LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1806.07445

Vitor Emanuel Rodino Lemes

R. L. P. G. Amaral, V. E. R. Lemes, O. S. Ventura and L.C.Q.Vilar

Confining Potentials

16 pages, no figures

null

10.1007/s13538-019-00675-4

null

hep-th

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

We use the t'Hoft-Wilson method for the generation of static fermions potential in order to derive a class of confining potentials which can describe the quark confinement. A general pattern for the construction of propagators through the localization of non-local actions is uncovered.

[ { "created": "Tue, 19 Jun 2018 19:49:01 GMT", "version": "v1" } ]

2019-07-24

[ [ "Amaral", "R. L. P. G.", "" ], [ "Lemes", "V. E. R.", "" ], [ "Ventura", "O. S.", "" ], [ "Vilar", "L. C. Q.", "" ] ]

We use the t'Hoft-Wilson method for the generation of static fermions potential in order to derive a class of confining potentials which can describe the quark confinement. A general pattern for the construction of propagators through the localization of non-local actions is uncovered.

38.864655

26.387661

38.560608

29.57243

24.248411

31.236362

29.062881

27.887398

36.442303

36.417297

28.967249

29.741539

28.19775

26.441961

26.099848

28.327971

24.962748

27.614574

25.146524

28.174726

27.137234

hep-th/0607149

Rajamani Narayanan

R. Narayanan, H. Neuberger

Large N gauge theories -- Numerical results

7 pages, 5 figures, Talk presented at CAQCD06

null

10.1142/9789812708267_0052

null

hep-th hep-lat hep-ph

null

Some physical results in four dimensional large N gauge theories on a periodic torus are summarized.

[ { "created": "Thu, 20 Jul 2006 15:54:08 GMT", "version": "v1" } ]

2017-08-23

[ [ "Narayanan", "R.", "" ], [ "Neuberger", "H.", "" ] ]

Some physical results in four dimensional large N gauge theories on a periodic torus are summarized.

52.894981

33.663189

35.084538

32.164303

34.06427

32.430977

31.123434

33.806103

27.704067

36.544991

34.074455

32.890827

32.224865

32.092312

32.532448

30.500082

30.767101

30.579994

31.440886

33.312576

29.778145

1809.03522

George Georgiou

George Georgiou and Konstantinos Sfetsos

Novel all loop actions of interacting CFTs: Construction, integrability and RG flows

33 pages, 4 figures, typos corrected in version 2, version published in Nucl. Phys. B

null

10.1016/j.nuclphysb.2018.10.018

null

hep-th nlin.SI

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

We construct the all loop effective action representing, for small couplings, simultaneously self and mutually interacting current algebra CFTs realized by WZW models. This non-trivially generalizes our previous works where such interactions were, at the linear level, not simultaneously present. For the two coupling case we prove integrability and calculate the coupled RG flow equations. We also consider non-Abelian T-duality type limits. Our models provide concrete realisations of integrable flows between exact CFTs and exhibit several new features which we discuss in detail.

[ { "created": "Mon, 10 Sep 2018 18:01:03 GMT", "version": "v1" }, { "created": "Wed, 7 Nov 2018 11:07:52 GMT", "version": "v2" } ]

2018-11-14

[ [ "Georgiou", "George", "" ], [ "Sfetsos", "Konstantinos", "" ] ]

We construct the all loop effective action representing, for small couplings, simultaneously self and mutually interacting current algebra CFTs realized by WZW models. This non-trivially generalizes our previous works where such interactions were, at the linear level, not simultaneously present. For the two coupling case we prove integrability and calculate the coupled RG flow equations. We also consider non-Abelian T-duality type limits. Our models provide concrete realisations of integrable flows between exact CFTs and exhibit several new features which we discuss in detail.

21.608635

20.254194

23.381767

18.950443

20.630039

19.515816

20.183813

19.629427

19.953949

26.764688

17.789362

18.929148

20.937626

19.759441

19.883121

18.680153

19.151785

19.647644

19.379412

20.416061

18.967331

2303.15372

Akash Singh

Roshan Kaundinya, Omkar Nippanikar, Akash Singh and K. P. Yogendran

Revisiting the Thermal AdS partition function

null

hep-th

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

We rewrite the worldsheet torus partition function of the Thermal AdS CFT by isolating the boundary parameters. Using this, we show that the spectrum of the Euclidean BTZ black hole and Lorentzian AdS3 can be extracted -- the latter as a zero temperature limit. A similar procedure recovers the Lorentzian BTZ spectrum proposed in an earlier work. We then use our expression to construct a boundary modular invariant expression as a Poincar\'e series.

[ { "created": "Mon, 27 Mar 2023 16:46:28 GMT", "version": "v1" }, { "created": "Tue, 28 Mar 2023 11:07:54 GMT", "version": "v2" } ]

2023-03-29

[ [ "Kaundinya", "Roshan", "" ], [ "Nippanikar", "Omkar", "" ], [ "Singh", "Akash", "" ], [ "Yogendran", "K. P.", "" ] ]

We rewrite the worldsheet torus partition function of the Thermal AdS CFT by isolating the boundary parameters. Using this, we show that the spectrum of the Euclidean BTZ black hole and Lorentzian AdS3 can be extracted -- the latter as a zero temperature limit. A similar procedure recovers the Lorentzian BTZ spectrum proposed in an earlier work. We then use our expression to construct a boundary modular invariant expression as a Poincar\'e series.

15.765769

11.469366

14.824043

12.681605

12.196153

12.769291

11.762049

11.53439

12.17112

15.206382

12.108411

12.912728

13.927196

12.851831

13.121482

12.989697

13.433167

12.955854

12.914877

13.644302

13.252666

1309.0690

Vladimir Efremov

Vladimir N. Efremov, Alfonso M. Hernandez Magdaleno, Fernando I. Becerra Lopez

The Universe as a Set of Topological Fluids with Hierarchy and Fine Tuning of Coupling Constants in Terms of Graph Manifolds

46 pages, LaTeX; added interpretation in terms of Julia-Toulouse approach in section 3; added 6 references

null

hep-th

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

The hierarchy and fine tuning of the gauge coupling constants are described on the base of topological invariants (Chern classes interpreted as filling factors) characterizing a collection of fractional topological fluids emerging from three dimensional graph manifolds, which play the role of internal spaces in the Kaluza-Klein approach to the topological BF theory. The hierarchy of BF gauge coupling constants is simulated by diagonal elements and eigenvalues of rational linking matrices of tree graph manifolds pasted together from Brieskorn (Seifert fibered) homology spheres. Specific examples of graph manifolds are presented which contain in their linking matrices the hierarchy of coupling constants distinctive for the dimensionless coupling constants in our Universe. The fine tuning effect is simulated owing to the special numerical properties of diagonal elements of the linking matrices. We pay a particular attention to fine tuning problem for the cosmological constant and propose its model solution.

[ { "created": "Tue, 3 Sep 2013 14:19:57 GMT", "version": "v1" }, { "created": "Mon, 10 Mar 2014 15:42:43 GMT", "version": "v2" } ]

2014-03-11

[ [ "Efremov", "Vladimir N.", "" ], [ "Magdaleno", "Alfonso M. Hernandez", "" ], [ "Lopez", "Fernando I. Becerra", "" ] ]

The hierarchy and fine tuning of the gauge coupling constants are described on the base of topological invariants (Chern classes interpreted as filling factors) characterizing a collection of fractional topological fluids emerging from three dimensional graph manifolds, which play the role of internal spaces in the Kaluza-Klein approach to the topological BF theory. The hierarchy of BF gauge coupling constants is simulated by diagonal elements and eigenvalues of rational linking matrices of tree graph manifolds pasted together from Brieskorn (Seifert fibered) homology spheres. Specific examples of graph manifolds are presented which contain in their linking matrices the hierarchy of coupling constants distinctive for the dimensionless coupling constants in our Universe. The fine tuning effect is simulated owing to the special numerical properties of diagonal elements of the linking matrices. We pay a particular attention to fine tuning problem for the cosmological constant and propose its model solution.

16.42366

18.303837

17.151098

15.018101

17.883038

18.201475

16.994299

17.182171

17.303711

18.222942

16.286663

15.290727

15.733878

15.44326

15.325033

15.609838

15.416199

15.517744

15.866799

15.801614

15.106327

1008.3327

John Joseph Carrasco

Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson and R. Roiban

The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory

108 pages, 37 figures

Phys.Rev.D82:125040,2010

10.1103/PhysRevD.82.125040

UCLA/10/TEP/105 , Saclay--IPhT--T10/075 , SLAC--PUB--14137 , CERN-TH/2010-186

hep-th

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

We present the complete four-loop four-point amplitude in N=4 super-Yang-Mills theory, for a general gauge group and general D-dimensional covariant kinematics, and including all non-planar contributions. We use the method of maximal cuts --- an efficient application of the unitarity method --- to construct the result in terms of 50 four-loop integrals. We give graphical rules, valid in D-dimensions, for obtaining various non-planar contributions from previously-determined terms. We examine the ultraviolet behavior of the amplitude near D=11/2. The non-planar terms are as well-behaved in the ultraviolet as the planar terms. However, in the color decomposition of the three- and four-loop amplitude for an SU(N_c) gauge group, the coefficients of the double-trace terms are better behaved in the ultraviolet than are the single-trace terms. The results from this paper were an important step toward obtaining the corresponding amplitude in N=8 supergravity, which confirmed the existence of cancellations beyond those needed for ultraviolet finiteness at four loops in four dimensions. Evaluation of the loop integrals near D=4 would permit tests of recent conjectures and results concerning the infrared behavior of four-dimensional massless gauge theory.

[ { "created": "Thu, 19 Aug 2010 15:40:05 GMT", "version": "v1" } ]

2011-03-03

[ [ "Bern", "Z.", "" ], [ "Carrasco", "J. J. M.", "" ], [ "Dixon", "L. J.", "" ], [ "Johansson", "H.", "" ], [ "Roiban", "R.", "" ] ]

We present the complete four-loop four-point amplitude in N=4 super-Yang-Mills theory, for a general gauge group and general D-dimensional covariant kinematics, and including all non-planar contributions. We use the method of maximal cuts --- an efficient application of the unitarity method --- to construct the result in terms of 50 four-loop integrals. We give graphical rules, valid in D-dimensions, for obtaining various non-planar contributions from previously-determined terms. We examine the ultraviolet behavior of the amplitude near D=11/2. The non-planar terms are as well-behaved in the ultraviolet as the planar terms. However, in the color decomposition of the three- and four-loop amplitude for an SU(N_c) gauge group, the coefficients of the double-trace terms are better behaved in the ultraviolet than are the single-trace terms. The results from this paper were an important step toward obtaining the corresponding amplitude in N=8 supergravity, which confirmed the existence of cancellations beyond those needed for ultraviolet finiteness at four loops in four dimensions. Evaluation of the loop integrals near D=4 would permit tests of recent conjectures and results concerning the infrared behavior of four-dimensional massless gauge theory.

8.252975

8.325597

9.539997

7.931866

8.67213

8.516618

8.271204

8.83697

7.82201

9.733896

8.020409

7.89496

8.116966

7.70275

7.914495

7.797041

8.004972

7.852472

7.805571

8.121867

7.821171

0803.1378

Nele Vandersickel

D. Dudal, J.A. Gracey, S.P. Sorella, N. Vandersickel, H. Verschelde

A gauge invariant infrared stabilization of 3D Yang-Mills gauge theories

16 pages, 14 figures. v2: version to appear in JPhysA

J.Phys.A42:085402,2009

10.1088/1751-8113/42/8/085402

LTH-782

hep-th

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

We demonstrate that the inversion method can be a very useful tool in providing an infrared stabilization of 3D gauge theories, in combination with the mass operator $A^2$ in the Landau gauge. The numerical results will be unambiguous, since the corresponding theory is ultraviolet finite in dimensional regularization, making a renormalization scale or scheme obsolete. The proposed framework is argued to be gauge invariant, by showing that the nonlocal gauge invariant operator $A^2_{\min}$, which reduces to $A^2$ in the Landau gauge, could be treated in 3D, in the sense that it is power counting renormalizable in any gauge. As a corollary of our analysis, we are able to identify a whole set of powercounting renormalizable nonlocal operators of dimension two.

[ { "created": "Mon, 10 Mar 2008 10:06:24 GMT", "version": "v1" }, { "created": "Mon, 15 Dec 2008 16:12:28 GMT", "version": "v2" } ]

2009-02-02

[ [ "Dudal", "D.", "" ], [ "Gracey", "J. A.", "" ], [ "Sorella", "S. P.", "" ], [ "Vandersickel", "N.", "" ], [ "Verschelde", "H.", "" ] ]

We demonstrate that the inversion method can be a very useful tool in providing an infrared stabilization of 3D gauge theories, in combination with the mass operator $A^2$ in the Landau gauge. The numerical results will be unambiguous, since the corresponding theory is ultraviolet finite in dimensional regularization, making a renormalization scale or scheme obsolete. The proposed framework is argued to be gauge invariant, by showing that the nonlocal gauge invariant operator $A^2_{\min}$, which reduces to $A^2$ in the Landau gauge, could be treated in 3D, in the sense that it is power counting renormalizable in any gauge. As a corollary of our analysis, we are able to identify a whole set of powercounting renormalizable nonlocal operators of dimension two.

12.423265

11.040564

11.304759

10.314616

10.818397

11.186832

11.096059

11.21058

10.50582

12.365924

9.955054

11.136081

11.029647

10.766362

10.983239

10.657586

10.820991

11.042029

10.831414

10.935486

10.507113

1301.0518

Young-Hwan Hyun

Young-Hwan Hyun, Yoonbai Kim, O-Kab Kwon, D. D. Tolla

Abelian Projections of the Mass-deformed ABJM theory and Weakly Curved Dual Geometry

31 pages, 5 figures, more analysis for gravitational invariants was added, published version

null

10.1103/PhysRevD.87.085011

null

hep-th

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

We construct ${\cal N}=2,4$ supersymmetric abelian projections of the ${\cal N}=6$ mass-deformed ABJM theory. There are well-defined dual background geometries for the ${\cal N}=2$ abelian theory, while those geometries are unclear for the ${\cal N}=4$ abelian theory. The ${\cal N}=2$ theory is built on the supersymmetric vacua of the mass-deformed ABJM theory, which are proven to have one-to-one correspondence with the ${\mathbb Z}_k$ quotient of Lin-Lunin-Maldacena geometries. We select one special vacuum of the mass-deformed ABJM theory and show that the corresponding geometry is weakly curved at every point of the entire space transverse to the M2-branes in the large $N$ limit.

[ { "created": "Thu, 3 Jan 2013 17:36:57 GMT", "version": "v1" }, { "created": "Tue, 15 Jan 2013 11:11:29 GMT", "version": "v2" }, { "created": "Mon, 18 Feb 2013 10:21:33 GMT", "version": "v3" }, { "created": "Fri, 29 Mar 2013 10:48:02 GMT", "version": "v4" } ]

2013-04-10

[ [ "Hyun", "Young-Hwan", "" ], [ "Kim", "Yoonbai", "" ], [ "Kwon", "O-Kab", "" ], [ "Tolla", "D. D.", "" ] ]

We construct ${\cal N}=2,4$ supersymmetric abelian projections of the ${\cal N}=6$ mass-deformed ABJM theory. There are well-defined dual background geometries for the ${\cal N}=2$ abelian theory, while those geometries are unclear for the ${\cal N}=4$ abelian theory. The ${\cal N}=2$ theory is built on the supersymmetric vacua of the mass-deformed ABJM theory, which are proven to have one-to-one correspondence with the ${\mathbb Z}_k$ quotient of Lin-Lunin-Maldacena geometries. We select one special vacuum of the mass-deformed ABJM theory and show that the corresponding geometry is weakly curved at every point of the entire space transverse to the M2-branes in the large $N$ limit.

5.468624

5.434954

6.717062

5.235917

5.30338

5.331616

5.284023

5.27657

5.043426

6.501833

5.316385

5.454267

5.645291

5.351284

5.372753

5.388061

5.506332

5.407578

5.397176

5.522954

5.398399

1507.01068

Sudarshan Ananth

Sudarshan Ananth, Lars Brink and Mahendra Mali

Yang-Mills theories and quadratic forms

12 pages

JHEP 1508 (2015) 153

10.1007/JHEP08(2015)153

null

hep-th

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

We show that the Hamiltonian of (N=1;d=10) super Yang-Mills can be expressed as a quadratic form in a very similar manner to that of the (N=4;d=4) theory. We find a similar quadratic form structure for pure Yang-Mills theory but this feature, in the non-supersymmetric case, seems to be unique to four dimensions. We discuss some consequences of this feature.

[ { "created": "Sat, 4 Jul 2015 05:29:03 GMT", "version": "v1" } ]

2020-02-25

[ [ "Ananth", "Sudarshan", "" ], [ "Brink", "Lars", "" ], [ "Mali", "Mahendra", "" ] ]

We show that the Hamiltonian of (N=1;d=10) super Yang-Mills can be expressed as a quadratic form in a very similar manner to that of the (N=4;d=4) theory. We find a similar quadratic form structure for pure Yang-Mills theory but this feature, in the non-supersymmetric case, seems to be unique to four dimensions. We discuss some consequences of this feature.

8.457417

6.664135

8.017361

6.671004

7.148911

7.02716

7.010219

6.717885

6.401

7.788099

6.473645

7.230363

7.766755

7.366994

7.438358

7.284944

7.093531

7.189094

7.548351

7.883916

7.016652

hep-th/0601065

Shao-You Zhao

Shao-You Zhao, Wen-Li Yang, and Yao-Zhong Zhang

On the Construction of Correlation Functions for the Integrable Supersymmetric Fermion Models

Latex file, 42 pages. Invited review article for Int. J. Mod. Phys. B; V2: Two references added, mionor typos corrected

Int.J.Mod.Phys.B20:505-550,2006

10.1142/S0217979206033383

null

hep-th cond-mat.str-el cond-mat.supr-con math-ph math.MP nlin.SI

null

We review the recent progress on the construction of the determinant representations of the correlation functions for the integrable supersymmetric fermion models. The factorizing $F$-matrices (or the so-called $F$-basis) play an important role in the construction. In the $F$-basis, the creation (and the annihilation) operators and the Bethe states of the integrable models are given in completely symmetric forms. This leads to the determinant representations of the scalar products of the Bethe states for the models. Based on the scalar products, the determinant representations of the correlation functions may be obtained. As an example, in this review, we give the determinant representations of the two-point correlation function for the $\gl$ (i.e. q-deformed) supersymmetric t-J model. The determinant representations are useful for analysing physical properties of the integrable models in the thermodynamical limit.

[ { "created": "Wed, 11 Jan 2006 03:28:29 GMT", "version": "v1" }, { "created": "Wed, 5 Apr 2006 01:10:41 GMT", "version": "v2" } ]

2008-11-26

[ [ "Zhao", "Shao-You", "" ], [ "Yang", "Wen-Li", "" ], [ "Zhang", "Yao-Zhong", "" ] ]

We review the recent progress on the construction of the determinant representations of the correlation functions for the integrable supersymmetric fermion models. The factorizing $F$-matrices (or the so-called $F$-basis) play an important role in the construction. In the $F$-basis, the creation (and the annihilation) operators and the Bethe states of the integrable models are given in completely symmetric forms. This leads to the determinant representations of the scalar products of the Bethe states for the models. Based on the scalar products, the determinant representations of the correlation functions may be obtained. As an example, in this review, we give the determinant representations of the two-point correlation function for the $\gl$ (i.e. q-deformed) supersymmetric t-J model. The determinant representations are useful for analysing physical properties of the integrable models in the thermodynamical limit.

5.989323

6.231863

6.948538

5.95822

6.110956

6.651445

5.871681

5.994344

6.13033

6.469496

6.277447

5.89735

5.897136

5.746624

5.72661

5.763134

5.649222

5.765827

5.642136

5.825196

5.647774

hep-th/0402060

Ulvi Yurtsever

Ulvi Yurtsever and George Hockney

Signaling and the Black Hole Final State

3 pages, RevTeX

null

hep-th gr-qc quant-ph

null

In an attempt to restore the unitarity of the evaporation process, Horowitz and Maldacena recently proposed a boundary-condition constraint for the final quantum state of an evaporating black hole at its singularity. Gottesman and Preskill have argued that the proposed constraint must lead to nonlinear evolution of the initial (collapsing) quantum state. Here we show that in fact this evolution allows signaling, making it detectable outside the event horizon with entangled-probe experiments of the kind we proposed recently. As a result the Horowitz-Maldacena proposal may be subject to terrestrial tests.

[ { "created": "Fri, 6 Feb 2004 23:37:29 GMT", "version": "v1" }, { "created": "Wed, 9 Jun 2004 07:25:07 GMT", "version": "v2" } ]

2007-05-23

[ [ "Yurtsever", "Ulvi", "" ], [ "Hockney", "George", "" ] ]

In an attempt to restore the unitarity of the evaporation process, Horowitz and Maldacena recently proposed a boundary-condition constraint for the final quantum state of an evaporating black hole at its singularity. Gottesman and Preskill have argued that the proposed constraint must lead to nonlinear evolution of the initial (collapsing) quantum state. Here we show that in fact this evolution allows signaling, making it detectable outside the event horizon with entangled-probe experiments of the kind we proposed recently. As a result the Horowitz-Maldacena proposal may be subject to terrestrial tests.

13.112137

12.182552

12.833323

13.250413

12.900257

11.868464

13.204681

11.985723

13.09143

15.417246

12.372399

12.096451

12.326485

12.550259

12.448202

12.332932

12.254354

12.098695

12.374272

12.764664

12.225942

hep-th/0401114

Richard Garavuso

Richard S. Garavuso

SO(10) heterotic M-theory vacua

9 pages. Invited talk presented at the String Phenomenology 2003 Workshop, IPPP, Durham UK, 29 July - 4 August 2003

null

OUTP-04-03P

hep-th hep-ph

null

This talk adapts the available formalism to study a class of heterotic M-theory vacua with SO(10) grand unification group. Compactification to four dimensions with N = 1 supersymmetry is achieved on a torus fibered Calabi-Yau 3-fold Z = X / tau_{X} with first homotopy group pi_{1}(Z) = Z_{2}. Here X is an elliptically fibered Calabi-Yau 3-fold which admits two global sections and \tau_{X} is a freely acting involution on X. The vacua in this class have net number of three generations of chiral fermions in the observable sector and may contain M5-branes in the bulk space which wrap holomorphic curves in Z. Vacua with nonvanishing and vanishing instanton charges in the observable sector are considered. The latter case corresponds to potentially viable matter Yukawa couplings. Since pi_{1}(Z) = Z_{2}, the grand unification group can be broken with Z_{2} Wilson lines. The motivation is to use the above formalism to extend realistic free-fermionic models to the nonperturbative regime. The correspondence between these models and Z_{2} x Z_{2} orbifold compactification of the weakly coupled 10-dimensional heterotic string identifies associated Calabi-Yau 3-folds which possess the structure of the above Z and X. A nonperturbative extension of the top quark Yukawa coupling is discussed.

[ { "created": "Fri, 16 Jan 2004 20:04:46 GMT", "version": "v1" }, { "created": "Tue, 20 Jan 2004 13:05:19 GMT", "version": "v2" } ]

2007-05-23

[ [ "Garavuso", "Richard S.", "" ] ]

This talk adapts the available formalism to study a class of heterotic M-theory vacua with SO(10) grand unification group. Compactification to four dimensions with N = 1 supersymmetry is achieved on a torus fibered Calabi-Yau 3-fold Z = X / tau_{X} with first homotopy group pi_{1}(Z) = Z_{2}. Here X is an elliptically fibered Calabi-Yau 3-fold which admits two global sections and \tau_{X} is a freely acting involution on X. The vacua in this class have net number of three generations of chiral fermions in the observable sector and may contain M5-branes in the bulk space which wrap holomorphic curves in Z. Vacua with nonvanishing and vanishing instanton charges in the observable sector are considered. The latter case corresponds to potentially viable matter Yukawa couplings. Since pi_{1}(Z) = Z_{2}, the grand unification group can be broken with Z_{2} Wilson lines. The motivation is to use the above formalism to extend realistic free-fermionic models to the nonperturbative regime. The correspondence between these models and Z_{2} x Z_{2} orbifold compactification of the weakly coupled 10-dimensional heterotic string identifies associated Calabi-Yau 3-folds which possess the structure of the above Z and X. A nonperturbative extension of the top quark Yukawa coupling is discussed.

6.769798

5.90204

8.124484

6.243588

7.620466

6.948743

6.99391

5.196725

5.973327

8.227088

5.986446

6.2779

7.003781

6.517232

6.858399

6.82033

6.736311

6.469179

6.500495

6.969188

6.576929

1801.01077

Dionisio Bazeia

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

Analytic vortex solutions in generalized models of the Maxwell-Higgs type

9 pages, 10 figures. To appear in PLB

Phys. Lett. B 778 (2018) 22

10.1016/j.physletb.2018.01.004

null

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

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

This work deals with the presence of analytical vortex configurations in generalized models of the Maxwell-Higgs type in the three-dimensional spacetime. We implement a procedure that allows to decouple the first order equations, which we use to solve the model analytically. The approach is exemplified with three distinct models that show the robustness of the construction. In the third model, one finds analytical solutions that exhibit interesting compact vortex behavior.

[ { "created": "Wed, 3 Jan 2018 17:00:28 GMT", "version": "v1" }, { "created": "Fri, 12 Jan 2018 19:44:27 GMT", "version": "v2" } ]

2018-01-16

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

This work deals with the presence of analytical vortex configurations in generalized models of the Maxwell-Higgs type in the three-dimensional spacetime. We implement a procedure that allows to decouple the first order equations, which we use to solve the model analytically. The approach is exemplified with three distinct models that show the robustness of the construction. In the third model, one finds analytical solutions that exhibit interesting compact vortex behavior.

15.662019

8.440817

13.231091

10.402305

9.910403

9.494473

9.765451

8.293512

9.694831

14.499804

10.345607

11.698535

13.448578

12.394738

12.306012

11.957726

12.111847

12.458395

12.260576

13.309341

12.420566

1310.0858

Jun Bourdier

Jun Bourdier and Elias Kiritsis

Holographic RG flows and nearly-marginal operators

Latex, 23 pages. Minor corrections. Version to be published in Classical and Quantum Gravity

null

10.1088/0264-9381/31/3/035011

CCTP-2013-16, CCQCN-2013-11, CERN-PH-TH/2013-265, KCL-MTH-13-10

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

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

The holographic renormalization group flows associated with marginally relevant operators are analyzed. The associated perturbative and non-perturbative beta-functions are calculated and the consistent scalar potentials are identified. The presence of a Zamolodchikov metric in the multiscalar case is shown to affect beta-functions starting at two loops.

