] ]

We show the existence of D=4 nonabelian solutions approaching asymptotically a dilatonic Melvin spacetime background. An exact solution generalizing the Chamseddine-Volkov soliton for a nonzero external U(1) magnetic field is also reported.

16.967077

12.848229

14.080282

12.566901

11.525493

12.563713

13.22111

11.980713

11.829172

13.429661

13.522438

13.076659

14.214683

13.042633

12.641351

12.907902

12.890157

12.552464

12.598974

13.453748

13.980951

hep-th/0212338

Zheng Yin

From Boundaries To Conditions Over Superspace

25 pages

JHEP 0305 (2003) 073

10.1088/1126-6708/2003/05/073

CERN-TH/2002-318

hep-th

null

N=1 and 2 superconformal boundary conditions are shown to be the consequence of a boundary on the worldsheet superspace with positive codimension in the anticommuting subspace. In addition to the well-known boundary conditions, I also find two new infinite series of N=2 boundary states. Their free field realizations are given. A self-contained development of 2d superspace leads to new perspectives on this subject.

[ { "created": "Tue, 31 Dec 2002 18:54:08 GMT", "version": "v1" } ]

2009-11-07

[ [ "Yin", "Zheng", "" ] ]

N=1 and 2 superconformal boundary conditions are shown to be the consequence of a boundary on the worldsheet superspace with positive codimension in the anticommuting subspace. In addition to the well-known boundary conditions, I also find two new infinite series of N=2 boundary states. Their free field realizations are given. A self-contained development of 2d superspace leads to new perspectives on this subject.

14.916773

15.296797

16.70891

12.870616

12.958984

14.780592

13.542648

12.686127

13.710382

17.692635

12.945529

13.297215

15.496393

12.874263

13.488055

13.182539

12.809525

13.405355

12.981091

15.51053

13.41582

2312.13030

Alessio Miscioscia

Enrico Marchetto, Alessio Miscioscia and Elli Pomoni

Sum rules & Tauberian theorems at finite temperature

38 pages

null

DESY-23-224

hep-th

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

We study CFTs at finite temperature and derive explicit sum rules for one-point functions of operators by imposing the KMS condition. In the case of a large gap between light and heavy operators, we explicitly compute one-point functions for light operators. Turning to heavy operators we employ Tauberian theorems and compute the asymptotic OPE density for heavy operators, from which we extract the leading terms of the OPE coefficients associated with heavy operators. Furthermore, we approximate and establish bounds for the two-point functions.

[ { "created": "Wed, 20 Dec 2023 13:54:39 GMT", "version": "v1" } ]

2023-12-21

[ [ "Marchetto", "Enrico", "" ], [ "Miscioscia", "Alessio", "" ], [ "Pomoni", "Elli", "" ] ]

We study CFTs at finite temperature and derive explicit sum rules for one-point functions of operators by imposing the KMS condition. In the case of a large gap between light and heavy operators, we explicitly compute one-point functions for light operators. Turning to heavy operators we employ Tauberian theorems and compute the asymptotic OPE density for heavy operators, from which we extract the leading terms of the OPE coefficients associated with heavy operators. Furthermore, we approximate and establish bounds for the two-point functions.

11.475952

11.271974

14.096059

10.801136

10.903318

12.438338

11.117088

10.963865

11.492203

13.992313

10.99855

11.090721

11.558463

11.12316

11.433722

11.442673

10.995881

11.044547

10.800812

11.494152

11.21973

hep-th/0501172

Sergei Kuzenko

S. M. Kuzenko and S. A. McCarthy

On the component structure of N = 1 supersymmetric nonlinear electrodynamics

0+27 pages, no figures; V2: appendix, references added; V3: typos in eq. (6.7) corrected; V4: references, comments added, appendix B rewritten, version to appear in JHEP; V5: typos in eqs. (5.12) and (7.1) corrected

JHEP 0505:012,2005

10.1088/1126-6708/2005/05/012

null

hep-th

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

We analyze the component structure of models for 4D N = 1 supersymmetric nonlinear electrodynamics that enjoy invariance under continuous duality rotations. The N = 1 supersymmetric Born-Infeld action is a member of this family. Such dynamical systems have a more complicated structure, especially in the presence of supergravity, as compared with well-studied effective supersymmetric theories containing at most two derivatives (including nonlinear Kahler sigma-models). As a result, when deriving their canonically normalized component actions, it becomes impractical and cumbersome to follow the traditional approach of (i) reducing to components; and then (ii) applying a field-dependent Weyl and local chiral transformation. It proves to be more efficient to follow the Kugo-Uehara scheme which consists of (i) extending the superfield theory to a super-Weyl invariant system; and then (ii) applying a plain component reduction along with imposing a suitable super-Weyl gauge condition. Here we implement this scheme to derive the bosonic action of self-dual supersymmetric electrodynamics coupled to the dilaton-axion chiral multiplet and a Kahler sigma-model. In the fermionic sector, the action contains higher derivative terms. In the globally supersymmetric case, a nonlinear field redefinition is explicitly constructed which eliminates all the higher derivative terms and brings the fermionic action to a one-parameter deformation of the Akulov-Volkov action for the Goldstino. The Akulov-Volkov action emerges, in particular, in the case of the N = 1 supersymmetric Born-Infeld action.

[ { "created": "Fri, 21 Jan 2005 03:04:23 GMT", "version": "v1" }, { "created": "Mon, 31 Jan 2005 07:59:58 GMT", "version": "v2" }, { "created": "Mon, 21 Feb 2005 08:50:05 GMT", "version": "v3" }, { "created": "Wed, 4 May 2005 01:34:43 GMT", "version": "v4" }, { "created": "Sat, 15 May 2010 02:32:17 GMT", "version": "v5" } ]

2010-05-19

[ [ "Kuzenko", "S. M.", "" ], [ "McCarthy", "S. A.", "" ] ]

We analyze the component structure of models for 4D N = 1 supersymmetric nonlinear electrodynamics that enjoy invariance under continuous duality rotations. The N = 1 supersymmetric Born-Infeld action is a member of this family. Such dynamical systems have a more complicated structure, especially in the presence of supergravity, as compared with well-studied effective supersymmetric theories containing at most two derivatives (including nonlinear Kahler sigma-models). As a result, when deriving their canonically normalized component actions, it becomes impractical and cumbersome to follow the traditional approach of (i) reducing to components; and then (ii) applying a field-dependent Weyl and local chiral transformation. It proves to be more efficient to follow the Kugo-Uehara scheme which consists of (i) extending the superfield theory to a super-Weyl invariant system; and then (ii) applying a plain component reduction along with imposing a suitable super-Weyl gauge condition. Here we implement this scheme to derive the bosonic action of self-dual supersymmetric electrodynamics coupled to the dilaton-axion chiral multiplet and a Kahler sigma-model. In the fermionic sector, the action contains higher derivative terms. In the globally supersymmetric case, a nonlinear field redefinition is explicitly constructed which eliminates all the higher derivative terms and brings the fermionic action to a one-parameter deformation of the Akulov-Volkov action for the Goldstino. The Akulov-Volkov action emerges, in particular, in the case of the N = 1 supersymmetric Born-Infeld action.

7.576628

7.481011

8.607329

7.541039

7.713878

7.449094

8.257085

7.388176

7.222968

8.941703

7.353734

7.325899

7.952608

7.536476

7.662422

7.661625

7.481746

7.650919

7.419579

7.630287

7.422221

hep-th/0206069

Vasily Pestun

Vasily Pestun (ITEP, Moscow)

N=4 super Yang-Mills matrix integrals for almost all simple gauge groups

Latex2e, 21pp; v2: minor corrections, references added

JHEP 0209 (2002) 012

10.1088/1126-6708/2002/09/012

ITEP-TH-28/02

hep-th

null

In this paper the partition function of N=4 D=0 super Yang-Mills matrix theory with arbitrary simple gauge group is discussed. We explicitly computed its value for all classical groups of rank up to 11 and for the exceptional groups G_2, F_4 and E_6. In the case of classical groups of arbitrary rank we conjecture general formulas for the B_r, C_r and D_r series in addition to the known result for the A_r series. Also, the relevant boundary term contributing to the Witten index of the corresponding supersymmetric quantum mechanics has been explicitly computed as a simple function of rank for the orthogonal and symplectic groups SO(2N+1), Sp(2N), SO(2N).

[ { "created": "Sun, 9 Jun 2002 12:04:46 GMT", "version": "v1" }, { "created": "Wed, 10 Jul 2002 14:36:46 GMT", "version": "v2" } ]

2009-11-07

[ [ "Pestun", "Vasily", "", "ITEP, Moscow" ] ]

In this paper the partition function of N=4 D=0 super Yang-Mills matrix theory with arbitrary simple gauge group is discussed. We explicitly computed its value for all classical groups of rank up to 11 and for the exceptional groups G_2, F_4 and E_6. In the case of classical groups of arbitrary rank we conjecture general formulas for the B_r, C_r and D_r series in addition to the known result for the A_r series. Also, the relevant boundary term contributing to the Witten index of the corresponding supersymmetric quantum mechanics has been explicitly computed as a simple function of rank for the orthogonal and symplectic groups SO(2N+1), Sp(2N), SO(2N).

