LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2203.15033

Paulo Carvalho

P. R. S. Carvalho

Nonextensive percolation and Lee-Yang edge singularity from nonextensive $\lambda\phi^{3}$ scalar field theory

16 pages, VIII Tables

Phys. Lett. B 833, 137284 (2022)

10.1016/j.physletb.2022.137284

null

hep-th cond-mat.stat-mech

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

We compute the critical exponents for nonextensive $\lambda\phi^{3}$ scalar field theory for all loop orders and $|q - 1| < 1$. We apply the results for both nonextensive percolation and Lee-Yang edge singularity problems. The corresponding systems are nonextensive generalizations of their extensive counterparts. For that we employ tools from the recently introduced nonextensive statistical field theory. The results for the nonextensive critical exponents computed depend on the nonextensive parameter $q$, which encodes global correlations among the degrees of freedom of the system. The extensive results are recovered in the limit $q\rightarrow 1$. There is an interplay between global correlations and fluctuations, once the nonextensive critical exponents depend on $q$. This dependence is in agreement with the universality hypothesis.

[ { "created": "Mon, 28 Mar 2022 18:57:33 GMT", "version": "v1" }, { "created": "Tue, 31 May 2022 21:03:54 GMT", "version": "v2" } ]

2022-08-26

[ [ "Carvalho", "P. R. S.", "" ] ]

We compute the critical exponents for nonextensive $\lambda\phi^{3}$ scalar field theory for all loop orders and $|q - 1| < 1$. We apply the results for both nonextensive percolation and Lee-Yang edge singularity problems. The corresponding systems are nonextensive generalizations of their extensive counterparts. For that we employ tools from the recently introduced nonextensive statistical field theory. The results for the nonextensive critical exponents computed depend on the nonextensive parameter $q$, which encodes global correlations among the degrees of freedom of the system. The extensive results are recovered in the limit $q\rightarrow 1$. There is an interplay between global correlations and fluctuations, once the nonextensive critical exponents depend on $q$. This dependence is in agreement with the universality hypothesis.

8.05718

7.139064

7.904223

7.25282

6.78413

6.813613

6.783253

7.271711

6.881377

8.937309

7.293916

7.514503

7.948203

7.551563

7.49647

7.219214

7.182909

7.166026

7.594152

8.105761

7.080658

2111.01162

Ingmar Saberi

Richard Eager, Fabian Hahner, Ingmar Saberi, Brian R. Williams

Perspectives on the pure spinor superfield formalism

v2: updated grant information. 66 pages, 27 tables. Comments welcome!

J.Geom.Phys. 180 (2022) 104626

10.1016/j.geomphys.2022.104626

null

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

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

In this note, we study, formalize, and generalize the pure spinor superfield formalism from a rather nontraditional perspective. To set the stage, we review the notion of a multiplet for a general super Lie algebra, working in the context of the BV and BRST formalisms. Building on this, we explain how the pure spinor superfield formalism can be viewed as constructing a supermultiplet out of the input datum of an equivariant graded module over the ring of functions on the nilpotence variety. We use the homotopy transfer theorem and other computational techniques from homological algebra to relate these multiplets to more standard component-field formulations. Physical properties of the resulting multiplets can then be understood in terms of algebrogeometric properties of the nilpotence variety. We illustrate our discussion with many examples in various dimensions.

[ { "created": "Mon, 1 Nov 2021 18:00:11 GMT", "version": "v1" }, { "created": "Fri, 7 Jan 2022 18:37:01 GMT", "version": "v2" } ]

2023-02-28

[ [ "Eager", "Richard", "" ], [ "Hahner", "Fabian", "" ], [ "Saberi", "Ingmar", "" ], [ "Williams", "Brian R.", "" ] ]

In this note, we study, formalize, and generalize the pure spinor superfield formalism from a rather nontraditional perspective. To set the stage, we review the notion of a multiplet for a general super Lie algebra, working in the context of the BV and BRST formalisms. Building on this, we explain how the pure spinor superfield formalism can be viewed as constructing a supermultiplet out of the input datum of an equivariant graded module over the ring of functions on the nilpotence variety. We use the homotopy transfer theorem and other computational techniques from homological algebra to relate these multiplets to more standard component-field formulations. Physical properties of the resulting multiplets can then be understood in terms of algebrogeometric properties of the nilpotence variety. We illustrate our discussion with many examples in various dimensions.

9.50168

10.456929

11.019102

9.638315

10.163829

10.048955

9.539858

9.396826

9.705071

12.034307

9.488023

9.278167

10.01789

9.446444

9.405316

9.020606

9.071963

9.076987

9.305775

10.041002

9.013067

hep-th/0305193

Djordje Minic

Djordje Minic and Chia-Hsiung Tze

Background Independent Quantum Mechanics and Gravity

9 pages, LaTeX

Phys.Rev.D68:061501,2003

10.1103/PhysRevD.68.061501

VPI-IPPAP-03-08

hep-th gr-qc quant-ph

null

We argue that the demand of background independence in a quantum theory of gravity calls for an extension of standard geometric quantum mechanics. We discuss a possible kinematical and dynamical generalization of the latter by way of a quantum covariance of the state space. Specifically, we apply our scheme to the problem of a background independent formulation of Matrix Theory.

[ { "created": "Wed, 21 May 2003 21:23:33 GMT", "version": "v1" } ]

2008-11-26

[ [ "Minic", "Djordje", "" ], [ "Tze", "Chia-Hsiung", "" ] ]

We argue that the demand of background independence in a quantum theory of gravity calls for an extension of standard geometric quantum mechanics. We discuss a possible kinematical and dynamical generalization of the latter by way of a quantum covariance of the state space. Specifically, we apply our scheme to the problem of a background independent formulation of Matrix Theory.

14.458171

10.76249

15.360253

12.06837

11.866331

12.249687

11.72381

11.645036

12.298164

15.130123

11.177073

12.780569

12.622419

12.538837

12.186655

13.047301

12.438756

12.468822

12.438683

13.280865

12.429228

2406.15144

Alexander Belavin

Alexander Belavin and Sergej Parkhomenko

Conformal bootstrap and Heterotic string Gepner models

null

hep-th math-ph math.MP

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

In Gepner's pioneering work, the requirement that leads to a model having the desired $N=1$ Spacetime supersymmetry and $E(8)\times E(6)$ Gauge symmetry was the requirement that the spacetime symmetry is compatible with modular invariance. In this work we show that the requirement for the simultaneous fulfillment of mutual locality of the left-moving vertices of physical states with the space-time symmetry generators and of right-moving vertices with generators of $E(8)\times E(6)$-gauge symmetry, which arises after some special reduction together with the requirement of mutual locality of complete (left-right) vertices of physical states among themselves leads to the same Gepner models.

[ { "created": "Fri, 21 Jun 2024 13:41:16 GMT", "version": "v1" } ]

2024-06-24

[ [ "Belavin", "Alexander", "" ], [ "Parkhomenko", "Sergej", "" ] ]

In Gepner's pioneering work, the requirement that leads to a model having the desired $N=1$ Spacetime supersymmetry and $E(8)\times E(6)$ Gauge symmetry was the requirement that the spacetime symmetry is compatible with modular invariance. In this work we show that the requirement for the simultaneous fulfillment of mutual locality of the left-moving vertices of physical states with the space-time symmetry generators and of right-moving vertices with generators of $E(8)\times E(6)$-gauge symmetry, which arises after some special reduction together with the requirement of mutual locality of complete (left-right) vertices of physical states among themselves leads to the same Gepner models.

12.266935

11.693819

11.867259

11.584772

12.83187

12.331176

11.836464

11.926219

11.082488

13.001903

11.304576

11.335346

11.517315

11.147469

10.75447

11.093625

11.222702

11.444228

10.821954

10.958038

10.911354

2405.18097

Mohammad Javad Vasli

Mohammad Javad Vasli, Komeil Babaei Velni, M. Reza Mohammadi Mozaffar and Ali Mollabashi

Entanglement in Lifshitz Fermion Theories

21 pages, 9 figures

null

IPM/P-2024/17

hep-th cond-mat.stat-mech cond-mat.str-el quant-ph

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

We study the static entanglement structure in (1+1)-dimensional free Dirac-fermion theory with Lifshitz symmetry and arbitrary integer dynamical critical exponent. This model is different from the one introduced in [Hartmann et al., SciPost Phys. 11, no.2, 031 (2021)] due to a proper treatment of the square Laplace operator. Dirac fermion Lifshitz theory is local as opposed to its scalar counterpart which strongly affects its entanglement structure. We show that there is quantum entanglement across arbitrary subregions in various pure (including the vacuum) and mixed states of this theory for arbitrary integer values of the dynamical critical exponent. Our numerical investigations show that quantum entanglement in this theory is tightly bounded from above. Such a bound and other physical properties of quantum entanglement are carefully explained from the correlation structure in these theories. A generalization to (2+1)-dimensions where the entanglement structure is seriously different is addressed.

[ { "created": "Tue, 28 May 2024 12:02:47 GMT", "version": "v1" } ]

2024-05-29

[ [ "Vasli", "Mohammad Javad", "" ], [ "Velni", "Komeil Babaei", "" ], [ "Mozaffar", "M. Reza Mohammadi", "" ], [ "Mollabashi", "Ali", "" ] ]

We study the static entanglement structure in (1+1)-dimensional free Dirac-fermion theory with Lifshitz symmetry and arbitrary integer dynamical critical exponent. This model is different from the one introduced in [Hartmann et al., SciPost Phys. 11, no.2, 031 (2021)] due to a proper treatment of the square Laplace operator. Dirac fermion Lifshitz theory is local as opposed to its scalar counterpart which strongly affects its entanglement structure. We show that there is quantum entanglement across arbitrary subregions in various pure (including the vacuum) and mixed states of this theory for arbitrary integer values of the dynamical critical exponent. Our numerical investigations show that quantum entanglement in this theory is tightly bounded from above. Such a bound and other physical properties of quantum entanglement are carefully explained from the correlation structure in these theories. A generalization to (2+1)-dimensions where the entanglement structure is seriously different is addressed.

10.505677

10.143758

11.83689

10.130286

11.513303

10.299631

11.297236

11.126672

10.514445

11.278394

10.645374

10.128743

10.218156

9.89559

10.194476

10.588287

10.142082

10.026995

10.095008

10.48015

10.295811

hep-th/9511116

Leonard Susskind

Particle Growth and BPS Saturated States

9 pages, phyzzx

Phys. Rev. D 53, 5734 (1996)

10.1103/PhysRevD.53.5734

SU-ITP-95-23

hep-th

null

Consistency of the Bekenstein bound on entropy requires the physical dimensions of particles to grow with momentum as the particle is boosted to transplanckian energies. In this paper the problem of particle growth in heterotic string theory is mapped into a problem involving the properties of BPS saturated black holes as the charge is increased. Explicit calculation based on the black hole solutions of Sen are shown to lead to a growth pattern consistent with the holographic speculation described in earlier work.

[ { "created": "Fri, 17 Nov 1995 01:32:47 GMT", "version": "v1" }, { "created": "Tue, 21 Nov 1995 00:26:02 GMT", "version": "v2" } ]

2016-08-24

[ [ "Susskind", "Leonard", "" ] ]

Consistency of the Bekenstein bound on entropy requires the physical dimensions of particles to grow with momentum as the particle is boosted to transplanckian energies. In this paper the problem of particle growth in heterotic string theory is mapped into a problem involving the properties of BPS saturated black holes as the charge is increased. Explicit calculation based on the black hole solutions of Sen are shown to lead to a growth pattern consistent with the holographic speculation described in earlier work.

17.768049

14.280834

16.238453

14.125325

15.274166

14.837554

14.242341

15.581294

13.93265

14.826589

14.13093

13.018451

14.345694

13.679138

13.979285

14.04635

13.380874

13.831975

13.253367

14.211857

13.614329

hep-th/0603150

Alexander Kaganovich B.

E. I. Guendelman and A. B. Kaganovich

Higgs-Inflaton Symbiosis, Cosmological Constant Problem and Superacceleration Phase of the Universe in Two Measures Field Theory with Spontaneously Broken Scale Invariance

47 pages, 28 figures

null

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

null

We study the scalar sector of the Two Measures Field Theory (TMT) model in the context of cosmological dynamics. The scalar sector includes the inflaton \phi and the Higgs \upsilon fields. The model possesses gauge and scale invariance. The latter is spontaneously broken due to intrinsic features of the TMT dynamics. In the model with the inflaton \phi alone, in different regions of the parameter space the following different effects can take place without fine tuning of the parameters and initial conditions: a) Possibility of resolution of the old cosmological constant problem: this is done in a consistent way hinted by S. Weinberg in his comment concerning the question of how one can avoid his no-go theorem. b) The power law inflation without any fine tuning may end with damped oscillations of $\phi$ around the state with zero cosmological constant. c) There are regions of the parameters where the equation-of-state w=p/\rho in the late time universe is w<-1 and w asymptotically (as t\to\infty) approaches -1 from below. This effect is achieved without any exotic term in the action. In a model with both \phi and \upsilon fields, a scenario which resembles the hybrid inflation is realized but there are essential differences, for example: the Higgs field undergos transition to a gauge symmetry broken phase <\upsilon>\neq 0 soon after the end of a power law inflation; there are two oscillatory regimes of \upsilon, one around \upsilon =0 at 50 e-folding before the end of inflation, another - during transition to a gauge symmetry broken phase where the scalar dark energy density approaches zero without fine tuning; the gauge symmetry breakdown is achieved without tachyonic mass term in the action.

[ { "created": "Mon, 20 Mar 2006 08:37:28 GMT", "version": "v1" } ]

2007-05-23

[ [ "Guendelman", "E. I.", "" ], [ "Kaganovich", "A. B.", "" ] ]

We study the scalar sector of the Two Measures Field Theory (TMT) model in the context of cosmological dynamics. The scalar sector includes the inflaton \phi and the Higgs \upsilon fields. The model possesses gauge and scale invariance. The latter is spontaneously broken due to intrinsic features of the TMT dynamics. In the model with the inflaton \phi alone, in different regions of the parameter space the following different effects can take place without fine tuning of the parameters and initial conditions: a) Possibility of resolution of the old cosmological constant problem: this is done in a consistent way hinted by S. Weinberg in his comment concerning the question of how one can avoid his no-go theorem. b) The power law inflation without any fine tuning may end with damped oscillations of $\phi$ around the state with zero cosmological constant. c) There are regions of the parameters where the equation-of-state w=p/\rho in the late time universe is w<-1 and w asymptotically (as t\to\infty) approaches -1 from below. This effect is achieved without any exotic term in the action. In a model with both \phi and \upsilon fields, a scenario which resembles the hybrid inflation is realized but there are essential differences, for example: the Higgs field undergos transition to a gauge symmetry broken phase <\upsilon>\neq 0 soon after the end of a power law inflation; there are two oscillatory regimes of \upsilon, one around \upsilon =0 at 50 e-folding before the end of inflation, another - during transition to a gauge symmetry broken phase where the scalar dark energy density approaches zero without fine tuning; the gauge symmetry breakdown is achieved without tachyonic mass term in the action.

10.303629

10.841743

9.846869

9.785481

10.362591

9.614016

10.884867

9.689669

10.476243

10.265941

10.631611

10.168997

10.137392

10.054402

10.030493

9.903655

9.992102

9.991163

10.027493

10.18446

10.044172

hep-th/0409128

Lutz Moeller

A symmetry invariant integral on kappa-deformed spacetime

16 pages

JHEP0512:029,2005

10.1088/1126-6708/2005/12/029

LMU-TPW 2004-08; MPP-2004-109

hep-th

null

In this note we present an approach using both constructive and Hopf algebraic methods to contribute to the not yet fully satisfactory definition of an integral on kappa-deformed spacetime. The integral presented here is based on the inner product of differential forms and it is shown that this integral is explicitly invariant under the deformed symmetry structure.

[ { "created": "Mon, 13 Sep 2004 16:11:50 GMT", "version": "v1" }, { "created": "Wed, 20 Jul 2005 07:52:58 GMT", "version": "v2" }, { "created": "Tue, 20 Dec 2005 23:09:48 GMT", "version": "v3" } ]

2008-11-26

[ [ "Moeller", "Lutz", "" ] ]

In this note we present an approach using both constructive and Hopf algebraic methods to contribute to the not yet fully satisfactory definition of an integral on kappa-deformed spacetime. The integral presented here is based on the inner product of differential forms and it is shown that this integral is explicitly invariant under the deformed symmetry structure.

16.119326

13.764496

17.086916

13.795978

15.13725

15.183729

13.494481

13.778762

14.743427

16.040199

13.355118

15.116677

15.143404

14.86758

14.645376

14.776843

13.676379

14.700745

13.591287

15.568234

14.189121

0712.0360

Dmitri Vassilevich

R. A. Konoplya, D. V. Vassilevich

Quantum corrections to the noncommutative kink

18 pages, v2: minor changes

JHEP0801:068,2008

10.1088/1126-6708/2008/01/068

null

hep-th

null

We calculate quantum corrections to the mass of noncommutative phi^4 kink in (1+1) dimensions for intermediate and large values of the noncommutativity parameter theta. All one-loop divergences are removed by a mass renormalization (which is different from the one required in the topologically trivial sector). For large theta quantum corrections to the mass grow linearly with theta signaling about possible break down of the perturbative expansion.

[ { "created": "Mon, 3 Dec 2007 17:56:07 GMT", "version": "v1" }, { "created": "Sun, 13 Jan 2008 19:11:20 GMT", "version": "v2" } ]

2008-11-26

[ [ "Konoplya", "R. A.", "" ], [ "Vassilevich", "D. V.", "" ] ]

We calculate quantum corrections to the mass of noncommutative phi^4 kink in (1+1) dimensions for intermediate and large values of the noncommutativity parameter theta. All one-loop divergences are removed by a mass renormalization (which is different from the one required in the topologically trivial sector). For large theta quantum corrections to the mass grow linearly with theta signaling about possible break down of the perturbative expansion.

7.893564

6.608798

7.79524

6.455153

6.438247

6.001016

6.151869

6.599361

6.554906

8.055532

6.398777

6.501278

7.785277

7.093185

6.650305

6.734495

6.565223

6.814548

6.836667

7.628965

6.993818

hep-th/0002207

Nicolas Regnault

D. Bernard, N. Regnault

Poisson algebra of 2d dimensionally reduced gravity

16 pages, minor corrections. To appear in JHEP

JHEP0005:017,2000

10.1088/1126-6708/2000/05/017

null

hep-th nlin.SI

null

Using a Lax pair based on twisted affine $sl(2,R)$ Kac-Moody and Virasoro algebras, we deduce a r-matrix formulation of two dimensional reduced vacuum Einstein's equations. Whereas the fundamental Poisson brackets are non-ultralocal, they lead to pure c-number modified Yang-Baxter equations. We also describe how to obtain classical observables by imposing reasonable boundaries conditions.

[ { "created": "Thu, 24 Feb 2000 16:38:38 GMT", "version": "v1" }, { "created": "Thu, 4 May 2000 14:54:45 GMT", "version": "v2" } ]

2009-10-31

[ [ "Bernard", "D.", "" ], [ "Regnault", "N.", "" ] ]

Using a Lax pair based on twisted affine $sl(2,R)$ Kac-Moody and Virasoro algebras, we deduce a r-matrix formulation of two dimensional reduced vacuum Einstein's equations. Whereas the fundamental Poisson brackets are non-ultralocal, they lead to pure c-number modified Yang-Baxter equations. We also describe how to obtain classical observables by imposing reasonable boundaries conditions.

18.66502

14.847657

14.777838

14.312903

13.7784

15.753832

14.081803

13.68797

13.846028

18.746229

14.832228

14.48808

13.185233

13.659275

13.896829

14.046257

14.050836

14.185133

13.312185

12.78056

14.169379

2204.01453

Cesar Fosco

C.D. Fosco and F.A. Schaposnik

Induced Chern-Simons term by dimensional reduction

References added

null

10.1103/PhysRevD.105.105023

null

hep-th

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

We derive an induced Abelian Chern-Simons (CS) term in 2+1 dimensions, by dimensional reduction from the finite-temperature theory of a Dirac field with both vector and axial-vector couplings to two Abelian gauge fields, in 3+1 dimensions. In our construction, the CS term emerges for the lowest Matsubara mode of the vector Abelian field, by integrating the fermionic field, under the assumption that the axial vector field is in a "vacuum" configuration. This configuration is characterized by a single number, which in turn determines the coefficient of the induced CS term for the Abelian vector field.

[ { "created": "Mon, 4 Apr 2022 13:15:03 GMT", "version": "v1" }, { "created": "Thu, 19 May 2022 18:49:09 GMT", "version": "v2" } ]

2022-06-08

[ [ "Fosco", "C. D.", "" ], [ "Schaposnik", "F. A.", "" ] ]

We derive an induced Abelian Chern-Simons (CS) term in 2+1 dimensions, by dimensional reduction from the finite-temperature theory of a Dirac field with both vector and axial-vector couplings to two Abelian gauge fields, in 3+1 dimensions. In our construction, the CS term emerges for the lowest Matsubara mode of the vector Abelian field, by integrating the fermionic field, under the assumption that the axial vector field is in a "vacuum" configuration. This configuration is characterized by a single number, which in turn determines the coefficient of the induced CS term for the Abelian vector field.

6.870008

6.418561

7.120544

6.628475

6.53156

6.471234

6.374407

6.361757

6.128211

7.830828

6.294476

6.33571

6.671978

6.376701

6.367199

6.462661

6.327755

6.410514

6.589416

6.848326

6.612409

2308.05623

Elizabeth Winstanley

Thomas Morley, Sivakumar Namasivayam and Elizabeth Winstanley

Renormalized stress-energy tensor on global anti-de Sitter space-time with Robin boundary conditions

18 pages, 7 figures, minor changes, version accepted for publication

null

hep-th gr-qc

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

We study the renormalized stress-energy tensor (RSET) for a massless, conformally coupled scalar field on global anti-de Sitter space-time in four dimensions. Robin (mixed) boundary conditions are applied to the scalar field. We compute both the vacuum and thermal expectation values of the RSET. The vacuum RSET is a multiple of the space-time metric when either Dirichlet or Neumann boundary conditions are applied. Imposing Robin boundary conditions breaks the maximal symmetry of the vacuum state and results in an RSET whose components with mixed indices have their maximum (or maximum magnitude) at the space-time origin. The value of this maximum depends on the boundary conditions. We find similar behaviour for thermal states. As the temperature decreases, thermal expectation values of the RSET approach those for vacuum states and their values depend strongly on the boundary conditions. As the temperature increases, the values of the RSET components tend to profiles which are the same for all boundary conditions. We also find, for both vacuum and thermal states, that the RSET on the space-time boundary is independent of the boundary conditions and determined entirely by the trace anomaly.

[ { "created": "Thu, 10 Aug 2023 15:12:20 GMT", "version": "v1" }, { "created": "Mon, 15 Apr 2024 14:31:21 GMT", "version": "v2" } ]

2024-04-16

[ [ "Morley", "Thomas", "" ], [ "Namasivayam", "Sivakumar", "" ], [ "Winstanley", "Elizabeth", "" ] ]

We study the renormalized stress-energy tensor (RSET) for a massless, conformally coupled scalar field on global anti-de Sitter space-time in four dimensions. Robin (mixed) boundary conditions are applied to the scalar field. We compute both the vacuum and thermal expectation values of the RSET. The vacuum RSET is a multiple of the space-time metric when either Dirichlet or Neumann boundary conditions are applied. Imposing Robin boundary conditions breaks the maximal symmetry of the vacuum state and results in an RSET whose components with mixed indices have their maximum (or maximum magnitude) at the space-time origin. The value of this maximum depends on the boundary conditions. We find similar behaviour for thermal states. As the temperature decreases, thermal expectation values of the RSET approach those for vacuum states and their values depend strongly on the boundary conditions. As the temperature increases, the values of the RSET components tend to profiles which are the same for all boundary conditions. We also find, for both vacuum and thermal states, that the RSET on the space-time boundary is independent of the boundary conditions and determined entirely by the trace anomaly.

6.023019

6.228714

6.190889

5.445837

6.20907

6.570894

6.752956

6.13435

6.456505

6.750041

6.340981

6.153117

6.001441

5.882983

6.116082

6.073877

6.111649

5.7086

6.050934

5.931427

6.006171

hep-th/9911089

Euro Spallucci

A.Smailagic, E. Spallucci

Duality of massive gauge invariant theories in arbitrary space-time dimension

ReVTeX 7pages, no figures, accepted for publ. in Phys.Rev.D

Phys.Rev. D61 (2000) 067701

10.1103/PhysRevD.61.067701

null

hep-th

null

We show that dualization of Stueckelberg-like massive gauge theories and $B\wedge F$ models, follows form a general p-dualization of interacting theories in d spacetime dimensions. This is achieved by a particular choice of the external current.

[ { "created": "Fri, 12 Nov 1999 09:07:24 GMT", "version": "v1" } ]

2009-10-31

[ [ "Smailagic", "A.", "" ], [ "Spallucci", "E.", "" ] ]

We show that dualization of Stueckelberg-like massive gauge theories and $B\wedge F$ models, follows form a general p-dualization of interacting theories in d spacetime dimensions. This is achieved by a particular choice of the external current.

22.434582

15.441897

21.131632

17.771265

19.076841

18.410238

17.753185

16.177572

17.085047

24.587732

15.898847

18.500933

20.080477

19.161024

18.543907

18.721693

18.004967

19.049114

18.947872

20.284092

17.489103

hep-th/9403150

Fiorenzo Bastianelli

Fiorenzo Bastianelli, Nobuyoshi Ohta and Jens Lyng Petersen

A Hierarchy of Superstrings

9 pages, LaTex, NBI-HE-94-20

Phys.Rev.Lett. 73 (1994) 1199-1202

10.1103/PhysRevLett.73.1199

null

hep-th

null

We construct a hierarchy of supersymmetric string theories by showing that the general N-extended superstrings may be viewed as a special class of the (N+1)-extended superstrings. As a side result, we find a twisted (N+2) superconformal algebra realized in the N-extended string.