[ { "created": "Wed, 2 Oct 2013 22:16:31 GMT", "version": "v1" }, { "created": "Thu, 12 Dec 2013 12:20:48 GMT", "version": "v2" } ]

2015-06-17

[ [ "Bourdier", "Jun", "" ], [ "Kiritsis", "Elias", "" ] ]

The holographic renormalization group flows associated with marginally relevant operators are analyzed. The associated perturbative and non-perturbative beta-functions are calculated and the consistent scalar potentials are identified. The presence of a Zamolodchikov metric in the multiscalar case is shown to affect beta-functions starting at two loops.

11.889609

10.090771

11.41802

10.737337

11.690156

9.729453

9.740889

10.041574

9.762912

12.687121

9.45179

10.166371

11.53532

10.795575

10.355282

10.698688

10.447671

10.520724

10.687663

11.606207

9.841032

0809.3744

Diego Blas

D. Blas

Aspects of Infrared Modifications of Gravity

Ph.D. Thesis, 168 pages, 12 figures

null

hep-th gr-qc

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

In the first part of the thesis, and after an introduction to certain models of modified gravity, we study consistent Lagrangians for Lorentz invariant (massive and massless) spin-2 and spin-3/2 particles in flat space. The second part of the dissertation is devoted to non-linear extensions for the spin-2 case, focusing on unimodular gravity and bigravity. Both theories lead to modifications of General Relativity at large distances and we will study exact solutions, causal structure of those solutions, and perturbation theory (specially for the Lorentz breaking case). Some comments on quantization of these theories can be found in an appendix.

[ { "created": "Mon, 22 Sep 2008 18:12:03 GMT", "version": "v1" } ]

2008-09-23

[ [ "Blas", "D.", "" ] ]

In the first part of the thesis, and after an introduction to certain models of modified gravity, we study consistent Lagrangians for Lorentz invariant (massive and massless) spin-2 and spin-3/2 particles in flat space. The second part of the dissertation is devoted to non-linear extensions for the spin-2 case, focusing on unimodular gravity and bigravity. Both theories lead to modifications of General Relativity at large distances and we will study exact solutions, causal structure of those solutions, and perturbation theory (specially for the Lorentz breaking case). Some comments on quantization of these theories can be found in an appendix.

10.075601

9.686181

9.017837

8.769038

8.977374

9.033329

8.926001

9.191515

9.259638

9.599771

8.901536

8.961232

8.758541

8.91877

8.933665

9.018382

9.11689

8.835789

9.374589

9.237037

9.305763

2309.03934

Arthur Platschorre

Prateek Agrawal and Arthur Platschorre

The Monodromic Axion-Photon Coupling

20 pages, 1 figure; v2: typos corrected, references added

null

hep-th hep-ph

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

We consider the general form of the axion coupling to photons in the axion-Maxwell theory. On general grounds this coupling takes the form of a monodromic function of the axion, which we call $g(a)$, multiplying the Chern-Pontryagin density $F \widetilde{F}$ of the photon. We show that the non-linearity of $g(a)$ is a spurion for the shift symmetry of the axion. In this context, when $g(a) \neq \mathbb{Z}a$, the linearized coupling of the axion $g'(a)$ is not quantized and there is a correlated mass term for the axion. Singularities in $g(a)$ due to the fast rearrangement of degrees of freedom are shown to have corresponding cusps and singularities in the axion potential. We derive the general form of $g(a)$ for the QCD axion, axions with perturbatively broken shift symmetries and axions descending from extra dimensions. In all cases, we show that there is a uniform general form of the monodromic function $g(a)$ and it is connected to the axion potential.

[ { "created": "Thu, 7 Sep 2023 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 10 Oct 2023 13:09:09 GMT", "version": "v2" } ]

2023-10-11

[ [ "Agrawal", "Prateek", "" ], [ "Platschorre", "Arthur", "" ] ]

We consider the general form of the axion coupling to photons in the axion-Maxwell theory. On general grounds this coupling takes the form of a monodromic function of the axion, which we call $g(a)$, multiplying the Chern-Pontryagin density $F \widetilde{F}$ of the photon. We show that the non-linearity of $g(a)$ is a spurion for the shift symmetry of the axion. In this context, when $g(a) \neq \mathbb{Z}a$, the linearized coupling of the axion $g'(a)$ is not quantized and there is a correlated mass term for the axion. Singularities in $g(a)$ due to the fast rearrangement of degrees of freedom are shown to have corresponding cusps and singularities in the axion potential. We derive the general form of $g(a)$ for the QCD axion, axions with perturbatively broken shift symmetries and axions descending from extra dimensions. In all cases, we show that there is a uniform general form of the monodromic function $g(a)$ and it is connected to the axion potential.

7.438562

7.407028

7.324423

6.980319

7.920078

7.483109

7.688147

7.365029

6.916131

7.645088

7.116699

7.204978

7.020738

6.90699

7.014067

7.210144

7.155478

7.187034

7.035955

7.279475

7.051863

hep-th/0206096

Amir-Kian Kashani-Poor

T.Banks, W.Fischler, A.Kashani-Poor, R.McNees, S.Paban

Entropy of the Stiffest Stars

16 pages, 5 figures

Class.Quant.Grav. 19 (2002) 4717-4728

10.1088/0264-9381/19/18/307

null

hep-th

null

We analyze the properties of stars whose interior is described by the stiffest equation of state consistent with causality. We note the remarkable fact that the entropy of such stars scales like the area.

[ { "created": "Wed, 12 Jun 2002 18:45:58 GMT", "version": "v1" } ]

2009-11-07

[ [ "Banks", "T.", "" ], [ "Fischler", "W.", "" ], [ "Kashani-Poor", "A.", "" ], [ "McNees", "R.", "" ], [ "Paban", "S.", "" ] ]

We analyze the properties of stars whose interior is described by the stiffest equation of state consistent with causality. We note the remarkable fact that the entropy of such stars scales like the area.

17.897631

12.904892

11.496861

9.901289

10.105835

11.517309

11.290895

11.309518

11.47325

10.582873

13.035234

12.624589

11.599268

11.240713

11.851261

11.635228

11.747125

12.075093

11.807884

11.085693

11.894157

2305.18530

Robert Saskowski

Evan Deddo, James T. Liu, Leopoldo A. Pando Zayas, Robert J. Saskowski

$c$-functions in Higher-derivative Flows Across Dimensions

37 pages; references added

JHEP08(2023)147

10.1007/JHEP08(2023)147

LCTP-23-07

hep-th

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

In the context of gravitational theories describing renormalization group flows across dimensions via AdS/CFT, we study the role of higher-derivative corrections to Einstein gravity. We use the Null Energy Condition to derive monotonicity properties of candidate holographic central charges formed by combinations of metric functions. We also implement an entropic approach to the characterization of the four-derivative flows using the Jacobson-Myers functional and demonstrate, under reasonable conditions, monotonicity of certain terms in the entanglement entropy via the appropriate generalization of the Ryu-Takayanagi prescription. In particular, we show that any flow from a higher dimensional theory to a holographic CFT$_2$ satisfies a type of monotonicity. We also uncover direct relations between NEC-motivated and entropic central charges.

[ { "created": "Mon, 29 May 2023 18:01:18 GMT", "version": "v1" }, { "created": "Mon, 10 Jul 2023 17:14:11 GMT", "version": "v2" }, { "created": "Mon, 31 Jul 2023 17:44:21 GMT", "version": "v3" } ]

2023-08-25

[ [ "Deddo", "Evan", "" ], [ "Liu", "James T.", "" ], [ "Zayas", "Leopoldo A. Pando", "" ], [ "Saskowski", "Robert J.", "" ] ]

In the context of gravitational theories describing renormalization group flows across dimensions via AdS/CFT, we study the role of higher-derivative corrections to Einstein gravity. We use the Null Energy Condition to derive monotonicity properties of candidate holographic central charges formed by combinations of metric functions. We also implement an entropic approach to the characterization of the four-derivative flows using the Jacobson-Myers functional and demonstrate, under reasonable conditions, monotonicity of certain terms in the entanglement entropy via the appropriate generalization of the Ryu-Takayanagi prescription. In particular, we show that any flow from a higher dimensional theory to a holographic CFT$_2$ satisfies a type of monotonicity. We also uncover direct relations between NEC-motivated and entropic central charges.

12.215808

11.306633

12.892152

11.122828

11.681328

11.59226

11.37928

10.739887

10.82782

14.741082

10.843637

11.426618

11.887571

11.405127

10.834206

11.498273

11.255394

11.681946

11.168671

11.886594

11.186275

0712.2456

Mukund Rangamani

Sayantani Bhattacharyya, Veronika E Hubeny, Shiraz Minwalla, Mukund Rangamani

Nonlinear Fluid Dynamics from Gravity

46 pages, latex. v2: added refs and new section discussing second order hydrodynamics. v3: typos corrected. v4: typos corrected

JHEP 0802:045,2008

10.1088/1126-6708/2008/02/045

null

hep-th gr-qc nucl-th

null

Black branes in AdS5 appear in a four parameter family labeled by their velocity and temperature. Promoting these parameters to Goldstone modes or collective coordinate fields -- arbitrary functions of the coordinates on the boundary of AdS5 -- we use Einstein's equations together with regularity requirements and boundary conditions to determine their dynamics. The resultant equations turn out to be those of boundary fluid dynamics, with specific values for fluid parameters. Our analysis is perturbative in the boundary derivative expansion but is valid for arbitrary amplitudes. Our work may be regarded as a derivation of the nonlinear equations of boundary fluid dynamics from gravity. As a concrete application we find an explicit expression for the expansion of this fluid stress tensor including terms up to second order in the derivative expansion.

[ { "created": "Fri, 14 Dec 2007 21:01:02 GMT", "version": "v1" }, { "created": "Tue, 1 Jan 2008 10:33:34 GMT", "version": "v2" }, { "created": "Mon, 4 Feb 2008 11:02:40 GMT", "version": "v3" }, { "created": "Wed, 2 Apr 2008 17:04:59 GMT", "version": "v4" } ]

2009-07-09

[ [ "Bhattacharyya", "Sayantani", "" ], [ "Hubeny", "Veronika E", "" ], [ "Minwalla", "Shiraz", "" ], [ "Rangamani", "Mukund", "" ] ]

Black branes in AdS5 appear in a four parameter family labeled by their velocity and temperature. Promoting these parameters to Goldstone modes or collective coordinate fields -- arbitrary functions of the coordinates on the boundary of AdS5 -- we use Einstein's equations together with regularity requirements and boundary conditions to determine their dynamics. The resultant equations turn out to be those of boundary fluid dynamics, with specific values for fluid parameters. Our analysis is perturbative in the boundary derivative expansion but is valid for arbitrary amplitudes. Our work may be regarded as a derivation of the nonlinear equations of boundary fluid dynamics from gravity. As a concrete application we find an explicit expression for the expansion of this fluid stress tensor including terms up to second order in the derivative expansion.

11.726216

9.874085

11.772698

10.837048

11.888573

10.789858

11.274949

10.498585

10.757334

11.7631

10.590052

10.08446

10.889866

10.18126

10.467667

10.081118

10.142612

10.133669

10.304725

11.196049

10.646481

hep-th/9408116

Neil Marcus

Neil Marcus and Shimon Yankielowicz

The B model as a twisted spinning particle

25/17 Pages big/little (LaTeX), TAUP-2192-94, CERN-TH.7402/94

Nucl.Phys.B432:225-245,1994

10.1016/0550-3213(94)90601-7

null

hep-th

null

The B-twisted topological sigma model coupled to topological gravity is supposed to be described by an ordinary field theory: a type of holomorphic Chern-Simons theory for the open string, and the Kodaira-Spencer theory for the closed string. We show that the B model can be represented as a PARTICLE theory, obtained by reducing the sigma model to one dimension, and replacing the coupling to topological gravity by a coupling to a twisted one-dimensional supergravity. The particle can be defined on ANY Kahler manifold--it does not require the Calabi-Yau condition--so it may provide a more generalized setting for the B model than the topological sigma model. The one-loop partition function of the particle can be written in terms of the Ray-Singer torsion of the manifold, and agrees with that of the original B model. After showing how to deform the Kahler and complex structures in the particle, we prove the independence of this partition function on the Kahler structure, and investigate the origin of the holomorphic anomaly. To define other amplitudes, one needs to introduce interactions into the particle. The particle will then define a field theory, which may or may not be the Chern-Simons or Kodaira-Spencer theories.

[ { "created": "Sun, 21 Aug 1994 18:54:31 GMT", "version": "v1" } ]

2010-11-01

[ [ "Marcus", "Neil", "" ], [ "Yankielowicz", "Shimon", "" ] ]

The B-twisted topological sigma model coupled to topological gravity is supposed to be described by an ordinary field theory: a type of holomorphic Chern-Simons theory for the open string, and the Kodaira-Spencer theory for the closed string. We show that the B model can be represented as a PARTICLE theory, obtained by reducing the sigma model to one dimension, and replacing the coupling to topological gravity by a coupling to a twisted one-dimensional supergravity. The particle can be defined on ANY Kahler manifold--it does not require the Calabi-Yau condition--so it may provide a more generalized setting for the B model than the topological sigma model. The one-loop partition function of the particle can be written in terms of the Ray-Singer torsion of the manifold, and agrees with that of the original B model. After showing how to deform the Kahler and complex structures in the particle, we prove the independence of this partition function on the Kahler structure, and investigate the origin of the holomorphic anomaly. To define other amplitudes, one needs to introduce interactions into the particle. The particle will then define a field theory, which may or may not be the Chern-Simons or Kodaira-Spencer theories.

7.260917

6.66971

7.69919

6.497464

7.332307

6.994019

6.62887

6.748178

6.964583

7.827323

6.714702

6.651707

7.463654

6.817405

6.8985

6.775081

6.913852

6.762761

6.960324

7.506793

6.802201

2001.10534

Himanshu Parihar

Jaydeep Kumar Basak, Himanshu Parihar, Boudhayan Paul and Gautam Sengupta

Holographic entanglement negativity for disjoint subsystems in $\mathrm{AdS_{d+1}/CFT_d}$

20 pages, 5 figures, v3: minor modifications

null

hep-th

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

We propose a construction to compute the holographic entanglement negativity for bipartite mixed state configurations of two disjoint subsystems in higher dimensional conformal field theories (CFT$_d$s) dual to bulk AdS$_{d+1}$ geometries. Our proposal follows from the corresponding AdS$_3$/CFT$_2$ scenario and involves an algebraic sum of the areas of bulk RT surfaces for certain combinations of subsystems. Utilizing our construction we compute the holographic entanglement negativity at the leading order through a perturbative expansion, for such bipartite mixed states of two disjoint subsystems with long rectangular strip geometries in CFT$_d$s dual to bulk pure AdS$_{d+1}$ geometries and AdS$_{d+1}$-Schwarzschild black holes.

[ { "created": "Tue, 28 Jan 2020 15:23:24 GMT", "version": "v1" }, { "created": "Mon, 24 Feb 2020 08:08:40 GMT", "version": "v2" }, { "created": "Mon, 4 Mar 2024 04:42:11 GMT", "version": "v3" } ]

2024-03-05

[ [ "Basak", "Jaydeep Kumar", "" ], [ "Parihar", "Himanshu", "" ], [ "Paul", "Boudhayan", "" ], [ "Sengupta", "Gautam", "" ] ]

We propose a construction to compute the holographic entanglement negativity for bipartite mixed state configurations of two disjoint subsystems in higher dimensional conformal field theories (CFT$_d$s) dual to bulk AdS$_{d+1}$ geometries. Our proposal follows from the corresponding AdS$_3$/CFT$_2$ scenario and involves an algebraic sum of the areas of bulk RT surfaces for certain combinations of subsystems. Utilizing our construction we compute the holographic entanglement negativity at the leading order through a perturbative expansion, for such bipartite mixed states of two disjoint subsystems with long rectangular strip geometries in CFT$_d$s dual to bulk pure AdS$_{d+1}$ geometries and AdS$_{d+1}$-Schwarzschild black holes.

5.710926

4.19811

6.197154

4.401096

4.383154

4.308188

4.505903

4.257354

4.56692

6.64362

4.509377

4.883004

5.744667

5.017407

4.978138

5.013937

4.933417

5.017325

5.004986

5.824871

5.086703

1811.06987

Clay C\'ordova

Clay Cordova, G. Bruno De Luca, Alessandro Tomasiello

AdS$_8$ Solutions in Type II Supergravity

28 pages, 3 figures. v2 additional comments

null

10.1007/JHEP07(2019)127

null

hep-th

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

We find non-supersymmetric AdS$_8$ solutions of type IIA supergravity. The internal space is topologically an $S^2$ with a U(1) isometry. The only non-zero flux is $F_0$; an O8 sourcing it is present at the equator of the $S^2$. The warping function and dilaton are non-constant. It is also possible to add D8-branes on top of the O8. Possible destabilizing brane bubbles (whose presence would be suggested by the weak-gravity conjecture) are either absent or collapsing. Our solutions are candidate holographic duals to unitary interacting CFTs in seven dimensions with exceptional global symmetry. We also present analogous non-supersymmetric AdS$_{d}$ solutions for general $d$ which are supported only by $F_0$.

[ { "created": "Fri, 16 Nov 2018 19:00:06 GMT", "version": "v1" }, { "created": "Tue, 19 Feb 2019 17:15:18 GMT", "version": "v2" } ]

2019-09-04

[ [ "Cordova", "Clay", "" ], [ "De Luca", "G. Bruno", "" ], [ "Tomasiello", "Alessandro", "" ] ]

We find non-supersymmetric AdS$_8$ solutions of type IIA supergravity. The internal space is topologically an $S^2$ with a U(1) isometry. The only non-zero flux is $F_0$; an O8 sourcing it is present at the equator of the $S^2$. The warping function and dilaton are non-constant. It is also possible to add D8-branes on top of the O8. Possible destabilizing brane bubbles (whose presence would be suggested by the weak-gravity conjecture) are either absent or collapsing. Our solutions are candidate holographic duals to unitary interacting CFTs in seven dimensions with exceptional global symmetry. We also present analogous non-supersymmetric AdS$_{d}$ solutions for general $d$ which are supported only by $F_0$.

8.391425

7.579664

10.252843

6.762418

7.644568

8.234652

8.11779

7.536377

7.640242

10.203793

7.306363

7.474996

8.584841

7.788931

7.624185

7.756547

7.745022

7.69454

7.659721

8.324954

7.889497

1412.8751

Rampei Kimura

Gregory Gabadadze, Rampei Kimura, David Pirtskhalava

Vainshtein Solutions Without Superluminal Modes

30 pages, 1 figure

Phys. Rev. D 91, 124024 (2015)

10.1103/PhysRevD.91.124024

null

hep-th gr-qc

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

The Vainshtein mechanism suppresses the fifth force at astrophysical distances, while enabling it to compete with gravity at cosmological scales. Typically, Vainshtein solutions exhibit superluminal perturbations. However, a restricted class of solutions with special boundary conditions were shown to be devoid of the faster-than-light modes. Here we extend this class by finding solutions in a theory of quasidilaton, amended by derivative terms consistent with its symmetries. Solutions with Minkowski asymptotics are not stable, while the ones that exhibit the Vainshtein mechanism by transitioning to cosmological backgrounds are free of ghosts, tachyons, gradient instability, and superluminality, for all propagating modes present in the theory. These solutions require special choice of the strength and signs of nonlinear terms, as well as a choice of asymptotic cosmological boundary conditions.

[ { "created": "Tue, 30 Dec 2014 20:14:36 GMT", "version": "v1" } ]

2015-06-17

[ [ "Gabadadze", "Gregory", "" ], [ "Kimura", "Rampei", "" ], [ "Pirtskhalava", "David", "" ] ]

The Vainshtein mechanism suppresses the fifth force at astrophysical distances, while enabling it to compete with gravity at cosmological scales. Typically, Vainshtein solutions exhibit superluminal perturbations. However, a restricted class of solutions with special boundary conditions were shown to be devoid of the faster-than-light modes. Here we extend this class by finding solutions in a theory of quasidilaton, amended by derivative terms consistent with its symmetries. Solutions with Minkowski asymptotics are not stable, while the ones that exhibit the Vainshtein mechanism by transitioning to cosmological backgrounds are free of ghosts, tachyons, gradient instability, and superluminality, for all propagating modes present in the theory. These solutions require special choice of the strength and signs of nonlinear terms, as well as a choice of asymptotic cosmological boundary conditions.

9.409284

10.545896

9.591649

8.874276

9.753798

10.201909

9.818877

9.403921

9.875692

10.44262

9.790447

9.249927

9.037199

8.944543

8.827838

9.145307

9.030323

8.890167

9.089426

9.253057

9.019302

hep-th/0105258

Marco Billo'

M. Billo', L. Gallot and A. Liccardo

Classical geometry and gauge duals for fractional branes on ALE orbifolds

LaTeX 2e, 27 pages, 4 figures

Nucl.Phys. B614 (2001) 254-278

10.1016/S0550-3213(01)00399-6

DFTT 14/2001

hep-th

null

We investigate the classical geometry corresponding to a collection of fractional D3 branes in the orbifold limit of an ALE space. We discuss its interpretation in terms of the world-volume gauge theory on the branes, which is in general a non conformal N=2 Yang-Mills theory with matter. The twisted fields reproduce the perturbative behaviour of the gauge theory. We regulate the IR singularities for both twisted and untwisted fields by means of an enhancon mechanism qualitatively consistent with the gauge theory expectations. The five-form flux decreases logarithmically towards the IR with a coefficient dictated by the gauge theory beta-functions.

[ { "created": "Fri, 25 May 2001 16:26:50 GMT", "version": "v1" } ]

2016-09-06

[ [ "Billo'", "M.", "" ], [ "Gallot", "L.", "" ], [ "Liccardo", "A.", "" ] ]

We investigate the classical geometry corresponding to a collection of fractional D3 branes in the orbifold limit of an ALE space. We discuss its interpretation in terms of the world-volume gauge theory on the branes, which is in general a non conformal N=2 Yang-Mills theory with matter. The twisted fields reproduce the perturbative behaviour of the gauge theory. We regulate the IR singularities for both twisted and untwisted fields by means of an enhancon mechanism qualitatively consistent with the gauge theory expectations. The five-form flux decreases logarithmically towards the IR with a coefficient dictated by the gauge theory beta-functions.

11.248834

9.804316

10.421131

8.427541

9.481772

9.585735

9.329696

8.782465

9.061622

12.818101

9.249357

9.155406

10.389426

9.480342

9.388165

9.836166

9.504959

9.523085

9.485594

10.737465

9.48265

2401.02760

Yi-Xiao Tao

Pratik Chattopadhyay, Yi-Xiao Tao

Celestial self-dual Yang-Mills theory: a new formula and the OPE limit

JHEP version

null

10.1007/JHEP03(2024)100

null

hep-th

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

Celestial holography is a new way to understand flat-space amplitudes. Self-dual theories, due to their nice properties, are good subjects to study celestial holography. In this paper, we developed a new formula to calculate the celestial color-ordered self-dual Yang-Mills amplitudes based on celestial Berends-Giele currents, which makes the leading OPE limit manifest. In addition, we explore some higher-order terms of OPE in the celestial self-dual Yang-Mills theory.

[ { "created": "Fri, 5 Jan 2024 11:24:03 GMT", "version": "v1" }, { "created": "Fri, 12 Jan 2024 16:44:20 GMT", "version": "v2" }, { "created": "Tue, 19 Mar 2024 03:36:59 GMT", "version": "v3" } ]

2024-03-20

[ [ "Chattopadhyay", "Pratik", "" ], [ "Tao", "Yi-Xiao", "" ] ]

Celestial holography is a new way to understand flat-space amplitudes. Self-dual theories, due to their nice properties, are good subjects to study celestial holography. In this paper, we developed a new formula to calculate the celestial color-ordered self-dual Yang-Mills amplitudes based on celestial Berends-Giele currents, which makes the leading OPE limit manifest. In addition, we explore some higher-order terms of OPE in the celestial self-dual Yang-Mills theory.

11.069311

8.22549

11.953277

7.82761

8.31041

9.825497

8.410403

7.922888

7.912436

13.259951

8.060539

8.273746

9.381794

8.274263

8.397668

8.338523

8.600745

8.321034

8.255009

9.182424

8.343223

hep-th/0402035

Stefano Arnone

Stefano Arnone, Francesco Guerrieri and Kensuke Yoshida

N=1* model and glueball superpotential from Renormalization-Group-improved perturbation theory

19 pages, no figures; added references; note added at the end of the paper; version to appear in JHEP

JHEP 0405:031,2004

10.1088/1126-6708/2004/05/031

null

hep-th

null

A method for computing the low-energy non-perturbative properties of SUSY GFT, starting from the microscopic lagrangian model, is presented. The method relies on covariant SUSY Feynman graph techniques, adapted to low energy, and Renormalization-Group-improved perturbation theory. We apply the method to calculate the glueball superpotential in N=1 SU(2) SYM and obtain a potential of the Veneziano-Yankielowicz type.

[ { "created": "Wed, 4 Feb 2004 18:50:58 GMT", "version": "v1" }, { "created": "Fri, 14 May 2004 09:51:03 GMT", "version": "v2" } ]

2010-02-03

[ [ "Arnone", "Stefano", "" ], [ "Guerrieri", "Francesco", "" ], [ "Yoshida", "Kensuke", "" ] ]

A method for computing the low-energy non-perturbative properties of SUSY GFT, starting from the microscopic lagrangian model, is presented. The method relies on covariant SUSY Feynman graph techniques, adapted to low energy, and Renormalization-Group-improved perturbation theory. We apply the method to calculate the glueball superpotential in N=1 SU(2) SYM and obtain a potential of the Veneziano-Yankielowicz type.

12.673644

11.034868

12.332732

11.338575

10.960525

10.778115

10.780235

10.572748

9.541951

13.881166

10.73496

10.51777

12.276998

10.884654

11.087894

10.540079

10.534029

10.684851

10.681923

11.93747

10.548572

1811.12658

Josef Kluson

J. Kluson

Note About T-duality of Non-Relativistic String

12 pages, references added

null

10.1007/JHEP08(2019)074

null

hep-th

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

In this note we perform canonical analysis of T-duality for non-relativistic string in stringy Newton-Cartan background. We confirm recent result that T-duality along longitudinal spatial direction of stringy Newton-Cartan geometry maps non-relativistic string to the relativistic string that propagates on the background with light-like isometry.