8.187346

8.943974

8.15631

7.252569

7.98259

7.861035

8.155268

7.95565

8.111787

9.229774

7.592891

7.647547

7.997895

7.687293

7.840885

7.797257

7.685163

7.863553

7.672539

8.109704

7.579122

hep-th/0603180

Kazunobu Maruyoshi

Hiroshi Itoyama, Kazunobu Maruyoshi

U(N) Gauged N=2 Supergravity and Partial Breaking of Local N=2 Supersymmetry

22 pages, a version to appear Int. J. Mod. Phys. A

Int.J.Mod.Phys.A21:6191-6210,2006

10.1142/S0217751X06034045

OCU-PHYS 243

hep-th

null

We study a minimal model of U(N) gauged N=2 supergravity with one hypermultiplet parametrizing SO(4,1)/SO(4) quaternionic manifold. Local N=2 supersymmetry is known to be spontaneously broken to N=1 in the Higgs phase of U(1)_{graviphoton} \times U(1). Several properties are obtained of this model in the vacuum of unbroken SU(N) gauge group. In particular, we derive mass spectrum analogous to the rigid counterpart and put the entire effective potential on this vacuum in the standard superpotential form of N=1 supergravity.

[ { "created": "Thu, 23 Mar 2006 07:30:13 GMT", "version": "v1" }, { "created": "Fri, 5 Jan 2007 09:19:53 GMT", "version": "v2" } ]

2008-11-26

[ [ "Itoyama", "Hiroshi", "" ], [ "Maruyoshi", "Kazunobu", "" ] ]

We study a minimal model of U(N) gauged N=2 supergravity with one hypermultiplet parametrizing SO(4,1)/SO(4) quaternionic manifold. Local N=2 supersymmetry is known to be spontaneously broken to N=1 in the Higgs phase of U(1)_{graviphoton} \times U(1). Several properties are obtained of this model in the vacuum of unbroken SU(N) gauge group. In particular, we derive mass spectrum analogous to the rigid counterpart and put the entire effective potential on this vacuum in the standard superpotential form of N=1 supergravity.

11.52824

10.174682

12.164134

10.187388

12.005512

11.090714

10.76238

11.027218

9.608136

14.492955

10.790499

10.977551

11.425316

10.653176

10.836272

10.095133

10.656898

10.842237

10.310825

11.966619

10.693686

1603.02624

Ya-Wen Sun

Ya-Wen Sun and Qing Yang

Negative magnetoresistivity in holography

33 pages, 13 figures; v2, minor change, version to appear in JHEP

null

10.1007/JHEP09(2016)122

IFT-UAM/CSIC-16-022

hep-th cond-mat.str-el

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

Negative magnetoresistivity is a special magnetotransport property associated with chiral anomaly in four dimensional chiral anomalous systems, which refers to the transport behavior that the DC longitudinal magnetoresistivity decreases with increasing magnetic field. We calculate the longitudinal magnetoconductivity in the presence of backreactions of the magnetic field to gravity in holographic zero charge and axial charge density systems with and without axial charge dissipation. In the absence of axial charge dissipation, we find that the quantum critical conductivity grows with increasing magnetic field when the backreaction strength is larger than a critical value, in contrast to the monotonically decreasing behavior of quantum critical conductivity in the probe limit. With axial charge dissipation, we find the negative magnetoresistivity behavior. The DC longitudinal magnetoconductivity scales as $B$ in the large magnetic field limit, which deviates from the exact $B^2$ scaling of the probe limit result. In both cases, the small frequency longitudinal magnetoconductivity still agrees with the formula obtained from the hydrodynamic linear response theory, even in the large magnetic field limit.

[ { "created": "Tue, 8 Mar 2016 19:08:13 GMT", "version": "v1" }, { "created": "Mon, 19 Sep 2016 05:25:10 GMT", "version": "v2" } ]

2016-10-12

[ [ "Sun", "Ya-Wen", "" ], [ "Yang", "Qing", "" ] ]

Negative magnetoresistivity is a special magnetotransport property associated with chiral anomaly in four dimensional chiral anomalous systems, which refers to the transport behavior that the DC longitudinal magnetoresistivity decreases with increasing magnetic field. We calculate the longitudinal magnetoconductivity in the presence of backreactions of the magnetic field to gravity in holographic zero charge and axial charge density systems with and without axial charge dissipation. In the absence of axial charge dissipation, we find that the quantum critical conductivity grows with increasing magnetic field when the backreaction strength is larger than a critical value, in contrast to the monotonically decreasing behavior of quantum critical conductivity in the probe limit. With axial charge dissipation, we find the negative magnetoresistivity behavior. The DC longitudinal magnetoconductivity scales as $B$ in the large magnetic field limit, which deviates from the exact $B^2$ scaling of the probe limit result. In both cases, the small frequency longitudinal magnetoconductivity still agrees with the formula obtained from the hydrodynamic linear response theory, even in the large magnetic field limit.

6.80325

6.98841

6.883317

6.393026

6.702215

6.70847

7.084951

6.747931

6.389445

7.285489

6.316118

6.241149

6.648192

6.301244

6.53867

6.234071

6.323189

6.240469

6.337729

6.608057

6.279878

hep-th/0101009

D. V. Ahluwalia

D. V. Ahluwalia, M. Kirchbach

(1/2,1/2) Representation space: An ab initio construct

published version: in the revised draft incompleteness of the Proca framework commented on

Mod.Phys.Lett.A16:1377-1384,2001

10.1142/S0217732301004613

null

hep-th hep-ph math.RT nucl-th

null

A careful ab initio construction of the finite-mass (1/2,1/2) representation space of the Lorentz group reveals it to be a spin-parity multiplet. In general, it does not lend itself to a single-spin interpretation. We find that the (1/2,1/2) representation space for massive particles naturally bifurcates into a triplet and a singlet of opposite relative intrinsic parties. The text-book separation into spin one and spin zero states occurs only for certain limited kinematical settings. We construct a wave equation for the (1/2,1/2) multiplet, and show that the particles and antiparticles in this representation space do not carry a definite spin but only a definite relative intrinsic parity. In general, both spin one and spin zero are covariantly inseparable inhabitants of massive vector fields. This last observation suggests that scalar particles, such as the Higgs, are natural inhabitants of massive (1/2,1/2) representation space.

[ { "created": "Sat, 30 Dec 2000 21:12:49 GMT", "version": "v1" }, { "created": "Mon, 6 Aug 2001 18:04:44 GMT", "version": "v2" } ]

2008-11-26

[ [ "Ahluwalia", "D. V.", "" ], [ "Kirchbach", "M.", "" ] ]

A careful ab initio construction of the finite-mass (1/2,1/2) representation space of the Lorentz group reveals it to be a spin-parity multiplet. In general, it does not lend itself to a single-spin interpretation. We find that the (1/2,1/2) representation space for massive particles naturally bifurcates into a triplet and a singlet of opposite relative intrinsic parties. The text-book separation into spin one and spin zero states occurs only for certain limited kinematical settings. We construct a wave equation for the (1/2,1/2) multiplet, and show that the particles and antiparticles in this representation space do not carry a definite spin but only a definite relative intrinsic parity. In general, both spin one and spin zero are covariantly inseparable inhabitants of massive vector fields. This last observation suggests that scalar particles, such as the Higgs, are natural inhabitants of massive (1/2,1/2) representation space.

9.430675

9.226212

9.564593

9.37482

9.9315

9.961377

9.507822

9.505657

9.304355

10.240395

9.557752

9.389265

8.812181

8.936687

9.230583

9.195454

9.059412

9.276037

9.085065

9.312691

9.157233

2407.15466

Francisco F. Lopez-Ruiz

Victor Aldaya, Julio Guerrero and Francisco F. L\'opez-Ruiz

Non-relativistic tachyons: a new representation of the Galilei group

19 pages, 3 figures

null

hep-th math-ph math.MP quant-ph

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

An algebraic characterization of the contractions of the Poincar\'e group permits a proper construction of a non-relativistic limit of its tachyonic representation. We arrive at a consistent, nonstandard representation of the Galilei group which was disregarded long ago by supposedly unphysical properties. The corresponding quantum (and classical) theory shares with the relativistic one their fundamentals, and serves as a toy model to better comprehend the unusual behavior of the tachyonic representation. For instance, we see that evolution takes place in a spatial coordinate rather than time, as for relativistic tachyons, but the modulus of the three-momentum is the same for all Galilean observers, leading to a new dispersion relation for a Galilean system. Furthermore, the tachyonic objects described by the new representation cannot be regarded as localizable in the standard sense.

