LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1312.1050

Kazuhiro Sakai

Takenori Ishii and Kazuhiro Sakai

Thermodynamic limit of the Nekrasov-type formula for E-string theory

19 pages. v2: title and footnote 1 changed, typos corrected, version to appear in JHEP

JHEP 02 (2014) 087, 0-17

10.1007/JHEP02(2014)087

null

hep-th math.AG

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

We give a proof of the Nekrasov-type formula proposed by one of the authors for the Seiberg-Witten prepotential for the E-string theory on R^4 x T^2. We take the thermodynamic limit of the Nekrasov-type formula following the example of Nekrasov-Okounkov and reproduce the Seiberg-Witten description of the prepotential. The Seiberg-Witten curve obtained directly from the Nekrasov-type formula is of genus greater than one. We find that this curve is transformed into the known elliptic curve by a simple map. We consider the cases in which the low energy theory has E_8, E_7+A_1 or E_6+A_2 as a global symmetry.

[ { "created": "Wed, 4 Dec 2013 08:11:22 GMT", "version": "v1" }, { "created": "Wed, 19 Feb 2014 07:59:35 GMT", "version": "v2" } ]

2014-02-21

[ [ "Ishii", "Takenori", "" ], [ "Sakai", "Kazuhiro", "" ] ]

We give a proof of the Nekrasov-type formula proposed by one of the authors for the Seiberg-Witten prepotential for the E-string theory on R^4 x T^2. We take the thermodynamic limit of the Nekrasov-type formula following the example of Nekrasov-Okounkov and reproduce the Seiberg-Witten description of the prepotential. The Seiberg-Witten curve obtained directly from the Nekrasov-type formula is of genus greater than one. We find that this curve is transformed into the known elliptic curve by a simple map. We consider the cases in which the low energy theory has E_8, E_7+A_1 or E_6+A_2 as a global symmetry.

5.717494

6.027327

6.733365

6.103522

6.038861

5.936822

6.030415

6.024854

6.110526

7.237132

5.405955

5.641103

6.152193

5.626653

5.783104

5.901845

5.823776

5.569541

5.679489

5.881207

5.574496

2103.04420

Tomasz Taylor

Wei Fan, Angelos Fotopoulos, Stephan Stieberger, Tomasz R. Taylor, Bin Zhu

Conformal Blocks from Celestial Gluon Amplitudes

16 pages. v2: coefficients simplified. v3: updated to match JHEP

null

10.1007/JHEP05(2021)170

null

hep-th

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

In celestial conformal field theory, gluons are represented by primary fields with dimensions $\Delta=1+i\lambda$, $\lambda\in\mathbb{R}$ and spin $J=\pm 1$, in the adjoint representation of the gauge group. All two- and three-point correlation functions of these fields are zero as a consequence of four-dimensional kinematic constraints. Four-point correlation functions contain delta-function singularities enforcing planarity of four-particle scattering events. We relax these constraints by taking a shadow transform of one field and perform conformal block decomposition of the corresponding correlators. We compute the conformal block coefficients. When decomposed in channels that are "compatible" in two and four dimensions, such four-point correlators contain conformal blocks of primary fields with dimensions $\Delta=2+M+i\lambda$, where $M\ge 0$ is an integer, with integer spin $J=-M,-M+2,\dots,M-2,M$. They appear in all gauge group representations obtained from a tensor product of two adjoint representations. When decomposed in incompatible channels, they also contain primary fields with continuous complex spin, but with positive integer dimensions.

[ { "created": "Sun, 7 Mar 2021 18:30:44 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2021 13:41:53 GMT", "version": "v2" }, { "created": "Mon, 26 Apr 2021 13:34:26 GMT", "version": "v3" } ]

2023-01-11

[ [ "Fan", "Wei", "" ], [ "Fotopoulos", "Angelos", "" ], [ "Stieberger", "Stephan", "" ], [ "Taylor", "Tomasz R.", "" ], [ "Zhu", "Bin", "" ] ]

In celestial conformal field theory, gluons are represented by primary fields with dimensions $\Delta=1+i\lambda$, $\lambda\in\mathbb{R}$ and spin $J=\pm 1$, in the adjoint representation of the gauge group. All two- and three-point correlation functions of these fields are zero as a consequence of four-dimensional kinematic constraints. Four-point correlation functions contain delta-function singularities enforcing planarity of four-particle scattering events. We relax these constraints by taking a shadow transform of one field and perform conformal block decomposition of the corresponding correlators. We compute the conformal block coefficients. When decomposed in channels that are "compatible" in two and four dimensions, such four-point correlators contain conformal blocks of primary fields with dimensions $\Delta=2+M+i\lambda$, where $M\ge 0$ is an integer, with integer spin $J=-M,-M+2,\dots,M-2,M$. They appear in all gauge group representations obtained from a tensor product of two adjoint representations. When decomposed in incompatible channels, they also contain primary fields with continuous complex spin, but with positive integer dimensions.

8.316925

8.417146

9.767246

8.223564

9.097411

8.333215

8.329127

8.646304

7.522158

9.787669

7.83387

7.747323

8.72659

7.648255

7.817507

7.953433

8.007085

8.072287

7.849528

7.975662

7.651547

1103.2594

Maciej Trzetrzelewski

Dirac equation for embedded 4-geometries

25 pages, 6 figures, v2: extended version, v3: published version, minor corrections

International Journal of Modern Physics D, Vol. 22, No. 6 (2013) 1350024

10.1142/S0218271813500247

null

hep-th gr-qc

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

We apply Dirac's square root idea to constraints for embedded 4-geometries swept by a 3-dimensional membrane. The resulting Dirac-like equation is then analyzed for general coordinates as well as for the case of a Friedmann-Robertson-Walker metric for spatially closed geometries. The problem of the singularity formation at quantum level is addressed.

[ { "created": "Mon, 14 Mar 2011 07:06:37 GMT", "version": "v1" }, { "created": "Mon, 9 Apr 2012 16:31:00 GMT", "version": "v2" }, { "created": "Sun, 24 Mar 2013 16:19:02 GMT", "version": "v3" } ]

2013-03-26

[ [ "Trzetrzelewski", "Maciej", "" ] ]

We apply Dirac's square root idea to constraints for embedded 4-geometries swept by a 3-dimensional membrane. The resulting Dirac-like equation is then analyzed for general coordinates as well as for the case of a Friedmann-Robertson-Walker metric for spatially closed geometries. The problem of the singularity formation at quantum level is addressed.

16.057251

15.972609

13.230699

14.118332

15.625332

15.489744

16.877422

13.962801

15.494099

16.370897

14.865231

15.27445

14.039684

14.26263

14.922273

14.68364

15.088761

14.59773

14.638668

15.061141

14.100365

2007.05915

Ho Tat Lam

Po-Shen Hsin and Ho Tat Lam

Discrete Theta Angles, Symmetries and Anomalies

58 pages

SciPost Phys. 10, 032 (2021)

10.21468/SciPostPhys.10.2.032

null

hep-th cond-mat.str-el

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

Gauge theories in various dimensions often admit discrete theta angles, that arise from gauging a global symmetry with an additional symmetry protected topological (SPT) phase. We discuss how the global symmetry and 't Hooft anomaly depends on the discrete theta angles by coupling the gauge theory to a topological quantum field theory (TQFT). We observe that gauging an Abelian subgroup symmetry, that participates in symmetry extension, with an additional SPT phase leads to a new theory with an emergent Abelian symmetry that also participates in a symmetry extension. The symmetry extension of the gauge theory is controlled by the discrete theta angle which comes from the SPT phase. We find that discrete theta angles can lead to two-group symmetry in 4d QCD with $SU(N),SU(N)/\mathbb{Z}_k$ or $SO(N)$ gauge groups as well as various 3d and 2d gauge theories.

[ { "created": "Sun, 12 Jul 2020 05:29:37 GMT", "version": "v1" }, { "created": "Sat, 5 Sep 2020 21:53:43 GMT", "version": "v2" } ]

2021-02-17

[ [ "Hsin", "Po-Shen", "" ], [ "Lam", "Ho Tat", "" ] ]

Gauge theories in various dimensions often admit discrete theta angles, that arise from gauging a global symmetry with an additional symmetry protected topological (SPT) phase. We discuss how the global symmetry and 't Hooft anomaly depends on the discrete theta angles by coupling the gauge theory to a topological quantum field theory (TQFT). We observe that gauging an Abelian subgroup symmetry, that participates in symmetry extension, with an additional SPT phase leads to a new theory with an emergent Abelian symmetry that also participates in a symmetry extension. The symmetry extension of the gauge theory is controlled by the discrete theta angle which comes from the SPT phase. We find that discrete theta angles can lead to two-group symmetry in 4d QCD with $SU(N),SU(N)/\mathbb{Z}_k$ or $SO(N)$ gauge groups as well as various 3d and 2d gauge theories.

7.071394

6.573781

8.275632

6.683593

7.053364

6.33737

7.109727

6.823474

6.731937

8.541275

6.718419

6.579507

7.347019

6.867837

6.805079

6.564592

6.83012

6.639246

6.680249

7.086203

6.837541

2104.11668

Christopher Beem

Christopher Beem, Carlo Meneghelli

A geometric free field realisation for the genus-two class $\mathcal{S}$ theory of type $\mathfrak{a}_1$

11 pages; small edits for clarity in v2; to appear in Physical Review D

Phys. Rev. D 104, 065015 (2021)

10.1103/PhysRevD.104.065015

null

hep-th math.QA math.RT

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

We present a free field realisation for the vertex operator algebra associated to the genus-two, class $\mathcal{S}$ superconformal field theory of type $\mathfrak{a}_1$. The free field realisation is in the style of recent work by the authors, and is formulated in terms of a one-dimensional isotropic lattice vertex algebra along with two pairs of symplectic fermions. Our realisation makes manifest an enhanced ${\rm USp}(4)$ outer automorphism group of the VOA that is inherited from the symplectic fermion system. This extends an ${\rm SU(2)}$ outer automorphism that has been observed in recent work of Kiyoshige and Nishinaka and significantly simplifies the structure of the algebra. Along the way, we also produce a realisation of the generic subregular Drinfel'd-Sokolov $\mathcal{W}$ algebra of type $\mathcal{c}_2$ in terms of the generic principle $\mathcal{W}$ algebra of type $\mathfrak{c}_2$ and a one-dimensional isotropic lattice vertex algebra.

[ { "created": "Fri, 23 Apr 2021 15:51:40 GMT", "version": "v1" }, { "created": "Mon, 26 Jul 2021 21:22:49 GMT", "version": "v2" } ]

2021-09-23

[ [ "Beem", "Christopher", "" ], [ "Meneghelli", "Carlo", "" ] ]

We present a free field realisation for the vertex operator algebra associated to the genus-two, class $\mathcal{S}$ superconformal field theory of type $\mathfrak{a}_1$. The free field realisation is in the style of recent work by the authors, and is formulated in terms of a one-dimensional isotropic lattice vertex algebra along with two pairs of symplectic fermions. Our realisation makes manifest an enhanced ${\rm USp}(4)$ outer automorphism group of the VOA that is inherited from the symplectic fermion system. This extends an ${\rm SU(2)}$ outer automorphism that has been observed in recent work of Kiyoshige and Nishinaka and significantly simplifies the structure of the algebra. Along the way, we also produce a realisation of the generic subregular Drinfel'd-Sokolov $\mathcal{W}$ algebra of type $\mathcal{c}_2$ in terms of the generic principle $\mathcal{W}$ algebra of type $\mathfrak{c}_2$ and a one-dimensional isotropic lattice vertex algebra.

6.502571

7.301948

8.279869

6.267157

7.152377

7.288687

7.032282

7.007793

6.934079

8.14579

6.631255

6.583228

7.114946

6.597524

6.600327

6.414786

6.425611

6.115134

6.262638

6.994318

6.249584

1612.02277

Stefan Prohazka

Eric Bergshoeff, Daniel Grumiller, Stefan Prohazka and Jan Rosseel

Three-dimensional Spin-3 Theories Based on General Kinematical Algebras

32+12 pages, 2 figures; v2: 1 footnote, 4 refs; v3: 1 ref corrected, 1 ref updated

J. High Energ. Phys. (2017) 2017: 114

10.1007/JHEP01(2017)114

null

hep-th gr-qc

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

We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible In\"on\"u--Wigner contraction procedures of the kinematical algebra of spin-3 theory in three dimensional (anti-) de Sitter space-time. We demonstrate how to construct associated actions of Chern--Simons type, directly in the ultra-relativistic case and by suitable algebraic extensions in the non-relativistic case. We show how to give these kinematical algebras an infinite-dimensional lift by imposing suitable boundary conditions in a theory we call "Carroll Gravity", whose asymptotic symmetry algebra turns out to be an infinite-dimensional extension of the Carroll algebra.

[ { "created": "Wed, 7 Dec 2016 15:00:34 GMT", "version": "v1" }, { "created": "Tue, 13 Dec 2016 19:12:39 GMT", "version": "v2" }, { "created": "Thu, 26 Jan 2017 20:16:43 GMT", "version": "v3" } ]

2017-01-30

[ [ "Bergshoeff", "Eric", "" ], [ "Grumiller", "Daniel", "" ], [ "Prohazka", "Stefan", "" ], [ "Rosseel", "Jan", "" ] ]

We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible In\"on\"u--Wigner contraction procedures of the kinematical algebra of spin-3 theory in three dimensional (anti-) de Sitter space-time. We demonstrate how to construct associated actions of Chern--Simons type, directly in the ultra-relativistic case and by suitable algebraic extensions in the non-relativistic case. We show how to give these kinematical algebras an infinite-dimensional lift by imposing suitable boundary conditions in a theory we call "Carroll Gravity", whose asymptotic symmetry algebra turns out to be an infinite-dimensional extension of the Carroll algebra.

7.765182

7.844664

7.573049

6.829585

7.426238

6.961211

7.55566

6.801716

6.649719

8.84236

7.316678

7.247277

7.788522

7.065888

7.004512

7.128016

7.169199

7.116821

7.232255

7.240921

7.187582

hep-th/0304124

Jaume Garriga

Roberto Emparan and Jaume Garriga

A note on accelerating cosmologies from compactifications and S-branes

9 pages, 1 figure. References added

JHEP 0305:028,2003

10.1088/1126-6708/2003/05/028

null

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

null

We give a simple interpretation of the recent solutions for cosmologies with a transient accelerating phase obtained from compactification in hyperbolic manifolds, or from S-brane solutions of string/M-theory. In the four-dimensional picture, these solutions correspond to bouncing the radion field off its exponential potential. Acceleration occurs at the turning point, when the radion stops and the potential energy momentarily dominates. The virtues and limitations of these approaches become quite transparent in this interpretation.

[ { "created": "Sun, 13 Apr 2003 23:30:38 GMT", "version": "v1" }, { "created": "Tue, 22 Apr 2003 13:43:32 GMT", "version": "v2" } ]

2009-11-10

[ [ "Emparan", "Roberto", "" ], [ "Garriga", "Jaume", "" ] ]

We give a simple interpretation of the recent solutions for cosmologies with a transient accelerating phase obtained from compactification in hyperbolic manifolds, or from S-brane solutions of string/M-theory. In the four-dimensional picture, these solutions correspond to bouncing the radion field off its exponential potential. Acceleration occurs at the turning point, when the radion stops and the potential energy momentarily dominates. The virtues and limitations of these approaches become quite transparent in this interpretation.

14.803574

14.598823

14.399056

13.335384

13.170358

13.943283

14.378648

12.210191

13.90873

17.302538

13.151016

13.681754

14.811534

13.730476

13.308393

14.109855

13.313496

13.586774

14.020704

14.409785

13.271486

1507.03918

Knut Bakke

K. Bakke and H. Belich

A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields

To be published in J. Phys. G: Nucl. Part. Phys. arXiv admin note: text overlap with arXiv:1412.5078

J. Phys. G: Nucl. Part. Phys. 42, 095001 (2015)

10.1088/0954-3899/42/9/095001

null

hep-th quant-ph

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

We investigate the arising of an analogue of the Landau quantization from a background of the violation of the Lorentz symmetry established by a time-like 4-vector and a field configuration of crossed electric and magnetic field. We also analyse the effects on this Landau-type system subject to a hard-wall confining potential by showing a particular case where a discrete spectrum of energy can be obtained. Further, we analyse the effects of a linear confining potential on the Landau-type system. We show that a quantum effect characterized by the dependence of the cyclotron frequency on the quantum numbers of the system can arise in this analogue of the Landau system. As an example, we calculate the cyclotron frequency associated with ground state of the system.

[ { "created": "Tue, 14 Jul 2015 16:43:10 GMT", "version": "v1" } ]

2015-07-21

[ [ "Bakke", "K.", "" ], [ "Belich", "H.", "" ] ]

We investigate the arising of an analogue of the Landau quantization from a background of the violation of the Lorentz symmetry established by a time-like 4-vector and a field configuration of crossed electric and magnetic field. We also analyse the effects on this Landau-type system subject to a hard-wall confining potential by showing a particular case where a discrete spectrum of energy can be obtained. Further, we analyse the effects of a linear confining potential on the Landau-type system. We show that a quantum effect characterized by the dependence of the cyclotron frequency on the quantum numbers of the system can arise in this analogue of the Landau system. As an example, we calculate the cyclotron frequency associated with ground state of the system.

10.338074

9.979076

10.603335

9.855279

9.841064

10.290306

10.016881

10.194933

9.584984

11.605324

9.822002

9.929667

10.619791

10.144222

9.893592

10.043678

9.649883

10.133419

9.945053

10.86849

9.997611

1011.0820

Oleg Evnin

Ben Craps and Oleg Evnin

Adiabaticity and emergence of classical space-time in time-dependent matrix theories

18 pages; v2: disclaimers and references added, version for publication

JHEP 1101:130,2011

10.1007/JHEP01(2011)130

null

hep-th

http://creativecommons.org/licenses/by-nc-sa/3.0/

We discuss the low-curvature regime of time-dependent matrix theories proposed to describe non-perturbative quantum gravity in asymptotically plane-wave space-times. The emergence of near-classical space-time in this limit turns out to be closely linked to the adiabaticity of the matrix theory evolution. Supersymmetry restoration at low curvatures, which is crucial for the usual space-time interpretation of matrix theories, becomes an obvious feature of the adiabatic regime.

[ { "created": "Wed, 3 Nov 2010 08:35:10 GMT", "version": "v1" }, { "created": "Mon, 24 Jan 2011 06:54:25 GMT", "version": "v2" } ]

2011-02-03

[ [ "Craps", "Ben", "" ], [ "Evnin", "Oleg", "" ] ]

We discuss the low-curvature regime of time-dependent matrix theories proposed to describe non-perturbative quantum gravity in asymptotically plane-wave space-times. The emergence of near-classical space-time in this limit turns out to be closely linked to the adiabaticity of the matrix theory evolution. Supersymmetry restoration at low curvatures, which is crucial for the usual space-time interpretation of matrix theories, becomes an obvious feature of the adiabatic regime.

9.9544

10.08848

10.506652

9.703211

9.832276

10.0795

11.352285

9.341571

9.42423

10.72015

9.090025

9.394443

9.725976

9.161965

8.955268

9.515913

9.813302

9.427904

9.282711

10.064277

9.010286

1302.6365

Julien Serreau

Nonperturbative infrared enhancement of nonGaussian correlators in de Sitter space

7 pages, 5 figures. Material added. To appear in Phys. Lett. B

null

10.1016/j.physletb.2013.12.004

null

hep-th gr-qc hep-ph nucl-th

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

We compute the four-point correlation function of a light O(N) scalar field in de Sitter space in the large-N limit. For superhorizon momentum modes, infrared effects strongly enhance the size of loop contributions. We find that in the deep infrared limit, the latter are of the same order as the tree-level one. The tree-level momentum structure, characteristic of a contact term, gets renormalized by a factor of order unity. In addition loop contributions give rise to a new momentum structure, characteristic of an exchange diagram, corresponding to the exchange of an effective composite scalar degree of freedom.

[ { "created": "Tue, 26 Feb 2013 09:09:06 GMT", "version": "v1" }, { "created": "Mon, 9 Dec 2013 22:08:48 GMT", "version": "v2" } ]

2015-06-15

[ [ "Serreau", "Julien", "" ] ]

We compute the four-point correlation function of a light O(N) scalar field in de Sitter space in the large-N limit. For superhorizon momentum modes, infrared effects strongly enhance the size of loop contributions. We find that in the deep infrared limit, the latter are of the same order as the tree-level one. The tree-level momentum structure, characteristic of a contact term, gets renormalized by a factor of order unity. In addition loop contributions give rise to a new momentum structure, characteristic of an exchange diagram, corresponding to the exchange of an effective composite scalar degree of freedom.

9.061456

8.119275

9.120149

8.182995

8.875797

8.549582

8.914595

8.385429

8.459716

9.875368

8.105083

8.759708

9.278945

8.957249

8.926334

8.877873

8.537421

8.915098

8.475711

8.82055

8.801974

1805.03345

Peng-Cheng Li

Bin Chen, Peng-Cheng Li and Cheng-Yong Zhang

Einstein-Gauss-Bonnet Black Rings at Large $D$

37 pages,10 figures

null

10.1007/JHEP07(2018)067

null

hep-th gr-qc

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

We study the black ring solution in the Einstein-Gauss-Bonnet (EGB) theory at large $D$. By using the $1/D$ expansion in the near horizon region we derive the effective equations for the slowly rotating black holes in the EGB theory. The effective equations describe the non-linear dynamics of various stationary solutions, including the EGB black ring, the slowly rotating EGB black hole and the slowly boosted EGB black string. By different embeddings we construct these stationary solutions explicitly. By performing the perturbation analysis of the effective equations, we obtain the quasinormal modes of the EGB black ring. We find that thin EGB black ring becomes unstable against non-axisymmetric perturbation.Furthermore, we numerically evolve the effective equations in a particular case to study the final state of the instability, and find that the thin black ring becomes the stable non-uniformblack ring at late time, which gives a relative strong evidence to support the conjecture given in [arXiv:1510.02200].

[ { "created": "Wed, 9 May 2018 01:44:34 GMT", "version": "v1" } ]

2018-08-01

[ [ "Chen", "Bin", "" ], [ "Li", "Peng-Cheng", "" ], [ "Zhang", "Cheng-Yong", "" ] ]

We study the black ring solution in the Einstein-Gauss-Bonnet (EGB) theory at large $D$. By using the $1/D$ expansion in the near horizon region we derive the effective equations for the slowly rotating black holes in the EGB theory. The effective equations describe the non-linear dynamics of various stationary solutions, including the EGB black ring, the slowly rotating EGB black hole and the slowly boosted EGB black string. By different embeddings we construct these stationary solutions explicitly. By performing the perturbation analysis of the effective equations, we obtain the quasinormal modes of the EGB black ring. We find that thin EGB black ring becomes unstable against non-axisymmetric perturbation.Furthermore, we numerically evolve the effective equations in a particular case to study the final state of the instability, and find that the thin black ring becomes the stable non-uniformblack ring at late time, which gives a relative strong evidence to support the conjecture given in [arXiv:1510.02200].

7.784377

6.538443

7.387774

6.956927

7.25287

7.265739

7.036409

6.579066

6.743096

7.85882

7.366498

7.124008

7.294933

7.277128

7.092673

7.134991

7.078287

7.177385

7.054309

7.46733

7.236279

hep-th/0510033

Joe Polchinski

Joseph Polchinski

Open Heterotic Strings

15 pages. v.2: typos, references corrected

JHEP 0609:082,2006

10.1088/1126-6708/2006/09/082

null

hep-th

null

We classify potential cosmic strings according to the topological charge measurable outside the string core. We conjecture that in string theory it is this charge that governs the stability of long strings. This would imply that the SO(32) heterotic string can have endpoints, but not the E_8 x E_8 heterotic string. We give various arguments in support of this conclusion.

[ { "created": "Tue, 4 Oct 2005 19:10:11 GMT", "version": "v1" }, { "created": "Fri, 7 Oct 2005 21:55:45 GMT", "version": "v2" } ]

2009-11-11

[ [ "Polchinski", "Joseph", "" ] ]

We classify potential cosmic strings according to the topological charge measurable outside the string core. We conjecture that in string theory it is this charge that governs the stability of long strings. This would imply that the SO(32) heterotic string can have endpoints, but not the E_8 x E_8 heterotic string. We give various arguments in support of this conclusion.

10.437371

9.998382

10.601922

9.819331

10.514556

9.980169

9.322145

9.335888

9.103615

10.0316

9.77897

9.864593

10.08483

9.721209

9.829938

10.05522

10.009558

9.350016

9.893198

9.876896

9.751228

hep-th/0309267

Leszek Hadasz

Leszek Hadasz and Zbigniew Jaskolski

Classical Liouville action on the sphere with three hyperbolic singularities

14 pages, 2 eps figures

Nucl.Phys. B694 (2004) 493-508

10.1016/j.nuclphysb.2004.03.012

null

hep-th

null

The classical solution to the Liouville equation in the case of three hyperbolic singularities of its energy-momentum tensor is derived and analyzed. The recently proposed classical Liouville action is explicitly calculated in this case. The result agrees with the classical limit of the three point function in the DOZZ solution of the quantum Liouville theory.

[ { "created": "Tue, 30 Sep 2003 13:29:18 GMT", "version": "v1" } ]

2010-04-05

[ [ "Hadasz", "Leszek", "" ], [ "Jaskolski", "Zbigniew", "" ] ]

The classical solution to the Liouville equation in the case of three hyperbolic singularities of its energy-momentum tensor is derived and analyzed. The recently proposed classical Liouville action is explicitly calculated in this case. The result agrees with the classical limit of the three point function in the DOZZ solution of the quantum Liouville theory.