[ { "created": "Fri, 30 Nov 2018 07:58:41 GMT", "version": "v1" }, { "created": "Wed, 12 Dec 2018 10:10:38 GMT", "version": "v2" } ]

2019-09-04

[ [ "Kluson", "J.", "" ] ]

In this note we perform canonical analysis of T-duality for non-relativistic string in stringy Newton-Cartan background. We confirm recent result that T-duality along longitudinal spatial direction of stringy Newton-Cartan geometry maps non-relativistic string to the relativistic string that propagates on the background with light-like isometry.

8.070498

5.732015

8.274433

6.620478

6.348176

5.844122

6.421417

6.553902

6.378556

8.939822

6.590157

6.315048

8.161274

7.167099

6.980938

6.327779

6.780203

6.723689

6.975358

8.279492

6.417476

1708.04335

Ignacio Salazar

Ra\'ul E. Arias and Ignacio Salazar Landea

Thermoelectric Transport Coefficients from Charged Solv and Nil Black Holes

19 pages, 9 figures. v2: refs and details on computations added. arXiv admin note: text overlap with arXiv:1503.01716 by other authors

null

10.1007/JHEP12(2017)087

null

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

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

In the present work we study charged black hole solutions of the Einstein-Maxwell action that have Thurston geometries on its near horizon region. In particular we find solutions with charged Solv and Nil geometry horizons. We also find Nil black holes with hyperscaling violation. For all our solutions we compute the thermoelectric DC transport coefficients of the corresponding dual field theory. We find that the Solv and Nil black holes without hyperscaling violation are dual to metals while those with hyperscaling violation are dual to insulators.

[ { "created": "Mon, 14 Aug 2017 21:31:28 GMT", "version": "v1" }, { "created": "Fri, 22 Dec 2017 20:01:43 GMT", "version": "v2" } ]

2018-01-17

[ [ "Arias", "Raúl E.", "" ], [ "Landea", "Ignacio Salazar", "" ] ]

In the present work we study charged black hole solutions of the Einstein-Maxwell action that have Thurston geometries on its near horizon region. In particular we find solutions with charged Solv and Nil geometry horizons. We also find Nil black holes with hyperscaling violation. For all our solutions we compute the thermoelectric DC transport coefficients of the corresponding dual field theory. We find that the Solv and Nil black holes without hyperscaling violation are dual to metals while those with hyperscaling violation are dual to insulators.

7.760289

6.614348

8.053826

6.28138

6.964315

6.995424

7.144839

6.757523

6.754838

8.897196

6.349824

6.548813

7.558838

6.931231

6.991095

7.09008

6.670092

6.739815

6.929869

7.302065

6.632776

2208.08803

Teng Ji

Teng Ji, Li Li and Hao-Tian Sun

Thermoelectric Transport in Holographic Quantum Matter under Shear Strain

35 pages, 13 figures

null

10.1088/1572-9494/aca0e1

null

hep-th cond-mat.str-el

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

We study the thermoelectric transport under shear strain in two spatial dimensional quantum matter using the holographic duality. General analytic formulae for the DC thermoelectric conductivities subjected to finite shear strain are obtained in terms of the black hole horizon data. Off-diagonal terms in the conductivity matrix appear also at zero magnetic field, resembling an emergent electronic nematicity which cannot nevertheless be identified with the presence of an anomalous Hall effect. For an explicit model study, we numerically construct a family of strained black holes and obtain the corresponding nonlinear stress-strain curves. We then compute all electric, thermoelectric, and thermal conductivities and discuss the effects of strain. While the shear elastic deformation does not affect the temperature dependence of thermoelectric and thermal conductivities quantitatively, it can strongly change the behavior of the electric conductivity. For both shear hardening and softening cases, we find a clear metal-insulator transition driven by the shear deformation. Moreover, the violation of the previously conjectured thermal conductivity bound is observed for large shear deformation.

[ { "created": "Thu, 18 Aug 2022 12:43:52 GMT", "version": "v1" }, { "created": "Fri, 9 Dec 2022 04:17:35 GMT", "version": "v2" } ]

2022-12-28

[ [ "Ji", "Teng", "" ], [ "Li", "Li", "" ], [ "Sun", "Hao-Tian", "" ] ]

We study the thermoelectric transport under shear strain in two spatial dimensional quantum matter using the holographic duality. General analytic formulae for the DC thermoelectric conductivities subjected to finite shear strain are obtained in terms of the black hole horizon data. Off-diagonal terms in the conductivity matrix appear also at zero magnetic field, resembling an emergent electronic nematicity which cannot nevertheless be identified with the presence of an anomalous Hall effect. For an explicit model study, we numerically construct a family of strained black holes and obtain the corresponding nonlinear stress-strain curves. We then compute all electric, thermoelectric, and thermal conductivities and discuss the effects of strain. While the shear elastic deformation does not affect the temperature dependence of thermoelectric and thermal conductivities quantitatively, it can strongly change the behavior of the electric conductivity. For both shear hardening and softening cases, we find a clear metal-insulator transition driven by the shear deformation. Moreover, the violation of the previously conjectured thermal conductivity bound is observed for large shear deformation.

10.432226

11.034605

11.523277

9.611824

10.608985

10.413807

10.49082

10.249597

10.136314

11.501245

9.801354

10.102448

10.937809

10.040459

10.367064

9.943393

10.31621

10.127396

10.20224

10.464785

10.018139

1411.1785

Jan Holland

Jan Holland, Stefan Hollands and Christoph Kopper

The operator product expansion converges in massless $\varphi_4^4$-theory

57 pages, 10 figures

null

10.1007/s00220-015-2486-6

CPHT-RR050.0914

hep-th math-ph math.MP

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

It has been shown recently that the mathematical status of the operator product expansion (OPE) is better than was expected before: namely considering massive Euclidean $\varphi^4$-theory in the perturbative loop expansion, the OPE converges at any loop order when considering (as is usually done) composite operator insertions into correlation functions. In the present paper we prove the same result for the massless theory. While the short-distance properties of massive and massless theories may be expected to be similar on physical grounds, the proof in the massless case requires entirely new techniques. In our inductive construction we have to control with sufficient precision the exceptional momentum singularities of the massless correlation functions. In fact the bounds we state are expressed in terms of weight factors associated to certain tree graphs. Our proof is again based on the flow equations of the renormalisation group.

[ { "created": "Thu, 6 Nov 2014 22:36:04 GMT", "version": "v1" } ]

2016-01-13

[ [ "Holland", "Jan", "" ], [ "Hollands", "Stefan", "" ], [ "Kopper", "Christoph", "" ] ]

It has been shown recently that the mathematical status of the operator product expansion (OPE) is better than was expected before: namely considering massive Euclidean $\varphi^4$-theory in the perturbative loop expansion, the OPE converges at any loop order when considering (as is usually done) composite operator insertions into correlation functions. In the present paper we prove the same result for the massless theory. While the short-distance properties of massive and massless theories may be expected to be similar on physical grounds, the proof in the massless case requires entirely new techniques. In our inductive construction we have to control with sufficient precision the exceptional momentum singularities of the massless correlation functions. In fact the bounds we state are expressed in terms of weight factors associated to certain tree graphs. Our proof is again based on the flow equations of the renormalisation group.

10.517113

10.929877

11.260555

10.536119

11.153932

12.084361

10.907773

10.627572

10.334289

11.034614

11.099733

10.52383

10.01799

9.887648

10.210881

10.427146

10.383201

10.145165

10.32543

10.259606

10.418893

1108.2659

Michele Cicoli

Michele Cicoli and Fernando Quevedo

String moduli inflation: an overview

20 pages, 1 figure, invited contribution for a special CQG issue on String Cosmology. Typos corrected and references added

Class.Quant.Grav.28:204001,2011

10.1088/0264-9381/28/20/204001

DESY 11-088

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

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

We present an overview of inflationary models derived from string theory focusing mostly on closed string moduli as inflatons. After a detailed discussion of the eta-problem and different approaches to address it, we describe possible ways to obtain a de Sitter vacuum with all closed string moduli stabilised. We then look for inflationary directions and present some of the most promising scenarios where the inflatons are either the real or the imaginary part of Kaehler moduli. We pay particular attention on extracting potential observable implications, showing how most of the scenarios predict negligible gravitational waves and could therefore be ruled out by the Planck satellite. We conclude by briefly mentioning some open challenges in string cosmology beyond deriving just inflation.

[ { "created": "Fri, 12 Aug 2011 17:10:16 GMT", "version": "v1" }, { "created": "Wed, 7 Sep 2011 14:14:40 GMT", "version": "v2" } ]

2015-03-19

[ [ "Cicoli", "Michele", "" ], [ "Quevedo", "Fernando", "" ] ]

We present an overview of inflationary models derived from string theory focusing mostly on closed string moduli as inflatons. After a detailed discussion of the eta-problem and different approaches to address it, we describe possible ways to obtain a de Sitter vacuum with all closed string moduli stabilised. We then look for inflationary directions and present some of the most promising scenarios where the inflatons are either the real or the imaginary part of Kaehler moduli. We pay particular attention on extracting potential observable implications, showing how most of the scenarios predict negligible gravitational waves and could therefore be ruled out by the Planck satellite. We conclude by briefly mentioning some open challenges in string cosmology beyond deriving just inflation.

10.165445

10.371585

10.496279

9.945162

10.335452

10.190604

9.876147

10.669831

10.068051

10.823624

10.115207

10.045714

10.517836

9.948468

9.966409

10.316665

9.975989

10.265372

10.122649

10.41438

10.11467

1109.4834

Hisham Sati

Topological aspects of the NS5-brane

17 pages, arguments and presentation sharpened

null

hep-th math.AT

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

In this note we investigate certain topological aspects of the effective action of the NS5-brane in type IIA string theory. To facilitate the study of the corresponding partition function, we define a cohomology class whose vanishing is a necessary condition for this function to be well-defined. This leads to various topological conditions, including a twisted Fivebrane structure as well as secondary cohomology operations arising from a K-theoretic description. We explain how these operations also generate the topological part of the action as well as the phase of the partition function. Part of the discussion also applies to the M5-brane.

[ { "created": "Thu, 22 Sep 2011 14:52:45 GMT", "version": "v1" }, { "created": "Mon, 29 Apr 2013 23:42:31 GMT", "version": "v2" }, { "created": "Fri, 31 Oct 2014 21:12:25 GMT", "version": "v3" } ]

2014-11-04

[ [ "Sati", "Hisham", "" ] ]

In this note we investigate certain topological aspects of the effective action of the NS5-brane in type IIA string theory. To facilitate the study of the corresponding partition function, we define a cohomology class whose vanishing is a necessary condition for this function to be well-defined. This leads to various topological conditions, including a twisted Fivebrane structure as well as secondary cohomology operations arising from a K-theoretic description. We explain how these operations also generate the topological part of the action as well as the phase of the partition function. Part of the discussion also applies to the M5-brane.

9.505124

9.063841

10.786795

9.60705

9.644175

9.825064

9.120249

8.920841

8.752659

10.373417

8.802124

8.651069

9.547893

8.465117

8.918177

8.434991

8.88638

8.741354

8.692993

9.543907

8.6747

1305.5547

Jun Nishimura

Jun Nishimura, Asato Tsuchiya

Realizing chiral fermions in the type IIB matrix model at finite N

4 pages, 2 figures; (v2) analysis in section 3 improved

null

10.1007/JHEP12(2013)002

KEK-TH-1635

hep-th hep-lat hep-ph

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

We discuss how chiral fermions can appear in the type IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. In particular, we are concerned with a constructive definition of the theory, in which we start with a finite-N configuration and take the large-N limit later on. We point out that there exists a certain necessary condition which the structure of the extra dimensions should satisfy. As an example, we consider a previous proposal using intersecting branes and show that chiral fermions can indeed be realized in four dimensions by introducing a matrix counterpart of warped space-time. This is remarkable in view of the well-known difficulty in realizing chiral fermions in lattice gauge theory.

[ { "created": "Thu, 23 May 2013 20:02:22 GMT", "version": "v1" }, { "created": "Fri, 6 Dec 2013 09:03:37 GMT", "version": "v2" } ]

2015-06-16

[ [ "Nishimura", "Jun", "" ], [ "Tsuchiya", "Asato", "" ] ]

We discuss how chiral fermions can appear in the type IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. In particular, we are concerned with a constructive definition of the theory, in which we start with a finite-N configuration and take the large-N limit later on. We point out that there exists a certain necessary condition which the structure of the extra dimensions should satisfy. As an example, we consider a previous proposal using intersecting branes and show that chiral fermions can indeed be realized in four dimensions by introducing a matrix counterpart of warped space-time. This is remarkable in view of the well-known difficulty in realizing chiral fermions in lattice gauge theory.

7.920841

6.719576

8.29037

7.257532

7.316422

7.023771

6.905001

6.651484

7.102889

8.470404

7.197031

7.433336

8.086039

7.639049

7.379107

7.287004

7.195954

7.469697

7.356067

8.152804

7.43189

hep-th/9803251

null

Mans Henningson and Konstadinos Sfetsos

Spinors and the AdS/CFT correspondence

9 pages, harvmac; minor changes, added references

Phys.Lett. B431 (1998) 63-68

10.1016/S0370-2693(98)00559-0

CERN-TH/98-78

hep-th

null

We consider a free massive spinor field in Euclidean Anti-de Sitter space. The usual Dirac action in bulk is supplemented by a certain boundary term. The boundary conditions of the field are parametrized by a spinor on the boundary, subject to a projection. We calculate the dependence of the partition function on this boundary spinor. The result agrees with the generating functional of the correlation functions of a quasi-primary spinor operator, of a certain scaling dimension, in a free conformal field theory on the boundary.

[ { "created": "Mon, 30 Mar 1998 20:41:17 GMT", "version": "v1" }, { "created": "Fri, 3 Apr 1998 09:10:18 GMT", "version": "v2" } ]

2009-10-31

[ [ "Henningson", "Mans", "" ], [ "Sfetsos", "Konstadinos", "" ] ]

We consider a free massive spinor field in Euclidean Anti-de Sitter space. The usual Dirac action in bulk is supplemented by a certain boundary term. The boundary conditions of the field are parametrized by a spinor on the boundary, subject to a projection. We calculate the dependence of the partition function on this boundary spinor. The result agrees with the generating functional of the correlation functions of a quasi-primary spinor operator, of a certain scaling dimension, in a free conformal field theory on the boundary.

7.217866

6.444004

7.79168

6.593047

7.191935

6.686751

6.552564

6.372073

6.276747

7.753574

6.697724

6.345509

7.18625

6.65597

6.503002

6.254332

6.468478

6.662741

6.744281

6.974736

6.841204

1908.01785

Ander Retolaza

Iosif Bena, Mariana Gra\~na, Nicolas Kovensky and Ander Retolaza

K\"ahler moduli stabilization from ten dimensions

21 pages. v2: version published in JHEP with minor modifications

JHEP 1910 (2019) 200

10.1007/JHEP10(2019)200

null

hep-th

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

We describe the back-reaction of gaugino condensates in supersymmetric AdS$_4$ Type II String Theory compactifications with fluxes. We use generalized complex geometry to capture the modification of the ten-dimensional supersymmetry equations and show that the cosmological constant prevents the cycle wrapped by the branes with gaugino condensation from shrinking to zero size. Thus, unlike in ordinary geometric transitions in flat space, the volume of this cycle remains finite. For D7 branes with gaugino condensation, this gives a ten-dimensional account of K\"ahler moduli stabilization. Furthermore, by matching the ten-dimensional supergravity solutions near and far from the cycle wrapped by the D7 branes, we find a relation between the size of this cycle and the cosmological constant. This relation agrees with the supersymmetric AdS vacuum condition obtained by KKLT using effective field theory.

[ { "created": "Mon, 5 Aug 2019 18:01:14 GMT", "version": "v1" }, { "created": "Mon, 18 Nov 2019 17:10:58 GMT", "version": "v2" } ]

2019-11-19

[ [ "Bena", "Iosif", "" ], [ "Graña", "Mariana", "" ], [ "Kovensky", "Nicolas", "" ], [ "Retolaza", "Ander", "" ] ]

We describe the back-reaction of gaugino condensates in supersymmetric AdS$_4$ Type II String Theory compactifications with fluxes. We use generalized complex geometry to capture the modification of the ten-dimensional supersymmetry equations and show that the cosmological constant prevents the cycle wrapped by the branes with gaugino condensation from shrinking to zero size. Thus, unlike in ordinary geometric transitions in flat space, the volume of this cycle remains finite. For D7 branes with gaugino condensation, this gives a ten-dimensional account of K\"ahler moduli stabilization. Furthermore, by matching the ten-dimensional supergravity solutions near and far from the cycle wrapped by the D7 branes, we find a relation between the size of this cycle and the cosmological constant. This relation agrees with the supersymmetric AdS vacuum condition obtained by KKLT using effective field theory.

7.706831

7.857934

8.240054

7.234183

7.625693

8.159852

7.378932

7.366465

7.970367

9.630869

7.491706

7.396803

7.998057

7.297998

7.389029

7.281449

7.240799

7.097205

7.149528

7.867862

7.386294

hep-th/0507221

Maxim Chernodub

M. N. Chernodub

Liquid crystal defects and confinement in Yang-Mills theory

9 pages, 5 figures, RevTeX style

JETP Lett. 83 (2006) 268-272

10.1134/S0021364006070022

ITEP-LAT/2005-13

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

null

We show that in the Landau gauge of the SU(2) Yang-Mills theory the residual global symmetry supports existence of the topological vortices which resemble disclination defects in the nematic liquid crystals and the Alice (half-quantum) vortices in the superfluid heluim 3 in the A-phase. The theory also possesses half-integer and integer charged monopoles which are analogous to the point-like defects in the nematic crystal and in the liquid helium. We argue that the deconfinement phase transition in the Yang-Mills theory in the Landau gauge is associated with the proliferation of these vortices and/or monopoles. The disorder caused by these defects is suggested to be responsible for the confinement of quarks in the low-temperature phase.

[ { "created": "Fri, 22 Jul 2005 00:01:37 GMT", "version": "v1" } ]

2009-11-11

[ [ "Chernodub", "M. N.", "" ] ]

We show that in the Landau gauge of the SU(2) Yang-Mills theory the residual global symmetry supports existence of the topological vortices which resemble disclination defects in the nematic liquid crystals and the Alice (half-quantum) vortices in the superfluid heluim 3 in the A-phase. The theory also possesses half-integer and integer charged monopoles which are analogous to the point-like defects in the nematic crystal and in the liquid helium. We argue that the deconfinement phase transition in the Yang-Mills theory in the Landau gauge is associated with the proliferation of these vortices and/or monopoles. The disorder caused by these defects is suggested to be responsible for the confinement of quarks in the low-temperature phase.

7.012172

7.83058

6.934558

6.786494

7.621264

7.236068

6.834991

6.719376

6.690529

6.950394

6.986607

6.697988

6.610298

6.578581

6.7817

6.527239

6.615696

6.671121

6.776525

6.62807

6.587997

0708.0596

Christopher Beem

Mina Aganagic, Christopher Beem, Ben Freivogel

Geometric Metastability, Quivers and Holography

v2: 56 pages, 4 figures, harvmac, abstract corrected

Nucl.Phys.B795:291-333,2008

10.1016/j.nuclphysb.2007.11.031

null

hep-th

null

We use large N duality to study brane/anti-brane configurations on a class of Calabi-Yau manifolds. With only branes present, the Calabi-Yau manifolds in question give rise to N=2 ADE quiver theories deformed by superpotential terms. We show that the large N duality conjecture of hep-th/0610249 reproduces correctly the known qualitative features of the brane/anti-brane physics. In the supersymmetric case, the gauge theories have Seiberg dualities which are represented as flops in the geometry. Moreover, the holographic dual geometry encodes the whole RG flow of the gauge theory. In the non-supersymmetric case, the large N duality predicts that the brane/anti-brane theories also enjoy such dualities, and allows one to pick out the good description at a given energy scale.

[ { "created": "Mon, 6 Aug 2007 15:31:23 GMT", "version": "v1" }, { "created": "Thu, 27 Sep 2007 18:34:23 GMT", "version": "v2" } ]

2008-11-26

[ [ "Aganagic", "Mina", "" ], [ "Beem", "Christopher", "" ], [ "Freivogel", "Ben", "" ] ]

We use large N duality to study brane/anti-brane configurations on a class of Calabi-Yau manifolds. With only branes present, the Calabi-Yau manifolds in question give rise to N=2 ADE quiver theories deformed by superpotential terms. We show that the large N duality conjecture of hep-th/0610249 reproduces correctly the known qualitative features of the brane/anti-brane physics. In the supersymmetric case, the gauge theories have Seiberg dualities which are represented as flops in the geometry. Moreover, the holographic dual geometry encodes the whole RG flow of the gauge theory. In the non-supersymmetric case, the large N duality predicts that the brane/anti-brane theories also enjoy such dualities, and allows one to pick out the good description at a given energy scale.

7.062502

6.638065

9.260803

6.560483

7.05441

6.298544

6.395524

6.386366

6.379983

8.308399

6.592061

6.390163

7.672957

6.667377

6.645439

6.593874

6.613936

6.517029

6.510767

7.544697

6.622863

hep-th/0503014

Nuno M. Rom\~ao

Gauged vortices in a background

Final version: 22 pages, LaTeX, 1 eps figure

J.Phys.A38:9127-9144,2005

10.1088/0305-4470/38/41/020

null

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

null

We discuss the statistical mechanics of a gas of gauged vortices in the canonical formalism. At critical self-coupling, and for low temperatures, it has been argued that the configuration space for vortex dynamics in each topological class of the abelian Higgs model approximately truncates to a finite-dimensional moduli space with a Kaehler structure. For the case where the vortices live on a 2-sphere, we explain how localisation formulas on the moduli spaces can be used to compute explicitly the partition function of the vortex gas interacting with a background potential. The coefficients of this analytic function provide geometrical data about the Kaehler structures, the simplest of which being their symplectic volume (computed previously by Manton using an alternative argument). We use the partition function to deduce simple results on the thermodynamics of the vortex system; in particular, the average height on the sphere is computed and provides an interesting effective picture of the ground state.

[ { "created": "Wed, 2 Mar 2005 11:54:03 GMT", "version": "v1" }, { "created": "Wed, 14 Sep 2005 08:53:50 GMT", "version": "v2" } ]

2011-04-08

[ [ "Romão", "Nuno M.", "" ] ]

We discuss the statistical mechanics of a gas of gauged vortices in the canonical formalism. At critical self-coupling, and for low temperatures, it has been argued that the configuration space for vortex dynamics in each topological class of the abelian Higgs model approximately truncates to a finite-dimensional moduli space with a Kaehler structure. For the case where the vortices live on a 2-sphere, we explain how localisation formulas on the moduli spaces can be used to compute explicitly the partition function of the vortex gas interacting with a background potential. The coefficients of this analytic function provide geometrical data about the Kaehler structures, the simplest of which being their symplectic volume (computed previously by Manton using an alternative argument). We use the partition function to deduce simple results on the thermodynamics of the vortex system; in particular, the average height on the sphere is computed and provides an interesting effective picture of the ground state.

12.230946

11.688523

12.772408

11.5826

11.894747

11.886554

11.882757

11.687316

11.275267

14.066264

11.162708

11.989456

12.903111

11.817842

12.015947

12.21002

11.54375

11.647877

12.243649

12.579805

11.69907

1106.1870

Ofer Aharony

Ofer Aharony, Leon Berdichevsky, Micha Berkooz and Itamar Shamir

Near-horizon solutions for D3-branes ending on 5-branes

32 pages, 5 figures. v2: minor changes, added reference. v3: removed discussion of extra solutions with no brane interpretation. Discussion of solutions for D3-branes ending on 5-branes is unchanged

null

10.1103/PhysRevD.84.126003

WIS/5/11-MAY-DPPA

hep-th

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

We construct the type IIB supergravity solutions describing D3-branes ending on 5-branes, in the near-horizon limit of the D3-branes. Our solutions are holographically dual to the 4d N=4 SU(N) super-Yang-Mills (SYM) theory on a half-line, at large N and large 't Hooft coupling, with various boundary conditions that preserve half of the supersymmetry. The solutions are limiting cases of the general solutions with the same symmetries constructed in 2007 by D'Hoker, Estes and Gutperle. The classification of our solutions matches exactly with the general classification of boundary conditions for D3-branes ending on 5-branes by Gaiotto and Witten. We use the gravity duals to compute the one-point functions of some chiral operators in the N=4 SYM theory on a half-line at strong coupling, and find that they do not match with the expectation values of the same operators with the same boundary conditions at small 't Hooft coupling. Our solutions may also be interpreted as the gravity duals of 4d N=4 SYM on AdS_4, with various boundary conditions.

[ { "created": "Thu, 9 Jun 2011 17:50:24 GMT", "version": "v1" }, { "created": "Tue, 21 Jun 2011 19:13:20 GMT", "version": "v2" }, { "created": "Wed, 6 Jul 2011 07:11:33 GMT", "version": "v3" } ]

2013-05-29

[ [ "Aharony", "Ofer", "" ], [ "Berdichevsky", "Leon", "" ], [ "Berkooz", "Micha", "" ], [ "Shamir", "Itamar", "" ] ]

We construct the type IIB supergravity solutions describing D3-branes ending on 5-branes, in the near-horizon limit of the D3-branes. Our solutions are holographically dual to the 4d N=4 SU(N) super-Yang-Mills (SYM) theory on a half-line, at large N and large 't Hooft coupling, with various boundary conditions that preserve half of the supersymmetry. The solutions are limiting cases of the general solutions with the same symmetries constructed in 2007 by D'Hoker, Estes and Gutperle. The classification of our solutions matches exactly with the general classification of boundary conditions for D3-branes ending on 5-branes by Gaiotto and Witten. We use the gravity duals to compute the one-point functions of some chiral operators in the N=4 SYM theory on a half-line at strong coupling, and find that they do not match with the expectation values of the same operators with the same boundary conditions at small 't Hooft coupling. Our solutions may also be interpreted as the gravity duals of 4d N=4 SYM on AdS_4, with various boundary conditions.