[ { "created": "Mon, 22 Jul 2024 08:26:40 GMT", "version": "v1" }, { "created": "Thu, 25 Jul 2024 11:49:49 GMT", "version": "v2" } ]

2024-07-26

[ [ "Aldaya", "Victor", "" ], [ "Guerrero", "Julio", "" ], [ "López-Ruiz", "Francisco F.", "" ] ]

An algebraic characterization of the contractions of the Poincar\'e group permits a proper construction of a non-relativistic limit of its tachyonic representation. We arrive at a consistent, nonstandard representation of the Galilei group which was disregarded long ago by supposedly unphysical properties. The corresponding quantum (and classical) theory shares with the relativistic one their fundamentals, and serves as a toy model to better comprehend the unusual behavior of the tachyonic representation. For instance, we see that evolution takes place in a spatial coordinate rather than time, as for relativistic tachyons, but the modulus of the three-momentum is the same for all Galilean observers, leading to a new dispersion relation for a Galilean system. Furthermore, the tachyonic objects described by the new representation cannot be regarded as localizable in the standard sense.

13.326723

13.631592

13.690617

12.306867

14.395566

14.403596

14.309369

13.663544

13.060803

15.920923

12.967583

12.270519

12.614754

12.539163

12.449977

12.290367

12.625387

12.24519

12.696688

12.821778

12.613816

hep-th/0701095

Eve Mariel Santangelo

C.G. Beneventano, Paola Giacconi, E.M. Santangelo and Roberto Soldati

The quantum Hall effect in graphene samples and the relativistic Dirac effective action

Conclusions extended. References added. 9 pages. 1 figure

J.Phys.A40:F435-F442,2007

10.1088/1751-8113/40/24/F01

null

hep-th cond-mat.mes-hall math-ph math.MP

null

We study the Euclidean effective action per unit area and the charge density for a Dirac field in a two--dimensional spatial region, in the presence of a uniform magnetic field perpendicular to the 2D--plane, at finite temperature and density. In the limit of zero temperature we reproduce, after performing an adequate Lorentz boost, the Hall conductivity measured for different kinds of graphene samples, depending upon the phase choice in the fermionic determinant.

[ { "created": "Wed, 10 Jan 2007 17:28:39 GMT", "version": "v1" }, { "created": "Thu, 8 Mar 2007 18:56:30 GMT", "version": "v2" }, { "created": "Thu, 8 Mar 2007 21:16:30 GMT", "version": "v3" } ]

2008-11-26

[ [ "Beneventano", "C. G.", "" ], [ "Giacconi", "Paola", "" ], [ "Santangelo", "E. M.", "" ], [ "Soldati", "Roberto", "" ] ]

We study the Euclidean effective action per unit area and the charge density for a Dirac field in a two--dimensional spatial region, in the presence of a uniform magnetic field perpendicular to the 2D--plane, at finite temperature and density. In the limit of zero temperature we reproduce, after performing an adequate Lorentz boost, the Hall conductivity measured for different kinds of graphene samples, depending upon the phase choice in the fermionic determinant.

13.617581

12.798639

13.112296

10.943944

11.510786

11.147088

11.928991

10.899168

11.766017

13.84271

11.603827

12.135687

13.0104

12.58093

12.711932

12.547863

12.915635

12.736805

12.665389

13.308897

12.192348

hep-th/0701236

Alberto Zaffaroni

Davide Forcella, Amihay Hanany and Alberto Zaffaroni

Baryonic Generating Functions

44 pages, 7 figures; fonts changed

JHEP 0712:022,2007

10.1088/1126-6708/2007/12/022

null

hep-th

null

We show how it is possible to use the plethystic program in order to compute baryonic generating functions that count BPS operators in the chiral ring of quiver gauge theories living on the world volume of D branes probing a non compact CY manifold. Special attention is given to the conifold theory and the orbifold C^2/Z_2 times C, where exact expressions for generating functions are given in detail. This paper solves a long standing problem for the combinatorics of quiver gauge theories with baryonic moduli spaces. It opens the way to a statistical analysis of quiver theories on baryonic branches. Surprisingly, the baryonic charge turns out to be the quantized Kahler modulus of the geometry.

[ { "created": "Thu, 25 Jan 2007 18:46:54 GMT", "version": "v1" }, { "created": "Sun, 28 Jan 2007 18:37:55 GMT", "version": "v2" } ]

2010-02-03

[ [ "Forcella", "Davide", "" ], [ "Hanany", "Amihay", "" ], [ "Zaffaroni", "Alberto", "" ] ]

We show how it is possible to use the plethystic program in order to compute baryonic generating functions that count BPS operators in the chiral ring of quiver gauge theories living on the world volume of D branes probing a non compact CY manifold. Special attention is given to the conifold theory and the orbifold C^2/Z_2 times C, where exact expressions for generating functions are given in detail. This paper solves a long standing problem for the combinatorics of quiver gauge theories with baryonic moduli spaces. It opens the way to a statistical analysis of quiver theories on baryonic branches. Surprisingly, the baryonic charge turns out to be the quantized Kahler modulus of the geometry.

9.548694

8.692459

10.883608

7.98421

8.4356

8.975289

8.759464

8.160946

8.459449

11.812309

8.796195

8.624258

9.019398

8.514125

8.515449

8.590019

8.818933

8.761039

8.660915

9.107987

8.551843

2204.06391

Osamu Fukushima

Osamu Fukushima and Kentaroh Yoshida

Chaotic instability in the BFSS matrix model

17 pages, 11 figures, figures added, minor improvements

null

10.1007/JHEP09(2022)039

KUNS-2922

hep-th math-ph math.MP nlin.CD

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

Chaotic scattering is a manifestation of transient chaos realized by the scattering with non-integrable potential. When the initial position is taken in the potential, a particle initially exhibits chaotic motion, but escapes outside after a certain period of time. The time to stay inside the potential can be seen as lifetime and this escape process may be regarded as a kind of instability. The process of this type exists in the Banks-Fischler-Shenker-Susskind (BFSS) matrix model in which the potential has flat directions. We discuss this chaotic instability by reducing the system with an ansatz to a simple dynamical system and present the associated fractal structure. We also show the singular behavior of the time delay function and compute the fractal dimension. This chaotic instability is the basic mechanism by which membranes are unstable, which is also common to supermembranes at quantum level.

[ { "created": "Wed, 13 Apr 2022 13:52:45 GMT", "version": "v1" }, { "created": "Fri, 6 May 2022 15:55:12 GMT", "version": "v2" }, { "created": "Thu, 28 Jul 2022 12:08:41 GMT", "version": "v3" } ]

2022-09-21

[ [ "Fukushima", "Osamu", "" ], [ "Yoshida", "Kentaroh", "" ] ]

Chaotic scattering is a manifestation of transient chaos realized by the scattering with non-integrable potential. When the initial position is taken in the potential, a particle initially exhibits chaotic motion, but escapes outside after a certain period of time. The time to stay inside the potential can be seen as lifetime and this escape process may be regarded as a kind of instability. The process of this type exists in the Banks-Fischler-Shenker-Susskind (BFSS) matrix model in which the potential has flat directions. We discuss this chaotic instability by reducing the system with an ansatz to a simple dynamical system and present the associated fractal structure. We also show the singular behavior of the time delay function and compute the fractal dimension. This chaotic instability is the basic mechanism by which membranes are unstable, which is also common to supermembranes at quantum level.

14.520708

15.049741

14.402899

13.427167

13.994355

13.891474

14.323636

13.374481

13.086091

15.646041

15.298048

12.875049

13.120228

12.866597

12.828658

13.299883

12.94023

12.992916

13.226271

12.810062

13.007062

0911.0401

Joseph Henson

Dario Benedetti, Joe Henson

Spectral geometry as a probe of quantum spacetime

25 pages, 6 figures. Version 2: references to figures added, acknowledgment added.

Phys.Rev.D80:124036,2009

10.1103/PhysRevD.80.124036

pi-qg-160

hep-th gr-qc

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

Employing standard results from spectral geometry, we provide strong evidence that in the classical limit the ground state of three-dimensional causal dynamical triangulations is de Sitter spacetime. This result is obtained by measuring the expectation value of the spectral dimension on the ensemble of geometries defined by these models, and comparing its large scale behaviour to that of a sphere (Euclidean de Sitter). From the same measurement we are also able to confirm the phenomenon of dynamical dimensional reduction observed in this and other approaches to quantum gravity -- the first time this has been done for three-dimensional causal dynamical triangulations. In this case, the value for the short-scale limit of the spectral dimension that we find is approximately 2. We comment on the relevance of these results for the comparison to asymptotic safety and Horava-Lifshitz gravity, among other approaches to quantum gravity.

[ { "created": "Mon, 2 Nov 2009 20:43:07 GMT", "version": "v1" }, { "created": "Fri, 19 Mar 2010 16:02:46 GMT", "version": "v2" } ]

2010-03-24

[ [ "Benedetti", "Dario", "" ], [ "Henson", "Joe", "" ] ]

Employing standard results from spectral geometry, we provide strong evidence that in the classical limit the ground state of three-dimensional causal dynamical triangulations is de Sitter spacetime. This result is obtained by measuring the expectation value of the spectral dimension on the ensemble of geometries defined by these models, and comparing its large scale behaviour to that of a sphere (Euclidean de Sitter). From the same measurement we are also able to confirm the phenomenon of dynamical dimensional reduction observed in this and other approaches to quantum gravity -- the first time this has been done for three-dimensional causal dynamical triangulations. In this case, the value for the short-scale limit of the spectral dimension that we find is approximately 2. We comment on the relevance of these results for the comparison to asymptotic safety and Horava-Lifshitz gravity, among other approaches to quantum gravity.