9.125101

7.862255

9.984708

8.338128

7.238183

7.122319

7.981764

8.75481

7.568051

10.989791

7.55552

7.924528

8.493697

8.027258

7.737857

8.084285

7.632001

8.021497

8.051999

8.700692

8.108848

1012.2351

Vishnu Jejjala

Vishnu Jejjala, Sanjaye Ramgoolam, Diego Rodriguez-Gomez

Toric CFTs, Permutation Triples, and Belyi Pairs

64 pages, 16 figures, LaTeX; version 2: minor typo corrections, slight editing of text; version 3: minor typo corrections, version published in JHEP

JHEP 1103:065,2011

10.1007/JHEP03(2011)065

QMUL-PH-10-16

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

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

Four-dimensional CFTs dual to branes transverse to toric Calabi-Yau threefolds have been described by bipartite graphs on a torus (dimer models). We use the theory of dessins d'enfants to describe these in terms of triples of permutations which multiply to one. These permutations yield an elegant description of zig-zag paths, which have appeared in characterizing the toroidal dimers that lead to consistent SCFTs. The dessins are also related to Belyi pairs, consisting of a curve equipped with a map to P^1, branched over three points on the P^1. We construct explicit examples of Belyi pairs associated to some CFTs, including C^3 and the conifold. Permutation symmetries of the superpotential are related to the geometry of the Belyi pair. The Artin braid group action and a variation thereof play an interesting role. We make a conjecture relating the complex structure of the Belyi curve to R-charges in the conformal field theory.

[ { "created": "Fri, 10 Dec 2010 19:09:44 GMT", "version": "v1" }, { "created": "Fri, 7 Jan 2011 18:35:03 GMT", "version": "v2" }, { "created": "Fri, 25 Mar 2011 10:32:25 GMT", "version": "v3" } ]

2015-03-17

[ [ "Jejjala", "Vishnu", "" ], [ "Ramgoolam", "Sanjaye", "" ], [ "Rodriguez-Gomez", "Diego", "" ] ]

Four-dimensional CFTs dual to branes transverse to toric Calabi-Yau threefolds have been described by bipartite graphs on a torus (dimer models). We use the theory of dessins d'enfants to describe these in terms of triples of permutations which multiply to one. These permutations yield an elegant description of zig-zag paths, which have appeared in characterizing the toroidal dimers that lead to consistent SCFTs. The dessins are also related to Belyi pairs, consisting of a curve equipped with a map to P^1, branched over three points on the P^1. We construct explicit examples of Belyi pairs associated to some CFTs, including C^3 and the conifold. Permutation symmetries of the superpotential are related to the geometry of the Belyi pair. The Artin braid group action and a variation thereof play an interesting role. We make a conjecture relating the complex structure of the Belyi curve to R-charges in the conformal field theory.

9.083311

8.357865

10.476041

8.192495

8.482011

8.555354

9.15618

8.359454

8.376296

11.863231

8.264703

8.143342

8.927533

8.203447

8.535677

8.194242

8.16307

8.236152

8.251832

8.367025

8.033326

hep-th/0612270

Pietro Menotti

Non invariant zeta-function regularization in quantum Liouville theory

10 pages, LaTex

Phys.Lett.B650:432-439,2007

10.1016/j.physletb.2007.05.053

IFUP-TH/2006-41

hep-th

null

We consider two possible zeta-function regularization schemes of quantum Liouville theory. One refers to the Laplace-Beltrami operator covariant under conformal transformations, the other to the naive non invariant operator. The first produces an invariant regularization which however does not give rise to a theory invariant under the full conformal group. The other is equivalent to the regularization proposed by Zamolodchikov and Zamolodchikov and gives rise to a theory invariant under the full conformal group.

[ { "created": "Tue, 26 Dec 2006 15:10:38 GMT", "version": "v1" } ]

2008-11-26

[ [ "Menotti", "Pietro", "" ] ]

We consider two possible zeta-function regularization schemes of quantum Liouville theory. One refers to the Laplace-Beltrami operator covariant under conformal transformations, the other to the naive non invariant operator. The first produces an invariant regularization which however does not give rise to a theory invariant under the full conformal group. The other is equivalent to the regularization proposed by Zamolodchikov and Zamolodchikov and gives rise to a theory invariant under the full conformal group.

6.729975

6.194981

7.248885

6.076812

6.597604

6.875643

7.143918

6.605484

6.520106

6.584097

6.261281

6.368183

6.536412

6.216355

6.505476

6.546901

6.297721

6.338328

6.261453

6.370028

6.305646

2211.13176

Nishant Gupta

Nishant Gupta and Nemani V. Suryanarayana

A Chiral ${\Lambda}$-$\mathfrak{bms}_4$ Symmetry of AdS$_4$ Gravity

34 pages. The title has been changed to reflect better the content of the paper. The manuscript has been revised to add the section on the derivation of $\mathcal{W}$-algebra from AdS$_4$ gravity. Elaborated introduction. References added

null

hep-th math-ph math.MP

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

Generalising the chiral boundary conditions of $\mathbb{R}^{1,3}$ gravity for AdS$_4$ gravity, we derive chiral locally AdS$_4$ solutions in the Newman-Unti gauge consistent with a variational principle whose asymptotic symmetry algebra we show, to be an infinite-dimensional chiral extension of $\mathfrak{so}(2,3)$. This symmetry algebra coincides with the chiral $\mathfrak{bms}_4$ algebra in the flat space limit. We posit this symmetry algebra as the chiral version of recently discovered $\Lambda$-$\mathfrak{bms}_4$ algebra. We postulate line integral charges from the bulk AdS$_4$ gravity corresponding to this chiral symmetry algebra and show that the charges obey the semi-classical limit of a $\mathcal{W}$-algebra that includes a level $\kappa$ Kac-Moody $\mathfrak{sl}(2,\mathbb{R})$ current algebra. Furthermore, using the standard tools of $2d$ CFT, we derive the quantum version of this $\mathcal{W}$-algebra which may be denoted by $\mathcal{W}(2;(3/2)^2,1^3)$.

[ { "created": "Wed, 23 Nov 2022 17:54:06 GMT", "version": "v1" }, { "created": "Tue, 23 Apr 2024 17:00:07 GMT", "version": "v2" } ]

2024-04-24

[ [ "Gupta", "Nishant", "" ], [ "Suryanarayana", "Nemani V.", "" ] ]

Generalising the chiral boundary conditions of $\mathbb{R}^{1,3}$ gravity for AdS$_4$ gravity, we derive chiral locally AdS$_4$ solutions in the Newman-Unti gauge consistent with a variational principle whose asymptotic symmetry algebra we show, to be an infinite-dimensional chiral extension of $\mathfrak{so}(2,3)$. This symmetry algebra coincides with the chiral $\mathfrak{bms}_4$ algebra in the flat space limit. We posit this symmetry algebra as the chiral version of recently discovered $\Lambda$-$\mathfrak{bms}_4$ algebra. We postulate line integral charges from the bulk AdS$_4$ gravity corresponding to this chiral symmetry algebra and show that the charges obey the semi-classical limit of a $\mathcal{W}$-algebra that includes a level $\kappa$ Kac-Moody $\mathfrak{sl}(2,\mathbb{R})$ current algebra. Furthermore, using the standard tools of $2d$ CFT, we derive the quantum version of this $\mathcal{W}$-algebra which may be denoted by $\mathcal{W}(2;(3/2)^2,1^3)$.

6.810036

6.141944

6.611516

6.18001

6.127115

6.384438

6.268113

6.39954

6.091162

6.669265

6.192317

6.354012

6.378219

6.270356

6.263161

5.992417

6.268481

6.218049

6.349537

6.273403

6.099336

1609.02470

Xiang-Qian Li

Spacetime quantization effects on 5-dimensional black string evaporation

16 pages, 2 figures

null

hep-th

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

Spacetime quantization predicts the existence of minimal length and time-interval. Within 5-dimensional Schwarzschild-like black string background, the tunneling of scalar particles, fermions and massive bosons are first studied together in the same generalized uncertainty principle framework. It is found that, the minimal length and time-interval effect weakens the original Hawking radiation. To $\mathcal{O}(\frac{1}{M_f^2})$, the corrected temperatures depend on not only the mass of black string, but also the mass and angular momentum of emitted particles. The temperature correction for massive bosons is four times as big as that for scalar particles and fermions. As a result, the bosons cease to tunnel from the black string before the scalar particles and fermions do. The evaporation remnant is expected in our analysis, however it should be verified by full quantum gravity theory.

[ { "created": "Thu, 8 Sep 2016 15:40:27 GMT", "version": "v1" } ]

2016-09-09

[ [ "Li", "Xiang-Qian", "" ] ]

Spacetime quantization predicts the existence of minimal length and time-interval. Within 5-dimensional Schwarzschild-like black string background, the tunneling of scalar particles, fermions and massive bosons are first studied together in the same generalized uncertainty principle framework. It is found that, the minimal length and time-interval effect weakens the original Hawking radiation. To $\mathcal{O}(\frac{1}{M_f^2})$, the corrected temperatures depend on not only the mass of black string, but also the mass and angular momentum of emitted particles. The temperature correction for massive bosons is four times as big as that for scalar particles and fermions. As a result, the bosons cease to tunnel from the black string before the scalar particles and fermions do. The evaporation remnant is expected in our analysis, however it should be verified by full quantum gravity theory.

9.759228

8.888212

8.349279

7.901466

9.079877

8.996416

8.926041

8.217898

8.529316

8.487676

8.345635

8.84423

8.809208

8.531322

8.634893

8.478297

8.954734

8.420186

8.746417

8.64523

8.950435

hep-th/0312268

Edi Halyo

Cosmic D--term Strings as Wrapped D3 Branes

13 pages in phyzzx.tex; eq. (17) corrected, other minor corrections; v3: more minor corrections

JHEP 0403 (2004) 047

10.1088/1126-6708/2004/03/047

null

hep-th

null

We describe cosmic D--term strings as D3 branes wrapped on a resolved conifold. The matter content that gives rise to D--term strings is shown to describe the world--volume theory of a space--filling D3 brane transverse to the conifold which itself is a wrapped D5 brane. We show that, in this brane theory, the tension of the wrapped D3 brane mathces that of the D--term string. We argue that there is a new type of cosmic string which arises from fractional D1 branes on the world--volume of a fractional D3 brane.

[ { "created": "Mon, 22 Dec 2003 20:59:08 GMT", "version": "v1" }, { "created": "Fri, 16 Jan 2004 18:30:35 GMT", "version": "v2" }, { "created": "Tue, 17 Feb 2004 19:01:12 GMT", "version": "v3" } ]

2009-11-10

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

We describe cosmic D--term strings as D3 branes wrapped on a resolved conifold. The matter content that gives rise to D--term strings is shown to describe the world--volume theory of a space--filling D3 brane transverse to the conifold which itself is a wrapped D5 brane. We show that, in this brane theory, the tension of the wrapped D3 brane mathces that of the D--term string. We argue that there is a new type of cosmic string which arises from fractional D1 branes on the world--volume of a fractional D3 brane.

8.759064

8.39045

8.507358

7.017307

8.153326

7.007675

7.386481

6.999189

6.773036

8.654273

6.959041

7.789594

7.9898

7.581929

7.865514

7.868952

7.621538

7.402945

7.385461

7.595723

7.665552

hep-th/0112028

Jaume Garriga

Jaume Garriga and Takahiro Tanaka

Cosmological perturbations in the 5D Big Bang

7 pages

Phys.Rev.D65:103506,2002

10.1103/PhysRevD.65.103506

null

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

null

Bucher [Bucher2001] has recently proposed an interesting brane-world cosmological scenario where the ``Big Bang'' hypersurface is the locus of collision of two vacuum bubbles which nucleate in a five dimensional flat space. This gives rise to an open universe, where the curvature can be very small provided that $d/R_0$ is sufficiently large. Here, d is the distance between bubbles and $R_0$ is their size at the time of nucleation. Quantum fluctuations develop on the bubbles as they expand towards each other, and these in turn imprint cosmological perturbations on the initial hypersurface. We present a simple formalism for calculating the spectrum of such perturbations and their subsequent evolution. We conclude that, unfortunately, the spectrum is very tilted, with spectral index $n_s=3$. The amplitude of fluctuations at horizon crossing is given by $<(\delta \rho/\rho)^2> \sim (R_0/d)^2 S_E^{-1} k^2$, where $S_E\gg 1$ is the Euclidean action of the instanton describing the nucleation of a bubble and k is the wavenumber in units of the curvature scale. The spectrum peaks on the smallest possible relevant scale, whose wave-number is given by $k\sim d/R_0$. We comment on the possible extension of our formalism to more general situations where a Big Bang is ignited through the collision of 4D extended objects.

[ { "created": "Tue, 4 Dec 2001 19:25:42 GMT", "version": "v1" } ]

2008-11-26

[ [ "Garriga", "Jaume", "" ], [ "Tanaka", "Takahiro", "" ] ]

Bucher [Bucher2001] has recently proposed an interesting brane-world cosmological scenario where the ``Big Bang'' hypersurface is the locus of collision of two vacuum bubbles which nucleate in a five dimensional flat space. This gives rise to an open universe, where the curvature can be very small provided that $d/R_0$ is sufficiently large. Here, d is the distance between bubbles and $R_0$ is their size at the time of nucleation. Quantum fluctuations develop on the bubbles as they expand towards each other, and these in turn imprint cosmological perturbations on the initial hypersurface. We present a simple formalism for calculating the spectrum of such perturbations and their subsequent evolution. We conclude that, unfortunately, the spectrum is very tilted, with spectral index $n_s=3$. The amplitude of fluctuations at horizon crossing is given by $<(\delta \rho/\rho)^2> \sim (R_0/d)^2 S_E^{-1} k^2$, where $S_E\gg 1$ is the Euclidean action of the instanton describing the nucleation of a bubble and k is the wavenumber in units of the curvature scale. The spectrum peaks on the smallest possible relevant scale, whose wave-number is given by $k\sim d/R_0$. We comment on the possible extension of our formalism to more general situations where a Big Bang is ignited through the collision of 4D extended objects.

7.249605

7.622364

7.009886

7.082918

7.520501

7.32057

7.881927

7.314582

7.204898

7.586185

7.010392

6.773572

6.961341

6.783063

6.666648

6.873288

6.749292

6.84358

6.873374

7.092092

6.773545

hep-th/0102129

Peter Schupp

Branislav Jurco, Peter Schupp, Julius Wess

Nonabelian noncommutative gauge theory via noncommutative extra dimensions

38 pages, 1 figure; v2: references added

Nucl.Phys. B604 (2001) 148-180

10.1016/S0550-3213(01)00191-2

null

hep-th

null

The concept of covariant coordinates on noncommutative spaces leads directly to gauge theories with generalized noncommutative gauge fields of the type that arises in string theory with background B-fields. The theory is naturally expressed in terms of cochains in an appropriate cohomology; we discuss how it fits into the framework of projective modules. The equivalence of star products that arise from the background field with and without fluctuations and Kontsevich's formality theorem allow an explicitly construction of a map that relates ordinary gauge theory and noncommutative gauge theory (Seiberg-Witten map.) As application we show the exact equality of the Dirac-Born-Infeld action with B-field in the commutative setting and its semi-noncommutative cousin in the intermediate picture. Using noncommutative extra dimensions the construction is extended to noncommutative nonabelian gauge theory for arbitrary gauge groups; an explicit map between abelian and nonabelian gauge fields is given. All constructions are also valid for non-constant B-field, Poisson structure and metric.

[ { "created": "Tue, 20 Feb 2001 15:21:16 GMT", "version": "v1" }, { "created": "Wed, 28 Feb 2001 20:33:19 GMT", "version": "v2" } ]

2009-11-07

[ [ "Jurco", "Branislav", "" ], [ "Schupp", "Peter", "" ], [ "Wess", "Julius", "" ] ]

The concept of covariant coordinates on noncommutative spaces leads directly to gauge theories with generalized noncommutative gauge fields of the type that arises in string theory with background B-fields. The theory is naturally expressed in terms of cochains in an appropriate cohomology; we discuss how it fits into the framework of projective modules. The equivalence of star products that arise from the background field with and without fluctuations and Kontsevich's formality theorem allow an explicitly construction of a map that relates ordinary gauge theory and noncommutative gauge theory (Seiberg-Witten map.) As application we show the exact equality of the Dirac-Born-Infeld action with B-field in the commutative setting and its semi-noncommutative cousin in the intermediate picture. Using noncommutative extra dimensions the construction is extended to noncommutative nonabelian gauge theory for arbitrary gauge groups; an explicit map between abelian and nonabelian gauge fields is given. All constructions are also valid for non-constant B-field, Poisson structure and metric.

8.793062

9.700819

12.014712

9.017088

9.927658

9.226681

9.519626

9.066923

9.242797

11.511522

9.090826

8.883041

9.828248

9.233886

9.271

9.069879

8.891903

9.107475

9.230494

10.186187

8.982621

2205.12832

Ruben Mkrtchyan

M.Y. Avetisyan and R.L. Mkrtchyan

On refined Chern-Simons / topological string duality for classical gauge groups

Latex, 20 pages, analysis of the constant maps added

null

10.1007/JHEP11(2022)097

null

hep-th math-ph math.MP

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

We present the partition function of the refined Chern-Simons theory on $S^3$ with arbitrary A,B,C,D gauge algebra in terms of multiple sine functions. For B and C cases this representation is novel. It allows us to conjecture duality to some refined and orientifolded versions of the topological string on the resolved conifold, and carry out the detailed identification of different contributions. The free energies for D and C algebras possess the usual halved contribution from the A theory, i.e. orientable surfaces, and contributions of non-orientable surfaces with one cross-cup, with opposite signs, similar as for the non-refined theories. However, in the refined case, both theories possess in addition a non-zero contribution of orientable surfaces with two cross-cups. In particular, we observe a trebling of the K\"ahler parameter, in the sense of a refinement and world-sheet (i.e. the number of cross-cups) dependent quantum shift. For B algebra the contribution of Klein bottles is zero, as is the case in the non-refined theory, and the one-cross-cup terms differ from the D and C cases. For the (refined) constant maps terms of these theories we suggest a modular-invariant representation, which leads to natural topological string interpretation. We also calculate some non-perturbative corrections.

[ { "created": "Wed, 25 May 2022 15:00:50 GMT", "version": "v1" }, { "created": "Tue, 12 Jul 2022 20:33:59 GMT", "version": "v2" } ]

2022-11-30

[ [ "Avetisyan", "M. Y.", "" ], [ "Mkrtchyan", "R. L.", "" ] ]

We present the partition function of the refined Chern-Simons theory on $S^3$ with arbitrary A,B,C,D gauge algebra in terms of multiple sine functions. For B and C cases this representation is novel. It allows us to conjecture duality to some refined and orientifolded versions of the topological string on the resolved conifold, and carry out the detailed identification of different contributions. The free energies for D and C algebras possess the usual halved contribution from the A theory, i.e. orientable surfaces, and contributions of non-orientable surfaces with one cross-cup, with opposite signs, similar as for the non-refined theories. However, in the refined case, both theories possess in addition a non-zero contribution of orientable surfaces with two cross-cups. In particular, we observe a trebling of the K\"ahler parameter, in the sense of a refinement and world-sheet (i.e. the number of cross-cups) dependent quantum shift. For B algebra the contribution of Klein bottles is zero, as is the case in the non-refined theory, and the one-cross-cup terms differ from the D and C cases. For the (refined) constant maps terms of these theories we suggest a modular-invariant representation, which leads to natural topological string interpretation. We also calculate some non-perturbative corrections.

12.808945

14.012825

15.371932

13.481439

14.232015

13.639121

13.973101

13.364546

13.030972

16.75246

12.569445

12.382832

13.301243

12.309901

12.708687

12.720354

12.876099

12.447615

12.578484

13.274172

12.076035

hep-th/0510134

Oswaldo Zapata

Oswaldo Zapata (Rome U., Tor Vergata & INFN, Rome2)

Strings on AdS_3 x S^3 and the Plane-Wave Limit. Issues on PP-Wave/CFT Holography

Based on PhD Thesis

null

ROM2F/2005/22

hep-th

null

In this thesis we give explicit results for bosonic string amplitudes on AdS_3 x S^3 and the corresponding plane-wave limit. We also analyze the consequences of our approach for understanding holography in this set up, as well as its possible generalization to other models.

[ { "created": "Mon, 17 Oct 2005 12:12:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zapata", "Oswaldo", "", "Rome U., Tor Vergata & INFN, Rome2" ] ]

In this thesis we give explicit results for bosonic string amplitudes on AdS_3 x S^3 and the corresponding plane-wave limit. We also analyze the consequences of our approach for understanding holography in this set up, as well as its possible generalization to other models.

10.901728

8.858442

11.308547

8.55308

8.408082

9.050038

8.847576

8.716042

8.476658

12.628181

8.650919

9.146464

10.215904

8.856405

8.867744

8.782214

8.86412

8.860713

8.786912

10.515281

8.921158

hep-th/0410077

Freddy Cachazo

Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes

36 pages, minor corrections

null

hep-th

null

We show how the holomorphic anomaly found in hep-th/0409245 can be used to efficiently compute certain classes of unitarity cuts of one-loop N=4 amplitudes of gluons. These classes include all cuts of n-gluon one-loop MHV amplitudes and of n-gluon next-to-MHV amplitudes with helicities (1+,2+,3+,4-,..., n-). As an application of this method, we present the explicit computation of the (1,2,3)-cut of the n-gluon one-loop N=4 leading-color amplitude A_{n;1}(1+,2+,3+,4-,..., n-). The answer is given in terms of scalar box functions and provides information about the corresponding amplitudes. A possible way to generalize this method to all kinds of unitarity cuts is also discussed.

[ { "created": "Thu, 7 Oct 2004 18:20:28 GMT", "version": "v1" }, { "created": "Wed, 13 Oct 2004 15:44:07 GMT", "version": "v2" } ]

2007-05-23

[ [ "Cachazo", "Freddy", "" ] ]

We show how the holomorphic anomaly found in hep-th/0409245 can be used to efficiently compute certain classes of unitarity cuts of one-loop N=4 amplitudes of gluons. These classes include all cuts of n-gluon one-loop MHV amplitudes and of n-gluon next-to-MHV amplitudes with helicities (1+,2+,3+,4-,..., n-). As an application of this method, we present the explicit computation of the (1,2,3)-cut of the n-gluon one-loop N=4 leading-color amplitude A_{n;1}(1+,2+,3+,4-,..., n-). The answer is given in terms of scalar box functions and provides information about the corresponding amplitudes. A possible way to generalize this method to all kinds of unitarity cuts is also discussed.

6.32663

6.3761

6.642426

5.408178

6.211686

6.025697

6.198299

5.502489

5.666063

6.602662

5.82254

5.866729

6.183198

5.84498

6.010896

5.626602

5.817524

6.030679

5.822301

6.113579

5.917801

0901.3543

Adalto Gomes

C. A. S. Almeida, M. M. Ferreira Jr., A. R. Gomes, R. Casana

Fermion localization and resonances on two-field thick branes

24 pages, 11 figures. Revised and extended version. Included 2 more sections; added 10 references

Phys.Rev.D79:125022,2009

10.1103/PhysRevD.79.125022

null

hep-th

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

We consider $(4,1)$-dimensional branes constructed with two scalar fields $\phi$ and $\chi$ coupled to a Dirac spinor field by means of a general Yukawa coupling. The equation of motion for the coefficients of the chiral decomposition of the spinor in curved spacetime leads to a Sch\"odinger-like equation whose solutions allow to obtain the masses of the fermionic modes. The simplest Yukawa coupling $\bar\Psi\phi\chi\Psi$ is considered for the Bloch brane model and fermion localization is studied. We found resonances for both chiralities and related their appearance to branes with internal structure.

[ { "created": "Thu, 22 Jan 2009 19:36:10 GMT", "version": "v1" }, { "created": "Sun, 5 Jul 2009 00:06:29 GMT", "version": "v2" } ]

2009-07-09

[ [ "Almeida", "C. A. S.", "" ], [ "Ferreira", "M. M.", "Jr." ], [ "Gomes", "A. R.", "" ], [ "Casana", "R.", "" ] ]

We consider $(4,1)$-dimensional branes constructed with two scalar fields $\phi$ and $\chi$ coupled to a Dirac spinor field by means of a general Yukawa coupling. The equation of motion for the coefficients of the chiral decomposition of the spinor in curved spacetime leads to a Sch\"odinger-like equation whose solutions allow to obtain the masses of the fermionic modes. The simplest Yukawa coupling $\bar\Psi\phi\chi\Psi$ is considered for the Bloch brane model and fermion localization is studied. We found resonances for both chiralities and related their appearance to branes with internal structure.

10.579771

9.114951

9.738152

8.913607

8.957569

9.014092

9.00249

8.908215

9.149362

10.937239

8.780659

9.142153

9.155838

9.281266

9.4613

9.131836

9.338578

9.475149

9.527645

8.761662

9.206787

2104.14555

Joseph Tooby-Smith

B C Allanach, Ben Gripaios, Joseph Tooby-Smith

Floccinaucinihilipilification: Semisimple extensions of the Standard Model gauge algebra

13 pages. v3: Minor corrections due to a coding error in the lists of maximal and minimal algebras; references added

Phys. Rev. D 104, 035035 (2021)

10.1103/PhysRevD.104.035035

null

hep-th hep-ph

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

We show how one may classify all semisimple algebras containing the $\mathfrak{su}(3)\oplus \mathfrak{su}(2) \oplus \mathfrak{u}(1)$ symmetry of the Standard Model and acting on some given matter sector, enabling theories beyond the Standard Model with unification (partial or total) of symmetries (gauge or global) to be catalogued. With just a single generation of Standard Model fermions plus a singlet neutrino, the only {gauge} symmetries correspond to the well-known algebras $\mathfrak{su}(5),\mathfrak{so}(10),$ and $\mathfrak{su}(4)\oplus \mathfrak{su}(2) \oplus \mathfrak{su}(2)$, but with two or more generations a limited number of exotic symmetries mixing flavour, colour, and electroweak degrees of freedom become possible. We provide a complete catalogue in the case of 3 generations or fewer and outline how our method generalizes to cases with additional matter.

