LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9604132

Quesne Christiane

J. Beckers, N. Debergh, C. Quesne

Parasupersymmetric Quantum Mechanics with Generalized Deformed Parafermions

9 pages, LaTeX, no figures, to be published in Helv. Phys. Acta

Helv.Phys.Acta 69:60-68,1996

null

hep-th math.QA q-alg

null

A superposition of bosons and generalized deformed parafermions corresponding to an arbitrary paraquantization order $p$ is considered to provide deformations of parasupersymmetric quantum mechanics. New families of parasupersymmetric Hamiltonians are constructed in connection with two examples of su(2) nonlinear deformations such as introduced by Polychronakos and Ro\v cek.

[ { "created": "Mon, 22 Apr 1996 16:01:49 GMT", "version": "v1" } ]

2010-12-17

[ [ "Beckers", "J.", "" ], [ "Debergh", "N.", "" ], [ "Quesne", "C.", "" ] ]

A superposition of bosons and generalized deformed parafermions corresponding to an arbitrary paraquantization order $p$ is considered to provide deformations of parasupersymmetric quantum mechanics. New families of parasupersymmetric Hamiltonians are constructed in connection with two examples of su(2) nonlinear deformations such as introduced by Polychronakos and Ro\v cek.

14.632205

17.855917

18.916447

16.373499

15.151728

15.275587

17.758299

14.828826

14.893333

18.099943

13.856454

11.984932

14.390792

12.281029

12.953748

11.948584

12.068948

12.765516

12.343934

14.77138

12.436666

hep-th/0206026

Pashnev

I.L.Buchbinder, A.Pashnev and M. Tsulaia

Massless Higher Spin Fields in the AdS Background and BRST Constructions for Nonlinear Algebras

8 pages, LaTeX, in Proceedings of XVI Max Born Symposium ``Supersymmetries and Quantum Symmetries'' (SQS01), Karpacz, Poland, September 21-25, 2001. Dubna 2002 pp. 3-10

null

hep-th

null

The detailed description of the method of the construction of the nilpotent BRST charges for nonlinear algebras of constraints appearing in the description of the massless higher spin fields on the $AdS_D$ background is presented. It is shown that the corresponding BRST charge is not uniquely defined, but this ambiguity has no impact on the physical content of the theory.

[ { "created": "Tue, 4 Jun 2002 11:52:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Buchbinder", "I. L.", "" ], [ "Pashnev", "A.", "" ], [ "Tsulaia", "M.", "" ] ]

The detailed description of the method of the construction of the nilpotent BRST charges for nonlinear algebras of constraints appearing in the description of the massless higher spin fields on the $AdS_D$ background is presented. It is shown that the corresponding BRST charge is not uniquely defined, but this ambiguity has no impact on the physical content of the theory.

8.520107

5.971251

7.92876

5.54124

6.051095

6.400088

5.795619

6.552928

5.633832

8.412329

5.951037

5.987097

6.876969

6.250082

6.604609

6.552004

6.419426

6.259255

6.447781

6.637881

6.243795

hep-th/0109021

Romuald A. Janik

Exceptional boundary states at c=1

18 pages; v2 corrected assumptions (now weaker), results unchanged

Nucl.Phys.B618:675-688,2001

10.1016/S0550-3213(01)00486-2

null

hep-th cond-mat.stat-mech

null

We consider the CFT of a free boson compactified on a circle, such that the compactification radius $R$ is an irrational multiple of $R_{selfdual}$. Apart from the standard Dirichlet and Neumann boundary states, Friedan suggested [1] that an additional 1-parameter family of boundary states exists. These states break U(1) symmetry of the theory, but still preserve conformal invariance. In this paper we give an explicit construction of these states, show that they are uniquely determined by the Cardy-Lewellen sewing constraints, and we study the spectrum in the `open string channel', which is given here by a continous integral with a nonnegative measure on the space of conformal weights.

[ { "created": "Tue, 4 Sep 2001 11:14:25 GMT", "version": "v1" }, { "created": "Wed, 19 Sep 2001 12:08:06 GMT", "version": "v2" } ]

2010-11-19

[ [ "Janik", "Romuald A.", "" ] ]

We consider the CFT of a free boson compactified on a circle, such that the compactification radius $R$ is an irrational multiple of $R_{selfdual}$. Apart from the standard Dirichlet and Neumann boundary states, Friedan suggested [1] that an additional 1-parameter family of boundary states exists. These states break U(1) symmetry of the theory, but still preserve conformal invariance. In this paper we give an explicit construction of these states, show that they are uniquely determined by the Cardy-Lewellen sewing constraints, and we study the spectrum in the `open string channel', which is given here by a continous integral with a nonnegative measure on the space of conformal weights.

8.158029

8.669909

9.404037

8.620624

8.796227

8.666362

8.799808

8.654037

8.167879

10.670986

8.312469

8.029902

8.665249

8.003654

8.018458

8.064473

8.065848

7.958921

8.065001

8.987743

7.8088

hep-th/0512028

Jochen Zahn

Claus Doescher, Jochen Zahn

Infrared cutoffs and the adiabatic limit in noncommutative spacetime

19 pages

Phys.Rev. D73 (2006) 045024

10.1103/PhysRevD.73.045024

DESY 05-251, ZMP-HH/05-24

hep-th

null

We discuss appropriate infrared cutoffs and their adiabatic limit for field theories on the noncommutative Minkowski space in the Yang-Feldman formalism. In order to do this, we consider a mass term as interaction term. We show that an infrared cutoff can be defined quite analogously to the commutative case and that the adiabatic limit of the two-point function exists and coincides with the expectation, to all orders.

[ { "created": "Fri, 2 Dec 2005 13:16:02 GMT", "version": "v1" } ]

2009-11-11

[ [ "Doescher", "Claus", "" ], [ "Zahn", "Jochen", "" ] ]

We discuss appropriate infrared cutoffs and their adiabatic limit for field theories on the noncommutative Minkowski space in the Yang-Feldman formalism. In order to do this, we consider a mass term as interaction term. We show that an infrared cutoff can be defined quite analogously to the commutative case and that the adiabatic limit of the two-point function exists and coincides with the expectation, to all orders.

7.966864

7.360583

8.469145

6.953283

7.112967

6.560716

7.085257

7.273577

8.572814

9.070846

7.21035

7.056923

7.62279

7.18473

7.146615

7.037111

7.304577

7.041701

7.216836

7.625864

6.777138

hep-th/0012076

Andrew Chamblin

D. Brecher, A. Chamblin, H.S. Reall

AdS/CFT in the Infinite Momentum Frame

32 pages LaTeX. Corrected a typo, added a section on supersymmetry, comments on the implications of our analysis for the Randall-Sundrum scenario, and a brief discourse about free field theory and the ambiguity in the 2-point function

Nucl.Phys. B607 (2001) 155-190

10.1016/S0550-3213(01)00170-5

DTP/00/103, QMW-PH/00-15, MIT-CTP-3052

hep-th

null

This paper considers the spacetimes describing pp-waves propagating on extremal non-dilatonic branes. It is shown that an observer moving along a geodesic will experience infinite curvature at the horizon of the brane, which should therefore be regarded as singular. Taking the decoupling limit of these brane-wave spacetimes gives a pp-wave in AdS, the simplest example being the Kaigorodov spacetime. It has been conjectured that gravity in this spacetime is dual to a CFT in the infinite momentum frame with constant momentum density. If correct, this implies that the CFT must resolve the singularity of the bulk spacetime. Evidence in favour of this conjecture is presented. The unbroken conformal symmetries determine the scalar 2-point function up to an arbitrary function of one variable. However, an AdS/CFT calculation shows that this function is constant (to leading order in $1/N^2$) and the result is therefore the same as when the full conformal symmetry is unbroken. This paper also discusses a recently discovered Virasoro symmetry of metrics describing pp-waves in AdS and naked singularities in the Randall-Sundrum scenario.

[ { "created": "Fri, 8 Dec 2000 20:34:56 GMT", "version": "v1" }, { "created": "Fri, 9 Feb 2001 03:09:05 GMT", "version": "v2" }, { "created": "Thu, 22 Feb 2001 04:57:39 GMT", "version": "v3" } ]

2009-10-31

[ [ "Brecher", "D.", "" ], [ "Chamblin", "A.", "" ], [ "Reall", "H. S.", "" ] ]

This paper considers the spacetimes describing pp-waves propagating on extremal non-dilatonic branes. It is shown that an observer moving along a geodesic will experience infinite curvature at the horizon of the brane, which should therefore be regarded as singular. Taking the decoupling limit of these brane-wave spacetimes gives a pp-wave in AdS, the simplest example being the Kaigorodov spacetime. It has been conjectured that gravity in this spacetime is dual to a CFT in the infinite momentum frame with constant momentum density. If correct, this implies that the CFT must resolve the singularity of the bulk spacetime. Evidence in favour of this conjecture is presented. The unbroken conformal symmetries determine the scalar 2-point function up to an arbitrary function of one variable. However, an AdS/CFT calculation shows that this function is constant (to leading order in $1/N^2$) and the result is therefore the same as when the full conformal symmetry is unbroken. This paper also discusses a recently discovered Virasoro symmetry of metrics describing pp-waves in AdS and naked singularities in the Randall-Sundrum scenario.

7.830899

7.394275

8.88745

7.343055

8.106702

7.788326

7.476897

7.62689

7.087696

8.761192

7.534367

7.694233

7.96596

7.540152

7.622354

7.772445

7.68877

7.600797

7.39886

7.923619

7.749939

1809.10758

Prafulla Oak

Prafulla Oak and B. Sathiapalan

Holographic Beta functions for the Generalized Sine Gordon Theory

43 pages, 3 figures, PRD version

Phys. Rev. D 99, 046009 (2019)

10.1103/PhysRevD.99.046009

null

hep-th

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

The Sine Gordon theory is generalized to include several cosine terms. This is similar to the world sheet description of a string propagating in a tachyon background. This model is studied as a (boundary) 2d euclidean field theory and also using an $AdS_3$ holographic bulk dual. The beta functions for the cosine vertex of this modified theory are first computed in the boundary using techniques based on the exact RG. The beta functions are also computed holographically using position space and momentum space techniques. The results are in agreement with each other and with earlier computations. The beta functions of the field strength renormalization are computed in position space. They match with the earlier results in \cite{Oak:2017trw}.

[ { "created": "Thu, 27 Sep 2018 20:46:05 GMT", "version": "v1" }, { "created": "Sun, 10 Mar 2019 18:37:30 GMT", "version": "v2" } ]

2019-03-12

[ [ "Oak", "Prafulla", "" ], [ "Sathiapalan", "B.", "" ] ]

The Sine Gordon theory is generalized to include several cosine terms. This is similar to the world sheet description of a string propagating in a tachyon background. This model is studied as a (boundary) 2d euclidean field theory and also using an $AdS_3$ holographic bulk dual. The beta functions for the cosine vertex of this modified theory are first computed in the boundary using techniques based on the exact RG. The beta functions are also computed holographically using position space and momentum space techniques. The results are in agreement with each other and with earlier computations. The beta functions of the field strength renormalization are computed in position space. They match with the earlier results in \cite{Oak:2017trw}.

13.159064

12.663009

13.164813

12.314154

14.224178

14.125607

13.054866

11.708158

12.177926

16.396246

12.359053

12.301982

12.532748

12.166739

12.804737

12.593959

12.66958

12.451961

12.340517

13.364893

11.855539

hep-th/9801203

Marcia Knutt

M. E. Knutt-Wehlau and R.B. Mann

Super Black Hole from Cosmological Supergravity with a Massive Superparticle

7 pages, Latex

Phys.Lett. B435 (1998) 25-30

10.1016/S0370-2693(98)00796-5

McGill/98-01, WATPHYS-TH-98/01

hep-th gr-qc

null

We describe in superspace a classical theory of two dimensional $(1,1)$ cosmological dilaton supergravity coupled to a massive superparticle. We give an exact non-trivial superspace solution for the compensator superfield that describes the supergravity, and then use this solution to construct a model of a two-dimensional supersymmetric black hole.

[ { "created": "Thu, 29 Jan 1998 21:26:00 GMT", "version": "v1" } ]

2009-10-31

[ [ "Knutt-Wehlau", "M. E.", "" ], [ "Mann", "R. B.", "" ] ]

We describe in superspace a classical theory of two dimensional $(1,1)$ cosmological dilaton supergravity coupled to a massive superparticle. We give an exact non-trivial superspace solution for the compensator superfield that describes the supergravity, and then use this solution to construct a model of a two-dimensional supersymmetric black hole.

13.256598

8.755184

13.046792

10.75806

9.899734

10.423532

9.353469

9.728829

9.534635

12.724719

9.973671

10.867957

13.64546

11.665046

11.056843

11.858644

10.643039

11.119864

11.139458

12.640522

11.013715

hep-th/0103114

Peter Mayr

W. Lerche, P. Mayr, J. Walcher

A new kind of McKay correspondence from non-Abelian gauge theories

29 pages, harvmac(b), 2 figs

null

CERN-TH/2001-075

hep-th math.AG

null

The boundary chiral ring of a 2d gauged linear sigma model on a K\"ahler manifold $X$ classifies the topological D-brane sectors and the massless open strings between them. While it is determined at small volume by simple group theory, its continuation to generic volume provides highly non-trivial information about the $D$-branes on $X$, related to the derived category $D^\flat(X)$. We use this correspondence to elaborate on an extended notion of McKay correspondence that captures more general than orbifold singularities. As an illustration, we work out this new notion of McKay correspondence for a class of non-compact Calabi-Yau singularities related to Grassmannians.

[ { "created": "Wed, 14 Mar 2001 21:09:13 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lerche", "W.", "" ], [ "Mayr", "P.", "" ], [ "Walcher", "J.", "" ] ]

The boundary chiral ring of a 2d gauged linear sigma model on a K\"ahler manifold $X$ classifies the topological D-brane sectors and the massless open strings between them. While it is determined at small volume by simple group theory, its continuation to generic volume provides highly non-trivial information about the $D$-branes on $X$, related to the derived category $D^\flat(X)$. We use this correspondence to elaborate on an extended notion of McKay correspondence that captures more general than orbifold singularities. As an illustration, we work out this new notion of McKay correspondence for a class of non-compact Calabi-Yau singularities related to Grassmannians.

10.534264

9.965158

11.910837

9.18778

9.4291

9.584259

9.775119

9.547512

9.616196

12.622609

9.440567

9.100019

10.669868

9.097841

9.187456

9.025867

8.903819

9.000456

9.088594

10.54836

8.932711

2103.00275

Joao A. Silva

Four point functions in CFT's with slightly broken higher spin symmetry

Prepared for submission at JHEP

null

10.1007/JHEP05(2021)097

null

hep-th

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

We compute spinning four point functions in the quasi-fermionic three dimensional conformal field theory with slightly broken higher spin symmetry at finite t'Hooft coupling. More concretely, we obtain a formula for $\langle j_s j_{\tilde{0}} j_{\tilde{0}} j_{\tilde{0}} \rangle$, where $j_s$ is a higher spin current and $j_{\tilde{0}}$ is the scalar single trace operator. Our procedure consists in writing a plausible ansatz in Mellin space and using crossing, pseudo-conservation and Regge boundedness to fix all undetermined coefficients. Our method can potentially be generalised to compute all spinning four point functions in these theories.

[ { "created": "Sat, 27 Feb 2021 17:30:20 GMT", "version": "v1" }, { "created": "Fri, 12 Mar 2021 16:13:05 GMT", "version": "v2" }, { "created": "Tue, 13 Apr 2021 20:04:48 GMT", "version": "v3" } ]

2021-05-26

[ [ "Silva", "Joao A.", "" ] ]

We compute spinning four point functions in the quasi-fermionic three dimensional conformal field theory with slightly broken higher spin symmetry at finite t'Hooft coupling. More concretely, we obtain a formula for $\langle j_s j_{\tilde{0}} j_{\tilde{0}} j_{\tilde{0}} \rangle$, where $j_s$ is a higher spin current and $j_{\tilde{0}}$ is the scalar single trace operator. Our procedure consists in writing a plausible ansatz in Mellin space and using crossing, pseudo-conservation and Regge boundedness to fix all undetermined coefficients. Our method can potentially be generalised to compute all spinning four point functions in these theories.

7.961293

7.386278

7.516853

6.858184

6.507676

6.833354

6.888819

7.032102

6.645689

8.274467

6.583011

7.001658

7.354616

7.027466

6.975784

6.945767

6.986814

6.947087

6.837118

7.602944

6.7969

2104.11743

Seiji Terashima

Simple Bulk Reconstruction in AdS/CFT Correspondence

34 pages, 7 figures, v2: minor corrections, v3: minor corrections, a reference added, v4: various minor clarifications, a reference added, v5: discussion on AdS-Rindler reconstruction was modified

null

YITP-21-37

hep-th

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

In this paper, we show that the bulk reconstruction in the AdS/CFT correspondence is rather simple and has an intuitive picture, by showing that the HKLL bulk reconstruction formula can be simplified. We also reconstruct the wave packets in the bulk theory from the CFT primary operators. With these wave packets, we discuss the causality and duality constraints and find our picture is only the consistent one. Our picture of the bulk reconstruction can be applied to the asymptotic AdS spacetime.

[ { "created": "Fri, 23 Apr 2021 17:55:10 GMT", "version": "v1" }, { "created": "Sun, 23 May 2021 08:46:56 GMT", "version": "v2" }, { "created": "Mon, 14 Jun 2021 10:22:04 GMT", "version": "v3" }, { "created": "Fri, 4 Feb 2022 18:29:13 GMT", "version": "v4" }, { "created": "Wed, 20 Jul 2022 17:48:50 GMT", "version": "v5" } ]

2022-07-21

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

In this paper, we show that the bulk reconstruction in the AdS/CFT correspondence is rather simple and has an intuitive picture, by showing that the HKLL bulk reconstruction formula can be simplified. We also reconstruct the wave packets in the bulk theory from the CFT primary operators. With these wave packets, we discuss the causality and duality constraints and find our picture is only the consistent one. Our picture of the bulk reconstruction can be applied to the asymptotic AdS spacetime.

12.386065

10.60167

13.881169

10.909367

10.70587

11.116426

11.554962

11.349998

10.948981

14.54423

11.081202

10.931485

12.089805

11.412393

10.93892

10.909333

10.900244

11.001849

11.160595

12.181042

10.795704

hep-th/9306044

null

A. Koubek and G. Mussardo

On the Operator Content of the Sinh-Gordon Model

ISAS/EP/93/42, to appear in Phys. Lett. B

Phys.Lett. B311 (1993) 193-201

10.1016/0370-2693(93)90554-U

null

hep-th

null

We classify the operator content of local hermitian scalar operators in the Sinh-Gordon model by means of independent solutions of the form-factor bootstrap equations. The corresponding linear space is organized into a tower-like structure of dimension $n$ for the form factors $F_{2n}$ and $F_{2n-1}$. Analyzing the cluster property of the form factors, a particular class of these solutions can be identified with the matrix elements of the operators $e^{k g\phi}$. We also present the complete expression of the form factors of the elementary field $\phi(x)$ and the trace of the energy-momentum tensor $\Theta(x)$.

[ { "created": "Tue, 8 Jun 1993 10:01:27 GMT", "version": "v1" } ]

2009-10-22

[ [ "Koubek", "A.", "" ], [ "Mussardo", "G.", "" ] ]

We classify the operator content of local hermitian scalar operators in the Sinh-Gordon model by means of independent solutions of the form-factor bootstrap equations. The corresponding linear space is organized into a tower-like structure of dimension $n$ for the form factors $F_{2n}$ and $F_{2n-1}$. Analyzing the cluster property of the form factors, a particular class of these solutions can be identified with the matrix elements of the operators $e^{k g\phi}$. We also present the complete expression of the form factors of the elementary field $\phi(x)$ and the trace of the energy-momentum tensor $\Theta(x)$.

10.680059

11.109373

10.504506

8.785604

10.205029

10.105784

9.575999

9.096587

9.29352

10.439763

9.485655

9.515923

9.288016

9.248354

9.479164

9.401005

9.151192

9.4747

9.45778

9.812972

9.00912

1903.12201

Evan Berkowitz

Evan Berkowitz, William Donnelly, Sylvia Zhu

Superfluous Physics

No essential information

null

hep-th

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

A superweapon of modern physics superscribes a wide superset of phenomena, ranging from supernumerary rainbows to superfluidity and even possible supermultiplets.

[ { "created": "Thu, 28 Mar 2019 18:10:05 GMT", "version": "v1" } ]

2019-04-01

[ [ "Berkowitz", "Evan", "" ], [ "Donnelly", "William", "" ], [ "Zhu", "Sylvia", "" ] ]

A superweapon of modern physics superscribes a wide superset of phenomena, ranging from supernumerary rainbows to superfluidity and even possible supermultiplets.

55.042953

71.785507

49.742485

60.004982

52.184837

57.080315

77.218987

82.493675

48.693752

105.930191

57.979309

50.702747

47.091984

43.819729

45.826214

47.728436

48.874485

48.5163

44.751343

50.592911

51.777462

1008.3909

Konstadinos Sfetsos

Alexios P. Polychronakos, Konstadinos Sfetsos

High spin limits and non-abelian T-duality

24 pages; V2: NPB version, minor clarification

Nucl.Phys.B843:344-361,2011

10.1016/j.nuclphysb.2010.09.006

CCNY-HEP-10/5

hep-th math-ph math.MP

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

The action of the non-abelian T-dual of the WZW model is related to an appropriate gauged WZW action via a limiting procedure. We extend this type of equivalence to general sigma-models with non-abelian isometries and their non-abelian T-duals, focusing on Principal Chiral models. We reinforce and refine this equivalence by arguing that the non-abelian T-duals are the effective backgrounds describing states of an appropriate parent theory corresponding to divergently large highest weight representations. The proof involves carrying out a subtle limiting procedure in the group representations and relating them to appropriate limits in the corresponding backgrounds. We illustrate the general method by providing several non-trivial examples.

[ { "created": "Mon, 23 Aug 2010 20:00:46 GMT", "version": "v1" }, { "created": "Tue, 12 Oct 2010 08:17:01 GMT", "version": "v2" } ]

2011-03-28

[ [ "Polychronakos", "Alexios P.", "" ], [ "Sfetsos", "Konstadinos", "" ] ]

The action of the non-abelian T-dual of the WZW model is related to an appropriate gauged WZW action via a limiting procedure. We extend this type of equivalence to general sigma-models with non-abelian isometries and their non-abelian T-duals, focusing on Principal Chiral models. We reinforce and refine this equivalence by arguing that the non-abelian T-duals are the effective backgrounds describing states of an appropriate parent theory corresponding to divergently large highest weight representations. The proof involves carrying out a subtle limiting procedure in the group representations and relating them to appropriate limits in the corresponding backgrounds. We illustrate the general method by providing several non-trivial examples.

11.595782

11.649576

12.756619

10.683208

11.338906

11.426147

11.738656

11.110198

11.027005

13.456985

10.468932

10.612662

11.620655

10.907026

10.674472

10.604789

10.944348

10.652026

10.826909

11.725229

10.504453

1104.0164

Oswaldo Monteiro Del Cima

O.M. Del Cima

The Jackiw-Pi model and its symmetries

5 pages

J.Phys.A44:352001,2011

10.1088/1751-8113/44/35/352001

null

hep-th math-ph math.MP

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

The non-Abelian gauge model proposed by Jackiw and Pi, which generates an even-parity mass term in three space-time dimensions, is revisited in this letter. All the symmetries of the model are collected and established by means of BRS invariance and Slavnov-Taylor identity. The path for the perturbatively quantization of the Jackiw-Pi model, through the algebraic method of renormalization, is presented.

[ { "created": "Fri, 1 Apr 2011 13:19:52 GMT", "version": "v1" } ]

2011-08-25

[ [ "Del Cima", "O. M.", "" ] ]

The non-Abelian gauge model proposed by Jackiw and Pi, which generates an even-parity mass term in three space-time dimensions, is revisited in this letter. All the symmetries of the model are collected and established by means of BRS invariance and Slavnov-Taylor identity. The path for the perturbatively quantization of the Jackiw-Pi model, through the algebraic method of renormalization, is presented.

9.522981

7.791587

8.999115

7.520001

8.11166

7.603053

7.957001

7.769201

7.242549

10.391879

7.148961

7.87505

8.564543

7.775774

8.05227

7.994263

7.908892

7.604744

8.136658

8.510827

8.007177

hep-th/0606096

George Siopsis

George Koutsoumbas, Suphot Musiri, Eleftherios Papantonopoulos, George Siopsis

Quasi-normal Modes of Electromagnetic Perturbations of Four-Dimensional Topological Black Holes with Scalar Hair

v2: 19 pages, 2 figures, added references, improved discussion, to appear in JHEP

JHEP0610:006,2006

10.1088/1126-6708/2006/10/006

UTHET-06-0501

hep-th gr-qc

null

We study the perturbative behaviour of topological black holes with scalar hair. We calculate both analytically and numerically the quasi-normal modes of the electromagnetic perturbations. In the case of small black holes we find evidence of a second-order phase transition of a topological black hole to a hairy configuration.

[ { "created": "Sat, 10 Jun 2006 07:03:58 GMT", "version": "v1" }, { "created": "Thu, 14 Sep 2006 14:26:11 GMT", "version": "v2" } ]

2009-11-11

[ [ "Koutsoumbas", "George", "" ], [ "Musiri", "Suphot", "" ], [ "Papantonopoulos", "Eleftherios", "" ], [ "Siopsis", "George", "" ] ]

We study the perturbative behaviour of topological black holes with scalar hair. We calculate both analytically and numerically the quasi-normal modes of the electromagnetic perturbations. In the case of small black holes we find evidence of a second-order phase transition of a topological black hole to a hairy configuration.

7.850902

6.067082

6.300024

5.665714

5.626667

5.458867

6.149279

5.708787

6.192722

6.222247

6.237082

6.554063

6.600701

6.513947

6.870029

7.299611

6.912068

6.558691

6.62375

6.722342

6.826314

1702.06927

Adalto R. Gomes

F. C. Simas, Adalto R. Gomes, K. Z. Nobrega

Degenerate vacua to vacuumless model and $K\bar K$ collisions

11 pages, 5 figures

null

10.1016/j.physletb.2017.11.013

null

hep-th

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

In this work we investigate a $Z_2$ symmetric model of one scalar field $\phi$ in $(1,1)$ dimension. The model is characterized by a continuous transition from a potential $V(\phi)$ with two vacua to the vacuumless case. The model has kink and antikink solutions that minimize energy. Stability analysis are described by a Schr\"odinger-like equation with a potential that transits from a volcano-shape with no vibrational states (in the case of vacuumless limit) to a smooth valley with one vibrational state. We are interested on the structure of 2-bounce windows present in kink-antikink scattering processes. The standard mechanism of Campbell-Schonfeld-Wingate (CSW) requires the presence of one vibrational state for the occurrence of 2-bounce windows. We report that the effect of increasing the separation of vacua from the potential $V(\phi)$ has the consequence of trading some of the first 2-bounce windows predicted by the CSW mechanism by false 2-bounce windows. Another consequence is the appearance of false 2-bounce windows of zero-order.