[ { "created": "Thu, 24 Mar 1994 13:47:23 GMT", "version": "v1" } ]

2009-10-28

[ [ "Bastianelli", "Fiorenzo", "" ], [ "Ohta", "Nobuyoshi", "" ], [ "Petersen", "Jens Lyng", "" ] ]

We construct a hierarchy of supersymmetric string theories by showing that the general N-extended superstrings may be viewed as a special class of the (N+1)-extended superstrings. As a side result, we find a twisted (N+2) superconformal algebra realized in the N-extended string.

10.131291

8.195186

11.637819

8.687132

8.479316

7.500308

8.270292

8.530192

8.429403

12.275286

8.788384

8.825163

11.459294

9.30184

9.467151

9.228713

9.211031

9.38608

9.680421

11.16735

9.270251

0906.0591

Juan Maldacena

Juan Maldacena and Dario Martelli

The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory

41 pages, 7 figures

null

10.1007/JHEP01(2010)104

null

hep-th

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

We study a gravity solution corresponding to fivebranes wrapped on the $S^2$ of the resolved conifold. By changing a parameter the solution continuously interpolates between the deformed conifold with flux and the resolved conifold with branes. Therefore, it displays a geometric transition, purely in the supergravity context. The solution is a simple example of torsional geometry and may be thought of as a non-K\"ahler analog of the conifold. By U-duality transformations we can add D3 brane charge and recover the solution in the form originally derived by Butti et al. This describes the baryonic branch of the Klebanov-Strassler theory. Far along the baryonic branch the field theory gives rise to a fuzzy two-sphere. This corresponds to the D5 branes wrapping the two-sphere of the resolved conifold in the gravity solution.

[ { "created": "Tue, 2 Jun 2009 20:16:57 GMT", "version": "v1" }, { "created": "Wed, 9 Dec 2009 09:49:04 GMT", "version": "v2" } ]

2015-05-13

[ [ "Maldacena", "Juan", "" ], [ "Martelli", "Dario", "" ] ]

We study a gravity solution corresponding to fivebranes wrapped on the $S^2$ of the resolved conifold. By changing a parameter the solution continuously interpolates between the deformed conifold with flux and the resolved conifold with branes. Therefore, it displays a geometric transition, purely in the supergravity context. The solution is a simple example of torsional geometry and may be thought of as a non-K\"ahler analog of the conifold. By U-duality transformations we can add D3 brane charge and recover the solution in the form originally derived by Butti et al. This describes the baryonic branch of the Klebanov-Strassler theory. Far along the baryonic branch the field theory gives rise to a fuzzy two-sphere. This corresponds to the D5 branes wrapping the two-sphere of the resolved conifold in the gravity solution.

8.363203

6.686882

10.458131

6.870499

7.127017

7.019584

6.455405

6.835291

6.861011

10.225006

6.931933

7.497501

8.419086

7.778151

7.594334

7.534313

7.829053

7.743166

7.721685

8.303339

7.703993

2008.10302

Ulf Lindstr\"om

P.S. Howe and U. Lindstr\"om

Local supertwistors and conformal supergravity in six dimensions

20 pages

null

10.1098/rspa.2020.0683

Uppsala University: UUITP-28/20, Imperial College: Imperial-TP-2020-UL-03

hep-th math.DG

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

The local supertwistor formalism, which involves a superconformal connection acting on the bundle of such objects over superspace, is used to investigate superconformal geometry in six dimensions. The geometry corresponding to (1, 0) and (2, 0) off-shell conformal supergravity multiplets, as well the associated finite super-Weyl transformations, are derived.

[ { "created": "Mon, 24 Aug 2020 10:16:32 GMT", "version": "v1" } ]

2021-03-17

[ [ "Howe", "P. S.", "" ], [ "Lindström", "U.", "" ] ]

The local supertwistor formalism, which involves a superconformal connection acting on the bundle of such objects over superspace, is used to investigate superconformal geometry in six dimensions. The geometry corresponding to (1, 0) and (2, 0) off-shell conformal supergravity multiplets, as well the associated finite super-Weyl transformations, are derived.

10.178165

8.364859

10.218904

8.066858

8.232725

8.110058

8.358361

8.614028

7.714373

9.419353

7.535999

8.133005

9.339154

8.241596

8.094759

8.378711

7.843587

7.970411

8.086769

9.743913

8.138713

hep-th/9602057

Parthasarathi Mitra

A. Ghosh and P. Mitra

Entropy of Extremal Dyonic Black Holes

8 pages, LATEX; it is pointed out that the classical action vanishes

Mod.Phys.Lett. A11 (1996) 2933-2940

10.1142/S0217732396002903

SINP/TNP/96-02

hep-th

null

For extremal charged black holes, the thermodynamic entropy is proportional not to the area but to the mass or charges. This is demonstrated here for dyonic extremal black hole solutions of string theory. It is pointed out that these solutions have zero classical action although the area is nonzero. By combining the general form of the entropy allowed by thermodynamics with recent observations in the literature it is possible to fix the entropy almost completely.

[ { "created": "Mon, 12 Feb 1996 10:11:28 GMT", "version": "v1" }, { "created": "Thu, 4 Apr 1996 10:14:58 GMT", "version": "v2" }, { "created": "Fri, 2 Aug 1996 11:58:54 GMT", "version": "v3" } ]

2009-10-30

[ [ "Ghosh", "A.", "" ], [ "Mitra", "P.", "" ] ]

For extremal charged black holes, the thermodynamic entropy is proportional not to the area but to the mass or charges. This is demonstrated here for dyonic extremal black hole solutions of string theory. It is pointed out that these solutions have zero classical action although the area is nonzero. By combining the general form of the entropy allowed by thermodynamics with recent observations in the literature it is possible to fix the entropy almost completely.

14.720297

12.155074

12.561263

11.571898

11.735065

11.001997

13.630588

12.180498

11.621192

13.51941

12.652254

11.744852

12.57187

11.303854

11.18299

11.092815

11.043212

11.407428

11.334944

12.789845

11.951019

1407.6195

Yu Nakayama

Yu Nakayama and Tomoki Ohtsuki

Bootstrapping phase transitions in QCD and frustrated spin systems

4 pages with reference, v2: reference added, a plot improved

null

10.1103/PhysRevD.91.021901

IPMU14-0187

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

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

In view of its physical importance in predicting the order of chiral phase transitions in QCD and frustrated spin systems, we perform the conformal bootstrap program of $O(n)\times O(2)$-symmetric conformal field theories in $d=3$ dimensions with a special focus on $n=3$ and $4$. The existence of renormalization group fixed points with these symmetries has been controversial over years, but our conformal bootstrap program provides the non-perturbative evidence. In both $n=3$ and $4$ cases, we find singular behaviors in the bounds of scaling dimensions of operators in two different sectors, which we claim correspond to chiral and collinear fixed points, respectively. In contrast to the cases with larger values of $n$, we find no evidence for the anti-chiral fixed point. Our results indicate the possibility that the chiral phase transitions in QCD and frustrated spin systems are continuous with the critical exponents that we predict from the conformal bootstrap program.

[ { "created": "Wed, 23 Jul 2014 12:31:30 GMT", "version": "v1" }, { "created": "Mon, 11 Aug 2014 03:32:11 GMT", "version": "v2" } ]

2015-06-22

[ [ "Nakayama", "Yu", "" ], [ "Ohtsuki", "Tomoki", "" ] ]

In view of its physical importance in predicting the order of chiral phase transitions in QCD and frustrated spin systems, we perform the conformal bootstrap program of $O(n)\times O(2)$-symmetric conformal field theories in $d=3$ dimensions with a special focus on $n=3$ and $4$. The existence of renormalization group fixed points with these symmetries has been controversial over years, but our conformal bootstrap program provides the non-perturbative evidence. In both $n=3$ and $4$ cases, we find singular behaviors in the bounds of scaling dimensions of operators in two different sectors, which we claim correspond to chiral and collinear fixed points, respectively. In contrast to the cases with larger values of $n$, we find no evidence for the anti-chiral fixed point. Our results indicate the possibility that the chiral phase transitions in QCD and frustrated spin systems are continuous with the critical exponents that we predict from the conformal bootstrap program.

6.112907

5.993519

6.82122

5.941257

6.157154

6.122025

5.942137

6.211006

5.9661

7.228151

5.909174

5.975953

6.330182

5.824282

5.964937

5.985022

5.975446

5.889981

5.875721

6.309764

5.944965

1303.5506

Kiyoshi Kamimura

Kiyoshi Kamimura and Seiji Onda

Contractions of AdS brane algebra and superGalileon Lagrangians

20pages, no figure, addition of comments in v2

null

10.1063/1.4810765

null

hep-th gr-qc

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

We examine AdS Galileon Lagrangians using the method of non-linear realization. By contractions 1) flat curvature limit and 2) non-relativistic brane algebra limit and 3) (1)+(2) limits we obtain DBI, Newton-Hoock and Galilean Galileons respectively. We make clear how these Lagrangians appear as invariant 4-forms and/or pseudo-invariant Wess-Zumino terms using Maurer-Cartan equations on the coset $G/SO(3,1)$. We show the equations of motion are written in terms of the MC forms only and explain why the inverse Higgs condition is obtained as the equation of motion for all cases. The supersymmetric extension is also examined using SU(2,2|1)/(SO(3,1)x U(1)) supercoset and five WZ forms are constructed. They are reduced to the corresponding five Galileon WZ forms in the bosonic limit and are candidates of for supersymmetric Galileon.

[ { "created": "Fri, 22 Mar 2013 02:55:21 GMT", "version": "v1" }, { "created": "Mon, 3 Jun 2013 01:44:45 GMT", "version": "v2" } ]

2015-06-15

[ [ "Kamimura", "Kiyoshi", "" ], [ "Onda", "Seiji", "" ] ]

We examine AdS Galileon Lagrangians using the method of non-linear realization. By contractions 1) flat curvature limit and 2) non-relativistic brane algebra limit and 3) (1)+(2) limits we obtain DBI, Newton-Hoock and Galilean Galileons respectively. We make clear how these Lagrangians appear as invariant 4-forms and/or pseudo-invariant Wess-Zumino terms using Maurer-Cartan equations on the coset $G/SO(3,1)$. We show the equations of motion are written in terms of the MC forms only and explain why the inverse Higgs condition is obtained as the equation of motion for all cases. The supersymmetric extension is also examined using SU(2,2|1)/(SO(3,1)x U(1)) supercoset and five WZ forms are constructed. They are reduced to the corresponding five Galileon WZ forms in the bosonic limit and are candidates of for supersymmetric Galileon.

12.13302

11.219179

13.597915

11.722021

14.073587

13.264115

13.21246

12.47294

12.744308

14.77479

11.707092

11.770169

12.197133

11.312721

11.455913

12.027664

11.996096

11.686235

11.7839

11.661982

11.434418

hep-th/9409008

Liu Qing-ping

Q.P. Liu

Darboux Transformations for Supersymmetric Korteweg - de Vries Equations

Latex, 8 pages AS-ITP-94-41

Lett.Math.Phys. 35 (1995) 115-122

10.1007/BF00750761

null

hep-th

null

\hspace{.2in}We consider the Darboux type transformations for the spectral problems of supersymmetric KdV systems. The supersymmetric analogies of Darboux and Darboux-Levi transformations are established for the spectral problems of Manin-Radul-Mathieu sKdV and Manin-Radul sKdV. Several B\"acklund transformations are derived for the MRM sKdV and MR sKdV systems.

[ { "created": "Fri, 2 Sep 1994 13:44:47 GMT", "version": "v1" } ]

2009-10-28

[ [ "Liu", "Q. P.", "" ] ]

\hspace{.2in}We consider the Darboux type transformations for the spectral problems of supersymmetric KdV systems. The supersymmetric analogies of Darboux and Darboux-Levi transformations are established for the spectral problems of Manin-Radul-Mathieu sKdV and Manin-Radul sKdV. Several B\"acklund transformations are derived for the MRM sKdV and MR sKdV systems.

6.670378

9.12872

8.251273

6.876096

7.487905

8.905121

9.713573

8.123118

8.045432

9.249199

8.045622

7.05372

7.408704

6.555969

6.494298

6.436478

8.076017

6.76473

6.559086

7.063726

6.355289

hep-th/9701152

Mirjam Cvetic

Mirjam Cvetic (University of Pennsylvania)

Properties of Black Holes in Toroidally Compactified String Theory

10 pages, Latex, uses espcrc2.sty; compilation of talks given at SUSY'96, CERN Workshop on Duality in String Theory II, Strings'96, and Buckow'96

Nucl.Phys.Proc.Suppl.56B:1-10,1997

10.1016/S0920-5632(97)00303-4

UPR-714-T

hep-th

null

We review the macroscopic and microscopic properties of black holes of toroidally compactified heterotic and Type II string theory in dimensions 4<=D<=9. General charged rotating black hole solutions are obtained by acting on a generating solution with classical duality symmetries. In D=4, D=5 and 6<=D<=9, the generating solution for both toroidally compactified Type II and heterotic strings is specified by the ADM mass, [(D-1)/2]-angular momentum components and five, three and two charges, respectively. We give the Bekenstein-Hawking entropy for these solutions, address the BPS-saturated limit and compare the results to calculations of the microscopic entropy both in the NS-NS sector and the R-R sector of the theory. We also interpret such black hole solutions as dimensionally reduced intersecting p-branes of M-theory.

[ { "created": "Tue, 28 Jan 1997 00:49:18 GMT", "version": "v1" } ]

2009-10-30

[ [ "Cvetic", "Mirjam", "", "University of Pennsylvania" ] ]

We review the macroscopic and microscopic properties of black holes of toroidally compactified heterotic and Type II string theory in dimensions 4<=D<=9. General charged rotating black hole solutions are obtained by acting on a generating solution with classical duality symmetries. In D=4, D=5 and 6<=D<=9, the generating solution for both toroidally compactified Type II and heterotic strings is specified by the ADM mass, [(D-1)/2]-angular momentum components and five, three and two charges, respectively. We give the Bekenstein-Hawking entropy for these solutions, address the BPS-saturated limit and compare the results to calculations of the microscopic entropy both in the NS-NS sector and the R-R sector of the theory. We also interpret such black hole solutions as dimensionally reduced intersecting p-branes of M-theory.

7.420334

6.352939

8.58216

6.427835

6.376162

6.305955

6.188241

6.116819

6.53348

8.529534

6.697036

6.857955

7.49957

7.01547

6.985021

6.852798

6.894563

6.824024

6.979678

7.650268

6.914747

1011.4296

Maxime Gabella

Maxime Gabella, James Sparks

Generalized Geometry in AdS/CFT and Volume Minimization

70 pages, 4 figures

Nucl.Phys.B861:53-103,2012

10.1016/j.nuclphysb.2012.03.012

null

hep-th math.DG

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

We study the general structure of the AdS_5/CFT_4 correspondence in type IIB string theory from the perspective of generalized geometry. We begin by defining a notion of "generalized Sasakian geometry," which consists of a contact structure together with a differential system for three symplectic forms on the four-dimensional transverse space to the Reeb vector field. A generalized Sasakian manifold which satisfies an additional "Einstein" condition provides a general supersymmetric AdS_5 solution of type IIB supergravity with fluxes. We then show that the supergravity action restricted to a space of generalized Sasakian structures is simply the contact volume, and that its minimization determines the Reeb vector field for such a solution. We conjecture that this contact volume is equal to the inverse of the trial central charge whose maximization determines the R-symmetry of any four-dimensional N=1 superconformal field theory. This variational procedure allows us to compute the contact volumes for a predicted infinite family of solutions, and we find perfect agreement with the central charges and R-charges of BPS operators in the dual mass-deformed generalized conifold theories.

[ { "created": "Thu, 18 Nov 2010 21:00:04 GMT", "version": "v1" } ]

2015-05-20

[ [ "Gabella", "Maxime", "" ], [ "Sparks", "James", "" ] ]

We study the general structure of the AdS_5/CFT_4 correspondence in type IIB string theory from the perspective of generalized geometry. We begin by defining a notion of "generalized Sasakian geometry," which consists of a contact structure together with a differential system for three symplectic forms on the four-dimensional transverse space to the Reeb vector field. A generalized Sasakian manifold which satisfies an additional "Einstein" condition provides a general supersymmetric AdS_5 solution of type IIB supergravity with fluxes. We then show that the supergravity action restricted to a space of generalized Sasakian structures is simply the contact volume, and that its minimization determines the Reeb vector field for such a solution. We conjecture that this contact volume is equal to the inverse of the trial central charge whose maximization determines the R-symmetry of any four-dimensional N=1 superconformal field theory. This variational procedure allows us to compute the contact volumes for a predicted infinite family of solutions, and we find perfect agreement with the central charges and R-charges of BPS operators in the dual mass-deformed generalized conifold theories.

7.832165

8.512712

8.446931

7.793196

8.40559

8.007792

8.43868

7.902435

7.537612

9.931095

7.983374

7.872489

8.20439

7.545868

7.893375

7.928089

7.775856

7.959636

7.705156

8.106455

7.74398

1302.5362

Fabiano M. Andrade

E. O. Silva and F. M. Andrade

Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background

Matches published version

Europhysics Letters 101, 51005 (2013)

10.1209/0295-5075/101/51005

null

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

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

The Aharonov-Casher problem in the presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field is examined. Using an approach based on the self-adjoint extension method, an expression for the bound state energies is obtained in terms of the physics of the problem by determining the self-adjoint extension parameter.

[ { "created": "Thu, 21 Feb 2013 18:19:02 GMT", "version": "v1" }, { "created": "Fri, 22 Feb 2013 02:14:13 GMT", "version": "v2" }, { "created": "Thu, 21 Mar 2013 00:39:31 GMT", "version": "v3" } ]

2013-03-22

[ [ "Silva", "E. O.", "" ], [ "Andrade", "F. M.", "" ] ]

The Aharonov-Casher problem in the presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field is examined. Using an approach based on the self-adjoint extension method, an expression for the bound state energies is obtained in terms of the physics of the problem by determining the self-adjoint extension parameter.

7.375697

4.909777

6.908442

5.666366

5.41864

5.156196

5.135462

5.068564

5.156826

7.139079

5.995615

6.499564

7.381908

6.459995

6.250383

6.439069

6.590479

6.316882

6.526919

7.247495

6.244165

1612.02005

Ioannis Papadimitriou

Johanna Erdmenger, Carlos Hoyos, Andy O'Bannon, Ioannis Papadimitriou, Jonas Probst, Jackson M. S. Wu

Two-point Functions in a Holographic Kondo Model

65 pages, 17 figures; v2 minor improvements. Version published in JHEP

JHEP 1703 (2017) 039

10.1007/JHEP03(2017)039

OUTP-16-27P, SISSA 61/2016/FISI, FPAUO-16/16

hep-th

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

We develop the formalism of holographic renormalization to compute two-point functions in a holographic Kondo model. The model describes a $(0+1)$-dimensional impurity spin of a gauged $SU(N)$ interacting with a $(1+1)$-dimensional, large-$N$, strongly-coupled Conformal Field Theory (CFT). We describe the impurity using Abrikosov pseudo-fermions, and define an $SU(N)$-invariant scalar operator $\mathcal{O}$ built from a pseudo-fermion and a CFT fermion. At large $N$ the Kondo interaction is of the form $\mathcal{O}^{\dagger} \mathcal{O}$, which is marginally relevant, and generates a Renormalization Group (RG) flow at the impurity. A second-order mean-field phase transition occurs in which $\mathcal{O}$ condenses below a critical temperature, leading to the Kondo effect, including screening of the impurity. Via holography, the phase transition is dual to holographic superconductivity in $(1+1)$-dimensional Anti-de Sitter space. At all temperatures, spectral functions of $\mathcal{O}$ exhibit a Fano resonance, characteristic of a continuum of states interacting with an isolated resonance. In contrast to Fano resonances observed for example in quantum dots, our continuum and resonance arise from a $(0+1)$-dimensional UV fixed point and RG flow, respectively. In the low-temperature phase, the resonance comes from a pole in the Green's function of the form $-i \langle {\cal O} \rangle^2$, which is characteristic of a Kondo resonance.

[ { "created": "Tue, 6 Dec 2016 21:00:04 GMT", "version": "v1" }, { "created": "Wed, 22 Mar 2017 19:08:18 GMT", "version": "v2" } ]

2017-03-24

[ [ "Erdmenger", "Johanna", "" ], [ "Hoyos", "Carlos", "" ], [ "O'Bannon", "Andy", "" ], [ "Papadimitriou", "Ioannis", "" ], [ "Probst", "Jonas", "" ], [ "Wu", "Jackson M. S.", "" ] ]

We develop the formalism of holographic renormalization to compute two-point functions in a holographic Kondo model. The model describes a $(0+1)$-dimensional impurity spin of a gauged $SU(N)$ interacting with a $(1+1)$-dimensional, large-$N$, strongly-coupled Conformal Field Theory (CFT). We describe the impurity using Abrikosov pseudo-fermions, and define an $SU(N)$-invariant scalar operator $\mathcal{O}$ built from a pseudo-fermion and a CFT fermion. At large $N$ the Kondo interaction is of the form $\mathcal{O}^{\dagger} \mathcal{O}$, which is marginally relevant, and generates a Renormalization Group (RG) flow at the impurity. A second-order mean-field phase transition occurs in which $\mathcal{O}$ condenses below a critical temperature, leading to the Kondo effect, including screening of the impurity. Via holography, the phase transition is dual to holographic superconductivity in $(1+1)$-dimensional Anti-de Sitter space. At all temperatures, spectral functions of $\mathcal{O}$ exhibit a Fano resonance, characteristic of a continuum of states interacting with an isolated resonance. In contrast to Fano resonances observed for example in quantum dots, our continuum and resonance arise from a $(0+1)$-dimensional UV fixed point and RG flow, respectively. In the low-temperature phase, the resonance comes from a pole in the Green's function of the form $-i \langle {\cal O} \rangle^2$, which is characteristic of a Kondo resonance.

4.830655

5.482162

5.306734

4.927241

5.113649

5.340327

5.213606

5.15454

5.00234

5.771681

5.029546

4.740544

5.06168

4.850598

4.802221

4.908584

4.793134

4.825543

4.775285

5.055359

4.804636

1406.0639

Perivolaropoulos Leandros

Nikos Platis, Ioannis Antoniou, Leandros Perivolaropoulos

Dilatonic Topological Defects in 3+1 Dimensions and their Embeddings

13 pages, 15 figures. Accepted in Phys. Rev. D (to appear). arXiv admin note: text overlap with arXiv:hep-ph/9904229 by other authors

null

10.1103/PhysRevD.89.123510

null

hep-th astro-ph.CO

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

We consider Lagrangians in 3+1 dimensions admitting topological defects where there is an additional coupling between the defect scalar field $\Phi$ and the gauge field kinetic term (eg $B(\vert \Phi \vert^2) F_{\mu \nu}F^{\mu \nu}$). Such a {\it dilatonic} coupling in the context of a static defect, induces a spatially dependent effective gauge charge and effective mass for the scalar field which leads to modified properties of the defect core. In particular, the scale of the core gets modified while the stability properties of the corresponding embedded defects are also affected. These modifications are illustrated for gauged (Nielsen-Olesen) vortices and for gauged ('t Hooft-Polyakov) monopoles. The corresponding dilatonic global defects are also studied in the presence of an external gauge field.

[ { "created": "Tue, 3 Jun 2014 09:28:13 GMT", "version": "v1" } ]

2015-06-19

[ [ "Platis", "Nikos", "" ], [ "Antoniou", "Ioannis", "" ], [ "Perivolaropoulos", "Leandros", "" ] ]

We consider Lagrangians in 3+1 dimensions admitting topological defects where there is an additional coupling between the defect scalar field $\Phi$ and the gauge field kinetic term (eg $B(\vert \Phi \vert^2) F_{\mu \nu}F^{\mu \nu}$). Such a {\it dilatonic} coupling in the context of a static defect, induces a spatially dependent effective gauge charge and effective mass for the scalar field which leads to modified properties of the defect core. In particular, the scale of the core gets modified while the stability properties of the corresponding embedded defects are also affected. These modifications are illustrated for gauged (Nielsen-Olesen) vortices and for gauged ('t Hooft-Polyakov) monopoles. The corresponding dilatonic global defects are also studied in the presence of an external gauge field.

8.747335

9.22688

8.138359

8.34

9.400412

9.146356

9.674631

8.513033

8.907732

9.226264

8.468658

8.688457

8.29388

8.265494

8.298447

8.745459

8.441817

8.29738

8.133461

8.306454

8.126518

hep-th/0102179

Je-An Gu

Je-An Gu, W-Y. P. Hwang (Taiwan, National Taiwan U.)

Spontaneous Symmetry Breaking in the Space-time of an Arbitrary Dimension

13 pages, 2 figures, LaTeX

Mod.Phys.Lett.A17:1979-1990,2002

10.1142/S0217732302008551

null

hep-th gr-qc

null

We propose a new scenario to implement spontaneous symmetry breaking in the space-time of an arbitrary dimension (D>2) by introducing the non-minimal coupling between the scalar field and the gravity. In this scenario, the usage of the familiar lambda Phi ^4 term, which is non-renormalizable for D >= 5, can be avoided altogether.

[ { "created": "Mon, 26 Feb 2001 21:10:34 GMT", "version": "v1" }, { "created": "Tue, 6 Mar 2001 21:00:58 GMT", "version": "v2" }, { "created": "Mon, 19 Mar 2001 20:12:29 GMT", "version": "v3" } ]

2014-11-18

[ [ "Gu", "Je-An", "", "Taiwan, National Taiwan U." ], [ "Hwang", "W-Y. P.", "", "Taiwan, National Taiwan U." ] ]

We propose a new scenario to implement spontaneous symmetry breaking in the space-time of an arbitrary dimension (D>2) by introducing the non-minimal coupling between the scalar field and the gravity. In this scenario, the usage of the familiar lambda Phi ^4 term, which is non-renormalizable for D >= 5, can be avoided altogether.