[ { "created": "Thu, 29 Apr 2021 17:59:05 GMT", "version": "v1" }, { "created": "Wed, 14 Jul 2021 06:34:30 GMT", "version": "v2" }, { "created": "Fri, 17 Jun 2022 13:34:46 GMT", "version": "v3" } ]

2022-06-20

[ [ "Allanach", "B C", "" ], [ "Gripaios", "Ben", "" ], [ "Tooby-Smith", "Joseph", "" ] ]

We show how one may classify all semisimple algebras containing the $\mathfrak{su}(3)\oplus \mathfrak{su}(2) \oplus \mathfrak{u}(1)$ symmetry of the Standard Model and acting on some given matter sector, enabling theories beyond the Standard Model with unification (partial or total) of symmetries (gauge or global) to be catalogued. With just a single generation of Standard Model fermions plus a singlet neutrino, the only {gauge} symmetries correspond to the well-known algebras $\mathfrak{su}(5),\mathfrak{so}(10),$ and $\mathfrak{su}(4)\oplus \mathfrak{su}(2) \oplus \mathfrak{su}(2)$, but with two or more generations a limited number of exotic symmetries mixing flavour, colour, and electroweak degrees of freedom become possible. We provide a complete catalogue in the case of 3 generations or fewer and outline how our method generalizes to cases with additional matter.

5.88446

6.156201

6.040637

5.570311

5.919575

5.847656

6.014277

5.638824

5.655924

5.790739

5.795795

5.642393

5.670917

5.694793

5.526013

5.632123

5.544975

5.603188

5.565238

5.676472

5.549834

hep-th/0002238

Christian Ekstrand

C. Ekstrand

A Geometrical Description of the Consistent and Covariant Chiral Anomaly

12 pages

Phys.Lett. B485 (2000) 193-201

10.1016/S0370-2693(00)00616-X

null

hep-th

null

A geometrical interpretation of the consistent and covariant chiral anomaly is done in the space-time respective Hamiltonian framework.

[ { "created": "Mon, 28 Feb 2000 16:11:55 GMT", "version": "v1" } ]

2009-10-31

[ [ "Ekstrand", "C.", "" ] ]

A geometrical interpretation of the consistent and covariant chiral anomaly is done in the space-time respective Hamiltonian framework.

43.577923

22.133354

30.640867

23.445091

24.432299

22.864948

28.897911

26.290577

24.396622

34.720875

27.464523

25.918276

29.836746

25.593489

24.196823

26.122988

23.805109

28.040092

26.508461

29.521791

28.121523

1701.01447

Shahar Hod

Analytic treatment of the excited instability spectra of the magnetically charged SU(2) Reissner-Nordstr\"om black holes

7 pages

Journal of High Energy Physics 03, 072 (2017)

null

hep-th astro-ph.HE gr-qc

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

The magnetically charged SU(2) Reissner-Nordstr\"om black-hole solutions of the coupled nonlinear Einstein-Yang-Mills field equations are known to be characterized by infinite spectra of unstable (imaginary) resonances $\{\omega_n(r_+,r_-)\}_{n=0}^{n=\infty}$ (here $r_{\pm}$ are the black-hole horizon radii). Based on direct {\it numerical} computations of the black-hole instability spectra, it has recently been observed that the excited instability eigenvalues of the magnetically charged black holes exhibit a simple universal behavior. In particular, it was shown that the numerically computed instability eigenvalues of the magnetically charged black holes are characterized by the small frequency universal relation $\omega_n(r_+-r_-)=\lambda_n$, where $\{\lambda_n\}$ are dimensionless constants which are independent of the black-hole parameters. In the present paper we study analytically the instability spectra of the magnetically charged SU(2) Reissner-Nordstr\"om black holes. In particular, we provide a rigorous {\it analytical} proof for the {\it numerically}-suggested universal behavior $\omega_n(r_+-r_-)=\lambda_n$ in the small frequency $\omega_n r_+\ll (r_+-r_-)/r_+$ regime. Interestingly, it is shown that the excited black-hole resonances are characterized by the simple universal relation $\omega_{n+1}/\omega_n=e^{-2\pi/\sqrt{3}}$. Finally, we confirm our analytical results for the black-hole instability spectra with numerical computations.

[ { "created": "Thu, 5 Jan 2017 19:00:11 GMT", "version": "v1" } ]

2017-03-21

[ [ "Hod", "Shahar", "" ] ]

The magnetically charged SU(2) Reissner-Nordstr\"om black-hole solutions of the coupled nonlinear Einstein-Yang-Mills field equations are known to be characterized by infinite spectra of unstable (imaginary) resonances $\{\omega_n(r_+,r_-)\}_{n=0}^{n=\infty}$ (here $r_{\pm}$ are the black-hole horizon radii). Based on direct {\it numerical} computations of the black-hole instability spectra, it has recently been observed that the excited instability eigenvalues of the magnetically charged black holes exhibit a simple universal behavior. In particular, it was shown that the numerically computed instability eigenvalues of the magnetically charged black holes are characterized by the small frequency universal relation $\omega_n(r_+-r_-)=\lambda_n$, where $\{\lambda_n\}$ are dimensionless constants which are independent of the black-hole parameters. In the present paper we study analytically the instability spectra of the magnetically charged SU(2) Reissner-Nordstr\"om black holes. In particular, we provide a rigorous {\it analytical} proof for the {\it numerically}-suggested universal behavior $\omega_n(r_+-r_-)=\lambda_n$ in the small frequency $\omega_n r_+\ll (r_+-r_-)/r_+$ regime. Interestingly, it is shown that the excited black-hole resonances are characterized by the simple universal relation $\omega_{n+1}/\omega_n=e^{-2\pi/\sqrt{3}}$. Finally, we confirm our analytical results for the black-hole instability spectra with numerical computations.

4.830584

5.144783

4.35705

4.397558

4.80363

4.609108

5.153267

4.568956

4.944563

4.708411

4.81324

4.747123

4.5808

4.655068

4.669912

4.754018

4.689663

4.522922

4.651719

4.630633

4.636431

hep-th/0703128

Saurav Samanta

Rabin Banerjee, Pradip Mukherjee and Saurav Samanta

Lie algebraic Noncommutative Gravity

LaTex, 17 pages, a concluding paragraph has been added in section 4, accepted in Phys. Rev. D

Phys.Rev.D75:125020,2007

10.1103/PhysRevD.75.125020

null

hep-th

null

We exploit the Seiberg -- Witten map technique to formulate the theory of gravity defined on a Lie algebraic noncommutative space time. Detailed expressions of the Seiberg -- Witten maps for the gauge parameters, gauge potentials and the field strengths have been worked out. Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.

[ { "created": "Wed, 14 Mar 2007 11:47:43 GMT", "version": "v1" }, { "created": "Mon, 19 Mar 2007 05:44:11 GMT", "version": "v2" }, { "created": "Tue, 5 Jun 2007 16:10:21 GMT", "version": "v3" } ]

2008-11-26

[ [ "Banerjee", "Rabin", "" ], [ "Mukherjee", "Pradip", "" ], [ "Samanta", "Saurav", "" ] ]

We exploit the Seiberg -- Witten map technique to formulate the theory of gravity defined on a Lie algebraic noncommutative space time. Detailed expressions of the Seiberg -- Witten maps for the gauge parameters, gauge potentials and the field strengths have been worked out. Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.

13.454775

10.590697

13.187978

10.743467

12.343822

11.266973

10.950542

10.492025

11.009987

12.551773

10.64043

11.334257

11.672886

11.080605

11.012237

11.582243

11.877087

11.494894

11.663709

12.161469

11.253239

hep-th/9710042

Christoph Adam

C. Adam

Consistent and covariant commutator anomalies in the chiral Schwinger model

Latex file, 19 pages, no figures

Annals Phys. 265 (1998) 198-218

10.1006/aphy.1997.5769

MIT-CTP-2662

hep-th

null

We derive all covariant and consistent divergence and commutator anomalies of chiral QED$_2$ within the framework of canonical quantization of the fermions. Further, we compute the time evolution of all occurring operators and find that all commutators evolve canonically. We comment on the relation of our results to the finding of a nontrivial U(1)-curvature in gauge-field space.

[ { "created": "Mon, 6 Oct 1997 00:01:27 GMT", "version": "v1" } ]

2009-10-30

[ [ "Adam", "C.", "" ] ]

We derive all covariant and consistent divergence and commutator anomalies of chiral QED$_2$ within the framework of canonical quantization of the fermions. Further, we compute the time evolution of all occurring operators and find that all commutators evolve canonically. We comment on the relation of our results to the finding of a nontrivial U(1)-curvature in gauge-field space.

15.59879

14.928082

16.646061

15.389791

16.331369

14.934288

16.770283

14.221711

14.470402

17.229828

14.464134

14.639159

14.361271

14.172994

14.441132

14.783645

14.467491

14.242545

14.405722

15.209961

13.876852

hep-th/0702150

Atish Dabholkar

Atish Dabholkar, Davide Gaiotto, Suresh Nampuri

Comments on the Spectrum of CHL Dyons

23 pages, 3 figures

JHEP0801:023,2008

10.1088/1126-6708/2008/01/023

null

hep-th

null

We address a number of puzzles relating to the proposed formulae for the degeneracies of dyons in orbifold compactifications of the heterotic string to four dimensions with $N =4$ supersymmetry. The partition function for these dyons is given in terms of Siegel modular forms associated with genus-two Riemann surfaces. We point out a subtlety in demonstrating S-duality invariance of the resulting degeneracies and give a prescription that makes the invariance manifest. We show, using M-theory lift of string webs, that the genus-two contribution captures the degeneracy only if a specific irreducibility criterion is satisfied by the charges. Otherwise, in general there can be additional contributions from higher genus Riemann surfaces. We analyze the negative discriminant states predicted by the formula. We show that even though there are no big black holes in supergravity corresponding to these states, there are multi-centered particle-like configurations with subleading entropy in agreement with the microscopic prediction and our prescription for S-duality invariance. The existence of the states is moduli dependent and we exhibit the curves of marginal stability and comment on its relation to S-duality invariance.

[ { "created": "Mon, 19 Feb 2007 20:52:35 GMT", "version": "v1" } ]

2008-11-26

[ [ "Dabholkar", "Atish", "" ], [ "Gaiotto", "Davide", "" ], [ "Nampuri", "Suresh", "" ] ]

We address a number of puzzles relating to the proposed formulae for the degeneracies of dyons in orbifold compactifications of the heterotic string to four dimensions with $N =4$ supersymmetry. The partition function for these dyons is given in terms of Siegel modular forms associated with genus-two Riemann surfaces. We point out a subtlety in demonstrating S-duality invariance of the resulting degeneracies and give a prescription that makes the invariance manifest. We show, using M-theory lift of string webs, that the genus-two contribution captures the degeneracy only if a specific irreducibility criterion is satisfied by the charges. Otherwise, in general there can be additional contributions from higher genus Riemann surfaces. We analyze the negative discriminant states predicted by the formula. We show that even though there are no big black holes in supergravity corresponding to these states, there are multi-centered particle-like configurations with subleading entropy in agreement with the microscopic prediction and our prescription for S-duality invariance. The existence of the states is moduli dependent and we exhibit the curves of marginal stability and comment on its relation to S-duality invariance.

9.361815

9.532083

10.912798

9.08979

9.267401

9.244707

9.262546

8.829185

8.747939

11.296364

9.069026

8.774804

9.824579

9.100935

9.076593

9.101988

9.070979

9.034803

9.092791

9.880394

8.970034

1603.09542

Shigefumi Naka

Kenichi Aouda, Shigefumi Naka, and Haruki Toyoda

Bi-Local Fields in AdS${}_5$ Spacetime

19pages,5 figures

null

10.1007/JHEP10(2016)090

null

hep-th

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

Recently, the bi-local fields attract the interest in studying the duality between $O(N)$ vector model and a higher-spin gauge theory in AdS spacetime. In those theories, the bi-local fields are realized as collective one's of the $O(N)$ vector fields, which are the source of higher-spin bulk fields. Historically, the bi-local fields are introduced as a candidate of non-local fields by Yukawa. Today, Yukawa's bi-local fields are understood from a viewpoint of relativistic two-particle bound systems, the bi-local systems. We study the relation between the bi-local collective fields out of higher-spin bulk fields and the fields out of the bi-local systems embedded in AdS${}_5$ spacetime with warped metric. It is shown that the effective spring constant of the bi-local system depends on the brane, on which the bi-local system is located. In particular, a bi-local system with vanishing spring constant, which is similar to the bi-local collective fields, can be realized on a low-energy IR brane.

[ { "created": "Thu, 31 Mar 2016 11:53:18 GMT", "version": "v1" }, { "created": "Fri, 8 Apr 2016 06:50:48 GMT", "version": "v2" }, { "created": "Sat, 30 Apr 2016 09:17:48 GMT", "version": "v3" }, { "created": "Fri, 26 Aug 2016 07:08:47 GMT", "version": "v4" } ]

2016-11-23

[ [ "Aouda", "Kenichi", "" ], [ "Naka", "Shigefumi", "" ], [ "Toyoda", "Haruki", "" ] ]

Recently, the bi-local fields attract the interest in studying the duality between $O(N)$ vector model and a higher-spin gauge theory in AdS spacetime. In those theories, the bi-local fields are realized as collective one's of the $O(N)$ vector fields, which are the source of higher-spin bulk fields. Historically, the bi-local fields are introduced as a candidate of non-local fields by Yukawa. Today, Yukawa's bi-local fields are understood from a viewpoint of relativistic two-particle bound systems, the bi-local systems. We study the relation between the bi-local collective fields out of higher-spin bulk fields and the fields out of the bi-local systems embedded in AdS${}_5$ spacetime with warped metric. It is shown that the effective spring constant of the bi-local system depends on the brane, on which the bi-local system is located. In particular, a bi-local system with vanishing spring constant, which is similar to the bi-local collective fields, can be realized on a low-energy IR brane.

9.386836

8.618011

9.362021

8.711784

8.757418

8.64307

8.730222

8.241978

8.529434

9.408987

8.789312

8.65181

8.766644

8.648485

8.834482

8.985235

8.681078

8.489809

8.783876

9.338649

8.645696

2011.08194

Christian Ecker

Jorge Casalderrey-Solana, Christian Ecker, David Mateos, Wilke van der Schee

Strong-coupling dynamics and entanglement in de Sitter space

45 pages, 13 figures, comments welcome

null

10.1007/JHEP03(2021)181

null

hep-th gr-qc

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

We use holography to study the dynamics of a strongly-coupled gauge theory in four-dimensional de Sitter space with Hubble rate $H$. The gauge theory is non-conformal with a characteristic mass scale $M$. We solve Einstein's equations numerically and determine the time evolution of homogeneous gauge theory states. If their initial energy density is high compared with $H^4$ then the early-time evolution is well described by viscous hydrodynamics with a non-zero bulk viscosity. At late times the dynamics is always far from equilibrium. The asymptotic late-time state preserves the full de Sitter symmetry group and its dual geometry is a domain-wall in AdS$_5$. The approach to this state is characterised by an emergent relation of the form $\mathcal{P}=w\,\mathcal{E}$ that is different from the equilibrium equation of state in flat space. The constant $w$ does not depend on the initial conditions but only on $H/M$ and is negative if the ratio $H/M$ is close to unity. The event and the apparent horizons of the late-time solution do not coincide with one another, reflecting its non-equilibrium nature. In between them lies an "entanglement horizon" that cannot be penetrated by extremal surfaces anchored at the boundary, which we use to compute the entanglement entropy of boundary regions. If the entangling region equals the observable universe then the extremal surface coincides with a bulk cosmological horizon that just touches the event horizon, while for larger regions the extremal surface probes behind the event horizon.

[ { "created": "Mon, 16 Nov 2020 19:00:01 GMT", "version": "v1" } ]

2021-04-07

[ [ "Casalderrey-Solana", "Jorge", "" ], [ "Ecker", "Christian", "" ], [ "Mateos", "David", "" ], [ "van der Schee", "Wilke", "" ] ]

We use holography to study the dynamics of a strongly-coupled gauge theory in four-dimensional de Sitter space with Hubble rate $H$. The gauge theory is non-conformal with a characteristic mass scale $M$. We solve Einstein's equations numerically and determine the time evolution of homogeneous gauge theory states. If their initial energy density is high compared with $H^4$ then the early-time evolution is well described by viscous hydrodynamics with a non-zero bulk viscosity. At late times the dynamics is always far from equilibrium. The asymptotic late-time state preserves the full de Sitter symmetry group and its dual geometry is a domain-wall in AdS$_5$. The approach to this state is characterised by an emergent relation of the form $\mathcal{P}=w\,\mathcal{E}$ that is different from the equilibrium equation of state in flat space. The constant $w$ does not depend on the initial conditions but only on $H/M$ and is negative if the ratio $H/M$ is close to unity. The event and the apparent horizons of the late-time solution do not coincide with one another, reflecting its non-equilibrium nature. In between them lies an "entanglement horizon" that cannot be penetrated by extremal surfaces anchored at the boundary, which we use to compute the entanglement entropy of boundary regions. If the entangling region equals the observable universe then the extremal surface coincides with a bulk cosmological horizon that just touches the event horizon, while for larger regions the extremal surface probes behind the event horizon.

7.145841

7.454525

8.020914

6.973868

7.118203

7.028494

6.82608

6.864228

6.844322

8.35053

6.792358

6.90995

7.20083

6.815453

7.081817

6.958083

7.300175

7.067273

6.893401

7.322165

6.955442

1504.03046

Jae-Hyuk Oh

Jae-hyuk Oh

Stochastic quantization and holographic Wilsonian renormalization group of scalar theories with arbitrary mass

1+18 pages, a new section is added, typo corrected

Phys. Rev. D 94, 105020 (2016)

10.1103/PhysRevD.94.105020

null

hep-th

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

We have studied a mathematical relationship between holographic Wilsonian renormalization group(HWRG) and stochastic quantization(SQ) of scalar field with arbitrary mass in AdS spacetime. In the stochastic theory, the field is described by an equation with a form of harmonic oscillator with time dependent frequency and its Euclidean action also shows explicit time dependent kernel in it. We have obtained the stochastic 2-point correlation function and demonstrate that it reproduces the radial evolution of the double trace operator correctly via the suggested relation given in arXiv:1209.2242. Moreover, we justify our stochastic procedure with time dependent kernel by showing that it can be mapped to a new stochastic frame with a standard kernel without time dependence. Finally, we consider more general boundary conditions for the stochastic field to reproduce the radial evolution of the holographic boundary effective action when alternative quantization is allowed. We extensively study the Neumann boundary condition case and confirm that even in this case, the relation between HWRG and SQ is precisely hold.

[ { "created": "Mon, 13 Apr 2015 02:04:07 GMT", "version": "v1" }, { "created": "Mon, 26 Oct 2015 12:43:55 GMT", "version": "v2" } ]

2016-11-30

[ [ "Oh", "Jae-hyuk", "" ] ]

We have studied a mathematical relationship between holographic Wilsonian renormalization group(HWRG) and stochastic quantization(SQ) of scalar field with arbitrary mass in AdS spacetime. In the stochastic theory, the field is described by an equation with a form of harmonic oscillator with time dependent frequency and its Euclidean action also shows explicit time dependent kernel in it. We have obtained the stochastic 2-point correlation function and demonstrate that it reproduces the radial evolution of the double trace operator correctly via the suggested relation given in arXiv:1209.2242. Moreover, we justify our stochastic procedure with time dependent kernel by showing that it can be mapped to a new stochastic frame with a standard kernel without time dependence. Finally, we consider more general boundary conditions for the stochastic field to reproduce the radial evolution of the holographic boundary effective action when alternative quantization is allowed. We extensively study the Neumann boundary condition case and confirm that even in this case, the relation between HWRG and SQ is precisely hold.

15.394451

13.005601

15.728166

13.198449

14.711653

13.840255

15.007813

13.374692

13.263676

17.982786

13.371188

13.817572

14.799804

13.834191

14.199654

14.166744

14.334186

13.83747

13.647099

15.063345

14.298303

0809.0082

Antonio Capolupo Dr

M.Blasone, A.Capolupo, S.Capozziello, G.Vitiello

A new perspective in the dark energy puzzle from particle mixing phenomenon

11 pages, to be published on the review book "Dark Energy-Current Advances and Ideas"

null

hep-th

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

We report on recent results on particle mixing and oscillations in quantum field theory. We discuss the role played in cosmology by the vacuum condensate induced by the neutrino mixing phenomenon. We show that it can contribute to the dark energy of the universe.

[ { "created": "Sat, 30 Aug 2008 18:48:39 GMT", "version": "v1" } ]

2008-09-02

[ [ "Blasone", "M.", "" ], [ "Capolupo", "A.", "" ], [ "Capozziello", "S.", "" ], [ "Vitiello", "G.", "" ] ]

We report on recent results on particle mixing and oscillations in quantum field theory. We discuss the role played in cosmology by the vacuum condensate induced by the neutrino mixing phenomenon. We show that it can contribute to the dark energy of the universe.

9.368463

6.575641

8.211176

6.96698

7.608851

6.919159

6.83529

7.151487

7.328306

8.202913

7.464451

8.867051

8.477551

8.092536

8.55845

8.508394

8.243573

8.549767

8.255505

8.333342

8.518933

hep-th/0306165

Sergei Gukov

Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial

67 pages, 13 figures, harvmac

Commun.Math.Phys.255:577-627,2005

10.1007/s00220-005-1312-y

HUTP-03/A003, ITEP-TH-50/02

hep-th gr-qc math.GT math.QA

null

We study three-dimensional Chern-Simons theory with complex gauge group SL(2,C), which has many interesting connections with three-dimensional quantum gravity and geometry of hyperbolic 3-manifolds. We show that, in the presence of a single knotted Wilson loop in an infinite-dimensional representation of the gauge group, the classical and quantum properties of such theory are described by an algebraic curve called the A-polynomial of a knot. Using this approach, we find some new and rather surprising relations between the A-polynomial, the colored Jones polynomial, and other invariants of hyperbolic 3-manifolds. These relations generalize the volume conjecture and the Melvin-Morton-Rozansky conjecture, and suggest an intriguing connection between the SL(2,C) partition function and the colored Jones polynomial.

[ { "created": "Tue, 17 Jun 2003 20:07:45 GMT", "version": "v1" } ]

2014-11-18

[ [ "Gukov", "Sergei", "" ] ]

We study three-dimensional Chern-Simons theory with complex gauge group SL(2,C), which has many interesting connections with three-dimensional quantum gravity and geometry of hyperbolic 3-manifolds. We show that, in the presence of a single knotted Wilson loop in an infinite-dimensional representation of the gauge group, the classical and quantum properties of such theory are described by an algebraic curve called the A-polynomial of a knot. Using this approach, we find some new and rather surprising relations between the A-polynomial, the colored Jones polynomial, and other invariants of hyperbolic 3-manifolds. These relations generalize the volume conjecture and the Melvin-Morton-Rozansky conjecture, and suggest an intriguing connection between the SL(2,C) partition function and the colored Jones polynomial.

5.076443

5.478903

6.167077

4.834476

5.003755

5.40618

5.507959

4.921475

5.038442

6.065256

5.130959

4.940528

5.233758

4.859748

5.008652

4.994955

5.055261

4.950658

4.743661

5.17538

5.037905

1301.3722

Frank Ferrari

On Matrix Geometry and Effective Actions

50 pages

null

10.1016/j.nuclphysb.2013.02.005

null

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

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

We provide an elementary systematic discussion of single-trace matrix actions and of the group of matrix reparameterization that acts on them. The action of this group yields a generalized notion of gauge invariance which encompasses ordinary diffeomorphism and gauge invariances. We apply the formalism to non-abelian D-brane actions in arbitrary supergravity backgrounds, providing in particular explicit checks of the consistency of Myers' formulas with supergravity gauge invariances. We also draw interesting consequences for emergent space models based on the study of matrix effective actions. For example, in the case of the AdS_5XS^5 background, we explain how the standard tensor transformation laws of the supergravity fields under ordinary diffeomorphisms emerge from the D-instanton effective action in this background.

[ { "created": "Wed, 16 Jan 2013 15:28:05 GMT", "version": "v1" } ]

2015-06-12

[ [ "Ferrari", "Frank", "" ] ]

We provide an elementary systematic discussion of single-trace matrix actions and of the group of matrix reparameterization that acts on them. The action of this group yields a generalized notion of gauge invariance which encompasses ordinary diffeomorphism and gauge invariances. We apply the formalism to non-abelian D-brane actions in arbitrary supergravity backgrounds, providing in particular explicit checks of the consistency of Myers' formulas with supergravity gauge invariances. We also draw interesting consequences for emergent space models based on the study of matrix effective actions. For example, in the case of the AdS_5XS^5 background, we explain how the standard tensor transformation laws of the supergravity fields under ordinary diffeomorphisms emerge from the D-instanton effective action in this background.

11.635112

11.120788

12.544763

10.890604

12.293072

11.133967

10.937048

10.888592

10.424574

11.518842

10.624399

10.683921

11.694277

10.931777

11.005404

10.815886

10.662271

11.042803

10.77492

11.892989

10.708931

hep-th/0506087

Alberto Santambrogio

Federico Elmetti, Alberto Santambrogio, Daniela Zanon

On {\cal N}=1 exact superpotentials from U(N) matrix models

15 pages, LaTex

JHEP 0510 (2005) 104

10.1088/1126-6708/2005/10/104

Bicocca-FT-05-10, IFUM-834-FT

hep-th

null

In this letter we compute the exact effective superpotential of {\cal N}=1 U(N) supersymmetric gauge theories with N_f fundamental flavors and an arbitrary tree-level polynomial superpotential for the adjoint Higgs field. We use the matrix model approach in the maximally confinig phase. When restricted to the case of a tree-level even polynomial superpotential, our computation reproduces the known result of the SU(N) theory.