[ { "created": "Wed, 22 Feb 2017 18:25:58 GMT", "version": "v1" } ]

2017-12-06

[ [ "Simas", "F. C.", "" ], [ "Gomes", "Adalto R.", "" ], [ "Nobrega", "K. Z.", "" ] ]

In this work we investigate a $Z_2$ symmetric model of one scalar field $\phi$ in $(1,1)$ dimension. The model is characterized by a continuous transition from a potential $V(\phi)$ with two vacua to the vacuumless case. The model has kink and antikink solutions that minimize energy. Stability analysis are described by a Schr\"odinger-like equation with a potential that transits from a volcano-shape with no vibrational states (in the case of vacuumless limit) to a smooth valley with one vibrational state. We are interested on the structure of 2-bounce windows present in kink-antikink scattering processes. The standard mechanism of Campbell-Schonfeld-Wingate (CSW) requires the presence of one vibrational state for the occurrence of 2-bounce windows. We report that the effect of increasing the separation of vacua from the potential $V(\phi)$ has the consequence of trading some of the first 2-bounce windows predicted by the CSW mechanism by false 2-bounce windows. Another consequence is the appearance of false 2-bounce windows of zero-order.

10.780693

10.16609

12.169259

10.061787

10.183401

10.723787

10.05903

9.91523

9.991564

12.603352

9.932268

9.502403

10.733058

10.153879

9.956797

9.709195

10.082001

9.678469

10.066249

10.334447

9.798206

1511.01817

David Pirtskhalava

David Pirtskhalava, Luca Santoni, Enrico Trincherini

Constraints on Single-Field Inflation

19+10 pages, 6 figures

null

10.1088/1475-7516/2016/06/051

null

hep-th astro-ph.CO

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

Many alternatives to canonical slow-roll inflation have been proposed over the years, one of the main motivations being to have a model, capable of generating observable values of non-Gaussianity. In this work, we (re-)explore the physical implications of a great majority of such models within a single, effective field theory framework (including novel models with large non-Gaussianity discussed for the first time below.) The constraints we apply---both theoretical and experimental---are found to be rather robust, determined to a great extent by just three parameters: the coefficients of the quadratic EFT operators $(\delta N)^2$ and $\delta N \delta E$, and the slow-roll parameter $\varepsilon$. This allows to significantly limit the majority of single-field alternatives to canonical slow-roll inflation. While the existing data still leaves some room for most of the considered models, the situation would change dramatically if the current upper limit on the tensor-to-scalar ratio decreased down to $r < 10^{-2}$. Apart from inflationary models driven by plateau-like potentials, the single-field model that would have a chance of surviving this bound is the recently proposed slow-roll inflation with weakly-broken galileon symmetry. In contrast to \textit{canonical} slow-roll inflation, the latter model can support $r < 10^{-2}$ even if driven by a convex potential, as well as generate observable values for the amplitude of non-Gaussianity.

[ { "created": "Thu, 5 Nov 2015 17:13:41 GMT", "version": "v1" } ]

2016-07-06

[ [ "Pirtskhalava", "David", "" ], [ "Santoni", "Luca", "" ], [ "Trincherini", "Enrico", "" ] ]

Many alternatives to canonical slow-roll inflation have been proposed over the years, one of the main motivations being to have a model, capable of generating observable values of non-Gaussianity. In this work, we (re-)explore the physical implications of a great majority of such models within a single, effective field theory framework (including novel models with large non-Gaussianity discussed for the first time below.) The constraints we apply---both theoretical and experimental---are found to be rather robust, determined to a great extent by just three parameters: the coefficients of the quadratic EFT operators $(\delta N)^2$ and $\delta N \delta E$, and the slow-roll parameter $\varepsilon$. This allows to significantly limit the majority of single-field alternatives to canonical slow-roll inflation. While the existing data still leaves some room for most of the considered models, the situation would change dramatically if the current upper limit on the tensor-to-scalar ratio decreased down to $r < 10^{-2}$. Apart from inflationary models driven by plateau-like potentials, the single-field model that would have a chance of surviving this bound is the recently proposed slow-roll inflation with weakly-broken galileon symmetry. In contrast to \textit{canonical} slow-roll inflation, the latter model can support $r < 10^{-2}$ even if driven by a convex potential, as well as generate observable values for the amplitude of non-Gaussianity.

9.709812

10.289978

10.340928

9.866296

10.598897

10.485162

11.189453

10.154282

10.090231

10.4252

9.850466

9.492929

9.553503

9.588035

9.559739

9.492958

9.401776

9.581106

9.413525

9.755569

9.346147

0709.2388

Danny Birmingham

Danny Birmingham and Susan Mokhtari

Stability of Topological Black Holes

20 pages, Latex, v2 refined analysis of boundary conditions in dimensions 4,5,6, additional references

Phys.Rev.D76:124039,2007

10.1103/PhysRevD.76.124039

null

hep-th gr-qc

null

We explore the classical stability of topological black holes in d-dimensional anti-de Sitter spacetime, where the horizon is an Einstein manifold of negative curvature. According to the gauge invariant formalism of Ishibashi and Kodama, gravitational perturbations are classified as being of scalar, vector, or tensor type, depending on their transformation properties with respect to the horizon manifold. For the massless black hole, we show that the perturbation equations for all modes can be reduced to a simple scalar field equation. This equation is exactly solvable in terms of hypergeometric functions, thus allowing an exact analytic determination of potential gravitational instabilities. We establish a necessary and sufficient condition for stability, in terms of the eigenvalues $\lambda$ of the Lichnerowicz operator on the horizon manifold, namely $\lambda \geq -4(d-2)$. For the case of negative mass black holes, we show that a sufficient condition for stability is given by $\lambda \geq -2(d-3)$.

[ { "created": "Fri, 14 Sep 2007 20:55:24 GMT", "version": "v1" }, { "created": "Wed, 28 Nov 2007 21:40:53 GMT", "version": "v2" } ]

2008-11-26

[ [ "Birmingham", "Danny", "" ], [ "Mokhtari", "Susan", "" ] ]

We explore the classical stability of topological black holes in d-dimensional anti-de Sitter spacetime, where the horizon is an Einstein manifold of negative curvature. According to the gauge invariant formalism of Ishibashi and Kodama, gravitational perturbations are classified as being of scalar, vector, or tensor type, depending on their transformation properties with respect to the horizon manifold. For the massless black hole, we show that the perturbation equations for all modes can be reduced to a simple scalar field equation. This equation is exactly solvable in terms of hypergeometric functions, thus allowing an exact analytic determination of potential gravitational instabilities. We establish a necessary and sufficient condition for stability, in terms of the eigenvalues $\lambda$ of the Lichnerowicz operator on the horizon manifold, namely $\lambda \geq -4(d-2)$. For the case of negative mass black holes, we show that a sufficient condition for stability is given by $\lambda \geq -2(d-3)$.

5.155925

4.756344

5.201467

4.695971

4.828535

5.071651

5.001318

5.164773

4.779191

5.425641

4.897815

4.869009

4.940004

4.814557

4.882881

4.886787

4.916139

4.963933

4.849291

4.905971

4.837122

2212.13208

Sergey Solodukhin N.

Yohan Potaux, Debajyoti Sarkar and Sergey N. Solodukhin

Space-time structure, asymptotic radiation and information recovery for a quantum hybrid state

15 pages, 3 figures

null

10.1103/PhysRevLett.130.261501

null

hep-th gr-qc

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

A hybrid quantum state is a combination of the Hartle-Hawking state for the physical particles and the Boulware state for the non-physical ones (such as ghosts), as was introduced in our earlier work [1]. We present a two-dimensional example, based on the RST model, when the corresponding back-reacted spacetime is a causal diamond, geodesically complete and free of the curvature singularities. In the static case it shows no presence of the horizon while it has a wormhole structure mimicking the black hole. In the dynamical case, perturbed by a pulse of classical matter, there appears an apparent horion while the spacetime remains to be a regular causal diamond. We compute the asymptotic radiation both in the static and dynamic case. We define entropy of the asymptotic radiation and demonstrate that as a function of the retarded time it shows the behavior typical for the Page curve. We suggest interpretation of our findings in terms of correlations in the virtual pairs of physical and non-physical particles spontaneously created in the spacetime.

[ { "created": "Mon, 26 Dec 2022 16:32:45 GMT", "version": "v1" } ]

2023-07-12

[ [ "Potaux", "Yohan", "" ], [ "Sarkar", "Debajyoti", "" ], [ "Solodukhin", "Sergey N.", "" ] ]

A hybrid quantum state is a combination of the Hartle-Hawking state for the physical particles and the Boulware state for the non-physical ones (such as ghosts), as was introduced in our earlier work [1]. We present a two-dimensional example, based on the RST model, when the corresponding back-reacted spacetime is a causal diamond, geodesically complete and free of the curvature singularities. In the static case it shows no presence of the horizon while it has a wormhole structure mimicking the black hole. In the dynamical case, perturbed by a pulse of classical matter, there appears an apparent horion while the spacetime remains to be a regular causal diamond. We compute the asymptotic radiation both in the static and dynamic case. We define entropy of the asymptotic radiation and demonstrate that as a function of the retarded time it shows the behavior typical for the Page curve. We suggest interpretation of our findings in terms of correlations in the virtual pairs of physical and non-physical particles spontaneously created in the spacetime.

11.917544

10.350652

11.2694

10.049986

10.660964

11.165798

11.192857

10.632463

10.903519

12.41831

10.399436

10.599033

10.581458

10.418311

10.691387

10.820617

10.58406

10.385248

10.556744

10.990647

10.510859

1311.6313

A. Yu. Petrov

C. F. Farias, M. Gomes, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva

On the effective potential, Horava-Lifshitz-like theories and finite temperature

15 pages, minor corrections in references

Phys. Rev. D 89, 025014 (2014)

10.1103/PhysRevD.89.025014

null

hep-th

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

We calculate the one-loop effective potential at finite temperature for the Horava-Lifshitz-like QED and Yukawa-like theories for arbitrary values of the critical exponent and the space-time dimension. Additional remarks on the zero temperature situation are also presented.

[ { "created": "Mon, 25 Nov 2013 14:17:16 GMT", "version": "v1" }, { "created": "Wed, 27 Nov 2013 13:03:46 GMT", "version": "v2" } ]

2014-01-29

[ [ "Farias", "C. F.", "" ], [ "Gomes", "M.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ], [ "da Silva", "A. J.", "" ] ]

We calculate the one-loop effective potential at finite temperature for the Horava-Lifshitz-like QED and Yukawa-like theories for arbitrary values of the critical exponent and the space-time dimension. Additional remarks on the zero temperature situation are also presented.

13.348359

8.554854

11.36125

9.448129

10.791103

9.452135

9.320839

9.782441

9.379521

10.408252

9.632859

10.430805

11.896565

10.653656

10.222095

10.532225

10.6913

11.128625

10.829268

11.69598

10.520144

hep-th/9710027

Argurio Riccardo

R. Argurio, L. Houart

Little Theories in Six and Seven Dimensions

23 pages, LaTeX, no figures; references added

Nucl.Phys. B517 (1998) 205-226

10.1016/S0550-3213(98)00095-9

ULB-TH-97/19

hep-th

null

We discuss theories with 16 and 8 supercharges in 6 and 7 dimensions. These theories are defined as world-volume theories of 5- and 6-branes of type II and M theories, in the limit in which bulk modes decouple. We analyze in detail the spectrum of BPS extended objects of these theories, and show that the 6 dimensional ones can be interpreted as little (non-critical) string theories. The little 5-branes of the 6 dimensional theories with 16 supercharges are used to find new string theories with 8 supercharges, which have additional group structure. We describe the web of dualities relating all these theories. We show that the theories with 16 supercharges can be used for a Matrix description of M-theory on T^6 in the general case, and that they also reproduce Matrix theory on T^5 and T^4 in some particular limit.

[ { "created": "Thu, 2 Oct 1997 19:04:40 GMT", "version": "v1" }, { "created": "Fri, 10 Oct 1997 08:37:31 GMT", "version": "v2" } ]

2009-10-30

[ [ "Argurio", "R.", "" ], [ "Houart", "L.", "" ] ]

We discuss theories with 16 and 8 supercharges in 6 and 7 dimensions. These theories are defined as world-volume theories of 5- and 6-branes of type II and M theories, in the limit in which bulk modes decouple. We analyze in detail the spectrum of BPS extended objects of these theories, and show that the 6 dimensional ones can be interpreted as little (non-critical) string theories. The little 5-branes of the 6 dimensional theories with 16 supercharges are used to find new string theories with 8 supercharges, which have additional group structure. We describe the web of dualities relating all these theories. We show that the theories with 16 supercharges can be used for a Matrix description of M-theory on T^6 in the general case, and that they also reproduce Matrix theory on T^5 and T^4 in some particular limit.

7.323313

6.615978

8.718057

7.092692

6.865387

6.79906

6.768834

6.91437

6.774463

8.885817

7.061582

7.007349

7.63656

7.19685

7.101732

7.033384

6.993421

7.1723

7.093189

7.607282

7.039599

1302.1652

Jeong-Hyuck Park

Jeong-Hyuck Park and Yoonji Suh

U-geometry : SL(5)

1+26 pages, minor change, published version; v3 numerical errors in (5.8), (5.9) corrected

JHEP 04 (2013) 147

10.1007/JHEP04(2013)147

null

hep-th math.DG

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

Recently Berman and Perry constructed a four-dimensional M-theory effective action which manifests SL(5) U-duality. Here we propose an underlying differential geometry of it, under the name `SL(5) U-geometry' which generalizes the ordinary Riemannian geometry in an SL(5) compatible manner. We introduce a `semi-covariant' derivative that can be converted into fully covariant derivatives after anti-symmetrizing or contracting the SL(5) vector indices appropriately. We also derive fully covariant scalar and Ricci-like curvatures which constitute the effective action as well as the equation of motion.

[ { "created": "Thu, 7 Feb 2013 07:17:31 GMT", "version": "v1" }, { "created": "Wed, 17 Apr 2013 22:50:24 GMT", "version": "v2" }, { "created": "Tue, 12 Nov 2013 12:11:34 GMT", "version": "v3" } ]

2013-11-13

[ [ "Park", "Jeong-Hyuck", "" ], [ "Suh", "Yoonji", "" ] ]

Recently Berman and Perry constructed a four-dimensional M-theory effective action which manifests SL(5) U-duality. Here we propose an underlying differential geometry of it, under the name `SL(5) U-geometry' which generalizes the ordinary Riemannian geometry in an SL(5) compatible manner. We introduce a `semi-covariant' derivative that can be converted into fully covariant derivatives after anti-symmetrizing or contracting the SL(5) vector indices appropriately. We also derive fully covariant scalar and Ricci-like curvatures which constitute the effective action as well as the equation of motion.

12.14206

11.488756

13.548613

11.28793

11.37853

11.862041

11.339833

11.735984

10.783748

14.114223

10.860667

10.736799

11.540104

10.962269

11.18111

11.253993

10.841345

11.315818

10.671891

11.975095

10.749242

1501.00064

Masahide Manabe

Stringy Instanton Counting and Topological Strings

37 pages, 3 figures. v2: minor corrections and references added. v3: minor changes, appendix D added and references added

null

hep-th

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

We study the stringy instanton partition function of four dimensional ${\cal N}=2$ $U(N)$ supersymmetric gauge theory which was obtained by Bonelli et al in 2013. In type IIB string theory on $\mathbb{C}^2\times T^*\mathbb{P}^1\times \mathbb{C}$, the stringy $U(N)$ instantons of charge $k$ are described by $k$ D1-branes wrapping around the $\mathbb{P}^1$ bound to $N$ D5-branes on $\mathbb{C}^2\times \mathbb{P}^1$. The KK corrections induced by compactification of the $\mathbb{P}^1$ give the stringy corrections. We find a relation between the stringy instanton partition function whose quantum stringy corrections have been removed and the K-theoretic instanton partition function, or by geometric engineering, the refined topological A-model partition function on a local toric Calabi-Yau threefold. We also study the quantum stringy corrections in the stringy instanton partition function which is not captured by the refined topological strings.

[ { "created": "Wed, 31 Dec 2014 02:08:09 GMT", "version": "v1" }, { "created": "Sun, 18 Jan 2015 19:41:47 GMT", "version": "v2" }, { "created": "Sun, 19 Jul 2015 00:40:04 GMT", "version": "v3" } ]

2015-07-21

[ [ "Manabe", "Masahide", "" ] ]

We study the stringy instanton partition function of four dimensional ${\cal N}=2$ $U(N)$ supersymmetric gauge theory which was obtained by Bonelli et al in 2013. In type IIB string theory on $\mathbb{C}^2\times T^*\mathbb{P}^1\times \mathbb{C}$, the stringy $U(N)$ instantons of charge $k$ are described by $k$ D1-branes wrapping around the $\mathbb{P}^1$ bound to $N$ D5-branes on $\mathbb{C}^2\times \mathbb{P}^1$. The KK corrections induced by compactification of the $\mathbb{P}^1$ give the stringy corrections. We find a relation between the stringy instanton partition function whose quantum stringy corrections have been removed and the K-theoretic instanton partition function, or by geometric engineering, the refined topological A-model partition function on a local toric Calabi-Yau threefold. We also study the quantum stringy corrections in the stringy instanton partition function which is not captured by the refined topological strings.

4.370161

4.860251

5.505809

4.655432

4.79634

4.951215

4.708776

4.603417

4.360705

5.83887

4.658978

4.548545

4.716942

4.474466

4.409871

4.634638

4.560419

4.479837

4.607359

4.775116

4.440903

2204.00123

Viola Gattus

Kieran Finn, Viola Gattus, Sotirios Karamitsos, Apostolos Pilaftsis

Geometrising the Micro-Cosmos on a Supermanifold

21 pages; to be submitted to Proceedings of Science

null

hep-th hep-ph

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

For more than half a century, covariant and differential geometric methods have been playing a central role in the development of Quantum Field Theory (QFT). After a brief historic overview of the major scientific achievements using these methods, we will focus on the covariant and differential geometric formalism originally proposed by Vilkovisky and DeWitt (VDW). We discuss recent developments made in addressing the uniqueness of the path-integral measure of the VDW effective action, and so address the problem of quantum frame dependence in cosmologically relevant scalar-tensor theories beyond the classical approximation. Particular attention will be drawn to a long-standing problem concerning the obstacles that the VDW formalism was facing from its original conception in describing generic QFTs that include fermions. We show how in addition to bosons the VDW effective action can be extended to supermanifolds to include fermions. The so-extended formulation appears to be very promising for a complete geometrisation of realistic theories of micro-cosmos, such as the Standard Model and its gravitational sector.

[ { "created": "Thu, 31 Mar 2022 22:28:11 GMT", "version": "v1" }, { "created": "Wed, 6 Apr 2022 08:59:45 GMT", "version": "v2" }, { "created": "Fri, 22 Apr 2022 15:33:22 GMT", "version": "v3" } ]

2022-04-25

[ [ "Finn", "Kieran", "" ], [ "Gattus", "Viola", "" ], [ "Karamitsos", "Sotirios", "" ], [ "Pilaftsis", "Apostolos", "" ] ]

For more than half a century, covariant and differential geometric methods have been playing a central role in the development of Quantum Field Theory (QFT). After a brief historic overview of the major scientific achievements using these methods, we will focus on the covariant and differential geometric formalism originally proposed by Vilkovisky and DeWitt (VDW). We discuss recent developments made in addressing the uniqueness of the path-integral measure of the VDW effective action, and so address the problem of quantum frame dependence in cosmologically relevant scalar-tensor theories beyond the classical approximation. Particular attention will be drawn to a long-standing problem concerning the obstacles that the VDW formalism was facing from its original conception in describing generic QFTs that include fermions. We show how in addition to bosons the VDW effective action can be extended to supermanifolds to include fermions. The so-extended formulation appears to be very promising for a complete geometrisation of realistic theories of micro-cosmos, such as the Standard Model and its gravitational sector.

11.002104

12.268257

11.175031

10.574603

11.780771

11.417928

10.660308

10.713423

10.905351

12.428511

10.626101

10.474402

10.393723

10.296495

10.559566

10.955128

10.764104

10.728207

10.401134

10.729247

10.621118

2203.05313

Peter M. Lavrov

I.L. Buchbinder, P.M. Lavrov

Generalized canonical approach to deformation problem in gauge theories

11 pages, v2: minor improvements, v3: refs added, v4: title changed, published version

Eur. Phys. J. Plus 138 (2023) 512-1-8

10.1140/epjp/s13360-023-04144-5

null

hep-th math-ph math.MP

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

We develop a general approach to constructing a deformation that describes the mapping of any dynamical system with irreducible first-class constraints in the phase space into another dynamical system with first-class constraints. It is shown that such a deformation problem can be efficiently explored in the framework of the Batalin-Fradkin-Vilkovisky (BFV) formalism. The basic objects of this formalism are the BRST-BFV charge and a generalized Hamiltonian that satisfy the defining equations in the extended phase space in terms of (super)Poisson brackets. General solution to the deformation problem is found in terms of a (super)canonical transformation with a special generating function which is explicitly established. It is proved that this generating function is determined by a single arbitrary function which depends only on coordinates of initial dynamical system. In principle, such a function may be non-local, but the deformed theory may have a local sector. To illustrate the developed approach, we have constructed a non-local deformation of the Abelian gauge theory into a non-local non-Abelian gauge theory whose local sector coincides with the standard Yang-Mills theory.

[ { "created": "Thu, 10 Mar 2022 11:56:38 GMT", "version": "v1" }, { "created": "Thu, 18 Aug 2022 06:26:07 GMT", "version": "v2" }, { "created": "Sun, 29 Jan 2023 02:43:33 GMT", "version": "v3" }, { "created": "Thu, 15 Jun 2023 08:33:18 GMT", "version": "v4" } ]

2023-06-16

[ [ "Buchbinder", "I. L.", "" ], [ "Lavrov", "P. M.", "" ] ]

We develop a general approach to constructing a deformation that describes the mapping of any dynamical system with irreducible first-class constraints in the phase space into another dynamical system with first-class constraints. It is shown that such a deformation problem can be efficiently explored in the framework of the Batalin-Fradkin-Vilkovisky (BFV) formalism. The basic objects of this formalism are the BRST-BFV charge and a generalized Hamiltonian that satisfy the defining equations in the extended phase space in terms of (super)Poisson brackets. General solution to the deformation problem is found in terms of a (super)canonical transformation with a special generating function which is explicitly established. It is proved that this generating function is determined by a single arbitrary function which depends only on coordinates of initial dynamical system. In principle, such a function may be non-local, but the deformed theory may have a local sector. To illustrate the developed approach, we have constructed a non-local deformation of the Abelian gauge theory into a non-local non-Abelian gauge theory whose local sector coincides with the standard Yang-Mills theory.

7.523774

7.06881

7.526203

6.908635

6.863914

6.797456

7.070014

6.62767

6.5987

7.535495

6.878059

7.036444

7.267082

6.982243

7.099991

6.988746

6.988968

6.939469

6.847785

7.233564

6.943521

hep-th/9612067

Mahmoud Nikbakht Tehrani

M. Nikbakht-Tehrani

On the Calabi-Yau Phase of (0,2) Models

LaTex; 22 pages, the last part of the concluding section has been modified

Nucl.Phys. B491 (1997) 279-303

10.1016/S0550-3213(97)00090-4

TUW-96-30

hep-th

null

We study the Calabi-Yau phase of a certain class of (0,2) models. These are conjectured to be equivalent to exact (0,2) superconformal field theories which have been constructed recently. Using the methods of toric geometry we discuss in a few examples the problem of resolving the singularities of such models and calculate the Euler characteristic of the corresponding gauge bundles.

[ { "created": "Fri, 6 Dec 1996 12:24:48 GMT", "version": "v1" }, { "created": "Wed, 11 Dec 1996 10:08:46 GMT", "version": "v2" } ]

2009-10-30

[ [ "Nikbakht-Tehrani", "M.", "" ] ]

We study the Calabi-Yau phase of a certain class of (0,2) models. These are conjectured to be equivalent to exact (0,2) superconformal field theories which have been constructed recently. Using the methods of toric geometry we discuss in a few examples the problem of resolving the singularities of such models and calculate the Euler characteristic of the corresponding gauge bundles.

8.085435

7.314735

8.866719

7.208268

7.840831

6.83055

7.693973

7.32856

7.09004

10.251161

7.173848

7.422091

9.261598

7.776621

7.831405

7.873989

7.462232

7.455708

7.690681

8.522598

7.534063

hep-th/9308083

David R. Morrison

Philip Candelas, Xenia de la Ossa, Anamaria Font, Sheldon Katz and David R. Morrison

Mirror Symmetry for Two Parameter Models -- I

57 pages, plain TeX with PostScript figures (minor corrections; added missing table and figure)

Nucl.Phys. B416 (1994) 481-538

10.1016/0550-3213(94)90322-0

CERN-TH.6884/93, UTTG-15-93, NEIP-93-005, OSU Math 1993-1

hep-th alg-geom math.AG

null

We study, by means of mirror symmetry, the quantum geometry of the K\"ahler-class parameters of a number of Calabi-Yau manifolds that have $b_{11}=2$. Our main interest lies in the structure of the moduli space and in the loci corresponding to singular models. This structure is considerably richer when there are two parameters than in the various one-parameter models that have been studied hitherto. We describe the intrinsic structure of the point in the (compactification of the) moduli space that corresponds to the large complex structure or classical limit. The instanton expansions are of interest owing to the fact that some of the instantons belong to families with continuous parameters. We compute the Yukawa couplings and their expansions in terms of instantons of genus zero. By making use of recent results of Bershadsky et al. we compute also the instanton numbers for instantons of genus one. For particular values of the parameters the models become birational to certain models with one parameter. The compactification divisor of the moduli space thus contains copies of the moduli spaces of one parameter models. Our discussion proceeds via the particular models $\P_4^{(1,1,2,2,2)}[8]$ and $\P_4^{(1,1,2,2,6)}[12]$. Another example, $\P_4^{(1,1,1,6,9)}[18]$, that is somewhat different is the subject of a companion paper.