11.525126

9.077291

9.445593

9.218043

10.246667

8.986293

9.159059

9.820439

9.467374

11.185345

9.851301

10.288793

10.50272

10.096957

10.27476

10.039391

10.479408

9.971657

10.135164

9.580768

10.219539

2206.08865

Peter Millington

Peter Millington, Paul M. Saffin

Vertex functions and their flow equations from the 2PI effective action

16 pages, revtex format; corrections in line with the published version

J. Phys. A: Math. Theor. 55 (2022) 435402

10.1088/1751-8121/ac99ae

null

hep-th

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

By exploiting the convexity of the two-particle-irreducible (2PI) effective action, we describe a procedure for extracting n-point vertex functions. This procedure is developed within the context of a zero-dimensional "quantum field theory" and subsequently extended to higher dimensions. These results extend the practicability and utility of a recent, alternative approach to the functional renormalization group programme [see arXiv:1907.06503; arXiv:2107.12914], and clarify the relationship between the flow equations for coupling parameters and vertices.

[ { "created": "Fri, 17 Jun 2022 16:09:56 GMT", "version": "v1" }, { "created": "Mon, 21 Nov 2022 14:28:49 GMT", "version": "v2" } ]

2022-11-22

[ [ "Millington", "Peter", "" ], [ "Saffin", "Paul M.", "" ] ]

By exploiting the convexity of the two-particle-irreducible (2PI) effective action, we describe a procedure for extracting n-point vertex functions. This procedure is developed within the context of a zero-dimensional "quantum field theory" and subsequently extended to higher dimensions. These results extend the practicability and utility of a recent, alternative approach to the functional renormalization group programme [see arXiv:1907.06503; arXiv:2107.12914], and clarify the relationship between the flow equations for coupling parameters and vertices.

11.823036

10.694031

10.413615

9.628527

9.990446

10.687836

11.335419

10.469631

9.967672

12.808368

10.568402

10.55806

10.562819

10.045137

10.436196

10.644588

10.676371

10.640771

10.155848

10.971009

10.217592

hep-th/0209227

Gregory Gabadadze

Nima Arkani-Hamed, Savas Dimopoulos, Gia Dvali, Gregory Gabadadze

Non-Local Modification of Gravity and the Cosmological Constant Problem

22 pages

null

HUTP-02/A047; Stanford-ITP-02-37; NYU-TH/02/09/10; CERN-TH/2002-247

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

null

We propose a phenomenological approach to the cosmological constant problem based on generally covariant non-local and acausal modifications of four-dimensional gravity at enormous distances. The effective Newton constant becomes very small at large length scales, so that sources with immense wavelengths and periods -- such as the vacuum energy-- produce minuscule curvature. Conventional astrophysics, cosmology and standard inflationary scenaria are unaffected, as they involve shorter length scales. A new possibility emerges that inflation may ``self-terminate'' naturally by its own action of stretching wavelengths to enormous sizes. In a simple limit our proposal leads to a modification of Einstein's equation by a single additional term proportional to the average space-time curvature of the Universe. It may also have a qualitative connection with the dS/CFT conjecture.

[ { "created": "Thu, 26 Sep 2002 18:55:07 GMT", "version": "v1" } ]

2007-05-23

[ [ "Arkani-Hamed", "Nima", "" ], [ "Dimopoulos", "Savas", "" ], [ "Dvali", "Gia", "" ], [ "Gabadadze", "Gregory", "" ] ]

We propose a phenomenological approach to the cosmological constant problem based on generally covariant non-local and acausal modifications of four-dimensional gravity at enormous distances. The effective Newton constant becomes very small at large length scales, so that sources with immense wavelengths and periods -- such as the vacuum energy-- produce minuscule curvature. Conventional astrophysics, cosmology and standard inflationary scenaria are unaffected, as they involve shorter length scales. A new possibility emerges that inflation may ``self-terminate'' naturally by its own action of stretching wavelengths to enormous sizes. In a simple limit our proposal leads to a modification of Einstein's equation by a single additional term proportional to the average space-time curvature of the Universe. It may also have a qualitative connection with the dS/CFT conjecture.

15.546768

15.495092

15.950456

14.797154

17.086668

15.958512

15.473126

14.43639

14.434126

16.296289

15.306231

14.549134

15.608757

14.903818

14.893042

15.303569

14.725974

14.986767

15.358593

15.316836

14.779412

hep-th/0310214

Silvia Penati sp

Marcus T. Grisaru, Liuba Mazzanti, Silvia Penati, Laura Tamassia

Some properties of the integrable noncommutative sine-Gordon system

14 pages, 3 figures, LaTeX file. Some references added. One figure changed and comments added in conclusion

JHEP 0404 (2004) 057

10.1088/1126-6708/2004/04/057

Bicocca-FT-03-30, FNT/T-2003/11

hep-th

null

In this paper we continue the program, initiated in Ref. hep-th/0112246, to investigate an integrable noncommutative version of the sine-Gordon model. We discuss the origin of the extra constraint which the field function has to satisfy in order to guarantee classical integrability. We show that the system of constraint plus dynamical equation of motion can be obtained by a suitable reduction of a noncommutative version of 4d self-dual Yang-Mills theory. The field equations can be derived from an action which is the sum of two WZNW actions with cosine potentials corresponding to a complexified noncommutative U(1) gauge group. A brief discussion of the relation with the bosonized noncommutative Thirring model is given. In spite of integrability we show that the S-matrix is acasual and particle production takes place.

[ { "created": "Thu, 23 Oct 2003 08:16:47 GMT", "version": "v1" }, { "created": "Fri, 19 Dec 2003 14:19:06 GMT", "version": "v2" }, { "created": "Fri, 29 Oct 2004 09:22:24 GMT", "version": "v3" } ]

2009-11-10

[ [ "Grisaru", "Marcus T.", "" ], [ "Mazzanti", "Liuba", "" ], [ "Penati", "Silvia", "" ], [ "Tamassia", "Laura", "" ] ]

In this paper we continue the program, initiated in Ref. hep-th/0112246, to investigate an integrable noncommutative version of the sine-Gordon model. We discuss the origin of the extra constraint which the field function has to satisfy in order to guarantee classical integrability. We show that the system of constraint plus dynamical equation of motion can be obtained by a suitable reduction of a noncommutative version of 4d self-dual Yang-Mills theory. The field equations can be derived from an action which is the sum of two WZNW actions with cosine potentials corresponding to a complexified noncommutative U(1) gauge group. A brief discussion of the relation with the bosonized noncommutative Thirring model is given. In spite of integrability we show that the S-matrix is acasual and particle production takes place.

7.808263

7.29765

8.318944

7.052541

7.068461

7.143338

7.113066

7.124019

7.295368

8.521337

7.230351

7.532427

7.686536

7.423404

7.303073

7.583539

7.074643

7.401173

7.339345

7.488167

7.157451

hep-th/9803084

Alexander Vilenkin

Alexander Vilenkin (Tufts University)

Singular instantons and creation of open universes

4 pages, revtex. Note added commenting on Hawking and Turok's (hep-th/9803156) response to this paper

Phys.Rev.D57:7069-7070,1998

10.1103/PhysRevD.57.7069

null

hep-th astro-ph gr-qc

null

Singular instantons of the type introduced by Hawking and Turok (hep-th/9802030) lead to unacceptable physical consequences and cannot, therefore, be used to describe the creation of open universes.

[ { "created": "Tue, 10 Mar 1998 22:07:41 GMT", "version": "v1" }, { "created": "Thu, 16 Apr 1998 18:01:33 GMT", "version": "v2" } ]

2010-01-06

[ [ "Vilenkin", "Alexander", "", "Tufts University" ] ]

Singular instantons of the type introduced by Hawking and Turok (hep-th/9802030) lead to unacceptable physical consequences and cannot, therefore, be used to describe the creation of open universes.

13.217712

7.96094

13.938503

6.528135

6.8421

6.049785

6.718849

6.91628

8.288945

10.765295

6.920169

7.299714

8.91628

7.879454

7.343839

7.245808

7.503669

7.164697

8.478779

8.142154

8.137034

hep-th/9906040

Roberto Emparan

AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States

27 pages, 1 figure. v2: improved discussion of string corrections. References added

JHEP 9906 (1999) 036

10.1088/1126-6708/1999/06/036

DTP 99-37, EHU-FT/9909

hep-th

null

The horizon of a static black hole in Anti-deSitter space can be spherical, planar, or hyperbolic. The microscopic dynamics of the first two classes of black holes have been extensively discussed recently within the context of the AdS/CFT correspondence. We argue that hyperbolic black holes introduce new and fruitful features in this respect, allowing for more detailed comparisons between the weak and strong coupling regimes. In particular, by focussing on the stress tensor and entropy of some particular states, we identify unexpected increases in the entropy of Super-Yang-Mills theory at strong coupling that are not accompanied by increases in the energy. We describe a highly degenerate state at zero temperature and zero energy density. We also find that the entanglement entropy across a Rindler horizon in exact AdS_5 is larger than might have been expected from the dual SYM theory. Besides, we show that hyperbolic black holes can be described as thermal Rindler states of the dual conformal field theory in flat space.

[ { "created": "Fri, 4 Jun 1999 17:33:52 GMT", "version": "v1" }, { "created": "Wed, 9 Jun 1999 12:26:05 GMT", "version": "v2" } ]

2009-10-31

[ [ "Emparan", "Roberto", "" ] ]

The horizon of a static black hole in Anti-deSitter space can be spherical, planar, or hyperbolic. The microscopic dynamics of the first two classes of black holes have been extensively discussed recently within the context of the AdS/CFT correspondence. We argue that hyperbolic black holes introduce new and fruitful features in this respect, allowing for more detailed comparisons between the weak and strong coupling regimes. In particular, by focussing on the stress tensor and entropy of some particular states, we identify unexpected increases in the entropy of Super-Yang-Mills theory at strong coupling that are not accompanied by increases in the energy. We describe a highly degenerate state at zero temperature and zero energy density. We also find that the entanglement entropy across a Rindler horizon in exact AdS_5 is larger than might have been expected from the dual SYM theory. Besides, we show that hyperbolic black holes can be described as thermal Rindler states of the dual conformal field theory in flat space.

8.449561

8.60967

8.681043

8.119681

8.402286

8.474379

8.433665

8.296298

8.218735

8.945394

8.096729

8.153316

8.040093

8.136002

8.199526

8.16608

8.194867

8.017047

8.130835

8.235381

8.049354

hep-th/0104233

Andrey Slavnov

A.A.Slavnov

Renormalization by enforcing a symmetry

12 pages, 3 figures, Latex

null

10.1142/9789812777065_0035

null

hep-th

null

A new renormalization scheme for theories with nontrivial internal symmetry is proposed. The scheme is regularization independent and respects the symmetry requirements.

[ { "created": "Thu, 26 Apr 2001 10:09:55 GMT", "version": "v1" } ]

2016-11-23

[ [ "Slavnov", "A. A.", "" ] ]

A new renormalization scheme for theories with nontrivial internal symmetry is proposed. The scheme is regularization independent and respects the symmetry requirements.

14.618369

12.136153

12.461145

10.666623

9.714813

10.949162

12.579338

10.209849

10.435932

13.142197

11.797788

11.215783

10.722707

10.347627

10.577011

10.999804

11.189538

11.018997

11.127568

10.798317

11.532587

2002.01064

Jinn-Ouk Gong

Jinn-Ouk Gong, Min-Seok Seo

Quantum nature of Wigner function for inflationary tensor perturbations

(v1) 24 pages, (v2) 27 pages, discussions expanded and references added, to appear in Journal of High Energy Physics

null

10.1007/JHEP03(2020)060

null

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

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

We study the Wigner function for the inflationary tensor perturbation defined in the real phase space. We compute explicitly the Wigner function including the contributions from the cubic self-interaction Hamiltonian of tensor perturbations. Then we argue that it is no longer an appropriate description for the probability distribution in the sense that quantum nature allows negativity around vanishing phase variables. This comes from the non-Gaussian wavefunction in the mixed state as a result of the non-linear interaction between super- and sub-horizon modes. We also show that this is related to the explicit infrared divergence in the Wigner function, in contrast to the trace of the density matrix.

[ { "created": "Tue, 4 Feb 2020 00:25:38 GMT", "version": "v1" }, { "created": "Wed, 11 Mar 2020 03:31:51 GMT", "version": "v2" } ]

2021-05-19

[ [ "Gong", "Jinn-Ouk", "" ], [ "Seo", "Min-Seok", "" ] ]

We study the Wigner function for the inflationary tensor perturbation defined in the real phase space. We compute explicitly the Wigner function including the contributions from the cubic self-interaction Hamiltonian of tensor perturbations. Then we argue that it is no longer an appropriate description for the probability distribution in the sense that quantum nature allows negativity around vanishing phase variables. This comes from the non-Gaussian wavefunction in the mixed state as a result of the non-linear interaction between super- and sub-horizon modes. We also show that this is related to the explicit infrared divergence in the Wigner function, in contrast to the trace of the density matrix.

12.517599

13.766261

12.108102

11.564319

12.971521

13.79781

12.086398

12.492615

12.811752

14.252097

12.041377

11.832597

12.136785

12.217774

11.326194

11.521036

11.641793

11.697079

12.048471

12.541238

11.916485

1803.08941

Yifan Chen

Ignatios Antoniadis, Yifan Chen, George K. Leontaris

Perturbative moduli stabilisation in type IIB/F-theory framework

15 pages, 2 figures

Eur.Phys.J. C78 (2018) no.9, 766

10.1140/epjc/s10052-018-6248-4

null

hep-th hep-ph

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

We propose a new mechanism of (geometric) moduli stabilisation in type IIB/F-theory four-dimensional compactifications on Calabi-Yau manifolds, in the presence of 7-branes, that does not rely on non-perturbative effects. Complex structure moduli and the axion-dilaton system are stabilised in the standard way, without breaking supersymmetry, using 3-form internal fluxes. K\"ahler class moduli stabilisation utilises perturbative string loop corrections, together with internal magnetic fields along the D7-branes world-volume leading to Fayet-Iliopoulos D-terms in the effective supergravity action. The main ingredient that makes the stabilisation possible at a de Sitter vacuum is the logarithmic dependence of the string loop corrections in the large two-dimensional transverse volume limit of the 7-branes.

[ { "created": "Fri, 23 Mar 2018 18:29:16 GMT", "version": "v1" }, { "created": "Mon, 1 Oct 2018 13:23:43 GMT", "version": "v2" } ]

2018-10-02

[ [ "Antoniadis", "Ignatios", "" ], [ "Chen", "Yifan", "" ], [ "Leontaris", "George K.", "" ] ]

We propose a new mechanism of (geometric) moduli stabilisation in type IIB/F-theory four-dimensional compactifications on Calabi-Yau manifolds, in the presence of 7-branes, that does not rely on non-perturbative effects. Complex structure moduli and the axion-dilaton system are stabilised in the standard way, without breaking supersymmetry, using 3-form internal fluxes. K\"ahler class moduli stabilisation utilises perturbative string loop corrections, together with internal magnetic fields along the D7-branes world-volume leading to Fayet-Iliopoulos D-terms in the effective supergravity action. The main ingredient that makes the stabilisation possible at a de Sitter vacuum is the logarithmic dependence of the string loop corrections in the large two-dimensional transverse volume limit of the 7-branes.

5.638015

6.56635

7.781095

5.878596

5.983842

6.734543

6.253289

5.90088

5.829097

7.340403

5.653853

5.943664

6.026445

5.720065

5.79894

5.842028

5.720906

5.862689

5.751135

5.898163

5.709178

1805.12563

Sebastian Garcia-Saenz

Sebastian Garcia-Saenz and S\'ebastien Renaux-Petel

Flattened non-Gaussianities from the effective field theory of inflation with imaginary speed of sound

28 pages; v2: appendix added, matches version published in JCAP

JCAP11(2018)005

10.1088/1475-7516/2018/11/005

null

hep-th astro-ph.CO gr-qc

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

Inflationary perturbations in multi-field theories can exhibit a transient tachyonic instability as a consequence of their non-trivial motion in the internal field space. When an effective single-field description is applicable, the resulting theory is characterized by fluctuations that propagate with an $imaginary$ speed of sound. We use the effective field theory of fluctuations to study such a set-up in a model-independent manner, highlighting the peculiarities and subtleties that make it different from the standard case. In particular, perturbations feature exponentially growing and decaying modes whose relative amplitude is undetermined within the effective field theory. Nevertheless, we prove that in an interesting limit the dimensionless bispectrum is in fact universal, depending only on the speed of sound and on the cutoff scale that limits the validity of the effective theory. Contrary to the power spectrum, we find that the bispectrum does not display an exponential enhancement. The amplitude of non-Gaussianities in the equilateral configuration is similar to the one of conventional models, but it is enhanced in flattened configurations in a way that is ultraviolet sensitive.

[ { "created": "Thu, 31 May 2018 17:07:52 GMT", "version": "v1" }, { "created": "Tue, 6 Nov 2018 17:54:13 GMT", "version": "v2" } ]

2018-11-07

[ [ "Garcia-Saenz", "Sebastian", "" ], [ "Renaux-Petel", "Sébastien", "" ] ]

Inflationary perturbations in multi-field theories can exhibit a transient tachyonic instability as a consequence of their non-trivial motion in the internal field space. When an effective single-field description is applicable, the resulting theory is characterized by fluctuations that propagate with an $imaginary$ speed of sound. We use the effective field theory of fluctuations to study such a set-up in a model-independent manner, highlighting the peculiarities and subtleties that make it different from the standard case. In particular, perturbations feature exponentially growing and decaying modes whose relative amplitude is undetermined within the effective field theory. Nevertheless, we prove that in an interesting limit the dimensionless bispectrum is in fact universal, depending only on the speed of sound and on the cutoff scale that limits the validity of the effective theory. Contrary to the power spectrum, we find that the bispectrum does not display an exponential enhancement. The amplitude of non-Gaussianities in the equilateral configuration is similar to the one of conventional models, but it is enhanced in flattened configurations in a way that is ultraviolet sensitive.

9.492307

8.656654

9.308615

8.610874

8.712669

8.631692

8.751763

8.507894

8.626349

9.71555

8.390175

8.751152

8.456714

8.541273

8.56369

8.698464

8.651824

8.710829

8.811196

8.914849

8.525384

1207.1316

Maria A. Lledo

D. Cervantes, R. Fioresi, M. A. Lledo, F. A. Nadal

Quadratic deformation of Minkowski space

Presented at XVII European Workshop on String Theory 2011. Padova (Italy) September 05-09; Fortschr. Phys. 1-7 (2012)

null

10.1002/prop.201200023

null

hep-th

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

We present a deformation of the Minkowski space as embedded into the conformal space (in the formalism of twistors) based in the quantum versions of the corresponding kinematic groups. We compute explicitly the star product, whose Poisson bracket is quadratic. We show that the star product although defined on the polynomials can be extended differentiably. Finally we compute the Eucliden and Minkowskian real forms of the deformation.

[ { "created": "Thu, 5 Jul 2012 18:11:26 GMT", "version": "v1" } ]

2012-07-06

[ [ "Cervantes", "D.", "" ], [ "Fioresi", "R.", "" ], [ "Lledo", "M. A.", "" ], [ "Nadal", "F. A.", "" ] ]

We present a deformation of the Minkowski space as embedded into the conformal space (in the formalism of twistors) based in the quantum versions of the corresponding kinematic groups. We compute explicitly the star product, whose Poisson bracket is quadratic. We show that the star product although defined on the polynomials can be extended differentiably. Finally we compute the Eucliden and Minkowskian real forms of the deformation.

16.82917

16.718935

17.344696

16.618858

16.950788

18.849712

16.645748

17.435532

16.702681

20.431795

15.249426

16.094501

16.250607

16.077707

15.8124

16.432858

15.772861

15.355814

15.71566

15.196343

15.571843

2007.15218

Yoshihisa Kitazawa

Curvature Perturbations and Anomaly explain Dark Energy

14 pages, 1 figure, typos corrected, physical consequences are emphasized in the concluding section. Lepto-genesis and delta N formalism are mentioned. The suppression factors of dark energy is identified. Reference is added. The version to be published

null

KEK-TH-2223

hep-th gr-qc

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

We investigate the history of dark energy to explain the present magnitude. We assume the dark energy is the residual cosmological constant. The most important channel in the reheating process is the gluon pair productions by QCD trace anomaly. We argue dark energy decays rapidly by gluon pair emissions during the reheating and after the big bang. The reheating temperature is determined by the decay width of dark energy Gamma and the Planck mass M_p as sqrt{M_P Gamma} ~ 10^6GeV. It is the consequence of Friedmann's equation and an equilibrium condition Gamma~ H. As the Universe cools below the hadronic scale, dark energy density is almost frozen. Nevertheless the dark energy further decreases by emitting two photons. We have estimated the current decay rate of dark energy from the QED trace anomaly. The consistent solution of Friedmann equation is in an excellent agreement with the observations. The suppression factor of dark energy scale is the product of fine structure constant alpha and curvature perturbation P as 10^{-30}=(\alpha^2P/4\pi)^2. We argue the conformal symmetry breaking in the both UV and IR are necessary unless dark energy is subtracted. We also investigated lepto-genesis by adding massive right handed neutrinos. The realistic lepto-genesis takes place during reheating process.

[ { "created": "Thu, 30 Jul 2020 04:14:14 GMT", "version": "v1" }, { "created": "Thu, 10 Sep 2020 02:54:59 GMT", "version": "v2" }, { "created": "Mon, 22 Mar 2021 03:30:06 GMT", "version": "v3" }, { "created": "Wed, 24 Mar 2021 10:26:48 GMT", "version": "v4" }, { "created": "Tue, 22 Jun 2021 21:13:24 GMT", "version": "v5" } ]

2021-06-24

[ [ "Kitazawa", "Yoshihisa", "" ] ]

We investigate the history of dark energy to explain the present magnitude. We assume the dark energy is the residual cosmological constant. The most important channel in the reheating process is the gluon pair productions by QCD trace anomaly. We argue dark energy decays rapidly by gluon pair emissions during the reheating and after the big bang. The reheating temperature is determined by the decay width of dark energy Gamma and the Planck mass M_p as sqrt{M_P Gamma} ~ 10^6GeV. It is the consequence of Friedmann's equation and an equilibrium condition Gamma~ H. As the Universe cools below the hadronic scale, dark energy density is almost frozen. Nevertheless the dark energy further decreases by emitting two photons. We have estimated the current decay rate of dark energy from the QED trace anomaly. The consistent solution of Friedmann equation is in an excellent agreement with the observations. The suppression factor of dark energy scale is the product of fine structure constant alpha and curvature perturbation P as 10^{-30}=(\alpha^2P/4\pi)^2. We argue the conformal symmetry breaking in the both UV and IR are necessary unless dark energy is subtracted. We also investigated lepto-genesis by adding massive right handed neutrinos. The realistic lepto-genesis takes place during reheating process.

14.540607

16.452341

15.113445

14.501399

15.70447

16.450909

15.431687

14.739907

14.588336

16.25885

14.729201

13.851529

14.037704

13.799029

14.175941

14.321547

14.070564

14.46321

13.720987

14.755217

14.006041

hep-th/0209131

Sachindeo Vaidya

S. Vaidya and B. Ydri

New Scaling Limit for Fuzzy Spheres

13 pages, latex

null

UCD-2002-13, DIAS-02-09

hep-th

null

Using a new scaling limit as well as a new cut-off procedure, we show that $\phi^4$ theory on noncommutative ${\bf R}^4$ can be obtained from the corresponding theory on fuzzy ${\bf S}^2 \times {\bf S}^2$. The star-product on this noncommutative ${\bf R}^4$ is effectively local in the sense that the theory naturally has an ultra-violet cut-off $\Lambda$ which is inversely proportional to the noncommutativity $\theta$, i.e $ \Lambda= \frac{2}{\theta}$. We show that the UV-IR mixing in this case is absent to one loop in the $2-$point function and also comment on the $4-$point function.

[ { "created": "Mon, 16 Sep 2002 17:42:28 GMT", "version": "v1" }, { "created": "Sat, 14 Jun 2003 17:42:51 GMT", "version": "v2" } ]

2007-05-23

[ [ "Vaidya", "S.", "" ], [ "Ydri", "B.", "" ] ]

Using a new scaling limit as well as a new cut-off procedure, we show that $\phi^4$ theory on noncommutative ${\bf R}^4$ can be obtained from the corresponding theory on fuzzy ${\bf S}^2 \times {\bf S}^2$. The star-product on this noncommutative ${\bf R}^4$ is effectively local in the sense that the theory naturally has an ultra-violet cut-off $\Lambda$ which is inversely proportional to the noncommutativity $\theta$, i.e $ \Lambda= \frac{2}{\theta}$. We show that the UV-IR mixing in this case is absent to one loop in the $2-$point function and also comment on the $4-$point function.

6.103004

5.280539

5.891724

5.146103

5.21877

4.980557

5.431186

5.013983

5.201634

5.601581

4.966485

5.137689

5.72431

5.217782

5.237442

5.214028

5.099562

5.064919

5.278327

5.497827

5.202679

1711.03650

Hong Lu

Yue-Zhou Li, H. Lu and Jun-Bao Wu

Causality and a-theorem Constraints on Ricci Polynomial and Riemann Cubic Gravities

Latex, 31 pages, typos corrected, comments and references added

Phys. Rev. D 97, 024023 (2018)

10.1103/PhysRevD.97.024023

null

hep-th gr-qc

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

In this paper, we study Einstein gravity extended with Ricci polynomials and derive the constraints on the coupling constants from the considerations of being ghost free, exhibiting an $a$-theorem and maintaining causality. The salient feature is that Einstein metrics with appropriate effective cosmological constants continue to be solutions with the inclusion of such Ricci polynomials and the causality constraint is automatically satisfied. The ghost free and $a$-theorem conditions can only be both met starting at the quartic order. We also study these constraints on general Riemann cubic gravities.

[ { "created": "Thu, 9 Nov 2017 23:50:23 GMT", "version": "v1" }, { "created": "Sun, 19 Nov 2017 14:04:01 GMT", "version": "v2" } ]

2018-01-24

[ [ "Li", "Yue-Zhou", "" ], [ "Lu", "H.", "" ], [ "Wu", "Jun-Bao", "" ] ]

In this paper, we study Einstein gravity extended with Ricci polynomials and derive the constraints on the coupling constants from the considerations of being ghost free, exhibiting an $a$-theorem and maintaining causality. The salient feature is that Einstein metrics with appropriate effective cosmological constants continue to be solutions with the inclusion of such Ricci polynomials and the causality constraint is automatically satisfied. The ghost free and $a$-theorem conditions can only be both met starting at the quartic order. We also study these constraints on general Riemann cubic gravities.