3.87516

4.024397

4.631243

3.74798

3.822232

3.876844

3.896653

3.798946

3.703347

5.098476

3.735781

3.745239

4.156605

3.746313

3.756338

3.712632

3.801057

3.771275

3.79143

4.048438

3.834721

hep-th/9707205

Katsuyuki Sugiyama

Yuji Sugawara, Katsuyuki Sugiyama

D-brane Analyses for BPS Mass Spectra and U-duality

44 pages, Latex, 9 figures (eps. files), Analyses based on M-theory are added. final version to appear in Nucl. Phys. B

Nucl.Phys. B522 (1998) 158-192

10.1016/S0550-3213(98)00265-X

UT-781, KUCP-0109

hep-th

null

We give a confirmation of U-duality of type II superstring by discussing mass spectrum of the BPS states. We first evaluate the mass spectrum of BPS solitons with one kind of R-R charges. Our analysis is based on the 1-loop effective action of D-brane, which is known as ``Dirac-Born-Infeld (DBI) action'', and the fact that BPS states correspond to the SUSY cycles with minimal volumes. We show the mass formula derived in this manner is completely fitted with that given by U-duality. We further discuss the cases of BPS solitons possessing several kinds of R-R charges. These are cases of ``intersecting D-branes'', which cannot be described by simple DBI actions. We claim that, in these cases, higher loop corrections should be incorporated as binding energies between the branes. It is remarkable that the summation of the contributions from all loops reproduces the correct mass formula predicted by U-duality.

[ { "created": "Thu, 24 Jul 1997 15:10:59 GMT", "version": "v1" }, { "created": "Mon, 6 Apr 1998 08:52:40 GMT", "version": "v2" } ]

2009-10-30

[ [ "Sugawara", "Yuji", "" ], [ "Sugiyama", "Katsuyuki", "" ] ]

We give a confirmation of U-duality of type II superstring by discussing mass spectrum of the BPS states. We first evaluate the mass spectrum of BPS solitons with one kind of R-R charges. Our analysis is based on the 1-loop effective action of D-brane, which is known as ``Dirac-Born-Infeld (DBI) action'', and the fact that BPS states correspond to the SUSY cycles with minimal volumes. We show the mass formula derived in this manner is completely fitted with that given by U-duality. We further discuss the cases of BPS solitons possessing several kinds of R-R charges. These are cases of ``intersecting D-branes'', which cannot be described by simple DBI actions. We claim that, in these cases, higher loop corrections should be incorporated as binding energies between the branes. It is remarkable that the summation of the contributions from all loops reproduces the correct mass formula predicted by U-duality.

7.668022

7.552101

7.840666

7.387444

7.607298

7.951875

7.499716

7.453113

7.602346

8.805162

7.435666

7.445915

7.604744

7.431603

7.344556

7.349221

7.416296

7.286769

7.427857

7.682508

7.306631

hep-th/9408112

null

O. A. Soloviev

Conformal Invariance of Interacting WZNW Models

LaTex file, 17 pages, QMW 94-26

null

hep-th

null

We consider two level $k$ WZNW models coupled to each other through a generalized Thirring-like current-current interaction. It is shown that in the large $k$ limit, this interacting system can be presented as a two-parameter perturbation around a nonunitary WZNW model. The perturbation operators are the sigma model kinetic terms with metric related to the Thirring coupling constants. The renormalizability of the perturbed model leads to an algebraic equation for couplings. This equation coincides with the master Virasoro equation. We find that the beta functions of the two-parameter perturbation have nontrivial zeros depending on the Thirring coupling constants. Thus we exhibit that solutions to the master equation provide nontrivial conformal points to the system of two interacting WZNW models.

[ { "created": "Fri, 19 Aug 1994 18:21:43 GMT", "version": "v1" } ]

2007-05-23

[ [ "Soloviev", "O. A.", "" ] ]

We consider two level $k$ WZNW models coupled to each other through a generalized Thirring-like current-current interaction. It is shown that in the large $k$ limit, this interacting system can be presented as a two-parameter perturbation around a nonunitary WZNW model. The perturbation operators are the sigma model kinetic terms with metric related to the Thirring coupling constants. The renormalizability of the perturbed model leads to an algebraic equation for couplings. This equation coincides with the master Virasoro equation. We find that the beta functions of the two-parameter perturbation have nontrivial zeros depending on the Thirring coupling constants. Thus we exhibit that solutions to the master equation provide nontrivial conformal points to the system of two interacting WZNW models.

9.233775

8.038571

9.609743

8.165548

8.54952

8.579611

7.988498

8.251018

8.596386

10.63421

8.326792

8.47913

9.253835

8.521661

8.447758

8.369076

8.299228

8.475486

8.416842

9.521272

8.502797

1001.4509

David Berenstein

David Berenstein, Yuichiro Nakada

The shape of emergent quantum geometry from an N=4 SYM minisuperspace approximation

33 pages, 13 figures

null

hep-th

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

We study numerically various wave functions in a gauged matrix quantum mechanics of six commuting hermitian $N\times N$ matrices. Our simulations span ranges of $N$ up to 10000. This system is a truncated and quenched version of N=4 SYM that serves as a minisuperspace approximation to the full ${\cal N}=4$ SYM system. This setup encodes aspects of the geometry of the AdS dual in terms of joint eigenvalue distributions for the matrices in the large $N$ limit. We analyze the problem of determining geometric measurements from these fluctuating distributions at finite $N$ and how fast they approach to the large N limit. We treat this eigenvalue geometry information as a proxy for geometric calculations in quantum gravity in a description where gravity is an emergent phenomenon. Our results show that care is needed in choosing the observables that measure the geometry: different choices of observables give different answers, have different size fluctuations at finite $N$ and they converge at different rates to the large $N$ limit. We find that some natural choices of observables are pathological at finite $N$ for $N$ sufficiently small. Finally, we note that the approach to the large $N$ limit does not seem to follow the expected convergence in powers of $1/N^2$ from planar diagram arguments. Our evidence suggests that different powers of $N$ appear, but convergence to large $N$ is rather slow so the values of $N$ we have explored might be too small to conclude this unambiguously.

[ { "created": "Mon, 25 Jan 2010 19:08:27 GMT", "version": "v1" }, { "created": "Wed, 3 Mar 2010 23:17:21 GMT", "version": "v2" } ]

2010-03-04

[ [ "Berenstein", "David", "" ], [ "Nakada", "Yuichiro", "" ] ]

We study numerically various wave functions in a gauged matrix quantum mechanics of six commuting hermitian $N\times N$ matrices. Our simulations span ranges of $N$ up to 10000. This system is a truncated and quenched version of N=4 SYM that serves as a minisuperspace approximation to the full ${\cal N}=4$ SYM system. This setup encodes aspects of the geometry of the AdS dual in terms of joint eigenvalue distributions for the matrices in the large $N$ limit. We analyze the problem of determining geometric measurements from these fluctuating distributions at finite $N$ and how fast they approach to the large N limit. We treat this eigenvalue geometry information as a proxy for geometric calculations in quantum gravity in a description where gravity is an emergent phenomenon. Our results show that care is needed in choosing the observables that measure the geometry: different choices of observables give different answers, have different size fluctuations at finite $N$ and they converge at different rates to the large $N$ limit. We find that some natural choices of observables are pathological at finite $N$ for $N$ sufficiently small. Finally, we note that the approach to the large $N$ limit does not seem to follow the expected convergence in powers of $1/N^2$ from planar diagram arguments. Our evidence suggests that different powers of $N$ appear, but convergence to large $N$ is rather slow so the values of $N$ we have explored might be too small to conclude this unambiguously.

8.81288

9.854919

9.891007

8.953879

9.264085

9.993115

9.264202

9.383892

8.848716

9.955396

9.008392

8.782532

9.212579

8.758616

8.988914

9.04079

8.705441

8.770688

8.82921

9.186067

8.758535

2312.06743

Kurt Hinterbichler

James Bonifacio, Kurt Hinterbichler

Fermionic Shift Symmetries in (Anti) de Sitter Space

40 pages, 2 figures

JHEP 2024, 100 (2024)

10.1007/JHEP04(2024)100

null

hep-th

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

We study extended shift symmetries that arise for fermionic fields on anti-de Sitter (AdS) space and de Sitter (dS) space for particular values of the mass relative to the curvature scale. We classify these symmetries for general mixed-symmetry fermionic fields in arbitrary dimension and describe how fields with these symmetries arise as the decoupled longitudinal modes of massive fermions as they approach partially massless points. For the particular case of AdS$_4$, we look for non-trivial Lie superalgebras that can underly interacting theories that involve these fields. We study from this perspective the minimal such theory, the Akulov--Volkov theory on AdS$_4$, which is a non-linear theory of a spin-$1/2$ Goldstino field that describes the spontaneous breaking of ${\cal N}=1$ supersymmetry on AdS$_4$ down to the isometries of AdS$_4$. We show how to write the nonlinear supersymmetry transformation for this theory using the fermionic ambient space formalism. We also study the Lie superalgebras of candidate multi-field examples and rule out the existence of a supersymmetric special galileon on AdS$_4$.

[ { "created": "Mon, 11 Dec 2023 19:00:00 GMT", "version": "v1" } ]

2024-08-15

[ [ "Bonifacio", "James", "" ], [ "Hinterbichler", "Kurt", "" ] ]

We study extended shift symmetries that arise for fermionic fields on anti-de Sitter (AdS) space and de Sitter (dS) space for particular values of the mass relative to the curvature scale. We classify these symmetries for general mixed-symmetry fermionic fields in arbitrary dimension and describe how fields with these symmetries arise as the decoupled longitudinal modes of massive fermions as they approach partially massless points. For the particular case of AdS$_4$, we look for non-trivial Lie superalgebras that can underly interacting theories that involve these fields. We study from this perspective the minimal such theory, the Akulov--Volkov theory on AdS$_4$, which is a non-linear theory of a spin-$1/2$ Goldstino field that describes the spontaneous breaking of ${\cal N}=1$ supersymmetry on AdS$_4$ down to the isometries of AdS$_4$. We show how to write the nonlinear supersymmetry transformation for this theory using the fermionic ambient space formalism. We also study the Lie superalgebras of candidate multi-field examples and rule out the existence of a supersymmetric special galileon on AdS$_4$.

8.606989

7.515724

8.541709

7.439895

7.933964

7.486328

7.568613

7.695697

7.866682

8.981125

7.506926

7.672712

8.093377

7.784502

7.70102

7.619198

7.542989

7.674533

7.719631

8.199108

7.648159

2103.04638

Yang Zhang

Christoph Dlapa, Xiaodi Li, Yang Zhang

Leading singularities in Baikov representation and Feynman integrals with uniform transcendental weight

27 pages, 3 figures

null

10.1007/JHEP07(2021)227

MPP-2021-23, PCFT-21-10, USTC-ICTS-21-10

hep-th hep-ph

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

We provide a leading singularity analysis protocol in Baikov representation, for the searching of Feynman integrals with uniform transcendental (UT) weight. This approach is powered by the recent developments in rationalizing square roots and syzygy computations, and is particularly suitable for finding UT integrals with multiple mass scales. We demonstrate the power of our approach by determining the UT basis for a two-loop diagram with three external mass scales.

[ { "created": "Mon, 8 Mar 2021 09:54:11 GMT", "version": "v1" } ]

2021-08-18

[ [ "Dlapa", "Christoph", "" ], [ "Li", "Xiaodi", "" ], [ "Zhang", "Yang", "" ] ]

We provide a leading singularity analysis protocol in Baikov representation, for the searching of Feynman integrals with uniform transcendental (UT) weight. This approach is powered by the recent developments in rationalizing square roots and syzygy computations, and is particularly suitable for finding UT integrals with multiple mass scales. We demonstrate the power of our approach by determining the UT basis for a two-loop diagram with three external mass scales.

15.45397

11.661278

15.134641

11.670115

14.168488

13.208331

12.207788

12.752654

11.373444

14.49965

13.442801

13.992924

14.127921

13.594196

14.582268

14.507009

13.269404

13.451753

14.130805

13.719502

14.032396

hep-th/9504028

null

A.G.Mirzabekian and G.A.Vilkovisky

The one-loop form factors in the effective action, and production of coherent gravitons from the vacuum

49 pages, latex

Class.Quant.Grav.12:2173-2200,1995

10.1088/0264-9381/12/9/006

DSFT-17/95

hep-th gr-qc

null

We present the solution of the problem of the $1/\Box, \Box \to 0,$ asymptotic terms discovered in the one-loop form factors of the gravitational effective action. Owing to certain constraints among their coefficients, which we establish, these terms cancel in the vacuum stress tensor and do not violate the asymptotic flatness of the expectation value of the metric. They reappear, however, in the Riemann tensor of this metric and stand for a new effect: a radiation of gravitational waves induced by the vacuum stress. This coherent radiation caused by the backreaction adds to the noncoherent radiation caused by the pair creation in the case where the initial state provides the vacuum stress tensor with a quadrupole moment.

[ { "created": "Thu, 6 Apr 1995 11:46:45 GMT", "version": "v1" } ]

2010-04-06

[ [ "Mirzabekian", "A. G.", "" ], [ "Vilkovisky", "G. A.", "" ] ]

We present the solution of the problem of the $1/\Box, \Box \to 0,$ asymptotic terms discovered in the one-loop form factors of the gravitational effective action. Owing to certain constraints among their coefficients, which we establish, these terms cancel in the vacuum stress tensor and do not violate the asymptotic flatness of the expectation value of the metric. They reappear, however, in the Riemann tensor of this metric and stand for a new effect: a radiation of gravitational waves induced by the vacuum stress. This coherent radiation caused by the backreaction adds to the noncoherent radiation caused by the pair creation in the case where the initial state provides the vacuum stress tensor with a quadrupole moment.

14.273435

16.534292

13.676041

14.415843

16.370579

18.036034

16.503967

15.100267

14.614024

15.214737

14.951774

14.545195

13.44311

14.065731

14.258682

14.355033

14.704681

14.025107

14.054119

14.209052

13.987203

hep-th/9307162

null

Z.Lalak, J.Pawelczyk, S.Pokorski

Phase Transitions in NJL and super-NJL models

LATEX, 1 figure available upon request, 11 pages, TUM-TH-157/93, MPI-Ph/93-42, UW-IFT-10/93

null

hep-th hep-ph

null

An elementary method of determination of the character of the hot phase transition in 4d four-fermion NJL-type models is applied to non-supersymmetric and supersymmetric versions of simple NJL model. We find that in the non-susy case the transition is usually of the second order. It is weakly first order only in the region of parameters which correspond to fermion masses comparable to the cut-off. In the supersymmetric case both kinds of phase transitions are possible. For sufficiently strong coupling and sufficiently large susy-breaking scale the transition is always of the first order.

[ { "created": "Tue, 27 Jul 1993 11:44:27 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lalak", "Z.", "" ], [ "Pawelczyk", "J.", "" ], [ "Pokorski", "S.", "" ] ]

An elementary method of determination of the character of the hot phase transition in 4d four-fermion NJL-type models is applied to non-supersymmetric and supersymmetric versions of simple NJL model. We find that in the non-susy case the transition is usually of the second order. It is weakly first order only in the region of parameters which correspond to fermion masses comparable to the cut-off. In the supersymmetric case both kinds of phase transitions are possible. For sufficiently strong coupling and sufficiently large susy-breaking scale the transition is always of the first order.

8.592557

8.7836

7.687731

7.469735

8.183864

8.376498

7.857287

7.394262

7.317656

7.654831

7.769492

7.874466

7.505678

7.699955

7.671737

7.825953

8.010795

7.99122

7.597099

7.809407

7.760331

2210.10712

Boris Pioline

Pierrick Bousseau, Pierre Descombes, Bruno Le Floch, Boris Pioline

BPS Dendroscopy on Local $P^2$

61+23 pages, 32 figures; v3: final version to appear in Comm. Math. Phys

Communications in Mathematical Physics 405, 108 (2024)

10.1007/s00220-024-04938-3

null

hep-th math.AG

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

The spectrum of BPS states in type IIA string theory compactified on a Calabi-Yau threefold famously jumps across codimension-one walls in complexified K\"ahler moduli space, leading to an intricate chamber structure. The Split Attractor Flow Conjecture posits that the BPS index $\Omega_z(\gamma)$ for given charge $\gamma$ and moduli $z$ can be reconstructed from the attractor indices $\Omega_*(\gamma_i)$ counting BPS states of charge $\gamma_i$ in their respective attractor chamber, by summing over a finite set of decorated rooted flow trees known as attractor flow trees. If correct, this provides a classification (or dendroscopy) of the BPS spectrum into different topologies of nested BPS bound states, each having a simple chamber structure. Here we investigate this conjecture for the simplest, albeit non-compact, Calabi-Yau threefold, namely the canonical bundle over the projective plane $P^2$. Since the K\"ahler moduli space has complex dimension one and the attractor flow preserves the argument of the central charge, attractor flow trees coincide with scattering sequences of rays in a two-dimensional slice of the scattering diagram in the space of stability conditions on the derived category of compactly supported coherent sheaves on $K_{P^2}$. We combine previous results on the scattering diagram of $K_{P^2}$ in the large volume slice with new results near the orbifold point $\mathbb{C}^3/\mathbb{Z}_3$, and prove that the Split Attractor Flow Conjecture holds true on the physical slice of $\Pi$-stability conditions. In particular, while there is an infinite set of initial rays related by the group $\Gamma_1(3)$ of auto-equivalences, only a finite number of possible decompositions $\gamma=\sum_i\gamma_i$ contribute to the index $\Omega_z(\gamma)$ for any $\gamma$ and $z$, with constituents $\gamma_i$ related by spectral flow to the fractional branes at the orbifold point.

[ { "created": "Wed, 19 Oct 2022 16:44:26 GMT", "version": "v1" }, { "created": "Fri, 27 Jan 2023 07:30:44 GMT", "version": "v2" }, { "created": "Thu, 28 Mar 2024 04:21:09 GMT", "version": "v3" } ]

2024-05-14

[ [ "Bousseau", "Pierrick", "" ], [ "Descombes", "Pierre", "" ], [ "Floch", "Bruno Le", "" ], [ "Pioline", "Boris", "" ] ]

The spectrum of BPS states in type IIA string theory compactified on a Calabi-Yau threefold famously jumps across codimension-one walls in complexified K\"ahler moduli space, leading to an intricate chamber structure. The Split Attractor Flow Conjecture posits that the BPS index $\Omega_z(\gamma)$ for given charge $\gamma$ and moduli $z$ can be reconstructed from the attractor indices $\Omega_*(\gamma_i)$ counting BPS states of charge $\gamma_i$ in their respective attractor chamber, by summing over a finite set of decorated rooted flow trees known as attractor flow trees. If correct, this provides a classification (or dendroscopy) of the BPS spectrum into different topologies of nested BPS bound states, each having a simple chamber structure. Here we investigate this conjecture for the simplest, albeit non-compact, Calabi-Yau threefold, namely the canonical bundle over the projective plane $P^2$. Since the K\"ahler moduli space has complex dimension one and the attractor flow preserves the argument of the central charge, attractor flow trees coincide with scattering sequences of rays in a two-dimensional slice of the scattering diagram in the space of stability conditions on the derived category of compactly supported coherent sheaves on $K_{P^2}$. We combine previous results on the scattering diagram of $K_{P^2}$ in the large volume slice with new results near the orbifold point $\mathbb{C}^3/\mathbb{Z}_3$, and prove that the Split Attractor Flow Conjecture holds true on the physical slice of $\Pi$-stability conditions. In particular, while there is an infinite set of initial rays related by the group $\Gamma_1(3)$ of auto-equivalences, only a finite number of possible decompositions $\gamma=\sum_i\gamma_i$ contribute to the index $\Omega_z(\gamma)$ for any $\gamma$ and $z$, with constituents $\gamma_i$ related by spectral flow to the fractional branes at the orbifold point.

6.913285

7.792765

8.625204

7.132672

8.101101

8.297493

8.041483

7.12869

7.346733

8.458146

7.063463

6.923447

7.265973

6.770243

6.878215

7.030142

6.969083

6.892408

6.815324

7.160715

6.766663

hep-th/0010185

Dzhunushaliev Vladimir

V. Dzhunushaliev

Nonperturbative Quantization of the Cylindrically Symmetric Strongly Oscillating Field

grammar errors are corrected

Phys.Lett. B498 (2001) 218-222

10.1016/S0370-2693(00)01394-0

null

hep-th cond-mat hep-ph

null

A recent investigation of SU(2) Yang-Mills theory found several classical solutions with bad behaviour at infinity : one of the potential components oscillated and another tended to infinity. In this paper we apply an idea due to Heisenberg about the quantization of strongly interacting nonlinear fields to these classical singular solutions. We find that this quantization procedure eliminates the bad long distance features while retaining the interesting short distance aspects of these solutions.

[ { "created": "Sun, 22 Oct 2000 05:34:24 GMT", "version": "v1" }, { "created": "Mon, 20 Nov 2000 13:17:46 GMT", "version": "v2" } ]

2009-10-31

[ [ "Dzhunushaliev", "V.", "" ] ]

A recent investigation of SU(2) Yang-Mills theory found several classical solutions with bad behaviour at infinity : one of the potential components oscillated and another tended to infinity. In this paper we apply an idea due to Heisenberg about the quantization of strongly interacting nonlinear fields to these classical singular solutions. We find that this quantization procedure eliminates the bad long distance features while retaining the interesting short distance aspects of these solutions.

15.941506

14.415031

14.556553

12.709641

14.673884

12.637877

13.227617

12.527446

13.836286

13.966466

13.763298

13.638187

14.608572

13.681999

13.829278

14.370187

14.066566

13.654481

14.216811

14.210485

14.128658

1706.01001

Adriano Lana Cherchiglia

J. S. Porto, A. R. Vieira, A. L. Cherchiglia, Marcos Sampaio, and Brigitte Hiller

On the Bose symmetry and the left- and right-chiral anomalies

References added, comply with published version

Eur. Phys. J. C (2018) 78: 160

10.1140/epjc/s10052-018-5648-9

null

hep-th

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

It is generally assumed that in order to preserve Bose symmetry in the left- (or right-chiral) current it is necessary to equally distribute the chiral anomaly between the vectorial and the axial Ward identities, requiring the use of counterterms to restore consistency. In this work, we show how to calculate the quantum breaking of the left- and right-chiral currents in a way that allows to preserve Bose symmetry independently of the chiral anomaly, using the Implicit Regularization method.

[ { "created": "Sat, 3 Jun 2017 20:42:55 GMT", "version": "v1" }, { "created": "Sun, 25 Feb 2018 22:17:46 GMT", "version": "v2" } ]

2018-02-27

[ [ "Porto", "J. S.", "" ], [ "Vieira", "A. R.", "" ], [ "Cherchiglia", "A. L.", "" ], [ "Sampaio", "Marcos", "" ], [ "Hiller", "Brigitte", "" ] ]

It is generally assumed that in order to preserve Bose symmetry in the left- (or right-chiral) current it is necessary to equally distribute the chiral anomaly between the vectorial and the axial Ward identities, requiring the use of counterterms to restore consistency. In this work, we show how to calculate the quantum breaking of the left- and right-chiral currents in a way that allows to preserve Bose symmetry independently of the chiral anomaly, using the Implicit Regularization method.

12.663127

11.948183

11.797254

12.034242

12.768761

13.079999

12.726997

11.703609

12.219418

13.812449

11.612963

11.943088

11.934688

11.457447

11.347097

11.88885

11.414472

12.063462

11.470227

12.512486

11.485703

hep-th/9604017

Antonio Gonzalez-Arroyo

A. Gonzalez-Arroyo and A. Montero

Do classical configurations produce Confinement?

Uuencoded, Z-compressed and tarred file of the TeX file submit.tex and PostScript files Stnt.eps and Stst.eps. 11 pages of text and two figures

Phys.Lett.B387:823-828,1996

10.1016/0370-2693(96)01107-0

FTUAM/96-13

hep-th hep-lat

null

We show that certain classical SU(2) pure gauge configurations give rise to a non-zero string tension. We then investigate cooled configurations generated by Monte Carlo simulations on the lattice and find similar properties. We infer evidence in favour of a classical model of Confinement.

[ { "created": "Wed, 3 Apr 1996 13:42:36 GMT", "version": "v1" } ]

2008-11-26

[ [ "Gonzalez-Arroyo", "A.", "" ], [ "Montero", "A.", "" ] ]

We show that certain classical SU(2) pure gauge configurations give rise to a non-zero string tension. We then investigate cooled configurations generated by Monte Carlo simulations on the lattice and find similar properties. We infer evidence in favour of a classical model of Confinement.

22.102501

18.568478

18.601736

17.165543

19.934196

16.441681

16.961927

18.617056

16.339615

18.203909

18.125639

17.208973

18.745455

18.22336

18.008604

18.587692

17.618444

18.283482

17.975513

19.229017

18.231428

hep-th/0405058

David Kutasov

D. Kutasov

D-Brane Dynamics Near NS5-Branes

22 pages, harvmac; added references

null

EFI-04-16

hep-th

null

We use the Dirac-Born-Infeld action to study the real time dynamics of a $Dp$-brane propagating in the vicinity of $NS5$-branes. This problem is closely related to tachyon condensation on an unstable D-brane, with the role of the tachyon played by the radial mode on the D-brane. As the D-brane approaches the fivebranes, its equation of state approaches that of a pressureless fluid. The pressure goes to zero at late times like $\exp(-\alpha t)$; $\alpha$ is a function of the number of fivebranes and of the angular momentum of the D-brane. For unstable D-branes a similar equation of state is taken to signal the decay of the D-brane into closed string radiation. We propose that in our case the D-brane decays into modes propagating in the fivebrane throat, and show that this is consistent with spacetime expectations. We also argue that for radial motions of the D-brane deep inside the throat, the rolling process is described by an exactly solvable worldsheet conformal field theory.

[ { "created": "Fri, 7 May 2004 15:00:45 GMT", "version": "v1" }, { "created": "Sun, 9 May 2004 12:45:49 GMT", "version": "v2" }, { "created": "Wed, 19 May 2004 20:03:35 GMT", "version": "v3" } ]

2007-05-23

[ [ "Kutasov", "D.", "" ] ]

We use the Dirac-Born-Infeld action to study the real time dynamics of a $Dp$-brane propagating in the vicinity of $NS5$-branes. This problem is closely related to tachyon condensation on an unstable D-brane, with the role of the tachyon played by the radial mode on the D-brane. As the D-brane approaches the fivebranes, its equation of state approaches that of a pressureless fluid. The pressure goes to zero at late times like $\exp(-\alpha t)$; $\alpha$ is a function of the number of fivebranes and of the angular momentum of the D-brane. For unstable D-branes a similar equation of state is taken to signal the decay of the D-brane into closed string radiation. We propose that in our case the D-brane decays into modes propagating in the fivebrane throat, and show that this is consistent with spacetime expectations. We also argue that for radial motions of the D-brane deep inside the throat, the rolling process is described by an exactly solvable worldsheet conformal field theory.