[ { "created": "Wed, 18 Aug 1993 01:51:15 GMT", "version": "v1" }, { "created": "Wed, 25 Aug 1993 22:22:27 GMT", "version": "v2" } ]

2009-10-22

[ [ "Candelas", "Philip", "" ], [ "de la Ossa", "Xenia", "" ], [ "Font", "Anamaria", "" ], [ "Katz", "Sheldon", "" ], [ "Morrison", "David R.", "" ] ]

We study, by means of mirror symmetry, the quantum geometry of the K\"ahler-class parameters of a number of Calabi-Yau manifolds that have $b_{11}=2$. Our main interest lies in the structure of the moduli space and in the loci corresponding to singular models. This structure is considerably richer when there are two parameters than in the various one-parameter models that have been studied hitherto. We describe the intrinsic structure of the point in the (compactification of the) moduli space that corresponds to the large complex structure or classical limit. The instanton expansions are of interest owing to the fact that some of the instantons belong to families with continuous parameters. We compute the Yukawa couplings and their expansions in terms of instantons of genus zero. By making use of recent results of Bershadsky et al. we compute also the instanton numbers for instantons of genus one. For particular values of the parameters the models become birational to certain models with one parameter. The compactification divisor of the moduli space thus contains copies of the moduli spaces of one parameter models. Our discussion proceeds via the particular models $\P_4^{(1,1,2,2,2)}[8]$ and $\P_4^{(1,1,2,2,6)}[12]$. Another example, $\P_4^{(1,1,1,6,9)}[18]$, that is somewhat different is the subject of a companion paper.

7.445477

7.757585

9.218333

7.656726

8.278989

8.135995

8.119538

8.201093

7.565929

9.497696

7.572915

7.36424

8.575163

7.374178

7.440711

7.568011

7.494184

7.354816

7.651055

8.373413

7.50779

hep-th/0302006

Alon Faraggi

David J. Clements, Alon E. Faraggi

Open Descendants of NAHE-based free fermionic and Type I Z2^n models

43 pages. Standard LaTeX. 3 figures. Substantial revisions

Int.J.Mod.Phys.A19:2931-2970,2004

10.1142/S0217751X04018464

OUTP-03-04P

hep-th hep-ph

null

The NAHE-set, that underlies the realistic free fermionic models, corresponds to Z2XZ2 orbifold at an enhanced symmetry point, with (h_{11},h_{21})=(27,3). Alternatively, a manifold with the same data is obtained by starting with a Z2XZ2 orbifold at a generic point on the lattice and adding a freely acting Z2 involution. In this paper we study type I orientifolds on the manifolds that underly the NAHE-based models by incorporating such freely acting shifts. We present new models in the Type I vacuum which are modulated by Z2^n for n=2,3. In the case of n=2, the Z2XZ2 structure is a composite orbifold Kaluza-Klein shift arrangement. The partition function provides a simpler spectrum with chiral matter. For n=3, the case discussed is a Z2 modulation of the T6/(Z2 X Z2) spectrum. The additional projection shows an enhanced closed and open sector with chiral matter. The brane stacks are correspondingly altered from those which are present in the Z2 X Z2 orbifold. In addition, we discuss the models arising from the open sector with and without discrete torsion.

[ { "created": "Sat, 1 Feb 2003 15:48:28 GMT", "version": "v1" }, { "created": "Thu, 25 Sep 2003 19:37:17 GMT", "version": "v2" } ]

2011-07-19

[ [ "Clements", "David J.", "" ], [ "Faraggi", "Alon E.", "" ] ]

The NAHE-set, that underlies the realistic free fermionic models, corresponds to Z2XZ2 orbifold at an enhanced symmetry point, with (h_{11},h_{21})=(27,3). Alternatively, a manifold with the same data is obtained by starting with a Z2XZ2 orbifold at a generic point on the lattice and adding a freely acting Z2 involution. In this paper we study type I orientifolds on the manifolds that underly the NAHE-based models by incorporating such freely acting shifts. We present new models in the Type I vacuum which are modulated by Z2^n for n=2,3. In the case of n=2, the Z2XZ2 structure is a composite orbifold Kaluza-Klein shift arrangement. The partition function provides a simpler spectrum with chiral matter. For n=3, the case discussed is a Z2 modulation of the T6/(Z2 X Z2) spectrum. The additional projection shows an enhanced closed and open sector with chiral matter. The brane stacks are correspondingly altered from those which are present in the Z2 X Z2 orbifold. In addition, we discuss the models arising from the open sector with and without discrete torsion.

13.003503

12.192515

13.645633

11.175351

12.562276

12.206226

12.479897

11.425986

11.793293

14.518807

12.137079

11.641478

13.121932

12.213252

12.030472

12.155938

12.155918

12.249166

12.018299

13.114983

12.16135

hep-th/0605207

Pavel Buividovich

P. V. Buividovich, V. I. Kuvshinov

Kramers-Moyall cumulant expansion for the probability distribution of parallel transporters in quantum gauge fields

7 pages

Phys.Rev. D73 (2006) 094015

10.1103/PhysRevD.73.094015

null

hep-th

null

A general equation for the probability distribution of parallel transporters on the gauge group manifold is derived using the cumulant expansion theorem. This equation is shown to have a general form known as the Kramers-Moyall cumulant expansion in the theory of random walks, the coefficients of the expansion being directly related to nonperturbative cumulants of the shifted curvature tensor. In the limit of a gaussian-dominated QCD vacuum the obtained equation reduces to the well-known heat kernel equation on the group manifold.

[ { "created": "Sun, 21 May 2006 07:37:41 GMT", "version": "v1" } ]

2007-05-23

[ [ "Buividovich", "P. V.", "" ], [ "Kuvshinov", "V. I.", "" ] ]

A general equation for the probability distribution of parallel transporters on the gauge group manifold is derived using the cumulant expansion theorem. This equation is shown to have a general form known as the Kramers-Moyall cumulant expansion in the theory of random walks, the coefficients of the expansion being directly related to nonperturbative cumulants of the shifted curvature tensor. In the limit of a gaussian-dominated QCD vacuum the obtained equation reduces to the well-known heat kernel equation on the group manifold.

14.877022

15.178401

14.857212

13.712788

15.337005

15.328856

14.42494

15.874413

13.586971

15.675403

13.473284

12.949262

13.378148

13.368913

13.555589

13.791547

12.875309

14.075782

13.097609

13.194139

13.516075

2207.07409

Voja Radovanovic

Stefan Djordjevi\'c, Aleksandra Go\v{c}anin, Dragoljub Go\v{c}anin and Voja Radovanovi\'c

Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity

11 pages, 4 figures

Phys. Rev. D 106, 105015 (2022)

10.1103/PhysRevD.106.105015

null

hep-th

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

As a contribution to the subject of the information loss paradox in (1+1)-dimensional gravitational systems, we study a model of (1+1)-dimensional dilaton gravity derived from the four-dimensional Einstein-Hilbert action by dimensional reduction. The reduced action involves the cosmological constant and admits black hole solutions. After including the back-reaction of quantum fields to 1-loop order, we solve the semi-classical field equations perturbatively and compute the quantum correction to the Hawking temperature. We consider the quantum extremal surface approach and invoke the ``island rule'' to compute the fine-grained entropy of the Hawking radiation for an eternal Schwarzschild black hole and demonstrate that it follows the unitary Page curve.

[ { "created": "Fri, 15 Jul 2022 11:31:32 GMT", "version": "v1" } ]

2023-10-10

[ [ "Djordjević", "Stefan", "" ], [ "Gočanin", "Aleksandra", "" ], [ "Gočanin", "Dragoljub", "" ], [ "Radovanović", "Voja", "" ] ]

As a contribution to the subject of the information loss paradox in (1+1)-dimensional gravitational systems, we study a model of (1+1)-dimensional dilaton gravity derived from the four-dimensional Einstein-Hilbert action by dimensional reduction. The reduced action involves the cosmological constant and admits black hole solutions. After including the back-reaction of quantum fields to 1-loop order, we solve the semi-classical field equations perturbatively and compute the quantum correction to the Hawking temperature. We consider the quantum extremal surface approach and invoke the ``island rule'' to compute the fine-grained entropy of the Hawking radiation for an eternal Schwarzschild black hole and demonstrate that it follows the unitary Page curve.

7.198208

5.962332

8.075941

6.333673

6.276056

6.165314

6.229146

5.64215

6.033044

7.448055

6.245267

6.262218

6.83413

6.384193

6.322508

6.465633

6.16507

6.180157

6.306382

6.923064

6.419683

hep-th/0103144

Michael Lashkevich

Michael Lashkevich (Landau Institute)

Free field construction for the eight-vertex model: representation for form factors

26 pages, plain TeX, uses PiCTeX macros. Minor misprints corrected

Nucl.Phys. B621 (2002) 587-621

10.1016/S0550-3213(01)00598-3

null

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

null

The free field realization of the eight-vertex model is extended to form factors. It is achieved by constructing off-diagonal with respect to the ground state sectors matrix elements of the $\Lambda$ operator which establishes a relation between corner transfer matrices of the eight-vertex model and of the SOS model. As an example, the two-particle form factor of the $\sigma^z$ operator is evaluated explicitly.

[ { "created": "Sun, 18 Mar 2001 23:19:30 GMT", "version": "v1" }, { "created": "Fri, 6 Jul 2001 07:46:37 GMT", "version": "v2" }, { "created": "Thu, 6 Dec 2001 23:18:58 GMT", "version": "v3" } ]

2009-11-07

[ [ "Lashkevich", "Michael", "", "Landau Institute" ] ]

The free field realization of the eight-vertex model is extended to form factors. It is achieved by constructing off-diagonal with respect to the ground state sectors matrix elements of the $\Lambda$ operator which establishes a relation between corner transfer matrices of the eight-vertex model and of the SOS model. As an example, the two-particle form factor of the $\sigma^z$ operator is evaluated explicitly.

10.438043

9.254881

11.021942

9.123975

8.966798

10.058328

9.189134

9.433656

9.753063

11.976902

8.366014

8.883204

11.195563

9.781096

9.192307

9.632816

10.066424

8.800752

9.223883

10.23453

9.37283

2205.05261

Eduardo Guendelman I

Eduardo I. Guendelman and Zeeya Merali

Relieving String Tension By Making Baby Universes in a Dynamical String Tension Braneworld Model

Honorable mention in the Gravity Research Foundation 2022 Essays on Gravitation Competition. arXiv admin note: substantial text overlap with arXiv:2202.10457, arXiv:2107.08005

null

10.1142/S0218271822420147

null

hep-th gr-qc

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

String tension fundamentally determines the properties of strings; yet its value is often assigned arbitrarily, creating a fine-tuning problem. We describe a mechanism for dynamically generating string tension in a flat or almost flat spacetime, using the modified measures formalism, which in turn naturally generates a new type of stringy brane-world scenario. Such a scenario allows strings to achieve near infinite tension confining the strings to two very close expanding surfaces, but the infinite tensions also threatens to distort the near-flat embedding spacetime through large back reactions. We argue that this danger can be neutralised via the creation of a baby universe, a growing region of emdedding spacetime that divorces from the ambient embedding spacetime, while our universe is still a brane separating two nearly flat spacetimes. The avoidance of a minimum length and a maximum Hagedorn temperature in the context of dynamical string tension generation are also discussed.

[ { "created": "Wed, 11 May 2022 04:25:00 GMT", "version": "v1" } ]

2022-12-07

[ [ "Guendelman", "Eduardo I.", "" ], [ "Merali", "Zeeya", "" ] ]

String tension fundamentally determines the properties of strings; yet its value is often assigned arbitrarily, creating a fine-tuning problem. We describe a mechanism for dynamically generating string tension in a flat or almost flat spacetime, using the modified measures formalism, which in turn naturally generates a new type of stringy brane-world scenario. Such a scenario allows strings to achieve near infinite tension confining the strings to two very close expanding surfaces, but the infinite tensions also threatens to distort the near-flat embedding spacetime through large back reactions. We argue that this danger can be neutralised via the creation of a baby universe, a growing region of emdedding spacetime that divorces from the ambient embedding spacetime, while our universe is still a brane separating two nearly flat spacetimes. The avoidance of a minimum length and a maximum Hagedorn temperature in the context of dynamical string tension generation are also discussed.

23.430115

23.624872

24.274187

21.619806

24.125067

23.794062

22.643948

23.332146

22.294544

25.91119

22.265879

24.498571

23.743568

22.617077

23.14262

23.086739

23.37183

22.899006

22.490631

23.339611

22.545103

0804.2629

Houman Safaai

Giulio Bonelli, Houman Safaai

On gauge/string correspondence and mirror symmetry

1+13 pages, minor changes, added refrences, version to appear in JHEP

JHEP 0806:050,2008

10.1088/1126-6708/2008/06/050

SISSA/17/2008/EP

hep-th

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

We consider a mirror dual of the Berkovits-Vafa A-model for the BPS superstring on $AdS_5\times S^5$ in the form of a deformed superconifold. Via geometric transition, the theory has a dual description as the hermitian gaussian one-matrix model. We show that the A-model amplitudes of generic $AdS_2\times S^4$ branes, breaking the superconformal symmetry as $U(2,2|4)\to OSp(4^*|4)$, are evaluated in terms of observables in the matrix model. As such, upon the usual identification $g_{YM}^2=g_s$, these can be expanded as Drukker-Gross circular 1/2-BPS Wilson loops in the perturbative regime of ${\cal N}=4$ SYM.

[ { "created": "Wed, 16 Apr 2008 15:53:12 GMT", "version": "v1" }, { "created": "Mon, 28 Apr 2008 13:18:57 GMT", "version": "v2" }, { "created": "Tue, 10 Jun 2008 16:31:58 GMT", "version": "v3" } ]

2010-05-28

[ [ "Bonelli", "Giulio", "" ], [ "Safaai", "Houman", "" ] ]

We consider a mirror dual of the Berkovits-Vafa A-model for the BPS superstring on $AdS_5\times S^5$ in the form of a deformed superconifold. Via geometric transition, the theory has a dual description as the hermitian gaussian one-matrix model. We show that the A-model amplitudes of generic $AdS_2\times S^4$ branes, breaking the superconformal symmetry as $U(2,2|4)\to OSp(4^*|4)$, are evaluated in terms of observables in the matrix model. As such, upon the usual identification $g_{YM}^2=g_s$, these can be expanded as Drukker-Gross circular 1/2-BPS Wilson loops in the perturbative regime of ${\cal N}=4$ SYM.

8.171161

8.897807

10.624572

8.423867

9.029264

8.375327

8.392007

8.52095

8.340551

12.630198

8.095303

8.389005

9.333886

8.293842

8.654919

8.354907

8.30846

8.108521

8.217184

8.770496

8.132556

1011.2090

Diego S\'aez-G\'omez

Stability of cosmological solutions in F(R) Horava-Lifshitz gravity

9 pages

Phys.Rev.D83:064040,2011

10.1103/PhysRevD.83.064040

null

hep-th astro-ph.CO gr-qc

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

At the present paper, it is studied cosmological solutions and its stability in the frame of F(R) Horava-Lifshitz gravity. The perturbations around general spatially flat FRW solutions are analyzed and it is showed that the stability of those solutions will depend on the kind of theory, i.e. on the form of the action F(R), as well as on the parameters contained in any Horava-Lifshitz theory due to the breaking of Lorentz invariance. The (in)stability of a given cosmic solution can restrict the models and gives new observational predictions, and can give a natural explanation on the end of inflation and radiation/matter phases. An explicit example of F(R) is studied, and it is showed that the instability can produce the transition between the different epochs of the Universe history.

[ { "created": "Tue, 9 Nov 2010 14:09:27 GMT", "version": "v1" }, { "created": "Tue, 5 Apr 2011 11:20:02 GMT", "version": "v2" } ]

2011-05-10

[ [ "Sáez-Gómez", "Diego", "" ] ]

At the present paper, it is studied cosmological solutions and its stability in the frame of F(R) Horava-Lifshitz gravity. The perturbations around general spatially flat FRW solutions are analyzed and it is showed that the stability of those solutions will depend on the kind of theory, i.e. on the form of the action F(R), as well as on the parameters contained in any Horava-Lifshitz theory due to the breaking of Lorentz invariance. The (in)stability of a given cosmic solution can restrict the models and gives new observational predictions, and can give a natural explanation on the end of inflation and radiation/matter phases. An explicit example of F(R) is studied, and it is showed that the instability can produce the transition between the different epochs of the Universe history.

9.235481

9.238191

8.854848

8.664579

9.422077

9.19573

9.296736

8.929553

8.841061

8.819621

8.847168

8.830126

8.56705

8.715977

9.133538

8.816651

8.673777

8.476266

8.885755

8.738011

8.791975

hep-th/9505160

Douglas A. Singleton

Douglas Singleton and Atsushi Yoshida

A General Relativistic Model for Confinement in SU(2) Yang-Mills Theory

17 pages LaTeX

Found.Phys.Lett.15:263-275,2002

10.1023/A:1021083604459

null

hep-th

null

In this paper we present a model of confinement based on an analogy with the confinement mechanism of the Schwarzschild solution of general relativity. Using recently discovered exact, Schwarzschild-like solutions of the SU(2) Yang-Mills-Higgs equations we study the behaviour of a scalar, SU(2) charged test particle placed in the gauge fields of this solution. We find that this test particle is indeed confined inside the color event horizon of our solution. Additionally it is found that this system is a composite fermion even though there are no fundamental fermions in the original Lagrangian.

[ { "created": "Thu, 25 May 1995 19:20:05 GMT", "version": "v1" } ]

2015-06-26

[ [ "Singleton", "Douglas", "" ], [ "Yoshida", "Atsushi", "" ] ]

In this paper we present a model of confinement based on an analogy with the confinement mechanism of the Schwarzschild solution of general relativity. Using recently discovered exact, Schwarzschild-like solutions of the SU(2) Yang-Mills-Higgs equations we study the behaviour of a scalar, SU(2) charged test particle placed in the gauge fields of this solution. We find that this test particle is indeed confined inside the color event horizon of our solution. Additionally it is found that this system is a composite fermion even though there are no fundamental fermions in the original Lagrangian.

8.011796

8.60472

8.062043

7.534104

8.421118

8.821291

7.866142

7.723044

7.556378

7.940488

7.857

7.668951

7.583351

7.534978

7.557278

7.79698

7.690744

7.750378

7.251444

7.742252

7.513576

hep-th/9511176

Tobias Hurth

Higgs-free Massive Nonabelian Gauge Theories

13 pages, latex, no figures, published version, some misprints corrected and a few comments added

Helv.Phys.Acta 70 (1997) 406-416

null

ITP-SB-96-50

hep-th hep-ph

null

We analyze nonabelian massive Higgs-free theories in the causal Epstein-Glaser approach. Recently, there has been renewed interest in these models. In particular we consider the well-known Curci-Ferrari model and the nonabelian St\"uckelberg models. We explicitly show the reason why the considered models fail to be unitary. In our approach only the asymptotic (linear) BRS-symmetry has to be considered.

[ { "created": "Fri, 24 Nov 1995 15:09:23 GMT", "version": "v1" }, { "created": "Fri, 13 Sep 1996 22:33:11 GMT", "version": "v2" } ]

2008-02-03

[ [ "Hurth", "Tobias", "" ] ]

We analyze nonabelian massive Higgs-free theories in the causal Epstein-Glaser approach. Recently, there has been renewed interest in these models. In particular we consider the well-known Curci-Ferrari model and the nonabelian St\"uckelberg models. We explicitly show the reason why the considered models fail to be unitary. In our approach only the asymptotic (linear) BRS-symmetry has to be considered.

14.406782

12.936721

13.29883

12.201255

12.837932

11.847594

12.094483

12.225085

11.89173

13.349587

12.103625

13.074798

12.987564

12.814284

12.975509

12.972409

12.493747

12.045724

12.904545

13.305893

12.252932

1407.8273

Yu Tian

Yu Tian, Xiao-Ning Wu, Hongbao Zhang

Holographic Entropy Production

45 pages, comments are welcome; v2: 46 pages, references added, minor improvements/modifications, matching the version to appear in JHEP

JHEP1410:170,2014

10.1007/JHEP10(2014)170

null

hep-th gr-qc

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

The suspicion that gravity is holographic has been supported mainly by a variety of specific examples from string theory. In this paper, we propose that such a holography can actually be observed in the context of Einstein's gravity and at least a class of generalized gravitational theories, based on a definite holographic principle where neither is the bulk space-time required to be asymptotically AdS nor the boundary to be located at conformal infinity, echoing Wilson's formulation of quantum field theory. After showing the general equilibrium thermodynamics from the corresponding holographic dictionary, in particular, we provide a rather general proof of the equality between the entropy production on the boundary and the increase of black hole entropy in the bulk, which can be regarded as strong support to this holographic principle. The entropy production in the familiar holographic superconductors/superfluids is investigated as an important example, where the role played by the holographic renormalization is explained.

[ { "created": "Thu, 31 Jul 2014 04:20:42 GMT", "version": "v1" }, { "created": "Wed, 29 Oct 2014 15:24:59 GMT", "version": "v2" } ]

2015-06-22

[ [ "Tian", "Yu", "" ], [ "Wu", "Xiao-Ning", "" ], [ "Zhang", "Hongbao", "" ] ]

The suspicion that gravity is holographic has been supported mainly by a variety of specific examples from string theory. In this paper, we propose that such a holography can actually be observed in the context of Einstein's gravity and at least a class of generalized gravitational theories, based on a definite holographic principle where neither is the bulk space-time required to be asymptotically AdS nor the boundary to be located at conformal infinity, echoing Wilson's formulation of quantum field theory. After showing the general equilibrium thermodynamics from the corresponding holographic dictionary, in particular, we provide a rather general proof of the equality between the entropy production on the boundary and the increase of black hole entropy in the bulk, which can be regarded as strong support to this holographic principle. The entropy production in the familiar holographic superconductors/superfluids is investigated as an important example, where the role played by the holographic renormalization is explained.

11.212534

10.55195

12.076896

10.593575

12.110305

11.243067

10.93374

11.408257

10.740814

12.15552

10.560403

11.214576

11.246311

10.835382

11.107019

11.316687

11.1985

10.971347

10.709252

11.192144

10.438341

hep-th/0301135

Vasily Pestun

A. Dymarsky, V. Pestun

On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential

LaTeX, 10 pages; v2: some misprints corrected; v3: submitted to Phys.Rev.D

Phys.Rev. D67 (2003) 125001

10.1103/PhysRevD.67.125001

ITEP-TH-14/03

hep-th

null

We consider CIV-DV prepotential F for N=1 SU(n) SYM theory at the extremum of the effective superpotential and prove the relation $2F-S dF/dS = - 2 u_2 Lambda^2n /(n^2-1)$

[ { "created": "Mon, 20 Jan 2003 15:06:41 GMT", "version": "v1" }, { "created": "Fri, 28 Feb 2003 10:34:43 GMT", "version": "v2" }, { "created": "Sun, 30 Mar 2003 16:21:42 GMT", "version": "v3" } ]

2009-11-10

[ [ "Dymarsky", "A.", "" ], [ "Pestun", "V.", "" ] ]

We consider CIV-DV prepotential F for N=1 SU(n) SYM theory at the extremum of the effective superpotential and prove the relation $2F-S dF/dS = - 2 u_2 Lambda^2n /(n^2-1)$

31.154589

14.851787

35.612061

20.917164

15.911323

16.608356

15.799723

20.737335

16.984394

48.045845

24.574003

19.747448

29.666763

25.463171

21.580564

19.21744

20.427713

22.632608

20.54044

27.949039

22.274651

hep-th/9512193

David Blaschke

H.-P. Pavel, D. Blaschke, G. Roepke and V.N. Pervushin

Coherent and squeezed condensates in massless $\lambda \varphi^4$ theory

13 pages, Latex

null

MPG-VT-UR 67/95

hep-th

null

Generalizing the Bogoliubov model of a weakly non-ideal Bose gas to massless $\lambda\varphi^4$ theory we show that spontaneous breaking of symmetry occurs due to condensation in a coherent vacuum % which is energetically favoured compared to the perturbative one. and leads to a vacuum energy density which is lower than that obtained by Coleman and Weinberg using the one-loop effective potential method. We discuss the alternative of a squeezed condensate and find that for the massless $\lambda \varphi^4$ theory spontaneous symmetry breaking to a squeezed vacuum does not occur.

[ { "created": "Sat, 23 Dec 1995 14:01:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Pavel", "H. -P.", "" ], [ "Blaschke", "D.", "" ], [ "Roepke", "G.", "" ], [ "Pervushin", "V. N.", "" ] ]

Generalizing the Bogoliubov model of a weakly non-ideal Bose gas to massless $\lambda\varphi^4$ theory we show that spontaneous breaking of symmetry occurs due to condensation in a coherent vacuum % which is energetically favoured compared to the perturbative one. and leads to a vacuum energy density which is lower than that obtained by Coleman and Weinberg using the one-loop effective potential method. We discuss the alternative of a squeezed condensate and find that for the massless $\lambda \varphi^4$ theory spontaneous symmetry breaking to a squeezed vacuum does not occur.

9.053015

8.278808

7.846761

7.758121

8.038998

8.631805

8.538134

8.066717

7.791775

8.028624

8.004908

7.986154

7.874548

7.878829

8.1319

8.129964

7.978094

7.775793

7.742564

7.930525

7.933558

hep-th/0610307

Kamuran Saygili

K. Saygili

Topologically Massive Gauge Theory: Wu-Yang Type Solutions

39 pages, 5 figures, shortened, 1 ref added

null

hep-th gr-qc

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

We discuss Wu-Yang type solutions of the Maxwell-Chern-Simons and the Yang-Mills-Chern-Simons theories. There exists a natural scale of length which is determined by the inverse topological mass. We obtain the non-abelian solution by means of a SU(2) gauge transformation of Dirac magnetic monopole type solution. In the abelian case, field strength locally determines the gauge potential up to a closed term via self-duality equation. We introduce a transformation of the gauge potential using dual field strength which can be identified with the gauge transformation in the abelian solution. Then we present Hopf map from S^3 to S^2 including the topological mass. This leads to a reduction of the field equation onto S^2 using local sections of S^3. The local solutions possess a composite structure consisting of both magnetic and electric charges. These naturally lead to topologically massive Wu-Yang solution which is based on patching up the local potentials by means of a gauge transformation. We also discuss solutions with different first Chern numbers. There exist a fundamental scale over which the gauge function is single-valued and periodic for any integer in addition to the fact that it has a smaller period. We also discuss Dirac quantization condition. We present a stereographic view of the fibres in the Hopf map. Meanwhile Archimedes map yields a simple geometric picture for the Wu-Yang solution. We also discuss holonomy of the gauge potential and the dual-field on S^2. Finally we point out a naive identification of the natural length scale introduced by the topological mass with Hall resistivity.