13.461982

13.182181

13.260285

11.761209

11.046246

12.237679

12.450422

11.475829

11.478906

13.540494

12.082033

12.098553

13.151377

12.633879

12.230732

12.160341

11.936812

12.442519

11.740016

12.587585

12.194333

hep-th/0510205

Esko Keski-Vakkuri

Niko Jokela, Esko Keski-Vakkuri and Jaydeep Majumder

On Superstring Disk Amplitudes in a Rolling Tachyon Background

15 pages, LaTeX2e; uses latexsym, amssymb, amsmath, slashed macros; (v2): references added, some typo fixes; (v3): reference added

Phys.Rev. D73 (2006) 046007

10.1103/PhysRevD.73.046007

HIP-2005-45/TH

hep-th

null

We study the tree level scattering or emission of n closed superstrings from a decaying non-BPS brane in Type II superstring theory. We attempt to calculate generic n-point superstring disk amplitudes in the rolling tachyon background. We show that these can be written as infinite power series of Toeplitz determinants, related to expectation values of a periodic function in Circular Unitary Ensembles. Further analytical progress is possible in the special case of bulk-boundary disk amplitudes. These are interpreted as probability amplitudes for emission of a closed string with initial conditions perturbed by the addition of an open string vertex operator. This calculation has been performed previously in bosonic string theory, here we extend the analysis for superstrings. We obtain a result for the average energy of closed superstrings produced in the perturbed background.

[ { "created": "Mon, 24 Oct 2005 13:00:42 GMT", "version": "v1" }, { "created": "Mon, 7 Nov 2005 12:50:05 GMT", "version": "v2" }, { "created": "Fri, 17 Feb 2006 14:43:29 GMT", "version": "v3" } ]

2009-11-11

[ [ "Jokela", "Niko", "" ], [ "Keski-Vakkuri", "Esko", "" ], [ "Majumder", "Jaydeep", "" ] ]

We study the tree level scattering or emission of n closed superstrings from a decaying non-BPS brane in Type II superstring theory. We attempt to calculate generic n-point superstring disk amplitudes in the rolling tachyon background. We show that these can be written as infinite power series of Toeplitz determinants, related to expectation values of a periodic function in Circular Unitary Ensembles. Further analytical progress is possible in the special case of bulk-boundary disk amplitudes. These are interpreted as probability amplitudes for emission of a closed string with initial conditions perturbed by the addition of an open string vertex operator. This calculation has been performed previously in bosonic string theory, here we extend the analysis for superstrings. We obtain a result for the average energy of closed superstrings produced in the perturbed background.

12.0232

11.342575

13.852559

10.92878

12.110815

12.58504

12.343081

12.16953

11.405019

15.963021

11.37618

11.478309

12.622971

12.055038

11.782074

10.833465

11.566836

11.607166

11.566256

13.248695

11.41645

1503.05568

Aindri\'u Conroy Mr.

Aindri\'u Conroy, Anupam Mazumdar and Ali Teimouri

Wald's gravitational entropy for ghost-free, infinite derivative theories of Gravity

4 pages

Phys. Rev. Lett. 114, 201101 (2015)

10.1103/PhysRevLett.114.201101

null

hep-th astro-ph.CO gr-qc

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

In this paper, we demonstrate that the Wald's entropy for any spherically symmetric blackhole within an infinite derivative theory of gravity is determined solely by the area law. Thus, the infrared behaviour of gravity is captured by the Einstein-Hilbert term, provided that the massless graviton remains the only propagating degree of freedom in the spacetime.

[ { "created": "Wed, 18 Mar 2015 20:04:10 GMT", "version": "v1" } ]

2015-05-27

[ [ "Conroy", "Aindriú", "" ], [ "Mazumdar", "Anupam", "" ], [ "Teimouri", "Ali", "" ] ]

In this paper, we demonstrate that the Wald's entropy for any spherically symmetric blackhole within an infinite derivative theory of gravity is determined solely by the area law. Thus, the infrared behaviour of gravity is captured by the Einstein-Hilbert term, provided that the massless graviton remains the only propagating degree of freedom in the spacetime.

14.06516

9.991509

9.494756

8.121985

9.375367

9.484662

10.666142

9.320436

9.277017

11.095477

9.678198

9.286929

9.194762

8.943033

9.605011

9.651391

9.252818

9.599574

9.917457

9.418082

9.206342

2006.16275

Jonathan Manuel

Basem Kamal El-Menoufi, Stephan J. Huber, Jonathan P. Manuel

Black holes seeding cosmological phase transitions

29 pages, 11 figures. Further elaboration on the treatment of the thermal plasma in Section 3. Improved discussion in Section 4, providing comparison with previous results. Improved discussion in Section 5 relating to phenomenological constraints. Enhanced Section 6, including a realistic example. Added new references

null

hep-th gr-qc hep-ph

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

We consider a generic first-order phase transition at finite temperature and investigate to what extent a population of primordial black holes, of variable masses, can affect the rate of bubble nucleation. Using a thin-wall approximation, we construct the Euclidean configurations that describe transition at finite temperature. After the transition, the remnant black hole mass is dictated dynamically by the equations of motion. The transition exponent is computed and displays an explicit dependence on temperature. We find the configuration with the lowest Euclidean action to be static and $O(3)$ symmetric; therefore, the transition takes place via thermal excitation. The transition exponent exhibits a strong dependence on the seed mass black hole, $M_+$, being almost directly proportional. A new nucleation condition in the presence of black holes is derived and the nucleation temperature is compared to the familiar flat-space result, i.e. $S_3/T$. For an electroweak-like phase transition it is possible to enhance the nucleation rate if $M_+ \lesssim 10^{15} M_{\rm P}$. Finally, we outline the possible transition scenarios and the consequences for the power spectrum of stochastic gravitational waves produced due to the first-order phase transition.

[ { "created": "Mon, 29 Jun 2020 18:01:26 GMT", "version": "v1" }, { "created": "Tue, 22 Dec 2020 21:04:33 GMT", "version": "v2" } ]

2020-12-24

[ [ "El-Menoufi", "Basem Kamal", "" ], [ "Huber", "Stephan J.", "" ], [ "Manuel", "Jonathan P.", "" ] ]

We consider a generic first-order phase transition at finite temperature and investigate to what extent a population of primordial black holes, of variable masses, can affect the rate of bubble nucleation. Using a thin-wall approximation, we construct the Euclidean configurations that describe transition at finite temperature. After the transition, the remnant black hole mass is dictated dynamically by the equations of motion. The transition exponent is computed and displays an explicit dependence on temperature. We find the configuration with the lowest Euclidean action to be static and $O(3)$ symmetric; therefore, the transition takes place via thermal excitation. The transition exponent exhibits a strong dependence on the seed mass black hole, $M_+$, being almost directly proportional. A new nucleation condition in the presence of black holes is derived and the nucleation temperature is compared to the familiar flat-space result, i.e. $S_3/T$. For an electroweak-like phase transition it is possible to enhance the nucleation rate if $M_+ \lesssim 10^{15} M_{\rm P}$. Finally, we outline the possible transition scenarios and the consequences for the power spectrum of stochastic gravitational waves produced due to the first-order phase transition.

10.799506

11.048492

11.045834

10.480013

11.087401

11.328108

10.69558

10.982407

10.455914

10.803568

10.686767

10.719982

10.836334

10.39397

10.516809

10.476495

10.463639

10.545202

10.457844

10.865064

10.511287

hep-th/0007036

Arkady Tseytlin

R.R. Metsaev and A.A. Tseytlin

Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge

32 pages, latex. v4: misprints corrected in Appendix A, to appear in Phys Rev D

Phys.Rev.D63:046002,2001

10.1103/PhysRevD.63.046002

FIAN/TD/00-09, OHSTPY-HEP-T-00-008

hep-th

null

As part of program to quantize superstrings in AdS_5 x S^5 background in light cone approach we find the explicit form of the corresponding Green-Schwarz action in fermionic light-cone kappa-symmetry gauge. The resulting action is quadratic and quartic in fermions. In the flat space limit it reduces to the standard light-cone Green-Schwarz action, and also has the correct superparticle limit. We discuss fixing the bosonic light-cone gauge and a reformulation of the action in terms of 2-d Dirac spinors.

[ { "created": "Wed, 5 Jul 2000 21:56:25 GMT", "version": "v1" }, { "created": "Tue, 18 Jul 2000 19:54:11 GMT", "version": "v2" }, { "created": "Sun, 27 Aug 2000 16:28:08 GMT", "version": "v3" }, { "created": "Sat, 9 Dec 2000 02:02:07 GMT", "version": "v4" } ]

2009-09-17

[ [ "Metsaev", "R. R.", "" ], [ "Tseytlin", "A. A.", "" ] ]

As part of program to quantize superstrings in AdS_5 x S^5 background in light cone approach we find the explicit form of the corresponding Green-Schwarz action in fermionic light-cone kappa-symmetry gauge. The resulting action is quadratic and quartic in fermions. In the flat space limit it reduces to the standard light-cone Green-Schwarz action, and also has the correct superparticle limit. We discuss fixing the bosonic light-cone gauge and a reformulation of the action in terms of 2-d Dirac spinors.

8.461169

5.795713

9.133806

6.546893

6.267241

6.302934

6.526123

6.298349

6.397662

8.482286

6.909834

6.28149

7.288239

6.717835

6.554589

6.333071

6.488496

6.696645

6.822539

7.084089

6.963594

hep-th/0310211

Jaume Garriga

Jaume Garriga and Ariel Megevand

Coincident brane nucleation and the neutralization of \Lambda

38 pages, 6 figures. Replaced with typos corrected

Phys.Rev. D69 (2004) 083510

10.1103/PhysRevD.69.083510

null

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

null

Nucleation of branes by a four-form field has recently been considered in string motivated scenarios for the neutralization of the cosmological constant. An interesting question in this context is whether the nucleation of stacks of coincident branes is possible, and if so, at what rate does it proceed. Feng et al. have suggested that, at high ambient de Sitter temperature, the rate may be strongly enhanced, due to large degeneracy factors associated with the number of light species living on the worldsheet. This might facilitate the quick relaxation from a large effective cosmological constant down to the observed value. Here, we analyse this possibility in some detail. In four dimensions, and after the moduli are stabilized, branes interact via repulsive long range forces. Because of that, the Coleman-de Luccia (CdL) instanton for coincident brane nucleation may not exist, unless there is some short range interaction which keeps the branes together. If the CdL instanton exists, we find that the degeneracy factor depends only mildly on the ambient de Sitter temperature, and does not switch off even in the case of tunneling from flat space. This would result in catastrophic decay of the present vacuum. If, on the contrary, the CdL instanton does not exist, coindident brane nucleation may still proceed through a "static" instanton, representing pair creation of critical bubbles -- a process somewhat analogous to thermal activation in flat space. In that case, the branes may stick together due to thermal symmetry restoration, and the pair creation rate depends exponentially on the ambient de Sitter temperature, switching off sharply as the temperature approaches zero. Such static instanton may be well suited for the "saltatory" relaxation scenario proposed by Feng et al.

[ { "created": "Wed, 22 Oct 2003 20:46:56 GMT", "version": "v1" }, { "created": "Thu, 6 Nov 2003 19:58:29 GMT", "version": "v2" } ]

2009-11-10

[ [ "Garriga", "Jaume", "" ], [ "Megevand", "Ariel", "" ] ]

Nucleation of branes by a four-form field has recently been considered in string motivated scenarios for the neutralization of the cosmological constant. An interesting question in this context is whether the nucleation of stacks of coincident branes is possible, and if so, at what rate does it proceed. Feng et al. have suggested that, at high ambient de Sitter temperature, the rate may be strongly enhanced, due to large degeneracy factors associated with the number of light species living on the worldsheet. This might facilitate the quick relaxation from a large effective cosmological constant down to the observed value. Here, we analyse this possibility in some detail. In four dimensions, and after the moduli are stabilized, branes interact via repulsive long range forces. Because of that, the Coleman-de Luccia (CdL) instanton for coincident brane nucleation may not exist, unless there is some short range interaction which keeps the branes together. If the CdL instanton exists, we find that the degeneracy factor depends only mildly on the ambient de Sitter temperature, and does not switch off even in the case of tunneling from flat space. This would result in catastrophic decay of the present vacuum. If, on the contrary, the CdL instanton does not exist, coindident brane nucleation may still proceed through a "static" instanton, representing pair creation of critical bubbles -- a process somewhat analogous to thermal activation in flat space. In that case, the branes may stick together due to thermal symmetry restoration, and the pair creation rate depends exponentially on the ambient de Sitter temperature, switching off sharply as the temperature approaches zero. Such static instanton may be well suited for the "saltatory" relaxation scenario proposed by Feng et al.

8.631757

8.787431

8.615123

8.552103

8.933887

8.789478

8.906494

8.740276

8.236654

9.854043

8.535115

8.480123

8.618987

8.294464

8.473877

8.474865

8.331637

8.273858

8.353399

8.483817

8.420911

hep-th/9411145

Vyjayanthi Chari

V. Chari and A.N.Pressley

Quantum Affine Algebras and their Representations

19 pages

null

hep-th math.QA q-alg

null

We prove a highest weight theorem classifying irerducible finite--dimensional representations of quantum affine algebras and survey what is currently known about the structure of these representations.

[ { "created": "Fri, 18 Nov 1994 21:33:05 GMT", "version": "v1" } ]

2008-02-03

[ [ "Chari", "V.", "" ], [ "Pressley", "A. N.", "" ] ]

We prove a highest weight theorem classifying irerducible finite--dimensional representations of quantum affine algebras and survey what is currently known about the structure of these representations.

19.745552

21.316565

23.11659

20.446194

22.976927

24.276909

16.113197

18.344833

21.229462

17.2377

17.95015

19.447214

22.705679

20.419718

19.841801

20.054569

19.926769

20.217791

20.595947

21.837927

21.527506

2105.02229

Luca Delacr\'etaz

Luca V. Delacretaz, A. Liam Fitzpatrick, Emanuel Katz, Matthew T. Walters

Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories

33 pages, 7 figures; v2: published version; v3: Sec. 5.4 updated, references added

SciPost Phys. 12, 119 (2022)

10.21468/SciPostPhys.12.4.119

EFI 21-4

hep-th cond-mat.stat-mech cond-mat.str-el

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

We consider 2d QFTs as relevant deformations of CFTs in the thermodynamic limit. Using causality and KPZ universality, we place a lower bound on the timescale characterizing the onset of hydrodynamics. The bound is determined parametrically in terms of the temperature and the scale associated with the relevant deformation. This bound is typically much stronger than $\frac{1}{T}$, the expected quantum equilibration time. Subluminality of sound further allows us to define a thermodynamic $C$-function, and constrain the sign of the $\mathcal T\bar{\mathcal T}$ term in EFTs.

[ { "created": "Wed, 5 May 2021 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 7 Sep 2021 14:26:39 GMT", "version": "v2" }, { "created": "Wed, 2 Feb 2022 04:24:11 GMT", "version": "v3" } ]

2022-04-20

[ [ "Delacretaz", "Luca V.", "" ], [ "Fitzpatrick", "A. Liam", "" ], [ "Katz", "Emanuel", "" ], [ "Walters", "Matthew T.", "" ] ]

We consider 2d QFTs as relevant deformations of CFTs in the thermodynamic limit. Using causality and KPZ universality, we place a lower bound on the timescale characterizing the onset of hydrodynamics. The bound is determined parametrically in terms of the temperature and the scale associated with the relevant deformation. This bound is typically much stronger than $\frac{1}{T}$, the expected quantum equilibration time. Subluminality of sound further allows us to define a thermodynamic $C$-function, and constrain the sign of the $\mathcal T\bar{\mathcal T}$ term in EFTs.

8.930044

10.311235

9.70153

8.882021

10.023151

11.141503

9.44169

9.491707

9.535383

9.056495

9.81903

8.68864

8.730294

8.48793

8.880621

8.684464

8.591731

8.363323

8.507975

8.696257

8.896464

1207.0886

Frank Ferrari

Emergent Space and the Example of AdS_5XS^5

32 pages, 4 figures; v2: one reference added; v3: typos corrected, a few references added and minor improvements

null

10.1016/j.nuclphysb.2012.12.004

null

hep-th

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

We explain how to build field theoretic observables from which the geometrical properties of a dual holographic formulation can be read off straightforwardly. In some cases this construction yields explicit and calculable models of emergent space. We illustrate the idea on the type IIB background generated by N D3-branes in the near horizon limit, for which a full derivation from first principles can be presented. The six transverse dimensions emerge at large N and we find the full AdS_5XS^5 metric and self-dual Ramond-Ramond field strength on the resulting ten dimensional space-time, with the correct radii and quantization law. We briefly discuss possible applications and generalizations.

[ { "created": "Wed, 4 Jul 2012 03:29:45 GMT", "version": "v1" }, { "created": "Sat, 21 Jul 2012 13:38:22 GMT", "version": "v2" }, { "created": "Mon, 6 May 2013 12:25:57 GMT", "version": "v3" } ]

2015-06-05

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

We explain how to build field theoretic observables from which the geometrical properties of a dual holographic formulation can be read off straightforwardly. In some cases this construction yields explicit and calculable models of emergent space. We illustrate the idea on the type IIB background generated by N D3-branes in the near horizon limit, for which a full derivation from first principles can be presented. The six transverse dimensions emerge at large N and we find the full AdS_5XS^5 metric and self-dual Ramond-Ramond field strength on the resulting ten dimensional space-time, with the correct radii and quantization law. We briefly discuss possible applications and generalizations.

13.373716

12.717525

14.067434

12.164847

12.915826

13.040808

12.967991

12.253057

11.89407

16.200676

12.184153

13.005514

12.946089

12.283381

13.157407

12.835728

13.115095

13.406384

12.502374

13.274226

12.655437

2011.07145

Sayantan Choudhury

Sayantan Choudhury, Ankan Dutta and Debisree Ray

Chaos and Complexity from Quantum Neural Network: A study with Diffusion Metric in Machine Learning

42 pages, 9 figures, 1 table, , This project is the part of the non-profit virtual international research consortium "Quantum Aspects of Space-Time and Matter (QASTM)". Revised version accepted for publication in Journal of High Energy Physics (JHEP)

JHEP 04 (2021) 138

10.1007/JHEP04(2021)138

null

hep-th cond-mat.dis-nn cs.LG nlin.CD quant-ph

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

In this work, our prime objective is to study the phenomena of quantum chaos and complexity in the machine learning dynamics of Quantum Neural Network (QNN). A Parameterized Quantum Circuits (PQCs) in the hybrid quantum-classical framework is introduced as a universal function approximator to perform optimization with Stochastic Gradient Descent (SGD). We employ a statistical and differential geometric approach to study the learning theory of QNN. The evolution of parametrized unitary operators is correlated with the trajectory of parameters in the Diffusion metric. We establish the parametrized version of Quantum Complexity and Quantum Chaos in terms of physically relevant quantities, which are not only essential in determining the stability, but also essential in providing a very significant lower bound to the generalization capability of QNN. We explicitly prove that when the system executes limit cycles or oscillations in the phase space, the generalization capability of QNN is maximized. Finally, we have determined the generalization capability bound on the variance of parameters of the QNN in a steady state condition using Cauchy Schwartz Inequality.

[ { "created": "Mon, 16 Nov 2020 10:41:47 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2021 14:36:03 GMT", "version": "v2" } ]

2021-04-16

[ [ "Choudhury", "Sayantan", "" ], [ "Dutta", "Ankan", "" ], [ "Ray", "Debisree", "" ] ]

In this work, our prime objective is to study the phenomena of quantum chaos and complexity in the machine learning dynamics of Quantum Neural Network (QNN). A Parameterized Quantum Circuits (PQCs) in the hybrid quantum-classical framework is introduced as a universal function approximator to perform optimization with Stochastic Gradient Descent (SGD). We employ a statistical and differential geometric approach to study the learning theory of QNN. The evolution of parametrized unitary operators is correlated with the trajectory of parameters in the Diffusion metric. We establish the parametrized version of Quantum Complexity and Quantum Chaos in terms of physically relevant quantities, which are not only essential in determining the stability, but also essential in providing a very significant lower bound to the generalization capability of QNN. We explicitly prove that when the system executes limit cycles or oscillations in the phase space, the generalization capability of QNN is maximized. Finally, we have determined the generalization capability bound on the variance of parameters of the QNN in a steady state condition using Cauchy Schwartz Inequality.

12.481377

14.007644

13.942569

13.337963

14.099487

14.507775

14.07203

12.726736

13.58096

14.304218

12.372019

12.901874

13.133992

12.764134

12.515498

12.92829

13.027494

12.805634

13.202223

12.526018

12.066278

0907.1156

Ayan Mukhopadhyay

Ramakrishnan Iyer, Ayan Mukhopadhyay

An AdS/CFT Connection between Boltzmann and Einstein

42 pages; this contains exactly the same content as the earlier versions but the presentation has been made more concise and readable; some references which are not directly relevant to this work have been removed at the insistence of PRD referees.

Phys.Rev.D81:086005,2010

10.1103/PhysRevD.81.086005

null

hep-th gr-qc hep-ph

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

The AdS/CFT correspondence defines a sector with universal strongly coupled dynamics in the field theory as the dual of pure gravity in AdS described by Einstein's equation with a negative cosmological constant. We explain here, from the field-theoretic viewpoint how the dynamics in this sector gets determined by the expectation value of the energy-momentum tensor \emph{alone}. We first show that the Boltzmann equation has very special solutions which could be \textit{functionally} completely determined in terms of the energy-momentum tensor alone. We call these solutions \textit{conservative solutions}. We indicate why conservative solutions should also exist when we refine this kinetic description to go closer to the exact microscopic theory or even move away from the regime of weak coupling so that no kinetic description could be employed. We argue that these \textit{conservative solutions} form the universal sector dual to pure gravity at strong coupling and large $N$. Based on this observation, we propose a \textit{regularity condition} on the energy-momentum tensor so that the dual solution in pure gravity has a smooth future horizon. We also study if irreversibility emerges only at long time scales of observation, unlike the case of the Boltzmann equation.

[ { "created": "Tue, 7 Jul 2009 07:32:23 GMT", "version": "v1" }, { "created": "Thu, 27 Aug 2009 06:19:36 GMT", "version": "v2" }, { "created": "Thu, 10 Dec 2009 04:16:46 GMT", "version": "v3" }, { "created": "Tue, 2 Mar 2010 10:04:21 GMT", "version": "v4" }, { "created": "Thu, 22 Apr 2010 13:38:38 GMT", "version": "v5" } ]

2010-05-12

[ [ "Iyer", "Ramakrishnan", "" ], [ "Mukhopadhyay", "Ayan", "" ] ]

The AdS/CFT correspondence defines a sector with universal strongly coupled dynamics in the field theory as the dual of pure gravity in AdS described by Einstein's equation with a negative cosmological constant. We explain here, from the field-theoretic viewpoint how the dynamics in this sector gets determined by the expectation value of the energy-momentum tensor \emph{alone}. We first show that the Boltzmann equation has very special solutions which could be \textit{functionally} completely determined in terms of the energy-momentum tensor alone. We call these solutions \textit{conservative solutions}. We indicate why conservative solutions should also exist when we refine this kinetic description to go closer to the exact microscopic theory or even move away from the regime of weak coupling so that no kinetic description could be employed. We argue that these \textit{conservative solutions} form the universal sector dual to pure gravity at strong coupling and large $N$. Based on this observation, we propose a \textit{regularity condition} on the energy-momentum tensor so that the dual solution in pure gravity has a smooth future horizon. We also study if irreversibility emerges only at long time scales of observation, unlike the case of the Boltzmann equation.

10.189986

11.188383

11.279361

10.444473

11.351032

10.991821

10.869869

11.021354

10.512177

11.537036

10.592728

10.320574

10.132204

10.150675

10.226933

10.160789

9.963342

10.106256

10.202317

10.343318

9.93049

hep-th/0211027

Riccardo D'Auria

Riccardo D'Auria, Sergio Ferrara, Maria Antonia Lled\'o and Silvia Vaul\`a

No-scale N=4 supergravity coupled to Yang-Mills: the scalar potential and super-Higgs effect

misprints corrected

Phys.Lett. B557 (2003) 278-282

10.1016/S0370-2693(03)00191-6

null

hep-th

null

We derive the scalar potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non abelian brane coordinates. N=4 supergravity predicts a positive semidefinite potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR scalars which complete three copies of the coset (U(1,1+n)/U(1)\otimes U(1+n)), together with 6n D3-branes coordinates, n being the rank of the gauge group G. Implications for the super Higgs mechanism are also discussed.

[ { "created": "Tue, 5 Nov 2002 10:12:12 GMT", "version": "v1" }, { "created": "Wed, 13 Nov 2002 11:23:50 GMT", "version": "v2" }, { "created": "Mon, 18 Nov 2002 10:06:36 GMT", "version": "v3" }, { "created": "Wed, 4 Dec 2002 16:17:56 GMT", "version": "v4" } ]

2016-09-06

[ [ "D'Auria", "Riccardo", "" ], [ "Ferrara", "Sergio", "" ], [ "Lledó", "Maria Antonia", "" ], [ "Vaulà", "Silvia", "" ] ]

We derive the scalar potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non abelian brane coordinates. N=4 supergravity predicts a positive semidefinite potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR scalars which complete three copies of the coset (U(1,1+n)/U(1)\otimes U(1+n)), together with 6n D3-branes coordinates, n being the rank of the gauge group G. Implications for the super Higgs mechanism are also discussed.