5.81059

4.956306

6.528019

5.151865

4.865977

5.337475

5.152723

5.385582

5.312211

6.754008

5.129275

5.454686

5.834691

5.481984

5.477087

5.453029

5.441967

5.503488

5.408709

5.802144

5.441141

0903.1141

Haitao Liu

Dimension of Conformal Blocks in Five Dimensional Kaehler-Chern-Simons Theory

17 pages, typos corrected and minor corrections; the version to appear in Journal of Mathematical Physics

J.Math.Phys.51:043513,2010

10.1063/1.3359006

null

hep-th math-ph math.MP

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

We briefly review the Kaehler-Chern-Simon theory on 5-manifolds which are trivial circle bundles over 4-dimensional Kaehler manifolds and present a detailed calculation of the path integral, using the method of Blau and Thompson.

[ { "created": "Fri, 6 Mar 2009 02:00:23 GMT", "version": "v1" }, { "created": "Thu, 4 Jun 2009 02:54:25 GMT", "version": "v2" }, { "created": "Fri, 7 Aug 2009 23:03:29 GMT", "version": "v3" }, { "created": "Sun, 7 Mar 2010 20:02:55 GMT", "version": "v4" } ]

2014-11-18

[ [ "Liu", "Haitao", "" ] ]

We briefly review the Kaehler-Chern-Simon theory on 5-manifolds which are trivial circle bundles over 4-dimensional Kaehler manifolds and present a detailed calculation of the path integral, using the method of Blau and Thompson.

10.217727

8.510338

11.23338

8.23667

7.824323

8.953276

8.131616

7.931822

8.166928

10.82275

8.332155

9.134895

10.334909

8.728016

8.987997

8.781687

8.154171

8.901359

9.299203

10.385259

9.220028

hep-th/0305203

Andrei Ivanov

M. Faber, A. N. Ivanov

Dynamical breaking of conformal symmetry in the massless Thirring model

9 pages, Latex, no figures

null

hep-th

null

We discuss conformal invariance of the massless Thirring model. We show that conformal symmetry of the massless Thirring model is dynamically broken due to the constant of motion caused by the equations of motion. This confirms the existence of the chirally broken phase in the massless Thirring model (Eur. Phys. J. C20, 723 (2001), which is accompanied by the appearance of massless (pseudo)scalar Goldstone bosons (Eur. Phys. J. C24, 653 (2002), hep-th/0210104 and hep-th/0305174).

[ { "created": "Thu, 22 May 2003 15:57:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Faber", "M.", "" ], [ "Ivanov", "A. N.", "" ] ]

We discuss conformal invariance of the massless Thirring model. We show that conformal symmetry of the massless Thirring model is dynamically broken due to the constant of motion caused by the equations of motion. This confirms the existence of the chirally broken phase in the massless Thirring model (Eur. Phys. J. C20, 723 (2001), which is accompanied by the appearance of massless (pseudo)scalar Goldstone bosons (Eur. Phys. J. C24, 653 (2002), hep-th/0210104 and hep-th/0305174).

6.178544

4.847575

6.506675

5.401678

5.894535

5.834338

5.44132

5.651221

5.486371

7.567476

5.087661

5.56157

6.265274

5.958302

5.964492

5.885946

5.956642

5.932189

5.9677

6.013414

5.796408

hep-th/0205012

Stefan Groot Nibbelink

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

Instabilities of bulk fields and anomalies on orbifolds

29 pages, LaTeX, with figures

Nucl.Phys.B640:171-201,2002

10.1016/S0550-3213(02)00564-3

null

hep-th hep-ph

null

Bulk matter modes of higher dimensional models generically become unstable in the presence of additional matter multiplets at the branes. This quantum instability is driven by localized Fayet-Iliopoulos terms that attract the bulk zero modes towards the boundary branes. We study this mechanism in the framework of a 5 dimensional S^1/Z_2 orbifold and give conditions for the various possibilities of localization of (chiral) zero modes. This mechanism is quite relevant for realistic model building, as the standard model contains U(1) hypercharge with potentially localized FI-terms. The analysis is closely related to localized anomalies in higher dimensional gauge theories. Five dimensional gauge invariance of the effective action determines the anomaly constraints and fixes the normalization of Chern-Simons terms. The localization of the bulk modes does not effect the anomaly cancellation globally, but the additional heavy Kaluza-Klein modes of the bulk fields may cancel the Chern-Simons terms. We discuss also the potential appearance of the parity anomaly that might render the construction of some orbifold models inconsistent.

[ { "created": "Wed, 1 May 2002 16:47:49 GMT", "version": "v1" } ]

2008-11-26

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

Bulk matter modes of higher dimensional models generically become unstable in the presence of additional matter multiplets at the branes. This quantum instability is driven by localized Fayet-Iliopoulos terms that attract the bulk zero modes towards the boundary branes. We study this mechanism in the framework of a 5 dimensional S^1/Z_2 orbifold and give conditions for the various possibilities of localization of (chiral) zero modes. This mechanism is quite relevant for realistic model building, as the standard model contains U(1) hypercharge with potentially localized FI-terms. The analysis is closely related to localized anomalies in higher dimensional gauge theories. Five dimensional gauge invariance of the effective action determines the anomaly constraints and fixes the normalization of Chern-Simons terms. The localization of the bulk modes does not effect the anomaly cancellation globally, but the additional heavy Kaluza-Klein modes of the bulk fields may cancel the Chern-Simons terms. We discuss also the potential appearance of the parity anomaly that might render the construction of some orbifold models inconsistent.

13.51952

12.749858

13.20909

12.42524

13.00677

13.038756

12.612597

13.123262

11.987553

13.049357

12.365287

12.655368

12.32663

12.292188

12.540146

12.477274

12.12608

12.910576

12.426478

12.702347

12.521474

1105.3202

Tameem Albash

Tameem Albash, Clifford V. Johnson

Thermal Dynamics of Quarks and Mesons in N=2* Yang-Mills Theory

17 pages, 6 figures

JHEP 1107:063,2011

10.1007/JHEP07(2011)063

null

hep-th

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

We study the dynamics of quenched fundamental matter in $\mathcal{N}=2^\ast$ supersymmetric large $N_c$ $SU(N_c)$ Yang-Mills theory, extending our earlier work to finite temperature. We use probe D7-branes in the holographically dual thermalized generalization of the $\mathcal{N}=2^\ast$ Pilch-Warner gravitational background found by Buchel and Liu. Such a system provides an opportunity to study how key features of the dynamics are affected by being in a non-conformal setting where there is an intrinsic scale, set here by the mass, $m_H$, of a hypermultiplet. Such studies are motivated by connections to experimental studies of the quark-gluon plasma at RHIC and LHC, where the microscopic theory of the constituents, QCD, has a scale, $\Lambda_{\rm QCD}$. We show that the binding energy of mesons in the $\mathcal{N}=2^\ast$ theory is increased in the presence of the scale $m_H$, and that subsequently the meson-melting temperature is higher than for the conformal case.

[ { "created": "Mon, 16 May 2011 20:01:42 GMT", "version": "v1" } ]

2011-08-04

[ [ "Albash", "Tameem", "" ], [ "Johnson", "Clifford V.", "" ] ]

We study the dynamics of quenched fundamental matter in $\mathcal{N}=2^\ast$ supersymmetric large $N_c$ $SU(N_c)$ Yang-Mills theory, extending our earlier work to finite temperature. We use probe D7-branes in the holographically dual thermalized generalization of the $\mathcal{N}=2^\ast$ Pilch-Warner gravitational background found by Buchel and Liu. Such a system provides an opportunity to study how key features of the dynamics are affected by being in a non-conformal setting where there is an intrinsic scale, set here by the mass, $m_H$, of a hypermultiplet. Such studies are motivated by connections to experimental studies of the quark-gluon plasma at RHIC and LHC, where the microscopic theory of the constituents, QCD, has a scale, $\Lambda_{\rm QCD}$. We show that the binding energy of mesons in the $\mathcal{N}=2^\ast$ theory is increased in the presence of the scale $m_H$, and that subsequently the meson-melting temperature is higher than for the conformal case.

6.422347

5.958852

7.070648

6.173911

6.252511

6.119281

6.517578

6.094683

6.546196

7.763974

6.060911

6.160804

6.5473

6.177536

6.114446

6.235158

6.122829

6.195771

6.163817

6.288774

6.168771

hep-th/0403216

Paolo Di Vecchia pdv

P. Di Vecchia

N=1 super Yang-Mills from D branes

13 pages, latex

null

NORDITA-2004-20

hep-th

null

We use fractional and wrapped branes to describe perturbative and non-perturbative properties of N=1 super Yang-Mills living on their world-volume. (Talk given at the 1st Nordstrom Symposium, Helsinki, August 2003.)

[ { "created": "Mon, 22 Mar 2004 14:22:27 GMT", "version": "v1" } ]

2007-05-23

[ [ "Di Vecchia", "P.", "" ] ]

We use fractional and wrapped branes to describe perturbative and non-perturbative properties of N=1 super Yang-Mills living on their world-volume. (Talk given at the 1st Nordstrom Symposium, Helsinki, August 2003.)

16.163912

10.101025

13.32937

10.39741

12.435085

11.831511

8.91773

8.849264

11.503215

16.396856

10.24217

11.518125

13.793876

11.991229

11.934402

12.584123

11.708162

11.40131

11.500561

14.101336

12.622973

hep-th/0603144

Saharian

A.A. Saharian, A.S. Tarloyan

Scalar Casimir densities for cylindrically symmetric Robin boundaries

22 pages, 5 figures

J.Phys.A39:13371-13392,2006; J.Phys.A39:13371,2006

10.1088/0305-4470/39/42/011

null

hep-th quant-ph

null

Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated for a massive scalar field with general curvature coupling parameter in the region between two coaxial cylindrical boundaries. It is assumed that the field obeys general Robin boundary conditions on bounding surfaces. The application of a variant of the generalized Abel-Plana formula allows to extract from the expectation values the contribution from single shells and to present the interference part in terms of exponentially convergent integrals. The vacuum forces acting on the boundaries are presented as the sum of self-action and interaction terms. The first one contains well-known surface divergences and needs a further renormalization. The interaction forces between the cylindrical boundaries are finite and are attractive for special cases of Dirichlet and Neumann scalars. For the general Robin case the interaction forces can be both attractive or repulsive depending on the coefficients in the boundary conditions. The total Casimir energy is evaluated by using the zeta function regularization technique. It is shown that it contains a part which is located on bounding surfaces. The formula for the interference part of the surface energy is derived and the energy balance is discussed.

[ { "created": "Mon, 20 Mar 2006 14:03:07 GMT", "version": "v1" }, { "created": "Wed, 3 May 2006 18:42:46 GMT", "version": "v2" } ]

2009-11-11

[ [ "Saharian", "A. A.", "" ], [ "Tarloyan", "A. S.", "" ] ]

Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated for a massive scalar field with general curvature coupling parameter in the region between two coaxial cylindrical boundaries. It is assumed that the field obeys general Robin boundary conditions on bounding surfaces. The application of a variant of the generalized Abel-Plana formula allows to extract from the expectation values the contribution from single shells and to present the interference part in terms of exponentially convergent integrals. The vacuum forces acting on the boundaries are presented as the sum of self-action and interaction terms. The first one contains well-known surface divergences and needs a further renormalization. The interaction forces between the cylindrical boundaries are finite and are attractive for special cases of Dirichlet and Neumann scalars. For the general Robin case the interaction forces can be both attractive or repulsive depending on the coefficients in the boundary conditions. The total Casimir energy is evaluated by using the zeta function regularization technique. It is shown that it contains a part which is located on bounding surfaces. The formula for the interference part of the surface energy is derived and the energy balance is discussed.

7.272427

3.207396

8.005766

4.020999

3.727876

3.550354

3.583798

3.768305

4.033535

8.444512

3.961031

5.241806

7.220915

6.121892

5.804049

5.392405

5.192531

5.556808

5.774891

7.33362

5.720955

1406.6661

Vladimir Belavin

A.A. Belavin and V.A. Belavin

Frobenius manifolds, Integrable Hierarchies and Minimal Liouville Gravity

17 pages; v2: typos removed, some comments added, minor corrections

null

10.1007/JHEP09(2014)151

FIAN-TD-2014-10

hep-th math-ph math.MP

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

We use the connection between the Frobrenius manifold and the Douglas string equation to further investigate Minimal Liouville gravity. We search a solution of the Douglas string equation and simultaneously a proper transformation from the KdV to the Liouville frame which ensure the fulfilment of the conformal and fusion selection rules. We find that the desired solution of the string equation has explicit and simple form in the flat coordinates on the Frobenious manifold in the general case of (p,q) Minimal Liouville gravity.

[ { "created": "Wed, 25 Jun 2014 18:47:53 GMT", "version": "v1" }, { "created": "Mon, 13 Oct 2014 16:33:05 GMT", "version": "v2" } ]

2015-06-22

[ [ "Belavin", "A. A.", "" ], [ "Belavin", "V. A.", "" ] ]

We use the connection between the Frobrenius manifold and the Douglas string equation to further investigate Minimal Liouville gravity. We search a solution of the Douglas string equation and simultaneously a proper transformation from the KdV to the Liouville frame which ensure the fulfilment of the conformal and fusion selection rules. We find that the desired solution of the string equation has explicit and simple form in the flat coordinates on the Frobenious manifold in the general case of (p,q) Minimal Liouville gravity.

14.533353

11.501353

14.760664

11.929117

13.507032

12.632349

13.08868

11.875196

11.903153

15.577156

12.738782

12.323591

14.271492

12.702552

12.745782

12.359969

12.215249

12.374429

12.461989

14.076472

12.645537

2109.14238

Victor Chernyak

Victor L. Chernyak

Phase transitions between confinement and higgs phases in ${\cal N}=1\,\, SU(N_c)$ SQCD with $1\leq N_F\leq N_c-1$ quark flavors

13 pages. Most important: added at page 9 the critique of the QCD-like model with scalar quarks used in the paper of Fradkin and Shenker [10]. Besides, there are small improvements in the text and corrected some typos. Results unchanged

null

hep-th hep-lat hep-ph

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

Considered is 4-dimensional ${\cal N}=1$ supersymmetric $SU(N_c)$ QCD (SQCD) with $1\leq N_F\leq N_c-1$ equal mass quark flavors in the fundamental representation. The gauge invariant order parameter $\rho$ is introduced distinguishing confinement (with $\rho=0$) and higgs (with $\rho\neq 0$) phases. Using a number of independent arguments for different variants of transition between the confinement and higgs regimes, it is shown that transitions between these regimes are not crossovers but the phase transitions. Besides, it is argued that these phase transitions are of the first order. This is opposite to the conclusion of the paper of E. Fradkin and S.H. Shenker [10] that the transition between the confinement and higgs regimes is the crossover, not the phase transition. And although the theories considered in this paper and in [10] are different, an experience shows that there is a widely spread opinion that the conclusion of [10] is applicable to all QCD-like theories: both lattice and continuum, both not supersymmetric and supersymmetric. This opinion is in contradiction with the results of this paper.

[ { "created": "Wed, 29 Sep 2021 07:25:48 GMT", "version": "v1" }, { "created": "Tue, 23 Nov 2021 12:27:26 GMT", "version": "v2" }, { "created": "Tue, 24 May 2022 13:15:27 GMT", "version": "v3" }, { "created": "Wed, 20 Jul 2022 11:58:17 GMT", "version": "v4" }, { "created": "Thu, 30 Mar 2023 07:53:44 GMT", "version": "v5" }, { "created": "Thu, 1 Jun 2023 07:27:38 GMT", "version": "v6" } ]

2023-09-14

[ [ "Chernyak", "Victor L.", "" ] ]

Considered is 4-dimensional ${\cal N}=1$ supersymmetric $SU(N_c)$ QCD (SQCD) with $1\leq N_F\leq N_c-1$ equal mass quark flavors in the fundamental representation. The gauge invariant order parameter $\rho$ is introduced distinguishing confinement (with $\rho=0$) and higgs (with $\rho\neq 0$) phases. Using a number of independent arguments for different variants of transition between the confinement and higgs regimes, it is shown that transitions between these regimes are not crossovers but the phase transitions. Besides, it is argued that these phase transitions are of the first order. This is opposite to the conclusion of the paper of E. Fradkin and S.H. Shenker [10] that the transition between the confinement and higgs regimes is the crossover, not the phase transition. And although the theories considered in this paper and in [10] are different, an experience shows that there is a widely spread opinion that the conclusion of [10] is applicable to all QCD-like theories: both lattice and continuum, both not supersymmetric and supersymmetric. This opinion is in contradiction with the results of this paper.

6.316154

5.816645

6.65882

5.737961

6.312557

6.177246

6.155558

5.737107

5.650172

6.361909

5.991124

5.771502

6.014933

5.646944

5.822281

5.902576

5.929708

5.805868

5.759046

5.985251

5.994833

2302.11630

Tomas Ortin

Romina Ballesteros, Carmen G\'omez-Fayr\'en, Tom\'as Ort\'in and Matteo Zatti

On scalar charges and black-hole thermodynamics

Misprints corrected and a few comments and references added. Version to be published in JHEP

null

10.1007/JHEP05(2023)158

IFT-UAM/CSIC-23-018

hep-th gr-qc

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

We revisit the first law of black hole thermodynamics in 4-dimensional theories containing scalar and Abelian vector fields coupled to gravity using Wald's formalism and a new definition of scalar charge as an integral over a 2-surface which satisfies a Gauss law in stationary black-hole spacetimes. We focus on ungauged supergravity-inspired theories with symmetric sigma models whose symmetries generate electric-magnetic dualities leaving invariant their equations of motion. Our manifestly duality-invariant form of the first law is compatible with the one obtained by of Gibbons, Kallosh and Kol. We also obtain the general expression for the scalar charges of a stationary black hole in terms of the other physical parameters of the solution and the position of the horizon, generalizing the expression obtained by Pacilio for dilaton black oles.

[ { "created": "Wed, 22 Feb 2023 20:12:40 GMT", "version": "v1" }, { "created": "Tue, 16 May 2023 10:47:45 GMT", "version": "v2" } ]

2023-06-07

[ [ "Ballesteros", "Romina", "" ], [ "Gómez-Fayrén", "Carmen", "" ], [ "Ortín", "Tomás", "" ], [ "Zatti", "Matteo", "" ] ]

We revisit the first law of black hole thermodynamics in 4-dimensional theories containing scalar and Abelian vector fields coupled to gravity using Wald's formalism and a new definition of scalar charge as an integral over a 2-surface which satisfies a Gauss law in stationary black-hole spacetimes. We focus on ungauged supergravity-inspired theories with symmetric sigma models whose symmetries generate electric-magnetic dualities leaving invariant their equations of motion. Our manifestly duality-invariant form of the first law is compatible with the one obtained by of Gibbons, Kallosh and Kol. We also obtain the general expression for the scalar charges of a stationary black hole in terms of the other physical parameters of the solution and the position of the horizon, generalizing the expression obtained by Pacilio for dilaton black oles.

11.362288

12.960177

12.965746

11.360464

12.781123

12.671623

12.201196

11.366661

11.229391

13.760453

12.134093

11.802114

11.220765

11.313987

11.286988

11.284241

11.844192

11.284266

11.624736

11.24708

11.279977

1906.11226

Alfredo Perez

Emilio Ojeda and Alfredo P\'erez

Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies

23 pages. Minor changes. Matches published version in JHEP

null

10.1007/JHEP08(2019)079

CECS-PHY-19/02

hep-th gr-qc

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

We present a new set of boundary conditions for General Relativity on AdS$_3$, where the dynamics of the boundary degrees of freedom are described by two independent left and right members of the Gardner hierarchy of integrable equations, also known as the "mixed KdV-mKdV" hierarchy. This integrable system has the very special property that simultaneously combines both, the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) hierarchies in a single integrable structure. This relationship between gravitation in three-dimensional spacetimes and two-dimensional integrable systems is based on an extension of the recently introduced "soft hairy boundary conditions" on AdS$_3$, where the chemical potentials are now allowed to depend locally on the dynamical fields and their spatial derivatives. The complete integrable structure of the Gardner system, i.e., the phase space, the Poisson brackets and the infinite number of commuting conserved charges, are directly obtained from the asymptotic analysis and the conserved surface integrals in the gravitational theory. These boundary conditions have the particular property that they can also be interpreted as being defined in the near horizon region of spacetimes with event horizons. Black hole solutions are then naturally accommodated within our boundary conditions, and are described by static configurations associated to the corresponding member of the Gardner hierarchy. The thermodynamic properties of the black holes in the ensembles defined by our boundary conditions are also discussed. Finally, we show that our results can be naturally extended to the case of a vanishing cosmological constant, and the integrable system turns out to be precisely the same as in the case of AdS$_3$.

[ { "created": "Wed, 26 Jun 2019 17:39:15 GMT", "version": "v1" }, { "created": "Thu, 4 Jul 2019 16:59:16 GMT", "version": "v2" }, { "created": "Tue, 13 Aug 2019 15:45:06 GMT", "version": "v3" } ]

2019-09-04

[ [ "Ojeda", "Emilio", "" ], [ "Pérez", "Alfredo", "" ] ]

We present a new set of boundary conditions for General Relativity on AdS$_3$, where the dynamics of the boundary degrees of freedom are described by two independent left and right members of the Gardner hierarchy of integrable equations, also known as the "mixed KdV-mKdV" hierarchy. This integrable system has the very special property that simultaneously combines both, the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) hierarchies in a single integrable structure. This relationship between gravitation in three-dimensional spacetimes and two-dimensional integrable systems is based on an extension of the recently introduced "soft hairy boundary conditions" on AdS$_3$, where the chemical potentials are now allowed to depend locally on the dynamical fields and their spatial derivatives. The complete integrable structure of the Gardner system, i.e., the phase space, the Poisson brackets and the infinite number of commuting conserved charges, are directly obtained from the asymptotic analysis and the conserved surface integrals in the gravitational theory. These boundary conditions have the particular property that they can also be interpreted as being defined in the near horizon region of spacetimes with event horizons. Black hole solutions are then naturally accommodated within our boundary conditions, and are described by static configurations associated to the corresponding member of the Gardner hierarchy. The thermodynamic properties of the black holes in the ensembles defined by our boundary conditions are also discussed. Finally, we show that our results can be naturally extended to the case of a vanishing cosmological constant, and the integrable system turns out to be precisely the same as in the case of AdS$_3$.

6.464547

5.876971

6.784127

6.11864

5.815469

5.980297

5.902526

6.056701

5.820501

7.505625

6.085412

6.111118

6.450675

6.171056

6.085651

6.298192

6.213874

6.140594

6.150253

6.456192

6.382646

hep-th/0610067

Dongsu Bak

Dongsu Bak, Sang-Ok Hahn, Joohan Lee, and Phillial Oh

Supersymmetric Q-Lumps in the Grassmannian nonlinear sigma models

11 pages, References added, Small corrections and a reference added

Phys.Rev.D75:025004,2007

10.1103/PhysRevD.75.025004

UOSPT 06004

hep-th

null

We construct the N=2 supersymmetric Grassmannian nonlinear sigma model for the massless case and extend it to massive N=2 model by adding an appropriate superpotential. We then study their BPS equations leading to supersymmetric Q-lumps carrying both topological and Noether charges. These solutions are shown to be always time dependent even sometimes involving multiple frequencies. Thus we illustrate explicitly that the time dependence is consistent with remaining supersymmetries of solitons.

[ { "created": "Thu, 5 Oct 2006 19:13:10 GMT", "version": "v1" }, { "created": "Thu, 12 Oct 2006 17:55:09 GMT", "version": "v2" }, { "created": "Thu, 14 Dec 2006 19:33:08 GMT", "version": "v3" } ]

2008-11-26

[ [ "Bak", "Dongsu", "" ], [ "Hahn", "Sang-Ok", "" ], [ "Lee", "Joohan", "" ], [ "Oh", "Phillial", "" ] ]

We construct the N=2 supersymmetric Grassmannian nonlinear sigma model for the massless case and extend it to massive N=2 model by adding an appropriate superpotential. We then study their BPS equations leading to supersymmetric Q-lumps carrying both topological and Noether charges. These solutions are shown to be always time dependent even sometimes involving multiple frequencies. Thus we illustrate explicitly that the time dependence is consistent with remaining supersymmetries of solitons.

17.122335

16.738674

18.675446

14.301445

13.29766

14.872231

13.975737

14.879424

14.77986

21.311666

14.118782

15.458168

16.143007

15.247969

14.625624

15.662494

15.825121

15.791998

16.149542

16.311243

15.001883

1712.01608

Marek Rogatko

Marek Rogatko, Karol.I.Wysokinski

Holographic calcualtion of the magneto-transport coefficients in Dirac semimetals

26 pages, 7 figures

JHEP 01 (2018) 078

10.1007/JHEP01(2018)078

null

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

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

Based on the gauge/gravity correspondence we have calculated the thermoelectric kinetic and transport characteristics of the strongly interacting materials in the presence of perpendicular magnetic field. The 3+1 dimensional system with Dirac-like spectrum is considered as a strongly interacting one if it is close to the particle-hole symmetry point. Transport in such system has been modeled by the two interacting vector fields. In the holographic theory the momentum relaxation is caused by axion field and leads to finite values of the direct current transport coefficients. We have calculated conductivity tensor in the presence of mutually perpendicular electric and magnetic fields and temperature gradient. The geometry differs from that in which magnetic field lies in the same plane as an electric one and temperature gradient.

[ { "created": "Tue, 5 Dec 2017 13:04:56 GMT", "version": "v1" } ]

2018-02-14

[ [ "Rogatko", "Marek", "" ], [ "Wysokinski", "Karol. I.", "" ] ]

Based on the gauge/gravity correspondence we have calculated the thermoelectric kinetic and transport characteristics of the strongly interacting materials in the presence of perpendicular magnetic field. The 3+1 dimensional system with Dirac-like spectrum is considered as a strongly interacting one if it is close to the particle-hole symmetry point. Transport in such system has been modeled by the two interacting vector fields. In the holographic theory the momentum relaxation is caused by axion field and leads to finite values of the direct current transport coefficients. We have calculated conductivity tensor in the presence of mutually perpendicular electric and magnetic fields and temperature gradient. The geometry differs from that in which magnetic field lies in the same plane as an electric one and temperature gradient.