[ { "created": "Sun, 29 Oct 2006 15:03:15 GMT", "version": "v1" }, { "created": "Thu, 10 Jul 2008 13:18:06 GMT", "version": "v2" } ]

2008-07-10

[ [ "Saygili", "K.", "" ] ]

We discuss Wu-Yang type solutions of the Maxwell-Chern-Simons and the Yang-Mills-Chern-Simons theories. There exists a natural scale of length which is determined by the inverse topological mass. We obtain the non-abelian solution by means of a SU(2) gauge transformation of Dirac magnetic monopole type solution. In the abelian case, field strength locally determines the gauge potential up to a closed term via self-duality equation. We introduce a transformation of the gauge potential using dual field strength which can be identified with the gauge transformation in the abelian solution. Then we present Hopf map from S^3 to S^2 including the topological mass. This leads to a reduction of the field equation onto S^2 using local sections of S^3. The local solutions possess a composite structure consisting of both magnetic and electric charges. These naturally lead to topologically massive Wu-Yang solution which is based on patching up the local potentials by means of a gauge transformation. We also discuss solutions with different first Chern numbers. There exist a fundamental scale over which the gauge function is single-valued and periodic for any integer in addition to the fact that it has a smaller period. We also discuss Dirac quantization condition. We present a stereographic view of the fibres in the Hopf map. Meanwhile Archimedes map yields a simple geometric picture for the Wu-Yang solution. We also discuss holonomy of the gauge potential and the dual-field on S^2. Finally we point out a naive identification of the natural length scale introduced by the topological mass with Hall resistivity.

13.457136

13.646775

14.6141

13.158427

13.132511

13.50414

13.41732

13.106128

13.306264

15.593126

13.431748

13.418126

12.926912

12.760392

13.092985

13.255491

13.049782

13.048509

12.585131

13.372128

13.133522

1502.05949

Horatiu Stefan Nastase

Prieslei Goulart and Horatiu Nastase

Massive ABJM and black hole entropy in the presence of field strength coupling to curvature

17 pages, no figures; references and clarifications added

null

hep-th gr-qc

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

Assuming that the near horizon geometry of the black hole solution of the gravity dual to the ABJM model, in the presence of a coupling between the Weyl tensor and the field strength, is $AdS_{2}\times S^{2}$, we compute Sen's entropy function for this theory. By extremizing the entropy function we write a formula for the entropy of the black hole, and then we compute the same entropy using Wald's formula and show that the results are the same. In this way we generalize the calculation of black hole entropy to cases of curvature coupling to the field strength, including at first order, and we also show how to calculate the black hole entropy when the black hole solution is unknown, from just a few simple assumptions about the horizon.

[ { "created": "Fri, 20 Feb 2015 17:43:07 GMT", "version": "v1" }, { "created": "Mon, 27 Apr 2015 18:55:30 GMT", "version": "v2" } ]

2015-04-28

[ [ "Goulart", "Prieslei", "" ], [ "Nastase", "Horatiu", "" ] ]

Assuming that the near horizon geometry of the black hole solution of the gravity dual to the ABJM model, in the presence of a coupling between the Weyl tensor and the field strength, is $AdS_{2}\times S^{2}$, we compute Sen's entropy function for this theory. By extremizing the entropy function we write a formula for the entropy of the black hole, and then we compute the same entropy using Wald's formula and show that the results are the same. In this way we generalize the calculation of black hole entropy to cases of curvature coupling to the field strength, including at first order, and we also show how to calculate the black hole entropy when the black hole solution is unknown, from just a few simple assumptions about the horizon.

8.060826

7.897381

8.505093

7.000324

7.577916

7.512161

7.848546

7.144876

7.361353

7.919595

7.37094

7.238622

7.802867

7.359585

7.443688

7.36692

7.320742

7.490891

7.357223

7.455929

7.325518

1709.09881

Jose Magpantay

Jose A. Magpantay

Nonlinear Gauge, Stochasticity and Confinement

32 pages, 1 figure

null

hep-th

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

I clarify, restate and show more clearly some key points I raised in a number of papers that discussed the non-linear gauge-fixing condition and quark confinement. I also correct some errors, which do not detract from the key findings, found in the original papers. However, there are two major corrections I will make in this paper, the first is on the proof of the Parisi-Sourlas mechanism and the second is on the effective action for the 'gluons', which leads to a direct proof of gluons being confined inside hadrons. The correction also leads to how the mass gap will be calculated, which was explicitly done in 2D. The starting point is that contrary to the prevailing ideas in the literature, the Coulomb gauge is an incomplete gauge-fixing condition in the sense that there are field configurations that cannot be gauge transformed to the Coulomb gauge. In other words the orbit of these configurations will not intersect the Coulomb gauge surface. I proposed the non-linear gauge condition precisely because it includes the Coulomb gauge in the high energy (short distance) regime and the quadratic regime (the large distance regime where the running coupling becomes large), where the gauge fields cannot be gauge transformed to the Coulomb surface. We proposed a new decomposition of the gauge potential in the non-linear regime, which involves an isoscalar (the divergence of the gauge field) and a new vector field, which exhibits a mass gap and confinement. When we add the quarks, we find that they are localized to a given distance scale and has an effective four-Fermi action with a linear potential. Thus, we have shown a mass gap for gluons and confinement for both dynamical quarks and gluons.

[ { "created": "Thu, 28 Sep 2017 10:13:13 GMT", "version": "v1" } ]

2017-09-29

[ [ "Magpantay", "Jose A.", "" ] ]

I clarify, restate and show more clearly some key points I raised in a number of papers that discussed the non-linear gauge-fixing condition and quark confinement. I also correct some errors, which do not detract from the key findings, found in the original papers. However, there are two major corrections I will make in this paper, the first is on the proof of the Parisi-Sourlas mechanism and the second is on the effective action for the 'gluons', which leads to a direct proof of gluons being confined inside hadrons. The correction also leads to how the mass gap will be calculated, which was explicitly done in 2D. The starting point is that contrary to the prevailing ideas in the literature, the Coulomb gauge is an incomplete gauge-fixing condition in the sense that there are field configurations that cannot be gauge transformed to the Coulomb gauge. In other words the orbit of these configurations will not intersect the Coulomb gauge surface. I proposed the non-linear gauge condition precisely because it includes the Coulomb gauge in the high energy (short distance) regime and the quadratic regime (the large distance regime where the running coupling becomes large), where the gauge fields cannot be gauge transformed to the Coulomb surface. We proposed a new decomposition of the gauge potential in the non-linear regime, which involves an isoscalar (the divergence of the gauge field) and a new vector field, which exhibits a mass gap and confinement. When we add the quarks, we find that they are localized to a given distance scale and has an effective four-Fermi action with a linear potential. Thus, we have shown a mass gap for gluons and confinement for both dynamical quarks and gluons.

11.783932

12.722047

12.355376

11.93804

12.264146

13.467998

13.671655

12.543555

11.80123

12.407055

11.693251

11.510103

11.7742

11.459783

11.778954

11.728613

11.629297

11.644917

11.880667

11.599074

11.561426

0811.2815

Angel De Paoli

C.G.Bollini, A. L. De Paoli, M.C.Rocca

World Sheet Superstring and Superstring Field Theory: a new solution using Ultradistributions of Exponential Type

31 pages, no figures Gauge conditions added

null

hep-th

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

In this paper we show that Ultradistributions of Exponential Type (UET) are appropriate for the description in a consistent way world sheet superstring and superstring field theories. A new Lagrangian for the closed world sheet superstring is obtained. We also show that the superstring field is a linear superposition of UET of compact support (CUET), and give the notion of anti-superstring. We evaluate the propagator for the string field, and calculate the convolution of two of them.

[ { "created": "Mon, 17 Nov 2008 21:59:52 GMT", "version": "v1" }, { "created": "Fri, 12 Feb 2010 23:14:16 GMT", "version": "v2" } ]

2010-02-13

[ [ "Bollini", "C. G.", "" ], [ "De Paoli", "A. L.", "" ], [ "Rocca", "M. C.", "" ] ]

In this paper we show that Ultradistributions of Exponential Type (UET) are appropriate for the description in a consistent way world sheet superstring and superstring field theories. A new Lagrangian for the closed world sheet superstring is obtained. We also show that the superstring field is a linear superposition of UET of compact support (CUET), and give the notion of anti-superstring. We evaluate the propagator for the string field, and calculate the convolution of two of them.

12.734537

5.837147

14.504113

7.695793

7.483002

6.307087

6.178489

6.634775

7.05983

13.159491

7.807881

9.471095

12.198689

10.561914

10.702603

9.606246

9.62886

9.476096

9.987548

11.991807

10.345262

1105.4333

Xian-Hui Ge

Xian-Hui Ge, Hong-Qiang Leng

Analytical calculation on critical magnetic field in holographic superconductors with backreaction

16 pages, 4 figures, 2 tables, major revision, to appear in PTP

Prog. Theor. Phys. 128 (2012), 1211-1228

10.1143/PTP.128.1211

null

hep-th

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

We investigate the effect of spacetime backreaction on the upper critical magnetic field for s-wave holographic superconductors by using the matching method. The backreaction of the constant external magnetic field and the electric field to the background geometry leads to a dyonic black hole solution. The magnetic fields as well as the electric fields acting as gravitational sources tend to depress the critical temperature of the superconductor. We derive the analytical expression for the upper critical magnetic field up to $\mathcal{O}(\kappa^2)$ order and find that backreaction makes the upper critical magnetic field stronger. The result is consistent with the previous numerical and analytical results.

[ { "created": "Sun, 22 May 2011 12:59:50 GMT", "version": "v1" }, { "created": "Thu, 11 Oct 2012 14:30:01 GMT", "version": "v2" } ]

2015-03-19

[ [ "Ge", "Xian-Hui", "" ], [ "Leng", "Hong-Qiang", "" ] ]

We investigate the effect of spacetime backreaction on the upper critical magnetic field for s-wave holographic superconductors by using the matching method. The backreaction of the constant external magnetic field and the electric field to the background geometry leads to a dyonic black hole solution. The magnetic fields as well as the electric fields acting as gravitational sources tend to depress the critical temperature of the superconductor. We derive the analytical expression for the upper critical magnetic field up to $\mathcal{O}(\kappa^2)$ order and find that backreaction makes the upper critical magnetic field stronger. The result is consistent with the previous numerical and analytical results.

7.787037

6.43819

7.739303

6.145057

6.372818

6.154434

6.093031

5.779077

6.439907

7.349691

6.440132

6.856032

6.977267

6.873627

6.752994

6.689661

6.376834

6.68412

6.896976

7.153443

6.924054

hep-th/0612223

Alysson Fabio Ferrari

A. F. Ferrari, A. C. Lehum, A. J. da Silva, and F. Teixeira

The Supersymmetric (2+1)D Noncommutative $CP^{(N-1)}$ Model in the Fundamental Representation

20 pages, 6 figures, revtex4; v3, final version to be published in J. Phys.A

J.Phys.A40:7803-7818,2007

10.1088/1751-8113/40/27/024

null

hep-th

null

In this paper we study the noncommutative supersymmetric $CP^{(N-1)}$ model in 2+1 dimensions, where the basic field is in the fundamental representation which, differently to the adjoint representation already studied in the literature, goes to the usual supersymmetric $CP^{(N-1)}$ model in the commutative limit. We analyze the phase structure of the model and calculate the leading and subleading corrections in a 1/N expansion. We prove that the theory is free of non-integrable UV/IR infrared singularities and is renormalizable in the leading order. The two-point vertex function of the basic field is also calculated and renormalized in an explicitly supersymmetric way up to the subleading order.

[ { "created": "Wed, 20 Dec 2006 16:15:10 GMT", "version": "v1" }, { "created": "Wed, 27 Dec 2006 14:38:00 GMT", "version": "v2" }, { "created": "Tue, 22 May 2007 21:08:03 GMT", "version": "v3" } ]

2008-11-26

[ [ "Ferrari", "A. F.", "" ], [ "Lehum", "A. C.", "" ], [ "da Silva", "A. J.", "" ], [ "Teixeira", "F.", "" ] ]

In this paper we study the noncommutative supersymmetric $CP^{(N-1)}$ model in 2+1 dimensions, where the basic field is in the fundamental representation which, differently to the adjoint representation already studied in the literature, goes to the usual supersymmetric $CP^{(N-1)}$ model in the commutative limit. We analyze the phase structure of the model and calculate the leading and subleading corrections in a 1/N expansion. We prove that the theory is free of non-integrable UV/IR infrared singularities and is renormalizable in the leading order. The two-point vertex function of the basic field is also calculated and renormalized in an explicitly supersymmetric way up to the subleading order.

5.923799

5.358793

6.813902

5.333309

5.406919

5.134599

5.398419

5.24606

5.059735

6.523808

5.262593

5.390021

6.092132

5.512798

5.218162

5.285085

5.247048

5.287321

5.596906

6.051571

5.316011

hep-th/9907135

Subir Ghosh

Self-interaction effects on screening in three-dimensional QED

null

J.Phys.A33:1915-1919,2000

10.1088/0305-4470/33/9/313

null

hep-th

null

We have shown that self interaction effects in massive quantum electrodynamics can lead to the formation of bound states of quark antiquark pairs. A current-current fermion coupling term is introduced, which induces a well in the potential energy profile. Explicit expressions of the effective potential and renormalized parameters are provided.

[ { "created": "Fri, 16 Jul 1999 09:09:33 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ghosh", "Subir", "" ] ]

We have shown that self interaction effects in massive quantum electrodynamics can lead to the formation of bound states of quark antiquark pairs. A current-current fermion coupling term is introduced, which induces a well in the potential energy profile. Explicit expressions of the effective potential and renormalized parameters are provided.

17.07321

14.932632

15.604195

14.323756

15.125544

14.570775

15.42976

13.943576

14.781065

16.485786

14.933643

14.397967

15.252153

14.743982

14.3741

14.709502

15.327577

14.5621

14.325805

15.074

14.773022

2008.01378

Alessandro Sfondrini

Marius de Leeuw, Burkhard Eden, Alessandro Sfondrini

Bound State Scattering Simplified

17 pages; Mathematica notebook attached to the submission; v2: misprints and references corrected

Phys. Rev. D 102, 126001 (2020)

10.1103/PhysRevD.102.126001

null

hep-th

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

In the description of the AdS5/CFT4 duality by an integrable system the scattering matrix for bound states plays a crucial role: it was initially constructed for the evaluation of finite size corrections to the planar spectrum of energy levels/anomalous dimensions by the thermodynamic Bethe ansatz, and more recently it re-appeared in the context of the glueing prescription of the hexagon approach to higher-point functions. In this work we present a simplified form of this scattering matrix and we make its pole structure manifest. We find some new relations between its matrix elements and also present an explicit form for its inverse. We finally discuss some of its properties including crossing symmetry. Our results will hopefully be useful for computing finite-size effects such as the ones given by the complicated sum-integrals arising from the glueing of hexagons, as well as help towards understanding universal features of the AdS5/CFT4 scattering matrix.

[ { "created": "Tue, 4 Aug 2020 07:25:47 GMT", "version": "v1" }, { "created": "Thu, 6 Aug 2020 15:39:02 GMT", "version": "v2" } ]

2020-12-04

[ [ "de Leeuw", "Marius", "" ], [ "Eden", "Burkhard", "" ], [ "Sfondrini", "Alessandro", "" ] ]

In the description of the AdS5/CFT4 duality by an integrable system the scattering matrix for bound states plays a crucial role: it was initially constructed for the evaluation of finite size corrections to the planar spectrum of energy levels/anomalous dimensions by the thermodynamic Bethe ansatz, and more recently it re-appeared in the context of the glueing prescription of the hexagon approach to higher-point functions. In this work we present a simplified form of this scattering matrix and we make its pole structure manifest. We find some new relations between its matrix elements and also present an explicit form for its inverse. We finally discuss some of its properties including crossing symmetry. Our results will hopefully be useful for computing finite-size effects such as the ones given by the complicated sum-integrals arising from the glueing of hexagons, as well as help towards understanding universal features of the AdS5/CFT4 scattering matrix.

11.253418

11.70222

12.306224

10.410051

11.456939

11.504254

11.044531

10.609118

10.335297

12.543273

10.350516

10.570978

11.44717

10.810406

10.64004

10.600706

10.35732

10.655647

10.141652

11.096292

10.331456

hep-th/9109001

Philip Argyres

Philip C. Argyres and S.-H. Henry Tye

Fractional Superstrings with Space-Time Critical Dimensions Four and Six

9 pages

Phys.Rev.Lett. 67 (1991) 3339-3342

10.1103/PhysRevLett.67.3339

null

hep-th

null

We propose possible new string theories based on local world-sheet symmetries corresponding to extensions of the Virasoro algebra by fractional spin currents. They have critical central charges $c=6(K+8)/(K+2)$ and Minkowski space-time dimensions $D=2+16/K$ for $K\geq2$ an integer. We present evidence for their existence by constructing modular invariant partition functions and the massless particle spectra. The dimension $4$ and $6$ strings have space-time supersymmetry.

[ { "created": "Mon, 2 Sep 1991 17:21:17 GMT", "version": "v1" }, { "created": "Sat, 7 Sep 1991 19:26:39 GMT", "version": "v2" } ]

2009-10-22

[ [ "Argyres", "Philip C.", "" ], [ "Tye", "S. -H. Henry", "" ] ]

We propose possible new string theories based on local world-sheet symmetries corresponding to extensions of the Virasoro algebra by fractional spin currents. They have critical central charges $c=6(K+8)/(K+2)$ and Minkowski space-time dimensions $D=2+16/K$ for $K\geq2$ an integer. We present evidence for their existence by constructing modular invariant partition functions and the massless particle spectra. The dimension $4$ and $6$ strings have space-time supersymmetry.

9.692157

8.214379

10.661816

8.770885

9.086373

8.908241

8.910872

8.496538

9.210208

12.184348

8.818023

8.71736

10.079924

8.650969

8.753529

8.782246

9.339684

8.702572

8.883735

10.118367

8.717024

hep-th/9704171

Sho Tsujimaru

S. Tsujimaru (MPI Heidelberg), K. Yamawaki (Nagoya)

Zero Mode and Symmetry Breaking on the Light Front

60 pages, the final section has been expanded. A few minor corrections; version to be published in Phys. Rev. D

Phys.Rev. D57 (1998) 4942-4964

10.1103/PhysRevD.57.4942

null

hep-th hep-ph

null

We study the zero mode and the spontaneous symmetry breaking on the light front (LF). We use the discretized light-cone quantization (DLCQ) of Maskawa-Yamawaki to treat the zero mode in a clean separation from all other modes. It is then shown that the Nambu-Goldstone (NG) phase can be realized on the trivial LF vacuum only when an explicit symmetry-breaking mass of the NG boson $m_{\pi}$ is introduced. The NG-boson zero mode integrated over the LF must exhibit singular behavior $ \sim 1/m_{\pi}^2$ in the symmetric limit $m_{\pi}\to 0$, which implies that current conservation is violated at zero mode, or equivalently the LF charge is not conserved even in the symmetric limit. We demonstrate this peculiarity in a concrete model, the linear sigma model, where the role of zero-mode constraint is clarified. We further compare our result with the continuum theory. It is shown that in the continuum theory it is difficult to remove the zero mode which is not a single mode with measure zero but the accumulating point causing uncontrollable infrared singularity. A possible way out within the continuum theory is also suggested based on the ``$\nu$ theory''. We finally discuss another problem of the zero mode in the continuum theory, i.e., no-go theorem of Nakanishi-Yamawaki on the non-existence of LF quantum field theory within the framework of Wightman axioms, which remains to be a challenge for DLCQ, ``$\nu$ theory'' or any other framework of LF theory.

[ { "created": "Thu, 24 Apr 1997 16:25:27 GMT", "version": "v1" }, { "created": "Thu, 1 May 1997 11:45:25 GMT", "version": "v2" }, { "created": "Sun, 12 Oct 1997 15:58:31 GMT", "version": "v3" }, { "created": "Wed, 17 Dec 1997 20:39:26 GMT", "version": "v4" }, { "created": "Sun, 15 Feb 1998 19:33:38 GMT", "version": "v5" } ]

2009-10-30

[ [ "Tsujimaru", "S.", "", "MPI Heidelberg" ], [ "Yamawaki", "K.", "", "Nagoya" ] ]

We study the zero mode and the spontaneous symmetry breaking on the light front (LF). We use the discretized light-cone quantization (DLCQ) of Maskawa-Yamawaki to treat the zero mode in a clean separation from all other modes. It is then shown that the Nambu-Goldstone (NG) phase can be realized on the trivial LF vacuum only when an explicit symmetry-breaking mass of the NG boson $m_{\pi}$ is introduced. The NG-boson zero mode integrated over the LF must exhibit singular behavior $ \sim 1/m_{\pi}^2$ in the symmetric limit $m_{\pi}\to 0$, which implies that current conservation is violated at zero mode, or equivalently the LF charge is not conserved even in the symmetric limit. We demonstrate this peculiarity in a concrete model, the linear sigma model, where the role of zero-mode constraint is clarified. We further compare our result with the continuum theory. It is shown that in the continuum theory it is difficult to remove the zero mode which is not a single mode with measure zero but the accumulating point causing uncontrollable infrared singularity. A possible way out within the continuum theory is also suggested based on the ``$\nu$ theory''. We finally discuss another problem of the zero mode in the continuum theory, i.e., no-go theorem of Nakanishi-Yamawaki on the non-existence of LF quantum field theory within the framework of Wightman axioms, which remains to be a challenge for DLCQ, ``$\nu$ theory'' or any other framework of LF theory.

9.426937

9.528138

9.65999

8.852761

8.965364

8.437378

8.704819

9.155471

8.977668

11.364574

8.552941

9.244743

9.407474

9.056828

9.167663

9.191651

9.220154

9.104025

8.947708

9.708775

9.343555

hep-th/0409186

Igor Klebanov

Steven S. Gubser, Christopher P. Herzog, Igor R. Klebanov

Variations on the Warped Deformed Conifold

15 pages, LaTeX; talk delivered by I.R.K. at Strings '04

Comptes Rendus Physique 5 (2004) 1031-1038

10.1016/j.crhy.2004.10.003

PUPT-2134, NSF-KITP-04-100

hep-th

null

The warped deformed conifold background of type IIB theory is dual to the cascading $SU(M(p+1))\times SU(Mp)$ gauge theory. We show that this background realizes the (super-)Goldstone mechanism where the U(1) baryon number symmetry is broken by expectation values of baryonic operators. The resulting massless pseudo-scalar and scalar glueballs are identified in the supergravity spectrum. A D-string is then dual to a global string in the gauge theory. Upon compactification, the Goldstone mechanism turns into the Higgs mechanism, and the global strings turn into ANO strings.

[ { "created": "Fri, 17 Sep 2004 19:40:30 GMT", "version": "v1" } ]

2009-11-10

[ [ "Gubser", "Steven S.", "" ], [ "Herzog", "Christopher P.", "" ], [ "Klebanov", "Igor R.", "" ] ]

The warped deformed conifold background of type IIB theory is dual to the cascading $SU(M(p+1))\times SU(Mp)$ gauge theory. We show that this background realizes the (super-)Goldstone mechanism where the U(1) baryon number symmetry is broken by expectation values of baryonic operators. The resulting massless pseudo-scalar and scalar glueballs are identified in the supergravity spectrum. A D-string is then dual to a global string in the gauge theory. Upon compactification, the Goldstone mechanism turns into the Higgs mechanism, and the global strings turn into ANO strings.

9.610303

8.52278

10.401606

8.365767

7.739522

7.503317

7.747406

7.909912

7.693562

12.150702

7.927126

7.861357

9.407002

8.283656

8.118884

8.002858

7.640585

7.876226

8.000565

8.692239

7.81956

0711.3810

Mikhail Smolyakov

Mikhail N. Smolyakov, Igor P. Volobuev

On a stabilized warped brane world without Planck brane

7 pages, LaTeX, typos corrected, 1 figure added, discussion enlarged

null

hep-th

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

We discuss a stabilized brane world model with two branes, admitting the solution to the hierarchy problem due to the warped extra dimension and possessing a remarkable feature: the strength of gravitational interaction is of the same order on both branes, contrary to the case of the Randall-Sundrum model with a hierarchical difference of gravitational strength on the branes. The solution also admits the existence of two branes with an equal strength of gravitational interaction, which is of interest for treating the matter on the "mirror" brane as dark matter.

[ { "created": "Sun, 25 Nov 2007 07:14:35 GMT", "version": "v1" }, { "created": "Mon, 3 Nov 2008 14:12:59 GMT", "version": "v2" } ]

2008-11-03

[ [ "Smolyakov", "Mikhail N.", "" ], [ "Volobuev", "Igor P.", "" ] ]

We discuss a stabilized brane world model with two branes, admitting the solution to the hierarchy problem due to the warped extra dimension and possessing a remarkable feature: the strength of gravitational interaction is of the same order on both branes, contrary to the case of the Randall-Sundrum model with a hierarchical difference of gravitational strength on the branes. The solution also admits the existence of two branes with an equal strength of gravitational interaction, which is of interest for treating the matter on the "mirror" brane as dark matter.

10.587282

9.164245

8.588713

9.225486

8.756516

9.739855

9.325845

8.927983

8.794624

10.123767

8.60648

8.760859

8.64399

8.704626

9.079947

9.302241

9.244

9.000128

9.165249

9.061767

8.894595

2002.07967

Hayato Motohashi

Hayato Motohashi, Wayne Hu

Effective field theory of degenerate higher-order inflation

24 pages, 5 figures; matches published version

Phys. Rev. D 101, 083531 (2020)

10.1103/PhysRevD.101.083531

YITP-20-09

hep-th astro-ph.CO gr-qc

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

We extend the effective field theory of inflation to a general Lagrangian constructed from Arnowitt-Deser-Misner variables that encompasses the most general interactions with up to second derivatives of the scalar field whose background breaks temporal diffeomorphism invariance. Degeneracy conditions, corresponding to 8 distinct types -- only one of which corresponds to known degenerate higher-order scalar-tensor models -- provide necessary conditions for eliminating the Ostrogradsky ghost in a covariant theory at the level of the quadratic action in unitary gauge. Novel implications of the degenerate higher-order system for the Cauchy problem are illustrated with the phase space portrait of an explicit inflationary example: not all field configurations lead to physical solutions for the metric even for positive potentials; solutions are unique for a given configuration only up to a branch choice; solutions on one branch can apparently end at nonsingular points of the metric and their continuation on alternate branches lead to nonsingular bouncing solutions; unitary gauge perturbations can go unstable even when degenerate terms in the Lagrangian are infinitesimal. The attractor solution leads to an inflationary scenario where slow-roll parameters vary and running of the tilt can be large even with no explicit features in the potential far from the end of inflation, requiring the optimized slow-roll approach for predicting observables.