7.257395

7.282666

6.920483

6.862783

7.683963

7.099166

6.944164

6.729393

6.875296

7.850191

6.747578

6.862516

7.050329

7.100433

7.139971

6.950547

6.929626

6.706883

6.908898

7.006931

6.866438

1003.3235

Volker Braun

On Free Quotients of Complete Intersection Calabi-Yau Manifolds

39 pages, 3 tables, LaTeX

null

10.1007/JHEP04(2011)005

DIAS-STP 10-03

hep-th math.AG

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

In order to find novel examples of non-simply connected Calabi-Yau threefolds, free quotients of complete intersections in products of projective spaces are classified by means of a computer search. More precisely, all automorphisms of the product of projective spaces that descend to a free action on the Calabi-Yau manifold are identified.

[ { "created": "Tue, 16 Mar 2010 20:03:28 GMT", "version": "v1" } ]

2015-05-18

[ [ "Braun", "Volker", "" ] ]

In order to find novel examples of non-simply connected Calabi-Yau threefolds, free quotients of complete intersections in products of projective spaces are classified by means of a computer search. More precisely, all automorphisms of the product of projective spaces that descend to a free action on the Calabi-Yau manifold are identified.

6.811817

5.62533

6.950748

5.404856

5.679399

6.517926

5.854471

6.071626

5.697358

7.249918

5.625769

5.489346

6.029545

5.57968

5.696651

5.662858

5.411612

5.442445

5.692684

6.32305

5.714617

1603.03213

Luis Apolo

Luis Apolo and Bo Sundborg

The sky is the limit: free boundary conditions in AdS$_3$ Chern-Simons theory

10 pages, Contribution to the Proceedings of the International Workshop on Higher Spin Gauge Theories, Institute for Advanced Studies, NTU, Singapore, November 4-6, 2015

null

10.1142/9789813144101_0016

null

hep-th

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

We test the effects of new diffeomorphism invariant boundary terms in SL(2,R)$\times$SL(2,R) Chern-Simons theory. The gravitational interpretation corresponds to free AdS$_3$ boundary conditions, without restrictions on the boundary geometry. The boundary theory is the theory of a string in a target AdS$_3$. Its Virasoro conditions can eliminate ghosts. Generalisations to SL(N,R)$\times$SL(N,R) higher spin theories and many other questions are still unexplored.

[ { "created": "Thu, 10 Mar 2016 10:39:44 GMT", "version": "v1" } ]

2016-11-23

[ [ "Apolo", "Luis", "" ], [ "Sundborg", "Bo", "" ] ]

We test the effects of new diffeomorphism invariant boundary terms in SL(2,R)$\times$SL(2,R) Chern-Simons theory. The gravitational interpretation corresponds to free AdS$_3$ boundary conditions, without restrictions on the boundary geometry. The boundary theory is the theory of a string in a target AdS$_3$. Its Virasoro conditions can eliminate ghosts. Generalisations to SL(N,R)$\times$SL(N,R) higher spin theories and many other questions are still unexplored.

12.270475

12.990177

14.886329

11.195847

13.760213

12.740461

11.809198

10.713236

11.358731

15.716463

11.796823

11.443227

12.595043

11.425035

11.490652

11.759287

11.577868

11.582508

11.97907

12.474454

11.629805

hep-th/0305017

James T. Wheeler

Gauging Newton's Law

44 pages, no figures, LaTeX

Can.J.Phys.85:307-344,2007

10.1139/P07-052

null

hep-th

null

We derive both Lagrangian and Hamiltonian mechanics as gauge theories of Newtonian mechanics. Systematic development of the distinct symmetries of dynamics and measurement suggest that gauge theory may be motivated as a reconciliation of dynamics with measurement. Applying this principle to Newton's law with the simplest measurement theory leads to Lagrangian mechanics, while use of conformal measurement theory leads to Hamilton's equations.

[ { "created": "Thu, 1 May 2003 18:26:25 GMT", "version": "v1" }, { "created": "Thu, 1 May 2003 20:55:44 GMT", "version": "v2" } ]

2009-03-19

[ [ "Wheeler", "James T.", "" ] ]

We derive both Lagrangian and Hamiltonian mechanics as gauge theories of Newtonian mechanics. Systematic development of the distinct symmetries of dynamics and measurement suggest that gauge theory may be motivated as a reconciliation of dynamics with measurement. Applying this principle to Newton's law with the simplest measurement theory leads to Lagrangian mechanics, while use of conformal measurement theory leads to Hamilton's equations.

16.029421

16.08131

15.675076

14.236997

16.001308

14.335973

15.658763

17.372574

15.836572

16.073622

14.428596

14.736068

15.471013

15.030322

14.524243

15.304558

15.00145

14.438772

15.535954

15.878068

14.535629

2211.14893

K. Sreeman Reddy

A timelike entangled island at the initial singularity in a JT FLRW ($\Lambda>0$) universe

17 pages, 6 figures

null

hep-th gr-qc

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

It has been argued that there are no islands in FLRW cosmologies with $\Lambda>0$ and $k=0$ arXiv:2008.01022. We argue that there is a timelike separated island at the initial singularity, and it will resolve the cosmological information paradox. The information about the particles that went beyond the horizon is not lost for our observer. By measuring Hawking radiation, we can get that information from the past when those particles were near the initial singularity. Similar to how islands inside black holes violate locality, we observe a violation of causality or noncausality but only at the initial singularity, possibly the only region where it is acceptable. We start with a review of timelike entanglement. We will follow an approach similar to the one followed in arXiv:2104.00006 for normal islands. In the end, we conjecture a generalization of the Ryu-Takayanagi or QES prescription for the case of bulk timelike entanglement in dS/CFT correspondence and comment on the emergence of time in dS/CFT correspondence.

[ { "created": "Sun, 27 Nov 2022 17:20:37 GMT", "version": "v1" } ]

2022-11-29

[ [ "Reddy", "K. Sreeman", "" ] ]

It has been argued that there are no islands in FLRW cosmologies with $\Lambda>0$ and $k=0$ arXiv:2008.01022. We argue that there is a timelike separated island at the initial singularity, and it will resolve the cosmological information paradox. The information about the particles that went beyond the horizon is not lost for our observer. By measuring Hawking radiation, we can get that information from the past when those particles were near the initial singularity. Similar to how islands inside black holes violate locality, we observe a violation of causality or noncausality but only at the initial singularity, possibly the only region where it is acceptable. We start with a review of timelike entanglement. We will follow an approach similar to the one followed in arXiv:2104.00006 for normal islands. In the end, we conjecture a generalization of the Ryu-Takayanagi or QES prescription for the case of bulk timelike entanglement in dS/CFT correspondence and comment on the emergence of time in dS/CFT correspondence.

11.472538

11.217125

11.933407

10.66593

11.343102

11.895291

11.463221

10.647402

10.950315

12.250645

10.695461

10.850202

10.526425

10.471883

10.503596

10.677557

10.584485

10.445596

10.587386

10.732494

10.643485

hep-th/0503026

Plamen Bozhilov

P. Bozhilov

String Solutions in General Backgrounds

LaTeX, 21 pages, no figures. Presented at Third Advanced Research Workshop "Gravity, Astrophysics and Strings at the Black Sea" (GAS@BS 2005), Kiten, Bulgaria, 13-20 June, 2005; V2: references added; V3: references added

null

hep-th

null

Motivated by the recent interest in the different aspects of the string/field theory duality, we describe an approach for obtaining exact string solutions in general backgrounds, based on two types of string embedding, allowing for separation of the worldsheet variables.

[ { "created": "Thu, 3 Mar 2005 14:41:15 GMT", "version": "v1" }, { "created": "Tue, 8 Mar 2005 15:33:17 GMT", "version": "v2" }, { "created": "Tue, 19 Jul 2005 12:33:29 GMT", "version": "v3" } ]

2007-05-23

[ [ "Bozhilov", "P.", "" ] ]

Motivated by the recent interest in the different aspects of the string/field theory duality, we describe an approach for obtaining exact string solutions in general backgrounds, based on two types of string embedding, allowing for separation of the worldsheet variables.