[ { "created": "Fri, 10 Jun 2005 15:31:58 GMT", "version": "v1" } ]

2009-11-11

[ [ "Elmetti", "Federico", "" ], [ "Santambrogio", "Alberto", "" ], [ "Zanon", "Daniela", "" ] ]

In this letter we compute the exact effective superpotential of {\cal N}=1 U(N) supersymmetric gauge theories with N_f fundamental flavors and an arbitrary tree-level polynomial superpotential for the adjoint Higgs field. We use the matrix model approach in the maximally confinig phase. When restricted to the case of a tree-level even polynomial superpotential, our computation reproduces the known result of the SU(N) theory.

8.712788

6.509376

9.176608

6.184106

6.780097

6.037583

6.049693

6.28075

6.953269

10.653624

6.370949

7.322138

8.604845

7.511436

7.130174

7.162066

7.115966

7.118535

7.180807

8.352241

7.295508

hep-th/9908117

Wei-Min Zhang

Wei-Min Zhang (NCKU, Taiwan)

Coherent States in Field Theory

33 page, Invited Article for a forthcoming Indian National Science Academy publication

null

hep-th

null

Coherent states have three main properties: coherence, overcompleteness and intrinsic geometrization. These unique properties play fundamental roles in field theory, especially, in the description of classical domains and quantum fluctuations of physical fields, in the calculations of physical processes involving infinite number of virtual particles, in the derivation of functional integrals and various effective field theories, also in the determination of long-range orders and collective excitations, and finally in the exploration of origins of topologically nontrivial gauge fields and associated gauge degrees of freedom.

[ { "created": "Wed, 18 Aug 1999 02:40:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zhang", "Wei-Min", "", "NCKU, Taiwan" ] ]

Coherent states have three main properties: coherence, overcompleteness and intrinsic geometrization. These unique properties play fundamental roles in field theory, especially, in the description of classical domains and quantum fluctuations of physical fields, in the calculations of physical processes involving infinite number of virtual particles, in the derivation of functional integrals and various effective field theories, also in the determination of long-range orders and collective excitations, and finally in the exploration of origins of topologically nontrivial gauge fields and associated gauge degrees of freedom.

15.240118

15.612281

16.087887

15.123512

14.244226

15.947349

16.597918

15.901473

15.131624

17.530336

14.406216

13.882732

14.519676

14.414953

14.447292

14.050796

13.452811

14.090505

13.954304

13.837497

14.069933

hep-th/0403097

Hiroyuki Yoshiguchi

Hiroyuki Yoshiguchi and Kazuya Koyama

Bulk gravitational field and dark radiation on the brane in dilatonic brane world

11 pages

Phys.Rev. D70 (2004) 043513

10.1103/PhysRevD.70.043513

UTAP-478

hep-th

null

We discuss the connection between the dark radiation on the brane and the bulk gravitational field in a dilatonic brane world model proposed by Koyama and Takahashi where the exact solutions for the five dimensional cosmological perturbations can be obtained analytically. It is shown that the dark radiation perturbation is related to the non-normalizable Kaluza-Klein (KK) mode of the bulk perturbations. For the de Sitter brane in the anti-de Sitter bulk, the squared mass of this KK mode is $2 H^2$ where $H$ is the Hubble parameter on the brane. This mode is shown to be connected to the excitation of small black hole in the bulk in the long wavelength limit. The exact solution for an anisotropic stress on the brane induced by this KK mode is found, which plays an important role in the calculation of cosmic microwave background radiation anisotropies in the brane world.

[ { "created": "Tue, 9 Mar 2004 14:06:18 GMT", "version": "v1" } ]

2009-11-10

[ [ "Yoshiguchi", "Hiroyuki", "" ], [ "Koyama", "Kazuya", "" ] ]

We discuss the connection between the dark radiation on the brane and the bulk gravitational field in a dilatonic brane world model proposed by Koyama and Takahashi where the exact solutions for the five dimensional cosmological perturbations can be obtained analytically. It is shown that the dark radiation perturbation is related to the non-normalizable Kaluza-Klein (KK) mode of the bulk perturbations. For the de Sitter brane in the anti-de Sitter bulk, the squared mass of this KK mode is $2 H^2$ where $H$ is the Hubble parameter on the brane. This mode is shown to be connected to the excitation of small black hole in the bulk in the long wavelength limit. The exact solution for an anisotropic stress on the brane induced by this KK mode is found, which plays an important role in the calculation of cosmic microwave background radiation anisotropies in the brane world.

5.501712

5.070689

5.597239

5.321651

5.261324

5.178804

5.185284

5.045305

5.235747

6.040129

4.929456

5.098091

5.266244

5.23329

5.166202

5.206785

5.222817

5.251711

5.486144

5.549668

5.147535

hep-th/0612157

Mohammad Edalati

Philip C. Argyres, Mohammad Edalati, Justin F. Vazquez-Poritz

Spacelike strings and jet quenching from a Wilson loop

38 pages, 6 figures, statements corrected

JHEP 0704:049,2007

10.1088/1126-6708/2007/04/049

hep-th/0612157

hep-th hep-ph

null

We investigate stationary string solutions with spacelike worldsheet in a five-dimensional AdS black hole background, and find that there are many branches of such solutions. Using a non-perturbative definition of the jet quenching parameter proposed by Liu et. al., hep-ph/0605178, we take the lightlike limit of these solutions to evaluate the jet quenching parameter in an N=4 super Yang-Mills thermal bath. We show that this proposed definition gives zero jet quenching parameter, independent of how the lightlike limit is taken. In particular, the minimum-action solution giving the dominant contribution to the Wilson loop has a leading behavior that is linear, rather than quadratic, in the quark separation.

[ { "created": "Fri, 15 Dec 2006 20:40:36 GMT", "version": "v1" }, { "created": "Sun, 17 Dec 2006 20:19:55 GMT", "version": "v2" }, { "created": "Tue, 19 Dec 2006 20:15:12 GMT", "version": "v3" }, { "created": "Wed, 3 Jan 2007 21:40:01 GMT", "version": "v4" } ]

2010-10-27

[ [ "Argyres", "Philip C.", "" ], [ "Edalati", "Mohammad", "" ], [ "Vazquez-Poritz", "Justin F.", "" ] ]

We investigate stationary string solutions with spacelike worldsheet in a five-dimensional AdS black hole background, and find that there are many branches of such solutions. Using a non-perturbative definition of the jet quenching parameter proposed by Liu et. al., hep-ph/0605178, we take the lightlike limit of these solutions to evaluate the jet quenching parameter in an N=4 super Yang-Mills thermal bath. We show that this proposed definition gives zero jet quenching parameter, independent of how the lightlike limit is taken. In particular, the minimum-action solution giving the dominant contribution to the Wilson loop has a leading behavior that is linear, rather than quadratic, in the quark separation.

8.355685

9.581655

9.448504

8.074106

9.197154

9.270788

8.77311

8.847703

8.322826

10.828956

8.454256

8.20916

8.219448

8.126738

8.265268

8.324491

8.364687

8.192226

8.048316

8.588747

8.223269

1705.02685

Krzysztof A. Meissner

Krzysztof A. Meissner and Hermann Nicolai

Conformal Anomaly and Off-Shell Extensions of Gravity

null

Phys. Rev. D 96, 041701 (2017)

10.1103/PhysRevD.96.041701

null

hep-th gr-qc

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

The gauge dependence of the conformal anomaly for spin 3/2 and spin 2 fields in non-conformal supergravities has been a long standing puzzle. In this Letter we argue that the `correct' gauge choice is the one that follows from requiring all terms that would imply a violation of the Wess-Zumino consistency condition to be absent in the counterterm, because otherwise the usual link between the anomaly and the one-loop divergence becomes invalid. Remarkably, the `good' choice of gauge is the one that confirms our previous result that a complete cancellation of conformal anomalies in D=4 can only be achieved for N-extended (Poincar\'e) supergravities with $N\geq 5$.

[ { "created": "Sun, 7 May 2017 19:43:22 GMT", "version": "v1" } ]

2017-08-09

[ [ "Meissner", "Krzysztof A.", "" ], [ "Nicolai", "Hermann", "" ] ]

The gauge dependence of the conformal anomaly for spin 3/2 and spin 2 fields in non-conformal supergravities has been a long standing puzzle. In this Letter we argue that the `correct' gauge choice is the one that follows from requiring all terms that would imply a violation of the Wess-Zumino consistency condition to be absent in the counterterm, because otherwise the usual link between the anomaly and the one-loop divergence becomes invalid. Remarkably, the `good' choice of gauge is the one that confirms our previous result that a complete cancellation of conformal anomalies in D=4 can only be achieved for N-extended (Poincar\'e) supergravities with $N\geq 5$.

8.920482

8.249084

8.756556

8.013867

8.57922

8.365255

8.224719

8.997849

8.152478

9.539753

8.130202

8.129213

8.345082

8.17278

8.500511

8.43154

8.366332

8.136167

8.501221

8.611396

8.365379

0711.1525

Richard Szabo

Mauro Riccardi and Richard J. Szabo

Duality and Braiding in Twisted Quantum Field Theory

35 pages; v2: Typos corrected

JHEP0801:016,2008

10.1088/1126-6708/2008/01/016

HWM-07-42, EMPG-07-22

hep-th

null

We re-examine various issues surrounding the definition of twisted quantum field theories on flat noncommutative spaces. We propose an interpretation based on nonlocal commutative field redefinitions which clarifies previously observed properties such as the formal equivalence of Green's functions in the noncommutative and commutative theories, causality, and the absence of UV/IR mixing. We use these fields to define the functional integral formulation of twisted quantum field theory. We exploit techniques from braided tensor algebra to argue that the twisted Fock space states of these free fields obey conventional statistics. We support our claims with a detailed analysis of the modifications induced in the presence of background magnetic fields, which induces additional twists by magnetic translation operators and alters the effective noncommutative geometry seen by the twisted quantum fields. When two such field theories are dual to one another, we demonstrate that only our braided physical states are covariant under the duality.

[ { "created": "Fri, 9 Nov 2007 19:09:24 GMT", "version": "v1" }, { "created": "Mon, 10 Dec 2007 15:46:53 GMT", "version": "v2" } ]

2008-11-26

[ [ "Riccardi", "Mauro", "" ], [ "Szabo", "Richard J.", "" ] ]

We re-examine various issues surrounding the definition of twisted quantum field theories on flat noncommutative spaces. We propose an interpretation based on nonlocal commutative field redefinitions which clarifies previously observed properties such as the formal equivalence of Green's functions in the noncommutative and commutative theories, causality, and the absence of UV/IR mixing. We use these fields to define the functional integral formulation of twisted quantum field theory. We exploit techniques from braided tensor algebra to argue that the twisted Fock space states of these free fields obey conventional statistics. We support our claims with a detailed analysis of the modifications induced in the presence of background magnetic fields, which induces additional twists by magnetic translation operators and alters the effective noncommutative geometry seen by the twisted quantum fields. When two such field theories are dual to one another, we demonstrate that only our braided physical states are covariant under the duality.

11.147668

11.760058

12.533442

11.451386

11.375531

11.55689

11.473047

11.132725

11.457693

14.123048

10.885536

10.773075

11.890591

11.001561

10.613764

10.707184

10.618145

10.686601

10.836575

11.932644

10.641776

1412.1132

Joao Caetano

Benjamin Basso, Joao Caetano, Lucia Cordova, Amit Sever, Pedro Vieira

OPE for all Helicity Amplitudes

30 pages

null

10.1007/JHEP08(2015)018

null

hep-th

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

We extend the Operator Product Expansion (OPE) for scattering amplitudes in planar N=4 SYM to account for all possible helicities of the external states. This is done by constructing a simple map between helicity configurations and so-called charged pentagon transitions. These OPE building blocks are generalizations of the bosonic pentagons entering MHV amplitudes and they can be bootstrapped at finite coupling from the integrable dynamics of the color flux tube. A byproduct of our map is a simple realization of parity in the super Wilson loop picture.

[ { "created": "Tue, 2 Dec 2014 23:23:32 GMT", "version": "v1" } ]

2015-09-02

[ [ "Basso", "Benjamin", "" ], [ "Caetano", "Joao", "" ], [ "Cordova", "Lucia", "" ], [ "Sever", "Amit", "" ], [ "Vieira", "Pedro", "" ] ]

We extend the Operator Product Expansion (OPE) for scattering amplitudes in planar N=4 SYM to account for all possible helicities of the external states. This is done by constructing a simple map between helicity configurations and so-called charged pentagon transitions. These OPE building blocks are generalizations of the bosonic pentagons entering MHV amplitudes and they can be bootstrapped at finite coupling from the integrable dynamics of the color flux tube. A byproduct of our map is a simple realization of parity in the super Wilson loop picture.

8.336235

8.238494

10.804121

8.102878

9.672745

8.726622

9.140686

8.720137

8.122545

12.528464

8.888723

8.854762

9.445664

8.860358

9.223749

8.83495

8.745538

9.469977

8.895357

8.813518

8.785034

1601.01960

Mikhail Kompaniets

D.V. Batkovich, M.V. Kompaniets, K.G. Chetyrkin

Six loop analytical calculation of the field anomalous dimension and the critical exponent $\eta$ in $O(n)$-symmetric $\varphi^4$ model

16 pages

Nuclear Physics B 906 (2016) 147-167

10.1016/j.nuclphysb.2016.03.009

null

hep-th cond-mat.stat-mech

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

We report on a completely analytical calculation of the field anomalous dimension $\gamma_{\varphi}$ and the critical exponent $\eta$ for the $O(n)$-symmetric $\varphi^4$ model at the record six loop level. We successfully compare our result for $\gamma_{\varphi}$ with $n=1$ with the predictions based on the method of the Borel resummation combined with a conformal mapping. Predictions for seven loop contribution to the field anomalous dimensions are given.

[ { "created": "Fri, 8 Jan 2016 18:03:15 GMT", "version": "v1" }, { "created": "Tue, 15 Mar 2016 14:08:00 GMT", "version": "v2" } ]

2016-03-16

[ [ "Batkovich", "D. V.", "" ], [ "Kompaniets", "M. V.", "" ], [ "Chetyrkin", "K. G.", "" ] ]

We report on a completely analytical calculation of the field anomalous dimension $\gamma_{\varphi}$ and the critical exponent $\eta$ for the $O(n)$-symmetric $\varphi^4$ model at the record six loop level. We successfully compare our result for $\gamma_{\varphi}$ with $n=1$ with the predictions based on the method of the Borel resummation combined with a conformal mapping. Predictions for seven loop contribution to the field anomalous dimensions are given.

6.979908

6.782674

7.081809

6.279642

7.213554

6.652793

6.685591

6.891262

6.334502

6.607159

7.078348

6.498468

6.996625

6.629239

6.546654

6.717655

6.539639

6.764783

6.601464

6.974496

6.532795

hep-th/9608121

Werner Nahm

On the Seiberg-Witten Approach to electric-magnetic Duality

4 pages, plain TeX

null

BONN-TH-96-05

hep-th

null

Electric-magnetic duality allows to calculate the central charges of N=2 supersymmetric theories with massless hypermultiplets as derivatives of simple modular forms. The procedure reproduces the Seiberg-Witten results for N_f=0,2,3 in a uniform way, but indicates open problems for N_f=1.

[ { "created": "Mon, 19 Aug 1996 13:19:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nahm", "Werner", "" ] ]

Electric-magnetic duality allows to calculate the central charges of N=2 supersymmetric theories with massless hypermultiplets as derivatives of simple modular forms. The procedure reproduces the Seiberg-Witten results for N_f=0,2,3 in a uniform way, but indicates open problems for N_f=1.

11.487915

10.674702

11.950063

9.33895

10.877336

10.417376

10.559469

9.766309

9.608599

13.817752

10.285714

9.805809

9.553362

9.551105

9.445437

10.255334

9.178199

9.272353

9.868846

10.17943

9.485024

2105.12030

Alexander Reshetnyak

I.L. Buchbinder and A.A. Reshetnyak

General Cubic Interacting Vertex for Massless Integer Higher Spin Fields

13 pages, minor misprints in formulae (40) corrected

Physics Letters B 820 (2021) 136470

10.1016/j.physletb.2021.136470

null

hep-th math-ph math.MP

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

We consider a massless higher spin field theory within the BRST approach and construct a general off-shell cubic vertex corresponding to irreducible higher spin fields of helicities $s_1, s_2, s_3$. Unlike the previous works on cubic vertices, which do not take into account of the trace constraints, we use the complete BRST operator, including the trace constraints that describe an irreducible representation with definite integer helicity. As a result, we generalize the cubic vertex found in [arXiv:1205.3131 [hep-th]] and calculate the new contributions to the vertex, which contain additional terms with a smaller number space-time derivatives of the fields as well as the terms without derivatives.

[ { "created": "Tue, 25 May 2021 16:05:02 GMT", "version": "v1" }, { "created": "Wed, 26 May 2021 15:52:24 GMT", "version": "v2" }, { "created": "Wed, 7 Jul 2021 13:56:42 GMT", "version": "v3" }, { "created": "Sat, 7 May 2022 21:08:58 GMT", "version": "v4" } ]

2022-05-10

[ [ "Buchbinder", "I. L.", "" ], [ "Reshetnyak", "A. A.", "" ] ]

We consider a massless higher spin field theory within the BRST approach and construct a general off-shell cubic vertex corresponding to irreducible higher spin fields of helicities $s_1, s_2, s_3$. Unlike the previous works on cubic vertices, which do not take into account of the trace constraints, we use the complete BRST operator, including the trace constraints that describe an irreducible representation with definite integer helicity. As a result, we generalize the cubic vertex found in [arXiv:1205.3131 [hep-th]] and calculate the new contributions to the vertex, which contain additional terms with a smaller number space-time derivatives of the fields as well as the terms without derivatives.

9.458564

7.610296

10.859103

8.12266

7.509147

7.382329

7.711608

8.593298

7.803679

10.513124

8.096324

8.625401

9.685121

8.841341

8.559259

8.533415

8.660981

9.06615

8.795971

9.121013

8.366622

1206.5119

Frederik Scholtz

F. G. Scholtz and B. Chakraborty

Spectral triplets, statistical mechanics and emergent geometry in non-commutative quantum mechanics

12 pages, no figures

null

10.1088/1751-8113/46/8/085204

null

hep-th

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

We show that when non-commutative quantum mechanics is formulated on the Hilbert space of Hilbert-Schmidt operators (referred to as quantum Hilbert space) acting on a classical configuration space, spectral triplets as introduced by Connes in the context of non-commutative geometry arise naturally. A distance function as defined by Connes can therefore also be introduced. We proceed to give a simple and general algorithm to compute this function. Using this we compute the distance between pure and mixed states on quantum Hilbert space and demonstrate a tantalizing link between statistics and geometry.

[ { "created": "Fri, 22 Jun 2012 11:41:51 GMT", "version": "v1" }, { "created": "Fri, 12 Oct 2012 07:10:12 GMT", "version": "v2" } ]

2015-06-05

[ [ "Scholtz", "F. G.", "" ], [ "Chakraborty", "B.", "" ] ]

We show that when non-commutative quantum mechanics is formulated on the Hilbert space of Hilbert-Schmidt operators (referred to as quantum Hilbert space) acting on a classical configuration space, spectral triplets as introduced by Connes in the context of non-commutative geometry arise naturally. A distance function as defined by Connes can therefore also be introduced. We proceed to give a simple and general algorithm to compute this function. Using this we compute the distance between pure and mixed states on quantum Hilbert space and demonstrate a tantalizing link between statistics and geometry.

8.618116

8.886743

9.354325

8.357516

9.11974

9.186676

8.53079

8.661018

8.269822

9.800288

8.491418

8.107944

8.618947

8.604412

8.51165

8.495286

8.129855

8.721766

8.173526

8.280654

8.245539

1401.5761

Tim Clunan

S. W. Hawking

Information Preservation and Weather Forecasting for Black Holes

null

hep-th gr-qc

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

It has been suggested [1] that the resolution of the information paradox for evaporating black holes is that the holes are surrounded by firewalls, bolts of outgoing radiation that would destroy any infalling observer. Such firewalls would break the CPT invariance of quantum gravity and seem to be ruled out on other grounds. A different resolution of the paradox is proposed, namely that gravitational collapse produces apparent horizons but no event horizons behind which information is lost. This proposal is supported by ADS-CFT and is the only resolution of the paradox compatible with CPT. The collapse to form a black hole will in general be chaotic and the dual CFT on the boundary of ADS will be turbulent. Thus, like weather forecasting on Earth, information will effectively be lost, although there would be no loss of unitarity.

[ { "created": "Wed, 22 Jan 2014 19:37:14 GMT", "version": "v1" } ]

2014-01-23

[ [ "Hawking", "S. W.", "" ] ]

It has been suggested [1] that the resolution of the information paradox for evaporating black holes is that the holes are surrounded by firewalls, bolts of outgoing radiation that would destroy any infalling observer. Such firewalls would break the CPT invariance of quantum gravity and seem to be ruled out on other grounds. A different resolution of the paradox is proposed, namely that gravitational collapse produces apparent horizons but no event horizons behind which information is lost. This proposal is supported by ADS-CFT and is the only resolution of the paradox compatible with CPT. The collapse to form a black hole will in general be chaotic and the dual CFT on the boundary of ADS will be turbulent. Thus, like weather forecasting on Earth, information will effectively be lost, although there would be no loss of unitarity.

8.400913

8.744373

9.287779

8.302185

8.880949

8.546412

8.516839

9.051976

9.144559

9.545542

8.059285

8.363435

8.561896

8.11449

8.569812

8.0818

8.217057

8.075361

8.535713

8.032717

8.113895

hep-th/0504019

Tatsuo Kobayashi

Tetsutaro Higaki, Noriaki Kitazawa, Tatsuo Kobayashi and Kei-jiro Takahashi

Flavor structure and coupling selection rule from intersecting D-branes

28 pages, latex, 5 figures

Phys.Rev. D72 (2005) 086003

10.1103/PhysRevD.72.086003

null

hep-th hep-ph

null

We study flavor structure and the coupling selection rule in intersecting D-brane configurations. We formulate the selection rule for Yukawa couplings and its extensions to generic n-point couplings. We investigate the possible flavor structure, which can appear from intersecting D-brane configuration, and it is found that their couplings are determined by discrete abelian symmetry. Our studies on the flavor structure and the coupling selection rule show that the minimal matter content of the supersymmetric standard model would have difficulty to derive realistic Yukawa matrices from stringy 3-point couplings at the tree-level. However, extended models have a richer structure, leading to non-trivial mass matrices.

[ { "created": "Mon, 4 Apr 2005 07:05:03 GMT", "version": "v1" } ]

2009-11-11

[ [ "Higaki", "Tetsutaro", "" ], [ "Kitazawa", "Noriaki", "" ], [ "Kobayashi", "Tatsuo", "" ], [ "Takahashi", "Kei-jiro", "" ] ]

We study flavor structure and the coupling selection rule in intersecting D-brane configurations. We formulate the selection rule for Yukawa couplings and its extensions to generic n-point couplings. We investigate the possible flavor structure, which can appear from intersecting D-brane configuration, and it is found that their couplings are determined by discrete abelian symmetry. Our studies on the flavor structure and the coupling selection rule show that the minimal matter content of the supersymmetric standard model would have difficulty to derive realistic Yukawa matrices from stringy 3-point couplings at the tree-level. However, extended models have a richer structure, leading to non-trivial mass matrices.

11.665716

11.473781

11.327069

10.577133

11.143952

11.015164

11.088813

10.261592

10.139399

12.212086

10.456479

10.926788

11.010402

10.763686

10.67468

11.168036

11.197584

10.707371

10.961077

11.062828

10.583042

1005.3546

Nati Seiberg

Daniel Green, Zohar Komargodski, Nathan Seiberg, Yuji Tachikawa, and Brian Wecht

Exactly Marginal Deformations and Global Symmetries

23 pages, 2 figures

JHEP 1006:106,2010

10.1007/JHEP06(2010)106

null

hep-th hep-ph

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

We study the problem of finding exactly marginal deformations of N=1 superconformal field theories in four dimensions. We find that the only way a marginal chiral operator can become not exactly marginal is for it to combine with a conserved current multiplet. Additionally, we find that the space of exactly marginal deformations, also called the "conformal manifold," is the quotient of the space of marginal couplings by the complexified continuous global symmetry group. This fact explains why exactly marginal deformations are ubiquitous in N=1 theories. Our method turns the problem of enumerating exactly marginal operators into a problem in group theory, and substantially extends and simplifies the previous analysis by Leigh and Strassler. We also briefly discuss how to apply our analysis to N=2 theories in three dimensions.

[ { "created": "Wed, 19 May 2010 20:02:46 GMT", "version": "v1" }, { "created": "Tue, 25 May 2010 21:46:19 GMT", "version": "v2" } ]

2014-11-21

[ [ "Green", "Daniel", "" ], [ "Komargodski", "Zohar", "" ], [ "Seiberg", "Nathan", "" ], [ "Tachikawa", "Yuji", "" ], [ "Wecht", "Brian", "" ] ]

We study the problem of finding exactly marginal deformations of N=1 superconformal field theories in four dimensions. We find that the only way a marginal chiral operator can become not exactly marginal is for it to combine with a conserved current multiplet. Additionally, we find that the space of exactly marginal deformations, also called the "conformal manifold," is the quotient of the space of marginal couplings by the complexified continuous global symmetry group. This fact explains why exactly marginal deformations are ubiquitous in N=1 theories. Our method turns the problem of enumerating exactly marginal operators into a problem in group theory, and substantially extends and simplifies the previous analysis by Leigh and Strassler. We also briefly discuss how to apply our analysis to N=2 theories in three dimensions.