[ { "created": "Wed, 19 Feb 2020 02:39:43 GMT", "version": "v1" }, { "created": "Mon, 27 Apr 2020 10:26:05 GMT", "version": "v2" } ]

2020-04-28

[ [ "Motohashi", "Hayato", "" ], [ "Hu", "Wayne", "" ] ]

We extend the effective field theory of inflation to a general Lagrangian constructed from Arnowitt-Deser-Misner variables that encompasses the most general interactions with up to second derivatives of the scalar field whose background breaks temporal diffeomorphism invariance. Degeneracy conditions, corresponding to 8 distinct types -- only one of which corresponds to known degenerate higher-order scalar-tensor models -- provide necessary conditions for eliminating the Ostrogradsky ghost in a covariant theory at the level of the quadratic action in unitary gauge. Novel implications of the degenerate higher-order system for the Cauchy problem are illustrated with the phase space portrait of an explicit inflationary example: not all field configurations lead to physical solutions for the metric even for positive potentials; solutions are unique for a given configuration only up to a branch choice; solutions on one branch can apparently end at nonsingular points of the metric and their continuation on alternate branches lead to nonsingular bouncing solutions; unitary gauge perturbations can go unstable even when degenerate terms in the Lagrangian are infinitesimal. The attractor solution leads to an inflationary scenario where slow-roll parameters vary and running of the tilt can be large even with no explicit features in the potential far from the end of inflation, requiring the optimized slow-roll approach for predicting observables.

14.242035

16.00481

15.040134

13.99513

16.739496

15.678334

15.663666

15.487568

15.537513

16.420422

14.78483

14.400455

14.377913

13.946485

14.12226

14.437279

14.931831

14.475274

14.588256

14.65195

14.544275

hep-th/0703157

Ashoke Sen

Geometric Tachyon to Universal Open String Tachyon

LaTeX file, 30 pages

JHEP 0705:035,2007

10.1088/1126-6708/2007/05/035

null

hep-th

null

A system of k Neveu-Schwarz (NS) 5-branes of type II string theory with one transverse direction compactified on a circle admits various unstable D-brane systems, - some with geometric instability arising out of being placed at a point of unstable equilibrium in space and some with the usual open string tachyonic instability but no geometric instability. We discuss the effect of NS 5-branes on the descent relations among these branes and their physical interpretation in the T-dual ALF spaces. We argue that if the tachyon potential controlling these descent relations obeys certain conditions, then in certain region in the parameter space labelling the background the two types of unstable branes become identical via a second order phase transition, with the geometric tachyon in one system getting mapped to the open string tachyon of the other system. This would provide a geometric description of the tachyonic instability of the usual non-BPS Dp-brane in ten dimensional flat space-time.

[ { "created": "Sat, 17 Mar 2007 16:40:06 GMT", "version": "v1" } ]

2009-11-13

[ [ "Sen", "Ashoke", "" ] ]

A system of k Neveu-Schwarz (NS) 5-branes of type II string theory with one transverse direction compactified on a circle admits various unstable D-brane systems, - some with geometric instability arising out of being placed at a point of unstable equilibrium in space and some with the usual open string tachyonic instability but no geometric instability. We discuss the effect of NS 5-branes on the descent relations among these branes and their physical interpretation in the T-dual ALF spaces. We argue that if the tachyon potential controlling these descent relations obeys certain conditions, then in certain region in the parameter space labelling the background the two types of unstable branes become identical via a second order phase transition, with the geometric tachyon in one system getting mapped to the open string tachyon of the other system. This would provide a geometric description of the tachyonic instability of the usual non-BPS Dp-brane in ten dimensional flat space-time.

10.787466

10.165998

12.031192

9.880205

10.627934

10.813094

10.108228

9.9363

10.015457

12.725726

10.128883

10.952185

11.303441

10.513483

10.664864

10.526812

10.562755

10.819436

10.547123

11.66288

10.701805

hep-th/9410067

Dr Ian Kogan

Ian I. Kogan and Alex Kovner

Compact QED$_3$ - a simple example of a variational calculation in a gauge theory

18 pages, OUTP- 94-23 P, TPI-MINN-94/37-T

Phys.Rev. D51 (1995) 1948-1955

10.1103/PhysRevD.51.1948

null

hep-th hep-ph

null

We apply a simple mean field like variational calculation to compact QED in 2+1 dimensions. Our variational ansatz explicitly preserves compact gauge invariance of the theory. We reproduce in this framework all the known results, including dynamical mass generation, Polyakov scaling and the nonzero string tension. It is hoped that this simple example can be a useful reference point for applying similar approximation techniques to nonabelian gauge theories.

[ { "created": "Mon, 10 Oct 1994 17:41:41 GMT", "version": "v1" } ]

2009-10-28

[ [ "Kogan", "Ian I.", "" ], [ "Kovner", "Alex", "" ] ]

We apply a simple mean field like variational calculation to compact QED in 2+1 dimensions. Our variational ansatz explicitly preserves compact gauge invariance of the theory. We reproduce in this framework all the known results, including dynamical mass generation, Polyakov scaling and the nonzero string tension. It is hoped that this simple example can be a useful reference point for applying similar approximation techniques to nonabelian gauge theories.

11.156935

9.356895

10.370071

9.225804

9.667519

9.223861

9.371389

9.769443

9.560377

11.277476

9.312467

9.620341

11.125731

10.97115

10.527778

9.887781

9.597572

10.851921

10.307364

11.557067

9.889845

1807.05161

Andr\'es Fernando Reyes-Lega

A.P. Balachandran, A.F. Reyes-Lega

The Gauss Law: A Tale

Published version. References added

In: Marmo G., Mart\'in de Diego D., Mu\~noz Lecanda M. (eds) Classical and Quantum Physics. Springer Proceedings in Physics, vol 229. Springer, Cham (2019)

10.1007/978-3-030-24748-5_4

null

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

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

The Gauss law plays a basic role in gauge theories, enforcing gauge invariance and creating edge states and superselection sectors. This article surveys these aspects of the Gauss law in QED, QCD and nonlinear $G/H$ models. It is argued that nonabelian superselection rules are spontaneously broken. That is the case with $SU(3)$ of colour which is spontaneously broken to $U(1)\times U(1)$. Nonlinear $G/H$ models are reformulated as gauge theories and the existence of edge states and superselection sectors in these models is also established.

[ { "created": "Fri, 13 Jul 2018 16:20:56 GMT", "version": "v1" }, { "created": "Sat, 8 Aug 2020 18:36:42 GMT", "version": "v2" } ]

2020-08-12

[ [ "Balachandran", "A. P.", "" ], [ "Reyes-Lega", "A. F.", "" ] ]

The Gauss law plays a basic role in gauge theories, enforcing gauge invariance and creating edge states and superselection sectors. This article surveys these aspects of the Gauss law in QED, QCD and nonlinear $G/H$ models. It is argued that nonabelian superselection rules are spontaneously broken. That is the case with $SU(3)$ of colour which is spontaneously broken to $U(1)\times U(1)$. Nonlinear $G/H$ models are reformulated as gauge theories and the existence of edge states and superselection sectors in these models is also established.

10.300375

9.618082

9.646539

9.248603

9.140602

8.822089

9.280643

8.219608

8.90635

10.687548

9.419742

8.890903

9.64613

8.921554

8.680807

8.85937

8.906205

8.786366

8.982371

9.618787

9.109111

2206.13551

Rafael Hernandez

Rafael Hernandez, Roberto Ruiz, Konstantinos Sfetsos

Spinning strings: $\lambda$-deformation and non-Abelian T-dual limit

Comments: 45 pages. Latex. v2: Spinning strings consistently truncate now the equations of motion. Most of the discussion remains unaffected. Minor improvements and typos fixed. Published version

Nucl. Phys. B991 (2023), 116199

10.1016/j.nuclphysb.2023.116199

null

hep-th

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

The simplest example of the $\lambda$-deformation connects the SU(2) Wess-Zumino-Witten model with the non-Abelian T-dual (NATD) of the SU(2) principal chiral model. We analyze spinning strings with one spin propagating through the $\lambda$-deformation of the target space of the interpolation. We show that the situation apart from the NATD limit parallels the undeformed case. We demonstrate that regular spinning strings are either folded or circular, and that nearly degenerate spinning strings are either nearly point-like, fast, or slow. The effects of the $\lambda$-deformation are both the overall increment of the energy of spinning strings and the enlargement of the gap between the energies of folded and circular strings. In the NATD limit, we prove that circular strings disappear and that fast strings realize the dispersion relation of Gubser-Klebanov-Polyakov strings.

[ { "created": "Mon, 27 Jun 2022 18:00:27 GMT", "version": "v1" }, { "created": "Thu, 11 May 2023 11:22:10 GMT", "version": "v2" } ]

2023-05-12

[ [ "Hernandez", "Rafael", "" ], [ "Ruiz", "Roberto", "" ], [ "Sfetsos", "Konstantinos", "" ] ]

The simplest example of the $\lambda$-deformation connects the SU(2) Wess-Zumino-Witten model with the non-Abelian T-dual (NATD) of the SU(2) principal chiral model. We analyze spinning strings with one spin propagating through the $\lambda$-deformation of the target space of the interpolation. We show that the situation apart from the NATD limit parallels the undeformed case. We demonstrate that regular spinning strings are either folded or circular, and that nearly degenerate spinning strings are either nearly point-like, fast, or slow. The effects of the $\lambda$-deformation are both the overall increment of the energy of spinning strings and the enlargement of the gap between the energies of folded and circular strings. In the NATD limit, we prove that circular strings disappear and that fast strings realize the dispersion relation of Gubser-Klebanov-Polyakov strings.

8.633865

8.71253

10.866348

7.884761

8.019696

8.819857

8.202428

7.814604

8.193286

9.709075

7.913545

8.193466

9.068302

8.333852

8.399693

8.209403

8.100336

8.656289

8.292284

9.064295

8.286942

2307.15210

Andreas Fring

Andreas Fring and Bethan Turner

Integrable scattering theory with higher derivative Hamiltonians

18 pages, 5 figures

The European Physical Journal Plus, 138, 1136 (2023)

10.1140/epjp/s13360-023-04726-3

null

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

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

We discuss how a standard scattering theory a of multi-particle theory generalises to systems based on Hamiltonians that involve higher-order derivatives in their quantum mechanical formulation. As concrete examples, we consider Hamiltonian systems built from higher-order charges of Calogero and Calogero-Moser systems. Exploiting the integrability of these systems, we compute the classical phase shifts and briefly comment on the quantum versions of these types of theories.

[ { "created": "Thu, 27 Jul 2023 22:06:14 GMT", "version": "v1" } ]

2023-12-22

[ [ "Fring", "Andreas", "" ], [ "Turner", "Bethan", "" ] ]

We discuss how a standard scattering theory a of multi-particle theory generalises to systems based on Hamiltonians that involve higher-order derivatives in their quantum mechanical formulation. As concrete examples, we consider Hamiltonian systems built from higher-order charges of Calogero and Calogero-Moser systems. Exploiting the integrability of these systems, we compute the classical phase shifts and briefly comment on the quantum versions of these types of theories.

17.333126

18.292013

21.513077

15.702305

17.123842

18.774612

20.918789

17.668266

16.418922

21.120932

16.116673

16.748062

17.389109

16.064514

16.101318

15.852332

15.112587

15.820341

16.319361

17.54044

15.70611

hep-th/0111239

Calin Iuliu Lazaroiu

C. I. Lazaroiu

An analytic torsion for graded D-branes

28 pages, no figures; v2: added a footnote and one reference, corrected a typo

JHEP 0209 (2002) 023

10.1088/1126-6708/2002/09/023

YITP-SB 01-62

hep-th math.DG

null

I consider the semiclassical approximation of the graded Chern-Simons field theories describing certain systems of topological A type branes in the large radius limit of Calabi-Yau compactifications. I show that the semiclassical partition function can be expressed in terms of a certain (differential) numerical invariant which is a version of the analytic torsion of Ray and Singer, but associated with flat graded superbundles. I also discuss a `twisted' version of the Ray-Singer norm, and show its independence of metric data. As illustration, I consider graded D-brane pairs of unit relative grade with a scalar condensate in the boundary condition changing sector. For the particularly simple case when the reference flat connections are trivial, I show that the generalized torsion reduces to a power of the classical Ray-Singer invariant of the base 3-manifold.

[ { "created": "Tue, 27 Nov 2001 02:16:06 GMT", "version": "v1" }, { "created": "Tue, 24 Sep 2002 13:02:51 GMT", "version": "v2" } ]

2009-11-07

[ [ "Lazaroiu", "C. I.", "" ] ]

I consider the semiclassical approximation of the graded Chern-Simons field theories describing certain systems of topological A type branes in the large radius limit of Calabi-Yau compactifications. I show that the semiclassical partition function can be expressed in terms of a certain (differential) numerical invariant which is a version of the analytic torsion of Ray and Singer, but associated with flat graded superbundles. I also discuss a `twisted' version of the Ray-Singer norm, and show its independence of metric data. As illustration, I consider graded D-brane pairs of unit relative grade with a scalar condensate in the boundary condition changing sector. For the particularly simple case when the reference flat connections are trivial, I show that the generalized torsion reduces to a power of the classical Ray-Singer invariant of the base 3-manifold.

13.89084

14.181824

18.346111

13.335792

15.918413

15.881787

14.758331

14.580818

14.781826

19.135632

14.167599

14.156848

15.268435

13.710052

13.919886

14.095817

13.878512

13.799043

14.018145

14.573662

13.672004

hep-th/9505090

Tonatiuh Matos

Tonatiuh Matos (CINVESTAV-Mexico)

COMMENT ON "Integrable Systems in Stringy Gravity"

2 pages, revtex, no figures

null

CINVESTAV-fis gfm 05/95

hep-th

null

This is a comment on the article "Integrable Systems in Stringy Gravity" by D. V. Gal'tsov, Phys. Rev. Lett. 74, 2863, (1995).

[ { "created": "Wed, 17 May 1995 00:54:01 GMT", "version": "v1" } ]

2007-05-23

[ [ "Matos", "Tonatiuh", "", "CINVESTAV-Mexico" ] ]

This is a comment on the article "Integrable Systems in Stringy Gravity" by D. V. Gal'tsov, Phys. Rev. Lett. 74, 2863, (1995).

7.239679

8.046792

7.243232

6.120954

7.190254

7.86078

8.276204

7.460442

7.159206

7.789009

6.608032

6.742848

5.740959

5.979796

6.446703

6.530964

6.266258

6.250972

6.519536

6.478032

5.868922

1912.10973

Tomasz Taylor

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

Extended BMS Algebra of Celestial CFT

25 pages

null

10.1007/JHEP03(2020)130

null

hep-th gr-qc

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

We elaborate on the proposal of flat holography in which four-dimensional physics is encoded in two-dimensional celestial conformal field theory (CCFT). The symmetry underlying CCFT is the extended BMS symmetry of (asymptotically) flat spacetime. We use soft and collinear theorems of Einstein-Yang-Mills theory to derive the OPEs of BMS field operators generating superrotations and supertranslations. The energy-momentum tensor, given by a shadow transform of a soft graviton operator, implements superrotations in the Virasoro subalgebra of $\mathfrak{bms_4}$. Supertranslations can be obtained from a single translation generator along the light-cone direction by commuting it with the energy-momentum tensor. This operator also originates from a soft graviton and generates a flow of conformal dimensions. All supertranslations can be assembled into a single primary conformal field operator on celestial sphere.

[ { "created": "Mon, 23 Dec 2019 17:00:50 GMT", "version": "v1" } ]

2020-04-22

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

We elaborate on the proposal of flat holography in which four-dimensional physics is encoded in two-dimensional celestial conformal field theory (CCFT). The symmetry underlying CCFT is the extended BMS symmetry of (asymptotically) flat spacetime. We use soft and collinear theorems of Einstein-Yang-Mills theory to derive the OPEs of BMS field operators generating superrotations and supertranslations. The energy-momentum tensor, given by a shadow transform of a soft graviton operator, implements superrotations in the Virasoro subalgebra of $\mathfrak{bms_4}$. Supertranslations can be obtained from a single translation generator along the light-cone direction by commuting it with the energy-momentum tensor. This operator also originates from a soft graviton and generates a flow of conformal dimensions. All supertranslations can be assembled into a single primary conformal field operator on celestial sphere.

8.934097

7.576502

9.328362

7.929971

8.285717

9.61493

8.557741

8.27262

8.083164

10.734921

7.750907

7.960771

8.93389

8.297478

8.407146

8.678959

8.536945

8.501927

8.414522

8.610926

8.16256

hep-th/0410210

Anatoly Konechny

Ising model with a boundary magnetic field - an example of a boundary flow

1+20 pages, Latex, 2 eps figures; v2: references added

JHEP0412:058,2004

10.1088/1126-6708/2004/12/058

null

hep-th cond-mat.stat-mech

null

In hep-th/0312197 a nonperturbative proof of the g-theorem of Affleck and Ludwig was put forward. In this paper we illustrate how the proof of hep-th/0312197 works on the example of the 2D Ising model at criticality perturbed by a boundary magnetic field. For this model we present explicit computations of all the quantities entering the proof including various contact terms. A free massless boson with a boundary mass term is considered as a warm-up example.

[ { "created": "Wed, 20 Oct 2004 19:30:45 GMT", "version": "v1" }, { "created": "Wed, 3 Nov 2004 15:22:42 GMT", "version": "v2" } ]

2008-11-26

[ [ "Konechny", "Anatoly", "" ] ]

In hep-th/0312197 a nonperturbative proof of the g-theorem of Affleck and Ludwig was put forward. In this paper we illustrate how the proof of hep-th/0312197 works on the example of the 2D Ising model at criticality perturbed by a boundary magnetic field. For this model we present explicit computations of all the quantities entering the proof including various contact terms. A free massless boson with a boundary mass term is considered as a warm-up example.

8.497723

7.147667

9.26666

6.367878

7.176382

7.210263

7.207006

7.070303

6.889409

10.06914

7.110494

7.271207

8.096345

7.134728

7.112347

7.377028

7.507982

7.260123

7.032526

7.635131

7.3039

0812.4999

Miguel Sabido

W. Guzm\'an, M. Sabido and J. Socorro

Towards noncommutative supersymmetric quantum cosmology

4 pages, 2 figures, revtex

AIP Conf.Proc.1318:209-215,2010

10.1063/1.3531633

null

hep-th

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

Using the factorization approach of quantum mechanics, we obtain a family of iso-spectral scalar potentials for noncommutative quantum cosmology. The family we build is based on a scattering Wheeler-DeWitt solution for the potential $V(\phi)=V_0e^{-\lambda\phi}$. We analyze the effects of noncommutativity on the iso-potentials and the possible relationship between noncommutativity and dark energy.

[ { "created": "Tue, 30 Dec 2008 02:52:37 GMT", "version": "v1" } ]

2010-12-15

[ [ "Guzmán", "W.", "" ], [ "Sabido", "M.", "" ], [ "Socorro", "J.", "" ] ]

Using the factorization approach of quantum mechanics, we obtain a family of iso-spectral scalar potentials for noncommutative quantum cosmology. The family we build is based on a scattering Wheeler-DeWitt solution for the potential $V(\phi)=V_0e^{-\lambda\phi}$. We analyze the effects of noncommutativity on the iso-potentials and the possible relationship between noncommutativity and dark energy.

11.574585

10.042009

9.990301

9.303355

11.380339

9.656993

10.067627

9.129482

10.480965

9.768464

9.268327

10.062199

10.166517

9.967637

10.203727

9.940887

10.382046

9.443813

10.128021

9.98902

9.878258

1912.13444

Anatoly Dymarsky

Anatoly Dymarsky, Kirill Pavlenko, and Dmitry Solovyev

Zero modes of local operators in 2d CFT on a cylinder

20 pages

J. High Energ. Phys. 2020, 172 (2020)

10.1007/JHEP07(2020)172

null

hep-th

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

Studies of Eigenstate Thermalization Hypothesis (ETH) in two-dimensional CFTs call for calculation of the expectation values of local operators in highly excited energy eigenstates. This can be done efficiently by representing zero modes of these operators in terms of the Virasoro algebra generators. In this paper we present a pedagogical introduction explaining how this calculation can be performed analytically or using computer algebra. We illustrate the computation of zero modes by a number of examples and list explicit expressions for all local operators from the vacuum family with the dimension of less or equal than eight. Finally, we derive an explicit expression for the quantum KdV generator $Q_7$ in terms of the Virasoro algebra generators. The obtained results can be used for quantitative studies of ETH at finite value of central charge.

[ { "created": "Tue, 31 Dec 2019 17:22:32 GMT", "version": "v1" } ]

2020-07-27

[ [ "Dymarsky", "Anatoly", "" ], [ "Pavlenko", "Kirill", "" ], [ "Solovyev", "Dmitry", "" ] ]

Studies of Eigenstate Thermalization Hypothesis (ETH) in two-dimensional CFTs call for calculation of the expectation values of local operators in highly excited energy eigenstates. This can be done efficiently by representing zero modes of these operators in terms of the Virasoro algebra generators. In this paper we present a pedagogical introduction explaining how this calculation can be performed analytically or using computer algebra. We illustrate the computation of zero modes by a number of examples and list explicit expressions for all local operators from the vacuum family with the dimension of less or equal than eight. Finally, we derive an explicit expression for the quantum KdV generator $Q_7$ in terms of the Virasoro algebra generators. The obtained results can be used for quantitative studies of ETH at finite value of central charge.

8.929747

8.346386

9.067143

7.974543

8.852521

7.652211

8.08777

8.529615

8.337044

9.677552

8.249418

7.832574

8.875524

8.359427

8.305679

8.438943

8.155347

8.167392

8.412994

8.957745

8.081531

1305.6280

Jaemo Park

Jaemo Park, Kyung-Jae Park

Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group

29 pages; SU(N) dual with N_f=N_c clarified

null

10.1007/JHEP10(2013)198

null

hep-th

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

We work out Seiberg-like dualities for 3d $\mathcal{N}=2$ theories with SU(N) gauge group. We use the $SL(2,\mathbb{Z})$ action on 3d conformal field theories with U(1) global symmetry. One of generator S of $SL(2,\mathbb{Z})$ acts as gauging of the U(1) global symmetry. Utilizing $S=S^{-1}$ up to charge conjugation, we obtain Seiberg-like dual of SU(N) theories by gauging topological U(1) symmetry of the Seiberg-like dual of U(N) theories with the same matter content. We work out the Aharony dualities for SU(N) gauge theory with $N_f$ fundamental/anti-fundamnetal flavors, with/without one adjoint matter with the superpotential. We also work out the Giveon-Kutasov dualities for SU(N) gauge theory with Chern-Simons term and with $N_f$ fundamental/anti-fundamental flavors. For all the proposed dualities, we give various evidences such as chiral ring matching and the superconformal index computations. We find the perfect matchings.

[ { "created": "Mon, 27 May 2013 17:35:56 GMT", "version": "v1" }, { "created": "Sat, 1 Jun 2013 15:14:40 GMT", "version": "v2" } ]

2017-09-07

[ [ "Park", "Jaemo", "" ], [ "Park", "Kyung-Jae", "" ] ]

We work out Seiberg-like dualities for 3d $\mathcal{N}=2$ theories with SU(N) gauge group. We use the $SL(2,\mathbb{Z})$ action on 3d conformal field theories with U(1) global symmetry. One of generator S of $SL(2,\mathbb{Z})$ acts as gauging of the U(1) global symmetry. Utilizing $S=S^{-1}$ up to charge conjugation, we obtain Seiberg-like dual of SU(N) theories by gauging topological U(1) symmetry of the Seiberg-like dual of U(N) theories with the same matter content. We work out the Aharony dualities for SU(N) gauge theory with $N_f$ fundamental/anti-fundamnetal flavors, with/without one adjoint matter with the superpotential. We also work out the Giveon-Kutasov dualities for SU(N) gauge theory with Chern-Simons term and with $N_f$ fundamental/anti-fundamental flavors. For all the proposed dualities, we give various evidences such as chiral ring matching and the superconformal index computations. We find the perfect matchings.

5.146458

5.028922

6.007365

4.961884

4.955611

4.737679

4.808621

5.199572

4.72582

5.942471

4.901711

4.974949

5.286906

5.073454

4.97807

4.961719

5.099055

5.055679

5.016639

5.238305

4.868572

0801.1216

Damiano Anselmi

Weighted scale invariant quantum field theories

29 pages, 3 figures; v2: JHEP version

JHEP 0802:051,2008

10.1088/1126-6708/2008/02/051

IFUP-TH 2007/34

hep-th

null

We study a class of Lorentz violating quantum field theories that contain higher space derivatives, but no higher time derivatives, and become renormalizable in the large N expansion. The fixed points of their renormalization-group flows provide examples of exactly "weighted scale invariant" theories, which are noticeable Lorentz violating generalizations of conformal field theories. We classify the scalar and fermion models that are causal, stable and unitary. Solutions exist also in four and higher dimensions, even and odd. In some explicit four dimensional examples, we compute the correlation functions to the leading order in 1/N and the critical exponents to the subleading order. We construct also RG flows interpolating between pairs of fixed points.

[ { "created": "Tue, 8 Jan 2008 12:16:57 GMT", "version": "v1" }, { "created": "Sun, 17 Feb 2008 15:36:50 GMT", "version": "v2" } ]

2014-11-18

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

We study a class of Lorentz violating quantum field theories that contain higher space derivatives, but no higher time derivatives, and become renormalizable in the large N expansion. The fixed points of their renormalization-group flows provide examples of exactly "weighted scale invariant" theories, which are noticeable Lorentz violating generalizations of conformal field theories. We classify the scalar and fermion models that are causal, stable and unitary. Solutions exist also in four and higher dimensions, even and odd. In some explicit four dimensional examples, we compute the correlation functions to the leading order in 1/N and the critical exponents to the subleading order. We construct also RG flows interpolating between pairs of fixed points.

8.042951

8.717852

9.012983

8.53972

9.251464

7.890427

8.634022

7.888331

8.208056

9.471181

8.407079

8.126706

8.909644

8.043083

8.204186

7.990839

7.851196

8.015484

8.085361

8.357678

7.923531

hep-th/0011190

Jerome P. Gauntlett

Bobby S. Acharya, Jerome P. Gauntlett and Nakwoo Kim

Fivebranes Wrapped On Associative Three-Cycles

Latex, 20 pages, 3 figures; minor corrections, reference added, discussions expanded; Typo corrected, final version to appear in PRD

Phys.Rev. D63 (2001) 106003

10.1103/PhysRevD.63.106003

QMW-PH-00-13, RU-NHETC-2000-50

hep-th

null

We construct supergravity solutions corresponding to fivebranes wrapping associative three-cycles of constant curvature in manifolds of G_2-holonomy. The solutions preserve 2 supercharges and are first constructed in D=7 gauged supergravity and then lifted to D=10,11. We show that the low-energy theory of M-fivebranes wrapped on a compact hyperbolic three-space is dual to a superconformal field theory in D=3 by exhibiting a flow to an AdS_4 region. For IIB-fivebranes wrapped on a three-sphere we speculate on a connection with spontaneous supersymmetry breaking of pure N=1 super Yang-Mills theory in D=3.