14.621847

13.37187

14.149623

12.480001

12.711004

14.986299

12.251255

13.656006

13.539454

14.132843

12.774019

13.942807

14.759667

13.059865

13.703958

13.807619

13.447597

13.02081

13.726454

14.381339

13.491718

2407.06260

Diego Liska

Luis Apolo, Suzanne Bintanja, Alejandra Castro, Diego Liska

The light we can see: Extracting black holes from weak Jacobi forms

46 pages + appendices, 1 figure

null

hep-th

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

We quantify how constraints on light states affect the asymptotic growth of heavy states in weak Jacobi forms. The constraints we consider are sparseness conditions on the Fourier coefficients of these forms, which are necessary to interpret them as gravitational path integrals. Using crossing kernels, we extract the leading and subleading behavior of these coefficients and show that the leading Cardy-like growth is robust in a wide regime of validity. On the other hand, we find that subleading corrections are sensitive to the constraints placed on the light states, and we quantify their imprint on the asymptotic growth of states. Our approach is tested against the generating function of symmetric product orbifolds, where we provide new insights into the factors contributing to the asymptotic growth of their Fourier coefficients. Finally, we use our methods to revisit the UV/IR connection that relates black hole microstate counting to modular forms. We provide a microscopic interpretation of the logarithmic corrections to the entropy of BPS black holes in N = 2, 4 ungauged supergravity in four and five dimensions, and tie it to consistency conditions in AdS$_3$/CFT$_2$.

[ { "created": "Mon, 8 Jul 2024 18:00:01 GMT", "version": "v1" } ]

2024-07-10

[ [ "Apolo", "Luis", "" ], [ "Bintanja", "Suzanne", "" ], [ "Castro", "Alejandra", "" ], [ "Liska", "Diego", "" ] ]

We quantify how constraints on light states affect the asymptotic growth of heavy states in weak Jacobi forms. The constraints we consider are sparseness conditions on the Fourier coefficients of these forms, which are necessary to interpret them as gravitational path integrals. Using crossing kernels, we extract the leading and subleading behavior of these coefficients and show that the leading Cardy-like growth is robust in a wide regime of validity. On the other hand, we find that subleading corrections are sensitive to the constraints placed on the light states, and we quantify their imprint on the asymptotic growth of states. Our approach is tested against the generating function of symmetric product orbifolds, where we provide new insights into the factors contributing to the asymptotic growth of their Fourier coefficients. Finally, we use our methods to revisit the UV/IR connection that relates black hole microstate counting to modular forms. We provide a microscopic interpretation of the logarithmic corrections to the entropy of BPS black holes in N = 2, 4 ungauged supergravity in four and five dimensions, and tie it to consistency conditions in AdS$_3$/CFT$_2$.

9.03034

9.720587

10.671721

9.116478

9.654762

10.008595

8.858665

9.016231

8.938015

10.56206

8.586575

8.606146

9.484612

8.643237

8.927711

8.911948

8.96603

8.740252

8.820824

9.148918

8.481389

0806.2496

Sang Pyo Kim

Sang Pyo Kim (Kunsan Nat'l Univ.), Hyun Kyu Lee (Hanyang Univ.)

Effective Action and Schwinger Pair Production in Scalar QED

RevTex 6 pages, no figure; Proceedings of APCTP Winter School on Black Hole Astrophysics 2008, Jan 24-29, 2008

J. Korean Phys. Soc. 54 (2009) 2605-2611

10.1063/1.2964652

null

hep-th

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

Some astrophysical objects are supposed to have very strong electromagnetic fields above the critical strength. Quantum fluctuations due to strong electromagnetic fields modify the Maxwell theory and particularly electric fields make the vacuum unstable against pair production of charged particles. We study the strong field effect such as the effective action and the Schwinger pair production in scalar QED.

[ { "created": "Mon, 16 Jun 2008 04:54:33 GMT", "version": "v1" } ]

2015-05-13

[ [ "Kim", "Sang Pyo", "", "Kunsan Nat'l Univ." ], [ "Lee", "Hyun Kyu", "", "Hanyang Univ." ] ]

Some astrophysical objects are supposed to have very strong electromagnetic fields above the critical strength. Quantum fluctuations due to strong electromagnetic fields modify the Maxwell theory and particularly electric fields make the vacuum unstable against pair production of charged particles. We study the strong field effect such as the effective action and the Schwinger pair production in scalar QED.

16.58239

13.88343

13.834594

14.027957

15.020084

14.889548

14.684985

14.217408

13.03691

17.012829

14.404179

15.378109

12.932135

13.05041

14.131843

14.464118

14.259622

14.230641

13.92517

13.25375

14.322161

1103.3705

Joerg Jaeckel

Michele Cicoli, Mark Goodsell, Joerg Jaeckel and Andreas Ringwald

Testing String Vacua in the Lab: From a Hidden CMB to Dark Forces in Flux Compactifications

37 pages, 3 figures. v2 some typos corrected

null

10.1007/JHEP07(2011)114

DESY 11-042; IPPP/11/13; DCTP/11/26

hep-th hep-ph

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

We perform a detailed analysis of the phenomenological properties of hidden Abelian gauge bosons with a kinetic mixing with the ordinary photon within type IIB flux compactifications. We study the interplay between moduli stabilisation and the Green-Schwarz mechanism that gives mass to the hidden photon paying particular attention to the role of D-terms. We present two generic classes of explicit Calabi-Yau examples with an isotropic and an anisotropic shape of the extra dimensions showing how the last case turns out to be very promising to make contact with current experiments. In fact, anisotropic compactifications lead naturally to a GeV-scale hidden photon ("dark forces" that can be searched for in beam dump experiments) for an intermediate string scale; or even to an meV-scale hidden photon (which could lead to a "hidden CMB" and can be tested by light-shining-through-a-wall experiments) in the case of TeV-scale strings.

[ { "created": "Fri, 18 Mar 2011 20:00:33 GMT", "version": "v1" }, { "created": "Tue, 26 Jul 2011 08:42:40 GMT", "version": "v2" } ]

2015-05-27

[ [ "Cicoli", "Michele", "" ], [ "Goodsell", "Mark", "" ], [ "Jaeckel", "Joerg", "" ], [ "Ringwald", "Andreas", "" ] ]

We perform a detailed analysis of the phenomenological properties of hidden Abelian gauge bosons with a kinetic mixing with the ordinary photon within type IIB flux compactifications. We study the interplay between moduli stabilisation and the Green-Schwarz mechanism that gives mass to the hidden photon paying particular attention to the role of D-terms. We present two generic classes of explicit Calabi-Yau examples with an isotropic and an anisotropic shape of the extra dimensions showing how the last case turns out to be very promising to make contact with current experiments. In fact, anisotropic compactifications lead naturally to a GeV-scale hidden photon ("dark forces" that can be searched for in beam dump experiments) for an intermediate string scale; or even to an meV-scale hidden photon (which could lead to a "hidden CMB" and can be tested by light-shining-through-a-wall experiments) in the case of TeV-scale strings.

8.912467

9.131363

9.064563

8.11111

9.162532

8.80551

9.14327

8.58846

8.304482

9.771812

9.342386

8.630976

8.944626

8.495742

8.958208

8.594312

8.991486

8.480662

8.65496

8.884139

8.555716

1601.06164

Andrew Fitzpatrick

A. Liam Fitzpatrick and Jared Kaplan

A Quantum Correction To Chaos

22+6 pages, 6 figures

null

hep-th

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

We use results on Virasoro conformal blocks to study chaotic dynamics in CFT$_2$ at large central charge c. The Lyapunov exponent $\lambda_L$, which is a diagnostic for the early onset of chaos, receives $1/c$ corrections that may be interpreted as $\lambda_L = \frac{2 \pi}{\beta} \left( 1 + \frac{12}{c} \right)$. However, out of time order correlators receive other equally important $1/c$ suppressed contributions that do not have such a simple interpretation. We revisit the proof of a bound on $\lambda_L$ that emerges at large $c$, focusing on CFT$_2$ and explaining why our results do not conflict with the analysis leading to the bound. We also comment on relationships between chaos, scattering, causality, and bulk locality.

[ { "created": "Fri, 22 Jan 2016 21:00:01 GMT", "version": "v1" } ]

2016-01-26

[ [ "Fitzpatrick", "A. Liam", "" ], [ "Kaplan", "Jared", "" ] ]

We use results on Virasoro conformal blocks to study chaotic dynamics in CFT$_2$ at large central charge c. The Lyapunov exponent $\lambda_L$, which is a diagnostic for the early onset of chaos, receives $1/c$ corrections that may be interpreted as $\lambda_L = \frac{2 \pi}{\beta} \left( 1 + \frac{12}{c} \right)$. However, out of time order correlators receive other equally important $1/c$ suppressed contributions that do not have such a simple interpretation. We revisit the proof of a bound on $\lambda_L$ that emerges at large $c$, focusing on CFT$_2$ and explaining why our results do not conflict with the analysis leading to the bound. We also comment on relationships between chaos, scattering, causality, and bulk locality.