7.016835

6.667653

6.812778

6.399952

6.533557

6.509104

6.544188

6.141071

6.388331

7.225689

6.683218

6.38846

6.475193

6.339675

6.3681

6.338385

6.311944

6.374146

6.393674

6.473761

6.384479

1010.4773

Luigi Pilo

Denis Comelli, Fabrizio Nesti, Luigi Pilo

Stars and (Furry) Black Holes in Lorentz Breaking Massive Gravity

22 pages, 4 Figures. Final version to be published in PRD. Typos corrected, comments added

Phys.Rev.D83:084042,2011

10.1103/PhysRevD.83.084042

null

hep-th astro-ph.CO gr-qc

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

We study the exact spherically symmetric solutions in a class of Lorentz-breaking massive gravity theories, using the effective-theory approach where the graviton mass is generated by the interaction with a suitable set of Stuckelberg fields. We find explicitly the exact black hole solutions which generalizes the familiar Schwarzschild one, which shows a non-analytic hair in the form of a power-like term r^\gamma. For realistic self-gravitating bodies, we find interesting features, linked to the effective violation of the Gauss law: i) the total gravitational mass appearing in the standard 1/r term gets a multiplicative renormalization proportional to the area of the body itself; ii) the magnitude of the power-like hairy correction is also linked to size of the body. The novel features can be ascribed to presence of the goldstones fluid turned on by matter inside the body; its equation of state approaching that of dark energy near the center. The goldstones fluid also changes the matter equilibrium pressure, leading to an upper limit for the graviton mass, m <~ 10^-28 - 10^29 eV, derived from the largest stable gravitational bound states in the Universe.

[ { "created": "Fri, 22 Oct 2010 18:46:43 GMT", "version": "v1" }, { "created": "Fri, 29 Apr 2011 11:26:24 GMT", "version": "v2" } ]

2011-05-10

[ [ "Comelli", "Denis", "" ], [ "Nesti", "Fabrizio", "" ], [ "Pilo", "Luigi", "" ] ]

We study the exact spherically symmetric solutions in a class of Lorentz-breaking massive gravity theories, using the effective-theory approach where the graviton mass is generated by the interaction with a suitable set of Stuckelberg fields. We find explicitly the exact black hole solutions which generalizes the familiar Schwarzschild one, which shows a non-analytic hair in the form of a power-like term r^\gamma. For realistic self-gravitating bodies, we find interesting features, linked to the effective violation of the Gauss law: i) the total gravitational mass appearing in the standard 1/r term gets a multiplicative renormalization proportional to the area of the body itself; ii) the magnitude of the power-like hairy correction is also linked to size of the body. The novel features can be ascribed to presence of the goldstones fluid turned on by matter inside the body; its equation of state approaching that of dark energy near the center. The goldstones fluid also changes the matter equilibrium pressure, leading to an upper limit for the graviton mass, m <~ 10^-28 - 10^29 eV, derived from the largest stable gravitational bound states in the Universe.

14.573478

15.030477

13.745334

13.371258

13.783813

14.431215

14.277982

14.023469

14.025435

15.277619

14.105374

14.223199

13.6579

13.390406

14.01486

14.21909

14.136523

13.677537

13.84997

14.033857

13.985933

0903.3526

Cristian Vergu

C. Vergu

Higher point MHV amplitudes in N=4 Supersymmetric Yang-Mills Theory

null

Phys.Rev.D79:125005,2009

10.1103/PhysRevD.79.125005

Brown/HET-1581

hep-th

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

We compute the even part of the two-loop seven-point planar MHV amplitude in N=4 supersymmetric Yang-Mills theory. We find that the even part is expressed in terms of conformal integrals with simple rational coefficients. We also compute the even part of two all-n cuts. An important feature of the result is that no hexagon (or higher polygon) loops appear among the integrals detected by the cuts we computed. We also present a "leg addition rule," which allows us to express some integral coefficients in the n+1-point MHV amplitude in terms of the integral coefficients of the n-point MHV amplitude.

[ { "created": "Fri, 20 Mar 2009 13:57:20 GMT", "version": "v1" }, { "created": "Thu, 16 Apr 2009 18:23:32 GMT", "version": "v2" } ]

2009-06-30

[ [ "Vergu", "C.", "" ] ]

We compute the even part of the two-loop seven-point planar MHV amplitude in N=4 supersymmetric Yang-Mills theory. We find that the even part is expressed in terms of conformal integrals with simple rational coefficients. We also compute the even part of two all-n cuts. An important feature of the result is that no hexagon (or higher polygon) loops appear among the integrals detected by the cuts we computed. We also present a "leg addition rule," which allows us to express some integral coefficients in the n+1-point MHV amplitude in terms of the integral coefficients of the n-point MHV amplitude.

10.257686

10.908805

11.448808

9.755184

9.767512

10.330623

10.877948

9.325765

9.147452

12.449332

9.788036

9.58736

10.317369

9.753868

9.723541

9.786753

9.948312

9.40217

10.643803

10.217705

9.46551

1807.08359

Fernando M\'endez

H. Falomir, J. Gamboa and F. Mendez

Classical Noncommutative Bicosmology Model

4 pages

null

hep-th

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

We propose a bicosmology model which is the classical analog of noncommutative quantum mechanics. From this point of view the sources of the modified FRW equations are dark energy ones governed by a Chapligyn's equation state. The parameters of noncommutativity $\theta$ and $B$ are interpreted in terms of the Planck area and a like-magnetic field, presumably the magnetic seed of magnetogenesis.

[ { "created": "Sun, 22 Jul 2018 20:20:02 GMT", "version": "v1" } ]

2018-07-24

[ [ "Falomir", "H.", "" ], [ "Gamboa", "J.", "" ], [ "Mendez", "F.", "" ] ]

We propose a bicosmology model which is the classical analog of noncommutative quantum mechanics. From this point of view the sources of the modified FRW equations are dark energy ones governed by a Chapligyn's equation state. The parameters of noncommutativity $\theta$ and $B$ are interpreted in terms of the Planck area and a like-magnetic field, presumably the magnetic seed of magnetogenesis.

20.192347

25.052124

23.354197

19.16824

22.703808

20.060402

22.677059

18.32197

24.760036

23.085258

22.317539

20.706699

20.532072

19.148155

19.552242

19.615856

19.854677

18.527092

19.22172

20.094883

20.129076

hep-th/9709031

Peter Orland

Maxime Kudinov, Enrique Moreno and Peter Orland

Potential Topography and Mass Generation

15 pages, latex2e, three figures, uses plenum.sty Invited talk by P. Orland at the NATO Advanced Workshop, ``New Developments in Quantum Field Theory", Zakopane, Poland, June 14-19, 1997, proceedings to be published by Plenum Press

null

BCUNY-HEP-1-97

hep-th

null

We describe an approach to understanding exponential decay of correlation functions in asymptotically free theories. This approach is systematic; it does not start from any conjectured mechanism or picture. We begin by studying the metric on the space of configurations and the behavior of the potential-energy function on this space. We describe how these ideas fit in the framework of QCD, as discussed earlier by one of us (P.O.). We then consider the 1+1-dimensional O(2) and O(3) nonlinear sigma models and show that no gap exists in the former at weak coupling. In the O(3) model a new kind of strong/weak-coupling duality is realized. We briefly outline our proposals for understanding the spectrum.

[ { "created": "Wed, 3 Sep 1997 19:41:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kudinov", "Maxime", "" ], [ "Moreno", "Enrique", "" ], [ "Orland", "Peter", "" ] ]

We describe an approach to understanding exponential decay of correlation functions in asymptotically free theories. This approach is systematic; it does not start from any conjectured mechanism or picture. We begin by studying the metric on the space of configurations and the behavior of the potential-energy function on this space. We describe how these ideas fit in the framework of QCD, as discussed earlier by one of us (P.O.). We then consider the 1+1-dimensional O(2) and O(3) nonlinear sigma models and show that no gap exists in the former at weak coupling. In the O(3) model a new kind of strong/weak-coupling duality is realized. We briefly outline our proposals for understanding the spectrum.

12.029732

12.233495

12.192183

11.458508

12.631403

11.983953

11.871813

12.506428

11.341799

13.79852

11.659579

11.314885

11.646588

11.326744

11.068366

11.524844

11.400375

11.226907

11.527554

11.950724

11.261688

1210.0164

Wenfeng Chen WFC

Wenfeng Chen

Chern-Simons Spinor Electrodynamics in the Light-Cone Gauge

29 pages, no fugures, RevTex

null

10.1103/PhysRevD.86.125012

null

hep-th

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

The one-loop quantum corrections of Chern-Simons spinor electrodynamics in the light-cone gauge has been investigated. We have calculated the vacuum polarization tensor, fermionic self-energy and on-shell vertex correction with a hybrid regularization consisting of a higher covariant derivative regularization and dimensional continuation. The Mandelstam-Leibbrandt prescription is used to handle the spurious light-cone singularity in the gauge field propagator. We then perform the finite renormalization to define the quantum theory. The generation of the parity-even Maxwell term and the arising of anomalous magnetic moment from quantum corrections are reproduced as in the case of a covariant gauge choice. The Ward identities in the light-cone gauge are verified to satisfy explicitly. Further, we have found the light-cone vector dependent sector of local quantum effective action for the fermion is explicitly gauge invariant, and hence the covariance of $S$-matrix elements of the theory can be achieved.

[ { "created": "Sun, 30 Sep 2012 01:43:40 GMT", "version": "v1" } ]

2013-05-30

[ [ "Chen", "Wenfeng", "" ] ]

The one-loop quantum corrections of Chern-Simons spinor electrodynamics in the light-cone gauge has been investigated. We have calculated the vacuum polarization tensor, fermionic self-energy and on-shell vertex correction with a hybrid regularization consisting of a higher covariant derivative regularization and dimensional continuation. The Mandelstam-Leibbrandt prescription is used to handle the spurious light-cone singularity in the gauge field propagator. We then perform the finite renormalization to define the quantum theory. The generation of the parity-even Maxwell term and the arising of anomalous magnetic moment from quantum corrections are reproduced as in the case of a covariant gauge choice. The Ward identities in the light-cone gauge are verified to satisfy explicitly. Further, we have found the light-cone vector dependent sector of local quantum effective action for the fermion is explicitly gauge invariant, and hence the covariance of $S$-matrix elements of the theory can be achieved.

10.586492

10.358925

10.749265

9.650568

10.124426

10.269253

10.307742

9.135483

9.789409

11.621826

9.951492

9.946964

10.520492

9.783132

9.547453

9.768188

9.570399

9.751231

9.874099

10.679003

9.691658

1805.11095

Steven B. Giddings

William Donnelly and Steven B. Giddings

Gravitational splitting at first order: Quantum information localization in gravity

6 pages of text + refs. v2: minor corrections

Phys. Rev. D 98, 086006 (2018)

10.1103/PhysRevD.98.086006

null

hep-th gr-qc quant-ph

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

We explore the important fundamental question of how quantum information is localized in quantum gravity, in a perturbative approach. Familiar descriptions of localization of information, such as via tensor factorization of the Hilbert space or a net of commuting subalgebras of operators, conflict with basic gravitational properties -- specifically gauge invariance -- already at leading order in perturbation theory. However, previous work found that information can be classically localized in a region in a way such that measurements, including those of the gravitational field, outside the region are insensitive to that information, and only measure total Poincare charges. This paper shows that, working to leading order in the gravitational coupling, a similar quantum result holds, leading to a definition of a "gravitational splitting" on the Hilbert space for gravity. Such localization of information also argues against a role for "soft hair" in resolving the information problem for black holes. This basic mathematical structure plausibly plays a foundational role in the quantum description of gravity.

[ { "created": "Mon, 28 May 2018 18:00:01 GMT", "version": "v1" }, { "created": "Wed, 26 Sep 2018 13:57:52 GMT", "version": "v2" } ]

2018-10-17

[ [ "Donnelly", "William", "" ], [ "Giddings", "Steven B.", "" ] ]

We explore the important fundamental question of how quantum information is localized in quantum gravity, in a perturbative approach. Familiar descriptions of localization of information, such as via tensor factorization of the Hilbert space or a net of commuting subalgebras of operators, conflict with basic gravitational properties -- specifically gauge invariance -- already at leading order in perturbation theory. However, previous work found that information can be classically localized in a region in a way such that measurements, including those of the gravitational field, outside the region are insensitive to that information, and only measure total Poincare charges. This paper shows that, working to leading order in the gravitational coupling, a similar quantum result holds, leading to a definition of a "gravitational splitting" on the Hilbert space for gravity. Such localization of information also argues against a role for "soft hair" in resolving the information problem for black holes. This basic mathematical structure plausibly plays a foundational role in the quantum description of gravity.

13.861846

12.435699

13.666712

12.417125

12.534352

13.991173

12.794987

13.3068

12.807372

16.100576

12.301223

12.514194

13.436834

12.855209

12.867785

12.558945

12.812429

12.816356

12.607643

13.929082

12.410803

hep-th/0101021

Reinhard Oehme

Superconvergence and Duality

7 pages, latex, for the Encyclopedia of Supersymmetry, Kluver

null

EFI 2000-58

hep-th

null

Superconvergence relations for the transverse gauge field propagator can be used in order to show that the corresponding gauge quanta are not elements of the physical state space, as defined by the BRST algebra. With a given gauge group, these relations are valid for a limited region in the number of matter fields, indicating a phase transition at the boundary. In the case of SUSY gauge theories with matter fields in the fundamental representation, the results predicted by superconvergence can be compared directly with those obtained on the basis of duality and the conformal algebra. There is exact agreement.

[ { "created": "Tue, 2 Jan 2001 21:58:03 GMT", "version": "v1" } ]

2007-05-23

[ [ "Oehme", "Reinhard", "" ] ]

Superconvergence relations for the transverse gauge field propagator can be used in order to show that the corresponding gauge quanta are not elements of the physical state space, as defined by the BRST algebra. With a given gauge group, these relations are valid for a limited region in the number of matter fields, indicating a phase transition at the boundary. In the case of SUSY gauge theories with matter fields in the fundamental representation, the results predicted by superconvergence can be compared directly with those obtained on the basis of duality and the conformal algebra. There is exact agreement.

12.070608

10.97401

11.324147

9.99855

11.232813

11.484104

12.165251

11.385245

11.165455

12.672133

11.093503

10.678167

11.427234

10.746065

11.038458

10.74751

10.715172

11.107817

11.112674

12.276938

11.477504

hep-th/0106167

Satoshi Yamada

Masa-aki Taniguchi, Shozo Uehara, Satoshi Yamada and Koichi Yamawaki

Does DLCQ S-matrix have a covariant continuum limit?

4 pages, 2 figures

Mod.Phys.Lett. A16 (2001) 2177-2185

10.1142/S0217732301005588

null

hep-th hep-ph nucl-th

null

We develop a systematic DLCQ perturbation theory and show that DLCQ S-matrix does not have a covariant continuum limit for processes with $p^+=0$ exchange. This implies that the role of the zero mode is more subtle than ever considered in DLCQ and hence must be treated with great care also in non-perturbative approach. We also make a brief comment on DLCQ in string theory.

[ { "created": "Tue, 19 Jun 2001 06:09:15 GMT", "version": "v1" } ]

2009-11-07

[ [ "Taniguchi", "Masa-aki", "" ], [ "Uehara", "Shozo", "" ], [ "Yamada", "Satoshi", "" ], [ "Yamawaki", "Koichi", "" ] ]

We develop a systematic DLCQ perturbation theory and show that DLCQ S-matrix does not have a covariant continuum limit for processes with $p^+=0$ exchange. This implies that the role of the zero mode is more subtle than ever considered in DLCQ and hence must be treated with great care also in non-perturbative approach. We also make a brief comment on DLCQ in string theory.

14.835719

13.504153

13.107636

12.339543

13.537211

13.364429

13.5811

12.999187

11.926586

13.441314

12.223508

13.172728

13.159192

12.527481

12.810997

12.610153

13.147238

12.896117

12.667101

12.251415

12.756404

hep-th/9811105

Asmita

Asmita Mukherjee and Somdatta Bhattacharya

Elecromagnetic Duality on the Light-Front in the Presence of External Sources

13 pages, revtex, Title and presentation slightly changed, main results unchanged

Int.J.Mod.Phys. A15 (2000) 4739-4748

10.1142/S0217751X00001385

null

hep-th

null

We investigate the issue of electromagnetic duality on the light front. We work with Zwanziger's theory of electric and magnetic sources which is appropriate for treating duality. When quantized on the light-front in the light front gauge, this theory yields two independent phase space degrees of freedom, namely the two transverse field components, the right number to describe the gauge field sector of normal light-front QED and also the appropriate commutator between them. The electromagnetic duality transformation formulated in terms of them is similar in form to the Susskind transformation proposed for the free theory, provided one identifies them as the dynamical field components of the photon on the light-front in the presence of magnetic sources. The Hamiltonian density written in terms of these components is invariant under the duality transformation.

[ { "created": "Thu, 12 Nov 1998 07:56:04 GMT", "version": "v1" }, { "created": "Wed, 6 Oct 1999 05:55:33 GMT", "version": "v2" } ]

2016-12-28

[ [ "Mukherjee", "Asmita", "" ], [ "Bhattacharya", "Somdatta", "" ] ]

We investigate the issue of electromagnetic duality on the light front. We work with Zwanziger's theory of electric and magnetic sources which is appropriate for treating duality. When quantized on the light-front in the light front gauge, this theory yields two independent phase space degrees of freedom, namely the two transverse field components, the right number to describe the gauge field sector of normal light-front QED and also the appropriate commutator between them. The electromagnetic duality transformation formulated in terms of them is similar in form to the Susskind transformation proposed for the free theory, provided one identifies them as the dynamical field components of the photon on the light-front in the presence of magnetic sources. The Hamiltonian density written in terms of these components is invariant under the duality transformation.

13.542083

11.933222

13.695112

11.652393

12.961092

13.298209

12.928757

12.339605

12.087216

14.460314

11.972326

12.182163

12.682029

12.259608

12.318567

12.256624

12.4029

11.985578

11.974205

12.606961

12.342901

hep-th/0208115

Fernando T. C. Brandt

F.T. Brandt, Ashok Das, J. Frenkel

Classical transport equation in non-commutative QED at high temperature

11 pages

Phys.Rev.D66:105012,2002

10.1103/PhysRevD.66.105012

null

hep-th

null

We show that the high temperature behavior of non-commutative QED may be simply obtained from Boltzmann transport equations for classical particles. The transport equation for the charge neutral particle is shown to be characteristically different from that for the charged particle. These equations correctly generate, for arbitrary values of the non-commutative parameter theta, the leading, gauge independent hard thermal loops, arising from the fermion and the gauge sectors. We briefly discuss the generating functional of hard thermal amplitudes.

[ { "created": "Thu, 15 Aug 2002 21:54:41 GMT", "version": "v1" } ]

2008-11-26

[ [ "Brandt", "F. T.", "" ], [ "Das", "Ashok", "" ], [ "Frenkel", "J.", "" ] ]

We show that the high temperature behavior of non-commutative QED may be simply obtained from Boltzmann transport equations for classical particles. The transport equation for the charge neutral particle is shown to be characteristically different from that for the charged particle. These equations correctly generate, for arbitrary values of the non-commutative parameter theta, the leading, gauge independent hard thermal loops, arising from the fermion and the gauge sectors. We briefly discuss the generating functional of hard thermal amplitudes.

14.091059

12.131562

11.374982

10.649427

12.169063

10.640801

10.351686

11.49698

11.038871

13.556688

11.125357

10.974269

11.840524

11.600821

11.379692

11.062217

11.513905

11.251194

11.160515

11.975803

11.35862

0902.3857

Ki-Myeong Lee

Ki-Myeong Lee (KIAS), Sangmin Lee (SNU), Sungjay Lee (KIAS)

Nonrelativistic Superconformal M2-Brane Theory

34 pages, 1 figure, latex, some minor corrections, remarks on flux-charge composite operators, bps bound changed, charge-flux operator reargued

JHEP 0909:030,2009

10.1088/1126-6708/2009/09/030

KIAS-P09009

hep-th

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

We investigate the low energy physics of particles in the symmetric phase of the N=6 mass-deformed ABJM theory in terms of the superconformal nonrelativistic field theory with 14 supercharges. They describe the certain kind of excitations on M2 branes in the background of external four-form flux. We study the nonrelativistic superconformal algebra and their representations by using the operator-state correspondence with the related harmonic oscillator Hamiltonian. We find the unitarity bounds on the scaling dimension and particle number of any local operator, and comment on subtleties in computing the superconformal Witten index that counts the chiral operators.

[ { "created": "Mon, 23 Feb 2009 17:02:57 GMT", "version": "v1" }, { "created": "Tue, 17 Mar 2009 09:06:21 GMT", "version": "v2" }, { "created": "Fri, 5 Jun 2009 08:00:28 GMT", "version": "v3" } ]

2009-09-28

[ [ "Lee", "Ki-Myeong", "", "KIAS" ], [ "Lee", "Sangmin", "", "SNU" ], [ "Lee", "Sungjay", "", "KIAS" ] ]

We investigate the low energy physics of particles in the symmetric phase of the N=6 mass-deformed ABJM theory in terms of the superconformal nonrelativistic field theory with 14 supercharges. They describe the certain kind of excitations on M2 branes in the background of external four-form flux. We study the nonrelativistic superconformal algebra and their representations by using the operator-state correspondence with the related harmonic oscillator Hamiltonian. We find the unitarity bounds on the scaling dimension and particle number of any local operator, and comment on subtleties in computing the superconformal Witten index that counts the chiral operators.

11.277839

11.534247

14.136847

10.797421

11.044597

10.682775

11.46917

10.249514

9.89358

15.243746

10.065896

10.250895

12.485243

10.790648

10.313293

10.770928

11.127136

10.584453

10.89272

12.705581

10.094493

hep-th/9501114

Alex Feingold

Alex J. Feingold, John F. X. Ries, Michael D. Weiner

Spinor construction of the c = 1/2 minimal model

48 pages, amstex, v2.1, uses fonts msam, msbm, no figures, tables constructed using standard TeX, so no special macros required. Final version based on referee's comments, a few technical changes. Style changed from preprint to Contemporary Math Proceedings (conm-p.sty). A compressed dvi file is available via anonymous ftp as follows: ftp://math.binghamton.edu/pub/alex/minimal.dvi.Z A compressed postscript file is also available via anonymous ftp as: ftp://math.binghamton.edu/pub/alex/minimal.ps.Z

null

hep-th math.QA q-alg

null

The usual spinor construction from one fermion yields four irreducible representations of the Virasoro algebra with central charge $c = 1/2$. The Neveu-Schwarz (NS) sector is the direct sum of an $h = 0$ and an $h = 1/2$ module, and the Ramond (R) sector is the direct sum of two copies of an $h = 1/16$ module. In addition to the fundamental fermions, which represent a Clifford algebra, and the Virasoro operators, there are infinitely many other vertex operators, in one-to-one correspondence with the vectors (states) in the NS sector. These give the NS sector the structure of a Vertex Operator SuperAlgebra, and the R sector the structure of a ${\bold Z}_2$-twisted module for that VOSA. Keeping both copies of the $h = 1/16$ modules in the R sector, we can define intertwining operators in one-to-one correspondence with the states in the R sector such that the usual Ising fusion rules for just three modules are replaced by a rule given by the group ${\bold Z}_4$. The main objective is to find a generalization of the VOSA Jacobi-Cauchy identity which is satisfied by these intertwining operators. There are several novel features of this new ``Matrix'' Jacobi-Cauchy Identity (MJCI), most of which come from the fact that correlation functions made from two intertwiners are hypergeometric functions. In order to relate and rationalize the correlation functions we use the Kummer quadratic transformation formulas, lifting the functions to a four-sheeted covering, branched over the usual three poles, where the Cauchy residue theorem can be applied. The six possible poles on the cover give six terms in the MJCI. Furthermore, we organize those functions into $2\times 4$ matrices and find the $2\times 2$ (fusion and braiding) matrices which relate them at the six poles. These results for intertwiners

[ { "created": "Tue, 24 Jan 1995 19:53:04 GMT", "version": "v1" }, { "created": "Thu, 4 May 1995 15:21:56 GMT", "version": "v2" } ]

2008-02-03

[ [ "Feingold", "Alex J.", "" ], [ "Ries", "John F. X.", "" ], [ "Weiner", "Michael D.", "" ] ]

The usual spinor construction from one fermion yields four irreducible representations of the Virasoro algebra with central charge $c = 1/2$. The Neveu-Schwarz (NS) sector is the direct sum of an $h = 0$ and an $h = 1/2$ module, and the Ramond (R) sector is the direct sum of two copies of an $h = 1/16$ module. In addition to the fundamental fermions, which represent a Clifford algebra, and the Virasoro operators, there are infinitely many other vertex operators, in one-to-one correspondence with the vectors (states) in the NS sector. These give the NS sector the structure of a Vertex Operator SuperAlgebra, and the R sector the structure of a ${\bold Z}_2$-twisted module for that VOSA. Keeping both copies of the $h = 1/16$ modules in the R sector, we can define intertwining operators in one-to-one correspondence with the states in the R sector such that the usual Ising fusion rules for just three modules are replaced by a rule given by the group ${\bold Z}_4$. The main objective is to find a generalization of the VOSA Jacobi-Cauchy identity which is satisfied by these intertwining operators. There are several novel features of this new ``Matrix'' Jacobi-Cauchy Identity (MJCI), most of which come from the fact that correlation functions made from two intertwiners are hypergeometric functions. In order to relate and rationalize the correlation functions we use the Kummer quadratic transformation formulas, lifting the functions to a four-sheeted covering, branched over the usual three poles, where the Cauchy residue theorem can be applied. The six possible poles on the cover give six terms in the MJCI. Furthermore, we organize those functions into $2\times 4$ matrices and find the $2\times 2$ (fusion and braiding) matrices which relate them at the six poles. These results for intertwiners

8.079687

9.331029

8.819135

8.490482

9.115678

8.903401

8.911775

8.876758

8.540656

9.809354

8.071952

8.182769

8.473625

8.052304

8.011261

8.147986

8.054585

8.211068

8.099407

8.458939

8.110409

1712.00943

Hikaru Ohta

Satoshi Iso, Hikaru Ohta, Takao Suyama

Secular Terms in Dyson Series to All-Orders of Perturbation

28 pages

Prog Theor Exp Phys (2018)

10.1093/ptep/pty079

KEK-TH-2017

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

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

In classical and quantum systems, perturbation of an evolution equation is often invalidated by secular terms which diverge at late times. The diverging behavior of evolution can be remedied by various techniques of resumma- tion such as renormalization group or multi-scale analysis. In this paper, we prove that, in a generic quantum mechanical system, secular terms can be systematically removed to all orders in the Dyson series by the method of improved (renormalized) perturbation. A recurrence relation to provide an explicit method to remove the secular terms is given. As a byproduct, we give a simple method to obtain energy eigenvalues and decay rates to all orders of perturbation.