[ { "created": "Tue, 21 Nov 2000 16:45:56 GMT", "version": "v1" }, { "created": "Thu, 21 Dec 2000 14:23:18 GMT", "version": "v2" }, { "created": "Thu, 15 Mar 2001 16:14:22 GMT", "version": "v3" }, { "created": "Mon, 2 Apr 2001 15:56:08 GMT", "version": "v4" } ]

2009-10-31

[ [ "Acharya", "Bobby S.", "" ], [ "Gauntlett", "Jerome P.", "" ], [ "Kim", "Nakwoo", "" ] ]

We construct supergravity solutions corresponding to fivebranes wrapping associative three-cycles of constant curvature in manifolds of G_2-holonomy. The solutions preserve 2 supercharges and are first constructed in D=7 gauged supergravity and then lifted to D=10,11. We show that the low-energy theory of M-fivebranes wrapped on a compact hyperbolic three-space is dual to a superconformal field theory in D=3 by exhibiting a flow to an AdS_4 region. For IIB-fivebranes wrapped on a three-sphere we speculate on a connection with spontaneous supersymmetry breaking of pure N=1 super Yang-Mills theory in D=3.

7.041621

6.085311

8.714053

6.013844

7.082628

6.374165

6.439839

5.882283

6.495788

8.465417

6.478377

6.510233

7.494438

6.583502

6.872819

6.734247

6.384604

6.607681

6.806171

7.804209

6.428033

1301.5092

George Georgiou

George Georgiou, Bum-Hoon Lee and Chanyong Park

Correlators of massive string states with conserved currents

17 pages,comments and reference added

null

10.1007/JHEP03(2013)167

null

hep-th gr-qc

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

We calculate correlation functions of the R-current or the stress-energy tensor T_{\mu\nu} with two non-protected operators dual to generic massive string states with rotation in S^5, in the context of the AdS/CFT correspondence. Field theory Ward identities make predictions about the all-loop behaviour of these correlators. In particular, they restrict the fusion coefficient to be proportional to the R-charge of the operators or to their dimension, respectively, with certain coefficients of proportionality. We reproduce these predictions, at strong coupling, using string theory. Furthermore, we point out that the recently observed strong coupling factorisation of 4-point correlators is consistent with conformal symmetry and puts constraints on the strong coupling expressions of 4-point correlators involving R-currents or the stress-energy tensor.

[ { "created": "Tue, 22 Jan 2013 07:28:05 GMT", "version": "v1" }, { "created": "Tue, 12 Feb 2013 15:04:48 GMT", "version": "v2" } ]

2015-06-12

[ [ "Georgiou", "George", "" ], [ "Lee", "Bum-Hoon", "" ], [ "Park", "Chanyong", "" ] ]

We calculate correlation functions of the R-current or the stress-energy tensor T_{\mu\nu} with two non-protected operators dual to generic massive string states with rotation in S^5, in the context of the AdS/CFT correspondence. Field theory Ward identities make predictions about the all-loop behaviour of these correlators. In particular, they restrict the fusion coefficient to be proportional to the R-charge of the operators or to their dimension, respectively, with certain coefficients of proportionality. We reproduce these predictions, at strong coupling, using string theory. Furthermore, we point out that the recently observed strong coupling factorisation of 4-point correlators is consistent with conformal symmetry and puts constraints on the strong coupling expressions of 4-point correlators involving R-currents or the stress-energy tensor.

9.019797

8.724562

10.076975

8.243998

8.080398

9.298968

8.160819

8.680565

8.044713

10.270876

8.366177

8.595601

9.323961

8.270393

8.382586

8.466869

8.149235

8.570073

8.405638

9.055659

8.202852

hep-th/0610328

Jarah Evslin

What Does(n't) K-theory Classify?

91 pages, 1 figure, Prepared for the Second Modave Summer School in Mathematical Physics

null

hep-th

null

We review various K-theory classification conjectures in string theory. Sen conjecture based proposals classify D-brane trajectories in backgrounds with no H flux, while Freed-Witten anomaly based proposals classify conserved RR charges and magnetic RR fluxes in topologically time-independent backgrounds. In exactly solvable CFTs a classification of well-defined boundary states implies that there are branes representing every twisted K-theory class. Some of these proposals fail to respect the self-duality of the RR fields in the democratic formulation of type II supergravity and none respect S-duality in type IIB string theory. We discuss two applications. The twisted K-theory classification has led to a conjecture for the topology of the T-dual of any configuration. In the Klebanov-Strassler geometry twisted K-theory classifies universality classes of baryonic vacua.

[ { "created": "Tue, 31 Oct 2006 15:00:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Evslin", "Jarah", "" ] ]

We review various K-theory classification conjectures in string theory. Sen conjecture based proposals classify D-brane trajectories in backgrounds with no H flux, while Freed-Witten anomaly based proposals classify conserved RR charges and magnetic RR fluxes in topologically time-independent backgrounds. In exactly solvable CFTs a classification of well-defined boundary states implies that there are branes representing every twisted K-theory class. Some of these proposals fail to respect the self-duality of the RR fields in the democratic formulation of type II supergravity and none respect S-duality in type IIB string theory. We discuss two applications. The twisted K-theory classification has led to a conjecture for the topology of the T-dual of any configuration. In the Klebanov-Strassler geometry twisted K-theory classifies universality classes of baryonic vacua.

15.902467

18.474592

18.467728

15.545838

17.256491

15.885461

16.986164

16.944403

16.791042

21.78989

15.209029

15.738943

16.30526

15.133619

15.971332

15.439964

16.178101

16.033842

15.510944

16.021996

15.350905

0709.2914

James Gray

James Gray, Andr\'e Lukas and Burt Ovrut

Flux, Gaugino Condensation and Anti-Branes in Heterotic M-theory

40 pages, 1 figure

Phys.Rev.D76:126012,2007

10.1103/PhysRevD.76.126012

null

hep-th

null

We present the potential energy due to flux and gaugino condensation in heterotic M-theory compactifications with anti-branes in the vacuum. For reasons which we explain in detail, the contributions to the potential due to flux are not modified from those in supersymmetric contexts. The discussion of gaugino condensation is, however, changed by the presence of anti-branes. We show how a careful microscopic analysis of the system allows us to use standard results in supersymmetric gauge theory in describing such effects - despite the explicit supersymmetry breaking which is present. Not surprisingly, the significant effect of anti-branes on the threshold corrections to the gauge kinetic functions greatly alters the potential energy terms arising from gaugino condensation.

[ { "created": "Tue, 18 Sep 2007 20:39:45 GMT", "version": "v1" } ]

2008-11-26

[ [ "Gray", "James", "" ], [ "Lukas", "André", "" ], [ "Ovrut", "Burt", "" ] ]

We present the potential energy due to flux and gaugino condensation in heterotic M-theory compactifications with anti-branes in the vacuum. For reasons which we explain in detail, the contributions to the potential due to flux are not modified from those in supersymmetric contexts. The discussion of gaugino condensation is, however, changed by the presence of anti-branes. We show how a careful microscopic analysis of the system allows us to use standard results in supersymmetric gauge theory in describing such effects - despite the explicit supersymmetry breaking which is present. Not surprisingly, the significant effect of anti-branes on the threshold corrections to the gauge kinetic functions greatly alters the potential energy terms arising from gaugino condensation.

10.613242

10.425333

11.158796

9.838122

9.965168

10.196348

10.206466

9.621815

10.514194

12.329616

9.747047

9.791057

10.173054

9.823897

9.915752

10.16762

9.852558

10.000489

9.972484

10.228939

9.698053

hep-th/9408097

null

A. Yu. Alekseev, H. Grosse, V. Schomerus

Combinatorial Quantization of the Hamiltonian Chern-Simons Theory II

50 pages; HUTMP 94-B337, ESI 113 (1994), UUITP 11/94, UWThPh-1994-26

Commun.Math.Phys. 174 (1995) 561-604

10.1007/BF02101528

null

hep-th

null

This paper further develops the combinatorial approach to quantization of the Hamiltonian Chern Simons theory advertised in \cite{AGS}. Using the theory of quantum Wilson lines, we show how the Verlinde algebra appears within the context of quantum group gauge theory. This allows to discuss flatness of quantum connections so that we can give a mathe- matically rigorous definition of the algebra of observables $\A_{CS}$ of the Chern Simons model. It is a *-algebra of ``functions on the quantum moduli space of flat connections'' and comes equipped with a positive functional $\omega$ (``integration''). We prove that this data does not depend on the particular choices which have been made in the construction. Following ideas of Fock and Rosly \cite{FoRo}, the algebra $\A_{CS}$ provides a deformation quantization of the algebra of functions on the moduli space along the natural Poisson bracket induced by the Chern Simons action. We evaluate a volume of the quantized moduli space and prove that it coincides with the Verlinde number. This answer is also interpreted as a partition partition function of the lattice Yang-Mills theory corresponding to a quantum gauge group.

[ { "created": "Wed, 17 Aug 1994 14:18:44 GMT", "version": "v1" } ]

2015-06-26

[ [ "Alekseev", "A. Yu.", "" ], [ "Grosse", "H.", "" ], [ "Schomerus", "V.", "" ] ]

This paper further develops the combinatorial approach to quantization of the Hamiltonian Chern Simons theory advertised in \cite{AGS}. Using the theory of quantum Wilson lines, we show how the Verlinde algebra appears within the context of quantum group gauge theory. This allows to discuss flatness of quantum connections so that we can give a mathe- matically rigorous definition of the algebra of observables $\A_{CS}$ of the Chern Simons model. It is a *-algebra of ``functions on the quantum moduli space of flat connections'' and comes equipped with a positive functional $\omega$ (``integration''). We prove that this data does not depend on the particular choices which have been made in the construction. Following ideas of Fock and Rosly \cite{FoRo}, the algebra $\A_{CS}$ provides a deformation quantization of the algebra of functions on the moduli space along the natural Poisson bracket induced by the Chern Simons action. We evaluate a volume of the quantized moduli space and prove that it coincides with the Verlinde number. This answer is also interpreted as a partition partition function of the lattice Yang-Mills theory corresponding to a quantum gauge group.

6.869128

7.756094

8.082237

7.452389

8.020685

7.981889

7.875463

7.284832

7.232982

8.495555

7.606384

7.024091

7.273561

7.100151

7.141042

7.169367

7.262029

7.233736

7.079915

7.090682

7.05014

hep-th/9406158

null

Sergio A. Hojman

Non-Lagrangian Construction of Hamiltonian Structures

22 pages, UCH-FT940214 , (LaTeX)

null

hep-th gr-qc

null

A method to construct Hamiltonian theories for systems of both ordinary and partial differential equations is presented. The knowledge of a Lagrangian is not at all necessary to achieve the result. The only ingredients required for the construction are one solution of the symmetry (perturbation) equation and one constant of the motion of the original system. It turns out that the Poisson bracket structure for the dynamical variables is far from being uniquely determined by the differential equations of motion. Examples in classical mechanics as well as in field theory are presented.

[ { "created": "Thu, 23 Jun 1994 17:37:49 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hojman", "Sergio A.", "" ] ]

A method to construct Hamiltonian theories for systems of both ordinary and partial differential equations is presented. The knowledge of a Lagrangian is not at all necessary to achieve the result. The only ingredients required for the construction are one solution of the symmetry (perturbation) equation and one constant of the motion of the original system. It turns out that the Poisson bracket structure for the dynamical variables is far from being uniquely determined by the differential equations of motion. Examples in classical mechanics as well as in field theory are presented.

9.18171

9.11939

9.978506

8.849804

9.499397

9.396494

9.205323

9.136638

9.187845

10.340014

8.681066

8.434022

9.15358

8.768771

8.47796

8.497943

8.55111

8.541287

8.923198

9.204882

8.662714

hep-th/0201141

Hiroki Emoto

Hiroki Emoto, Yutaka Hosotani and Takahiro Kubota

Cosmology in the Einstein-Electroweak Theory and Magnetic Fields

32 pages, 16 figures

Prog.Theor.Phys. 108 (2002) 157-183

10.1143/PTP.108.157

OU-HET 402 / 2002

hep-th gr-qc

null

In the SU(2)_{L} x U(1)_{Y} standard electroweak theory coupled with the Einstein gravity, new topological configurations naturally emerge, if the spatial section of the universe is globally a three-sphere(S^3) with a small radius. The SU(2)_L gauge fields and Higgs fields wrap the space nontrivially, residing at or near a local minimum of the potential. As the universe expands, however, the shape of the potential rapidly changes and the local minimum eventually disappears. The fields then start to roll down towards the absolute minimum. In the absence of the U(1)_Y gauge interaction the resulting space is a homogeneous and isotropic S^3, but the U(1)_Y gauge interaction necessarily induces anisotropy while preserving the homogeneity of the space. Large magnetic fields are generically produced over a substantial period of the rolling-over transition. The magnetic field configuration is characterized by the Hopf map.

[ { "created": "Fri, 18 Jan 2002 09:41:51 GMT", "version": "v1" } ]

2009-11-07

[ [ "Emoto", "Hiroki", "" ], [ "Hosotani", "Yutaka", "" ], [ "Kubota", "Takahiro", "" ] ]

In the SU(2)_{L} x U(1)_{Y} standard electroweak theory coupled with the Einstein gravity, new topological configurations naturally emerge, if the spatial section of the universe is globally a three-sphere(S^3) with a small radius. The SU(2)_L gauge fields and Higgs fields wrap the space nontrivially, residing at or near a local minimum of the potential. As the universe expands, however, the shape of the potential rapidly changes and the local minimum eventually disappears. The fields then start to roll down towards the absolute minimum. In the absence of the U(1)_Y gauge interaction the resulting space is a homogeneous and isotropic S^3, but the U(1)_Y gauge interaction necessarily induces anisotropy while preserving the homogeneity of the space. Large magnetic fields are generically produced over a substantial period of the rolling-over transition. The magnetic field configuration is characterized by the Hopf map.

8.241364

8.20144

8.165461

7.640986

8.226501

7.945401

8.362877

7.943766

7.347686

6.895668

8.208959

7.945768

7.815576

7.646247

7.892013

7.999955

8.109621

7.845995

7.718166

7.428751

7.867433

hep-th/9805159

Miransky

V. A. Miransky

Magnetic Catalysis of Dynamical Symmetry Breaking and Aharonov-Bohm Effect

8 pages, RevTex. Based on the talk given at the Workshop ``Nonperturbative Methods in Quantum Field Theory'' (February 1998, Adelaide). A reference is added

null

hep-th hep-ph quant-ph

null

The phenomenon of the magnetic catalysis of dynamical symmetry breaking is based on the dimensional reduction $D\to D-2$ in the dynamics of fermion pairing in a magnetic field. We discuss similarities between this phenomenon and the Aharonov-Bohm effect. This leads to the interpretation of the dynamics of the (1+1)-dimensional Gross-Neveu model with a non-integer number of fermion colors as a quantum field theoretical analogue of the Aharonov-Bohm dynamics.

[ { "created": "Mon, 25 May 1998 11:45:21 GMT", "version": "v1" }, { "created": "Sat, 30 May 1998 03:34:06 GMT", "version": "v2" } ]

2007-05-23

[ [ "Miransky", "V. A.", "" ] ]

The phenomenon of the magnetic catalysis of dynamical symmetry breaking is based on the dimensional reduction $D\to D-2$ in the dynamics of fermion pairing in a magnetic field. We discuss similarities between this phenomenon and the Aharonov-Bohm effect. This leads to the interpretation of the dynamics of the (1+1)-dimensional Gross-Neveu model with a non-integer number of fermion colors as a quantum field theoretical analogue of the Aharonov-Bohm dynamics.

5.858543

5.88468

5.554598

5.313623

5.501842

5.550581

5.404421

5.850988

4.965313

5.982032

5.466706

5.404695

5.586581

5.376029

5.512152

5.470361

5.497342

5.420082

5.58548

5.421942

5.597305

hep-th/9303026

Alexander Gorsky

A. S. Gorsky, A. V. Zabrodin

Degenerations of Sklyanin algebra and Askey-Wilson polynomials

7 pages

J.Phys. A26 (1993) L635-L640

10.1088/0305-4470/26/15/004

UUITP-7/93

hep-th math.QA

null

A new trigonometric degeneration of the Sklyanin algebra is found and the functional realization of its representations in space of polynomials in one variable is studied. A further contraction gives the standard quantum algebra $U_{q}(sl(2))$. It is shown that the degenerate Sklyanin algebra contains a subalgebra isomorphic to algebra of functions on the quantum sphere $(SU(2)/SO(2))_{q^{1\over2}}$. The diagonalization of general quadratic form in its generators leads in the functional realization to the difference equation for Askey-Wilson polynomials.

[ { "created": "Thu, 4 Mar 1993 20:46:57 GMT", "version": "v1" } ]

2009-10-22

[ [ "Gorsky", "A. S.", "" ], [ "Zabrodin", "A. V.", "" ] ]

A new trigonometric degeneration of the Sklyanin algebra is found and the functional realization of its representations in space of polynomials in one variable is studied. A further contraction gives the standard quantum algebra $U_{q}(sl(2))$. It is shown that the degenerate Sklyanin algebra contains a subalgebra isomorphic to algebra of functions on the quantum sphere $(SU(2)/SO(2))_{q^{1\over2}}$. The diagonalization of general quadratic form in its generators leads in the functional realization to the difference equation for Askey-Wilson polynomials.

8.848699

8.653514

9.12212

7.856575

8.425364

8.632497

9.074302

8.76772

7.768606

10.431499

8.205673

7.902951

8.806085

7.919434

8.144821

7.825645

7.897984

7.884001

8.071852

8.716376

8.044579

hep-th/9112046

Kanehisa Takasaki

Kanehisa Takasaki and Takashi Takebe

SDiff(2) KP hierarchy

34 pages (errors in earlier and published versions are corrected)

Int.J.Mod.Phys. A7S1B (1992) 889-922

10.1142/S0217751X92004099

RIMS-814

hep-th nlin.SI solv-int

null

An analogue of the KP hierarchy, the SDiff(2) KP hierarchy, related to the group of area-preserving diffeomorphisms on a cylinder is proposed. An improved Lax formalism of the KP hierarchy is shown to give a prototype of this new hierarchy. Two important potentials, $S$ and $\tau$, are introduced. The latter is a counterpart of the tau function of the ordinary KP hierarchy. A Riemann-Hilbert problem relative to the group of area-diffeomorphisms gives a twistor theoretical description (nonlinear graviton construction) of general solutions. A special family of solutions related to topological minimal models are identified in the framework of the Riemann-Hilbert problem. Further, infinitesimal symmetries of the hierarchy are constructed. At the level of the tau function, these symmetries obey anomalous commutation relations, hence leads to a central extension of the algebra of infinitesimal area-preserving diffeomorphisms (or of the associated Poisson algebra).

[ { "created": "Wed, 18 Dec 1991 05:35:59 GMT", "version": "v1" }, { "created": "Mon, 1 Feb 1993 03:24:32 GMT", "version": "v2" } ]

2009-10-22

[ [ "Takasaki", "Kanehisa", "" ], [ "Takebe", "Takashi", "" ] ]

An analogue of the KP hierarchy, the SDiff(2) KP hierarchy, related to the group of area-preserving diffeomorphisms on a cylinder is proposed. An improved Lax formalism of the KP hierarchy is shown to give a prototype of this new hierarchy. Two important potentials, $S$ and $\tau$, are introduced. The latter is a counterpart of the tau function of the ordinary KP hierarchy. A Riemann-Hilbert problem relative to the group of area-diffeomorphisms gives a twistor theoretical description (nonlinear graviton construction) of general solutions. A special family of solutions related to topological minimal models are identified in the framework of the Riemann-Hilbert problem. Further, infinitesimal symmetries of the hierarchy are constructed. At the level of the tau function, these symmetries obey anomalous commutation relations, hence leads to a central extension of the algebra of infinitesimal area-preserving diffeomorphisms (or of the associated Poisson algebra).

7.985089

7.658022

8.954362

7.704032

8.086558

8.807131

7.678786

8.139771

7.456879

9.361507

7.757801

7.664079

8.111318

7.884669

7.771758

7.931314

7.86889

7.907229

7.794365

8.114221

7.732614

1912.01055

Dimitris Skliros P.

Dimitri Skliros and Dieter Luest

Handle Operators in String Theory

328 pages, 34 figures. Various typos and an inconsequential error in Sec. 6.5 have been corrected. This version is an update to the published version

Phys. Rept. 897 (2021) 1-180

10.1016/j.physrep.2020.10.002

null

hep-th math-ph math.MP

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

We derive how to incorporate topological features of Riemann surfaces in string amplitudes by insertions of bi-local operators called handle operators. The resulting formalism is exact and globally well-defined in moduli space. After a detailed and pedagogical discussion of Riemann surfaces, complex structure deformations, global vs local aspects, boundary terms, an explicit choice of gluing-compatible and global (modulo U(1)) coordinates (termed `holomorphic normal coordinates'), finite changes in normal ordering, and factorisation of the path integral measure, we construct these handle operators explicitly. Adopting an offshell local coherent vertex operator basis for the latter, and gauge fixing invariance under Weyl transformations using holomorphic normal coordinates (developed by Polchinski), is particularly efficient. All loop amplitudes are gauge-invariant (BRST-exact terms decouple up to boundary terms in moduli space), and reparametrisation invariance is manifest, for arbitrary worldsheet curvature and topology (subject to the Euler number constraint). We provide a number of complementary viewpoints and consistency checks (including one-loop modular invariance, we compute all one- and two-point sphere amplitudes, glue two three-point sphere amplitudes to reproduce the exact four-point sphere amplitude, etc.).

[ { "created": "Mon, 2 Dec 2019 19:37:23 GMT", "version": "v1" }, { "created": "Tue, 11 Jul 2023 18:52:33 GMT", "version": "v2" } ]

2023-11-07

[ [ "Skliros", "Dimitri", "" ], [ "Luest", "Dieter", "" ] ]

We derive how to incorporate topological features of Riemann surfaces in string amplitudes by insertions of bi-local operators called handle operators. The resulting formalism is exact and globally well-defined in moduli space. After a detailed and pedagogical discussion of Riemann surfaces, complex structure deformations, global vs local aspects, boundary terms, an explicit choice of gluing-compatible and global (modulo U(1)) coordinates (termed `holomorphic normal coordinates'), finite changes in normal ordering, and factorisation of the path integral measure, we construct these handle operators explicitly. Adopting an offshell local coherent vertex operator basis for the latter, and gauge fixing invariance under Weyl transformations using holomorphic normal coordinates (developed by Polchinski), is particularly efficient. All loop amplitudes are gauge-invariant (BRST-exact terms decouple up to boundary terms in moduli space), and reparametrisation invariance is manifest, for arbitrary worldsheet curvature and topology (subject to the Euler number constraint). We provide a number of complementary viewpoints and consistency checks (including one-loop modular invariance, we compute all one- and two-point sphere amplitudes, glue two three-point sphere amplitudes to reproduce the exact four-point sphere amplitude, etc.).

16.10457

18.373581

18.056459

16.057962

18.756601

17.690248

17.276354

16.881931

16.585529

18.814808

15.184572

16.003914

15.598797

15.485862

15.872481

15.434775

15.701365

15.584949

15.363072

16.230062

15.384871

1610.09259

Dongmin Gang

Jin-Beom Bae, Dongmin Gang, Jaehoon Lee

3d $\mathcal{N}=2$ minimal SCFTs from Wrapped M5-branes

32 pages, 7 figures; v2: minor corrections, references added

null

10.1007/JHEP08(2017)118

IPMU16-0085, KIAS-P16081

hep-th math-ph math.MP

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

We study CFT data of 3-dimensional superconformal field theories (SCFTs) arising from wrapped two M5-branes on closed hyperbolic 3-manifolds. Via so-called 3d/3d correspondence, central charges of these SCFTs are related to a $SL(2)$ Chern-Simons (CS) invariant on the 3-manifolds. We give a rigorous definition of the invariant in terms of resurgence theory and a state-integral model for the complex CS theory. We numerically evaluate the central charges for several closed 3-manifolds with small hyperbolic volume. The computation suggests that the wrapped M5-brane systems give infinitely many discrete SCFTs with small central charges. We also analyze these `minimal' SCFTs in the eye of 3d $\mathcal{N}=2$ superconformal bootstrap.

[ { "created": "Fri, 28 Oct 2016 15:14:47 GMT", "version": "v1" }, { "created": "Wed, 16 Nov 2016 19:44:59 GMT", "version": "v2" } ]

2017-09-13

[ [ "Bae", "Jin-Beom", "" ], [ "Gang", "Dongmin", "" ], [ "Lee", "Jaehoon", "" ] ]

We study CFT data of 3-dimensional superconformal field theories (SCFTs) arising from wrapped two M5-branes on closed hyperbolic 3-manifolds. Via so-called 3d/3d correspondence, central charges of these SCFTs are related to a $SL(2)$ Chern-Simons (CS) invariant on the 3-manifolds. We give a rigorous definition of the invariant in terms of resurgence theory and a state-integral model for the complex CS theory. We numerically evaluate the central charges for several closed 3-manifolds with small hyperbolic volume. The computation suggests that the wrapped M5-brane systems give infinitely many discrete SCFTs with small central charges. We also analyze these `minimal' SCFTs in the eye of 3d $\mathcal{N}=2$ superconformal bootstrap.

5.932496

5.915284

8.023426

5.920739

6.587852

6.06111

5.645072

5.863161

6.099606

8.273778

5.85841

5.986092

6.324735

5.658309

5.613576

5.811924

5.784315

5.815635

5.80338

6.120782

5.762028

2205.12321

Roberto Zucchini

Quantum field theoretic representation of Wilson surfaces: II higher topological coadjoint orbit model

84 pages, no figures. Typos corrected. Several important remarks added

null

10.1007/JHEP01(2023)016

DIFA UNIBO/22

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

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

This is the second of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher 2--dimensional counterpart of the topological coadjoint orbit quantum mechanical model computing Wilson lines is presented based on the derived geometric framework, which has shown its usefulness in 4--dimensional higher Chern--Simons theory. Its symmetries are described. Its quantization is analyzed in the functional integral framework. Strong evidence is provided that the model does indeed underlie the partition function realization of Wilson surfaces. The emergence of the vanishing fake curvature condition is explained and homotopy invariance for a flat higher gauge field is shown. The model's Hamiltonian formulation is further furnished highlighting the model's close relationship to the derived Kirillov-Kostant-Souriau theory developed in the companion paper.