7.243349

7.299966

8.833735

6.954244

7.270578

7.016341

6.869064

6.843131

6.681712

8.711197

6.589978

6.942828

7.448069

6.90768

6.909926

6.782537

6.784264

6.932085

6.831982

7.354696

6.824796

2210.05820

Daniel Green

EFT for de Sitter Space

32 pages, 2 figures; Invited chapter for the Section "Effective Quantum Gravity" edited by C. Burgess and J. Donoghue of the "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, expected in 2023)

null

hep-th astro-ph.CO hep-ph

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

The physics of de Sitter space is essential to our understanding of our cosmological past, present, and future. It forms the foundation for the statistical predictions of inflation in terms of quantum vacuum fluctuations that are being tested with cosmic surveys. In addition, the current expansion of the universe is dominated by an apparently constant vacuum energy and we again find our universe described by a de Sitter epoch. Despite the success of our predictions for cosmological observables, conceptual questions of the nature of de Sitter abound and are exacerbated by technical challenges in quantum field theory and perturbative quantum gravity in curved backgrounds. In recent years, significant process has been made using effective field theory techniques to tame these breakdowns of perturbation theory. We will discuss how to understand the long-wavelength fluctuations produced by accelerating cosmological backgrounds and how to resolve both the UV and IR obstacles that arise. Divergences at long wavelengths are resummed by renormalization group (RG) flow in the EFT. For light scalar fields, the RG flow manifests itself as the stochastic inflation formalism. In single-field inflation, long-wavelength metric fluctuations are conserved outside the horizon to all-loop order, which can be understood easily in EFT terms from power counting and symmetries.

[ { "created": "Tue, 11 Oct 2022 23:04:15 GMT", "version": "v1" } ]

2022-10-13

[ [ "Green", "Daniel", "" ] ]

The physics of de Sitter space is essential to our understanding of our cosmological past, present, and future. It forms the foundation for the statistical predictions of inflation in terms of quantum vacuum fluctuations that are being tested with cosmic surveys. In addition, the current expansion of the universe is dominated by an apparently constant vacuum energy and we again find our universe described by a de Sitter epoch. Despite the success of our predictions for cosmological observables, conceptual questions of the nature of de Sitter abound and are exacerbated by technical challenges in quantum field theory and perturbative quantum gravity in curved backgrounds. In recent years, significant process has been made using effective field theory techniques to tame these breakdowns of perturbation theory. We will discuss how to understand the long-wavelength fluctuations produced by accelerating cosmological backgrounds and how to resolve both the UV and IR obstacles that arise. Divergences at long wavelengths are resummed by renormalization group (RG) flow in the EFT. For light scalar fields, the RG flow manifests itself as the stochastic inflation formalism. In single-field inflation, long-wavelength metric fluctuations are conserved outside the horizon to all-loop order, which can be understood easily in EFT terms from power counting and symmetries.

11.487037

11.610546

11.498638

10.986392

12.086081

12.542131

12.786037

11.029874

11.506051

12.680329

11.72894

11.953026

11.106771

11.432422

11.676933

11.725867

11.674675

11.715874

11.345369

11.434933

11.394633

0910.1653

Wonwoo Lee

Bum-Hoon Lee, Chul H. Lee, Wonwoo Lee, and Changheon Oh

Instanton solutions mediating tunneling between the degenerate vacua in curved space

Some typos are corrected and references are added with respect to the published version. 17pages, 11fig

Phys.Rev.D82:024019,2010

10.1103/PhysRevD.82.024019

CQUeST-2009-0297

hep-th gr-qc

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

We investigate the instanton solution between the degenerate vacua in curved space. We show that there exist $O(4)$-symmetric solutions not only in de Sitter but also in both flat and anti-de Sitter space. The geometry of the new type of solutions is finite and preserves the $Z_2$ symmetry. The nontrivial solution corresponding to the tunneling is possible only if gravity is taken into account. The numerical solutions as well as the analytic computations using the thin-wall approximation are presented. We expect that these solutions do not have any negative mode as in the instanton solution.

[ { "created": "Fri, 9 Oct 2009 05:53:56 GMT", "version": "v1" }, { "created": "Thu, 29 Oct 2009 12:38:24 GMT", "version": "v2" }, { "created": "Tue, 13 Jul 2010 07:02:10 GMT", "version": "v3" } ]

2014-11-20

[ [ "Lee", "Bum-Hoon", "" ], [ "Lee", "Chul H.", "" ], [ "Lee", "Wonwoo", "" ], [ "Oh", "Changheon", "" ] ]

We investigate the instanton solution between the degenerate vacua in curved space. We show that there exist $O(4)$-symmetric solutions not only in de Sitter but also in both flat and anti-de Sitter space. The geometry of the new type of solutions is finite and preserves the $Z_2$ symmetry. The nontrivial solution corresponding to the tunneling is possible only if gravity is taken into account. The numerical solutions as well as the analytic computations using the thin-wall approximation are presented. We expect that these solutions do not have any negative mode as in the instanton solution.

10.369065

9.003325

10.035971

9.029904

9.076483

9.050287

9.133036

9.226797

8.889212

10.369417

9.198441

8.96213

10.07263

9.577923

9.461331

9.375841

8.843376

9.42592

9.549318

10.491175

9.312593

2104.14491

Aleksandr Popolitov

A. Anokhina, A. Morozov, A. Popolitov

Khovanov polynomials for satellites and asymptotic adjoint polynomials

null

10.1142/S0217751X21502432

null

hep-th math-ph math.GT math.MP

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

We compute explicitly the Khovanov polynomials (using the computer program from katlas.org) for the two simplest families of the satellite knots, which are the twisted Whitehead doubles and the two-strand cables. We find that a quantum group decomposition for the HOMFLY polynomial of a satellite knot can be extended to the Khovanov polynomial, whose quantum group properties are not manifest. Namely, the Khovanov polynomial of a twisted Whitehead double or two-strand cable (the two simplest satellite families) can be presented as a naively deformed linear combination of the pattern and companion invariants. For a given companion, the satellite polynomial "smoothly" depends on the pattern but for the "jump" at one critical point defined by the s-invariant of the companion knot. A similar phenomenon is known for the knot Floer homology and tau-invariant for the same kind of satellites.

[ { "created": "Thu, 29 Apr 2021 17:00:25 GMT", "version": "v1" } ]

2022-02-02

[ [ "Anokhina", "A.", "" ], [ "Morozov", "A.", "" ], [ "Popolitov", "A.", "" ] ]

We compute explicitly the Khovanov polynomials (using the computer program from katlas.org) for the two simplest families of the satellite knots, which are the twisted Whitehead doubles and the two-strand cables. We find that a quantum group decomposition for the HOMFLY polynomial of a satellite knot can be extended to the Khovanov polynomial, whose quantum group properties are not manifest. Namely, the Khovanov polynomial of a twisted Whitehead double or two-strand cable (the two simplest satellite families) can be presented as a naively deformed linear combination of the pattern and companion invariants. For a given companion, the satellite polynomial "smoothly" depends on the pattern but for the "jump" at one critical point defined by the s-invariant of the companion knot. A similar phenomenon is known for the knot Floer homology and tau-invariant for the same kind of satellites.

10.274111

11.080459

11.804678

10.982339

12.990932

11.484085

12.748745

10.662909

10.761707

13.661777

10.850194

10.206268

10.75358

10.223731

10.295744

10.044311

10.139154

9.856818

10.189317

10.7926

10.421372

1312.7340

Alan H. Guth

Quantum Fluctuations in Cosmology and How They Lead to a Multiverse

23 pages, 4 figures. Published in the Proceedings of the 25th Solvay Conference on Physics, "The Theory of the Quantum World," Brussels, 19--22 October 2011, edited by D. Gross, M. Henneaux, and A. Sevrin (World Scientific, 2013)

Proceedings of the 25th Solvay Conference on Physics, "The Theory of the Quantum World," Brussels, 19--22 October 2011, edited by D. Gross, M. Henneaux, and A. Sevrin (World Scientific, 2013)

null

MIT-CTP 4489

hep-th gr-qc

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

This article discusses density perturbations in inflationary models, offering a pedagogical description of how these perturbations are generated by quantum fluctuations in the early universe. A key feature of inflation is that that rapid expansion can stretch microscopic fluctuations to cosmological proportions. I discuss also another important conseqence of quantum fluctuations: the fact that almost all inflationary models become eternal, so that once inflation starts, it never stops.

[ { "created": "Fri, 27 Dec 2013 20:59:15 GMT", "version": "v1" } ]

2014-01-15

[ [ "Guth", "Alan H.", "" ] ]

This article discusses density perturbations in inflationary models, offering a pedagogical description of how these perturbations are generated by quantum fluctuations in the early universe. A key feature of inflation is that that rapid expansion can stretch microscopic fluctuations to cosmological proportions. I discuss also another important conseqence of quantum fluctuations: the fact that almost all inflationary models become eternal, so that once inflation starts, it never stops.

11.170498

13.153411

11.177877

11.905267

11.118846

11.22145

11.085868

12.846267

11.231064

12.77903

12.178876

11.352118

10.729692

10.880438

11.075248

11.372118

10.990613

10.7885

11.539055

11.116501

11.308742

hep-th/9712072

Leonard Susskind

Daniela Bigatti, Leonard Susskind

Review of Matrix Theory

45 pages, LaTeX, 2 figures in .eps format

null

SU-ITP 97/51

hep-th

null

In this article we present a self contained review of the principles of Matrix Theory including the basics of light cone quantization, the formulation of 11 dimensional M-Theory in terms of supersymmetric quantum mechanics, the origin of membranes and the rules of compactification on 1,2 and 3 tori. We emphasize the unusual origins of space time and gravitation which are very different than in conventional approaches to quantum gravity. Finally we discuss application of Matrix Theory to the quantum mechanics of Schwarzschild black holes. This work is based on lectures given by the second author at the Cargese ASI 1997 and at the Institute for Advanced Study in Princeton.