[ { "created": "Mon, 4 Dec 2017 07:54:17 GMT", "version": "v1" }, { "created": "Tue, 1 May 2018 06:52:21 GMT", "version": "v2" } ]

2019-12-06

[ [ "Iso", "Satoshi", "" ], [ "Ohta", "Hikaru", "" ], [ "Suyama", "Takao", "" ] ]

In classical and quantum systems, perturbation of an evolution equation is often invalidated by secular terms which diverge at late times. The diverging behavior of evolution can be remedied by various techniques of resumma- tion such as renormalization group or multi-scale analysis. In this paper, we prove that, in a generic quantum mechanical system, secular terms can be systematically removed to all orders in the Dyson series by the method of improved (renormalized) perturbation. A recurrence relation to provide an explicit method to remove the secular terms is given. As a byproduct, we give a simple method to obtain energy eigenvalues and decay rates to all orders of perturbation.

10.26467

10.338192

10.569585

9.99606

10.106594

11.114439

10.760047

10.077824

10.064749

10.374456

10.128546

9.878905

9.849989

9.651818

9.890137

9.757109

10.327251

9.987007

9.860511

9.911273

9.628481

1006.1425

Zhao-Long Wang

H. Lu and Zhao-Long Wang

Instability by Chern-Simons and/or Transgressions

18 pages, no figures, revised version to appear in JHEP

JHEP 1009:112,2010

10.1007/JHEP09(2010)112

USTC-ICTS-10-07

hep-th

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

It was demonstrated recently that there is an upper bound of the Chern-Simons coupling of the five-dimensional Einstein-Maxwell theory, beyond which the electrically charged AdS_2 \times S^3 vacuum solution becomes unstable. We generalize the result to a general class of gravity theories involving Chern-Simons and/or transgression terms and find their upper bounds for stability. We show that supergravities with AdS \times Sphere vacua satisfy the bounds.

[ { "created": "Tue, 8 Jun 2010 01:11:52 GMT", "version": "v1" }, { "created": "Mon, 19 Jul 2010 07:08:33 GMT", "version": "v2" }, { "created": "Thu, 30 Sep 2010 15:27:06 GMT", "version": "v3" } ]

2014-11-21

[ [ "Lu", "H.", "" ], [ "Wang", "Zhao-Long", "" ] ]

It was demonstrated recently that there is an upper bound of the Chern-Simons coupling of the five-dimensional Einstein-Maxwell theory, beyond which the electrically charged AdS_2 \times S^3 vacuum solution becomes unstable. We generalize the result to a general class of gravity theories involving Chern-Simons and/or transgression terms and find their upper bounds for stability. We show that supergravities with AdS \times Sphere vacua satisfy the bounds.

10.925276

10.568615

10.423773

8.965954

9.474169

10.578709

8.38391

9.307481

9.080569

12.87092

9.977281

10.186195

9.953345

9.705602

10.02704

9.856133

10.153005

9.574388

9.830983

9.759705

9.613204

hep-th/9502086

Cadoni Mariano

Mariano Cadoni, Marco Cavaglia'

Instability of the R^3\times S^1 vacuum in low-energy effective string theory

9 pages, plain-tex file, 2 figures available upon request

Phys.Rev.D52:2583-2586,1995

10.1103/PhysRevD.52.2583

INFNCA-TH9501, SISSA 16/95/A

hep-th

null

We present and discuss an euclidean solution of the low-energy effective string action that can be interpreded as a semiclassical decay process of the ground state of the theory.

[ { "created": "Tue, 14 Feb 1995 13:22:37 GMT", "version": "v1" } ]

2010-11-01

[ [ "Cadoni", "Mariano", "" ], [ "Cavaglia'", "Marco", "" ] ]

We present and discuss an euclidean solution of the low-energy effective string action that can be interpreded as a semiclassical decay process of the ground state of the theory.

20.897793

13.753992

14.138478

15.970296

11.820713

13.084253

13.662884

12.210138

13.155472

15.152349

15.098419

14.08725

16.389194

14.989833

14.247924

14.122432

15.589224

14.985995

15.303451

15.882464

14.650521

hep-th/0012269

Carlos M. Naon

An\'ibal Iucci, Kang Li, Carlos M. Na\'on

Non local Thirring model with spin flipping interactions

Latex, elsart, 18 pags., no figures

Nucl.Phys. B601 (2001) 607-619

10.1016/S0550-3213(01)00078-5

La Plata-Th 00/14

hep-th cond-mat.str-el

null

We extend a non local and non covariant version of the Thirring model in order to describe a many-body system with spin-flipping interactions By introducing a model with two fermion species we are able to avoid the use of non abelian bosonization which is needed in a previous approach. We obtain a bosonized expression for the partition function, describing the dynamics of the collective modes of this system. By using the self-consistent harmonic approximation we found a formula for the gap of the spin-charge excitations as functional of arbitrary electron-electron potentials.

[ { "created": "Fri, 29 Dec 2000 22:57:10 GMT", "version": "v1" } ]

2016-08-15

[ [ "Iucci", "Aníbal", "" ], [ "Li", "Kang", "" ], [ "Naón", "Carlos M.", "" ] ]

We extend a non local and non covariant version of the Thirring model in order to describe a many-body system with spin-flipping interactions By introducing a model with two fermion species we are able to avoid the use of non abelian bosonization which is needed in a previous approach. We obtain a bosonized expression for the partition function, describing the dynamics of the collective modes of this system. By using the self-consistent harmonic approximation we found a formula for the gap of the spin-charge excitations as functional of arbitrary electron-electron potentials.

14.30841

11.999774

16.643526

12.345382

14.357078

13.280045

13.848491

12.577698

13.173852

16.469856

13.172656

13.127896

14.054403

13.546246

13.870479

13.969843

13.844816

13.345081

13.563768

14.642824

13.04891

hep-th/0508048

Nicolas Boulanger

Xavier Bekaert, Nicolas Boulanger and Sandrine Cnockaert

Spin three gauge theory revisited

LaTeX, 37 pages. References and comments added. Published version

JHEP 0601:052,2006

10.1088/1126-6708/2006/01/052

null

hep-th

null

We study the problem of consistent interactions for spin-3 gauge fields in flat spacetime of arbitrary dimension n>3. Under the sole assumptions of Poincar\'e and parity invariance, local and perturbative deformation of the free theory, we determine all nontrivial consistent deformations of the abelian gauge algebra and classify the corresponding deformations of the quadratic action, at first order in the deformation parameter. We prove that all such vertices are cubic, contain a total of either three or five derivatives and are uniquely characterized by a rank-three constant tensor (an internal algebra structure constant). The covariant cubic vertex containing three derivatives is the vertex discovered by Berends, Burgers and van Dam, which however leads to inconsistencies at second order in the deformation parameter. In dimensions n>4 and for a completely antisymmetric structure constant tensor, another covariant cubic vertex exists, which contains five derivatives and passes the consistency test where the previous vertex failed.

[ { "created": "Sun, 7 Aug 2005 18:02:29 GMT", "version": "v1" }, { "created": "Sun, 26 Mar 2006 19:26:02 GMT", "version": "v2" } ]

2010-02-03

[ [ "Bekaert", "Xavier", "" ], [ "Boulanger", "Nicolas", "" ], [ "Cnockaert", "Sandrine", "" ] ]

We study the problem of consistent interactions for spin-3 gauge fields in flat spacetime of arbitrary dimension n>3. Under the sole assumptions of Poincar\'e and parity invariance, local and perturbative deformation of the free theory, we determine all nontrivial consistent deformations of the abelian gauge algebra and classify the corresponding deformations of the quadratic action, at first order in the deformation parameter. We prove that all such vertices are cubic, contain a total of either three or five derivatives and are uniquely characterized by a rank-three constant tensor (an internal algebra structure constant). The covariant cubic vertex containing three derivatives is the vertex discovered by Berends, Burgers and van Dam, which however leads to inconsistencies at second order in the deformation parameter. In dimensions n>4 and for a completely antisymmetric structure constant tensor, another covariant cubic vertex exists, which contains five derivatives and passes the consistency test where the previous vertex failed.

10.054812

9.194084

10.096074

8.66554

9.635884

9.083524

8.939366

8.55978

8.614357

11.520157

9.236235

8.853673

9.802508

8.836612

8.81862

8.909703

8.885903

8.865732

8.801517

9.44328

9.046473

2305.08939

Sourav Sarkar

Agnese Bissi, Sourav Sarkar

A constructive solution to the cosmological bootstrap

37 pages, acknowledgements updated

null

hep-th math-ph math.MP

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

In this paper we revisit a generalised crossing equation that follows from harmonic analysis on the conformal group, and is of particular interest for the cosmological bootstrap programme. We present an exact solution to this equation, for dimensions two or higher, in terms of 6j symbols of the Euclidean conformal group, and discuss its relevance. In the process we provide a detailed derivation of the analogue of the Biedenharn-Elliot identity for said 6j symbols.

[ { "created": "Mon, 15 May 2023 18:20:59 GMT", "version": "v1" }, { "created": "Tue, 27 Jun 2023 13:58:44 GMT", "version": "v2" } ]

2023-06-28

[ [ "Bissi", "Agnese", "" ], [ "Sarkar", "Sourav", "" ] ]

In this paper we revisit a generalised crossing equation that follows from harmonic analysis on the conformal group, and is of particular interest for the cosmological bootstrap programme. We present an exact solution to this equation, for dimensions two or higher, in terms of 6j symbols of the Euclidean conformal group, and discuss its relevance. In the process we provide a detailed derivation of the analogue of the Biedenharn-Elliot identity for said 6j symbols.

10.02896

9.880799

9.798545

8.626824

8.228144

7.828403

8.629388

8.695104

8.933869

10.340727

8.496245

8.736076

9.7716

8.704346

8.419881

8.703373

8.684689

9.01943

8.366735

9.476114

8.867595

2307.13644

TaeHwan Oh

Thomas Basile, Euihun Joung, TaeHwan Oh

Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions

89 pages. An appendix on the comparison with Metsaev's AdS continuous spin field (arXiv:1903.10495) is added. More discussions on the quantisation with a non-trivial deformation parameter are added. Remarks on Peter-Weyl theorem are added. A few references are added. Other minor revisions are made

null

hep-th

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

We derive manifestly covariant actions of spinning particles starting from coadjoint orbits of isometry groups, by using Hamiltonian reductions. We show that the defining conditions of a classical Lie group can be treated as Hamiltonian constraints which generate the coadjoint orbits of another, dual, Lie group. In case of (inhomogeneous) orthogonal groups, the dual groups are (centrally-extended inhomogeneous) symplectic groups. This defines a symplectic dual pair correspondence between the coadjoint orbits of the isometry group and those of the dual Lie group, whose quantum version is the reductive dual pair correspondence \`a la Howe. We show explicitly how various particle species arise from the classification of coadjoint orbits of Poincar\'e and (A)dS symmetry. In the Poincar\'e case, we recover the data of the Wigner classification, which includes continuous spin particles, (spinning) tachyons and null particles with vanishing momenta, besides the usual massive and massless spinning particles. In (A)dS case, our classification results are not only consistent with the pattern of the corresponding unitary irreducible representations observed in the literature, but also contain novel information. In dS, we find the presence of partially massless spinning particles, but continuous spin particles, spinning tachyons and null particles are absent. The AdS case shows the largest diversity of particle species. It has all particles species of Poincar\'e symmetry except for the null particle, but allows in addition various exotic entities such as one parameter extension of continuous particles and conformal particles living on the boundary of AdS. Notably, we also find a large class of particles living in "bitemporal" AdS space, including ones where mass and spin play an interchanged role. We also discuss the relative inclusion structure of the corresponding orbits.

[ { "created": "Tue, 25 Jul 2023 16:53:36 GMT", "version": "v1" }, { "created": "Thu, 17 Aug 2023 08:19:56 GMT", "version": "v2" } ]

2023-08-21

[ [ "Basile", "Thomas", "" ], [ "Joung", "Euihun", "" ], [ "Oh", "TaeHwan", "" ] ]

We derive manifestly covariant actions of spinning particles starting from coadjoint orbits of isometry groups, by using Hamiltonian reductions. We show that the defining conditions of a classical Lie group can be treated as Hamiltonian constraints which generate the coadjoint orbits of another, dual, Lie group. In case of (inhomogeneous) orthogonal groups, the dual groups are (centrally-extended inhomogeneous) symplectic groups. This defines a symplectic dual pair correspondence between the coadjoint orbits of the isometry group and those of the dual Lie group, whose quantum version is the reductive dual pair correspondence \`a la Howe. We show explicitly how various particle species arise from the classification of coadjoint orbits of Poincar\'e and (A)dS symmetry. In the Poincar\'e case, we recover the data of the Wigner classification, which includes continuous spin particles, (spinning) tachyons and null particles with vanishing momenta, besides the usual massive and massless spinning particles. In (A)dS case, our classification results are not only consistent with the pattern of the corresponding unitary irreducible representations observed in the literature, but also contain novel information. In dS, we find the presence of partially massless spinning particles, but continuous spin particles, spinning tachyons and null particles are absent. The AdS case shows the largest diversity of particle species. It has all particles species of Poincar\'e symmetry except for the null particle, but allows in addition various exotic entities such as one parameter extension of continuous particles and conformal particles living on the boundary of AdS. Notably, we also find a large class of particles living in "bitemporal" AdS space, including ones where mass and spin play an interchanged role. We also discuss the relative inclusion structure of the corresponding orbits.

9.970698

10.69518

10.969456

9.508976

10.319671

10.282696

10.255114

10.443514

9.978235

11.318282

9.733307

9.89989

10.260406

9.82263

9.758888

9.924051

9.716402

9.792705

9.740403

10.407351

9.643915

1507.00938

Raffaele Marotta

Paolo Di Vecchia, Raffaele Marotta, Matin Mojaza

Double-soft behavior for scalars and gluons from string theory

25 pages, 1 figure

null

10.1007/JHEP12(2015)150

NORDITA-2015-84

hep-th

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

We compute the leading double-soft behavior for gluons and for the scalars obtained by dimensional reduction of a higher dimensional pure gauge theory, from the scattering amplitudes of gluons and scalars living in the world-volume of a Dp-brane of the bosonic string. In the case of gluons, we compute both the double-soft behavior when the two soft gluons are contiguous as well as when they are not contiguous. From our results, that are valid in string theory, one can easily get the double-soft limit in gauge field theory by sending the string tension to infinity.

[ { "created": "Fri, 3 Jul 2015 15:12:11 GMT", "version": "v1" } ]

2016-01-27

[ [ "Di Vecchia", "Paolo", "" ], [ "Marotta", "Raffaele", "" ], [ "Mojaza", "Matin", "" ] ]

We compute the leading double-soft behavior for gluons and for the scalars obtained by dimensional reduction of a higher dimensional pure gauge theory, from the scattering amplitudes of gluons and scalars living in the world-volume of a Dp-brane of the bosonic string. In the case of gluons, we compute both the double-soft behavior when the two soft gluons are contiguous as well as when they are not contiguous. From our results, that are valid in string theory, one can easily get the double-soft limit in gauge field theory by sending the string tension to infinity.

7.482819

7.062069

8.306529

6.434572

6.806536

7.504598

6.783763

6.790143

6.678194

8.254976

6.214513

6.522015

7.063446

6.739628

6.554825

6.522469

6.620091

6.298738

6.669595

7.270338

6.50455

2309.04026

Augusto Sagnotti Prof.

J. Mourad (APC, Univ. Paris Cit\'e), A. Sagnotti (Scuola Normale Superiore and INFN, Pisa)

A 4D IIB Flux Vacuum and Supersymmetry Breaking. II. Bosonic Spectrum and Stability

119 pages, LaTeX, 24 eps figures

null

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

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

We recently constructed type-IIB compactifications to four dimensions depending on a single additional coordinate, where a five-form flux $\Phi$ on an internal torus leads to a constant string coupling. Supersymmetry is fully broken when the internal manifold includes a finite interval of length $\ell$, which is spanned by a conformal coordinate in a finite range $0 < z < z_m$. Here we examine the low-lying bosonic spectra and their classical stability, paying special attention to self-adjoint boundary conditions. Special boundary conditions result in the emergence of zero modes, which are determined exactly by first-order equations. The different sectors of the spectrum can be related to Schr\"odinger operators on a finite interval, characterized by pairs of real constants $\mu$ and $\tilde{\mu}$, with $\mu$ equal to ${1}/{3}$ or ${2}/{3}$ in all cases and different values of $\tilde{\mu}$. The potentials behave as $\frac{\mu^2-1/4}{z^2}$ and $\frac{\tilde{\mu}^2-1/4}{\left(z_m-z\right)^2}$ near the ends and can be closely approximated by exactly solvable trigonometric ones. With vanishing internal momenta, one can thus identify a wide range of boundary conditions granting perturbative stability, despite the intricacies that emerge in some sectors. For the Kaluza--Klein excitations of non-singlet vectors and scalars the Schr\"odinger systems couple pairs of fields, and the stability regions, which depend on the background, widen as the ratio ${\Phi}/{\ell^4}$ decreases.

[ { "created": "Thu, 7 Sep 2023 21:41:40 GMT", "version": "v1" } ]

2023-09-11

[ [ "Mourad", "J.", "", "APC, Univ. Paris Cité" ], [ "Sagnotti", "A.", "", "Scuola Normale\n Superiore and INFN, Pisa" ] ]

We recently constructed type-IIB compactifications to four dimensions depending on a single additional coordinate, where a five-form flux $\Phi$ on an internal torus leads to a constant string coupling. Supersymmetry is fully broken when the internal manifold includes a finite interval of length $\ell$, which is spanned by a conformal coordinate in a finite range $0 < z < z_m$. Here we examine the low-lying bosonic spectra and their classical stability, paying special attention to self-adjoint boundary conditions. Special boundary conditions result in the emergence of zero modes, which are determined exactly by first-order equations. The different sectors of the spectrum can be related to Schr\"odinger operators on a finite interval, characterized by pairs of real constants $\mu$ and $\tilde{\mu}$, with $\mu$ equal to ${1}/{3}$ or ${2}/{3}$ in all cases and different values of $\tilde{\mu}$. The potentials behave as $\frac{\mu^2-1/4}{z^2}$ and $\frac{\tilde{\mu}^2-1/4}{\left(z_m-z\right)^2}$ near the ends and can be closely approximated by exactly solvable trigonometric ones. With vanishing internal momenta, one can thus identify a wide range of boundary conditions granting perturbative stability, despite the intricacies that emerge in some sectors. For the Kaluza--Klein excitations of non-singlet vectors and scalars the Schr\"odinger systems couple pairs of fields, and the stability regions, which depend on the background, widen as the ratio ${\Phi}/{\ell^4}$ decreases.

10.185781

10.26413

11.365149

9.986065

11.281838

10.689603

10.396637

10.805531

10.375295

12.028203

10.125805

9.864687

9.891901

9.82538

10.032454

9.818792

9.911255

9.855932

9.833812

10.190065

9.61506

1912.11161

Callum Jones

Sera Cremonini, Callum R. T. Jones, James T. Liu and Brian McPeak

Higher-Derivative Corrections to Entropy and the Weak Gravity Conjecture in Anti-de Sitter Space

57 pages, v2: minor revisions

null

hep-th

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

We compute the four-derivative corrections to the geometry, extremality bound, and thermodynamic quantities of AdS-Reissner-Nordstr{\"o}m black holes for general dimensions and horizon geometries. We confirm the universal relationship between the extremality shift at fixed charge and the shift of the microcanonical entropy, and discuss the consequences of this relation for the Weak Gravity Conjecture in AdS. The thermodynamic corrections are calculated using two different methods: first by explicitly solving the higher-derivative equations of motion and second, by evaluating the higher-derivative Euclidean on-shell action on the leading-order solution. In both cases we find agreement, up to the addition of a Casimir energy in odd dimensions. We derive the bounds on the four-derivative Wilson coefficients implied by the conjectured positivity of the leading corrections to the microcanonical entropy of thermodynamically stable black holes. These include the requirement that the coefficient of Riemann-squared is positive, meaning that the positivity of the entropy shift is related to the condition that $c - a$ is positive in the dual CFT. We discuss implications for the deviation of $\eta/s$ from its universal value and a potential lower bound.

[ { "created": "Tue, 24 Dec 2019 01:07:31 GMT", "version": "v1" }, { "created": "Mon, 25 May 2020 19:19:54 GMT", "version": "v2" } ]

2020-05-27

[ [ "Cremonini", "Sera", "" ], [ "Jones", "Callum R. T.", "" ], [ "Liu", "James T.", "" ], [ "McPeak", "Brian", "" ] ]

We compute the four-derivative corrections to the geometry, extremality bound, and thermodynamic quantities of AdS-Reissner-Nordstr{\"o}m black holes for general dimensions and horizon geometries. We confirm the universal relationship between the extremality shift at fixed charge and the shift of the microcanonical entropy, and discuss the consequences of this relation for the Weak Gravity Conjecture in AdS. The thermodynamic corrections are calculated using two different methods: first by explicitly solving the higher-derivative equations of motion and second, by evaluating the higher-derivative Euclidean on-shell action on the leading-order solution. In both cases we find agreement, up to the addition of a Casimir energy in odd dimensions. We derive the bounds on the four-derivative Wilson coefficients implied by the conjectured positivity of the leading corrections to the microcanonical entropy of thermodynamically stable black holes. These include the requirement that the coefficient of Riemann-squared is positive, meaning that the positivity of the entropy shift is related to the condition that $c - a$ is positive in the dual CFT. We discuss implications for the deviation of $\eta/s$ from its universal value and a potential lower bound.

7.839577

8.041372

8.070806

7.416788

7.878411

8.243927

7.41491

7.100441

7.686261

9.000401

7.119336

7.635631

7.61896

7.436568

7.472826

7.505732

7.747049

7.304893

7.291964

7.765523

7.307912

2110.05491

Alexandre Belin

Alexandre Belin, Shovon Biswas, James Sully

The Spectrum of Boundary States in Symmetric Orbifolds

35 pages

null

10.1007/JHEP01(2022)123

CERN-TH-2021-149

hep-th

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

We give an explicit construction of the complete set of Cardy boundary states that respect the extended chiral algebra for symmetric product orbifolds. The states are labelled by a choice of seed theory boundary states as well as a choice of representations of the symmetric group. At large $N$, we analyze the BCFT data which is relevant for holography, namely the boundary entropy and the one-point functions of single-trace operators. In some cases, typical boundary states are compatible with a bulk description in terms of an End-of-the-World brane along with backreacted matter fields. We discuss the significance of these results for the AdS/BCFT correspondence.

[ { "created": "Mon, 11 Oct 2021 18:00:00 GMT", "version": "v1" } ]

2022-02-09

[ [ "Belin", "Alexandre", "" ], [ "Biswas", "Shovon", "" ], [ "Sully", "James", "" ] ]

We give an explicit construction of the complete set of Cardy boundary states that respect the extended chiral algebra for symmetric product orbifolds. The states are labelled by a choice of seed theory boundary states as well as a choice of representations of the symmetric group. At large $N$, we analyze the BCFT data which is relevant for holography, namely the boundary entropy and the one-point functions of single-trace operators. In some cases, typical boundary states are compatible with a bulk description in terms of an End-of-the-World brane along with backreacted matter fields. We discuss the significance of these results for the AdS/BCFT correspondence.

9.717273

8.440742

10.132499

7.760391

8.035788

8.597003

8.266553

7.793185

8.055783

11.167428

7.51879

8.645584

9.389131

8.695512

8.502301

8.950437

8.725051

8.66796

8.547703

9.380015

8.431414

1202.6062

Bom Soo Kim

Schr\"odinger Holography with and without Hyperscaling Violation

62 pages and 6 figures, v2: several typos in section 5 corrected, references added, v3: typos corrected, references added, published version

JHEP 1206 (2012) 116

10.1007/JHEP06(2012)116

TAUP-2943/12

hep-th cond-mat.str-el

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

We study the properties of the Schr\"odinger-type non-relativistic holography for general dynamical exponent z with and without hyperscaling violation exponent \theta. The scalar correlation function has a more general form due to general z as well as the presence of \theta, whose effects also modify the scaling dimension of the scalar operator. We propose a prescription for minimal surfaces of this "codimension 2 holography," and demonstrate the (d-1) dimensional area law for the entanglement entropy from (d+3) dimensional Schr\"odinger backgrounds. Surprisingly, the area law is violated for d+1 < z < d+2, even without hyperscaling violation, which interpolates between the logarithmic violation and extensive volume dependence of entanglement entropy. Similar violations are also found in the presence of the hyperscaling violation. Their dual field theories are expected to have novel phases for the parameter range, including Fermi surface. We also analyze string theory embeddings using non-relativistic branes.