[ { "created": "Tue, 24 May 2022 19:03:51 GMT", "version": "v1" }, { "created": "Mon, 14 Nov 2022 10:56:23 GMT", "version": "v2" } ]

2023-01-25

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

This is the second of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher 2--dimensional counterpart of the topological coadjoint orbit quantum mechanical model computing Wilson lines is presented based on the derived geometric framework, which has shown its usefulness in 4--dimensional higher Chern--Simons theory. Its symmetries are described. Its quantization is analyzed in the functional integral framework. Strong evidence is provided that the model does indeed underlie the partition function realization of Wilson surfaces. The emergence of the vanishing fake curvature condition is explained and homotopy invariance for a flat higher gauge field is shown. The model's Hamiltonian formulation is further furnished highlighting the model's close relationship to the derived Kirillov-Kostant-Souriau theory developed in the companion paper.

14.503661

11.753087

14.477144

12.2681

12.263929

12.534034

12.004344

11.95125

10.821812

16.620621

11.945644

12.565412

13.85285

12.622682

12.627

12.471451

12.656139

12.80652

12.821026

13.757041

12.562787

0812.4287

Petr Horava

Membranes at Quantum Criticality

35 pages; v2: typos corrected; v3: additional typos corrected

JHEP 0903:020,2009

10.1088/1126-6708/2009/03/020

null

hep-th cond-mat.mes-hall gr-qc hep-ph

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

We propose a quantum theory of membranes designed such that the ground-state wavefunction of the membrane with compact spatial topology \Sigma_h reproduces the partition function of the bosonic string on worldsheet \Sigma_h. The construction involves worldvolume matter at quantum criticality, described in the simplest case by Lifshitz scalars with dynamical critical exponent z=2. This matter system must be coupled to a novel theory of worldvolume gravity, also exhibiting quantum criticality with z=2. We first construct such a nonrelativistic "gravity at a Lifshitz point" with z=2 in D+1 spacetime dimensions, and then specialize to the critical case of D=2 suitable for the membrane worldvolume. We also show that in the second-quantized framework, the string partition function is reproduced if the spacetime ground state takes the form of a Bose-Einstein condensate of membranes in their first-quantized ground states, correlated across all genera.

[ { "created": "Tue, 23 Dec 2008 19:14:51 GMT", "version": "v1" }, { "created": "Tue, 27 Jan 2009 00:20:24 GMT", "version": "v2" }, { "created": "Tue, 24 Feb 2009 21:16:10 GMT", "version": "v3" } ]

2009-03-27

[ [ "Horava", "Petr", "" ] ]

We propose a quantum theory of membranes designed such that the ground-state wavefunction of the membrane with compact spatial topology \Sigma_h reproduces the partition function of the bosonic string on worldsheet \Sigma_h. The construction involves worldvolume matter at quantum criticality, described in the simplest case by Lifshitz scalars with dynamical critical exponent z=2. This matter system must be coupled to a novel theory of worldvolume gravity, also exhibiting quantum criticality with z=2. We first construct such a nonrelativistic "gravity at a Lifshitz point" with z=2 in D+1 spacetime dimensions, and then specialize to the critical case of D=2 suitable for the membrane worldvolume. We also show that in the second-quantized framework, the string partition function is reproduced if the spacetime ground state takes the form of a Bose-Einstein condensate of membranes in their first-quantized ground states, correlated across all genera.

9.290335

9.578991

9.975967

8.957894

9.261375

9.773396

8.514403

8.772249

9.139637

10.860872

9.012889

9.135862

8.810528

8.762753

9.077509

9.045809

9.089381

8.846862

8.624433

9.096839

8.782746

hep-th/0402108

Martin B. Halpern

M. B. Halpern and C. Helfgott

A Basic Class of Twisted Open WZW Strings

65 pages

Int.J.Mod.Phys.A19:3481-3540,2004

10.1142/S0217751X04019421

null

hep-th

null

Recently, Giusto and Halpern reported the open-string description of a certain basic class of untwisted open WZW strings, including their associated non-commutative geometry and open-string KZ equations. In this paper, we combine this development with results from the theory of current-algebraic orbifolds to find the open-string description of a corresponding basic class of {\it twisted} open WZW strings, which begin and end on different WZW branes. The basic class of twisted open WZW strings is in 1-to-1 correspondence with the twisted sectors of all closed-string WZW orbifolds, and moreover, the basic class can be decomposed into a large collection of open-string WZW orbifolds. At the classical level, these open-string orbifolds exhibit new {\it twisted non-commutative geometries}, and we also find the relevant {\it twisted open-string KZ equations} which describe these orbifolds at the quantum level. In a related development, we also formulate the closed-string description (in terms of twisted boundary states) of the {\it general} twisted open WZW string.

[ { "created": "Sat, 14 Feb 2004 04:41:26 GMT", "version": "v1" }, { "created": "Sat, 17 Jul 2004 05:46:55 GMT", "version": "v2" } ]

2014-11-18

[ [ "Halpern", "M. B.", "" ], [ "Helfgott", "C.", "" ] ]

Recently, Giusto and Halpern reported the open-string description of a certain basic class of untwisted open WZW strings, including their associated non-commutative geometry and open-string KZ equations. In this paper, we combine this development with results from the theory of current-algebraic orbifolds to find the open-string description of a corresponding basic class of {\it twisted} open WZW strings, which begin and end on different WZW branes. The basic class of twisted open WZW strings is in 1-to-1 correspondence with the twisted sectors of all closed-string WZW orbifolds, and moreover, the basic class can be decomposed into a large collection of open-string WZW orbifolds. At the classical level, these open-string orbifolds exhibit new {\it twisted non-commutative geometries}, and we also find the relevant {\it twisted open-string KZ equations} which describe these orbifolds at the quantum level. In a related development, we also formulate the closed-string description (in terms of twisted boundary states) of the {\it general} twisted open WZW string.

7.555145

7.261498

8.339988

6.858932

7.182574

6.520648

6.905854

6.873007

7.085489

8.817419

7.295591

7.006574

7.577445

6.921536

7.164856

7.267126

7.285657

6.967227

7.047687

7.513874

7.134253

1902.09504

Eric R. Sharpe

Richard Eager, Guglielmo Lockhart, and Eric Sharpe

Hidden exceptional symmetry in the pure spinor superstring

8 pages, 1 figure; v2: added references, minor updates

Phys. Rev. D 101, 026006 (2020)

10.1103/PhysRevD.101.026006

null

hep-th

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

The pure spinor formulation of superstring theory includes an interacting sector of central charge $c_{\lambda}=22$, which can be realized as a curved $\beta\gamma$ system on the cone over the orthogonal Grassmannian $\text{OG}^{+}(5,10)$. We find that the spectrum of the $\beta\gamma$ system organizes into representations of the $\mathfrak{g}=\mathfrak{e}_6$ affine algebra at level $-3$, whose $\mathfrak{so}(10)_{-3}\oplus {\mathfrak u}(1)_{-4}$ subalgebra encodes the rotational and ghost symmetries of the system. As a consequence, the pure spinor partition function decomposes as a sum of affine $\mathfrak{e}_6$ characters. We interpret this as an instance of a more general pattern of enhancements in curved $\beta\gamma$ systems, which also includes the cases $\mathfrak{g}=\mathfrak{so}(8)$ and $\mathfrak{e}_7$, corresponding to target spaces that are cones over the complex Grassmannian $\text{Gr}(2,4)$ and the complex Cayley plane $\mathbb{OP}^2$. We identify these curved $\beta\gamma$ systems with the chiral algebras of certain $2d$ $(0,2)$ CFTs arising from twisted compactification of 4d $\mathcal{N}=2$ SCFTs on $S^2$.

[ { "created": "Mon, 25 Feb 2019 18:31:35 GMT", "version": "v1" }, { "created": "Tue, 9 Apr 2019 01:43:53 GMT", "version": "v2" } ]

2020-01-15

[ [ "Eager", "Richard", "" ], [ "Lockhart", "Guglielmo", "" ], [ "Sharpe", "Eric", "" ] ]

The pure spinor formulation of superstring theory includes an interacting sector of central charge $c_{\lambda}=22$, which can be realized as a curved $\beta\gamma$ system on the cone over the orthogonal Grassmannian $\text{OG}^{+}(5,10)$. We find that the spectrum of the $\beta\gamma$ system organizes into representations of the $\mathfrak{g}=\mathfrak{e}_6$ affine algebra at level $-3$, whose $\mathfrak{so}(10)_{-3}\oplus {\mathfrak u}(1)_{-4}$ subalgebra encodes the rotational and ghost symmetries of the system. As a consequence, the pure spinor partition function decomposes as a sum of affine $\mathfrak{e}_6$ characters. We interpret this as an instance of a more general pattern of enhancements in curved $\beta\gamma$ systems, which also includes the cases $\mathfrak{g}=\mathfrak{so}(8)$ and $\mathfrak{e}_7$, corresponding to target spaces that are cones over the complex Grassmannian $\text{Gr}(2,4)$ and the complex Cayley plane $\mathbb{OP}^2$. We identify these curved $\beta\gamma$ systems with the chiral algebras of certain $2d$ $(0,2)$ CFTs arising from twisted compactification of 4d $\mathcal{N}=2$ SCFTs on $S^2$.

4.32523

4.394387

4.874333

4.243739

4.422536

4.539312

4.409205

4.35076

4.239759

4.996625

4.215653

4.114448

4.293337

4.134577

4.229833

4.137192

4.139822

4.103812

4.128557

4.283411

4.137247

1505.02243

Szabolcs Zakany

Rinat Kashaev, Marcos Marino, Szabolcs Zakany

Matrix models from operators and topological strings, 2

37 pages, 4 figures; v2: misprints corrected, comments and Appendix added

null

10.1007/s00023-016-0471-z

null

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

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

The quantization of mirror curves to toric Calabi--Yau threefolds leads to trace class operators, and it has been conjectured that the spectral properties of these operators provide a non-perturbative realization of topological string theory on these backgrounds. In this paper, we find an explicit form for the integral kernel of the trace class operator in the case of local P1xP1, in terms of Faddeev's quantum dilogarithm. The matrix model associated to this integral kernel is an O(2) model, which generalizes the ABJ(M) matrix model. We find its exact planar limit, and we provide detailed evidence that its 1/N expansion captures the all genus topological string free energy on local P1xP1.

[ { "created": "Sat, 9 May 2015 08:28:48 GMT", "version": "v1" }, { "created": "Mon, 1 Feb 2016 16:47:38 GMT", "version": "v2" } ]

2016-11-03

[ [ "Kashaev", "Rinat", "" ], [ "Marino", "Marcos", "" ], [ "Zakany", "Szabolcs", "" ] ]

The quantization of mirror curves to toric Calabi--Yau threefolds leads to trace class operators, and it has been conjectured that the spectral properties of these operators provide a non-perturbative realization of topological string theory on these backgrounds. In this paper, we find an explicit form for the integral kernel of the trace class operator in the case of local P1xP1, in terms of Faddeev's quantum dilogarithm. The matrix model associated to this integral kernel is an O(2) model, which generalizes the ABJ(M) matrix model. We find its exact planar limit, and we provide detailed evidence that its 1/N expansion captures the all genus topological string free energy on local P1xP1.

5.639859

5.122852

7.836565

5.231197

5.689362

5.340068

5.030191

5.040029

4.875362

8.495019

5.132165

5.244171

6.283514

5.389366

5.417145

5.206648

5.518302

5.487742

5.156708

6.078178

5.098262

hep-th/9904196

Sergei Ketov

Sergei V. Ketov (ITP, University of Hannover)

Exact hypermultiplet dynamics in four dimensions

14 pages, LaTeX, 1 figure; substantial reduction (by 1/3)

Phys.Lett. B469 (1999) 136-144

10.1016/S0370-2693(99)01221-6

DESY 99--050 and ITP-UH-10/99

hep-th

null

We use N=2 harmonic and projective superspaces to formulate the most general `Ansatz' for the SU(2)_R invariant hypermultiplet low-energy effective action (LEEA) in four dimensions, which describes the two-parametric family of the hyper-K"ahler metrics generalizing the Atiyah-Hitchin metric. We then demonstrate in the very explicit and manifestly N=2 supersymmetric way that the (magnetically charged, massive) single hypermultiplet LEEA in the underlying non-abelian N=2 supersymmetric quantum field theory can receive both perturbative (e.g., in the Coulomb branch) and non-perturbative (e.g., in the Higgs branch) quantum corrections. The manifestly N=2 supersymmetric Feynman rules in harmonic superspace can be used to calculate the perturbative corrections described by the Taub-NUT metric. The non-perturbative corrections (due to instantons and anti-instantons) can be encoded in terms of an elliptic curve, which is very reminiscent to the Seiberg-Witten theory. Our four-dimensional results agree with the three-dimensional Seiberg-Witten theory and instanton calculations.

[ { "created": "Wed, 28 Apr 1999 14:49:41 GMT", "version": "v1" }, { "created": "Fri, 1 Oct 1999 08:03:12 GMT", "version": "v2" } ]

2009-10-31

[ [ "Ketov", "Sergei V.", "", "ITP, University of Hannover" ] ]

We use N=2 harmonic and projective superspaces to formulate the most general `Ansatz' for the SU(2)_R invariant hypermultiplet low-energy effective action (LEEA) in four dimensions, which describes the two-parametric family of the hyper-K"ahler metrics generalizing the Atiyah-Hitchin metric. We then demonstrate in the very explicit and manifestly N=2 supersymmetric way that the (magnetically charged, massive) single hypermultiplet LEEA in the underlying non-abelian N=2 supersymmetric quantum field theory can receive both perturbative (e.g., in the Coulomb branch) and non-perturbative (e.g., in the Higgs branch) quantum corrections. The manifestly N=2 supersymmetric Feynman rules in harmonic superspace can be used to calculate the perturbative corrections described by the Taub-NUT metric. The non-perturbative corrections (due to instantons and anti-instantons) can be encoded in terms of an elliptic curve, which is very reminiscent to the Seiberg-Witten theory. Our four-dimensional results agree with the three-dimensional Seiberg-Witten theory and instanton calculations.

6.498727

6.017711

7.059347

5.972107

5.884886

5.456576

5.77319

5.767542

5.769516

7.167728

5.865155

6.159159

6.451768

6.093495

6.039968

6.020105

6.030187

6.025589

5.90988

6.432912

5.869851

2405.11799

Shanmuka Shivashankara

Shanmuka Shivashankara, Grace Gogliettino

Regularized Entanglement Entropy of Electron-Positron Scattering with a Witness Photon

null

hep-th hep-ph quant-ph

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

Regularized quantum information metrics are calculated for the scattering process $e^-e^+ \rightarrow \gamma,Z\rightarrow \mu^-\mu^+$ that has a witness photon entangled with the initial electron-positron state. Unitarity implies the correct regularization of divergences that appear in both the final density matrix and von Neumann entanglement entropies. The entropies are found to quantify uncertainty or randomness. The variation of information, entanglement entropy, and correlation between the muon's and witness photon's helicities are found to convey equivalent information. The magnitude of the muon's expected helicity rises (falls) as the helicity entropy falls (rises). Area, or the scattering cross section, is a source of entropy for the muon's helicity entropy and momentum entropy. The muon's differential angular entropy distribution is similar to the differential angular cross section distribution, capturing the forward-backward asymmetry at high center of mass energies.

[ { "created": "Mon, 20 May 2024 05:46:12 GMT", "version": "v1" } ]

2024-06-12

[ [ "Shivashankara", "Shanmuka", "" ], [ "Gogliettino", "Grace", "" ] ]

Regularized quantum information metrics are calculated for the scattering process $e^-e^+ \rightarrow \gamma,Z\rightarrow \mu^-\mu^+$ that has a witness photon entangled with the initial electron-positron state. Unitarity implies the correct regularization of divergences that appear in both the final density matrix and von Neumann entanglement entropies. The entropies are found to quantify uncertainty or randomness. The variation of information, entanglement entropy, and correlation between the muon's and witness photon's helicities are found to convey equivalent information. The magnitude of the muon's expected helicity rises (falls) as the helicity entropy falls (rises). Area, or the scattering cross section, is a source of entropy for the muon's helicity entropy and momentum entropy. The muon's differential angular entropy distribution is similar to the differential angular cross section distribution, capturing the forward-backward asymmetry at high center of mass energies.

13.199163

14.944535

12.512678

11.959665

13.927451

15.279488

13.954923

14.399688

12.82481

14.49992

13.040009

12.338132

12.349006

12.21031

12.961005

12.885569

13.300231

12.660325

12.659728

12.472651

12.702025

1601.06804

Dmitry Chicherin

Dmitry Chicherin, Emery Sokatchev

N=4 super-Yang-Mills in LHC superspace. Part II: Non-chiral correlation functions of the stress-tensor multiplet

66 pages, 16 figures; v2: Appendix F on the quantization in a Lorentz-covariant gauge added

null

10.1007/JHEP03(2017)048

null

hep-th

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

We study the multipoint super-correlation functions of the full non-chiral stress-tensor multiplet in N=4 super-Yang-Mills theory in the Born approximation. We derive effective supergraph Feynman rules for them. Surprisingly, the Feynman rules for the non-chiral correlators are obtained from those for the chiral correlators by a simple Grassmann shift of the space-time variables. We rely on the formulation of the theory in Lorentz harmonic chiral (LHC) superspace elaborated in the twin paper arXiv:1601.06803. In this approach only the chiral half of the supersymmetry is manifest. The other half is realized by nonlinear and nonlocal transformations of the LHC superfields. However, at Born level only the simple linear part of the transformations is relevant. It corresponds to effectively working in the self-dual sector of the theory. Our method is also applicable to a wider class of supermultiplets like all the half-BPS operators and the Konishi multiplet.

[ { "created": "Mon, 25 Jan 2016 21:09:13 GMT", "version": "v1" }, { "created": "Thu, 6 Apr 2017 14:44:20 GMT", "version": "v2" } ]

2017-04-07

[ [ "Chicherin", "Dmitry", "" ], [ "Sokatchev", "Emery", "" ] ]

We study the multipoint super-correlation functions of the full non-chiral stress-tensor multiplet in N=4 super-Yang-Mills theory in the Born approximation. We derive effective supergraph Feynman rules for them. Surprisingly, the Feynman rules for the non-chiral correlators are obtained from those for the chiral correlators by a simple Grassmann shift of the space-time variables. We rely on the formulation of the theory in Lorentz harmonic chiral (LHC) superspace elaborated in the twin paper arXiv:1601.06803. In this approach only the chiral half of the supersymmetry is manifest. The other half is realized by nonlinear and nonlocal transformations of the LHC superfields. However, at Born level only the simple linear part of the transformations is relevant. It corresponds to effectively working in the self-dual sector of the theory. Our method is also applicable to a wider class of supermultiplets like all the half-BPS operators and the Konishi multiplet.

7.347834

7.193583

9.785999

7.237726

7.229681

7.37175

6.790817

7.270831

7.220809

9.819141

7.215656

7.075777

7.940361

7.230398

7.264925

7.287104

7.246258

7.287648

7.509223

8.016584

7.204813

2201.10852

James Edwards

Naser Ahmadiniaz and Victor Miguel Banda Guzman and Christian Schubert and Fiorenzo Bastianelli and Olindo Corradini and James P. Edwards

Obtaining fully polarised amplitudes in gauge invariant form

3 pages, 1 figure. Prepared for the Proceedings of the 20th Lomonosov Conference on Elementary Particle Physics, held in August 2021, based on a talk given by James P. Edwards on the results of [arXiv:2004.01391 [hep-th]] and [arXiv:2107.00199 [hep-th]

null

hep-th hep-ph

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

We describe progress applying the \textit{Worldline Formalism} of quantum field theory to the fermion propagator dressed by $N$-photons to study multi-linear Compton scattering processes, explaining how this approach -- whose calculational advantages are well-known at multi-loop order -- yields compact and manifestly gauge invariant scattering amplitudes.

[ { "created": "Wed, 26 Jan 2022 10:21:16 GMT", "version": "v1" } ]

2022-01-27

[ [ "Ahmadiniaz", "Naser", "" ], [ "Guzman", "Victor Miguel Banda", "" ], [ "Schubert", "Christian", "" ], [ "Bastianelli", "Fiorenzo", "" ], [ "Corradini", "Olindo", "" ], [ "Edwards", "James P.", "" ] ]

We describe progress applying the \textit{Worldline Formalism} of quantum field theory to the fermion propagator dressed by $N$-photons to study multi-linear Compton scattering processes, explaining how this approach -- whose calculational advantages are well-known at multi-loop order -- yields compact and manifestly gauge invariant scattering amplitudes.

21.713316

20.282391

18.363007

20.061468

20.955584

19.116703

19.369419

21.375332

18.114069

22.561434

19.258381

19.785048

18.30547

18.694174

19.527494

19.674078

19.606962

19.129072

19.333069

18.820313

20.188736

1312.2907

Murat Gunaydin

Karan Govil and Murat Gunaydin

Deformed Twistors and Higher Spin Conformal (Super-)Algebras in Four Dimensions

42 pages; Version to appear in JHEP

null

CERN-PH-TH/2013-296

hep-th

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

Massless conformal scalar field in d=4 corresponds to the minimal unitary representation (minrep) of the conformal group SU(2,2) which admits a one-parameter family of deformations that describe massless fields of arbitrary helicity. The minrep and its deformations were obtained by quantization of the nonlinear realization of SU(2,2) as a quasiconformal group in arXiv:0908.3624. We show that the generators of SU(2,2) for these unitary irreducible representations can be written as bilinears of deformed twistorial oscillators which transform nonlinearly under the Lorentz group and apply them to define and study higher spin algebras and superalgebras in AdS_5. The higher spin (HS) algebra of Fradkin-Vasiliev type in AdS_5 is simply the enveloping algebra of SU(2,2) quotiented by a two-sided ideal (Joseph ideal) which annihilates the minrep. We show that the Joseph ideal vanishes identically for the quasiconformal realization of the minrep and its enveloping algebra leads directly to the HS algebra in AdS_5. Furthermore, the enveloping algebras of the deformations of the minrep define a one parameter family of HS algebras in AdS_5 for which certain 4d covariant deformations of the Joseph ideal vanish identically. These results extend to superconformal algebras SU(2,2|N) and we find a one parameter family of HS superalgebras as enveloping algebras of the minimal unitary supermultiplet and its deformations. Our results suggest the existence of a family of (supersymmetric) HS theories in AdS_5 which are dual to free (super)conformal field theories (CFTs) or to interacting but integrable (supersymmetric) CFTs in 4d. We also discuss the corresponding picture in AdS_4 where the 3d conformal group Sp(4,R) admits only two massless representations (minreps), namely the scalar and spinor singletons.

[ { "created": "Tue, 10 Dec 2013 18:22:06 GMT", "version": "v1" }, { "created": "Tue, 7 Jan 2014 16:59:33 GMT", "version": "v2" }, { "created": "Mon, 27 Oct 2014 19:03:02 GMT", "version": "v3" }, { "created": "Wed, 4 Mar 2015 19:09:13 GMT", "version": "v4" } ]

2015-03-05

[ [ "Govil", "Karan", "" ], [ "Gunaydin", "Murat", "" ] ]

Massless conformal scalar field in d=4 corresponds to the minimal unitary representation (minrep) of the conformal group SU(2,2) which admits a one-parameter family of deformations that describe massless fields of arbitrary helicity. The minrep and its deformations were obtained by quantization of the nonlinear realization of SU(2,2) as a quasiconformal group in arXiv:0908.3624. We show that the generators of SU(2,2) for these unitary irreducible representations can be written as bilinears of deformed twistorial oscillators which transform nonlinearly under the Lorentz group and apply them to define and study higher spin algebras and superalgebras in AdS_5. The higher spin (HS) algebra of Fradkin-Vasiliev type in AdS_5 is simply the enveloping algebra of SU(2,2) quotiented by a two-sided ideal (Joseph ideal) which annihilates the minrep. We show that the Joseph ideal vanishes identically for the quasiconformal realization of the minrep and its enveloping algebra leads directly to the HS algebra in AdS_5. Furthermore, the enveloping algebras of the deformations of the minrep define a one parameter family of HS algebras in AdS_5 for which certain 4d covariant deformations of the Joseph ideal vanish identically. These results extend to superconformal algebras SU(2,2|N) and we find a one parameter family of HS superalgebras as enveloping algebras of the minimal unitary supermultiplet and its deformations. Our results suggest the existence of a family of (supersymmetric) HS theories in AdS_5 which are dual to free (super)conformal field theories (CFTs) or to interacting but integrable (supersymmetric) CFTs in 4d. We also discuss the corresponding picture in AdS_4 where the 3d conformal group Sp(4,R) admits only two massless representations (minreps), namely the scalar and spinor singletons.

5.066973

3.958141

5.78027

4.614223

5.002853

4.171728

4.178128

4.389946

4.364395

5.751247

4.589185

4.774835

5.124053

4.841918

5.001393

4.836387

4.728443

4.833721

4.791203

5.300484

4.851192

hep-th/0608197

M. Hossein Dehghani

M. H. Dehghani, J. Pakravan and S. H. Hendi

Thermodynamics of charged rotating black branes in Brans-Dicke theory with quadratic scalar field potential

13 pages

Phys.Rev.D74:104014,2006

10.1103/PhysRevD.74.104014

null

hep-th

null

We construct a class of charged rotating solutions in $(n+1)$-dimensional Maxwell-Brans-Dicke theory with flat horizon in the presence of a quadratic potential and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We find that these solutions can present black brane, with inner and outer event horizons, an extreme black brane or a naked singularity provided the parameters of the solutions are chosen suitably. We compute the finite Euclidean action through the use of counterterm method, and obtain the conserved and thermodynamic quantities by using the relation between the action and free energy in grand-canonical ensemble. We find that these quantities satisfy the first law of thermodynamics, and the entropy does not follow the area law.

[ { "created": "Mon, 28 Aug 2006 07:58:48 GMT", "version": "v1" } ]

2008-11-26

[ [ "Dehghani", "M. H.", "" ], [ "Pakravan", "J.", "" ], [ "Hendi", "S. H.", "" ] ]

We construct a class of charged rotating solutions in $(n+1)$-dimensional Maxwell-Brans-Dicke theory with flat horizon in the presence of a quadratic potential and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We find that these solutions can present black brane, with inner and outer event horizons, an extreme black brane or a naked singularity provided the parameters of the solutions are chosen suitably. We compute the finite Euclidean action through the use of counterterm method, and obtain the conserved and thermodynamic quantities by using the relation between the action and free energy in grand-canonical ensemble. We find that these quantities satisfy the first law of thermodynamics, and the entropy does not follow the area law.