14.096052

12.768106

14.643586

11.317151

11.981935

13.102928

12.278464

11.490427

11.889071

16.169865

12.294863

12.526529

13.549956

12.283571

11.915121

12.284499

12.151618

12.322072

12.092991

13.473859

12.420308

hep-th/0505077

Diego Trancanelli

Simone Giombi, Riccardo Ricci, Daniel Robles-Llana, Diego Trancanelli

Instantons and Matter in N=1/2 Supersymmetric Gauge Theory

33 pages, harvmac; v2: minor changes, added references; v3: added analysis of the instanton measure in section 9

JHEP 0510 (2005) 021

10.1088/1126-6708/2005/10/021

YITP-SB-05-12

hep-th

null

We extend the instanton calculus for N=1/2 U(2) supersymmetric gauge theory by including one massless flavor. We write the equations of motion at leading order in the coupling constant and we solve them exactly in the non(anti)commutativity parameter C. The profile of the matter superfield is deformed through linear and quadratic corrections in C. Higher order corrections are absent because of the fermionic nature of the back-reaction. The instanton effective action, in addition to the usual 't Hooft term, includes a contribution of order C^2 and is N=1/2 invariant. We argue that the N=1 result for the gluino condensate is not modified by the presence of the new term in the effective action.

[ { "created": "Mon, 9 May 2005 19:53:24 GMT", "version": "v1" }, { "created": "Thu, 12 May 2005 19:10:49 GMT", "version": "v2" }, { "created": "Tue, 27 Sep 2005 19:45:32 GMT", "version": "v3" } ]

2009-11-11

[ [ "Giombi", "Simone", "" ], [ "Ricci", "Riccardo", "" ], [ "Robles-Llana", "Daniel", "" ], [ "Trancanelli", "Diego", "" ] ]

We extend the instanton calculus for N=1/2 U(2) supersymmetric gauge theory by including one massless flavor. We write the equations of motion at leading order in the coupling constant and we solve them exactly in the non(anti)commutativity parameter C. The profile of the matter superfield is deformed through linear and quadratic corrections in C. Higher order corrections are absent because of the fermionic nature of the back-reaction. The instanton effective action, in addition to the usual 't Hooft term, includes a contribution of order C^2 and is N=1/2 invariant. We argue that the N=1 result for the gluino condensate is not modified by the presence of the new term in the effective action.

8.524494

7.557674

7.853708

7.749228

7.559392

7.561827

7.285446

7.283062

7.302568

8.608512

7.711121

7.953099

8.164782

7.725158

7.947427

8.05187

7.948383

7.866262

7.649289

8.351608

7.791929

0911.3378

Michael R. Douglas

Effective potential and warp factor dynamics

32 pages, JHEP3.cls. v4: added reference to hep-th/0507158

JHEP 1003:071,2010

10.1007/JHEP03(2010)071

null

hep-th

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

We define an effective potential describing all massless and massive modes in the supergravity limit of string/M theory compactification which is valid off-shell, i.e. without imposing the equations of motion. If we neglect the warp factor, it is unbounded below, as is the case for the action in Euclidean quantum gravity. By study of the constraint which determines the warp factor, we solve this problem, obtaining a physically satisfying and tractable description of the dynamics of the warp factor.

[ { "created": "Tue, 17 Nov 2009 19:19:21 GMT", "version": "v1" }, { "created": "Mon, 23 Nov 2009 16:29:10 GMT", "version": "v2" }, { "created": "Sun, 6 Dec 2009 16:55:08 GMT", "version": "v3" }, { "created": "Sat, 26 Dec 2009 18:21:51 GMT", "version": "v4" } ]

2010-05-18

[ [ "Douglas", "Michael R.", "" ] ]

We define an effective potential describing all massless and massive modes in the supergravity limit of string/M theory compactification which is valid off-shell, i.e. without imposing the equations of motion. If we neglect the warp factor, it is unbounded below, as is the case for the action in Euclidean quantum gravity. By study of the constraint which determines the warp factor, we solve this problem, obtaining a physically satisfying and tractable description of the dynamics of the warp factor.

14.549648

13.854507

15.311999

13.476756

13.615807

13.179667

14.281519

14.204557

13.802005

15.823426

13.953256

13.307352

13.874378

13.425944

14.172243

13.563551

13.339868

14.166619

13.167207

14.046146

13.441889

2303.04701

David K. Kolchmeyer

von Neumann algebras in JT gravity

35 pages + appendices. v2: typos fixed, appendix added

null

10.1007/JHEP06(2023)067

null

hep-th math-ph math.MP

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

We quantize JT gravity with matter on the spatial interval with two asymptotically AdS boundaries. We consider the von Neumann algebra generated by the right Hamiltonian and the gravitationally dressed matter operators on the right boundary. We prove that the commutant of this algebra is the analogously defined left boundary algebra and that both algebras are type II$_\infty$ factors. These algebras provide a precise notion of the entanglement wedge away from the semiclassical limit. We comment on how the factorization problem differs between pure JT gravity and JT gravity with matter.

[ { "created": "Wed, 8 Mar 2023 16:42:02 GMT", "version": "v1" }, { "created": "Fri, 7 Apr 2023 15:01:22 GMT", "version": "v2" } ]

2023-06-28

[ [ "Kolchmeyer", "David K.", "" ] ]

We quantize JT gravity with matter on the spatial interval with two asymptotically AdS boundaries. We consider the von Neumann algebra generated by the right Hamiltonian and the gravitationally dressed matter operators on the right boundary. We prove that the commutant of this algebra is the analogously defined left boundary algebra and that both algebras are type II$_\infty$ factors. These algebras provide a precise notion of the entanglement wedge away from the semiclassical limit. We comment on how the factorization problem differs between pure JT gravity and JT gravity with matter.

8.442155

7.424186

8.752768

6.956292

7.409356

7.471543

7.101226

6.913929

7.07838

9.314466

7.089264

7.164133

8.191876

7.265983

7.316794

7.206695

6.932153

7.072064

7.299563

8.016786

6.981553

hep-th/0409198

Allemandi Gianluca

Gianluca Allemandi, Monica Capone, Salvatore Capozziello, Mauro Francaviglia

Conformal aspects of Palatini approach in Extended Theories of Gravity

null

Gen.Rel.Grav.38:33-60,2006

10.1007/s10714-005-0208-7

null

hep-th

null

The debate on the physical relevance of conformal transformations can be faced by taking the Palatini approach into account to gravitational theories. We show that conformal transformations are not only a mathematical tool to disentangle gravitational and matter degrees of freedom (passing from the Jordan frame to the Einstein frame) but they acquire a physical meaning considering the bi-metric structure of Palatini approach which allows to distinguish between spacetime structure and geodesic structure. Examples of higher-order and non-minimally coupled theories are worked out and relevant cosmological solutions in Einstein frame and Jordan frames are discussed showing that also the interpretation of cosmological observations can drastically change depending on the adopted frame.

[ { "created": "Mon, 20 Sep 2004 13:15:39 GMT", "version": "v1" } ]

2009-11-10

[ [ "Allemandi", "Gianluca", "" ], [ "Capone", "Monica", "" ], [ "Capozziello", "Salvatore", "" ], [ "Francaviglia", "Mauro", "" ] ]

The debate on the physical relevance of conformal transformations can be faced by taking the Palatini approach into account to gravitational theories. We show that conformal transformations are not only a mathematical tool to disentangle gravitational and matter degrees of freedom (passing from the Jordan frame to the Einstein frame) but they acquire a physical meaning considering the bi-metric structure of Palatini approach which allows to distinguish between spacetime structure and geodesic structure. Examples of higher-order and non-minimally coupled theories are worked out and relevant cosmological solutions in Einstein frame and Jordan frames are discussed showing that also the interpretation of cosmological observations can drastically change depending on the adopted frame.

10.117457

11.169681

9.498752

9.462773

10.169343

9.635834

10.246388

9.315908

9.918331

9.890273

9.80855

9.590716

8.995663

9.005951

9.604629

9.496651

9.728924

9.252816

9.859063

9.094173

10.046453

2309.04425

Federico Faedo

Edoardo Colombo, Federico Faedo, Dario Martelli, Alberto Zaffaroni

Equivariant volume extremization and holography

62 pages. v2: minor changes, subsection and appendix added, references added. v3: minor changes, published version

null

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

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

In a previous paper two of us (D.M. and A.Z.) proposed that a vast class of gravitational extremization problems in holography can be formulated in terms of the equivariant volume of the internal geometry, or of the cone over it. We substantiate this claim by analysing supergravity solutions corresponding to branes partially or totally wrapped on a four-dimensional orbifold, both in M-theory as well as in type II supergravities. We show that our approach recovers the relevant gravitational central charges/free energies of several known supergravity solutions and can be used to compute these also for solutions that are not known explicitly. Moreover, we demonstrate the validity of previously conjectured gravitational block formulas for M5 and D4 branes. In the case of M5 branes we make contact with a recent approach based on localization of equivariant forms, constructed with Killing spinor bilinears.

[ { "created": "Fri, 8 Sep 2023 16:38:50 GMT", "version": "v1" }, { "created": "Mon, 9 Oct 2023 17:12:47 GMT", "version": "v2" }, { "created": "Tue, 23 Jan 2024 08:15:16 GMT", "version": "v3" } ]

2024-01-24

[ [ "Colombo", "Edoardo", "" ], [ "Faedo", "Federico", "" ], [ "Martelli", "Dario", "" ], [ "Zaffaroni", "Alberto", "" ] ]

In a previous paper two of us (D.M. and A.Z.) proposed that a vast class of gravitational extremization problems in holography can be formulated in terms of the equivariant volume of the internal geometry, or of the cone over it. We substantiate this claim by analysing supergravity solutions corresponding to branes partially or totally wrapped on a four-dimensional orbifold, both in M-theory as well as in type II supergravities. We show that our approach recovers the relevant gravitational central charges/free energies of several known supergravity solutions and can be used to compute these also for solutions that are not known explicitly. Moreover, we demonstrate the validity of previously conjectured gravitational block formulas for M5 and D4 branes. In the case of M5 branes we make contact with a recent approach based on localization of equivariant forms, constructed with Killing spinor bilinears.

12.05866

11.674747

12.989466

11.421007

12.248579

11.62765

11.623265

12.041465

10.88746

14.743526

11.549966

11.521063

11.960403

11.33295

11.053946

11.564011

11.208717

11.562012

11.244399

12.252733

10.986282

hep-th/9511040

Terry Gannon

The level 2 and 3 modular invariants of SU(n)

plain tex, 8 pages

Lett.Math.Phys.39:289-298,1997

10.1023/A:1007369013693

null

hep-th

null

In this paper we explicitly classify all modular invariant partition functions for su(n) at level 2 and 3. Previously, these were known only for level 1. The level 2 exceptionals exist at n=10, 16, and 28; the level 3 exceptionals exist at n=5, 9, and 21. One of these is new, but the others were all anticipated by the "rank-level duality" relating su(n) level k and su(k) level n. The main recent result which this paper rests on is the classification of "ADE_7-type invariants".

[ { "created": "Mon, 6 Nov 1995 20:34:14 GMT", "version": "v1" } ]

2014-11-18

[ [ "Gannon", "Terry", "" ] ]

In this paper we explicitly classify all modular invariant partition functions for su(n) at level 2 and 3. Previously, these were known only for level 1. The level 2 exceptionals exist at n=10, 16, and 28; the level 3 exceptionals exist at n=5, 9, and 21. One of these is new, but the others were all anticipated by the "rank-level duality" relating su(n) level k and su(k) level n. The main recent result which this paper rests on is the classification of "ADE_7-type invariants".

10.766905

11.000061

12.014856

9.88916

10.725434

12.114968

10.293953

10.023302

10.604574

12.621216

10.054247

10.118794

11.008504

10.310963

10.608749

9.913268

10.614864

10.104472

10.266383

10.948634

9.869771

hep-th/0008253

Kirill Krasnov

Kirill Krasnov (UCSB)

3D Gravity, Point Particles and Liouville Theory

17 pages, 3 figures, references added

Class.Quant.Grav. 18 (2001) 1291-1304

10.1088/0264-9381/18/7/311

null

hep-th gr-qc

null

This paper elaborates on the bulk/boundary relation between negative cosmological constant 3D gravity and Liouville field theory (LFT). We develop an interpretation of LFT non-normalizable states in terms of particles moving in the bulk. This interpretation is suggested by the fact that ``heavy'' vertex operators of LFT create conical singularities and thus should correspond to point particles moving inside AdS. We confirm this expectation by comparing the (semi-classical approximation to the) LFT two-point function with the (appropriately regularized) gravity action evaluated on the corresponding metric.

[ { "created": "Thu, 31 Aug 2000 22:05:55 GMT", "version": "v1" }, { "created": "Mon, 11 Sep 2000 23:57:28 GMT", "version": "v2" } ]

2009-10-31

[ [ "Krasnov", "Kirill", "", "UCSB" ] ]

This paper elaborates on the bulk/boundary relation between negative cosmological constant 3D gravity and Liouville field theory (LFT). We develop an interpretation of LFT non-normalizable states in terms of particles moving in the bulk. This interpretation is suggested by the fact that ``heavy'' vertex operators of LFT create conical singularities and thus should correspond to point particles moving inside AdS. We confirm this expectation by comparing the (semi-classical approximation to the) LFT two-point function with the (appropriately regularized) gravity action evaluated on the corresponding metric.

10.387101

9.0363

10.682408

9.013613

9.248204

9.423883

8.947838

8.765539

8.873197

10.541662

8.843246

8.549651

10.296294

8.696953

8.814836

8.638591

8.590075

8.546486

8.581258

10.040513

9.159794

hep-th/0611075

Masato Ito

Cosmological solutions for model with a $1/H^{2}$ term

10 pages, 2 figures, version to appear in JCAP

JCAP 0703:009,2007

10.1088/1475-7516/2007/03/009

AUE-06-01

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

null

We drive the cosmological solutions of five-dimensional model with $1/H^{2}$ term $(H^{2}\equiv H_{MNPQ}H^{MNPQ})$, where $H_{MNPQ}$ is 4-form field strength. The behaviors of the scale factors and the scalar potential in effective theory are examined.As a consequence, we show that the universe changes from decelerated expansion to accelerated expansion in Einstein frame of the four-dimensional theory.

[ { "created": "Tue, 7 Nov 2006 09:41:48 GMT", "version": "v1" }, { "created": "Tue, 23 Jan 2007 11:01:31 GMT", "version": "v2" }, { "created": "Thu, 8 Mar 2007 02:46:34 GMT", "version": "v3" }, { "created": "Wed, 14 Mar 2007 05:21:22 GMT", "version": "v4" } ]

2010-10-27

[ [ "Ito", "Masato", "" ] ]

We drive the cosmological solutions of five-dimensional model with $1/H^{2}$ term $(H^{2}\equiv H_{MNPQ}H^{MNPQ})$, where $H_{MNPQ}$ is 4-form field strength. The behaviors of the scale factors and the scalar potential in effective theory are examined.As a consequence, we show that the universe changes from decelerated expansion to accelerated expansion in Einstein frame of the four-dimensional theory.

11.935658

8.782974

10.163591

8.584446

10.319986

9.716731

9.283347

9.206921

8.839367

10.750865

9.062022

9.197848

10.503722

9.537825

10.229119

10.435185

10.202418

9.975533

10.026268

10.366759

9.559434

hep-th/0607077

Yann Mambrini

E. Dudas, Y. Mambrini

Moduli stabilization with positive vacuum energy

20 pages, 1 figure

JHEP0610:044,2006

10.1088/1126-6708/2006/10/044

null

hep-th hep-ph

null

We study the effect of anomalous U(1) gauge groups in string theory compactification with fluxes. We find that, in a gauge invariant formulation, consistent AdS vacua appear breaking spontaneously supergravity. Non vanishing D-terms from the anomalous symmetry act as an uplifting potential and could allow for de Sitter vacua. However, we show that in this case the gravitino is generically (but not always) much heavier than the electroweak scale. We show that alternative uplifting scheme based on corrections to the Kahler potential can be compatible with a gravitino mass in the TeV range.

[ { "created": "Wed, 12 Jul 2006 14:06:27 GMT", "version": "v1" } ]

2009-11-11

[ [ "Dudas", "E.", "" ], [ "Mambrini", "Y.", "" ] ]

We study the effect of anomalous U(1) gauge groups in string theory compactification with fluxes. We find that, in a gauge invariant formulation, consistent AdS vacua appear breaking spontaneously supergravity. Non vanishing D-terms from the anomalous symmetry act as an uplifting potential and could allow for de Sitter vacua. However, we show that in this case the gravitino is generically (but not always) much heavier than the electroweak scale. We show that alternative uplifting scheme based on corrections to the Kahler potential can be compatible with a gravitino mass in the TeV range.

9.119134

8.705288

9.114852

8.33671

8.293612

8.974811

8.936259

8.718049

7.772586

8.543053

8.582887

8.295688

8.398615

8.518612

8.563729

8.939396

8.375645

8.56521

8.324079

8.821679

8.717315

2311.18290

Pratik Rath

Xi Dong, Donald Marolf and Pratik Rath

Constrained HRT Surfaces and their Entropic Interpretation

16 pages, 3 figures, minor edits in v2

null

hep-th gr-qc quant-ph

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

Consider two boundary subregions $A$ and $B$ that lie in a common boundary Cauchy surface, and consider also the associated HRT surface $\gamma_B$ for $B$. In that context, the constrained HRT surface $\gamma_{A:B}$ can be defined as the codimension-2 bulk surface anchored to $A$ that is obtained by a maximin construction restricted to Cauchy slices containing $\gamma_B$. As a result, $\gamma_{A:B}$ is the union of two pieces, $\gamma^B_{A:B}$ and $\gamma^{\bar B}_{A:B}$ lying respectively in the entanglement wedges of $B$ and its complement $\bar B$. Unlike the area $\mathcal{A}\left(\gamma_A\right)$ of the HRT surface $\gamma_A$, at least in the semiclassical limit, the area $\mathcal{A}\left(\gamma_{A:B}\right)$ of $\gamma_{A:B}$ commutes with the area $\mathcal{A}\left(\gamma_B\right)$ of $\gamma_B$. To study the entropic interpretation of $\mathcal{A}\left(\gamma_{A:B}\right)$, we analyze the R\'enyi entropies of subregion $A$ in a fixed-area state of subregion $B$. We use the gravitational path integral to show that the $n\approx1$ R\'enyi entropies are then computed by minimizing $\mathcal{A}\left(\gamma_A\right)$ over spacetimes defined by a boost angle conjugate to $\mathcal{A}\left(\gamma_B\right)$. In the case where the pieces $\gamma^B_{A:B}$ and $\gamma^{\bar B}_{A:B}$ intersect at a constant boost angle, a geometric argument shows that the $n\approx1$ R\'enyi entropy is then given by $\frac{\mathcal{A}(\gamma_{A:B})}{4G}$. We discuss how the $n\approx1$ R\'enyi entropy differs from the von Neumann entropy due to a lack of commutativity of the $n\to1$ and $G\to0$ limits. We also discuss how the behaviour changes as a function of the width of the fixed-area state. Our results are relevant to some of the issues associated with attempts to use standard random tensor networks to describe time dependent geometries.

[ { "created": "Thu, 30 Nov 2023 06:50:40 GMT", "version": "v1" }, { "created": "Thu, 14 Dec 2023 16:00:53 GMT", "version": "v2" }, { "created": "Wed, 31 Jan 2024 20:18:39 GMT", "version": "v3" } ]

2024-02-02

[ [ "Dong", "Xi", "" ], [ "Marolf", "Donald", "" ], [ "Rath", "Pratik", "" ] ]

Consider two boundary subregions $A$ and $B$ that lie in a common boundary Cauchy surface, and consider also the associated HRT surface $\gamma_B$ for $B$. In that context, the constrained HRT surface $\gamma_{A:B}$ can be defined as the codimension-2 bulk surface anchored to $A$ that is obtained by a maximin construction restricted to Cauchy slices containing $\gamma_B$. As a result, $\gamma_{A:B}$ is the union of two pieces, $\gamma^B_{A:B}$ and $\gamma^{\bar B}_{A:B}$ lying respectively in the entanglement wedges of $B$ and its complement $\bar B$. Unlike the area $\mathcal{A}\left(\gamma_A\right)$ of the HRT surface $\gamma_A$, at least in the semiclassical limit, the area $\mathcal{A}\left(\gamma_{A:B}\right)$ of $\gamma_{A:B}$ commutes with the area $\mathcal{A}\left(\gamma_B\right)$ of $\gamma_B$. To study the entropic interpretation of $\mathcal{A}\left(\gamma_{A:B}\right)$, we analyze the R\'enyi entropies of subregion $A$ in a fixed-area state of subregion $B$. We use the gravitational path integral to show that the $n\approx1$ R\'enyi entropies are then computed by minimizing $\mathcal{A}\left(\gamma_A\right)$ over spacetimes defined by a boost angle conjugate to $\mathcal{A}\left(\gamma_B\right)$. In the case where the pieces $\gamma^B_{A:B}$ and $\gamma^{\bar B}_{A:B}$ intersect at a constant boost angle, a geometric argument shows that the $n\approx1$ R\'enyi entropy is then given by $\frac{\mathcal{A}(\gamma_{A:B})}{4G}$. We discuss how the $n\approx1$ R\'enyi entropy differs from the von Neumann entropy due to a lack of commutativity of the $n\to1$ and $G\to0$ limits. We also discuss how the behaviour changes as a function of the width of the fixed-area state. Our results are relevant to some of the issues associated with attempts to use standard random tensor networks to describe time dependent geometries.

4.735158

4.523174

5.024076

4.526038

4.962245

4.75837

4.765043

4.684839

4.536259

5.38903

4.4167

4.490676

4.66712

4.376172

4.450255

4.544991

4.546756

4.474039

4.438714

4.599533

4.460427

hep-th/9610102

Alexander Sevrin

Alexander Sevrin and Jan Troost

Off-Shell Formulation of N=2 Non-Linear Sigma-Models

22 pages, LaTeX

Nucl.Phys. B492 (1997) 623-646

10.1016/S0550-3213(97)00103-X

VUB/TENA/96/06

hep-th

null

We study d=2, N=(2,2) non-linear sigma-models in (2,2) superspace. By analyzing the most general constraints on a superfield, we show that through an appropriate choice of coordinates, there are no other superfields than chiral, twisted chiral and semi-chiral ones. We study the resulting sigma-models and we speculate on the possibility that all (2,2) non-linear sigma-models can be described using these fields. We apply the results to two examples: the SU(2) x U(1) and the SU(2) x SU(2) WZW model. Pending upon the choice of complex structures, the former can be described in terms of either one semi-chiral multiplet or a chiral and a twisted chiral multiplet. The latter is formulated in terms of one semi-chiral and one twisted chiral multiplet. For both cases we obtain the potential explicitely.

[ { "created": "Tue, 15 Oct 1996 09:57:41 GMT", "version": "v1" } ]

2009-10-30

[ [ "Sevrin", "Alexander", "" ], [ "Troost", "Jan", "" ] ]

We study d=2, N=(2,2) non-linear sigma-models in (2,2) superspace. By analyzing the most general constraints on a superfield, we show that through an appropriate choice of coordinates, there are no other superfields than chiral, twisted chiral and semi-chiral ones. We study the resulting sigma-models and we speculate on the possibility that all (2,2) non-linear sigma-models can be described using these fields. We apply the results to two examples: the SU(2) x U(1) and the SU(2) x SU(2) WZW model. Pending upon the choice of complex structures, the former can be described in terms of either one semi-chiral multiplet or a chiral and a twisted chiral multiplet. The latter is formulated in terms of one semi-chiral and one twisted chiral multiplet. For both cases we obtain the potential explicitely.

5.690876

5.24305

6.071129

5.033395

5.14408

5.063474

4.919671

5.1017

5.047773

6.520109

5.229218

5.083675

5.773462

5.149358

5.137753

5.372178

5.202506

5.136153

5.208872

5.707618

5.254935

1309.4185

Luis F. Urrutia

C.A. Escobar and L. F. Urrutia

The invariants of the electromagnetic field

6 pages, no figures, revtex4, New sections I and II. New references added. The construction in sections III,IV,V and in the Appendix is the same as in version 1

Journal of Mathematical Physics 55, 032902 (2014)

10.1063/1.4868478

null

hep-th

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

We present a constructive proof that all gauge invariant Lorentz scalars in Electrodynamics can be expressed as a function of the quadratic ones.

[ { "created": "Tue, 17 Sep 2013 05:21:28 GMT", "version": "v1" }, { "created": "Sun, 20 Apr 2014 01:42:29 GMT", "version": "v2" } ]

2015-06-17

[ [ "Escobar", "C. A.", "" ], [ "Urrutia", "L. F.", "" ] ]

We present a constructive proof that all gauge invariant Lorentz scalars in Electrodynamics can be expressed as a function of the quadratic ones.

21.608311

14.109676

12.479263

10.928173

16.664045

13.043983

13.185682

12.809155

14.13047

9.517136

13.202336

14.914547

13.311122

13.559251

13.744662

14.931825

14.91067

14.481861

13.538748

13.632911

13.218916

1706.05221

Zoltan Bajnok

Ines Aniceto, Zoltan Bajnok, Tamas Gombor, Minkyoo Kim, Laszlo Palla

On integrable boundaries in the 2 dimensional $O(N)$ $\sigma$-models

Dedicated to the memory of Petr Kulish, 31 pages, 1 figure, v2: conformality and integrability of the boundary conditions are distinguished

null

10.1088/1751-8121/aa8205

null

hep-th

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

We make an attempt to map the integrable boundary conditions for 2 dimensional non-linear O(N) $\sigma$-models. We do it at various levels: classically, by demanding the existence of infinitely many conserved local charges and also by constructing the double row transfer matrix from the Lax connection, which leads to the spectral curve formulation of the problem; at the quantum level, we describe the solutions of the boundary Yang-Baxter equation and derive the Bethe-Yang equations. We then show how to connect the thermodynamic limit of the boundary Bethe-Yang equations to the spectral curve.