[ { "created": "Sat, 6 Dec 1997 20:48:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bigatti", "Daniela", "" ], [ "Susskind", "Leonard", "" ] ]

In this article we present a self contained review of the principles of Matrix Theory including the basics of light cone quantization, the formulation of 11 dimensional M-Theory in terms of supersymmetric quantum mechanics, the origin of membranes and the rules of compactification on 1,2 and 3 tori. We emphasize the unusual origins of space time and gravitation which are very different than in conventional approaches to quantum gravity. Finally we discuss application of Matrix Theory to the quantum mechanics of Schwarzschild black holes. This work is based on lectures given by the second author at the Cargese ASI 1997 and at the Institute for Advanced Study in Princeton.

9.346153

7.555221

8.419511

8.04223

7.832496

7.473248

8.070819

7.437185

8.026533

9.539797

7.507629

7.42493

8.127553

7.305496

7.263232

7.703174

7.432723

7.225122

7.428804

7.794528

7.293111

hep-th/0306268

Ricardo Machado de Amorim

Ricardo Amorim and Franz A. Farias

The Hamiltonian BRST quantization of a noncommutative nonabelian gauge theory and its Seiberg-Witten map

10 pages, Latex. Address added

Phys.Rev. D69 (2004) 045013

10.1103/PhysRevD.69.045013

null

hep-th

null

We consider the Hamiltonian BRST quantization of a noncommutative non abelian gauge theory. The Seiberg-Witten map of all phase-space variables, including multipliers, ghosts and their momenta, is given in first order in the noncommutative parameter $\theta$. We show that there exists a complete consistence between the gauge structures of the original and of the mapped theories, derived in a canonical way, once we appropriately choose the map solutions.

[ { "created": "Thu, 26 Jun 2003 19:47:55 GMT", "version": "v1" } ]

2009-11-10

[ [ "Amorim", "Ricardo", "" ], [ "Farias", "Franz A.", "" ] ]

We consider the Hamiltonian BRST quantization of a noncommutative non abelian gauge theory. The Seiberg-Witten map of all phase-space variables, including multipliers, ghosts and their momenta, is given in first order in the noncommutative parameter $\theta$. We show that there exists a complete consistence between the gauge structures of the original and of the mapped theories, derived in a canonical way, once we appropriately choose the map solutions.

12.012033

9.843765

12.455754

9.813263

11.165204

11.083587

11.521416

10.506535

10.732139

12.652882

10.187304

10.011477

11.380498

10.307921

10.551748

10.546378

10.578436

10.109455

10.63672

11.388237

10.106763

1405.0828

Athanasios Lahanas

A. B. Lahanas and K. Tamvakis

Inflationary behavior of $R^2$ gravity in a conformal framework

17 pages, 8 figures, revised version, references and text added, typos corrected

Phys. Rev. D 90, 123530 (2014)

10.1103/PhysRevD.90.123530

null

hep-th gr-qc hep-ph

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

Models of inflation are tightly constrained by the PLANCK satellite data. Among them, Starobinsky's model with an exponential type potential seems to be challenged by the recent BICEP2 results. The model is based on the existence of $\,~ R^2$ terms in the Einstein-Hilbert action, which have their origin in the conformal-anomaly. Conformal (or Weyl) gravitational theories are relevant when matter fields become effectively massless; i.e. their masses are negligible in comparison with the spacetime curvature. These theories may include other, additional scalar fields. We show that their presence under general conditions does not destabilize the inflationary behaviour encountered in the Starobinsky model, although the issue of the exact quantitative agreement with existing data, like the tensor to scalar ratio, rests on the choice of parameters.

[ { "created": "Mon, 5 May 2014 09:07:46 GMT", "version": "v1" }, { "created": "Mon, 12 May 2014 19:05:04 GMT", "version": "v2" }, { "created": "Thu, 11 Dec 2014 15:31:59 GMT", "version": "v3" } ]

2015-01-28

[ [ "Lahanas", "A. B.", "" ], [ "Tamvakis", "K.", "" ] ]

Models of inflation are tightly constrained by the PLANCK satellite data. Among them, Starobinsky's model with an exponential type potential seems to be challenged by the recent BICEP2 results. The model is based on the existence of $\,~ R^2$ terms in the Einstein-Hilbert action, which have their origin in the conformal-anomaly. Conformal (or Weyl) gravitational theories are relevant when matter fields become effectively massless; i.e. their masses are negligible in comparison with the spacetime curvature. These theories may include other, additional scalar fields. We show that their presence under general conditions does not destabilize the inflationary behaviour encountered in the Starobinsky model, although the issue of the exact quantitative agreement with existing data, like the tensor to scalar ratio, rests on the choice of parameters.

12.055326

11.493104

11.854723

11.35068

12.359383

11.67817

12.604527

12.452765

11.790093

12.838372

11.666083

11.343181

11.377419

11.264025

11.868507

11.526921

11.521088

11.381986

11.531251

11.265388

11.23559

hep-th/9703095

Masahiro Anazawa

Fusion rules and macroscopic loops from discretized approach to two-dimensional gravity

reference added, 72 pages, latex, 38 postscript figures

null

hep-th

null

We investigate the multi-loop correlators and the multi-point functions for all of the scaling operators in unitary minimal conformal models coupled to two-dimensional gravity from the two-matrix model. We show that simple fusion rules for these scaling operators exist, and these are summarized in a compact form as fusion rules for loops. We clarify the role of the boundary operators and discuss its connection to how loops touch each other. We derive a general formula for the n-resolvent correlators, and point out the structure similar to the crossing symmetry of underlying conformal field theory. We discuss the connection of the boundary conditions of the loop correlators to the touching of loops for the case of the four-loop correlators.

[ { "created": "Thu, 13 Mar 1997 11:23:46 GMT", "version": "v1" }, { "created": "Fri, 4 Apr 1997 10:15:35 GMT", "version": "v2" } ]

2008-02-03

[ [ "Anazawa", "Masahiro", "" ] ]

We investigate the multi-loop correlators and the multi-point functions for all of the scaling operators in unitary minimal conformal models coupled to two-dimensional gravity from the two-matrix model. We show that simple fusion rules for these scaling operators exist, and these are summarized in a compact form as fusion rules for loops. We clarify the role of the boundary operators and discuss its connection to how loops touch each other. We derive a general formula for the n-resolvent correlators, and point out the structure similar to the crossing symmetry of underlying conformal field theory. We discuss the connection of the boundary conditions of the loop correlators to the touching of loops for the case of the four-loop correlators.

12.963008

11.147097

14.433238

11.847727

11.473551

11.753364

11.589814

11.400492

11.972889

15.307472

12.13168

12.669209

13.478659

12.403687

12.876734

12.96894

12.55053

12.275833

12.970384

13.297476

12.550716

hep-th/0604063

Jixiang Fu

Ji-Xiang Fu and Shing-Tung Yau

The theory of superstring with flux on non-Kahler manifolds and the complex Monge-Ampere equation

null

J. Diff.Geom.78:369-428,2009

null

hep-th

null

The purpose of this paper is to solve a problem posed by Strominger in constructing smooth models of superstring theory with flux. These are given by non-Kahler manifolds with torsion.

[ { "created": "Mon, 10 Apr 2006 01:14:32 GMT", "version": "v1" } ]

2010-03-02

[ [ "Fu", "Ji-Xiang", "" ], [ "Yau", "Shing-Tung", "" ] ]

The purpose of this paper is to solve a problem posed by Strominger in constructing smooth models of superstring theory with flux. These are given by non-Kahler manifolds with torsion.

13.823881

10.988836

15.325352

11.547783

12.371638

13.727992

13.292374

11.674241

11.901904

15.925992

12.503825

12.675941

13.564427

12.683484

12.169439

12.398192

11.971527

12.797671

12.62872

13.674482

11.837127

hep-th/0211188

Michela Petrini

Chong-Sun Chu, Michela Petrini, Rodolfo Russo, Alessandro Tanzini

String interactions and discrete symmetries of the pp-wave background

Proceeding of the 35th Symposium Ahrenshoop Aug 2002 and the Leuven RTN-workshop Sept 2002

Class.Quant.Grav. 20 (2003) S457-S464

10.1088/0264-9381/20/12/311

null

hep-th

null

Free string theory on the plane-wave background displays a discrete Z2 symmetry exchanging the two transverse SO(4) rotation groups. This symmetry should be respected also at the interacting level. We show that the zero mode structure proposed in hep-th/0208148 can be completed to a full kinematical vertex, contrary to claims appeared in the previous literature. We also comment on the relation with recent works on the string-bit formalism and on the comparison with the field theory side of the correspondence.