12.747478

13.660551

13.750874

13.380969

13.613274

13.743807

13.440436

12.171372

12.66329

16.832628

11.724349

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12.986338

11.37372

12.116814

11.681782

11.488502

11.749892

11.532386

12.48273

11.316266

hep-th/0408030

Masako Asano

Stringy effect of the holographic correspondence for Dp-brane backgrounds

23 pages, typos corrected

JHEP 0412:029,2004

10.1088/1126-6708/2004/12/029

KUNS-1932

hep-th

null

Based on the holographic conjecture for superstrings on Dp-brane backgrounds and the dual (p+1)-dimensional gauge theory ($0\le p\le 4$) given in hep-th/0308024 and hep-th/0405203, we continue the study of superstring amplitudes including string higher modes ($n\ne 0$). We give a prediction to the two-point functions of operators with large R-charge J. The effect of stringy modes do not appear as the form of anomalous dimensions except for p=3. Instead, it gives non-trivial correction to the two-point functions for supergravity modes. For p=4, the scalar two-point functions for any n behave like free fields of the effective dimension d_{eff}=6 in the infra-red limit.

[ { "created": "Wed, 4 Aug 2004 05:59:40 GMT", "version": "v1" }, { "created": "Fri, 6 Aug 2004 05:28:14 GMT", "version": "v2" } ]

2016-09-06

[ [ "Asano", "Masako", "" ] ]

Based on the holographic conjecture for superstrings on Dp-brane backgrounds and the dual (p+1)-dimensional gauge theory ($0\le p\le 4$) given in hep-th/0308024 and hep-th/0405203, we continue the study of superstring amplitudes including string higher modes ($n\ne 0$). We give a prediction to the two-point functions of operators with large R-charge J. The effect of stringy modes do not appear as the form of anomalous dimensions except for p=3. Instead, it gives non-trivial correction to the two-point functions for supergravity modes. For p=4, the scalar two-point functions for any n behave like free fields of the effective dimension d_{eff}=6 in the infra-red limit.

12.076732

9.994864

13.948586

10.54125

11.013017

10.905432

10.6945

11.226473

10.147241

13.821115

10.930408

10.495473

11.749464

10.675719

11.186955

10.951004

10.806925

10.966269

10.56332

12.541084

10.176986

1907.04870

Evyatar Sabag

Shlomo S. Razamat, Evyatar Sabag and Gabi Zafrir

From 6d flows to 4d flows

Added some clarification in Section 2

null

10.1007/JHEP12(2019)108

null

hep-th

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

SCFTs in six dimensions are interrelated by networks of RG flows. Compactifying such models on a Riemann surface with flux for the $6d$ global symmetry, one can obtain a wide variety of theories in four dimensions. These four dimensional models are also related by a network of RG flows. In this paper we study some examples of four dimensional flows relating theories that can be obtained from six dimensions starting with different SCFTs connected by $6d$ RG flows. We compile a dictionary between different orders of such flows, $6d\to 6d\to 4d$ and $6d\to 4d\to 4d$, in the particular case when the six dimensional models are the ones residing on M5 branes probing different $A$-type singularities. The flows we study are triggered by vacuum expectation values (vevs) to certain operators charged under the six dimensional symmetry. We find that for generic choices of parameters the different orders of flows, $6d\to 6d\to 4d$ and $6d\to 4d\to 4d$, involve compactifications on different Riemann surfaces with the difference being in the number of punctures the surface has.

[ { "created": "Wed, 10 Jul 2019 18:00:08 GMT", "version": "v1" }, { "created": "Thu, 21 Nov 2019 09:35:09 GMT", "version": "v2" } ]

2020-01-29

[ [ "Razamat", "Shlomo S.", "" ], [ "Sabag", "Evyatar", "" ], [ "Zafrir", "Gabi", "" ] ]

SCFTs in six dimensions are interrelated by networks of RG flows. Compactifying such models on a Riemann surface with flux for the $6d$ global symmetry, one can obtain a wide variety of theories in four dimensions. These four dimensional models are also related by a network of RG flows. In this paper we study some examples of four dimensional flows relating theories that can be obtained from six dimensions starting with different SCFTs connected by $6d$ RG flows. We compile a dictionary between different orders of such flows, $6d\to 6d\to 4d$ and $6d\to 4d\to 4d$, in the particular case when the six dimensional models are the ones residing on M5 branes probing different $A$-type singularities. The flows we study are triggered by vacuum expectation values (vevs) to certain operators charged under the six dimensional symmetry. We find that for generic choices of parameters the different orders of flows, $6d\to 6d\to 4d$ and $6d\to 4d\to 4d$, involve compactifications on different Riemann surfaces with the difference being in the number of punctures the surface has.

5.991972

5.661717

6.505308

5.541404

5.705583

5.451574

6.123466

5.462888

5.44354

7.255922

5.486689

5.543587

5.93106

5.545646

5.57996

5.503602

5.611471

5.574857

5.51994

5.998097

5.63189

hep-th/0612144

Rong-Gen Cai

Rong-Gen Cai and Li-Ming Cao

Thermodynamics of Apparent Horizon in Brane World Scenario

latex, 16 pages with one figure, V2: two references added; V3: to appear in Nucl. Phys. B

Nucl.Phys.B785:135-148,2007

10.1016/j.nuclphysb.2007.06.016

null

hep-th gr-qc

null

In this paper we discuss thermodynamics of apparent horizon of an $n$-dimensional Friedmann-Robertson-Walker (FRW) universe embedded in an $(n+1)$-dimensional AdS spacetime. By using the method of unified first law, we give the explicit entropy expression of the apparent horizon of the FRW universe. In the large horizon radius limit, this entropy reduces to the $n$-dimensional area formula, while in the small horizon radius limit, it obeys the $(n+1)$-dimensional area formula. We also discuss the corresponding bulk geometry and study the apparent horizon extended into the bulk. We calculate the entropy of this apparent horizon by using the area formula of the $(n+1)$-dimensional bulk. It turns out that both methods give the same result for the apparent horizon entropy. In addition, we show that the Friedmann equation on the brane can be rewritten to a form of the first law, $dE=TdS +WdV$, at the apparent horizon.

[ { "created": "Thu, 14 Dec 2006 08:48:11 GMT", "version": "v1" }, { "created": "Fri, 5 Jan 2007 05:52:11 GMT", "version": "v2" }, { "created": "Mon, 25 Jun 2007 03:21:13 GMT", "version": "v3" } ]

2008-11-26

[ [ "Cai", "Rong-Gen", "" ], [ "Cao", "Li-Ming", "" ] ]

In this paper we discuss thermodynamics of apparent horizon of an $n$-dimensional Friedmann-Robertson-Walker (FRW) universe embedded in an $(n+1)$-dimensional AdS spacetime. By using the method of unified first law, we give the explicit entropy expression of the apparent horizon of the FRW universe. In the large horizon radius limit, this entropy reduces to the $n$-dimensional area formula, while in the small horizon radius limit, it obeys the $(n+1)$-dimensional area formula. We also discuss the corresponding bulk geometry and study the apparent horizon extended into the bulk. We calculate the entropy of this apparent horizon by using the area formula of the $(n+1)$-dimensional bulk. It turns out that both methods give the same result for the apparent horizon entropy. In addition, we show that the Friedmann equation on the brane can be rewritten to a form of the first law, $dE=TdS +WdV$, at the apparent horizon.

4.716992

4.422395

4.276463

4.212288

4.486034

4.501343

4.711582

4.311354

4.495727

4.711056

4.375331

4.405981

4.27269

4.245005

4.40976

4.464329

4.462666

4.429294

4.266534

4.229688

4.322489

hep-th/0012107

Nikolaos Tetradis

N. Tetradis

The Exact Renormalization Group and First-Order Phase Transitions

13 pages, 3 figures, Invited talk at the Second Conference on the Exact Renormalization Group, Rome, September 2000

Int.J.Mod.Phys. A16 (2001) 1927-1940

10.1142/S0217751X01004578

null

hep-th hep-ph

null

Studies of first-order phase transitions through the use of the exact renormalization group are reviewed. In the first part the emphasis is on universal aspects: We discuss the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. In the second part we review the application of the exact renormalization group to the calculation of bubble-nucleation rates. More specifically, we concentrate on the pre-exponential factor. We discuss the reliability of homogeneous nucleation theory that employs a saddle-point expansion around the critical bubble for the calculation of the nucleation rate.

[ { "created": "Tue, 12 Dec 2000 17:59:39 GMT", "version": "v1" } ]

2009-10-31

[ [ "Tetradis", "N.", "" ] ]

Studies of first-order phase transitions through the use of the exact renormalization group are reviewed. In the first part the emphasis is on universal aspects: We discuss the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. In the second part we review the application of the exact renormalization group to the calculation of bubble-nucleation rates. More specifically, we concentrate on the pre-exponential factor. We discuss the reliability of homogeneous nucleation theory that employs a saddle-point expansion around the critical bubble for the calculation of the nucleation rate.

7.602908

8.304664

7.186061

7.078063

7.360493

7.692397

8.277191

7.879243

6.92274

6.99946

7.491397

7.626508

7.636065

7.406963

7.518118

7.55512

7.565386

7.638872

7.156064

7.624519

7.49286

hep-th/0508142

Takashi Tamaki

Takashi Tamaki, Hidefumi Nomura

Ambiguity of black hole entropy in loop quantum gravity

4 pages, 1 figure, error corrected, PRD published version

Phys.Rev. D72 (2005) 107501

10.1103/PhysRevD.72.107501

null

hep-th gr-qc

null

We reexmine some proposals of black hole entropy in loop quantum gravity (LQG) and consider a new possible choice of the Immirzi parameter which has not been pointed out so far. We also discuss that a new idea is inevitable if we regard the relation between the area spectrum in LQG and that in the quasinormal mode analysis seriously.

[ { "created": "Fri, 19 Aug 2005 15:17:14 GMT", "version": "v1" }, { "created": "Wed, 24 Aug 2005 16:23:19 GMT", "version": "v2" }, { "created": "Thu, 17 Nov 2005 02:31:00 GMT", "version": "v3" } ]

2009-11-11

[ [ "Tamaki", "Takashi", "" ], [ "Nomura", "Hidefumi", "" ] ]

We reexmine some proposals of black hole entropy in loop quantum gravity (LQG) and consider a new possible choice of the Immirzi parameter which has not been pointed out so far. We also discuss that a new idea is inevitable if we regard the relation between the area spectrum in LQG and that in the quasinormal mode analysis seriously.

12.856586

11.259546

10.321698

10.55081

10.309612

11.673228

10.660532

10.542005

10.375034

11.878491

10.51128

11.343944

10.990351

10.589065

10.723241

11.099705

11.137411

10.558742

11.003214

10.792058

10.756742

hep-th/0604003

Gennady Sardanashvily

G.Sardanashvily

Green function identities in Euclidean quantum field theory

13 pages

null

hep-th math-ph math.MP

null

Given a generic Lagrangian system of even and odd fields, we show that any infinitesimal transformation of its classical Lagrangian yields the identities which Euclidean Green functions of quantum fields satisfy.

[ { "created": "Sat, 1 Apr 2006 17:59:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sardanashvily", "G.", "" ] ]

Given a generic Lagrangian system of even and odd fields, we show that any infinitesimal transformation of its classical Lagrangian yields the identities which Euclidean Green functions of quantum fields satisfy.

24.831415

19.057121

21.302544

18.949421

18.883688

17.749025

18.78887

15.518136

20.095112

23.893812

17.645651

18.247927

21.80028

19.077475

20.546743

19.892782

19.01034

18.041243

19.402662

22.119555

18.253719

1712.07169

Dimitrios Tsimpis

Bertrand Sou\`eres and Dimitrios Tsimpis

De Sitter space from dilatino condensates in (massive) IIA

20 pages. v2: clarifications added in the introduction and conclusions

Phys. Rev. D 97, 046005 (2018)

10.1103/PhysRevD.97.046005

null

hep-th

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

We use the superspace formulation of (massive) IIA supergravity to obtain the explicit form of the dilatino terms, and we find that the quartic-dilatino term is positive. The theory admits a ten-dimensional de Sitter solution, obtained by assuming a nonvanishing quartic-dilatino condensate which generates a positive cosmological constant. Moreover, in the presence of dilatino condensates, the theory admits formal four-dimensional de Sitter solutions of the form $dS_4\times M_6$, where $M_6$ is a six-dimensional K\"{a}hler-Einstein manifold of positive scalar curvature.

[ { "created": "Tue, 19 Dec 2017 19:37:17 GMT", "version": "v1" }, { "created": "Fri, 22 Dec 2017 10:37:28 GMT", "version": "v2" } ]

2018-02-21

[ [ "Souères", "Bertrand", "" ], [ "Tsimpis", "Dimitrios", "" ] ]

We use the superspace formulation of (massive) IIA supergravity to obtain the explicit form of the dilatino terms, and we find that the quartic-dilatino term is positive. The theory admits a ten-dimensional de Sitter solution, obtained by assuming a nonvanishing quartic-dilatino condensate which generates a positive cosmological constant. Moreover, in the presence of dilatino condensates, the theory admits formal four-dimensional de Sitter solutions of the form $dS_4\times M_6$, where $M_6$ is a six-dimensional K\"{a}hler-Einstein manifold of positive scalar curvature.

6.627053

5.805324

6.301816

5.710191

6.36395

6.025645

5.962244

5.65085

5.765288

6.980135

5.695218

5.605049

5.90222

5.739421

5.674569

5.511608

5.774201

5.621747

5.483055

6.014346

5.483131

2407.16652

Alistair Chopping

Alistair J. Chopping, Charlotte Sleight, Massimo Taronna

Cosmological Correlators for Bogoliubov Initial States

32 pages + appendices, 4 figures

null

hep-th

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

We consider late-time correlators in de Sitter (dS) space for initial states related to the Bunch-Davies vacuum by a Bogoliubov transformation. We propose to study such late-time correlators by reformulating them in the familiar language of Witten diagrams in Euclidean anti-de Sitter space (EAdS), showing that they can be perturbatively re-cast in terms of corresponding dS boundary correlators in the Bunch-Davies vacuum and in turn, Witten diagrams in EAdS. Unlike the standard relationship between late-time correlators in the Bunch-Davies vacuum and EAdS Witten diagrams, this involves points on the upper and lower sheet of the EAdS hyperboloid which account for antipodal singularities of the two-point functions. Such Bogoliubov states include an infinite one parameter family of de Sitter invariant vacua as a special case, where the late-time correlators are constrained by Conformal Ward identities. In momentum space, it is well known that their late-time correlators exhibit singularities in collinear ("folded") momentum configurations. We give a position space interpretation of such solutions to the conformal Ward identities, where in embedding space they can be generated from the solution without collinear singularities by application of the antipodal map. We also discuss the operator product expansion (OPE) limit of late-time correlators in a generic dS invariant vacuum. Many results are derived using the Mellin space representation of late-time correlators, which in this work we extend to accommodate generic dS invariant vacua.

[ { "created": "Tue, 23 Jul 2024 17:10:16 GMT", "version": "v1" } ]

2024-07-24

[ [ "Chopping", "Alistair J.", "" ], [ "Sleight", "Charlotte", "" ], [ "Taronna", "Massimo", "" ] ]

We consider late-time correlators in de Sitter (dS) space for initial states related to the Bunch-Davies vacuum by a Bogoliubov transformation. We propose to study such late-time correlators by reformulating them in the familiar language of Witten diagrams in Euclidean anti-de Sitter space (EAdS), showing that they can be perturbatively re-cast in terms of corresponding dS boundary correlators in the Bunch-Davies vacuum and in turn, Witten diagrams in EAdS. Unlike the standard relationship between late-time correlators in the Bunch-Davies vacuum and EAdS Witten diagrams, this involves points on the upper and lower sheet of the EAdS hyperboloid which account for antipodal singularities of the two-point functions. Such Bogoliubov states include an infinite one parameter family of de Sitter invariant vacua as a special case, where the late-time correlators are constrained by Conformal Ward identities. In momentum space, it is well known that their late-time correlators exhibit singularities in collinear ("folded") momentum configurations. We give a position space interpretation of such solutions to the conformal Ward identities, where in embedding space they can be generated from the solution without collinear singularities by application of the antipodal map. We also discuss the operator product expansion (OPE) limit of late-time correlators in a generic dS invariant vacuum. Many results are derived using the Mellin space representation of late-time correlators, which in this work we extend to accommodate generic dS invariant vacua.

7.893663

7.712434

8.706727

7.695145

8.200082

7.97688

7.772636

7.580668

7.535294

9.005728

7.378762

7.869937

8.154072

7.846342

8.073521

8.00644

7.763148

7.897532

7.816658

8.215223

7.805601

0904.4270

Nam Nguyen Hoang

Robert G. Leigh and Nam Nguyen Hoang

Real-Time Correlators and Non-Relativistic Holography

13 pages, 3 pdf figures

JHEP 0911:010,2009

10.1088/1126-6708/2009/11/010

null

hep-th

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

We consider Lorentzian correlation functions in theories with non-relativistic Schrodinger symmetry. We employ the method developed by Skenderis and van Rees in which the contour in complex time defining a given correlation function is associated holographically with the gluing together of Euclidean and Lorentzian patches of spacetimes. This formalism extends appropriately to geometries with Schrodinger isometry.

[ { "created": "Mon, 27 Apr 2009 22:51:07 GMT", "version": "v1" }, { "created": "Wed, 2 Sep 2009 20:41:30 GMT", "version": "v2" } ]

2009-11-13

[ [ "Leigh", "Robert G.", "" ], [ "Hoang", "Nam Nguyen", "" ] ]

We consider Lorentzian correlation functions in theories with non-relativistic Schrodinger symmetry. We employ the method developed by Skenderis and van Rees in which the contour in complex time defining a given correlation function is associated holographically with the gluing together of Euclidean and Lorentzian patches of spacetimes. This formalism extends appropriately to geometries with Schrodinger isometry.

12.161052

10.69219

16.254847

12.392652

13.579575

13.026052

11.413688

11.218965

11.345428

15.782144

11.352427

10.630362

11.411448

10.767365

10.275895

10.717113

10.593759

10.841805

11.027363

12.070712

10.828777

hep-th/0110141

Radoslaw Matyszkiewicz

Zygmunt Lalak and Radoslaw Matyszkiewicz

Boundary Terms in Brane Worlds

15 pages, plain Latex, typos corrected

JHEP 0111:027,2001

10.1088/1126-6708/2001/11/027

CERN-TH/2001-260

hep-th

null

We clarify the relation between orbifold and interval pictures in 5d brane worlds. We establish this correspondence for Z_2-even and Z_2-odd orbifold fields. In the interval picture Gibbons-Hawking terms are necessary to fulfill consistency conditions. We show how the brane world consistency conditions arise in the interval picture. We apply the procedure to the situation where the transverse dimension is terminated by naked singularities. In particular, we find the boundary terms needed when the naive vacuum action is infinite.

[ { "created": "Tue, 16 Oct 2001 15:42:47 GMT", "version": "v1" }, { "created": "Wed, 17 Oct 2001 12:34:04 GMT", "version": "v2" }, { "created": "Thu, 25 Oct 2001 18:42:34 GMT", "version": "v3" } ]

2010-02-03

[ [ "Lalak", "Zygmunt", "" ], [ "Matyszkiewicz", "Radoslaw", "" ] ]

We clarify the relation between orbifold and interval pictures in 5d brane worlds. We establish this correspondence for Z_2-even and Z_2-odd orbifold fields. In the interval picture Gibbons-Hawking terms are necessary to fulfill consistency conditions. We show how the brane world consistency conditions arise in the interval picture. We apply the procedure to the situation where the transverse dimension is terminated by naked singularities. In particular, we find the boundary terms needed when the naive vacuum action is infinite.

17.740999

14.900639

15.562052

14.71094

14.686396

14.757561

15.812644

15.017929

14.389893

15.58008

14.785002

14.145501

14.247622

14.110921

14.666447

14.600059

14.912292

14.144045

14.57508

14.395833

14.771996

hep-th/0610193

Robert C. Helling

Robert C. Helling (IU Bremen)

Lessons from the LQG String

null

hep-th gr-qc

null

We give a non-technical description of the differences of quantisation of the bosonic string between the usual Fock-space approach and the treatment inspired by methods of loop quantum gravity termed the LCQ string. We point out the role of covariant states with continuous representations of the Weyl operators versus invariant states leading to discontinuous polymer representations. In the example of the harmonic oscillator we compare the optical absorption spectrum for the two quantisations and find that the question of distinguishability depends on the order in which limits are taken: For a fixed UV cut-off restricting the Hilbert space to a finite dimensional subspace the spectra can be made arbitrarily similar by an appropriate choice of state. However, if the states are chosen first, they differ at high frequencies.

[ { "created": "Tue, 17 Oct 2006 12:11:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Helling", "Robert C.", "", "IU Bremen" ] ]

We give a non-technical description of the differences of quantisation of the bosonic string between the usual Fock-space approach and the treatment inspired by methods of loop quantum gravity termed the LCQ string. We point out the role of covariant states with continuous representations of the Weyl operators versus invariant states leading to discontinuous polymer representations. In the example of the harmonic oscillator we compare the optical absorption spectrum for the two quantisations and find that the question of distinguishability depends on the order in which limits are taken: For a fixed UV cut-off restricting the Hilbert space to a finite dimensional subspace the spectra can be made arbitrarily similar by an appropriate choice of state. However, if the states are chosen first, they differ at high frequencies.

16.096235

18.828674

14.590382

15.485276

17.068521

15.816094

16.460875

14.514138

14.676812

18.161413

15.907919

15.245316

14.478064

14.669006

15.213011

15.031204

15.375422

14.558965

15.118123

14.619272

14.924318

2211.00455

Danijel Obri\'c

D.Obric, B. Nikolic

Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field -- the general case

arXiv admin note: substantial text overlap with arXiv:2203.11651

J. High Energ. Phys. 2022, 78 (2022)

10.1007/JHEP12(2022)078

null

hep-th

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

In this paper we consider non-commutativity that arises from T-duality of bosonic coordinates of type II superstring in presence of coordinate dependent Ramond-Ramond field. Action with such choice of the background fields is not translational invariant. Consequently, we will employ generalization of Buscher procedure that can be applied to cases that have coordinate dependent fields and that do not possess translational isometry. Bosonic part of newly obtained T-dual theory is non-local and defined in non-geometric double space spanned by Lagrange multipliers $y_\mu$ and double coordinate ${\Delta}V_\mu$. We will apply Buscher procedure once more on T-dual theory to check if original theory can be salvaged. Finally, we will use T-dual transformation laws along with Poisson brackets of original theory to derive Poisson bracket structure of T-dual theory.

[ { "created": "Tue, 1 Nov 2022 13:38:45 GMT", "version": "v1" } ]

2024-01-24

[ [ "Obric", "D.", "" ], [ "Nikolic", "B.", "" ] ]

In this paper we consider non-commutativity that arises from T-duality of bosonic coordinates of type II superstring in presence of coordinate dependent Ramond-Ramond field. Action with such choice of the background fields is not translational invariant. Consequently, we will employ generalization of Buscher procedure that can be applied to cases that have coordinate dependent fields and that do not possess translational isometry. Bosonic part of newly obtained T-dual theory is non-local and defined in non-geometric double space spanned by Lagrange multipliers $y_\mu$ and double coordinate ${\Delta}V_\mu$. We will apply Buscher procedure once more on T-dual theory to check if original theory can be salvaged. Finally, we will use T-dual transformation laws along with Poisson brackets of original theory to derive Poisson bracket structure of T-dual theory.

12.908542

11.435756

14.457908

11.970383

12.957217

11.604527

12.054989

12.178173

11.62475

15.696803

11.333087

11.508295

12.468867

12.126366

11.761874

11.68961

11.689485

11.907331

12.036152

11.972451

11.773504

1701.01507

Euihun Joung

Jin-Beom Bae, Euihun Joung and Shailesh Lal

One-Loop Free Energy of Tensionless Type IIB String in AdS$_5\times$S$^5$

14 pages, published version in JHEP

null

10.1007/JHEP06(2017)155

null

hep-th

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

Considering the zero 't Hooft coupling limit of ${\cal N}=4$ super-Yang-Mills theory, the exact spectrum of all single-trace operators can be accessed in terms of the underlying $so(2,4)$ character. This makes it possible in turn to compute the one-loop free energy of the tensionless type IIB string theory in AdS$_5\times$S$^5$ background, with help of the recently developed method of character integral representation of zeta function (CIRZ). We calculate first the one-loop free energy of the string states in the $(p-1)$-th Regge trajectory and find the result to be $p$ times the free energy of a single ${\cal N}=4$ Maxwell multiplet. The full one-loop free energy is hence proportional to the divergent series $\sum_{p=2}^\infty p\,$. The divergence arises as a result of interrupting the regularization procedure in an intermediate stage. With a reorganization of states, we extract the finite part of free energy after summing over the Regge trajectories. This way gives us a finite result which is minus of the free energy of the ${\cal N}=4$ multiplet. Hence, this bulk one-loop result matches the -1 term in the $N^2-1$ factor of the boundary result.

[ { "created": "Thu, 5 Jan 2017 23:43:26 GMT", "version": "v1" }, { "created": "Fri, 30 Jun 2017 04:50:26 GMT", "version": "v2" } ]

2017-08-02

[ [ "Bae", "Jin-Beom", "" ], [ "Joung", "Euihun", "" ], [ "Lal", "Shailesh", "" ] ]

Considering the zero 't Hooft coupling limit of ${\cal N}=4$ super-Yang-Mills theory, the exact spectrum of all single-trace operators can be accessed in terms of the underlying $so(2,4)$ character. This makes it possible in turn to compute the one-loop free energy of the tensionless type IIB string theory in AdS$_5\times$S$^5$ background, with help of the recently developed method of character integral representation of zeta function (CIRZ). We calculate first the one-loop free energy of the string states in the $(p-1)$-th Regge trajectory and find the result to be $p$ times the free energy of a single ${\cal N}=4$ Maxwell multiplet. The full one-loop free energy is hence proportional to the divergent series $\sum_{p=2}^\infty p\,$. The divergence arises as a result of interrupting the regularization procedure in an intermediate stage. With a reorganization of states, we extract the finite part of free energy after summing over the Regge trajectories. This way gives us a finite result which is minus of the free energy of the ${\cal N}=4$ multiplet. Hence, this bulk one-loop result matches the -1 term in the $N^2-1$ factor of the boundary result.