[ { "created": "Fri, 16 Jun 2017 11:24:58 GMT", "version": "v1" }, { "created": "Tue, 25 Jul 2017 14:46:52 GMT", "version": "v2" } ]

2017-09-13

[ [ "Aniceto", "Ines", "" ], [ "Bajnok", "Zoltan", "" ], [ "Gombor", "Tamas", "" ], [ "Kim", "Minkyoo", "" ], [ "Palla", "Laszlo", "" ] ]

We make an attempt to map the integrable boundary conditions for 2 dimensional non-linear O(N) $\sigma$-models. We do it at various levels: classically, by demanding the existence of infinitely many conserved local charges and also by constructing the double row transfer matrix from the Lax connection, which leads to the spectral curve formulation of the problem; at the quantum level, we describe the solutions of the boundary Yang-Baxter equation and derive the Bethe-Yang equations. We then show how to connect the thermodynamic limit of the boundary Bethe-Yang equations to the spectral curve.

8.970542

8.011933

9.937556

7.875656

9.035825

8.623775

9.038382

7.985432

7.835413

8.97022

8.014811

8.122047

10.116621

7.938674

8.333211

8.216689

7.907363

8.042628

8.233562

8.906893

8.078317

0708.2287

Eric Bergshoeff

Eric Bergshoeff, Jelle Hartong and Dmitri Sorokin

Q7-branes and their coupling to IIB supergravity

31 pages, Latex file

JHEP 0712:079,2007

10.1088/1126-6708/2007/12/079

null

hep-th

null

We show how, by making use of a new basis of the IIB supergravity axion-dilaton coset, SL(2,R)/SO(2), 7-branes that belong to different conjugacy classes of the duality group SL(2,R) naturally couple to IIB supergravity with appropriate source terms characterized by an SL(2,R) charge matrix Q. The conjugacy classes are determined by the value of the determinant of Q. The (p,q) 7-branes are the branes in the conjugacy class detQ = 0. The 7-branes in the conjugacy class detQ > 0 are labelled by three numbers (p,q,r) which parameterize the matrix Q and will be called Q7-branes. We construct the full bosonic Wess--Zumino term for the Q7-branes. In order to realize a gauge invariant coupling of the Q7-brane to the gauge fields of IIB supergravity it is necessary to introduce an SL(2,R) doublet of two distinct Born--Infeld fields on the Q7-brane world-volume.

[ { "created": "Fri, 17 Aug 2007 15:21:47 GMT", "version": "v1" } ]

2009-11-18

[ [ "Bergshoeff", "Eric", "" ], [ "Hartong", "Jelle", "" ], [ "Sorokin", "Dmitri", "" ] ]

We show how, by making use of a new basis of the IIB supergravity axion-dilaton coset, SL(2,R)/SO(2), 7-branes that belong to different conjugacy classes of the duality group SL(2,R) naturally couple to IIB supergravity with appropriate source terms characterized by an SL(2,R) charge matrix Q. The conjugacy classes are determined by the value of the determinant of Q. The (p,q) 7-branes are the branes in the conjugacy class detQ = 0. The 7-branes in the conjugacy class detQ > 0 are labelled by three numbers (p,q,r) which parameterize the matrix Q and will be called Q7-branes. We construct the full bosonic Wess--Zumino term for the Q7-branes. In order to realize a gauge invariant coupling of the Q7-brane to the gauge fields of IIB supergravity it is necessary to introduce an SL(2,R) doublet of two distinct Born--Infeld fields on the Q7-brane world-volume.

5.78066

6.082091

6.44775

5.73427

6.537462

6.25913

6.473015

5.89852

5.805787

7.407054

5.743268

5.733323

6.143576

5.625174

6.020534

5.704072

5.794538

5.773458

5.703985

6.188035

5.708019

2307.08742

Xiaoyang Shen

Chi-Ming Chang, Xiaoyang Shen

Disordered $\mathcal{N} = (2, 2)$ Supersymmetric Field Theories

43 pages, 6 figures

SciPost Phys. 16, 140 (2024)

10.21468/SciPostPhys.16.5.140

null

hep-th cond-mat.str-el

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

We investigate a large class of $\mathcal{N} = (2, 2)$ supersymmetric field theories in two dimensions, which contains the Murugan-Stanford-Witten model, and can be naturally regarded as a disordered generalization of the two-dimensional Landau-Ginzburg models. We analyze the two and four-point functions of chiral superfields, and extract from them the central charge, the operator spectrum, and the chaos exponent in these models. Some of the models exhibit a conformal manifold parameterized by the variances of the random couplings. We compute the Zamolodchikov metrics on the conformal manifold, and demonstrate that the chaos exponent varies nontrivally along the conformal manifolds. Finally, we introduce and perform some preliminary analysis of a disordered generalization of the gauged linear sigma models, and discuss the low energy theories as ensemble averages of Calabi-Yau sigma models over complex structure moduli space.

[ { "created": "Mon, 17 Jul 2023 18:00:02 GMT", "version": "v1" } ]

2024-06-05

[ [ "Chang", "Chi-Ming", "" ], [ "Shen", "Xiaoyang", "" ] ]

We investigate a large class of $\mathcal{N} = (2, 2)$ supersymmetric field theories in two dimensions, which contains the Murugan-Stanford-Witten model, and can be naturally regarded as a disordered generalization of the two-dimensional Landau-Ginzburg models. We analyze the two and four-point functions of chiral superfields, and extract from them the central charge, the operator spectrum, and the chaos exponent in these models. Some of the models exhibit a conformal manifold parameterized by the variances of the random couplings. We compute the Zamolodchikov metrics on the conformal manifold, and demonstrate that the chaos exponent varies nontrivally along the conformal manifolds. Finally, we introduce and perform some preliminary analysis of a disordered generalization of the gauged linear sigma models, and discuss the low energy theories as ensemble averages of Calabi-Yau sigma models over complex structure moduli space.

7.203748

7.292463

8.776031

6.917909

6.918153

6.942303

7.223752

7.033412

6.78236

9.575655

6.742131

6.85354

7.69942

6.775109

6.847591

6.885674

7.030566

6.707381

6.830557

7.432101

6.960156

2401.09307

Leihua Liu

Tao Li and Lei-Hua Liu

Inflationary Krylov complexity

matching the publishing version

JHEP04(2024)123

10.1007/JHEP04(2024)123

null

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

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

In this work, we have systematically investigated the Krylov complexity of curvature perturbation for the modified dispersion relation in inflation, using the algorithm in closed system and open system. Our analysis could be applied to the most inflationary models. Following the Lanczos algorithm, we find the very early universe is an infinite, many-body, and maximal chaotic system. Our numerics shows that the Lanczos coefficient and Lyapunov index of the standard dispersion relation are mainly determined by the scale factor. As for the modified case, it is nearly determined by the momentum. In a method of the closed system, we discover that the Krylov complexity will show irregular oscillation before the horizon exits. The modified case will present faster growth after the horizon exists. Since the whole universe is an open system, the approach of an open system is more realistic and reliable. Then, we construct the exact wave function which is very robust only requiring the Lanczos coefficient proportional to $n$ (main quantum number). Based on it, we find the Krylov complexity and Krylov entropy could nicely recover in the case of a closed system under the weak dissipative approximation, in which our analysis shows that the evolution of Krylov complexity will not be the same with the original situation. We also find the inflationary period is a strong dissipative system. Meanwhile, our numerics clearly shows the Krylov complexity will grow during the whole inflationary period. But for the small scales, there will be a peak after the horizon exits. Our analysis reveals that the dramatic change in background (inflation) will significantly impact the evolution of Krylov complexity. Since the curvature perturbation will transit from the quantum level to the classical level.

[ { "created": "Wed, 17 Jan 2024 16:17:51 GMT", "version": "v1" }, { "created": "Sat, 20 Jan 2024 16:37:49 GMT", "version": "v2" }, { "created": "Tue, 6 Feb 2024 08:00:47 GMT", "version": "v3" }, { "created": "Thu, 23 May 2024 08:06:31 GMT", "version": "v4" } ]

2024-05-24

[ [ "Li", "Tao", "" ], [ "Liu", "Lei-Hua", "" ] ]

In this work, we have systematically investigated the Krylov complexity of curvature perturbation for the modified dispersion relation in inflation, using the algorithm in closed system and open system. Our analysis could be applied to the most inflationary models. Following the Lanczos algorithm, we find the very early universe is an infinite, many-body, and maximal chaotic system. Our numerics shows that the Lanczos coefficient and Lyapunov index of the standard dispersion relation are mainly determined by the scale factor. As for the modified case, it is nearly determined by the momentum. In a method of the closed system, we discover that the Krylov complexity will show irregular oscillation before the horizon exits. The modified case will present faster growth after the horizon exists. Since the whole universe is an open system, the approach of an open system is more realistic and reliable. Then, we construct the exact wave function which is very robust only requiring the Lanczos coefficient proportional to $n$ (main quantum number). Based on it, we find the Krylov complexity and Krylov entropy could nicely recover in the case of a closed system under the weak dissipative approximation, in which our analysis shows that the evolution of Krylov complexity will not be the same with the original situation. We also find the inflationary period is a strong dissipative system. Meanwhile, our numerics clearly shows the Krylov complexity will grow during the whole inflationary period. But for the small scales, there will be a peak after the horizon exits. Our analysis reveals that the dramatic change in background (inflation) will significantly impact the evolution of Krylov complexity. Since the curvature perturbation will transit from the quantum level to the classical level.

13.366854

13.478341

13.286695

12.618665

13.164273

13.702571

13.24608

12.754585

13.230683

14.272618

12.655594

12.434288

13.191004

12.462489

12.823281

12.456895

12.879629

12.30565

12.62978

12.895924

12.586745

hep-th/0001025

Calin Iuliu Lazaroiu

Brian R. Greene, C. I. Lazaroiu

Collapsing D-Branes in Calabi-Yau Moduli Space: I

77 pages, 15 figures

Nucl.Phys. B604 (2001) 181-255

10.1016/S0550-3213(01)00154-7

CU-TP 963

hep-th math.AG

null

We study the quantum volume of D-branes wrapped around various cycles in Calabi-Yau manifolds, as the manifold's moduli are varied. In particular, we focus on the behaviour of these D-branes near phase transitions between distinct low energy physical descriptions of the resulting string theory. Whereas previous studies have solely considered quantum volumes in the context of two-cycles in perturbative string theory or D-branes in the specific example of the quintic hypersurface, we work more generally and find qualitatively new features. On the mathematical side, as we briefly note, our work has some interesting implications for certain issues in arithmetics.

[ { "created": "Thu, 6 Jan 2000 22:56:57 GMT", "version": "v1" }, { "created": "Tue, 1 Feb 2000 05:33:37 GMT", "version": "v2" } ]

2009-10-31

[ [ "Greene", "Brian R.", "" ], [ "Lazaroiu", "C. I.", "" ] ]

We study the quantum volume of D-branes wrapped around various cycles in Calabi-Yau manifolds, as the manifold's moduli are varied. In particular, we focus on the behaviour of these D-branes near phase transitions between distinct low energy physical descriptions of the resulting string theory. Whereas previous studies have solely considered quantum volumes in the context of two-cycles in perturbative string theory or D-branes in the specific example of the quintic hypersurface, we work more generally and find qualitatively new features. On the mathematical side, as we briefly note, our work has some interesting implications for certain issues in arithmetics.

11.858593

10.891307

12.235574

10.167892

11.513537

11.233257

10.422083

11.387588

10.379271

13.330811

10.593124

10.538385

11.643904

10.782819

10.569141

10.422711

10.481808

10.677574

10.57333

11.198439

10.637144

0812.1311

Irina Radinschi

I. Radinschi, F. Rahaman, M. Kalam and K. Chakraborty

Classical electron model with non static conformal symmetry

Title changed, LaTex

Fizika B, 19(3), 125-134, (2010)

null

hep-th

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

Lorentz proposed a classical model of electron in which electron was assumed to have only 'electromagnetic mass'. We modeled electron as charged anisotropic perfect fluid sphere admitting non static conformal symmetry. It is noticed that the pressure and density fail to be regular at the origin but effective gravitational mass is regular everywhere and vanishes at the limit r->0 i.e. it does not have to tolerate the problem of singularity. Further, we have matched interior metric with exterior (Reissner-Nordstr\"om) metric and determine the values of the parameters k and r_0 (occurring in the solutions) in functions of mass, charge and radius of the spherically symmetric charged objects i.e. electron.

[ { "created": "Sat, 6 Dec 2008 20:00:44 GMT", "version": "v1" }, { "created": "Sat, 11 Dec 2010 14:40:37 GMT", "version": "v2" } ]

2011-10-11

[ [ "Radinschi", "I.", "" ], [ "Rahaman", "F.", "" ], [ "Kalam", "M.", "" ], [ "Chakraborty", "K.", "" ] ]

Lorentz proposed a classical model of electron in which electron was assumed to have only 'electromagnetic mass'. We modeled electron as charged anisotropic perfect fluid sphere admitting non static conformal symmetry. It is noticed that the pressure and density fail to be regular at the origin but effective gravitational mass is regular everywhere and vanishes at the limit r->0 i.e. it does not have to tolerate the problem of singularity. Further, we have matched interior metric with exterior (Reissner-Nordstr\"om) metric and determine the values of the parameters k and r_0 (occurring in the solutions) in functions of mass, charge and radius of the spherically symmetric charged objects i.e. electron.

13.319861

14.978269

13.821868

12.965365

12.396014

12.854361

14.880705

12.602688

14.864514

14.400907

14.381123

13.047292

12.904917

12.615434

12.187726

12.031333

12.335611

12.787638

12.944057

12.447154

13.137297

1702.02164

Edoardo Vescovi

V. Forini, A.A. Tseytlin, E. Vescovi

Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $AdS_5 \times S^5$

32 pages, one reference added, typos corrected

null

10.1007/JHEP03(2017)003

HU-EP-17/02, Imperial-TP-AAT-2017-03

hep-th

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

We revisit the computation of the 1-loop string correction to the "latitude" minimal surface in $AdS_5 \times S^5$ representing 1/4 BPS Wilson loop in planar $\cal N$=4 SYM theory previously addressed in arXiv:1512.00841 and arXiv:1601.04708. We resolve the problem of matching with the subleading term in the strong coupling expansion of the exact gauge theory result (derived previously from localization) using a different method to compute determinants of 2d string fluctuation operators. We apply perturbation theory in a small parameter (angle of the latitude) corresponding to an expansion near the $AdS_2$ minimal surface representing 1/2 BPS circular Wilson loop. This allows us to compute the corrections to the heat kernels and zeta-functions of the operators in terms of the known heat kernels on $AdS_2$. We apply the same method also to two other examples of Wilson loop surfaces: generalized cusp and $k$-wound circle.

[ { "created": "Tue, 7 Feb 2017 19:08:09 GMT", "version": "v1" }, { "created": "Fri, 24 Feb 2017 19:36:31 GMT", "version": "v2" } ]

2017-04-05

[ [ "Forini", "V.", "" ], [ "Tseytlin", "A. A.", "" ], [ "Vescovi", "E.", "" ] ]

We revisit the computation of the 1-loop string correction to the "latitude" minimal surface in $AdS_5 \times S^5$ representing 1/4 BPS Wilson loop in planar $\cal N$=4 SYM theory previously addressed in arXiv:1512.00841 and arXiv:1601.04708. We resolve the problem of matching with the subleading term in the strong coupling expansion of the exact gauge theory result (derived previously from localization) using a different method to compute determinants of 2d string fluctuation operators. We apply perturbation theory in a small parameter (angle of the latitude) corresponding to an expansion near the $AdS_2$ minimal surface representing 1/2 BPS circular Wilson loop. This allows us to compute the corrections to the heat kernels and zeta-functions of the operators in terms of the known heat kernels on $AdS_2$. We apply the same method also to two other examples of Wilson loop surfaces: generalized cusp and $k$-wound circle.

7.215276

7.476333

8.880562

7.293383

7.11838

7.326511

6.896492

6.488808

7.036872

9.159904

6.943648

7.017994

7.884323

7.380887

7.25616

7.092734

7.31636

7.142061

7.287122

7.618752

6.966678

1410.7985

Diego Chialva

On UltraViolet effects in protected inflationary models

4 pages plus bibliography

null

hep-th astro-ph.CO gr-qc

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

Inflationary models are usually UV sensitive. Several mechanism have been proposed to protect the necessary features of the potential, and most notably (softly broken) global symmetries as shift-symmetry. We show that, even in presence of these protecting mechanisms, the models maintain a serious UV-dependence. Via an improved effective theory analysis, we show how these corrections could significantly affect the duration of inflation, its robustness against the choice of initial conditions and the regimes that make it possible.

[ { "created": "Wed, 29 Oct 2014 13:56:11 GMT", "version": "v1" } ]

2014-11-03

[ [ "Chialva", "Diego", "" ] ]

Inflationary models are usually UV sensitive. Several mechanism have been proposed to protect the necessary features of the potential, and most notably (softly broken) global symmetries as shift-symmetry. We show that, even in presence of these protecting mechanisms, the models maintain a serious UV-dependence. Via an improved effective theory analysis, we show how these corrections could significantly affect the duration of inflation, its robustness against the choice of initial conditions and the regimes that make it possible.

21.008301

19.12759

18.457941

18.17429

20.499434

18.924788

20.612526

20.143435

17.687666

19.960957

17.775503

18.213299

17.79841

16.983187

17.825687

18.087072

18.222147

17.679554

17.06484

18.133587

17.213682

1805.00233

Hisham Sati

Hisham Sati, Urs Schreiber

Higher T-duality in M-theory via local supersymmetry

7 pages, concise physics letter companion to the mathematically rigorous treatment arXiv:1803.05634; to appear in Phys. Lett. B

null

10.1016/j.physletb.2018.04.058

null

hep-th

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

By analyzing super-torsion and brane super-cocycles, we derive a new duality in M-theory, which takes the form of a higher version of T-duality in string theory. This involves a new topology change mechanism abelianizing the 3-sphere associated with the C-field topology to the 517-torus associated with exceptional-generalized super-geometry. Finally we explain parity symmetry in M-theory within exceptional-generalized super-spacetime at the same level of spherical T-duality, namely as an isomorphism on 7-twisted cohomology.

[ { "created": "Tue, 1 May 2018 08:24:23 GMT", "version": "v1" } ]

2018-05-23

[ [ "Sati", "Hisham", "" ], [ "Schreiber", "Urs", "" ] ]

By analyzing super-torsion and brane super-cocycles, we derive a new duality in M-theory, which takes the form of a higher version of T-duality in string theory. This involves a new topology change mechanism abelianizing the 3-sphere associated with the C-field topology to the 517-torus associated with exceptional-generalized super-geometry. Finally we explain parity symmetry in M-theory within exceptional-generalized super-spacetime at the same level of spherical T-duality, namely as an isomorphism on 7-twisted cohomology.

20.403366

19.686441

24.185167

19.916965

20.987928

20.414085

20.414347

20.029402

18.675329

23.18602

18.228371

18.125435

22.360909

19.103617

19.943832

19.562571

18.32283

18.412552

18.74032

22.475965

19.028751

1511.04784

M. P. Garcia del Moral

Maria Pikar Garcia del Moral and Alvaro Restuccia

10D Massive Type IIA Supergravities as the uplift of Parabolic M2-brane Torus bundles

latex, 4pg, Contribution to the proceedings of "The String Theory Universe" workshop in Leuven, 7-11 Sept 2015

null

hep-th

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

We remark that the two 10D massive deformations of the $N=2$ maximal type IIA supergravity (Romans and HLW supergravity) are associated to the low energy limit of the uplift to 10D of M2-brane torus bundles with parabolic monodromy linearly and non-linearly realized respectively. Romans supergravity corresponds to M2-brane compactified on a twice-punctured torus bundle.

[ { "created": "Sun, 15 Nov 2015 23:46:48 GMT", "version": "v1" } ]

2015-11-17

[ [ "del Moral", "Maria Pikar Garcia", "" ], [ "Restuccia", "Alvaro", "" ] ]

We remark that the two 10D massive deformations of the $N=2$ maximal type IIA supergravity (Romans and HLW supergravity) are associated to the low energy limit of the uplift to 10D of M2-brane torus bundles with parabolic monodromy linearly and non-linearly realized respectively. Romans supergravity corresponds to M2-brane compactified on a twice-punctured torus bundle.

13.789578

15.328666

16.959356

12.59962

14.603

13.934484

13.964441

13.517206

12.997972

19.160215

12.599112

12.965975

13.681013

12.761411

12.152377

12.614944

12.442596

12.552802

12.728612

12.846242

11.974035

1705.04124

Malin G\"oteman

The complex world of superstrings: On semichiral sigma models

PhD thesis: Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology 989. 139 pp. Uppsala

null

hep-th

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

Non-linear sigma models with extended supersymmetry have constrained target space geometries, and can serve as effective tools for investigating and constructing new geometries. Analyzing the geometrical and topological properties of sigma models is necessary to understand the underlying structures of string theory. The most general two-dimensional sigma model with manifest N=(2,2) supersymmetry can be parametrized by chiral, twisted chiral and semichiral superfields. In the research presented in this thesis, N=(4,4) (twisted) supersymmetry is constructed for a semichiral sigma model. It is found that the model can only have additional supersymmetry off-shell if the target space has a dimension larger than four. For four-dimensional target manifolds, supersymmetry can be introduced on-shell, leading to a hyperk\"ahler manifold, or pseudo-supersymmetry can be imposed off-shell, implying a target space which is neutral hyperk\"ahler. Different sigma models and corresponding geometries can be related to each other by T-duality, obtained by gauging isometries of the Lagrangian. The semichiral vector multiplet and the large vector multiplet are needed for gauging isometries mixing semichiral superfields, and chiral and twisted chiral superfields, respectively. We find transformations that close off-shell to a N=(4,4) supersymmetry on the field strengths and gauge potentials of the semichiral vector multiplet, and show that this is not possible for the large vector multiplet. A sigma model parametrized by chiral and twisted chiral superfields can be related to a semichiral sigma model by T-duality. The N=(4,4) supersymmetry transformations of the former model are linear and close off-shell, whereas those of the latter are non-linear and close only on-shell. We show that this discrepancy can be understood from T-duality, and find the origin of the non-linear terms in the transformations.

[ { "created": "Thu, 11 May 2017 12:08:29 GMT", "version": "v1" } ]

2017-05-12

[ [ "Göteman", "Malin", "" ] ]

Non-linear sigma models with extended supersymmetry have constrained target space geometries, and can serve as effective tools for investigating and constructing new geometries. Analyzing the geometrical and topological properties of sigma models is necessary to understand the underlying structures of string theory. The most general two-dimensional sigma model with manifest N=(2,2) supersymmetry can be parametrized by chiral, twisted chiral and semichiral superfields. In the research presented in this thesis, N=(4,4) (twisted) supersymmetry is constructed for a semichiral sigma model. It is found that the model can only have additional supersymmetry off-shell if the target space has a dimension larger than four. For four-dimensional target manifolds, supersymmetry can be introduced on-shell, leading to a hyperk\"ahler manifold, or pseudo-supersymmetry can be imposed off-shell, implying a target space which is neutral hyperk\"ahler. Different sigma models and corresponding geometries can be related to each other by T-duality, obtained by gauging isometries of the Lagrangian. The semichiral vector multiplet and the large vector multiplet are needed for gauging isometries mixing semichiral superfields, and chiral and twisted chiral superfields, respectively. We find transformations that close off-shell to a N=(4,4) supersymmetry on the field strengths and gauge potentials of the semichiral vector multiplet, and show that this is not possible for the large vector multiplet. A sigma model parametrized by chiral and twisted chiral superfields can be related to a semichiral sigma model by T-duality. The N=(4,4) supersymmetry transformations of the former model are linear and close off-shell, whereas those of the latter are non-linear and close only on-shell. We show that this discrepancy can be understood from T-duality, and find the origin of the non-linear terms in the transformations.

5.368088

5.597589

6.033254

5.328922

5.565562

5.355645

5.094535

5.376301

5.332142

6.255743

5.231953

5.266626

5.715441

5.424253

5.411272

5.408645

5.348899

5.44009

5.44096

5.657267

5.348081

2004.02735

Shun-Qing Zhang

Congkao Wen, Shun-Qing Zhang

D3-Brane Loop Amplitudes from M5-Brane Tree Amplitudes

36 pages, 6 figures; v2: minor changes to match accepted version in JHEP, references added

null

10.1007/JHEP07(2020)098

QMUL-PH-20-07

hep-th

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

We study loop corrections to scattering amplitudes in the world-volume theory of a probe D3-brane, which is described by the supersymmetric Dirac-Born-Infeld theory. We show that the D3-brane loop superamplitudes can be obtained from the tree-level superamplitudes in the world-volume theory of a probe M5-brane (or D5-brane). The M5-brane theory describes self-interactions of an abelian tensor supermultiplet with $(2,0)$ supersymmetry, and the tree-level superamplitudes are given by a twistor formula. We apply the construction to the maximally-helicity-violating (MHV) amplitudes in the D3-brane theory at one-loop order, which are purely rational terms (except for the four-point amplitude). The results are further confirmed by generalised unitarity methods. Through a supersymmetry reduction on the M5-brane tree-level superamplitudes, we also construct one-loop corrections to the non-supersymmetric D3-brane amplitudes, which agree with the known results in the literature.

[ { "created": "Mon, 6 Apr 2020 15:30:11 GMT", "version": "v1" }, { "created": "Sat, 11 Jul 2020 11:47:13 GMT", "version": "v2" } ]

2020-08-26

[ [ "Wen", "Congkao", "" ], [ "Zhang", "Shun-Qing", "" ] ]

We study loop corrections to scattering amplitudes in the world-volume theory of a probe D3-brane, which is described by the supersymmetric Dirac-Born-Infeld theory. We show that the D3-brane loop superamplitudes can be obtained from the tree-level superamplitudes in the world-volume theory of a probe M5-brane (or D5-brane). The M5-brane theory describes self-interactions of an abelian tensor supermultiplet with $(2,0)$ supersymmetry, and the tree-level superamplitudes are given by a twistor formula. We apply the construction to the maximally-helicity-violating (MHV) amplitudes in the D3-brane theory at one-loop order, which are purely rational terms (except for the four-point amplitude). The results are further confirmed by generalised unitarity methods. Through a supersymmetry reduction on the M5-brane tree-level superamplitudes, we also construct one-loop corrections to the non-supersymmetric D3-brane amplitudes, which agree with the known results in the literature.