6.399188

3.631266

5.486093

4.489086

4.340858

4.077347

3.664829

4.07724

4.316346

5.010369

4.644638

5.184215

6.266717

5.701195

5.420674

5.346901

5.295921

5.428978

5.599707

5.98201

5.461027

1607.01402

Stephen Randall

Supersymmetric Tensor Hierarchies from Superspace Cohomology

v2: Added reference, corrected typos

null

hep-th

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

In this set of lectures we give a pedagogical introduction to the way in which the nilpotency of a super-de Rham operator can be exploited for the construction of gauge theories in superspace. We begin with a discussion of how the super-geometric closure conditions can be solved by simply computing the cocycles of the super-algebra. The next couple lectures are then devoted to applying this idea to extensions of the standard super-de Rham complex. This eventually results in a geometric "trivialization" of the consistency conditions required for non-abelian tensor hierarchies. Although this is a general conclusion, we focus specifically on the hierarchy obtained by compactifying the 3-form gauge field of 11D supergravity to 4D, $N = 1$ superspace. In the final lecture, we use the cohomological arguments developed herein to provide a geometric construction of the non-trivial Chern-Simons-type invariant in that tensor hierarchy and comment on generalizations. These lectures are based on a series of talks given at Texas A&M University from March 21-25.

[ { "created": "Tue, 5 Jul 2016 20:06:07 GMT", "version": "v1" }, { "created": "Mon, 13 Feb 2017 00:34:07 GMT", "version": "v2" } ]

2017-02-14

[ [ "Randall", "Stephen", "" ] ]

In this set of lectures we give a pedagogical introduction to the way in which the nilpotency of a super-de Rham operator can be exploited for the construction of gauge theories in superspace. We begin with a discussion of how the super-geometric closure conditions can be solved by simply computing the cocycles of the super-algebra. The next couple lectures are then devoted to applying this idea to extensions of the standard super-de Rham complex. This eventually results in a geometric "trivialization" of the consistency conditions required for non-abelian tensor hierarchies. Although this is a general conclusion, we focus specifically on the hierarchy obtained by compactifying the 3-form gauge field of 11D supergravity to 4D, $N = 1$ superspace. In the final lecture, we use the cohomological arguments developed herein to provide a geometric construction of the non-trivial Chern-Simons-type invariant in that tensor hierarchy and comment on generalizations. These lectures are based on a series of talks given at Texas A&M University from March 21-25.

9.908048

9.389587

10.346675

9.213328

8.896851

9.751338

9.403269

10.539516

8.925628

11.905084

8.926815

9.005929

9.535089

9.00866

9.006094

8.920305

9.058826

9.093085

8.948378

10.226459

9.240292

1211.1317

Igor Herbut

Igor F. Herbut

Majorana mass, time reversal symmetry, and the dimension of space

seven pages, slightly revised and restructured version; new section on connection to reality properties of spinor representations; typos corrected, new appendix on Majorana-Weyl fermions in D=1 (modulo eight); close to published version

Physical Review D, vol. 87, 085002 (2013)

10.1103/PhysRevD.87.085002

null

hep-th cond-mat.mes-hall cond-mat.str-el hep-ph math-ph math.MP quant-ph

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

The Weyl fermions with a well defined chirality are known to demand that the dimension of space which they inhabit must be odd. It is shown here, however, that not all odd dimensional spaces are equally good hosts: in particular, an arbitrary number of chiral Weyl fermions can acquire a Majorana mass only in three (modulo eight) dimensions. The argument utilizes a) the precise analogy that exists between the Majorana mass term and the Cooper pairing of time-reversed Weyl fermions, and b) the conditions on the requisite time-reversal operator, which are implied by the Clifford algebra. The theorem connects the observed odd number of neutrino flavors, the time reversal symmetry, and the dimension of our space, and strengthens the argument for the possible violation of the lepton number conservation law.

[ { "created": "Tue, 6 Nov 2012 17:25:16 GMT", "version": "v1" }, { "created": "Fri, 18 Jan 2013 13:33:55 GMT", "version": "v2" }, { "created": "Mon, 4 Mar 2013 18:52:56 GMT", "version": "v3" }, { "created": "Tue, 2 Apr 2013 14:57:49 GMT", "version": "v4" } ]

2013-04-03

[ [ "Herbut", "Igor F.", "" ] ]

The Weyl fermions with a well defined chirality are known to demand that the dimension of space which they inhabit must be odd. It is shown here, however, that not all odd dimensional spaces are equally good hosts: in particular, an arbitrary number of chiral Weyl fermions can acquire a Majorana mass only in three (modulo eight) dimensions. The argument utilizes a) the precise analogy that exists between the Majorana mass term and the Cooper pairing of time-reversed Weyl fermions, and b) the conditions on the requisite time-reversal operator, which are implied by the Clifford algebra. The theorem connects the observed odd number of neutrino flavors, the time reversal symmetry, and the dimension of our space, and strengthens the argument for the possible violation of the lepton number conservation law.

10.194386

11.194622

11.133433

10.097955

10.885767

10.415711

10.688636

10.513123

10.552218

12.138268

10.176098

9.880839

10.082508

10.108146

9.656874

9.860277

10.259336

9.677335

9.872115

10.367602

9.793833

hep-th/9703219

Wen-feng Chen

M. Chaichian, W.F. Chen and H.C. Lee

Differential Regularization of Chern-Simons-Maxwell Spinor and Scalar Electrodynamics

RevTex, 11 pages, to appear in Phys. Lett. B

Phys.Lett. B409 (1997) 325-330

10.1016/S0370-2693(97)00894-0

HIP-1997-23/TH

hep-th

null

Differential regularization is used to investigate the one-loop quantum corrections to Chern-Simons-Maxwell spinor and scalar electrodynamics. We illustrate the techniques to write the loop amplitudes in coordinate space. The short-distance expansion method is developed to perform the Fourier transformation of the amplitudes into momentum space and the possible renormalization ambiguity in Chern-Simons type gauge theories in terms of differential regularization is discussed. We also stress that the surface terms appearing in the differential regularization should be kept along for finite theories and they will result in the finite renormalization ambiguity.

[ { "created": "Mon, 31 Mar 1997 10:06:57 GMT", "version": "v1" }, { "created": "Mon, 14 Jul 1997 08:48:04 GMT", "version": "v2" } ]

2009-10-30

[ [ "Chaichian", "M.", "" ], [ "Chen", "W. F.", "" ], [ "Lee", "H. C.", "" ] ]

Differential regularization is used to investigate the one-loop quantum corrections to Chern-Simons-Maxwell spinor and scalar electrodynamics. We illustrate the techniques to write the loop amplitudes in coordinate space. The short-distance expansion method is developed to perform the Fourier transformation of the amplitudes into momentum space and the possible renormalization ambiguity in Chern-Simons type gauge theories in terms of differential regularization is discussed. We also stress that the surface terms appearing in the differential regularization should be kept along for finite theories and they will result in the finite renormalization ambiguity.

14.050661

12.681927

13.787634

12.780319

13.904817

13.212602

14.110958

12.149587

12.886599

15.632256

12.878646

12.498564

12.940024

12.770742

12.688369

12.830112

13.336042

13.378289

13.001525

13.082269

13.22145

hep-th/9402143

G. von Gehlen

Non-hermitian tricriticality in the Blume-Capel model with imaginary field

16 pages (LaTeX) with PS-file appended containing 4 figures, ENSLAPP-L-456/94, BONN-HE-94-03

null

hep-th

null

Using finite-size-scaling methods, we study the quantum chain version of the spin-$1$-Blume-Capel model coupled to an imaginary field. The aim is to realize higher order non-unitary conformal field theories in a simple Ising-type spin model. We find that the first ground-state level crossing in the high-temperature phase leads to a second-order phase transition of the Yang-Lee universality class (central charge $c=-22/5$). The Yang-Lee transition region ends at a line of a new type of tricriticality, where the {\em three} lowest energy levels become degenerate. The analysis of the spectrum at two points on this line gives good evidence that this line belongs to the universality class of the ${\cal M}_{2,7}$-conformal theory with $c=-68/7$.

[ { "created": "Fri, 25 Feb 1994 10:24:53 GMT", "version": "v1" } ]

2009-09-25

[ [ "von Gehlen", "G.", "" ] ]

Using finite-size-scaling methods, we study the quantum chain version of the spin-$1$-Blume-Capel model coupled to an imaginary field. The aim is to realize higher order non-unitary conformal field theories in a simple Ising-type spin model. We find that the first ground-state level crossing in the high-temperature phase leads to a second-order phase transition of the Yang-Lee universality class (central charge $c=-22/5$). The Yang-Lee transition region ends at a line of a new type of tricriticality, where the {\em three} lowest energy levels become degenerate. The analysis of the spectrum at two points on this line gives good evidence that this line belongs to the universality class of the ${\cal M}_{2,7}$-conformal theory with $c=-68/7$.

8.750099

10.197425

10.262671

8.682219

10.13783

9.527693

10.277956

8.701824

8.593577

10.847501

8.485607

8.394687

9.204082

8.592477

8.471638

8.327455

8.434895

8.276746

8.497368

9.414436

8.345366

1112.5183

Mauricio Bellini

Pablo Alejandro S\'anchez, Mariano Anabitarte, Mauricio Bellini (IFIMAR - CONICET and Mar del Plata University)

Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza-Klein theory

Version with some corrections included in the erratum

null

10.1016/j.physletb.2012.02.043

null

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

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

Using the modern Kaluza-Klein theory of gravity (or the Induced Matter theory), we study the Dirac equation for massive neutrinos on a de Sitter background metric from a 5D Riemann-flat (and hence Ricci-flat) extended de Sitter metric, on which is defined the vacuum for test massless 1/2-neutral fields minimally coupled to gravity and free of any other interactions. We obtain that the effective 4D masses of the neutrinos can only take three possible values, which are related to the (static) foliation of the fifth and noncompact extra dimension.

[ { "created": "Wed, 21 Dec 2011 21:37:51 GMT", "version": "v1" }, { "created": "Wed, 15 Feb 2012 19:08:22 GMT", "version": "v2" }, { "created": "Tue, 21 Feb 2012 14:46:25 GMT", "version": "v3" }, { "created": "Thu, 22 Mar 2012 21:07:33 GMT", "version": "v4" } ]

2015-06-03

[ [ "Sánchez", "Pablo Alejandro", "", "IFIMAR - CONICET and Mar del Plata University" ], [ "Anabitarte", "Mariano", "", "IFIMAR - CONICET and Mar del Plata University" ], [ "Bellini", "Mauricio", "", "IFIMAR - CONICET and Mar del Plata University" ] ]

Using the modern Kaluza-Klein theory of gravity (or the Induced Matter theory), we study the Dirac equation for massive neutrinos on a de Sitter background metric from a 5D Riemann-flat (and hence Ricci-flat) extended de Sitter metric, on which is defined the vacuum for test massless 1/2-neutral fields minimally coupled to gravity and free of any other interactions. We obtain that the effective 4D masses of the neutrinos can only take three possible values, which are related to the (static) foliation of the fifth and noncompact extra dimension.

11.671973

13.72702

10.599271

10.904615

12.245225

12.896105

13.199248

11.001753

12.14121

11.454738

11.990113

11.421339

11.32718

11.087993

10.738898

11.265211

11.162309

11.132061

11.316422

11.5179

11.35297

hep-th/9602020

Jens Hoppe

On M-Algebras, the Quantisation of Nambu-Mechanics, and Volume Preserving Diffeomorphisms

16 pages, LaTex

Helv.Phys.Acta 70 (1997) 302-317

null

ETH-TH/95-33

hep-th

null

M-branes are related to theories on function spaces $\cal{A}$ involving M-linear non-commutative maps from $\cal{A} \times \cdots \times \cal{A}$ to $\cal{A}$. While the Lie-symmetry-algebra of volume preserving diffeomorphisms of $T^M$ cannot be deformed when M>2, the arising M-algebras naturally relate to Nambu's generalisation of Hamiltonian mechanics, e.g. by providing a representation of the canonical M-commutation relations, $[J_1,\cdots, J_M]=i\hbar$. Concerning multidimensional integrability, an important generalisation of Lax-pairs is given.

[ { "created": "Mon, 5 Feb 1996 17:07:52 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hoppe", "Jens", "" ] ]

M-branes are related to theories on function spaces $\cal{A}$ involving M-linear non-commutative maps from $\cal{A} \times \cdots \times \cal{A}$ to $\cal{A}$. While the Lie-symmetry-algebra of volume preserving diffeomorphisms of $T^M$ cannot be deformed when M>2, the arising M-algebras naturally relate to Nambu's generalisation of Hamiltonian mechanics, e.g. by providing a representation of the canonical M-commutation relations, $[J_1,\cdots, J_M]=i\hbar$. Concerning multidimensional integrability, an important generalisation of Lax-pairs is given.

12.407004

12.257776

12.886374

11.60448

11.886996

12.39571

12.381561

12.36577

12.052805

13.171202

11.408622

11.167122

11.454442

11.543959

10.875242

11.801487

10.983454

11.007803

11.971541

11.456605

11.933091

0805.1012

Jaume Gomis

Jaume Gomis, Giuseppe Milanesi and Jorge G. Russo

Bagger-Lambert Theory for General Lie Algebras

12 pages, Latex; small corrections and references added; published version (small typos fixed)

JHEP 0806:075,2008

10.1088/1126-6708/2008/06/075

UB-ECM-PF-08-09

hep-th

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

We construct the totally antisymmetric structure constants f^{ABCD} of a 3-algebra with a Lorentzian bi-invariant metric starting from an arbitrary semi-simple Lie algebra. The structure constants f^{ABCD} can be used to write down a maximally superconformal 3d theory that incorporates the expected degrees of freedom of multiple M2 branes, including the "center-of-mass" mode described by free scalar and fermion fields. The gauge field sector reduces to a three dimensional BF term, which underlies the gauge symmetry of the theory. We comment on the issue of unitarity of the quantum theory, which is problematic, despite the fact that the specific form of the interactions prevent the ghost fields from running in the internal lines of any Feynman diagram. Giving an expectation value to one of the scalar fields leads to the maximally supersymmetric 3d Yang-Mills Lagrangian with the addition of two U(1) multiplets, one of them ghost-like, which is decoupled at large g_YM.

[ { "created": "Wed, 7 May 2008 19:54:41 GMT", "version": "v1" }, { "created": "Fri, 9 May 2008 19:04:30 GMT", "version": "v2" }, { "created": "Sun, 15 Jun 2008 20:31:02 GMT", "version": "v3" } ]

2009-07-09

[ [ "Gomis", "Jaume", "" ], [ "Milanesi", "Giuseppe", "" ], [ "Russo", "Jorge G.", "" ] ]

We construct the totally antisymmetric structure constants f^{ABCD} of a 3-algebra with a Lorentzian bi-invariant metric starting from an arbitrary semi-simple Lie algebra. The structure constants f^{ABCD} can be used to write down a maximally superconformal 3d theory that incorporates the expected degrees of freedom of multiple M2 branes, including the "center-of-mass" mode described by free scalar and fermion fields. The gauge field sector reduces to a three dimensional BF term, which underlies the gauge symmetry of the theory. We comment on the issue of unitarity of the quantum theory, which is problematic, despite the fact that the specific form of the interactions prevent the ghost fields from running in the internal lines of any Feynman diagram. Giving an expectation value to one of the scalar fields leads to the maximally supersymmetric 3d Yang-Mills Lagrangian with the addition of two U(1) multiplets, one of them ghost-like, which is decoupled at large g_YM.

9.190915

9.471805

10.112552

9.205275

10.044456

8.636544

9.777406

9.250253

9.372679

11.267532

8.894032

9.10343

9.60415

8.981084

9.286571

8.750481

8.72525

9.021708

9.001483

9.532812

8.643113

0804.4380

O-Kab Kwon

Akira Ishida (Sungkyunkwan U.), Chanju Kim (Ewha Womans U.), Yoonbai Kim (Sungkyunkwan U.), O-Kab Kwon (Sungkyunkwan U.), D. D. Tolla (CQUeST)

Tachyon Vacuum Solution in Open String Field Theory with Constant B Field

8 pages

J.Phys.A42:395402,2009

10.1088/1751-8113/42/39/395402

null

hep-th

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

We show that Schnabl's tachyon vacuum solution is an exact solution of the equation of motion of Witten's open bosonic string field theory in the background of constant antisymmetric two-form field. The action computed at the vacuum solution is given by the Dirac-Born-Infeld factor multiplied to that without the antisymmetric tensor field.

[ { "created": "Mon, 28 Apr 2008 11:57:22 GMT", "version": "v1" } ]

2009-09-28

[ [ "Ishida", "Akira", "", "Sungkyunkwan U." ], [ "Kim", "Chanju", "", "Ewha Womans U." ], [ "Kim", "Yoonbai", "", "Sungkyunkwan U." ], [ "Kwon", "O-Kab", "", "Sungkyunkwan U." ], [ "Tolla", "D. D.", "", "CQUeST" ] ]

We show that Schnabl's tachyon vacuum solution is an exact solution of the equation of motion of Witten's open bosonic string field theory in the background of constant antisymmetric two-form field. The action computed at the vacuum solution is given by the Dirac-Born-Infeld factor multiplied to that without the antisymmetric tensor field.

8.525725

8.422482

11.498726

7.749917

8.121811

8.026934

8.907509

8.563674

7.568334

10.432532

7.238774

7.935359

7.556932

7.359074

7.368917

7.74288

7.54248

7.603575

7.922252

7.880237

8.370311

1302.5428

Borun Chowdhury

Steven G. Avery and Borun D. Chowdhury

Firewalls in AdS/CFT

11 pages plus references, 8 figures; version accepted for publication in JHEP

null

10.1007/JHEP10(2014)174

null

hep-th gr-qc

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

Several recent papers argue against firewalls by relaxing the requirement for locality outside the stretched horizon. In the firewall argument, locality essentially serves the purpose of ensuring that the degrees of freedom required for infall are those in the proximity of the black hole and not the ones in the early radiation. We make the firewall argument sharper by utilizing the AdS/CFT framework and claim that the firewall argument essentially states that the dual to a thermal state in the CFT is a firewall.

[ { "created": "Thu, 21 Feb 2013 21:00:23 GMT", "version": "v1" }, { "created": "Thu, 16 Oct 2014 21:19:48 GMT", "version": "v2" } ]

2015-06-15

[ [ "Avery", "Steven G.", "" ], [ "Chowdhury", "Borun D.", "" ] ]

Several recent papers argue against firewalls by relaxing the requirement for locality outside the stretched horizon. In the firewall argument, locality essentially serves the purpose of ensuring that the degrees of freedom required for infall are those in the proximity of the black hole and not the ones in the early radiation. We make the firewall argument sharper by utilizing the AdS/CFT framework and claim that the firewall argument essentially states that the dual to a thermal state in the CFT is a firewall.

17.14665

17.008324

18.093548

15.737142

17.968014

19.154009

18.439007

16.418339

18.596483

18.526363

14.924411

14.774089

16.039795

15.204522

15.724037

15.708013

16.212326

15.319372

15.80727

16.942507

16.092268

1110.1425

Farrukh A. Chishtie

Farrukh Chishtie and D.G.C. McKeon

Non-Trivial Ghosts and Second Class Constraints

23 pages, LaTeX2e format

Int.J.Mod.Phys.A, Vol. 27, No. 14 (2012), 1250077

10.1142/S0217751X12500777

null

hep-th

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

In a model in which a vector gauge field $W_\mu^a$ is coupled to an antisymmetric tensor field $\phi_{\mu\nu}^a$ possessing a pseudoscalar mass, it has been shown that all physical degrees of freedom reside in the vector field. Upon quantizing this model using the Faddeev-Popov procedure, explicit calculation of the two-point functions $<\phi\phi >$ and $<W \phi>$ at one-loop order seems to have yielded the puzzling result that the effective action generated by radiative effects has more physical degrees of freedom than the original classical action. In this paper we point out that this is not in fact a real effect, but rather appears to be a consequence of having ignored a "ghost" field arising from the contribution to the measure in the path integral arising from the presence of non-trivial second-class constraints. These ghost fields couple to the fields $W_\mu^a$ and $\phi_{\mu\nu}^a$, which makes them distinct from other models involving ghosts arising from second-class constraints (such as massive Yang-Mills (YM) models) that have been considered, as in these other models such ghosts decouple. As an alternative to dealing with second class constraints, we consider introducing a "Stueckelberg field" to eliminate second-class constraints in favour of first-class constraints and examine if it is possible to then use the Faddeev-Popov quantization procedure. In the Proca model, introduction of the Stueckelberg vector is equivalent to the Batalin-Fradkin-Tyutin (BFT) approach to converting second-class constraints to being first class through the introduction of new variables. However, introduction of a Stueckelberg vector is not equivalent to the BFT approach for the vector-tensor model. In an appendix, the BFT procedure is applied to the pure tensor model and a novel gauge invariance is found.

[ { "created": "Fri, 7 Oct 2011 03:13:59 GMT", "version": "v1" }, { "created": "Sun, 27 May 2012 07:50:55 GMT", "version": "v2" } ]

2015-05-30

[ [ "Chishtie", "Farrukh", "" ], [ "McKeon", "D. G. C.", "" ] ]

In a model in which a vector gauge field $W_\mu^a$ is coupled to an antisymmetric tensor field $\phi_{\mu\nu}^a$ possessing a pseudoscalar mass, it has been shown that all physical degrees of freedom reside in the vector field. Upon quantizing this model using the Faddeev-Popov procedure, explicit calculation of the two-point functions $<\phi\phi >$ and $<W \phi>$ at one-loop order seems to have yielded the puzzling result that the effective action generated by radiative effects has more physical degrees of freedom than the original classical action. In this paper we point out that this is not in fact a real effect, but rather appears to be a consequence of having ignored a "ghost" field arising from the contribution to the measure in the path integral arising from the presence of non-trivial second-class constraints. These ghost fields couple to the fields $W_\mu^a$ and $\phi_{\mu\nu}^a$, which makes them distinct from other models involving ghosts arising from second-class constraints (such as massive Yang-Mills (YM) models) that have been considered, as in these other models such ghosts decouple. As an alternative to dealing with second class constraints, we consider introducing a "Stueckelberg field" to eliminate second-class constraints in favour of first-class constraints and examine if it is possible to then use the Faddeev-Popov quantization procedure. In the Proca model, introduction of the Stueckelberg vector is equivalent to the Batalin-Fradkin-Tyutin (BFT) approach to converting second-class constraints to being first class through the introduction of new variables. However, introduction of a Stueckelberg vector is not equivalent to the BFT approach for the vector-tensor model. In an appendix, the BFT procedure is applied to the pure tensor model and a novel gauge invariance is found.

6.325937

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6.090966

hep-th/0003198

Peter Mayr

P. Mayr

On Supersymmetry Breaking in String Theory and its Realization in Brane Worlds

29 pages, harvmac, typos corrected

Nucl.Phys.B593:99-126,2001

10.1016/S0550-3213(00)00552-6

CERN-TH/2000-083

hep-th hep-ph

null

We use string duality to describe instanton induced spontaneous supersymmetry breaking in string compactifications with additional background fields. Dynamical supersymmetry breaking by space-time instantons in the heterotic string theory is mapped to a tree level breaking in the type II string which can be explicitly calculated by geometric methods. It is argued that the instanton corrections resurrect the no-go theorem on partial supersymmetry breaking. The point particle limit describes the non-perturbative scalar potential of a SYM theory localized on a hypersurface of space-time. The N=0 vacuum displays condensation of magnetic monopoles and confinement. The supersymmetry breaking scale is determined by $M_{str}$, which can be in the TeV range, and the geometry transverse to the gauge theory.

[ { "created": "Wed, 22 Mar 2000 20:20:13 GMT", "version": "v1" }, { "created": "Wed, 5 Apr 2000 16:08:16 GMT", "version": "v2" }, { "created": "Fri, 8 Dec 2000 17:59:02 GMT", "version": "v3" } ]

2014-11-18

[ [ "Mayr", "P.", "" ] ]

We use string duality to describe instanton induced spontaneous supersymmetry breaking in string compactifications with additional background fields. Dynamical supersymmetry breaking by space-time instantons in the heterotic string theory is mapped to a tree level breaking in the type II string which can be explicitly calculated by geometric methods. It is argued that the instanton corrections resurrect the no-go theorem on partial supersymmetry breaking. The point particle limit describes the non-perturbative scalar potential of a SYM theory localized on a hypersurface of space-time. The N=0 vacuum displays condensation of magnetic monopoles and confinement. The supersymmetry breaking scale is determined by $M_{str}$, which can be in the TeV range, and the geometry transverse to the gauge theory.

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11.155755

10.943104

11.651815

11.204722

hep-th/9301129

Nemanja Kaloper

B. A. Campbell, N. Kaloper, R. Madden and K. A. Olive

Physical Properties of Four Dimensional Superstring Gravity Black Hole Solutions

38 pages LaTeX, Alberta-Thy-32-92/UMN-TH-1109/92. (6 figures available upon request from N. Kaloper, email: kaloper@hawking.phys.ualberta.ca) ( 4 typos in the previous version corrected )

Nucl.Phys.B399:137-168,1993

10.1016/0550-3213(93)90620-5

null

hep-th gr-qc hep-ph

null

We consider the physical properties of four dimensional black hole solutions to the effective action describing the low energy dynamics of the gravitational sector of heterotic superstring theory. We compare the properties of the external field strengths in the perturbative solution to the full $O(\alpha')$ string effective action equations, to those of exact solutions in a truncated action for charged black holes, and to the Kerr-Newman family of solutions of Einstein-Maxwell theory. We contrast the numerical results obtained in these approaches, and discuss limitations of the analyses. Finally we discuss how the new features of classical string gravity affect the standard tests of general relativity.

[ { "created": "Sun, 31 Jan 1993 09:22:09 GMT", "version": "v1" }, { "created": "Mon, 8 Feb 1993 23:25:01 GMT", "version": "v2" } ]

2009-09-15

[ [ "Campbell", "B. A.", "" ], [ "Kaloper", "N.", "" ], [ "Madden", "R.", "" ], [ "Olive", "K. A.", "" ] ]

We consider the physical properties of four dimensional black hole solutions to the effective action describing the low energy dynamics of the gravitational sector of heterotic superstring theory. We compare the properties of the external field strengths in the perturbative solution to the full $O(\alpha')$ string effective action equations, to those of exact solutions in a truncated action for charged black holes, and to the Kerr-Newman family of solutions of Einstein-Maxwell theory. We contrast the numerical results obtained in these approaches, and discuss limitations of the analyses. Finally we discuss how the new features of classical string gravity affect the standard tests of general relativity.

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