[ { "created": "Wed, 20 Nov 2002 16:57:57 GMT", "version": "v1" } ]

2009-11-07

[ [ "Chu", "Chong-Sun", "" ], [ "Petrini", "Michela", "" ], [ "Russo", "Rodolfo", "" ], [ "Tanzini", "Alessandro", "" ] ]

Free string theory on the plane-wave background displays a discrete Z2 symmetry exchanging the two transverse SO(4) rotation groups. This symmetry should be respected also at the interacting level. We show that the zero mode structure proposed in hep-th/0208148 can be completed to a full kinematical vertex, contrary to claims appeared in the previous literature. We also comment on the relation with recent works on the string-bit formalism and on the comparison with the field theory side of the correspondence.

16.077085

13.652896

16.649118

14.46389

14.004875

14.977869

16.130163

13.594327

13.710143

21.159052

13.339553

14.088371

14.092279

13.405451

13.613547

13.284636

13.557178

13.34883

13.159632

15.057058

13.704463

1904.01018

Sa\v{s}o Grozdanov

Sa\v{s}o Grozdanov, Pavel K. Kovtun, Andrei O. Starinets, Petar Tadi\'c

On the convergence of the gradient expansion in hydrodynamics

V3: 5 pages, 2 figures. Final version. Published in Physical Review Letters with the title "Convergence of the Gradient Expansion in Hydrodynamics"

Phys. Rev. Lett. 122, 251601 (2019)

10.1103/PhysRevLett.122.251601

MIT-CTP/5100, OUTP-19-01P

hep-th

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

Hydrodynamic excitations corresponding to sound and shear modes in fluids are characterised by gapless dispersion relations. In the hydrodynamic gradient expansion, their frequencies are represented by power series in spatial momenta. We investigate the analytic structure and convergence properties of the hydrodynamic series by studying the associated spectral curve in the space of complexified frequency and complexified spatial momentum. For the strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills plasma, we use the holographic duality methods to demonstrate that the derivative expansions have finite non-zero radii of convergence. Obstruction to the convergence of hydrodynamic series arises from level-crossings in the quasinormal spectrum at complex momenta.

[ { "created": "Mon, 1 Apr 2019 18:00:01 GMT", "version": "v1" }, { "created": "Wed, 1 May 2019 13:09:26 GMT", "version": "v2" }, { "created": "Fri, 28 Jun 2019 21:16:38 GMT", "version": "v3" } ]

2019-07-02

[ [ "Grozdanov", "Sašo", "" ], [ "Kovtun", "Pavel K.", "" ], [ "Starinets", "Andrei O.", "" ], [ "Tadić", "Petar", "" ] ]

Hydrodynamic excitations corresponding to sound and shear modes in fluids are characterised by gapless dispersion relations. In the hydrodynamic gradient expansion, their frequencies are represented by power series in spatial momenta. We investigate the analytic structure and convergence properties of the hydrodynamic series by studying the associated spectral curve in the space of complexified frequency and complexified spatial momentum. For the strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills plasma, we use the holographic duality methods to demonstrate that the derivative expansions have finite non-zero radii of convergence. Obstruction to the convergence of hydrodynamic series arises from level-crossings in the quasinormal spectrum at complex momenta.

9.429069

8.47001

9.677365

7.73815

8.831036

7.809847

8.603877

7.533025

7.780855

9.62317

7.807827

8.13066

8.397852

8.13557

8.254473

7.960627

8.234003

8.169748

8.252678

8.594407

8.289398

0708.4201

Paul Hohler

Aleksey Cherman, Thomas D. Cohen, Paul M. Hohler

A sticky business: the status of the conjectured viscosity/entropy density bound

23 pages, 4 figures, added references, corrected typos, added subsection in response to Son's comments in arXiv:0709.4651

JHEP 0802:026,2008

10.1088/1126-6708/2008/02/026

DOE/ER/40762-397

hep-th cond-mat.stat-mech hep-ph nucl-th physics.flu-dyn

null

There have been a number of forms of a conjecture that there is a universal lower bound on the ratio, eta/s, of the shear viscosity, eta, to entropy density, s, with several different domains of validity. We examine the various forms of the conjecture. We argue that a number of variants of the conjecture are not viable due to the existence of theoretically consistent counterexamples. We also note that much of the evidence in favor of a bound does not apply to the variants which have not yet been ruled out.

[ { "created": "Thu, 30 Aug 2007 16:48:23 GMT", "version": "v1" }, { "created": "Mon, 3 Dec 2007 17:39:14 GMT", "version": "v2" } ]

2009-04-03

[ [ "Cherman", "Aleksey", "" ], [ "Cohen", "Thomas D.", "" ], [ "Hohler", "Paul M.", "" ] ]

There have been a number of forms of a conjecture that there is a universal lower bound on the ratio, eta/s, of the shear viscosity, eta, to entropy density, s, with several different domains of validity. We examine the various forms of the conjecture. We argue that a number of variants of the conjecture are not viable due to the existence of theoretically consistent counterexamples. We also note that much of the evidence in favor of a bound does not apply to the variants which have not yet been ruled out.

9.053366

7.334732

8.490561

7.63809

7.977887

8.173357

7.145957

7.988427

7.957594

8.643922

8.029426

7.72539

7.858219

7.828654

7.895031

7.901423

7.992802

8.095714

7.9507

8.104352

7.610901

hep-th/9205098

Robert Mann

R.B. Mann and S.F. Ross

Matching Conditions and Gravitational Collapse in Two-Dimensional Gravity

22 pgs

Class.Quant.Grav.9:2335-2350,1992

10.1088/0264-9381/9/10/016

null

hep-th

null

The general theory of matching conditions is developed for gravitational theories in two spacetime dimensions. Models inspired from general relativity and from string theory are considered. These conditions are used to study collapsing dust solutions in spacetimes with non-zero cosmological constant, demonstrating how two-dimensional black holes can arise as the endpoint of such collapse processes.

[ { "created": "Wed, 27 May 1992 16:18:36 GMT", "version": "v1" } ]

2010-04-06

[ [ "Mann", "R. B.", "" ], [ "Ross", "S. F.", "" ] ]

The general theory of matching conditions is developed for gravitational theories in two spacetime dimensions. Models inspired from general relativity and from string theory are considered. These conditions are used to study collapsing dust solutions in spacetimes with non-zero cosmological constant, demonstrating how two-dimensional black holes can arise as the endpoint of such collapse processes.

15.651264

15.128432

11.936167

11.909197

12.319995

13.089255

12.625626

11.866925

12.902415

12.488648

13.333724

12.937283

12.124611

12.45332

12.231061

12.474736

13.276156

12.330633

13.206174

12.611701

14.013139

1508.01477

Ioannis Florakis

Ignatios Antoniadis, Ioannis Florakis, Stefan Hohenegger, K.S. Narain, Ahmad Zein Assi

Probing the Moduli Dependence of Refined Topological Amplitudes

30 pages

Nuclear Physics, Section B (2015), pp. 252-281

10.1016/j.nuclphysb.2015.10.016

CERN-PH-TH/2015-159

hep-th

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

With the aim of providing a worldsheet description of the refined topological string, we continue the study of a particular class of higher derivative couplings $F_{g,n}$ in the type II string effective action compactified on a Calabi-Yau threefold. We analyse first order differential equations in the anti-holomorphic moduli of the theory, which relate the $F_{g,n}$ to other component couplings. From the point of view of the topological theory, these equations describe the contribution of non-physical states to twisted correlation functions and encode an obstruction for interpreting the $F_{g,n}$ as the free energy of the refined topological string theory. We investigate possibilities of lifting this obstruction by formulating conditions on the moduli dependence under which the differential equations simplify and take the form of generalised holomorphic anomaly equations. We further test this approach against explicit calculations in the dual heterotic theory.

[ { "created": "Thu, 6 Aug 2015 18:03:46 GMT", "version": "v1" } ]

2015-11-23

[ [ "Antoniadis", "Ignatios", "" ], [ "Florakis", "Ioannis", "" ], [ "Hohenegger", "Stefan", "" ], [ "Narain", "K. S.", "" ], [ "Assi", "Ahmad Zein", "" ] ]

With the aim of providing a worldsheet description of the refined topological string, we continue the study of a particular class of higher derivative couplings $F_{g,n}$ in the type II string effective action compactified on a Calabi-Yau threefold. We analyse first order differential equations in the anti-holomorphic moduli of the theory, which relate the $F_{g,n}$ to other component couplings. From the point of view of the topological theory, these equations describe the contribution of non-physical states to twisted correlation functions and encode an obstruction for interpreting the $F_{g,n}$ as the free energy of the refined topological string theory. We investigate possibilities of lifting this obstruction by formulating conditions on the moduli dependence under which the differential equations simplify and take the form of generalised holomorphic anomaly equations. We further test this approach against explicit calculations in the dual heterotic theory.

7.657345

7.776901

9.112563

7.3026

7.73164

8.040918

7.458869

7.279402

7.520209

10.389788

7.764087

7.449066

7.799977

7.60118

7.347132

7.62063

7.255735

7.428117

7.557015

7.954438

7.69649