5.067316

4.867974

5.657676

4.928572

5.108352

4.962916

4.820626

4.759969

4.737755

5.59914

4.70914

4.905251

5.116411

4.859735

4.905593

4.978747

4.912097

4.794387

4.822907

4.989451

4.818312

1005.3519

Erich Poppitz

Erich Poppitz, Mithat Unsal

AdS/CFT and large-N volume independence

4 pages, 2 figures; references and comments added

Phys.Rev.D82:066002,2010

10.1103/PhysRevD.82.066002

null

hep-th hep-lat

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

We study the Eguchi-Kawai reduction in the strong-coupling domain of gauge theories via the gravity dual of N=4 super-Yang-Mills on R^3xS^1. We show that D-branes geometrize volume independence in the center-symmetric vacuum and give supergravity predictions for the range of validity of reduced large-N models at strong coupling.

[ { "created": "Wed, 19 May 2010 18:54:31 GMT", "version": "v1" }, { "created": "Tue, 15 Jun 2010 19:51:35 GMT", "version": "v2" } ]

2014-11-21

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

We study the Eguchi-Kawai reduction in the strong-coupling domain of gauge theories via the gravity dual of N=4 super-Yang-Mills on R^3xS^1. We show that D-branes geometrize volume independence in the center-symmetric vacuum and give supergravity predictions for the range of validity of reduced large-N models at strong coupling.

11.460106

12.027366

15.864101

11.964713

10.140411

11.054995

11.657262

10.372121

10.65561

13.721845

10.951459

10.961056

11.490819

11.252829

11.809173

11.933615

11.288325

12.052362

10.868934

12.084586

10.73339

1006.1986

Hrvoje Nikolic

H. Nikolic

Superluminal velocities and nonlocality in relativistic mechanics with scalar potential

16 pages, Sec. 4.3 and Appendix revised

null

hep-th hep-ph physics.class-ph quant-ph

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

Even though the usual form of relativistic mechanics does not allow superluminal particle velocities and nonlocal interactions, these features are not forbidden by relativity itself. To understand this on a deeper level, we study a generalized form of relativistic mechanics in which the particle is influenced not only by the usual tensor (gravitational) and vector (electromagnetic) potentials, but also by the scalar potential. The scalar potential promotes the mass squared M^2 to a dynamical quantity. Negative values of M^2, which lead to superluminal velocities, are allowed. The generalization to the many-particle case allows a nonlocal scalar potential, which makes nonlocal interactions compatible with relativity. Particle trajectories are parameterized by a scalar parameter analogous to the Newton absolute time. An example in which all these general features are explicitly realized is provided by relativistic Bohmian mechanics.

[ { "created": "Thu, 10 Jun 2010 09:47:55 GMT", "version": "v1" }, { "created": "Mon, 14 Jun 2010 12:22:12 GMT", "version": "v2" }, { "created": "Fri, 18 Jun 2010 11:22:57 GMT", "version": "v3" } ]

2011-09-28

[ [ "Nikolic", "H.", "" ] ]

Even though the usual form of relativistic mechanics does not allow superluminal particle velocities and nonlocal interactions, these features are not forbidden by relativity itself. To understand this on a deeper level, we study a generalized form of relativistic mechanics in which the particle is influenced not only by the usual tensor (gravitational) and vector (electromagnetic) potentials, but also by the scalar potential. The scalar potential promotes the mass squared M^2 to a dynamical quantity. Negative values of M^2, which lead to superluminal velocities, are allowed. The generalization to the many-particle case allows a nonlocal scalar potential, which makes nonlocal interactions compatible with relativity. Particle trajectories are parameterized by a scalar parameter analogous to the Newton absolute time. An example in which all these general features are explicitly realized is provided by relativistic Bohmian mechanics.

8.543011

9.227407

8.291962

8.263265

9.683271

9.138795

8.39614

8.604514

8.549665

8.899935

8.918367

7.822979

7.926714

8.006098

8.090767

8.119668

8.531329

7.989115

8.164434

8.259934

8.044628

0910.5122

Stefan Hohenegger

Matthias R. Gaberdiel and Stefan Hohenegger

Manifestly Supersymmetric RG Flows

22 pages; references added, minor changes

JHEP 1002:052,2010

10.1007/JHEP02(2010)052

null

hep-th

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

Renormalisation group (RG) equations in two-dimensional N=1 supersymmetric field theories with boundary are studied. It is explained how a manifestly N=1 supersymmetric scheme can be chosen, and within this scheme the RG equations are determined to next-to-leading order. We also use these results to revisit the question of how brane obstructions and lines of marginal stability appear from a world-sheet perspective.

[ { "created": "Tue, 27 Oct 2009 14:01:34 GMT", "version": "v1" }, { "created": "Mon, 25 Jan 2010 08:40:00 GMT", "version": "v2" } ]

2010-03-12

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Hohenegger", "Stefan", "" ] ]

Renormalisation group (RG) equations in two-dimensional N=1 supersymmetric field theories with boundary are studied. It is explained how a manifestly N=1 supersymmetric scheme can be chosen, and within this scheme the RG equations are determined to next-to-leading order. We also use these results to revisit the question of how brane obstructions and lines of marginal stability appear from a world-sheet perspective.

10.88049

8.88954

10.372169

8.459857

9.385695

9.342047

8.88064

8.674029

8.391245

11.309941

8.769867

9.690741

11.42726

9.50587

9.68034

10.010241

9.732594

9.446032

9.648728

10.765483

9.372643

hep-th/0405251

El Hassan Saidi

Malika Ait Ben Haddou, El Hassan Saidi

Hyperbolic Invariance

41 pages, 5 figures

null

Lab/UFR-HEP0401/GNPHE0401

hep-th

null

Motivated by the study of duality cascades in supersymmetric quiver gauge theories beyond affine models, we develop in this paper the analysis of a class of simply laced hyperbolic Lie algebras. These are specific generalizations of affine ADE symmetries which form a particular subclass of the so-called Indefinite Lie algebras. Because of indefinite signature of their bilinear form, we show that these infinite dimensional invariances have very special features and admit a remarkable link type IIB background with non zero axion. We also show that hyperbolic root system $\Delta_{hyp}$ has a $\mathbb{Z}_{2}\mathbb{\times Z}_{3}$ gradation containing two specific and isomorphic proper subsets of affine Kac-Moody root systems baptized as $\Delta _{affine}^{\delta}$ and $\Delta_{affine}^{\gamma}$. We give an explicit form of the commutation relations for hyperbolic ADE algebras and analyze their Weyl groups W$_{hyp}$. Comments regarding links with Seiberg like dualities and RG cascades are made.

[ { "created": "Thu, 27 May 2004 18:30:36 GMT", "version": "v1" } ]

2007-05-23

[ [ "Haddou", "Malika Ait Ben", "" ], [ "Saidi", "El Hassan", "" ] ]

Motivated by the study of duality cascades in supersymmetric quiver gauge theories beyond affine models, we develop in this paper the analysis of a class of simply laced hyperbolic Lie algebras. These are specific generalizations of affine ADE symmetries which form a particular subclass of the so-called Indefinite Lie algebras. Because of indefinite signature of their bilinear form, we show that these infinite dimensional invariances have very special features and admit a remarkable link type IIB background with non zero axion. We also show that hyperbolic root system $\Delta_{hyp}$ has a $\mathbb{Z}_{2}\mathbb{\times Z}_{3}$ gradation containing two specific and isomorphic proper subsets of affine Kac-Moody root systems baptized as $\Delta _{affine}^{\delta}$ and $\Delta_{affine}^{\gamma}$. We give an explicit form of the commutation relations for hyperbolic ADE algebras and analyze their Weyl groups W$_{hyp}$. Comments regarding links with Seiberg like dualities and RG cascades are made.

12.402078

12.164583

12.445956

11.748478

12.516528

12.880406

13.636292

12.427936

11.832348

14.230895

11.754689

11.948695

12.359666

11.555527

12.090497

11.622705

11.7379

11.85181

11.765942

12.21008

11.807641

0812.3273

Ed Threlfall

Nick Evans and Ed Threlfall

Chemical Potential in the Gravity Dual of a 2+1 Dimensional System

10 pages, 10 eps figures, version for publication

null

10.1103/PhysRevD.79.066008

null

hep-th

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

We study probe D5 branes in D3 brane AdS_5 and AdS_5-Schwarzschild backgrounds as a prototype dual description of strongly coupled 2+1 dimensional quasi-particles. We introduce a chemical potential through the U(1)_R symmetry group, U(1) baryon number and a U(1) of isospin in the multi-flavour case. We find the appropriate D5 embeddings in each case - the embeddings do not exhibit the spontaneous symmetry breaking that would be needed for a superconductor. The isospin chemical potential does induce the condensation of charged meson states.

[ { "created": "Wed, 17 Dec 2008 12:13:58 GMT", "version": "v1" }, { "created": "Mon, 16 Feb 2009 12:07:18 GMT", "version": "v2" } ]

2009-11-13

[ [ "Evans", "Nick", "" ], [ "Threlfall", "Ed", "" ] ]

We study probe D5 branes in D3 brane AdS_5 and AdS_5-Schwarzschild backgrounds as a prototype dual description of strongly coupled 2+1 dimensional quasi-particles. We introduce a chemical potential through the U(1)_R symmetry group, U(1) baryon number and a U(1) of isospin in the multi-flavour case. We find the appropriate D5 embeddings in each case - the embeddings do not exhibit the spontaneous symmetry breaking that would be needed for a superconductor. The isospin chemical potential does induce the condensation of charged meson states.

10.461886

8.32006

11.447603

7.791067

9.323233

8.117514

7.777684

7.4817

7.707294

10.911119

8.47874

8.871564

10.414609

9.33302

9.305671

9.075988

9.254009

8.854773

8.7334

10.180277

9.16792

1202.3692

Pierre Vanhove

Piotr Tourkine, Pierre Vanhove

An R^4 non-renormalisation theorem in N=4 supergravity

v2: added comments about one-loop UV divergences. Assorted stylistic corrections. Added references. v3: Eq. III.21 corrected and assorted minor corrections and clarifications. Version to be published. v4: minor corrections. 18 pages. one figure

null

10.1088/0264-9381/29/11/115006

IHES/P/12/02; IPHT-t11/189

hep-th

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

We consider the four-graviton amplitudes in CHL constructions providing four-dimensional N=4 models with various numbers of vector multiplets. We show that in these models the two-loop amplitude has a prefactor of d^2R^4. This implies a non-renormalisation theorem for the R^4 term, which forbids the appearance of a three-loop ultraviolet divergence in four dimensions in the four-graviton amplitude. We connect the special nature of the R^4 term to the U(1) anomaly of pure N=4 supergravity.

[ { "created": "Thu, 16 Feb 2012 20:52:34 GMT", "version": "v1" }, { "created": "Fri, 2 Mar 2012 08:10:04 GMT", "version": "v2" }, { "created": "Wed, 2 May 2012 08:26:09 GMT", "version": "v3" }, { "created": "Mon, 6 Aug 2012 19:47:04 GMT", "version": "v4" } ]

2015-06-04

[ [ "Tourkine", "Piotr", "" ], [ "Vanhove", "Pierre", "" ] ]

We consider the four-graviton amplitudes in CHL constructions providing four-dimensional N=4 models with various numbers of vector multiplets. We show that in these models the two-loop amplitude has a prefactor of d^2R^4. This implies a non-renormalisation theorem for the R^4 term, which forbids the appearance of a three-loop ultraviolet divergence in four dimensions in the four-graviton amplitude. We connect the special nature of the R^4 term to the U(1) anomaly of pure N=4 supergravity.

9.265655

9.323286

9.017148

8.1342

9.095915

9.462329

8.24537

7.894685

7.955268

10.42417

8.758552

8.581356

9.013959

8.190328

8.739035

8.156063

8.524277

8.688779

8.424562

9.079899

8.338805

hep-th/0603169

Martin Land

Duality in Off-Shell Electromagnetism

18 pages

Found.Phys.35:1245,2005

10.1007/s10701-005-6408-x

null

hep-th

null

In this paper, we examine the Dirac monopole in the framework of Off-Shell Electromagnetism, the five dimensional U(1) gauge theory associated with Stueckelberg-Schrodinger relativistic quantum theory. After reviewing the Dirac model in four dimensions, we show that the structure of the five dimensional theory prevents a natural generalization of the Dirac monopole, since the theory is not symmetric under duality transformations. It is shown that the duality symmetry can be restored by generalizing the electromagnetic field strength to an element of a Clifford algebra. Nevertheless, the generalized framework does not permit us to recover the phenomenological (or conventional) absence of magnetic monopoles.

[ { "created": "Tue, 21 Mar 2006 14:24:43 GMT", "version": "v1" } ]

2008-11-26

[ [ "Land", "Martin", "" ] ]

In this paper, we examine the Dirac monopole in the framework of Off-Shell Electromagnetism, the five dimensional U(1) gauge theory associated with Stueckelberg-Schrodinger relativistic quantum theory. After reviewing the Dirac model in four dimensions, we show that the structure of the five dimensional theory prevents a natural generalization of the Dirac monopole, since the theory is not symmetric under duality transformations. It is shown that the duality symmetry can be restored by generalizing the electromagnetic field strength to an element of a Clifford algebra. Nevertheless, the generalized framework does not permit us to recover the phenomenological (or conventional) absence of magnetic monopoles.

7.638084

7.387124

7.560005

7.332514

7.950109

8.389812

7.754615

7.392027

7.199135

8.395706

7.726121

7.363394

7.397921

7.193846

7.351614

7.400713

7.329805

7.268566

7.207708

7.187052

7.170772

hep-th/9509165

Cobi Sonnenschein

Ofer Aharony, Michael E. Peskin, Jacob Sonnenschein, Shimon Yankielowicz

Duality and other Exotic Gauge Dynamics in Softly Broken Supersymmetric QCD

13 pages

null

TAUP-2291-95

hep-th hep-lat hep-ph

null

We analyze the theory of softly broken supersymmetric $QCD$. Exotic behavior like spontaneously broken baryon number, massless composite fermions and Seiberg's duality seems to persist also in the presence of (small) soft supersymmetry breaking. We argue that certain, specially tailored, lattice simulations may be able to detect the novel phenomena. Most of the exotic behavior does not survive the decoupling limit of large SUSY breaking parameters.

[ { "created": "Thu, 28 Sep 1995 13:58:40 GMT", "version": "v1" } ]

2007-05-23

[ [ "Aharony", "Ofer", "" ], [ "Peskin", "Michael E.", "" ], [ "Sonnenschein", "Jacob", "" ], [ "Yankielowicz", "Shimon", "" ] ]

We analyze the theory of softly broken supersymmetric $QCD$. Exotic behavior like spontaneously broken baryon number, massless composite fermions and Seiberg's duality seems to persist also in the presence of (small) soft supersymmetry breaking. We argue that certain, specially tailored, lattice simulations may be able to detect the novel phenomena. Most of the exotic behavior does not survive the decoupling limit of large SUSY breaking parameters.

13.35857

9.484676

12.442778

11.6928

9.547432

10.13608

9.710252

10.231012

10.618031

14.052674

10.355707

11.456442

12.315379

11.537452

11.45376

11.766845

11.62237

12.503985

11.558078

12.682675

11.765145

hep-th/0505067

P. S. Howe

P.S. Howe, U. Lindstrom, L. Wulff

Superstrings with boundary fermions

26 pages. Typographical errors corrected. References added

JHEP 0508 (2005) 041

10.1088/1126-6708/2005/08/041

KCL-TH-05-03, UUITP-08/05, HIP-2005-17/TH, USITP-05-01

hep-th

null

The Green-Schwarz action for an open superstring with additional boundary fermions, representing Chan-Paton factors, is studied at the classical level. The boundary geometry is described by a bundle, with fermionic fibres, over the super worldvolume of a D-brane together with a map from the total space into the type II target superspace. This geometry is constrained by the requirement of kappa-symmetry on the boundary together with the use of the equations of motion for the fermions. There are two constraints which are formally similar to those that arise in the abelian case but which differ because of the dependence on the additional coordinates. The model, when quantised, would be a candidate for a fully kappa-symmetric theory of a stack of coincident D-branes including a non-abelian Born-Infeld sector. The example of the D9-brane in a flat background is studied. The constraints on the non-abelian field strength are shown to be in agreement with those derived from the pure spinor approach to the superstring. A covariant formalism is developed and the problem of quantisation is discussed.

[ { "created": "Mon, 9 May 2005 15:43:05 GMT", "version": "v1" }, { "created": "Mon, 6 Jun 2005 14:32:43 GMT", "version": "v2" } ]

2009-11-11

[ [ "Howe", "P. S.", "" ], [ "Lindstrom", "U.", "" ], [ "Wulff", "L.", "" ] ]

The Green-Schwarz action for an open superstring with additional boundary fermions, representing Chan-Paton factors, is studied at the classical level. The boundary geometry is described by a bundle, with fermionic fibres, over the super worldvolume of a D-brane together with a map from the total space into the type II target superspace. This geometry is constrained by the requirement of kappa-symmetry on the boundary together with the use of the equations of motion for the fermions. There are two constraints which are formally similar to those that arise in the abelian case but which differ because of the dependence on the additional coordinates. The model, when quantised, would be a candidate for a fully kappa-symmetric theory of a stack of coincident D-branes including a non-abelian Born-Infeld sector. The example of the D9-brane in a flat background is studied. The constraints on the non-abelian field strength are shown to be in agreement with those derived from the pure spinor approach to the superstring. A covariant formalism is developed and the problem of quantisation is discussed.

7.687315

7.918924

8.359974

7.406196

7.286941

7.275432

7.802114

7.669652

7.408713

9.482363

6.984211

7.421822

8.118347

7.356572

7.444549

7.339643

7.415973

7.619743

7.387569

8.09359

7.321065

1912.05746

Dominik Neuenfeld

Sean Cooper, Dominik Neuenfeld, Moshe Rozali, David Wakeham

Brane dynamics from the first law of entanglement

19 pages plus appendices

null

10.1007/JHEP03(2020)023

null

hep-th

http://creativecommons.org/publicdomain/zero/1.0/

In this note, we study the first law of entanglement in a boundary conformal field theory (BCFT) dual to warped AdS cut off by a brane. Exploiting the symmetry of boundary-centered half-balls in the BCFT, and using Wald's covariant phase space formalism in the presence of boundaries, we derive constraints from the first law for a broad range of covariant bulk Lagrangians. We explicitly evaluate these constraints for Einstein gravity, and find a local equation on the brane which is precisely the Neumann condition of Takayanagi [arXiv:1105.5165] at linear order in metric perturbations. This is analogous to the derivation of Einstein's equations from the first law of entanglement entropy. This machinery should generalize to give local linearized equations of motion for higher-derivative bulk gravity with additional fields.

[ { "created": "Thu, 12 Dec 2019 03:09:22 GMT", "version": "v1" } ]

2020-04-22

[ [ "Cooper", "Sean", "" ], [ "Neuenfeld", "Dominik", "" ], [ "Rozali", "Moshe", "" ], [ "Wakeham", "David", "" ] ]

In this note, we study the first law of entanglement in a boundary conformal field theory (BCFT) dual to warped AdS cut off by a brane. Exploiting the symmetry of boundary-centered half-balls in the BCFT, and using Wald's covariant phase space formalism in the presence of boundaries, we derive constraints from the first law for a broad range of covariant bulk Lagrangians. We explicitly evaluate these constraints for Einstein gravity, and find a local equation on the brane which is precisely the Neumann condition of Takayanagi [arXiv:1105.5165] at linear order in metric perturbations. This is analogous to the derivation of Einstein's equations from the first law of entanglement entropy. This machinery should generalize to give local linearized equations of motion for higher-derivative bulk gravity with additional fields.

9.931659

9.263174

11.628665

8.937438

10.218955

10.060066

9.231668

9.13848

8.631383

11.278799

8.751457

9.373449

10.003341

9.075884

9.56356

9.21967

9.407791

9.079232

9.231818

9.520397

8.87094

2008.13159

Vakhid Gani

Petr A. Blinov, Tatiana V. Gani, Vakhid A. Gani

Deformations of Kink Tails

14 pages, 6 figures; v2: final/published version

Ann. Phys. (N. Y.) 437, 168739 (2022)

10.1016/j.aop.2021.168739

null

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

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

We study the asymptotic properties of kinks in connection with the deformation procedure. We show that, upon deformation of the field-theoretic model, the asymptotics of kinks can change or remain unchanged, depending on the properties of the deforming function. The cases of both explicit and implicit kinks are considered. In addition, we show that the the deformation procedure can be applied to the important case of implicit kinks. We also prove that for any kink with a power-law tail, the stability potential decreases as the inverse square of the coordinate. The physical consequences of the deformation are discussed: the change of the kink mass, as well as the asymptotic behavior of the kink-antikink force.

[ { "created": "Sun, 30 Aug 2020 13:03:20 GMT", "version": "v1" }, { "created": "Thu, 13 Jan 2022 21:48:14 GMT", "version": "v2" } ]

2022-04-20

[ [ "Blinov", "Petr A.", "" ], [ "Gani", "Tatiana V.", "" ], [ "Gani", "Vakhid A.", "" ] ]

We study the asymptotic properties of kinks in connection with the deformation procedure. We show that, upon deformation of the field-theoretic model, the asymptotics of kinks can change or remain unchanged, depending on the properties of the deforming function. The cases of both explicit and implicit kinks are considered. In addition, we show that the the deformation procedure can be applied to the important case of implicit kinks. We also prove that for any kink with a power-law tail, the stability potential decreases as the inverse square of the coordinate. The physical consequences of the deformation are discussed: the change of the kink mass, as well as the asymptotic behavior of the kink-antikink force.

8.435345

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8.34845

7.715771

8.160593

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8.096577

7.880436

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7.993752

8.067533

7.895252

7.915582

8.209876

7.737215

1112.0325

Witold Skiba

Walter D. Goldberger, Witold Skiba, and Minho Son

Superembedding methods for 4d N=1 SCFTs

33 pages, clarification of constraints, version to appear in PRD

null

10.1103/PhysRevD.86.025019

null

hep-th

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

We extend SO(4,2) covariant lightcone embedding methods of four-dimensional CFTs to N=1 superconformal field theory (SCFT). Manifest superconformal SU(2,2|1) invariance is achieved by realizing 4D superconformal space as a surface embedded in the projective superspace spanned by certain complex chiral supermatrices. Because SU(2,2|1) acts linearly on the ambient space, the constraints on correlators implied by superconformal Ward identities are automatically solved in this formalism. Applications include new, compact expressions for correlation functions containing one anti-chiral superfield and arbitrary chiral superfield insertions, and manifestly invariant expressions for the superconformal cross-ratios that parametrize the four-point function of two chiral and two anti-chiral fields. Superconformal expressions for the leading singularities in the OPE of chiral and anti-chiral operators are also given. Because of covariance, our expressions are valid in any superconformally flat background, e.g., AdS_4 or R times S^3.

[ { "created": "Thu, 1 Dec 2011 21:01:04 GMT", "version": "v1" }, { "created": "Tue, 10 Jan 2012 19:36:30 GMT", "version": "v2" }, { "created": "Fri, 15 Jun 2012 20:31:19 GMT", "version": "v3" } ]

2013-05-30

[ [ "Goldberger", "Walter D.", "" ], [ "Skiba", "Witold", "" ], [ "Son", "Minho", "" ] ]

We extend SO(4,2) covariant lightcone embedding methods of four-dimensional CFTs to N=1 superconformal field theory (SCFT). Manifest superconformal SU(2,2|1) invariance is achieved by realizing 4D superconformal space as a surface embedded in the projective superspace spanned by certain complex chiral supermatrices. Because SU(2,2|1) acts linearly on the ambient space, the constraints on correlators implied by superconformal Ward identities are automatically solved in this formalism. Applications include new, compact expressions for correlation functions containing one anti-chiral superfield and arbitrary chiral superfield insertions, and manifestly invariant expressions for the superconformal cross-ratios that parametrize the four-point function of two chiral and two anti-chiral fields. Superconformal expressions for the leading singularities in the OPE of chiral and anti-chiral operators are also given. Because of covariance, our expressions are valid in any superconformally flat background, e.g., AdS_4 or R times S^3.

6.76037

6.546981

7.681559

6.488367

6.986207

6.712666

6.641524

6.929372

6.557988

8.04256

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6.396094

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6.534558

6.498999

6.655158

6.363335

6.524947

6.747778

7.070978

6.447063

1602.09057

Eva Llabr\'es

Alejandra Castro, Nabil Iqbal, and Eva Llabr\'es

Eternal Higher Spin Black Holes: a Thermofield Interpretation

53 pages, 9 figures

null

10.1007/JHEP08(2016)022

null

hep-th

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

We study Lorentzian eternal black holes in the Chern-Simons sector of AdS$_3$ higher spin gravity. We probe such black holes using bulk Wilson lines and motivate new regularity conditions that must be obeyed by the bulk connections in order for the geometry to be consistent with an interpretation as a thermofield state in the dual CFT$_2$. We demonstrate that any higher spin black hole may be placed in a gauge that satisfies these conditions: this is the Chern-Simons analogue of the construction of Kruskal coordinates that permit passage through the black hole horizon. We also argue that the Wilson line provides a higher-spin notion of causality in higher spin gravity that can be used to associate a Penrose diagram with the black hole. We present some applications of the formalism, including a study of the time-dependent entanglement entropy arising from the higher spin black hole interior and evidence for an emergent AdS$_2$ region in the extremal limit.

[ { "created": "Mon, 29 Feb 2016 17:27:07 GMT", "version": "v1" } ]

2016-08-24

[ [ "Castro", "Alejandra", "" ], [ "Iqbal", "Nabil", "" ], [ "Llabrés", "Eva", "" ] ]

We study Lorentzian eternal black holes in the Chern-Simons sector of AdS$_3$ higher spin gravity. We probe such black holes using bulk Wilson lines and motivate new regularity conditions that must be obeyed by the bulk connections in order for the geometry to be consistent with an interpretation as a thermofield state in the dual CFT$_2$. We demonstrate that any higher spin black hole may be placed in a gauge that satisfies these conditions: this is the Chern-Simons analogue of the construction of Kruskal coordinates that permit passage through the black hole horizon. We also argue that the Wilson line provides a higher-spin notion of causality in higher spin gravity that can be used to associate a Penrose diagram with the black hole. We present some applications of the formalism, including a study of the time-dependent entanglement entropy arising from the higher spin black hole interior and evidence for an emergent AdS$_2$ region in the extremal limit.

8.330273

8.371785

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8.832124

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8.702509

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10.74451

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8.27337

8.250773

8.01824

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8.180392

8.047137

8.111876

7.912702

8.435745

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