8.519024

8.724278

9.506208

8.383248

8.592889

8.684438

8.724521

8.538921

8.635967

10.05004

8.443987

8.421491

8.653902

8.3571

8.371881

8.265224

8.465951

8.271186

8.456847

8.723407

8.494717

2312.15522

Sergei Adler

Sergei Adler, Hermann Boos

Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II

22 pages

null

hep-th

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

We consider the XXZ spin chain in the scaling limit in the Matsubara direction. The main result of this paper is new representations for the functions $\Psi(l, \kappa)$ and $\Theta(l, m; \kappa, \alpha)$ associated with the function $\omega(\zeta, \xi; \kappa, \kappa)$ found in the expression for the correlation function of the generators of the fermionic basis for the XXZ spin chain. The final result incorporates the case of particle-hole excitations which is needed for the relation of the fermionic basis to the Virasoro basis of the CFT descendants.

[ { "created": "Sun, 24 Dec 2023 16:18:12 GMT", "version": "v1" }, { "created": "Thu, 13 Jun 2024 10:32:52 GMT", "version": "v2" } ]

2024-06-14

[ [ "Adler", "Sergei", "" ], [ "Boos", "Hermann", "" ] ]

We consider the XXZ spin chain in the scaling limit in the Matsubara direction. The main result of this paper is new representations for the functions $\Psi(l, \kappa)$ and $\Theta(l, m; \kappa, \alpha)$ associated with the function $\omega(\zeta, \xi; \kappa, \kappa)$ found in the expression for the correlation function of the generators of the fermionic basis for the XXZ spin chain. The final result incorporates the case of particle-hole excitations which is needed for the relation of the fermionic basis to the Virasoro basis of the CFT descendants.

10.624258

10.647674

11.503618

10.544852

11.706637

11.418527

10.913173

11.496991

11.101113

12.955286

10.038263

10.348009

10.594511

10.424381

10.335185

10.58814

9.987136

10.243682

10.264301

10.322819

10.08951

0704.2666

Ilka Brunner

Marco Baumgartl, Ilka Brunner and Matthias R. Gaberdiel

D-brane superpotentials and RG flows on the quintic

24 pages, 1 figure, v2:Typo in (3.14) corrected

JHEP0707:061,2007

10.1088/1126-6708/2007/07/061

null

hep-th

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

The behaviour of D2-branes on the quintic under complex structure deformations is analysed by combining Landau-Ginzburg techniques with methods from conformal field theory. It is shown that the boundary renormalisation group flow induced by the bulk deformations is realised as a gradient flow of the effective space time superpotential which is calculated explicitly to all orders in the boundary coupling constant.

[ { "created": "Fri, 20 Apr 2007 08:00:19 GMT", "version": "v1" }, { "created": "Fri, 5 Mar 2010 10:21:43 GMT", "version": "v2" } ]

2010-03-05

[ [ "Baumgartl", "Marco", "" ], [ "Brunner", "Ilka", "" ], [ "Gaberdiel", "Matthias R.", "" ] ]

The behaviour of D2-branes on the quintic under complex structure deformations is analysed by combining Landau-Ginzburg techniques with methods from conformal field theory. It is shown that the boundary renormalisation group flow induced by the bulk deformations is realised as a gradient flow of the effective space time superpotential which is calculated explicitly to all orders in the boundary coupling constant.

10.587178

8.185069

13.080289

7.785834

7.582885

7.730938

7.856613

7.985666

7.44916

13.842694

8.052596

8.510279

10.93946

9.217173

8.962113

8.559174

8.693329

8.598495

8.880763

11.156394

8.899775

hep-th/0207181

Andreas Bredthauer

Boundary States and Symplectic Fermions

LaTeX file, 1+11 pages, minor changes

Phys.Lett. B551 (2003) 378-386

10.1016/S0370-2693(02)03061-7

ITP-UH-18/02

hep-th

null

We investigate the set of boundary states in the symplectic fermion description of the logarithmic conformal field theory with central charge c=-2. We show that the thus constructed states correspond exactly to those derived under the restrictions of the maximal chiral symmetry algebra for this model, W(2,3,3,3). This connects our previous work to the coherent state approach of Kawai and Wheater.

[ { "created": "Fri, 19 Jul 2002 12:39:25 GMT", "version": "v1" }, { "created": "Tue, 14 Jan 2003 12:27:46 GMT", "version": "v2" } ]

2010-04-05

[ [ "Bredthauer", "Andreas", "" ] ]

We investigate the set of boundary states in the symplectic fermion description of the logarithmic conformal field theory with central charge c=-2. We show that the thus constructed states correspond exactly to those derived under the restrictions of the maximal chiral symmetry algebra for this model, W(2,3,3,3). This connects our previous work to the coherent state approach of Kawai and Wheater.

13.575396

12.722234

15.979799

12.383976

14.327772

14.949653

13.56425

14.285204

13.320551

16.79888

13.46134

12.005065

13.773474

12.416605

11.815885

12.4062

11.652912

12.538278

12.707738

14.882599

12.50015

1201.5872

Gabriele Honecker

Gabriele Honecker and Joris Vanhoof

Towards the field theory of the Standard Model on fractional D6-branes on T6/Z6': Yukawa couplings and masses

6 pages, 2 figures, 4 tables; proceedings of the "XVII European Workshop on String Theory 2011", Padova, Italy, 5-9 September 2011

Fortsch.Phys. 60 (2012) 1050-1056

10.1002/prop.201200016

MZ-TH/12-08

hep-th

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

We present the perturbative Yukawa couplings of the Standard Model on fractional intersecting D6-branes on T6/Z6' and discuss two mechanisms of creating mass terms for the vector-like particles in the matter spectrum, through perturbative three-point couplings and through continuous D6-brane displacements.

[ { "created": "Fri, 27 Jan 2012 19:43:13 GMT", "version": "v1" } ]

2012-10-08

[ [ "Honecker", "Gabriele", "" ], [ "Vanhoof", "Joris", "" ] ]

We present the perturbative Yukawa couplings of the Standard Model on fractional intersecting D6-branes on T6/Z6' and discuss two mechanisms of creating mass terms for the vector-like particles in the matter spectrum, through perturbative three-point couplings and through continuous D6-brane displacements.

15.629208

11.70398

15.316796

12.328778

12.478702

12.416643

11.236876

12.844426

10.69661

17.074524

10.897321

11.664001

14.784963

12.477241

12.384325

12.328163

12.483947

12.917836

12.699602

15.876349

12.483894

hep-th/0702058

Valeri Dvoeglazov

Valeri V. Dvoeglazov

The Barut Second-Order Equation: Lagrangian, Dynamical Invariants and Interactions

8 pages, no figures. The talk given at the Int. Conf. on Clifford Algebras and Applications (ICCA7), Toulouse, France, May 19-29, 2005. To be published in the Proceedings

Adv.Appl.Clifford Algebras.18:579-585,2008

10.1007/s00006-008-0092-9

null

hep-th math-ph math.MP physics.class-ph

null

The second-order equation in the (1/2,0)+(0,1/2) representation of the Lorentz group has been proposed by A. Barut in the 70s. It permits to explain the mass splitting of leptons (e,mu,tau). Recently, the interest has grown to this model (see, for instance, the papers by S. Kruglov and J. P. Vigier et al). We continue the research deriving the equation from the first principles, finding dynamical invariants for this model, investigating the influence of potential interactions.

[ { "created": "Wed, 7 Feb 2007 23:40:32 GMT", "version": "v1" } ]

2011-09-13

[ [ "Dvoeglazov", "Valeri V.", "" ] ]

The second-order equation in the (1/2,0)+(0,1/2) representation of the Lorentz group has been proposed by A. Barut in the 70s. It permits to explain the mass splitting of leptons (e,mu,tau). Recently, the interest has grown to this model (see, for instance, the papers by S. Kruglov and J. P. Vigier et al). We continue the research deriving the equation from the first principles, finding dynamical invariants for this model, investigating the influence of potential interactions.

12.035478

11.732668

12.390781

11.420514

11.664182

12.395776

12.497095

11.198605

12.326177

12.67913

11.381983

10.750385

11.119361

10.782339

10.853317

11.046458

10.871616

11.45319

10.689062

11.033724

10.852452

hep-th/9412004

Neil Lambert

N.D. Lambert

Topological Massive Sigma Models

20 pages, Phyzzx. Revised version to appear in Nucl. Phys. B. The construction of the model is clarified and there are a few minor changes

Nucl.Phys. B445 (1995) 169-181

10.1016/0550-3213(95)00211-A

DAMTP R/94/55

hep-th

null

In this paper we construct topological sigma models which include a potential and are related to twisted massive supersymmetric sigma models. Contrary to a previous construction these models have no central charge and do not require the manifold to admit a Killing vector. We use the topological massive sigma model constructed here to simplify the calculation of the observables. Lastly it is noted that this model can be viewed as interpolating between topological massless sigma models and topological Landau-Ginzburg models.

[ { "created": "Thu, 1 Dec 1994 11:57:00 GMT", "version": "v1" }, { "created": "Wed, 3 May 1995 22:15:00 GMT", "version": "v2" } ]

2009-10-28

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

In this paper we construct topological sigma models which include a potential and are related to twisted massive supersymmetric sigma models. Contrary to a previous construction these models have no central charge and do not require the manifold to admit a Killing vector. We use the topological massive sigma model constructed here to simplify the calculation of the observables. Lastly it is noted that this model can be viewed as interpolating between topological massless sigma models and topological Landau-Ginzburg models.

9.425694

10.051991

9.685169

8.922954

9.166663

9.485943

8.970497

8.993523

9.853792

10.689231

9.02753

8.854066

9.491872

8.77225

8.700414

8.982659

8.905708

8.654729

8.838717

9.906489

8.602343

1204.3802

Sujay Ashok

Sujay K. Ashok and Jan Troost

Elliptic Genera of Non-compact Gepner Models and Mirror Symmetry

29 pages

null

10.1007/JHEP07(2012)005

null

hep-th

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

We consider tensor products of N=2 minimal models and non-compact conformal field theories with N=2 superconformal symmetry, and their orbifolds. The elliptic genera of these models give rise to a large and interesting class of real Jacobi forms. The tensor product of conformal field theories leads to a natural product on the space of completed mock modular forms. We exhibit families of non-compact mirror pairs of orbifold models with c=9 and show explicitly the equality of elliptic genera, including contributions from the long multiplet sector. The Liouville and cigar deformed elliptic genera transform into each other under the mirror transformation.

[ { "created": "Tue, 17 Apr 2012 14:37:52 GMT", "version": "v1" }, { "created": "Wed, 27 Jun 2012 02:05:08 GMT", "version": "v2" } ]

2015-06-04

[ [ "Ashok", "Sujay K.", "" ], [ "Troost", "Jan", "" ] ]

We consider tensor products of N=2 minimal models and non-compact conformal field theories with N=2 superconformal symmetry, and their orbifolds. The elliptic genera of these models give rise to a large and interesting class of real Jacobi forms. The tensor product of conformal field theories leads to a natural product on the space of completed mock modular forms. We exhibit families of non-compact mirror pairs of orbifold models with c=9 and show explicitly the equality of elliptic genera, including contributions from the long multiplet sector. The Liouville and cigar deformed elliptic genera transform into each other under the mirror transformation.

11.139307

10.685424

12.496273

9.869142

11.92486

11.607253

10.434435

9.784628

10.069117

14.59187

10.348666

10.542215

11.181247

10.389228

10.287244

10.769452

11.166144

10.633251

10.196012

12.039338

10.232922

0801.1117

Krishna Rajagopal

Christiana Athanasiou, Hong Liu, Krishna Rajagopal

Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma

26 pages, 8 figures. Version to appear in JHEP. Footnotes and references added

JHEP0805:083,2008

10.1088/1126-6708/2008/05/083

MIT-CTP-3919

hep-th hep-ph nucl-th

null

The L-dependence of the static potential between Nc quarks arranged in a circle of radius L (a "baryon") immersed in the hot plasma of a gauge theory with Nc colors defines a screening length Ls. We use the AdS/CFT correspondence to compute this screening length for the case of heavy quarks in the plasma of strongly coupled N=4 super Yang-Mills theory moving with velocity v relative to the baryon. We find that in the v -> 1 limit, Ls \propto (1-v^2)^{1/4}/T, and find that corrections to this velocity dependence are small at lower velocities. This result provides evidence for the robustness of the analogous behavior of the screening length defined by the static quark-antiquark pair, which has been computed previously and in QCD is relevant to quarkonium physics in heavy ion collisions. Our results also show that as long as the hot wind is not blowing precisely perpendicular to the plane of the baryon configuration that we analyze, the Nc different quarks are not all affected by the wind velocity to the same degree, with those quarks lying perpendicular to the wind direction screened most effectively.

[ { "created": "Mon, 7 Jan 2008 21:09:28 GMT", "version": "v1" }, { "created": "Sat, 2 Feb 2008 18:12:53 GMT", "version": "v2" }, { "created": "Mon, 12 May 2008 19:56:14 GMT", "version": "v3" } ]

2008-11-26

[ [ "Athanasiou", "Christiana", "" ], [ "Liu", "Hong", "" ], [ "Rajagopal", "Krishna", "" ] ]

The L-dependence of the static potential between Nc quarks arranged in a circle of radius L (a "baryon") immersed in the hot plasma of a gauge theory with Nc colors defines a screening length Ls. We use the AdS/CFT correspondence to compute this screening length for the case of heavy quarks in the plasma of strongly coupled N=4 super Yang-Mills theory moving with velocity v relative to the baryon. We find that in the v -> 1 limit, Ls \propto (1-v^2)^{1/4}/T, and find that corrections to this velocity dependence are small at lower velocities. This result provides evidence for the robustness of the analogous behavior of the screening length defined by the static quark-antiquark pair, which has been computed previously and in QCD is relevant to quarkonium physics in heavy ion collisions. Our results also show that as long as the hot wind is not blowing precisely perpendicular to the plane of the baryon configuration that we analyze, the Nc different quarks are not all affected by the wind velocity to the same degree, with those quarks lying perpendicular to the wind direction screened most effectively.

8.308661

8.482988

9.002696

7.961433

8.066148

8.482628

8.747183

8.221542

7.682809

9.232202

8.334603

8.300085

8.275122

8.100288

8.023182

8.157222

8.070153

8.180783

8.010743

8.002542

7.943135

2404.12881

Carlo Pagani

Carlo Pagani, Hidenori Sonoda

On the field independent additive constant in Wilson actions

21 pages

null

hep-th

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

We discuss the field independent additive constant in Wilson actions carefully within the exact renormalization group formalism. The additive constant does not affect the correlation functions of fields normalized by the partition function, and for that reason it is often ignored. But it is an essential part of the partition function, and in the limit where the UV cutoff goes to zero, the constant gives a renormalized vacuum energy density. We discuss two concrete examples: the Gaussian theory and the linear sigma model in the large $N$ limit.

[ { "created": "Fri, 19 Apr 2024 13:30:08 GMT", "version": "v1" } ]

2024-04-22

[ [ "Pagani", "Carlo", "" ], [ "Sonoda", "Hidenori", "" ] ]

We discuss the field independent additive constant in Wilson actions carefully within the exact renormalization group formalism. The additive constant does not affect the correlation functions of fields normalized by the partition function, and for that reason it is often ignored. But it is an essential part of the partition function, and in the limit where the UV cutoff goes to zero, the constant gives a renormalized vacuum energy density. We discuss two concrete examples: the Gaussian theory and the linear sigma model in the large $N$ limit.

10.384857

9.512265

10.944925

9.060339

9.505576

8.946741

9.003239

9.333423

8.8207

11.480033

9.209711

9.597079

10.716261

9.825387

9.709083

9.454605

9.638908

9.346906

9.536961

10.357068

9.842284

1407.8493

Hoang Nam Cao

Cao H. Nam

A covariantly foliated higher dimensional space-time: Implications for short distance gravity and BSM physics

33 pages, 1 figure. Improved version with some rewriting, title changed

null

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

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

We consider the space-time at short distances in which it is described by a $D$-dimensional manifold (bulk) carrying out the principal bundle structure. As a result, this space-time manifold is foliated in the covariant way by the $(D-4)$-dimensional submanifolds, realized as the space-like internal spaces, that are smooth copies of the Lie group $G$ considered in this paper as the special unitary group. The submanifolds being transversal to the internal spaces are realized as the external spaces and in fact identified as the usual $4$-dimensional world. The fundamental degrees of freedom determining the geometrical dynamics of the bulk corresponding with short distance gravity are given by the gauge fields, the external metric field and the modulus fields setting dynamically the volume of the internal spaces. These gauge fields laying the bulk is to point precisely out the local directions of the external spaces which depend on the topological non-triviality of the space-time principal bundle. The physical size of the internal spaces is fixed dynamically by the moduli stabilization potential which completely arise from the intrinsic geometry of the bulk. A detail description of the low energy bulk gravity in the weak field limit is given around the classical ground state of the bulk. Additionally, we investigate the dynamics of the fundamentally $4$-dimensional Weyl spinor fields and the fields of carrying out the non-trivial representations of the Lie group $G$ propagating in the bulk in a detail study. These results suggest naturally the possible solutions to some the experimental problems of Standard Model, the smallness of the observed neutrino masses and a dark matter candidate.

[ { "created": "Thu, 31 Jul 2014 17:21:01 GMT", "version": "v1" }, { "created": "Mon, 10 Nov 2014 10:51:42 GMT", "version": "v2" } ]

2014-11-12

[ [ "Nam", "Cao H.", "" ] ]

We consider the space-time at short distances in which it is described by a $D$-dimensional manifold (bulk) carrying out the principal bundle structure. As a result, this space-time manifold is foliated in the covariant way by the $(D-4)$-dimensional submanifolds, realized as the space-like internal spaces, that are smooth copies of the Lie group $G$ considered in this paper as the special unitary group. The submanifolds being transversal to the internal spaces are realized as the external spaces and in fact identified as the usual $4$-dimensional world. The fundamental degrees of freedom determining the geometrical dynamics of the bulk corresponding with short distance gravity are given by the gauge fields, the external metric field and the modulus fields setting dynamically the volume of the internal spaces. These gauge fields laying the bulk is to point precisely out the local directions of the external spaces which depend on the topological non-triviality of the space-time principal bundle. The physical size of the internal spaces is fixed dynamically by the moduli stabilization potential which completely arise from the intrinsic geometry of the bulk. A detail description of the low energy bulk gravity in the weak field limit is given around the classical ground state of the bulk. Additionally, we investigate the dynamics of the fundamentally $4$-dimensional Weyl spinor fields and the fields of carrying out the non-trivial representations of the Lie group $G$ propagating in the bulk in a detail study. These results suggest naturally the possible solutions to some the experimental problems of Standard Model, the smallness of the observed neutrino masses and a dark matter candidate.

13.025318

14.07161

12.884288

13.146931

13.823697

14.132708

14.593982

13.288681

13.262449

14.125526

13.132624

13.116343

12.809678

12.870377

12.638494

12.861691

13.029263

12.914969

12.662176

13.01232

12.694062

hep-th/0109072

Chand Devchand

Chandrashekar Devchand and Jean Nuyts

Super self-duality for Yang-Mills fields in dimensions greater than four

51 pages, latex

JHEP 0112 (2001) 020

10.1088/1126-6708/2001/12/020

null

hep-th

null

Self-duality equations for Yang-Mills fields in d-dimensional Euclidean spaces consist of linear algebraic relations amongst the components of the curvature tensor which imply the Yang-Mills equations. For the extension to superspace gauge fields, the super self-duality equations are investigated, namely, systems of linear algebraic relations on the components of the supercurvature, which imply the self-duality equations on the even part of superspace. A group theory based algorithm for finding such systems is developed. Representative examples in various dimensions are provided, including the Spin(7) and G(2) invariant systems in d=8 and 7, respectively.

[ { "created": "Sat, 8 Sep 2001 11:20:00 GMT", "version": "v1" } ]

2009-11-07

[ [ "Devchand", "Chandrashekar", "" ], [ "Nuyts", "Jean", "" ] ]

Self-duality equations for Yang-Mills fields in d-dimensional Euclidean spaces consist of linear algebraic relations amongst the components of the curvature tensor which imply the Yang-Mills equations. For the extension to superspace gauge fields, the super self-duality equations are investigated, namely, systems of linear algebraic relations on the components of the supercurvature, which imply the self-duality equations on the even part of superspace. A group theory based algorithm for finding such systems is developed. Representative examples in various dimensions are provided, including the Spin(7) and G(2) invariant systems in d=8 and 7, respectively.

8.572691

7.72538

9.332108

8.082581

8.398537

7.871593

8.092343

7.53111

7.932208

10.516386

7.919938

8.073571

8.573654

7.859189

7.895072

7.93525

7.703777

7.78459

8.230773

8.587412

7.79915

0707.1697

Willie Merrell II

Willie Merrell and Diana Vaman

T-duality, quotients and generalized Kahler geometry

18 pages

Phys.Lett.B665:401-408,2008

10.1016/j.physletb.2008.06.031

null

hep-th

null

In this paper we reopen the discussion of gauging the two-dimensional off-shell (2,2) supersymmetric sigma models written in terms of semichiral superfields. The associated target space geometry of this particular sigma model is generalized Kahler (or bi-hermitean with two non-commuting complex structures). The gauging of the isometries of the sigma model is now done by coupling the semichiral superfields to the new (2,2) semichiral vector multiplet. We show that the two moment maps together with a third function form the complete set of three Killing potentials which are associated with this gauging. We show that the Killing potentials lead to the generalized moment maps defined in the context of twisted generalized Kahler geometry. Next we address the question of the T-duality map, while keeping the (2,2) supersymmetry manifest. Using the new vector superfield in constructing the duality functional, under T-duality we swap a pair of left and right semichiral superfields by a pair of chiral and twisted chiral multiplets. We end with a discussion on quotient construction.

[ { "created": "Thu, 12 Jul 2007 19:38:05 GMT", "version": "v1" } ]

2008-11-26

[ [ "Merrell", "Willie", "" ], [ "Vaman", "Diana", "" ] ]

In this paper we reopen the discussion of gauging the two-dimensional off-shell (2,2) supersymmetric sigma models written in terms of semichiral superfields. The associated target space geometry of this particular sigma model is generalized Kahler (or bi-hermitean with two non-commuting complex structures). The gauging of the isometries of the sigma model is now done by coupling the semichiral superfields to the new (2,2) semichiral vector multiplet. We show that the two moment maps together with a third function form the complete set of three Killing potentials which are associated with this gauging. We show that the Killing potentials lead to the generalized moment maps defined in the context of twisted generalized Kahler geometry. Next we address the question of the T-duality map, while keeping the (2,2) supersymmetry manifest. Using the new vector superfield in constructing the duality functional, under T-duality we swap a pair of left and right semichiral superfields by a pair of chiral and twisted chiral multiplets. We end with a discussion on quotient construction.

8.972106

9.066031

10.514627

9.086477

9.252346

9.205492

8.96817

8.838698

8.674079

11.972886

8.447114

8.753365

9.966805

8.91721

8.929404

9.000513

9.210822

9.122598

8.777592

9.713062

8.804206

hep-th/9707046

Jean-Bernard Zuber

Generalized Dynkin diagrams and root systems and their folding

plain tex, 7 figures

null

SPhT/97078

hep-th

null

Graphs which generalize the simple or affine Dynkin diagrams are introduced. Each diagram defines a bilinear form on a root system and thus a reflection group. We present some properties of these groups and of their natural "Coxeter element". The folding of these graphs and groups is also discussed, using the theory of C-algebras. (Proceedings of the Taniguchi Symposium {Topological Field Theory, Primitive Forms and Related Topics}, Kyoto Dec 1996)

[ { "created": "Thu, 3 Jul 1997 16:27:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zuber", "Jean-Bernard", "" ] ]

Graphs which generalize the simple or affine Dynkin diagrams are introduced. Each diagram defines a bilinear form on a root system and thus a reflection group. We present some properties of these groups and of their natural "Coxeter element". The folding of these graphs and groups is also discussed, using the theory of C-algebras. (Proceedings of the Taniguchi Symposium {Topological Field Theory, Primitive Forms and Related Topics}, Kyoto Dec 1996)

13.456921

13.707502

20.071535

13.933386

12.283161

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14.615512

19.181854

14.028913

11.327188

13.553733

11.374051

12.717646

12.163908

11.151175

11.489264

11.255863

13.746655

12.905717

1703.01269

Fei Teng

Fei Teng and Bo Feng

Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame

36 pages, 3 captioned figures; v2: more details added, revised and published version

null

10.1007/JHEP05(2017)075

null

hep-th

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

Using the Cachazo-He-Yuan (CHY) formalism, we prove a recursive expansion of tree level single trace Einstein-Yang-Mills (EYM) amplitudes with arbitrary number of gluons and gravitons, which is valid for general spacetime dimensions and any helicity configurations. The recursion is written in terms of fewer-graviton EYM amplitudes and pure Yang-Mills (YM) amplitudes, which can be further carried out until we reach an expansion in terms of pure YM amplitudes in Kleiss-Kuijf (KK) basis. Our expansion then generates naturally a spanning tree structure rooted on gluons whose vertices are gravitons. We further propose a set of graph theoretical rules based on spanning trees that evaluate directly the pure YM expansion coefficients.

[ { "created": "Fri, 3 Mar 2017 18:01:11 GMT", "version": "v1" }, { "created": "Fri, 19 May 2017 02:57:34 GMT", "version": "v2" } ]

2017-05-22

[ [ "Teng", "Fei", "" ], [ "Feng", "Bo", "" ] ]

Using the Cachazo-He-Yuan (CHY) formalism, we prove a recursive expansion of tree level single trace Einstein-Yang-Mills (EYM) amplitudes with arbitrary number of gluons and gravitons, which is valid for general spacetime dimensions and any helicity configurations. The recursion is written in terms of fewer-graviton EYM amplitudes and pure Yang-Mills (YM) amplitudes, which can be further carried out until we reach an expansion in terms of pure YM amplitudes in Kleiss-Kuijf (KK) basis. Our expansion then generates naturally a spanning tree structure rooted on gluons whose vertices are gravitons. We further propose a set of graph theoretical rules based on spanning trees that evaluate directly the pure YM expansion coefficients.