[ { "created": "Mon, 27 Feb 2012 21:00:08 GMT", "version": "v1" }, { "created": "Sun, 4 Mar 2012 20:06:57 GMT", "version": "v2" }, { "created": "Thu, 28 Jun 2012 16:19:56 GMT", "version": "v3" } ]

2012-06-29

[ [ "Kim", "Bom Soo", "" ] ]

We study the properties of the Schr\"odinger-type non-relativistic holography for general dynamical exponent z with and without hyperscaling violation exponent \theta. The scalar correlation function has a more general form due to general z as well as the presence of \theta, whose effects also modify the scaling dimension of the scalar operator. We propose a prescription for minimal surfaces of this "codimension 2 holography," and demonstrate the (d-1) dimensional area law for the entanglement entropy from (d+3) dimensional Schr\"odinger backgrounds. Surprisingly, the area law is violated for d+1 < z < d+2, even without hyperscaling violation, which interpolates between the logarithmic violation and extensive volume dependence of entanglement entropy. Similar violations are also found in the presence of the hyperscaling violation. Their dual field theories are expected to have novel phases for the parameter range, including Fermi surface. We also analyze string theory embeddings using non-relativistic branes.

10.179231

10.074678

11.397603

9.89222

10.064228

10.446749

10.412692

10.244882

9.913072

12.048295

10.002342

9.867544

10.414301

9.467813

9.816962

10.058133

9.817168

9.794144

9.646138

10.227776

9.446959

hep-th/0308091

Harry Schiff

Quark-like potentials in an extended Maxwell theory

revtex

null

hep-th

null

The exact Li$\acute{e}$nard-Wiechert solutions for the point charge in arbitrary motion are shown to be null fields everywhere. These are used as a basis to introduce extended electromagnetic field equations that have null field solutions with fractional charges that combine with absolute confining potentials.

[ { "created": "Wed, 13 Aug 2003 22:29:13 GMT", "version": "v1" } ]

2007-05-23

[ [ "Schiff", "Harry", "" ] ]

The exact Li$\acute{e}$nard-Wiechert solutions for the point charge in arbitrary motion are shown to be null fields everywhere. These are used as a basis to introduce extended electromagnetic field equations that have null field solutions with fractional charges that combine with absolute confining potentials.

35.432133

30.576847

25.051678

27.941078

32.219593

33.295773

28.909054

35.420391

30.36412

30.434561

29.51025

30.837538

28.015474

28.549135

29.411907

28.871426

28.854256

30.286274

26.931364

31.162729

28.82152

hep-th/9509150

Dr S. Chaturvedi

S Chaturvedi

Canonical Partition Functions for Parastatistical Systems of any order

9 pages, No figures, Revtex

null

10.1103/PhysRevE.54.1378

null

hep-th

null

A general formula for the canonical partition function for a system obeying any statistics based on the permutation group is derived. The formula expresses the canonical partition function in terms of sums of Schur functions. The only hitherto known result due to Suranyi [ Phys. Rev. Lett. {\bf 65}, 2329 (1990)] for parasystems of order two is shown to arise as a special case of our general formula. Our results also yield all the relevant information about the structure of the Fock spaces for parasystems.

[ { "created": "Wed, 27 Sep 1995 04:27:55 GMT", "version": "v1" } ]

2009-10-28

[ [ "Chaturvedi", "S", "" ] ]

A general formula for the canonical partition function for a system obeying any statistics based on the permutation group is derived. The formula expresses the canonical partition function in terms of sums of Schur functions. The only hitherto known result due to Suranyi [ Phys. Rev. Lett. {\bf 65}, 2329 (1990)] for parasystems of order two is shown to arise as a special case of our general formula. Our results also yield all the relevant information about the structure of the Fock spaces for parasystems.

9.755126

9.950633

9.06049

8.981247

9.990118

9.975766

9.182752

9.140018

8.872562

11.142632

9.617239

8.877983

9.010613

8.529508

9.205795

8.864212

8.901111

8.804261

8.599463

8.989544

8.843357

hep-th/9402022

Edward Frenkel

Boris Feigin, Edward Frenkel, and Nikolai Reshetikhin

Gaudin Model, Bethe Ansatz and Critical Level

40 pages, postscript-file (references added and corrected)

Commun.Math.Phys. 166 (1994) 27-62

10.1007/BF02099300

null

hep-th

null

We propose a new method of diagonalization of hamiltonians of the Gaudin model associated to an arbitrary simple Lie algebra, which is based on Wakimoto modules over affine algebras at the critical level. We construct eigenvectors of these hamiltonians by restricting certain invariant functionals on tensor products of Wakimoto modules. In conformal field theory language, the eigenvectors are given by certain bosonic correlation functions. Analogues of Bethe ansatz equations naturally appear as Kac-Kazhdan type equations on the existence of certain singular vectors in Wakimoto modules. We use this construction to expalain a connection between Gaudin's model and correlation functions of WZNW models.

[ { "created": "Thu, 3 Feb 1994 20:47:10 GMT", "version": "v1" }, { "created": "Sun, 3 Apr 1994 19:44:02 GMT", "version": "v2" } ]

2009-10-28

[ [ "Feigin", "Boris", "" ], [ "Frenkel", "Edward", "" ], [ "Reshetikhin", "Nikolai", "" ] ]

We propose a new method of diagonalization of hamiltonians of the Gaudin model associated to an arbitrary simple Lie algebra, which is based on Wakimoto modules over affine algebras at the critical level. We construct eigenvectors of these hamiltonians by restricting certain invariant functionals on tensor products of Wakimoto modules. In conformal field theory language, the eigenvectors are given by certain bosonic correlation functions. Analogues of Bethe ansatz equations naturally appear as Kac-Kazhdan type equations on the existence of certain singular vectors in Wakimoto modules. We use this construction to expalain a connection between Gaudin's model and correlation functions of WZNW models.

7.753473

8.001234

9.985598

7.833336

7.298201

7.570079

7.396711

7.665442

7.88069

8.794549

7.579839

7.534473

8.461034

7.541987

7.875698

7.463659

7.333671

7.42337

7.786412

8.291513

7.355684

hep-th/0208030

Michael Faux

Charles F. Doran and Michael Faux

A "Periodic Table" for Supersymmetric M-Theory Compactifications

34 pages, latex

J.Math.Phys.44:2853-2873,2003

10.1063/1.1581972

CU-TP-1066, HWS-200202

hep-th math.DG

null

We develop a systematic method for classifying supersymmetric orbifold compactifications of M-theory. By restricting our attention to abelian orbifolds with low order, in the special cases where elements do not include coordinate shifts, we construct a "periodic table" of such compactifications, organized according to the orbifolding group (order up to 12) and dimension (up to 7). An intriguing connection between supersymmetric orbifolds and G2-structures is explored.

[ { "created": "Sun, 4 Aug 2002 18:48:49 GMT", "version": "v1" } ]

2010-11-19

[ [ "Doran", "Charles F.", "" ], [ "Faux", "Michael", "" ] ]

We develop a systematic method for classifying supersymmetric orbifold compactifications of M-theory. By restricting our attention to abelian orbifolds with low order, in the special cases where elements do not include coordinate shifts, we construct a "periodic table" of such compactifications, organized according to the orbifolding group (order up to 12) and dimension (up to 7). An intriguing connection between supersymmetric orbifolds and G2-structures is explored.

10.860598

11.271584

11.542542

9.934053

11.117776

11.046957

11.979627

10.509653

9.801495

13.830314

9.954933

10.304824

11.4061

9.7876

9.81399

10.425622

9.888348

9.901983

9.817791

10.786975

9.886085

hep-th/0012191

Archil Kobakhidze

A.B. Kobakhidze

Extra dimensions and self-organizing criticality

8 pages, uses sprocl.sty

null

hep-th hep-ph

null

We discuss a possible explanation of the hierarchy problem within the theories with spacetime dimensions higher than four. We show that the presence of relatively (not hierarchically) large extra dimensions can significantly alter the evolution of the Higgs field VEV, driving it to an infrared stable fixed point $\sim M_{W}$. Such a behaviour results in self-organizing criticality and naturally explains gauge hierarchy without any fine tuning of the parameters.

[ { "created": "Wed, 20 Dec 2000 15:47:41 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kobakhidze", "A. B.", "" ] ]

We discuss a possible explanation of the hierarchy problem within the theories with spacetime dimensions higher than four. We show that the presence of relatively (not hierarchically) large extra dimensions can significantly alter the evolution of the Higgs field VEV, driving it to an infrared stable fixed point $\sim M_{W}$. Such a behaviour results in self-organizing criticality and naturally explains gauge hierarchy without any fine tuning of the parameters.

12.644856

13.965671

11.446659

11.192187

11.575297

13.607355

14.332377

13.147154

12.062562

13.372893

12.374627

12.0038

11.209332

11.902341

11.993213

12.559269

12.127056

12.166202

11.021719

11.432225

12.072433

1703.05251

Peter Millington

Jean Alexandre, Carl M. Bender, Peter Millington

Light neutrino masses from a non-Hermitian Yukawa theory

10 pages, 1 figure. Prepared for the proceedings of DISCRETE2016: the Fifth Symposium on Prospects in the Physics of Discrete Symmetries, 28 November-3 December 2016, University of Warsaw, Poland, to appear in the Journal of Physics: Conference Series (JPCS). Presented by P. Millington

2017 J. Phys.: Conf. Ser. 873 012047

10.1088/1742-6596/873/1/012047

KCL-PH-TH/2017-10

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

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

Working within the context of PT-symmetric quantum mechanics, we begin by describing a non-Hermitian extension of QED that is both Lorentz invariant and consistent with unitarity. We show that the non-Hermitian Dirac mass matrix of this theory exhibits an exceptional point, corresponding to an effectively massless theory whose conserved current is either right- or left-chiral dominated. With this inspiration, we are able to construct a non-Hermitian model of light Dirac neutrino masses from Hermitian and anti-Hermitian Yukawa couplings that are both of order unity. We finish by highlighting potential phenomenological implications of this model.

[ { "created": "Wed, 15 Mar 2017 16:46:08 GMT", "version": "v1" } ]

2017-08-24

[ [ "Alexandre", "Jean", "" ], [ "Bender", "Carl M.", "" ], [ "Millington", "Peter", "" ] ]

Working within the context of PT-symmetric quantum mechanics, we begin by describing a non-Hermitian extension of QED that is both Lorentz invariant and consistent with unitarity. We show that the non-Hermitian Dirac mass matrix of this theory exhibits an exceptional point, corresponding to an effectively massless theory whose conserved current is either right- or left-chiral dominated. With this inspiration, we are able to construct a non-Hermitian model of light Dirac neutrino masses from Hermitian and anti-Hermitian Yukawa couplings that are both of order unity. We finish by highlighting potential phenomenological implications of this model.

9.593708

9.188093

8.558833

8.493793

9.522678

9.851809

9.629558

9.184607

8.88383

9.419654

9.094282

8.734037

8.426538

8.788605

8.746484

8.798729

8.758437

8.72004

8.503592

8.66558

8.842678

hep-th/0609086

Ishwaree P. Neupane

Accelerating Universes from Compactification on a Warped Conifold

4 revtex pages; clarifications and references added; version accepted for publication in PRL

Phys.Rev.Lett.98:061301,2007

10.1103/PhysRevLett.98.061301

CERN-PH-TH/2006-171

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

null

We find a cosmological solution corresponding to compactification of 10d supergravity on a warped conifold that easily circumvents `no-go' theorem given for a warped/flux compactification, providing new perspectives for the study of supergravity or superstring theory in cosmological backgrounds. With fixed volume moduli of the internal space, the model can explain a physical universe undergoing an accelerated expansion in the 4d Einstein frame, for a sufficiently long time. The solution found in the limit that the warp factor dependent on the radial coordinate $y$ is extremized (giving a constant warping) is smooth and it supports a flat four-dimensional Friedmann-Robertson-Walker cosmology undergoing a period of accelerated expansion with slowly rolling or stabilized volume moduli.

[ { "created": "Wed, 13 Sep 2006 19:26:07 GMT", "version": "v1" }, { "created": "Wed, 15 Nov 2006 03:09:45 GMT", "version": "v2" }, { "created": "Tue, 30 Jan 2007 02:07:04 GMT", "version": "v3" } ]

2008-11-26

[ [ "Neupane", "Ishwaree P.", "" ] ]

We find a cosmological solution corresponding to compactification of 10d supergravity on a warped conifold that easily circumvents `no-go' theorem given for a warped/flux compactification, providing new perspectives for the study of supergravity or superstring theory in cosmological backgrounds. With fixed volume moduli of the internal space, the model can explain a physical universe undergoing an accelerated expansion in the 4d Einstein frame, for a sufficiently long time. The solution found in the limit that the warp factor dependent on the radial coordinate $y$ is extremized (giving a constant warping) is smooth and it supports a flat four-dimensional Friedmann-Robertson-Walker cosmology undergoing a period of accelerated expansion with slowly rolling or stabilized volume moduli.

14.969837

14.127099

14.590684

12.931731

13.699087

13.3849

13.882282

13.062882

13.927405

14.673719

13.886649

13.860184

14.016103

13.472198

13.495763

13.568179

13.351895

13.804868

14.036022

13.801622

13.391079

hep-th/9610080

Stanislav Boldyrev

S. Boldyrev

A note on Burgers' turbulence

11 pages, Latex

Phys.Rev. E55 (1997) 6907

10.1103/PhysRevE.55.6907

null

hep-th chao-dyn nlin.CD

null

In this note the Polyakov equation [Phys. Rev. E {\bf 52} (1995) 6183] for the velocity-difference PDF, with the exciting force correlation function $\kappa (y)\sim1-y^{\alpha}$ is analyzed. Several solvable cases are considered, which are in a good agreement with available numerical results. Then it is shown how the method developed by A. Polyakov can be applied to turbulence with short-scale-correlated forces, a situation considered in models of self-organized criticality.

[ { "created": "Sun, 13 Oct 1996 23:09:14 GMT", "version": "v1" } ]

2009-10-30

[ [ "Boldyrev", "S.", "" ] ]

In this note the Polyakov equation [Phys. Rev. E {\bf 52} (1995) 6183] for the velocity-difference PDF, with the exciting force correlation function $\kappa (y)\sim1-y^{\alpha}$ is analyzed. Several solvable cases are considered, which are in a good agreement with available numerical results. Then it is shown how the method developed by A. Polyakov can be applied to turbulence with short-scale-correlated forces, a situation considered in models of self-organized criticality.

15.948284

17.895433

18.331381

14.724669

16.946066

24.783932

19.167402

17.66621

15.16326

21.413454

15.837045

15.867544

15.322469

14.407586

15.165288

15.252172

15.572808

14.918288

15.859731

15.393982

14.765163

0906.3742

Charles B. Thorn

Summing Planar Open String Loops on a Worldsheet Lattice with Dirichlet and Neumann Boundaries

16 pages 6 figures

Phys.Rev.D80:086010,2009

10.1103/PhysRevD.80.086010

UFIFT-HEP-09-05

hep-th

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

We extend the lightcone worldsheet lattice approach to string theory, proposed in 1977 by Giles and me, to allow for coincident D-branes. We find a convenient lattice representation of Dirichlet boundary conditions, which the open string coordinates transverse to the D-branes satisfy. We then represent the sum over all planar open string multi-loop diagrams by introducing an Ising spin system on the worldsheet lattice to keep track of the presence or absence of fluctuating boundaries. Finally we discuss a simple mean field treatment of the resulting coupled Ising/coordinate worldsheet system. The interplay between Neumann and Dirichlet boundary conditions leads to a richer phase structure, within this mean field approximation, than that found by Orland for the original system with only Neumann conditions.

[ { "created": "Fri, 19 Jun 2009 20:33:20 GMT", "version": "v1" } ]

2009-11-05

[ [ "Thorn", "Charles B.", "" ] ]

We extend the lightcone worldsheet lattice approach to string theory, proposed in 1977 by Giles and me, to allow for coincident D-branes. We find a convenient lattice representation of Dirichlet boundary conditions, which the open string coordinates transverse to the D-branes satisfy. We then represent the sum over all planar open string multi-loop diagrams by introducing an Ising spin system on the worldsheet lattice to keep track of the presence or absence of fluctuating boundaries. Finally we discuss a simple mean field treatment of the resulting coupled Ising/coordinate worldsheet system. The interplay between Neumann and Dirichlet boundary conditions leads to a richer phase structure, within this mean field approximation, than that found by Orland for the original system with only Neumann conditions.

11.191547

10.182274

12.850091

11.363609

12.200289

11.190699

10.583136

11.165516

10.463208

15.061747

10.538596

10.762162

11.284269

10.677348

10.708346

10.67907

10.473611

10.789052

10.505322

11.623511

10.738875

hep-th/9511155

null

Hans-Peter Thienel

A Generalization of the Bargmann-Fock Representation to Supersymmetry by Holomorphic Differential Geometry

11 pages, LaTeX

J.Phys.A29:6983,1996

10.1088/0305-4470/29/21/028

SI-95-11

hep-th quant-ph

null

In the Bargmann-Fock representation the coordinates $z^i$ act as bosonic creation operators while the partial derivatives $\partial_{z^j}$ act as annihilation operators on holomorphic $0$-forms as states of a $D$-dimensional bosonic oscillator. Considering also $p$-forms and further geometrical objects as the exterior derivative and Lie derivatives on a holomorphic ${\bf C}^D$, we end up with an analogous representation for the $D$-dimensional supersymmetric oscillator. In particular, the supersymmetry multiplet structure of the Hilbert space corresponds to the cohomology of the exterior derivative. In addition, a 1-complex parameter group emerges naturally and contains both time evolution and a homotopy related to cohomology. Emphasis is on calculus.

[ { "created": "Wed, 22 Nov 1995 16:02:42 GMT", "version": "v1" } ]

2008-11-26

[ [ "Thienel", "Hans-Peter", "" ] ]

In the Bargmann-Fock representation the coordinates $z^i$ act as bosonic creation operators while the partial derivatives $\partial_{z^j}$ act as annihilation operators on holomorphic $0$-forms as states of a $D$-dimensional bosonic oscillator. Considering also $p$-forms and further geometrical objects as the exterior derivative and Lie derivatives on a holomorphic ${\bf C}^D$, we end up with an analogous representation for the $D$-dimensional supersymmetric oscillator. In particular, the supersymmetry multiplet structure of the Hilbert space corresponds to the cohomology of the exterior derivative. In addition, a 1-complex parameter group emerges naturally and contains both time evolution and a homotopy related to cohomology. Emphasis is on calculus.

11.077149

12.331429

11.091504

11.118582

11.613188

11.141681

11.837119

10.850434

10.909479

13.653941

11.308374

10.114771

11.553251

10.277882

10.057668

9.756373

9.684924

10.468156

10.571417

11.020991

10.625084

2206.06762

R Loll

R. Loll, G. Fabiano, D. Frattulillo and F. Wagner

Quantum Gravity in 30 Questions

63 pages, 3 figures, extended version of a set of lectures given by R. Loll at the School on Quantum Gravity Phenomenology in the Multi-Messenger Approach, Corfu, Greece, Sep 2021

null

hep-th

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

Quantum gravity is the missing piece in our understanding of the fundamental interactions today. Given recent observational breakthroughs in gravity, providing a quantum theory for what lies beyond general relativity is more urgent than ever. However, the complex history of quantum gravity and the multitude of available approaches can make it difficult to get a grasp of the topic and its main challenges and opportunities. We provide a guided tour of quantum gravity in the form of 30 questions, aimed at a mixed audience of learners and practitioners. The issues covered range from basic motivational and background material to a critical assessment of the status quo and future of the subject. The emphasis is on structural issues and our current understanding of quantum gravity as a quantum field theory of dynamical geometry beyond perturbation theory. We highlight the identification of quantum observables and the development of effective numerical tools as critical to future progress.

[ { "created": "Tue, 14 Jun 2022 11:21:05 GMT", "version": "v1" } ]

2022-06-15

[ [ "Loll", "R.", "" ], [ "Fabiano", "G.", "" ], [ "Frattulillo", "D.", "" ], [ "Wagner", "F.", "" ] ]

Quantum gravity is the missing piece in our understanding of the fundamental interactions today. Given recent observational breakthroughs in gravity, providing a quantum theory for what lies beyond general relativity is more urgent than ever. However, the complex history of quantum gravity and the multitude of available approaches can make it difficult to get a grasp of the topic and its main challenges and opportunities. We provide a guided tour of quantum gravity in the form of 30 questions, aimed at a mixed audience of learners and practitioners. The issues covered range from basic motivational and background material to a critical assessment of the status quo and future of the subject. The emphasis is on structural issues and our current understanding of quantum gravity as a quantum field theory of dynamical geometry beyond perturbation theory. We highlight the identification of quantum observables and the development of effective numerical tools as critical to future progress.

11.818285

11.799323

10.976884

10.627612

11.529519

11.325865

12.742175

11.754319

11.579189

12.030216

11.19873

11.57341

11.067466

10.850644

11.089569

10.911325

10.723287

10.885541

11.339655

11.57254

10.847314

2003.13501

Timothy Adamo

Tim Adamo, Lionel Mason, Atul Sharma

MHV scattering of gluons and gravitons in chiral strong fields

7 pages, no figures. v2: published version

Phys. Rev. Lett. 125, 041602 (2020)

10.1103/PhysRevLett.125.041602

null

hep-th gr-qc

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

We present all-multiplicity formulae for the tree-level scattering of gluons and gravitons in the maximal helicity violating (MHV) helicity configuration, calculated in certain chiral strong fields. The strong backgrounds we consider are self-dual plane waves in gauge theory and general relativity, which are treated exactly and admit a well-defined S-matrix. The gauge theory background-coupled MHV amplitude is simply a dressed analogue of the familiar Parke-Taylor formula, but the gravitational version has non-trivial new structures due to graviton tails. Both formulae have just one residual integral rather than the $n-2$ expected at $n$-points from space-time perturbation theory; this simplification arises from the integrability of self-dual backgrounds and their corresponding twistor description. The resulting formulae pass several consistency checks and limit to the well-known expressions for MHV scattering of gluons and gravitons when the background becomes trivial.

[ { "created": "Mon, 30 Mar 2020 14:27:22 GMT", "version": "v1" }, { "created": "Mon, 27 Jul 2020 11:58:28 GMT", "version": "v2" } ]

2020-07-29

[ [ "Adamo", "Tim", "" ], [ "Mason", "Lionel", "" ], [ "Sharma", "Atul", "" ] ]

We present all-multiplicity formulae for the tree-level scattering of gluons and gravitons in the maximal helicity violating (MHV) helicity configuration, calculated in certain chiral strong fields. The strong backgrounds we consider are self-dual plane waves in gauge theory and general relativity, which are treated exactly and admit a well-defined S-matrix. The gauge theory background-coupled MHV amplitude is simply a dressed analogue of the familiar Parke-Taylor formula, but the gravitational version has non-trivial new structures due to graviton tails. Both formulae have just one residual integral rather than the $n-2$ expected at $n$-points from space-time perturbation theory; this simplification arises from the integrability of self-dual backgrounds and their corresponding twistor description. The resulting formulae pass several consistency checks and limit to the well-known expressions for MHV scattering of gluons and gravitons when the background becomes trivial.

11.512769

11.459249

12.837185

11.287278

11.901193

12.1924

10.676938

11.849764

10.781457

14.680137

10.269982

11.557362

11.637312

11.052689

11.397255

11.770726

11.118279

11.888703

11.328918

11.066865

11.350385

1507.05378

Chen-Te Ma CTMa

Jun-Kai Ho and Chen-Te Ma

Electric-Magnetic Dualities in Non-Abelian and Non-Commutative Gauge Theories

55 pages, minor changes, references added

null

10.1016/j.nuclphysb.2016.06.019

null

hep-th

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

Electric-magnetic dualities are equivalence between strong and weak coupling constants. A standard example is the exchange of electric and magnetic fields in an abelian gauge theory. We show three methods to perform electric-magnetic dualities in the case of the non-commutative $U(1)$ gauge theory. The first method is to use covariant field strengths to be the electric and magnetic fields. We find an invariant form of an equation of motion after performing the electric-magnetic duality. The second method is to use the Seiberg-Witten map to rewrite the non-commutative $U(1)$ gauge theory in terms of abelian field strength. The third method is to use the large Neveu Schwarz-Neveu Schwarz (NS-NS) background limit (non-commutativity parameter only has one degree of freedom) to consider the non-commutative $U(1)$ gauge theory or D3-brane. In this limit, we introduce or dualize a new one-form gauge potential to get a D3-brane in a large Ramond-Ramond (R-R) background via field redefinition. We also use perturbation to study the equivalence between two D3-brane theories. Comparison of these methods in the non-commutative $U(1)$ gauge theory gives different physical implications. The comparison reflects the differences between the non-abelian and non-commutative gauge theories in the electric-magnetic dualities. For a complete study, we also extend our studies to the simplest abelian and non-abelian $p$-form gauge theories, and a non-commutative theory with the non-abelian structure.