8.194638

6.957955

9.072864

6.383397

6.772945

6.489553

6.536227

6.967203

6.627429

9.092418

6.540664

7.03479

7.365789

6.839985

7.059185

6.831007

6.894173

7.121842

6.933022

7.875632

7.172015

1710.04497

Darren T. Grasso

D. T. Grasso, I. N. McArthur

Deriving all p-brane superalgebras via integrability

26 pages, table added, typos corrected, a few remarks added for clarification

null

10.1016/j.nuclphysb.2018.01.026

null

hep-th

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

In previous work we demonstrated that the enlarged super-Poincare algebras which underlie p-brane and D-brane actions in superstring theory can be directly determined based on the integrability of supersymmetry transformations assigned to fields appearing in Wess-Zumino terms. In that work we derived p-brane superalgebras for p = 2 and 3. Here we extend our previous results and give a compact expression for superalgebras for all valid p.

[ { "created": "Thu, 12 Oct 2017 13:23:00 GMT", "version": "v1" }, { "created": "Sat, 3 Feb 2018 15:47:36 GMT", "version": "v2" } ]

2018-03-14

[ [ "Grasso", "D. T.", "" ], [ "McArthur", "I. N.", "" ] ]

In previous work we demonstrated that the enlarged super-Poincare algebras which underlie p-brane and D-brane actions in superstring theory can be directly determined based on the integrability of supersymmetry transformations assigned to fields appearing in Wess-Zumino terms. In that work we derived p-brane superalgebras for p = 2 and 3. Here we extend our previous results and give a compact expression for superalgebras for all valid p.

10.103098

8.872393

9.672623

9.169885

9.962958

9.201665

9.161671

8.680358

8.764769

11.206529

8.856639

8.765579

9.802931

8.96262

9.060841

9.037634

8.838582

8.994601

9.018714

9.64136

8.778931

1411.2523

Luca S. G. Betti

Effective gravitational fields in transplanckian scattering

Graduation Thesis, 101 pages

null

hep-th

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

After a short introduction to the general Quantum Gravity problem, we compare a result from the S-matrix description of gravitational interaction due to Amati, Ciafaloni and Veneziano (ACV) with classical General Relativity results. In Chapter 1, we introduce the metric produced by a massless particle moving at the speed of light. In Chapter 2, we review ACV's semiclassical approach to gravitation and show some of its result. In Chapter 3, we detail the computation of gravitational field expectation values in a high-energy scattering process, following ACV's prescriptions. In Chapter 4, we analyze our results. The main feature is that the leading contributions to the metric computed in terms of the Feynman diagrams deriving from ACV's model perfectly reproduce classical results.

[ { "created": "Mon, 10 Nov 2014 18:27:29 GMT", "version": "v1" } ]

2018-02-26

[ [ "Betti", "Luca S. G.", "" ] ]

After a short introduction to the general Quantum Gravity problem, we compare a result from the S-matrix description of gravitational interaction due to Amati, Ciafaloni and Veneziano (ACV) with classical General Relativity results. In Chapter 1, we introduce the metric produced by a massless particle moving at the speed of light. In Chapter 2, we review ACV's semiclassical approach to gravitation and show some of its result. In Chapter 3, we detail the computation of gravitational field expectation values in a high-energy scattering process, following ACV's prescriptions. In Chapter 4, we analyze our results. The main feature is that the leading contributions to the metric computed in terms of the Feynman diagrams deriving from ACV's model perfectly reproduce classical results.

9.592018

10.249953

9.547321

9.715791

10.718469

9.568516

9.961525

10.294664

9.34659

9.755176

9.186014

9.272873

9.197675

8.94359

9.249881

9.378672

9.112981

9.126128

9.034844

9.148403

8.865075

hep-th/0205063

Cosmas Zachos

Thomas L Curtright and Cosmas K Zachos

Deformation Quantization of Superintegrable Systems and Nambu Mechanics

LateX2e, 18 pages

New J.Phys.4:83,2002

10.1088/1367-2630/4/1/383

ANL-HEP-PR-02-030

hep-th math-ph math.MP

null

Phase Space is the framework best suited for quantizing superintegrable systems, naturally preserving the symmetry algebras of the respective hamiltonian invariants. The power and simplicity of the method is fully illustrated through new applications to nonlinear sigma models, specifically for de Sitter N-spheres and Chiral Models, where the symmetric quantum hamiltonians amount to compact and elegant expressions. Additional power and elegance is provided by the use of Nambu Brackets to incorporate the extra invariants of superintegrable models. Some new classical results are given for these brackets, and their quantization is successfully compared to that of Moyal, validating Nambu's original proposal.

[ { "created": "Tue, 7 May 2002 16:08:32 GMT", "version": "v1" }, { "created": "Fri, 14 Jun 2002 15:48:13 GMT", "version": "v2" }, { "created": "Tue, 25 Jun 2002 13:56:04 GMT", "version": "v3" }, { "created": "Wed, 9 Oct 2002 15:36:40 GMT", "version": "v4" } ]

2009-10-02

[ [ "Curtright", "Thomas L", "" ], [ "Zachos", "Cosmas K", "" ] ]

Phase Space is the framework best suited for quantizing superintegrable systems, naturally preserving the symmetry algebras of the respective hamiltonian invariants. The power and simplicity of the method is fully illustrated through new applications to nonlinear sigma models, specifically for de Sitter N-spheres and Chiral Models, where the symmetric quantum hamiltonians amount to compact and elegant expressions. Additional power and elegance is provided by the use of Nambu Brackets to incorporate the extra invariants of superintegrable models. Some new classical results are given for these brackets, and their quantization is successfully compared to that of Moyal, validating Nambu's original proposal.

21.219027

16.318501

21.809689

16.826248

16.445724

16.431673

16.225895

15.756898

17.85475

27.071821

17.370081

19.758766

20.866577

19.603428

19.016964

19.229622

18.839119

19.101574

18.371899

21.298695

19.980755

1907.08161

Bartomeu Fiol

Bartomeu Fiol, Jairo Mart\'inez-Montoya

On scalar radiation

14 pages. v2: important typo fixed in equation (25). Minor edits. v3: Expanded version with a new section. A new computation has been added, showing that the full one-point function of the energy density in ${\cal N}=4$ SYM in the presence of a 1/2-BPS probe, displays the same spacetime dependence at weak and strong 't Hooft coupling. v4: tiny typo fixed

null

10.1007/JHEP03(2020)087

null

hep-th

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

We discuss radiation in theories with scalar fields. Our key observation is that even in flat spacetime, the radiative fields depend qualitatively on the coupling of the scalar field to the Ricci scalar: for non-minimally coupled scalars, the radiative energy density is not positive definite, the radiated power is not Lorentz invariant and it depends on the derivative of the acceleration. We explore implications of this observation for radiation in conformal field theories. First, we find a relation between two coefficients that characterize radiation, that holds in all the conformal field theories we consider. Furthermore, we find evidence that for a $1/2$-BPS probe coupled to ${\cal N}=4$ super Yang-Mills, and following an arbitrary trajectory, the spacetime dependence of the one-point function of the energy-momentum tensor is independent of the Yang-Mills coupling.

[ { "created": "Thu, 18 Jul 2019 17:02:51 GMT", "version": "v1" }, { "created": "Thu, 25 Jul 2019 10:57:31 GMT", "version": "v2" }, { "created": "Wed, 6 Nov 2019 18:10:44 GMT", "version": "v3" }, { "created": "Wed, 13 Nov 2019 17:56:54 GMT", "version": "v4" } ]

2020-04-22

[ [ "Fiol", "Bartomeu", "" ], [ "Martínez-Montoya", "Jairo", "" ] ]

We discuss radiation in theories with scalar fields. Our key observation is that even in flat spacetime, the radiative fields depend qualitatively on the coupling of the scalar field to the Ricci scalar: for non-minimally coupled scalars, the radiative energy density is not positive definite, the radiated power is not Lorentz invariant and it depends on the derivative of the acceleration. We explore implications of this observation for radiation in conformal field theories. First, we find a relation between two coefficients that characterize radiation, that holds in all the conformal field theories we consider. Furthermore, we find evidence that for a $1/2$-BPS probe coupled to ${\cal N}=4$ super Yang-Mills, and following an arbitrary trajectory, the spacetime dependence of the one-point function of the energy-momentum tensor is independent of the Yang-Mills coupling.

7.741514

8.241282

7.99547

7.659198

7.702576

8.000887

7.987442

7.827326

7.60254

8.294771

7.63829

7.357546

7.73526

7.394611

7.356183

7.430239

7.389146

7.3115

7.473549

7.697077

7.529428

hep-th/9402040

Stoyan Toshev

Pierre Minnaert and Stoyan Toshev

Racah Sum Rule and Biedenharn-Elliott Identity for the Super-Rotation $6-j$ symbols

9 pages. Two misprints corrected

J.Math.Phys. 35 (1994) 5057-5064

10.1063/1.530831

LPTB-94-01

hep-th math.QA

null

It is shown that the well known Racah sum rule and Biedenharn-Elliott identity satisfied by the recoupling coefficients or by the $6-j$ symbols of the usual rotation $SO(3)$ algebra can be extended to the corresponding features of the super-rotation $osp(1|2)$ superalgebra. The structure of the sum rules is completely similar in both cases, the only difference concerns the signs which are more involved in the super-rotation case.

[ { "created": "Tue, 8 Feb 1994 10:45:07 GMT", "version": "v1" }, { "created": "Wed, 9 Feb 1994 15:31:06 GMT", "version": "v2" }, { "created": "Thu, 10 Feb 1994 08:46:42 GMT", "version": "v3" }, { "created": "Wed, 9 Mar 1994 09:13:12 GMT", "version": "v4" } ]

2009-10-28

[ [ "Minnaert", "Pierre", "" ], [ "Toshev", "Stoyan", "" ] ]

It is shown that the well known Racah sum rule and Biedenharn-Elliott identity satisfied by the recoupling coefficients or by the $6-j$ symbols of the usual rotation $SO(3)$ algebra can be extended to the corresponding features of the super-rotation $osp(1|2)$ superalgebra. The structure of the sum rules is completely similar in both cases, the only difference concerns the signs which are more involved in the super-rotation case.

7.995357

7.713563

7.539129

7.33231

8.130713

7.913724

7.890024

8.143226

7.403392

8.892378

7.79688

7.834451

7.797346

7.616917

7.5969

7.737463

7.538956

7.596048

7.851443

7.624744

7.764431

hep-th/0012213

Albrecht Klemm

G. Curio, A. Klemm, D. Luest and S. Theisen

On the Vacuum Structure of Type II String Compactifications on Calabi-Yau Spaces with H-Fluxes

47 pages, 4 eps figures, references added

Nucl.Phys.B609:3-45,2001

10.1016/S0550-3213(01)00285-1

HU-EP-00/58, AEI-2000-84

hep-th

null

We discuss the vacuum structure of type IIA/B Calabi-Yau string compactifications to four dimensions in the presence of n-form H-fluxes. These will lift the vacuum degeneracy in the Calabi-Yau moduli space, and for generic points in the moduli space, N=2 supersymmetry will be broken. However, for certain `aligned' choices of the H-flux vector, supersymmetric ground states are possible at the degeneration points of the Calabi-Yau geometry. We will investigate in detail the H-flux induced superpotential and the corresponding scalar potential at several degeneration points, such as the Calabi-Yau large volume limit, the conifold loci, the Seiberg-Witten points, the strong coupling point and the conformal points. Some emphasis is given to the question whether partial supersymmetry breaking can be realized at those points. We also relate the H-flux induced superpotential to the formalism of gauged N=2 supergravity. Finally we point out the analogies between the Calabi-Yau vacuum structure due to H-fluxes and the attractor formalism of N=2 black holes.

[ { "created": "Thu, 21 Dec 2000 16:47:12 GMT", "version": "v1" }, { "created": "Fri, 19 Jan 2001 20:12:04 GMT", "version": "v2" } ]

2010-12-03

[ [ "Curio", "G.", "" ], [ "Klemm", "A.", "" ], [ "Luest", "D.", "" ], [ "Theisen", "S.", "" ] ]

We discuss the vacuum structure of type IIA/B Calabi-Yau string compactifications to four dimensions in the presence of n-form H-fluxes. These will lift the vacuum degeneracy in the Calabi-Yau moduli space, and for generic points in the moduli space, N=2 supersymmetry will be broken. However, for certain `aligned' choices of the H-flux vector, supersymmetric ground states are possible at the degeneration points of the Calabi-Yau geometry. We will investigate in detail the H-flux induced superpotential and the corresponding scalar potential at several degeneration points, such as the Calabi-Yau large volume limit, the conifold loci, the Seiberg-Witten points, the strong coupling point and the conformal points. Some emphasis is given to the question whether partial supersymmetry breaking can be realized at those points. We also relate the H-flux induced superpotential to the formalism of gauged N=2 supergravity. Finally we point out the analogies between the Calabi-Yau vacuum structure due to H-fluxes and the attractor formalism of N=2 black holes.

6.210807

6.493104

7.002141

6.483412

6.360877

6.01019

6.574635

6.499109

5.987095

7.767769

6.125053

6.269458

6.429095

6.233491

6.235199

6.383546

6.260714

6.118645

6.16445

6.29422

5.981122

1703.04830

Mahmoud Safari

Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca, Omar Zanusso

Leading CFT constraints on multi-critical models in d>2

29 pages, 1 figure; V2: references added, minor improvements, to appear in JHEP

null

10.1007/JHEP04(2017)127

null

hep-th cond-mat.stat-mech

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

We consider the family of renormalizable scalar QFTs with self-interacting potentials of highest monomial $\phi^{m}$ below their upper critical dimensions $d_c=\frac{2m}{m-2}$, and study them using a combination of CFT constraints, Schwinger-Dyson equation and the free theory behavior at the upper critical dimension. For even integers $m \ge 4$ these theories coincide with the Landau-Ginzburg description of multi-critical phenomena and interpolate with the unitary minimal models in $d=2$, while for odd $m$ the theories are non-unitary and start at $m=3$ with the Lee-Yang universality class. For all the even potentials and for the Lee-Yang universality class, we show how the assumption of conformal invariance is enough to compute the scaling dimensions of the local operators $\phi^k$ and of some families of structure constants in either the coupling's or the $\epsilon$-expansion. For all other odd potentials we express some scaling dimensions and structure constants in the coupling's expansion.

[ { "created": "Tue, 14 Mar 2017 23:30:33 GMT", "version": "v1" }, { "created": "Thu, 20 Apr 2017 15:38:23 GMT", "version": "v2" } ]

2017-07-04

[ [ "Codello", "Alessandro", "" ], [ "Safari", "Mahmoud", "" ], [ "Vacca", "Gian Paolo", "" ], [ "Zanusso", "Omar", "" ] ]

We consider the family of renormalizable scalar QFTs with self-interacting potentials of highest monomial $\phi^{m}$ below their upper critical dimensions $d_c=\frac{2m}{m-2}$, and study them using a combination of CFT constraints, Schwinger-Dyson equation and the free theory behavior at the upper critical dimension. For even integers $m \ge 4$ these theories coincide with the Landau-Ginzburg description of multi-critical phenomena and interpolate with the unitary minimal models in $d=2$, while for odd $m$ the theories are non-unitary and start at $m=3$ with the Lee-Yang universality class. For all the even potentials and for the Lee-Yang universality class, we show how the assumption of conformal invariance is enough to compute the scaling dimensions of the local operators $\phi^k$ and of some families of structure constants in either the coupling's or the $\epsilon$-expansion. For all other odd potentials we express some scaling dimensions and structure constants in the coupling's expansion.

6.225514

6.805453

8.020048

6.890207

7.005257

7.251241

6.819191

6.859359

6.67757

8.942918

6.351592

6.300772

7.042406

6.507739

6.509098

6.468113

6.335305

6.318459

6.543227

6.972769

6.281469

1107.5324

Korkut Bardakci

Field Theory On The World Sheet: Improvements And Generalizations

29 pages, 5 figures, several typos and eqs.(74) and (75) are corrected, a comment added to section 9

null

10.1007/JHEP10(2011)071

null

hep-th

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

This article is the continuation of a project of investigating planar phi^3 model in various dimensions. The idea is to reformulate them on the world sheet, and then to apply the classical (meanfield) approximation, with two goals: To show that the ground state of the model is a solitonic configuration on the world sheet, and the quantum fluctuations around the soliton lead to the formation of a transverse string. After a review of some of the earlier work, we introduce and discuss several generalizations and new results. In 1+2 dimensions, a rigorous upper bound on the solitonic energy is established. A phi^4 interaction is added to stabilize the original phi^3 model. In 1+3 and 1+5 dimensions, an improved treatment of the ultraviolet divergences is given. And significantly, we show that our approximation scheme can be imbedded into a systematic strong coupling expansion. Finally, the spectrum of quantum fluctuations around the soliton confirms earlier results: In 1+2 and 1+3 dimensions, a transverse string is formed on the world sheet.

[ { "created": "Tue, 26 Jul 2011 20:35:53 GMT", "version": "v1" }, { "created": "Thu, 4 Aug 2011 20:35:57 GMT", "version": "v2" } ]

2015-05-28

[ [ "Bardakci", "Korkut", "" ] ]

This article is the continuation of a project of investigating planar phi^3 model in various dimensions. The idea is to reformulate them on the world sheet, and then to apply the classical (meanfield) approximation, with two goals: To show that the ground state of the model is a solitonic configuration on the world sheet, and the quantum fluctuations around the soliton lead to the formation of a transverse string. After a review of some of the earlier work, we introduce and discuss several generalizations and new results. In 1+2 dimensions, a rigorous upper bound on the solitonic energy is established. A phi^4 interaction is added to stabilize the original phi^3 model. In 1+3 and 1+5 dimensions, an improved treatment of the ultraviolet divergences is given. And significantly, we show that our approximation scheme can be imbedded into a systematic strong coupling expansion. Finally, the spectrum of quantum fluctuations around the soliton confirms earlier results: In 1+2 and 1+3 dimensions, a transverse string is formed on the world sheet.

9.603045

8.756527

9.232681

8.350815

8.767207

8.734943

8.549603

8.590596

8.468637

9.764218

8.544551

8.524832

8.958253

8.571839

8.658925

8.79096

8.702032

8.742108

8.907382

8.826387

8.789669

2003.05372

Aram Saharian

A. A. Saharian, T. A. Petrosyan

The Casimir densities for a sphere in the Milne universe

31 pages, 12 figures, discussions and references added

Symmetry 12(4), 619 (2020)

10.3390/sym12040619

null

hep-th gr-qc quant-ph

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

The influence of a spherical boundary on the vacuum fluctuations of a massive scalar field is investigated in background of $(D+1)$-dimensional Milne universe, assuming that the field obeys Robin boundary condition on the sphere. The normalized mode functions are derived for the regions inside and outside the sphere and different vacuum states are discussed. For the conformal vacuum, the Hadamard function is decomposed into boundary-free and sphere-induced contributions and an integral representation is obtained for the latter in both the interior and exterior regions. As important local characteristics of the vacuum state the vacuum expectation values (VEVs) of the field squared and of the energy-momentum tensor are investigated. It is shown that the vacuum energy-momentum tensor has an off-diagonal component that corresponds to the energy flux along the radial direction. Depending on the coefficient in Robin boundary condition the sphere-induced contribution to the vacuum energy and the energy flux can be either positive or negative. At late stages of the expansion and for a massive field the decay of the sphere-induced VEVs, as functions of time, is damping oscillatory. The geometry under consideration is conformally related to that for a static spacetime with negative constant curvature space and the sphere-induced contributions in the corresponding VEVs are compared.

[ { "created": "Tue, 25 Feb 2020 11:20:49 GMT", "version": "v1" }, { "created": "Thu, 23 Apr 2020 12:28:39 GMT", "version": "v2" } ]

2020-04-24

[ [ "Saharian", "A. A.", "" ], [ "Petrosyan", "T. A.", "" ] ]

The influence of a spherical boundary on the vacuum fluctuations of a massive scalar field is investigated in background of $(D+1)$-dimensional Milne universe, assuming that the field obeys Robin boundary condition on the sphere. The normalized mode functions are derived for the regions inside and outside the sphere and different vacuum states are discussed. For the conformal vacuum, the Hadamard function is decomposed into boundary-free and sphere-induced contributions and an integral representation is obtained for the latter in both the interior and exterior regions. As important local characteristics of the vacuum state the vacuum expectation values (VEVs) of the field squared and of the energy-momentum tensor are investigated. It is shown that the vacuum energy-momentum tensor has an off-diagonal component that corresponds to the energy flux along the radial direction. Depending on the coefficient in Robin boundary condition the sphere-induced contribution to the vacuum energy and the energy flux can be either positive or negative. At late stages of the expansion and for a massive field the decay of the sphere-induced VEVs, as functions of time, is damping oscillatory. The geometry under consideration is conformally related to that for a static spacetime with negative constant curvature space and the sphere-induced contributions in the corresponding VEVs are compared.

6.911184

4.719523

7.439391

5.463206

5.411449

5.316055

5.39512

5.253401

5.235689

7.517128

5.284892

5.972735

6.55642

6.152496

5.967295

5.959736

5.776995

6.167482

6.10912

6.867465

6.077816

2311.06919

Hamidreza Daniali

Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes

17 pages, no figure

Eur. Phys. J. C 83 (2023) 1072

10.1140/epjc/s10052-023-12246-8

null

hep-th

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

Using the boundary state formalism and thermo field dynamics approach, we study a D$p$-brane at finite temperature in which the background Kalb-Ramond field, a $U(1)$ gauge potential, and tachyon field are turned on together with a general tangential dynamics. The thermal entropy of the brane will be studied. In addition, the behavior of the entropy after the tachyon condensation process will be investigated and some thermodynamic interpretations will be extracted.

[ { "created": "Sun, 12 Nov 2023 18:23:22 GMT", "version": "v1" } ]

2023-11-27

[ [ "Daniali", "Hamidreza", "" ] ]

Using the boundary state formalism and thermo field dynamics approach, we study a D$p$-brane at finite temperature in which the background Kalb-Ramond field, a $U(1)$ gauge potential, and tachyon field are turned on together with a general tangential dynamics. The thermal entropy of the brane will be studied. In addition, the behavior of the entropy after the tachyon condensation process will be investigated and some thermodynamic interpretations will be extracted.

10.973346

7.681866

10.489044

8.044711

8.152801

7.821989

7.687996

7.60956

7.805984

11.537895

8.037982

8.989527

10.466641

9.162243

9.572792

9.232965

9.032584

9.091655

9.393246

9.730551

9.275665

0801.0129

Vladimir Bazhanov

Vladimir V. Bazhanov, Vladimir V. Mangazeev and Sergey M. Sergeev

Quantum geometry of 3-dimensional lattices

27 pages, 10 figures. Minor corrections, references added

J.Stat.Mech.0807:P07004,2008

10.1088/1742-5468/2008/07/P07004

null

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

null

We study geometric consistency relations between angles on 3-dimensional (3D) circular quadrilateral lattices -- lattices whose faces are planar quadrilaterals inscribable into a circle. We show that these relations generate canonical transformations of a remarkable ``ultra-local'' Poisson bracket algebra defined on discrete 2D surfaces consisting of circular quadrilaterals. Quantization of this structure leads to new solutions of the tetrahedron equation (the 3D analog of the Yang-Baxter equation). These solutions generate an infinite number of non-trivial solutions of the Yang-Baxter equation and also define integrable 3D models of statistical mechanics and quantum field theory. The latter can be thought of as describing quantum fluctuations of lattice geometry. The classical geometry of the 3D circular lattices arises as a stationary configuration giving the leading contribution to the partition function in the quasi-classical limit.

[ { "created": "Wed, 2 Jan 2008 03:59:22 GMT", "version": "v1" }, { "created": "Thu, 13 Mar 2008 04:33:48 GMT", "version": "v2" }, { "created": "Fri, 9 May 2008 07:23:06 GMT", "version": "v3" } ]

2008-11-26

[ [ "Bazhanov", "Vladimir V.", "" ], [ "Mangazeev", "Vladimir V.", "" ], [ "Sergeev", "Sergey M.", "" ] ]

We study geometric consistency relations between angles on 3-dimensional (3D) circular quadrilateral lattices -- lattices whose faces are planar quadrilaterals inscribable into a circle. We show that these relations generate canonical transformations of a remarkable ``ultra-local'' Poisson bracket algebra defined on discrete 2D surfaces consisting of circular quadrilaterals. Quantization of this structure leads to new solutions of the tetrahedron equation (the 3D analog of the Yang-Baxter equation). These solutions generate an infinite number of non-trivial solutions of the Yang-Baxter equation and also define integrable 3D models of statistical mechanics and quantum field theory. The latter can be thought of as describing quantum fluctuations of lattice geometry. The classical geometry of the 3D circular lattices arises as a stationary configuration giving the leading contribution to the partition function in the quasi-classical limit.

8.733793

10.087229

9.499496

8.716153

10.569651

9.551682

10.428409

8.847131

9.2193

10.413953

8.62373

8.522665

8.617395

8.503579

8.34798

8.362922

8.562652

8.676294

8.800141

8.528769

8.423835

1703.10176

Marco Bochicchio

Renormalization in large-$N$ QCD is incompatible with open/closed string duality

23 pages, 1 figure; this is the version published in Phys. Lett. B: it contains an extended exposition of the main results, and a discussion on the way the open/closed string duality may be realized in presently existing string models with a mass gap that are not asymptotically free

Phys. Lett. B 783 (2018) 341

10.1016/j.physletb.2018.06.072

null

hep-th hep-ph

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

Solving by a canonical string theory, of closed strings for the glueballs and open strings for the mesons, the 't Hooft large-$N$ expansion of QCD is a long-standing problem that resisted all the attempts despite the advent of the celebrated gauge/gravity duality in the framework of string theory. We demonstrate that in the canonical string framework such a solution does not actually exist because an inconsistency arises between the renormalization properties of the QCD S matrix at large $N$ -- a consequence of the asymptotic freedom (AF) -- and the open/closed duality of the would-be string solution. Specifically, the would-be open-string one-loop corrections to the tree glueball amplitudes must be ultraviolet (UV) divergent. Hence, naively, the inconsistency arises because these amplitudes are dual to tree closed-string diagrams, which are universally believed to be both UV finite -- since they are closed-string tree diagrams -- and infrared finite because of the glueball mass gap. In fact, the inconsistency follows from a low-energy theorem of the NSVZ type that controls the renormalization in QCD-like theories. The inconsistency extends to the would-be canonical string for a vast class of 't Hooft large-$N$ QCD-like theories including $\mathcal{N}=1$ SUSY QCD. We also demonstrate that the presently existing SUSY string models with a mass gap -- such as Klebanov-Strassler, Polchinski-Strassler (PS) and certain PS variants -- cannot contradict the above-mentioned results since they are not asymptotically free. Moreover, we shed light on the way the open/closed string duality may be perturbatively realized in these string models compatibly with a mass gap in the 't Hooft-planar closed-string sector and the low-energy theorem because of the lack of AF. Finally, we suggest a noncanonical way-out for QCD-like theories based on topological strings on noncommutative twistor space.