[ { "created": "Mon, 20 Jul 2015 03:45:22 GMT", "version": "v1" }, { "created": "Tue, 28 Jul 2015 07:27:32 GMT", "version": "v2" }, { "created": "Wed, 15 Jun 2016 16:08:13 GMT", "version": "v3" } ]

2016-06-29

[ [ "Ho", "Jun-Kai", "" ], [ "Ma", "Chen-Te", "" ] ]

Electric-magnetic dualities are equivalence between strong and weak coupling constants. A standard example is the exchange of electric and magnetic fields in an abelian gauge theory. We show three methods to perform electric-magnetic dualities in the case of the non-commutative $U(1)$ gauge theory. The first method is to use covariant field strengths to be the electric and magnetic fields. We find an invariant form of an equation of motion after performing the electric-magnetic duality. The second method is to use the Seiberg-Witten map to rewrite the non-commutative $U(1)$ gauge theory in terms of abelian field strength. The third method is to use the large Neveu Schwarz-Neveu Schwarz (NS-NS) background limit (non-commutativity parameter only has one degree of freedom) to consider the non-commutative $U(1)$ gauge theory or D3-brane. In this limit, we introduce or dualize a new one-form gauge potential to get a D3-brane in a large Ramond-Ramond (R-R) background via field redefinition. We also use perturbation to study the equivalence between two D3-brane theories. Comparison of these methods in the non-commutative $U(1)$ gauge theory gives different physical implications. The comparison reflects the differences between the non-abelian and non-commutative gauge theories in the electric-magnetic dualities. For a complete study, we also extend our studies to the simplest abelian and non-abelian $p$-form gauge theories, and a non-commutative theory with the non-abelian structure.

5.915774

6.331873

6.58819

6.005999

6.786745

6.683211

6.492457

6.148323

6.178031

6.644491

6.377191

6.037923

6.163816

5.940398

5.759602

5.948347

5.998024

5.921142

5.926313

6.062419

6.052855

1301.1624

Guido Franchetti

Guido Franchetti and Nicholas S. Manton

Gravitational instantons as models for charged particle systems

12 pages

null

10.1007/JHEP03(2013)072

null

hep-th

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

In this paper we propose ALF gravitational instantons of types A_k and D_k as models for charged particle systems. We calculate the charges of the two families. These are -(k +1) for A_k, which is proposed as a model for k+1 electrons, and 2-k for D_k, which is proposed as a model for either a particle of charge +2 and k electrons or a proton and k-1 electrons. Making use of preferred topological and metrical structures of the manifolds, namely metrically preferred representatives of middle dimension homology classes, we construct two different energy functionals which reproduce the Coulomb interaction energy for a system of charged particles.

[ { "created": "Tue, 8 Jan 2013 18:12:54 GMT", "version": "v1" } ]

2015-06-12

[ [ "Franchetti", "Guido", "" ], [ "Manton", "Nicholas S.", "" ] ]

In this paper we propose ALF gravitational instantons of types A_k and D_k as models for charged particle systems. We calculate the charges of the two families. These are -(k +1) for A_k, which is proposed as a model for k+1 electrons, and 2-k for D_k, which is proposed as a model for either a particle of charge +2 and k electrons or a proton and k-1 electrons. Making use of preferred topological and metrical structures of the manifolds, namely metrically preferred representatives of middle dimension homology classes, we construct two different energy functionals which reproduce the Coulomb interaction energy for a system of charged particles.

13.236968

12.390711

14.104991

12.554365

12.564729

11.925295

13.572495

11.832887

11.488712

15.154625

12.89831

12.336823

12.968717

12.102024

12.224377

12.324173

11.945801

11.209599

12.918995

13.299471

12.658521

hep-th/0409192

Adam Lewandowski

Adam Lewandowski (SLAC)

The Wilsonian Renormalization Group in Randall-Sundrum 1

19 pages, typos added

Phys.Rev. D71 (2005) 024006

10.1103/PhysRevD.71.024006

null

hep-th hep-ph

null

We find renormalization group transformations for the compactified Randall-Sundrum scenario by integrating out an infinitesimal slice of ultraviolet degrees of freedom near the Planck brane. Under these transformations the coefficients of operators on the Planck brane experience RG evolution. The extra-dimensional radius also scales, flowing to zero in the IR. We find an attractive fixed point in the context of a bulk scalar field theory. Calculations are simplified in the low energy effective theory as we demonstrate with the computation of a loop diagram.

[ { "created": "Mon, 20 Sep 2004 19:24:48 GMT", "version": "v1" }, { "created": "Fri, 1 Oct 2004 22:53:34 GMT", "version": "v2" } ]

2009-11-10

[ [ "Lewandowski", "Adam", "", "SLAC" ] ]

We find renormalization group transformations for the compactified Randall-Sundrum scenario by integrating out an infinitesimal slice of ultraviolet degrees of freedom near the Planck brane. Under these transformations the coefficients of operators on the Planck brane experience RG evolution. The extra-dimensional radius also scales, flowing to zero in the IR. We find an attractive fixed point in the context of a bulk scalar field theory. Calculations are simplified in the low energy effective theory as we demonstrate with the computation of a loop diagram.

12.307926

10.679428

13.070587

11.036831

11.327093

11.853904

10.920494

10.759311

10.085746

13.648536

11.27669

11.301994

12.370128

11.835545

12.000965

11.869412

11.366305

11.204944

11.371678

12.141433

11.17318

hep-th/0510126

Albion Lawrence

Daniel Z. Freedman, Matthew Headrick, and Albion Lawrence

On Closed String Tachyon Dynamics

27 pages in body, 42 pages total; v2: exposition improved, references added; v3: comment added on localized tachyons, reference added, published version

Phys.Rev.D73:066015,2006

10.1103/PhysRevD.73.066015

MIT-CTP-3693, BRX TH-558

hep-th

null

We study the condensation of closed string tachyons as a time-dependent process. In particular, we study tachyons whose wave functions are either space-filling or localized in a compact space, and whose masses are small in string units; our analysis is otherwise general and does not depend on any specific model. Using world-sheet methods, we calculate the equations of motion for the coupled tachyon-dilaton system, and show that the tachyon follows geodesic motion with respect to the Zamolodchikov metric, subject to a force proportional to its beta function and friction proportional to the time derivative of the dilaton. We study the relationship between world-sheet RG flow and the solutions to our equations, finding a close relationship in the case that the spatial theory is supercritical and the dilaton has a negative time derivative.

[ { "created": "Mon, 17 Oct 2005 18:57:34 GMT", "version": "v1" }, { "created": "Mon, 14 Nov 2005 21:17:25 GMT", "version": "v2" }, { "created": "Mon, 10 Apr 2006 23:09:34 GMT", "version": "v3" } ]

2009-10-08

[ [ "Freedman", "Daniel Z.", "" ], [ "Headrick", "Matthew", "" ], [ "Lawrence", "Albion", "" ] ]

We study the condensation of closed string tachyons as a time-dependent process. In particular, we study tachyons whose wave functions are either space-filling or localized in a compact space, and whose masses are small in string units; our analysis is otherwise general and does not depend on any specific model. Using world-sheet methods, we calculate the equations of motion for the coupled tachyon-dilaton system, and show that the tachyon follows geodesic motion with respect to the Zamolodchikov metric, subject to a force proportional to its beta function and friction proportional to the time derivative of the dilaton. We study the relationship between world-sheet RG flow and the solutions to our equations, finding a close relationship in the case that the spatial theory is supercritical and the dilaton has a negative time derivative.

8.253818

7.700192

9.457374

7.559179

8.109577

7.511962

7.812521

7.796731

7.583639

9.335581

7.488331

7.771604

8.151188

7.551712

7.636531

7.739286

7.78108

8.102874

7.850264

8.313665

7.820744

hep-th/9612151

Matej Pavsic

Fock-Schwinger proper time formalism for p-branes

6 pages

Nucl.Phys.Proc.Suppl. 57 (1997) 265-268

10.1016/S0920-5632(97)00400-3

IJS-TP-96/28

hep-th

null

The theory of the usual, constrained p-branes is embedded into a larger theory in which there is no constraints. In the latter theory the Fock-Schwinger proper time formalism is extended from point-particles to p-branes which can be considered as a points in an infinite dimensional space M. The quantization appears to be straightforward and elegant. The conventional p-brane states are particular stationary solutions to the functional Schr\"odinger equation which describes the evolution of a membrane's state with respect to the invariant evolution parameter $\tau$. It is also shown that states of a lower dimensional p-brane can be considered as particular states of a higher dimensional p-brane.

[ { "created": "Fri, 13 Dec 1996 11:10:55 GMT", "version": "v1" } ]

2009-10-30

[ [ "Pavsic", "Matej", "" ] ]

The theory of the usual, constrained p-branes is embedded into a larger theory in which there is no constraints. In the latter theory the Fock-Schwinger proper time formalism is extended from point-particles to p-branes which can be considered as a points in an infinite dimensional space M. The quantization appears to be straightforward and elegant. The conventional p-brane states are particular stationary solutions to the functional Schr\"odinger equation which describes the evolution of a membrane's state with respect to the invariant evolution parameter $\tau$. It is also shown that states of a lower dimensional p-brane can be considered as particular states of a higher dimensional p-brane.

10.041485

6.983187

9.128579

7.659099

7.656974

7.260734

7.549476

7.357666

7.695668

9.393754

8.285625

8.543206

8.995706

8.592469

8.5766

9.003776

8.633753

8.702072

8.628011

8.887931

8.911221

hep-th/9410022

Vyjayanthi Chari

V. Chari

Minimal Affinizations of Representations of Quantum Groups: the rank 2 case

19pages

null

hep-th

null

We define the notion of a minimal affinization of an irreducible representation of $U_q(g)$. We prove that minimal affinizations exist and establish their uniqueness in the rank 2 case.

[ { "created": "Tue, 4 Oct 1994 21:07:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Chari", "V.", "" ] ]

We define the notion of a minimal affinization of an irreducible representation of $U_q(g)$. We prove that minimal affinizations exist and establish their uniqueness in the rank 2 case.

8.642195

6.953221

10.916162

8.157706

8.370643

7.606524

6.727841

8.035701

7.316664

11.89572

7.196859

7.737287

10.395926

8.290736

7.817194

7.468834

7.842377

8.091827

7.78337

10.761241

7.400456

2307.09803

Hai-Qing Zhang

Peng-Zhang He, Hai-Qing Zhang

Holographic Timelike Entanglement Entropy from Rindler Method

13 pages, 3 figures

null

10.1088/1674-1137/ad57a8

null

hep-th gr-qc

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

For a Lorentzian invariant theory, the entanglement entropy should be a function of the domain of dependence of the subregion under consideration. More precisely, it should be a function of the domain of dependence and the appropriate cut-off. In this paper, we refine the concept of cut-off to make it applicable to timelike regions and assume that the usual entanglement entropy formula also applies to timelike intervals. Using the Rindler method, the timelike entanglement entropy can be regarded as the thermal entropy of the CFT after the Rindler transformation plus a constant $ic\pi/6$ with $c$ the central charge. The gravitational dual of the `covariant' timelike entanglement entropy is finally presented following this method.

[ { "created": "Wed, 19 Jul 2023 07:46:10 GMT", "version": "v1" }, { "created": "Mon, 24 Jul 2023 10:02:40 GMT", "version": "v2" }, { "created": "Thu, 13 Jun 2024 06:34:53 GMT", "version": "v3" } ]

2024-06-14

[ [ "He", "Peng-Zhang", "" ], [ "Zhang", "Hai-Qing", "" ] ]

For a Lorentzian invariant theory, the entanglement entropy should be a function of the domain of dependence of the subregion under consideration. More precisely, it should be a function of the domain of dependence and the appropriate cut-off. In this paper, we refine the concept of cut-off to make it applicable to timelike regions and assume that the usual entanglement entropy formula also applies to timelike intervals. Using the Rindler method, the timelike entanglement entropy can be regarded as the thermal entropy of the CFT after the Rindler transformation plus a constant $ic\pi/6$ with $c$ the central charge. The gravitational dual of the `covariant' timelike entanglement entropy is finally presented following this method.

9.069334

9.154007

9.624551

8.491261

8.446937

8.808203

8.856176

8.121989

8.736405

10.220638

8.170122

7.989383

8.492016

8.505399

8.161482

8.240767

8.041209

8.21321

8.186733

8.446188

8.071446

hep-th/9503006

null

Jan Ambjorn and Jerzy Jurkiewicz

Scaling in four dimensional quantum gravity

34 pages, PS

Nucl.Phys.B451:643-676,1995

10.1016/0550-3213(95)00303-A

NBI-HE-95-05

hep-th gr-qc hep-lat

null

We discuss scaling relations in four dimensional simplicial quantum gravity. Using numerical results obtained with a new algorithm called ``baby universe surgery'' we study the critical region of the theory. The position of the phase transition is given with high accuracy and some critical exponents are measured. Their values prove that the transition is continuous. We discuss the properties of two distinct phases of the theory. For large values of the bare gravitational coupling constant the internal Hausdorff dimension is {\em two} (the elongated phase), and the continuum theory is that of so called branched polymers. For small values of the bare gravitational coupling constant the internal Hausdorff dimension seems to be {\em infinite} (the crumpled phase). We conjecture that this phase corresponds to a theory of topological gravity. {\em At} the transition point the Hausdorff dimension might be finite and larger than two. This transition point is a potential candidate for a non-perturbative theory of quantum gravity.

[ { "created": "Wed, 1 Mar 1995 14:55:38 GMT", "version": "v1" } ]

2009-07-09

[ [ "Ambjorn", "Jan", "" ], [ "Jurkiewicz", "Jerzy", "" ] ]

We discuss scaling relations in four dimensional simplicial quantum gravity. Using numerical results obtained with a new algorithm called ``baby universe surgery'' we study the critical region of the theory. The position of the phase transition is given with high accuracy and some critical exponents are measured. Their values prove that the transition is continuous. We discuss the properties of two distinct phases of the theory. For large values of the bare gravitational coupling constant the internal Hausdorff dimension is {\em two} (the elongated phase), and the continuum theory is that of so called branched polymers. For small values of the bare gravitational coupling constant the internal Hausdorff dimension seems to be {\em infinite} (the crumpled phase). We conjecture that this phase corresponds to a theory of topological gravity. {\em At} the transition point the Hausdorff dimension might be finite and larger than two. This transition point is a potential candidate for a non-perturbative theory of quantum gravity.

7.173836

8.071967

8.727845

7.663703

8.41238

7.808287

8.24574

7.783165

7.317293

9.216224

7.344201

7.148298

7.517371

7.197046

7.355422

7.106857

7.309285

7.062051

7.28525

7.274336

7.167449

hep-th/9612150

null

E. Corrigan and Z-M Sheng

Classical integrability of the O(N) nonlinear Sigma model on a half-line

12 Pages. Latex file (process twice)

Int.J.Mod.Phys. A12 (1997) 2825-2834

10.1142/S0217751X97001560

HUP-96/001, DTP-96/27

hep-th

null

The classical integrability the O(N) nonlinear sigma model on a half-line is examined, and the existence of an infinity of conserved charges in involution is established for the free boundary condition. For the case N=3 other possible boundary conditions are considered briefly.

[ { "created": "Fri, 13 Dec 1996 10:57:22 GMT", "version": "v1" } ]

2015-06-26

[ [ "Corrigan", "E.", "" ], [ "Sheng", "Z-M", "" ] ]

The classical integrability the O(N) nonlinear sigma model on a half-line is examined, and the existence of an infinity of conserved charges in involution is established for the free boundary condition. For the case N=3 other possible boundary conditions are considered briefly.

12.456424

11.009133

12.326268

12.09389

12.436359

11.542765

10.41047

10.303875

9.667272

17.367476

10.88059

11.119345

12.53857

11.918289

11.511904

11.161425

11.061721

11.130013

11.429871

12.381618

11.443709

hep-th/0609021

J. R. S. Nascimento

T. Mariz, J.R. Nascimento and E. Passos

Remarks on Lorentz and CPT violation in field theory

7 pages, 8 figures, Invited talk at XXVI Brazilian National Meeting on Particles and Fields, Sao Lourenco, Brazil. To appear in Brazilian Journal of Physics (2006)

Braz.J.Phys. 36 (2006) 1171-1177

10.1590/S0103-97332006000700010

null

hep-th

null

In this brief review we explicitly calculate the radiative corrections to the Chern-Simons-like term in the cases of zero and finite temperature, and in the gravity theory. Our results are obtained under the general guidance of dimensional regularization.

[ { "created": "Sun, 3 Sep 2006 14:39:19 GMT", "version": "v1" } ]

2015-06-26

[ [ "Mariz", "T.", "" ], [ "Nascimento", "J. R.", "" ], [ "Passos", "E.", "" ] ]

In this brief review we explicitly calculate the radiative corrections to the Chern-Simons-like term in the cases of zero and finite temperature, and in the gravity theory. Our results are obtained under the general guidance of dimensional regularization.

18.868818

15.941247

17.059929

15.607417

15.761737

14.958317

16.618168

15.102757

13.496889

17.052544

13.916905

15.955305

16.248344

15.048929

16.298456

16.241322

15.110099

15.606698

15.033878

16.236912

15.604518

hep-th/0701009

Axel Krause

Supersymmetry Breaking with Zero Vacuum Energy in M-Theory Flux Compactifications

12 pages, PRL version

Phys.Rev.Lett.98:241601,2007

10.1103/PhysRevLett.98.241601

LMU-ASC 03/07

hep-th

null

An attractive mechanism to break supersymmetry in vacua with zero vacuum energy arose in E_8 x E_8 heterotic models with hidden sector gaugino condensate. An H-flux balances the exponentially small condensate on shell and fixes the complex structure moduli. At quantum level this balancing is, however, obstructed by the quantization of the H-flux. We show that the warped flux compactification background in heterotic M-theory can solve this problem through a warp-factor suppression of the integer flux relative to the condensate. We discuss the suppression mechanism both in the M-theory and the 4-dimensional effective theory and provide a derivation of the condensate's superpotential which is free of delta-function squared ambiguities.

[ { "created": "Sun, 31 Dec 2006 20:32:22 GMT", "version": "v1" }, { "created": "Thu, 13 Sep 2007 08:11:48 GMT", "version": "v2" } ]

2008-11-26

[ [ "Krause", "Axel", "" ] ]

An attractive mechanism to break supersymmetry in vacua with zero vacuum energy arose in E_8 x E_8 heterotic models with hidden sector gaugino condensate. An H-flux balances the exponentially small condensate on shell and fixes the complex structure moduli. At quantum level this balancing is, however, obstructed by the quantization of the H-flux. We show that the warped flux compactification background in heterotic M-theory can solve this problem through a warp-factor suppression of the integer flux relative to the condensate. We discuss the suppression mechanism both in the M-theory and the 4-dimensional effective theory and provide a derivation of the condensate's superpotential which is free of delta-function squared ambiguities.

14.504065

13.120152

14.539121

12.056072

13.570875

14.439247

13.68484

12.896815

11.684935

16.19379

12.521981

13.204417

13.915377

12.614886

13.157411

12.762582

12.408634

12.990327

12.788835

13.594096

12.568036

1708.03554

Mikhail Volkov

Charles Mazuet and Mikhail S. Volkov

Massive gravitons in arbitrary spacetimes

7 pages, presentation is more detailed, Appendix expanded, eq.(12) corrected, references added

Phys. Rev. D 96, 124023 (2017)

10.1103/PhysRevD.96.124023

null

hep-th gr-qc

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

We present two different versions of the consistent theory of massive gravitons in arbitrary spacetimes which are simple enough for practical applications. The theory is described by a non-symmetric rank-2 tensor whose equations of motion imply six algebraic and five differential constraints reducing the number of independent components to five. The theory reproduces the standard description of massive gravitons in Einstein spaces. In generic spacetimes it does not show the massless limit and always propagates five degrees of freedom, even for the vanishing mass parameter. We illustrate these features by an explicit calculation for a homogeneous and isotropic cosmological background. We find that the gravitons are stable if they are sufficiently massive, hence they may be a part of Dark Matter at present. We discuss also other possible applications.

[ { "created": "Fri, 11 Aug 2017 14:20:56 GMT", "version": "v1" }, { "created": "Tue, 15 Aug 2017 20:19:56 GMT", "version": "v2" }, { "created": "Wed, 23 Aug 2017 10:39:18 GMT", "version": "v3" }, { "created": "Wed, 22 Nov 2017 14:10:34 GMT", "version": "v4" } ]

2017-12-27

[ [ "Mazuet", "Charles", "" ], [ "Volkov", "Mikhail S.", "" ] ]

We present two different versions of the consistent theory of massive gravitons in arbitrary spacetimes which are simple enough for practical applications. The theory is described by a non-symmetric rank-2 tensor whose equations of motion imply six algebraic and five differential constraints reducing the number of independent components to five. The theory reproduces the standard description of massive gravitons in Einstein spaces. In generic spacetimes it does not show the massless limit and always propagates five degrees of freedom, even for the vanishing mass parameter. We illustrate these features by an explicit calculation for a homogeneous and isotropic cosmological background. We find that the gravitons are stable if they are sufficiently massive, hence they may be a part of Dark Matter at present. We discuss also other possible applications.

9.852232

8.600963

9.954216

8.959733

8.332072

8.597015

8.196391

9.168265

8.354623

9.322757

8.763191

9.044779

8.977851

8.86592

9.537793

9.339616

9.453773

9.303488

9.25035

8.99108

9.002258

1512.06476

Yasuhiro Abe

A note on generalized hypergeometric functions, KZ solutions, and gluon amplitudes

51 pages; v2. reference added; v3. minor corrections, published version

Nucl.Phys. B907 (2016) 107-153

10.1016/j.nuclphysb.2016.03.032

null

hep-th math-ph math.MP

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

Some aspects of Aomoto's generalized hypergeometric functions on Grassmannian spaces $Gr(k+1,n+1)$ are reviewed. Particularly, their integral representations in terms of twisted homology and cohomology are clarified with an example of the $Gr(2,4)$ case which corresponds to Gauss' hypergeometric functions. The cases of $Gr(2, n+1)$ in general lead to $(n+1)$-point solutions of the Knizhnik-Zamolodchikov (KZ) equation. We further analyze the Schechtman-Varchenko integral representations of the KZ solutions in relation to the $Gr(k+1, n+1)$ cases. We show that holonomy operators of the so-called KZ connections can be interpreted as hypergeometric-type integrals. This result leads to an improved description of a recently proposed holonomy formalism for gluon amplitudes. We also present a (co)homology interpretation of Grassmannian formulations for scattering amplitudes in ${\cal N} = 4$ super Yang-Mills theory.

[ { "created": "Mon, 21 Dec 2015 02:35:30 GMT", "version": "v1" }, { "created": "Thu, 24 Dec 2015 02:57:29 GMT", "version": "v2" }, { "created": "Thu, 7 Apr 2016 22:46:43 GMT", "version": "v3" } ]

2017-01-12

[ [ "Abe", "Yasuhiro", "" ] ]

Some aspects of Aomoto's generalized hypergeometric functions on Grassmannian spaces $Gr(k+1,n+1)$ are reviewed. Particularly, their integral representations in terms of twisted homology and cohomology are clarified with an example of the $Gr(2,4)$ case which corresponds to Gauss' hypergeometric functions. The cases of $Gr(2, n+1)$ in general lead to $(n+1)$-point solutions of the Knizhnik-Zamolodchikov (KZ) equation. We further analyze the Schechtman-Varchenko integral representations of the KZ solutions in relation to the $Gr(k+1, n+1)$ cases. We show that holonomy operators of the so-called KZ connections can be interpreted as hypergeometric-type integrals. This result leads to an improved description of a recently proposed holonomy formalism for gluon amplitudes. We also present a (co)homology interpretation of Grassmannian formulations for scattering amplitudes in ${\cal N} = 4$ super Yang-Mills theory.

6.712729

6.691088

6.781194

6.019192

6.70891

6.454794

6.463745

6.566418

6.427576

7.580287

6.071293

6.121768

6.097277

6.185266

6.191598

6.168169

6.174651

6.118275

6.269098

6.181121

6.004471

2302.03847

Peng Cheng

Gauge theories with non-trivial boundary conditions: Black holes

43 pages, 4 figures, matches the published version in PRD

Phys. Rev. D 107 (2023) 125022

10.1103/PhysRevD.107.125022

null

hep-th

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

We study the partition function and entropy of U(1) gauge theories with multiple boundaries on the black holes background. The nontrivial boundary conditions allow residual zero longitudinal momentum modes and Wilson lines stretched between boundaries. Topological modes of the Wilson lines and other modes are also analyzed in this paper. We study the behavior of the partition function of the theory in different temperature limits, and find the transitions of dominances of different modes as we vary the temperature. Moreover, we find two different area contributions plus logarithm corrections in the entropy. One being part of the bulk fluctuation modes can be seen for finite-temperature black holes, and the other coming from vacuum degeneracy can only be seen in the superlow temperature limit. We have confirmed the mechanism and entropy found in the superlow temperature limit also persist for extremal black holes. The gauge fluctuation on the black hole background might help us understand some fundamental aspects of quantum gravity related to gauge symmetries.

[ { "created": "Wed, 8 Feb 2023 02:41:56 GMT", "version": "v1" }, { "created": "Wed, 7 Jun 2023 01:13:29 GMT", "version": "v2" }, { "created": "Wed, 21 Jun 2023 14:24:33 GMT", "version": "v3" } ]

2023-06-23

[ [ "Cheng", "Peng", "" ] ]

We study the partition function and entropy of U(1) gauge theories with multiple boundaries on the black holes background. The nontrivial boundary conditions allow residual zero longitudinal momentum modes and Wilson lines stretched between boundaries. Topological modes of the Wilson lines and other modes are also analyzed in this paper. We study the behavior of the partition function of the theory in different temperature limits, and find the transitions of dominances of different modes as we vary the temperature. Moreover, we find two different area contributions plus logarithm corrections in the entropy. One being part of the bulk fluctuation modes can be seen for finite-temperature black holes, and the other coming from vacuum degeneracy can only be seen in the superlow temperature limit. We have confirmed the mechanism and entropy found in the superlow temperature limit also persist for extremal black holes. The gauge fluctuation on the black hole background might help us understand some fundamental aspects of quantum gravity related to gauge symmetries.

17.948195

17.487936

20.181248

16.584505

19.259106

17.839169

17.894264

17.166914

16.764034

18.326599

16.438166

17.014849

16.952414

16.49584

16.611591

16.463837

16.734432

16.553202

16.728325

16.892307

16.974339