[ { "created": "Wed, 29 Mar 2017 18:00:12 GMT", "version": "v1" }, { "created": "Wed, 24 Oct 2018 00:27:20 GMT", "version": "v2" } ]

2018-10-25

[ [ "Bochicchio", "Marco", "" ] ]

Solving by a canonical string theory, of closed strings for the glueballs and open strings for the mesons, the 't Hooft large-$N$ expansion of QCD is a long-standing problem that resisted all the attempts despite the advent of the celebrated gauge/gravity duality in the framework of string theory. We demonstrate that in the canonical string framework such a solution does not actually exist because an inconsistency arises between the renormalization properties of the QCD S matrix at large $N$ -- a consequence of the asymptotic freedom (AF) -- and the open/closed duality of the would-be string solution. Specifically, the would-be open-string one-loop corrections to the tree glueball amplitudes must be ultraviolet (UV) divergent. Hence, naively, the inconsistency arises because these amplitudes are dual to tree closed-string diagrams, which are universally believed to be both UV finite -- since they are closed-string tree diagrams -- and infrared finite because of the glueball mass gap. In fact, the inconsistency follows from a low-energy theorem of the NSVZ type that controls the renormalization in QCD-like theories. The inconsistency extends to the would-be canonical string for a vast class of 't Hooft large-$N$ QCD-like theories including $\mathcal{N}=1$ SUSY QCD. We also demonstrate that the presently existing SUSY string models with a mass gap -- such as Klebanov-Strassler, Polchinski-Strassler (PS) and certain PS variants -- cannot contradict the above-mentioned results since they are not asymptotically free. Moreover, we shed light on the way the open/closed string duality may be perturbatively realized in these string models compatibly with a mass gap in the 't Hooft-planar closed-string sector and the low-energy theorem because of the lack of AF. Finally, we suggest a noncanonical way-out for QCD-like theories based on topological strings on noncommutative twistor space.

9.376923

9.536013

9.798739

9.051484

9.755338

9.583444

9.951509

9.970981

9.387875

10.196686

9.183823

9.168031

9.378983

9.324758

9.1846

9.191748

9.415247

9.279286

9.101968

9.440813

8.908159

hep-th/0110292

Damiano Anselmi

D. Anselmi

A note on the improvement ambiguity of the stress tensor and the critical limits of correlation functions

15 pages

J.Math.Phys.43:2965-2977,2002

10.1063/1.1475766

IFUP-TH/01-28

hep-th

null

I study various properties of the critical limits of correlators containing insertions of conserved and anomalous currents. In particular, I show that the improvement term of the stress tensor can be fixed unambiguously, studying the RG interpolation between the UV and IR limits. The removal of the improvement ambiguity is encoded in a variational principle, which makes use of sum rules for the trace anomalies a and a'. Compatible results follow from the analysis of the RG equations. I perform a number of self-consistency checks and discuss the issues in a large set of theories.

[ { "created": "Wed, 31 Oct 2001 03:38:50 GMT", "version": "v1" } ]

2014-11-18

[ [ "Anselmi", "D.", "" ] ]

I study various properties of the critical limits of correlators containing insertions of conserved and anomalous currents. In particular, I show that the improvement term of the stress tensor can be fixed unambiguously, studying the RG interpolation between the UV and IR limits. The removal of the improvement ambiguity is encoded in a variational principle, which makes use of sum rules for the trace anomalies a and a'. Compatible results follow from the analysis of the RG equations. I perform a number of self-consistency checks and discuss the issues in a large set of theories.

15.305068

12.995497

15.406073

12.997198

13.703796

12.768237

13.591928

11.993945

12.495088

14.867308

13.394094

12.98105

14.056204

12.843026

13.095637

13.366894

13.199913

12.929943

12.697771

14.264134

13.412169

hep-th/0701120

Paolo Merlatti

P. Merlatti

Getting N=1 super Yang-Mills from strings

17 pages; based on the talk given at Corfu Summer Institute on elementary particle physics (CORFU2005)

J.Phys.Conf.Ser.53:658-668,2006

10.1088/1742-6596/53/1/041

null

hep-th

null

In the context of the gauge-string correspondence, we discuss the spontaneous partial breaking of supersymmetry. Starting from the orbifold of S^5, supersymmetry breaking leads us to consider the (resolved) conifold background and some of the gauge dynamics encoded in that geometry. Using this gravity dual, we compute the low energy effective superpotential for such N=1 theories. We are naturally led to extend the Veneziano-Yankielowicz one: glueball fields appear.

[ { "created": "Fri, 12 Jan 2007 18:44:29 GMT", "version": "v1" } ]

2008-11-26

[ [ "Merlatti", "P.", "" ] ]

In the context of the gauge-string correspondence, we discuss the spontaneous partial breaking of supersymmetry. Starting from the orbifold of S^5, supersymmetry breaking leads us to consider the (resolved) conifold background and some of the gauge dynamics encoded in that geometry. Using this gravity dual, we compute the low energy effective superpotential for such N=1 theories. We are naturally led to extend the Veneziano-Yankielowicz one: glueball fields appear.

15.468349

12.491926

16.377851

13.118285

11.594651

13.132094

11.552993

12.55124

12.410863

15.649611

12.631812

12.87721

13.482355

13.633662

12.98448

13.305987

12.771291

13.014823

13.427993

13.74306

13.443446

hep-th/0402226

Alexander I. Nesterov

Alexander I. Nesterov, F. Aceves de la Cruz

On representations of the rotation group and magnetic monopoles

References added

Phys.Lett.A324:9-13,2004

10.1016/j.physleta.2004.02.051

null

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

null

Recently (Phys. Lett. A302 (2002) 253, hep-th/0208210; hep-th/0403146) employing bounded infinite-dimensional representations of the rotation group we have argued that one can obtain the consistent monopole theory with generalized Dirac quantization condition, $2\kappa\mu \in \mathbb Z$, where $\kappa$ is the weight of the Dirac string. Here we extend this proof to the unbounded infinite-dimensional representations.

[ { "created": "Fri, 27 Feb 2004 15:41:09 GMT", "version": "v1" }, { "created": "Sun, 29 Feb 2004 14:38:43 GMT", "version": "v2" }, { "created": "Mon, 22 Mar 2004 04:36:20 GMT", "version": "v3" } ]

2010-11-19

[ [ "Nesterov", "Alexander I.", "" ], [ "de la Cruz", "F. Aceves", "" ] ]

Recently (Phys. Lett. A302 (2002) 253, hep-th/0208210; hep-th/0403146) employing bounded infinite-dimensional representations of the rotation group we have argued that one can obtain the consistent monopole theory with generalized Dirac quantization condition, $2\kappa\mu \in \mathbb Z$, where $\kappa$ is the weight of the Dirac string. Here we extend this proof to the unbounded infinite-dimensional representations.

12.997353

12.397534

13.152454

11.471267

14.665328

13.300824

13.173073

11.870681

12.181286

12.96528

11.141174

11.760994

11.750702

11.11833

11.450281

11.605268

11.836041

11.173799

11.080657

11.630507

10.648926

0801.0762

Vasilis Niarchos

Adi Armoni, Dan Israel, Gregory Moraitis, Vasilis Niarchos

Non-Supersymmetric Seiberg Duality, Orientifold QCD and Non-Critical Strings

45 pages, 1 figure

Phys.Rev.D77:105009,2008

10.1103/PhysRevD.77.105009

null

hep-th

null

We propose an electric-magnetic duality and conjecture an exact conformal window for a class of non-supersymmetric U(N_c) gauge theories with fermions in the (anti)symmetric representation of the gauge group and N_f additional scalar and fermion flavors. The duality exchanges N_c with N_f -N_c \mp 4 leaving N_f invariant, and has common features with Seiberg duality in N=1 SQCD with SU or SO/Sp gauge group. At large N the duality holds due to planar equivalence with N=1 SQCD. At finite N we embed these gauge theories in a setup with D-branes and orientifolds in a non-supersymmetric, but tachyon-free, non-critical type 0B string theory and argue in favor of the duality in terms of boundary and crosscap state monodromies as in analogous supersymmetric situations. One can verify explicitly that the resulting duals have matching global anomalies. Finally, we comment on the moduli space of these gauge theories and discuss other potential non-supersymmetric examples that could exhibit similar dualities.

[ { "created": "Mon, 7 Jan 2008 18:16:42 GMT", "version": "v1" } ]

2008-11-26

[ [ "Armoni", "Adi", "" ], [ "Israel", "Dan", "" ], [ "Moraitis", "Gregory", "" ], [ "Niarchos", "Vasilis", "" ] ]

We propose an electric-magnetic duality and conjecture an exact conformal window for a class of non-supersymmetric U(N_c) gauge theories with fermions in the (anti)symmetric representation of the gauge group and N_f additional scalar and fermion flavors. The duality exchanges N_c with N_f -N_c \mp 4 leaving N_f invariant, and has common features with Seiberg duality in N=1 SQCD with SU or SO/Sp gauge group. At large N the duality holds due to planar equivalence with N=1 SQCD. At finite N we embed these gauge theories in a setup with D-branes and orientifolds in a non-supersymmetric, but tachyon-free, non-critical type 0B string theory and argue in favor of the duality in terms of boundary and crosscap state monodromies as in analogous supersymmetric situations. One can verify explicitly that the resulting duals have matching global anomalies. Finally, we comment on the moduli space of these gauge theories and discuss other potential non-supersymmetric examples that could exhibit similar dualities.

8.679209

8.617773

10.51615

7.920425

8.692882

8.391363

8.560317

8.710086

8.217916

12.139991

8.218237

8.632011

9.264404

8.383494

8.482877

8.419289

8.50327

8.559637

8.697643

9.25301

8.143084

1306.1741

Adam Rej

Benjamin Basso, Adam Rej

Bethe Ansaetze for GKP strings

60 pages, 5 figures

null

10.1016/j.nuclphysb.2013.11.010

null

hep-th

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

Studying the scattering of excitations around a dynamical background has a long history in the context of integrable models. The Gubser-Klebanov-Polyakov string solution provides such a background for the string/gauge correspondence. Taking the conjectured all-loop asymptotic equations for the AdS_4/CFT_3 correspondence as the starting point, we derive the S-matrix and a set of spectral equations for the lowest-lying excitations. We find that these equations resemble closely the analogous equations for AdS_5/CFT_4, which are also discussed in this paper. At large values of the coupling constant we show that they reproduce the Bethe equations proposed to describe the spectrum of the low-energy limit of the AdS_4xCP^3 sigma model.

[ { "created": "Fri, 7 Jun 2013 15:09:20 GMT", "version": "v1" } ]

2015-06-16

[ [ "Basso", "Benjamin", "" ], [ "Rej", "Adam", "" ] ]

Studying the scattering of excitations around a dynamical background has a long history in the context of integrable models. The Gubser-Klebanov-Polyakov string solution provides such a background for the string/gauge correspondence. Taking the conjectured all-loop asymptotic equations for the AdS_4/CFT_3 correspondence as the starting point, we derive the S-matrix and a set of spectral equations for the lowest-lying excitations. We find that these equations resemble closely the analogous equations for AdS_5/CFT_4, which are also discussed in this paper. At large values of the coupling constant we show that they reproduce the Bethe equations proposed to describe the spectrum of the low-energy limit of the AdS_4xCP^3 sigma model.

7.395657

6.214792

8.530575

6.349583

6.748174

6.02499

6.745901

6.430314

6.352301

9.049667

6.357767

6.198287

7.00136

6.449224

6.107183

5.905124

6.315363

6.192966

6.344876

6.953177

6.183986

hep-th/0206128

Kazuo Ghoroku

Kazuo Ghoroku and Masanobu Yahiro

Origin of Small Cosmological Constant in Brane-World

11 pages, no figure

Phys.Rev. D66 (2002) 124020

10.1103/PhysRevD.66.124020

FIT HE - 02-02

hep-th

null

We address the relation among the parameters of accelerating brane-universe embedded in five dimensional bulk space. It is pointed out that the tiny cosmological constant of our world can be obtained as quantum corrections around a given brane-solution in the bulk theory or in the field theory on the boundary from the holographic viewpoint.Some implications to the cosmology and constarints on the parameters are also given.

[ { "created": "Sat, 15 Jun 2002 08:50:49 GMT", "version": "v1" }, { "created": "Sat, 22 Jun 2002 08:16:14 GMT", "version": "v2" }, { "created": "Sun, 13 Oct 2002 04:06:14 GMT", "version": "v3" } ]

2009-11-07

[ [ "Ghoroku", "Kazuo", "" ], [ "Yahiro", "Masanobu", "" ] ]

We address the relation among the parameters of accelerating brane-universe embedded in five dimensional bulk space. It is pointed out that the tiny cosmological constant of our world can be obtained as quantum corrections around a given brane-solution in the bulk theory or in the field theory on the boundary from the holographic viewpoint.Some implications to the cosmology and constarints on the parameters are also given.

19.511124

15.371775

19.171978

16.405027

16.69363

17.606436

16.669397

18.037977

16.639935

19.658812

16.911226

18.113689

18.709642

17.272175

18.076151

16.761057

17.538944

16.996468

17.503428

18.449987

17.569286

1805.05057

Takeshi Oota

Hiroshi Itoyama, Takeshi Oota, Katsuya Yano

Discrete Painleve system and the double scaling limit of the matrix model for irregular conformal block and gauge theory

12 pages; v2: references added; v3: accepted version for Physics Letters B; v4: minor corrections, published version

null

10.1016/j.physletb.2018.10.077

OCU-PHYS 479

hep-th

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

We study the partition function of the matrix model of finite size that realizes the irregular conformal block for the case of the ${\cal N}=2$ supersymmetric $SU(2)$ gauge theory with $N_f =2$. This model has been obtained in [arXiv:1008.1861 [hep-th]] as the massive scaling limit of the $\beta$ deformed matrix model representing the conformal block. We point out that the model for the case of $\beta =1$ can be recast into a unitary matrix model with log potential and show that it is exhibited as a discrete Painlev\'{e} system by the method of orthogonal polynomials. We derive the Painlev\'{e} II equation, taking the double scaling limit in the vicinity of the critical point which is the Argyres-Douglas type point of the corresponding spectral curve. By the $0$d-$4$d dictionary, we obtain the time variable and the parameter of the double scaled theory respectively from the sum and the difference of the two mass parameters scaled to their critical values.

[ { "created": "Mon, 14 May 2018 08:21:24 GMT", "version": "v1" }, { "created": "Mon, 21 May 2018 11:48:18 GMT", "version": "v2" }, { "created": "Sun, 28 Oct 2018 05:00:49 GMT", "version": "v3" }, { "created": "Thu, 3 Jan 2019 08:49:33 GMT", "version": "v4" } ]

2019-01-09

[ [ "Itoyama", "Hiroshi", "" ], [ "Oota", "Takeshi", "" ], [ "Yano", "Katsuya", "" ] ]

We study the partition function of the matrix model of finite size that realizes the irregular conformal block for the case of the ${\cal N}=2$ supersymmetric $SU(2)$ gauge theory with $N_f =2$. This model has been obtained in [arXiv:1008.1861 [hep-th]] as the massive scaling limit of the $\beta$ deformed matrix model representing the conformal block. We point out that the model for the case of $\beta =1$ can be recast into a unitary matrix model with log potential and show that it is exhibited as a discrete Painlev\'{e} system by the method of orthogonal polynomials. We derive the Painlev\'{e} II equation, taking the double scaling limit in the vicinity of the critical point which is the Argyres-Douglas type point of the corresponding spectral curve. By the $0$d-$4$d dictionary, we obtain the time variable and the parameter of the double scaled theory respectively from the sum and the difference of the two mass parameters scaled to their critical values.

9.672067

8.138482

10.16808

7.797119

7.900255

8.186513

8.364757

7.792613

8.588565

11.395277

7.576474

8.286165

9.494205

8.469295

8.821469

8.695178

9.012378

8.269241

8.577598

9.802125

8.400816

hep-th/9405162

Robert C. Myers

Black Hole Entropy in Two Dimensions

18 pages, latex McGill/94-22 (minor revisions; final version which will appear in Phys. Rev. D)

Phys.Rev.D50:6412-6421,1994

10.1103/PhysRevD.50.6412

null

hep-th gr-qc

null

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity\cite{rst1}, using recently developed Noether charge techniques\cite{wald1}. This latter approach is extended to accomodate the non-local form of the semiclassical effective action. In the two-dimensional model, the final black hole entropy can be expressed as a local quantity evaluated on the horizon. This entropy is shown to satisfy an increase theorem on either the global or apparent horizon of a two-dimensional black hole.

[ { "created": "Wed, 25 May 1994 22:11:17 GMT", "version": "v1" }, { "created": "Mon, 8 Aug 1994 20:36:11 GMT", "version": "v2" }, { "created": "Sun, 14 Aug 1994 23:44:30 GMT", "version": "v3" } ]

2010-11-01

[ [ "Myers", "Robert C.", "" ] ]

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity\cite{rst1}, using recently developed Noether charge techniques\cite{wald1}. This latter approach is extended to accomodate the non-local form of the semiclassical effective action. In the two-dimensional model, the final black hole entropy can be expressed as a local quantity evaluated on the horizon. This entropy is shown to satisfy an increase theorem on either the global or apparent horizon of a two-dimensional black hole.

15.02282

12.764253

13.233655

12.735442

12.666274

11.599838

13.445151

12.069883

12.165579

13.430265

12.356254

13.594112

13.736862

13.061059

12.999919

13.266506

13.292085

13.238161

13.263082

12.690752

13.127004

1011.6315

Malte Henkel

Malte Henkel and Stoimen Stoimenov

On non-local representations of the ageing algebra

Latex2e, 17 pages, with 2 figures

Nucl.Phys.B847:612-627,2011

10.1016/j.nuclphysb.2011.02.008

null

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

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

The ageing algebra is a local dynamical symmetry of many ageing systems, far from equilibrium, and with a dynamical exponent z=2. Here, new representations for an integer dynamical exponent z=n are constructed, which act non-locally on the physical scaling operators. The new mathematical mechanism which makes the infinitesimal generators of the ageing algebra dynamical symmetries, is explicitly discussed for a n-dependent family of linear equations of motion for the order-parameter. Finite transformations are derived through the exponentiation of the infinitesimal generators and it is proposed to interpret them in terms of the transformation of distributions of spatio-temporal coordinates. The two-point functions which transform co-variantly under the new representations are computed, which quite distinct forms for n even and n odd. Depending on the sign of the dimensionful mass parameter, the two-point scaling functions either decay monotonously or in an oscillatory way towards zero.

[ { "created": "Mon, 29 Nov 2010 18:04:08 GMT", "version": "v1" } ]

2011-03-28

[ [ "Henkel", "Malte", "" ], [ "Stoimenov", "Stoimen", "" ] ]

The ageing algebra is a local dynamical symmetry of many ageing systems, far from equilibrium, and with a dynamical exponent z=2. Here, new representations for an integer dynamical exponent z=n are constructed, which act non-locally on the physical scaling operators. The new mathematical mechanism which makes the infinitesimal generators of the ageing algebra dynamical symmetries, is explicitly discussed for a n-dependent family of linear equations of motion for the order-parameter. Finite transformations are derived through the exponentiation of the infinitesimal generators and it is proposed to interpret them in terms of the transformation of distributions of spatio-temporal coordinates. The two-point functions which transform co-variantly under the new representations are computed, which quite distinct forms for n even and n odd. Depending on the sign of the dimensionful mass parameter, the two-point scaling functions either decay monotonously or in an oscillatory way towards zero.

14.734044

14.978387

15.226147

13.904337

15.559069

14.972457

16.005457

14.772737

14.175178

16.088827

13.969007

13.545125

13.613468

13.236867

13.817443

13.807518

14.115817

13.701

13.473254

13.890222

13.176064

1412.3479

Ellis Yuan

Freddy Cachazo, Song He, Ellis Ye Yuan

Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM

typos corrected, additional theory identified in eq. 5.17 and section 5.4 added

null

10.1007/JHEP07(2015)149

null

hep-th

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

The tree-level S-matrix of Einstein's theory is known to have a representation as an integral over the moduli space of punctured spheres localized to the solutions of the scattering equations. In this paper we introduce three operations that can be applied on the integrand in order to produce other theories. Starting in $d+M$ dimensions we use dimensional reduction to construct Einstein-Maxwell with gauge group $U(1)^M$. The second operation turns gravitons into gluons and we call it "squeezing". This gives rise to a formula for all multi-trace mixed amplitudes in Einstein-Yang-Mills. Dimensionally reducing Yang-Mills we find the S-matrix of a special Yang-Mills-Scalar (YMS) theory, and by the squeezing operation we find that of a YMS theory with an additional cubic scalar vertex. A corollary of the YMS formula gives one for a single massless scalar with a $\phi^4$ interaction. Starting again from Einstein's theory but in $d+d$ dimensions we introduce a "generalized dimensional reduction" that produces the Born-Infeld theory or a special Galileon theory in $d$ dimensions depending on how it is applied. An extension of Born-Infeld formula leads to one for the Dirac-Born-Infeld (DBI) theory. By applying the same operation to Yang-Mills we obtain the $U(N)$ non-linear sigma model (NLSM). Finally, we show how the Kawai-Lewellen-Tye relations naturally follow from our formulation and provide additional connections among these theories. One such relation constructs DBI from YMS and NLSM.

[ { "created": "Wed, 10 Dec 2014 21:44:13 GMT", "version": "v1" }, { "created": "Sun, 25 Jan 2015 16:18:00 GMT", "version": "v2" } ]

2015-09-02

[ [ "Cachazo", "Freddy", "" ], [ "He", "Song", "" ], [ "Yuan", "Ellis Ye", "" ] ]

The tree-level S-matrix of Einstein's theory is known to have a representation as an integral over the moduli space of punctured spheres localized to the solutions of the scattering equations. In this paper we introduce three operations that can be applied on the integrand in order to produce other theories. Starting in $d+M$ dimensions we use dimensional reduction to construct Einstein-Maxwell with gauge group $U(1)^M$. The second operation turns gravitons into gluons and we call it "squeezing". This gives rise to a formula for all multi-trace mixed amplitudes in Einstein-Yang-Mills. Dimensionally reducing Yang-Mills we find the S-matrix of a special Yang-Mills-Scalar (YMS) theory, and by the squeezing operation we find that of a YMS theory with an additional cubic scalar vertex. A corollary of the YMS formula gives one for a single massless scalar with a $\phi^4$ interaction. Starting again from Einstein's theory but in $d+d$ dimensions we introduce a "generalized dimensional reduction" that produces the Born-Infeld theory or a special Galileon theory in $d$ dimensions depending on how it is applied. An extension of Born-Infeld formula leads to one for the Dirac-Born-Infeld (DBI) theory. By applying the same operation to Yang-Mills we obtain the $U(N)$ non-linear sigma model (NLSM). Finally, we show how the Kawai-Lewellen-Tye relations naturally follow from our formulation and provide additional connections among these theories. One such relation constructs DBI from YMS and NLSM.

8.493237

7.65279

9.161555

7.464474

7.528338

7.605682

7.689084

7.51349

7.464308

9.838542

7.394442

7.714551

8.011105

7.832979

7.712318

7.679

7.676432

7.671266

7.657162

8.082313

7.564811

1405.2960

Riccardo Torre

Brando Bellazzini, Luca Martucci and Riccardo Torre

Symmetries, Sum Rules and Constraints on Effective Field Theories

50 pages, 5 figures, 5 appendices; several typos fixed, discussions improved, references added; results unchanged

null

10.1007/JHEP09(2014)100

DFPD-2014/TH/10, LPN14-072

hep-th hep-ph

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

Using unitarity, analyticity and crossing symmetry, we derive universal sum rules for scattering amplitudes in theories invariant under an arbitrary symmetry group. The sum rules relate the coefficients of the energy expansion of the scattering amplitudes in the IR to total cross sections integrated all the way up to the UV. Exploiting the group structure of the symmetry, we systematically determine all the independent sum rules and positivity conditions on the expansion coefficients. For effective field theories the amplitudes in the IR are calculable and hence the sum rules set constraints on the parameters of the effective Lagrangian. We clarify the impact of gauging on the sum rules for Goldstone bosons in spontaneously broken gauge theories. We discuss explicit examples that are relevant for WW-scattering, composite Higgs models, and chiral perturbation theory. Certain sum rules based on custodial symmetry and its extensions provide constraints on the Higgs boson coupling to the electroweak gauge bosons.

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2015-06-19

[ [ "Bellazzini", "Brando", "" ], [ "Martucci", "Luca", "" ], [ "Torre", "Riccardo", "" ] ]

Using unitarity, analyticity and crossing symmetry, we derive universal sum rules for scattering amplitudes in theories invariant under an arbitrary symmetry group. The sum rules relate the coefficients of the energy expansion of the scattering amplitudes in the IR to total cross sections integrated all the way up to the UV. Exploiting the group structure of the symmetry, we systematically determine all the independent sum rules and positivity conditions on the expansion coefficients. For effective field theories the amplitudes in the IR are calculable and hence the sum rules set constraints on the parameters of the effective Lagrangian. We clarify the impact of gauging on the sum rules for Goldstone bosons in spontaneously broken gauge theories. We discuss explicit examples that are relevant for WW-scattering, composite Higgs models, and chiral perturbation theory. Certain sum rules based on custodial symmetry and its extensions provide constraints on the Higgs boson coupling to the electroweak gauge bosons.

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