LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1601.00647

Sven Krippendorf

Joseph P. Conlon, Sven Krippendorf

Axion decay constants away from the lamppost

28 pages, 6 figures

null

10.1007/JHEP04(2016)085

null

hep-th

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

It is unknown whether a bound on axion field ranges exists within quantum gravity. We study axion field ranges using extended supersymmetry, in particular allowing an analysis within strongly coupled regions of moduli space. We apply this strategy to Calabi-Yau compactifications with one and two K\"ahler moduli. We relate the maximally allowable decay constant to geometric properties of the underlying Calabi-Yau geometry. In all examples we find a maximal field range close to the reduced Planck mass (with the largest field range being 3.25 $M_P$). On this perspective, field ranges relate to the intersection and instanton numbers of the underlying Calabi-Yau geometry.

[ { "created": "Mon, 4 Jan 2016 21:00:04 GMT", "version": "v1" } ]

2016-05-04

[ [ "Conlon", "Joseph P.", "" ], [ "Krippendorf", "Sven", "" ] ]

It is unknown whether a bound on axion field ranges exists within quantum gravity. We study axion field ranges using extended supersymmetry, in particular allowing an analysis within strongly coupled regions of moduli space. We apply this strategy to Calabi-Yau compactifications with one and two K\"ahler moduli. We relate the maximally allowable decay constant to geometric properties of the underlying Calabi-Yau geometry. In all examples we find a maximal field range close to the reduced Planck mass (with the largest field range being 3.25 $M_P$). On this perspective, field ranges relate to the intersection and instanton numbers of the underlying Calabi-Yau geometry.

12.523259

13.331035

13.984442

12.436238

13.137707

12.20937

13.13113

12.746028

12.354501

14.213266

11.823752

12.147977

12.115892

12.179021

11.801155

12.528527

12.139256

12.51295

12.07408

11.942233

12.154263

0705.4214

James Lucietti

Hari K. Kunduri, James Lucietti, Harvey S. Reall

Near-horizon symmetries of extremal black holes

21 pages, latex. v2: minor improvements v3: Corrected error in argument excluding de Sitter and Poincare-symmetric cases. Results unaffected

Class.Quant.Grav.24:4169-4190,2007

10.1088/0264-9381/24/16/012

DCPT-07/25

hep-th gr-qc

null

Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2,1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four and five dimensional solutions (including black rings). The result is valid for a general two-derivative theory of gravity coupled to abelian vectors and uncharged scalars, allowing for a non-trivial scalar potential. We prove that it remains valid in the presence of higher-derivative corrections. We show that SO(2,1)-symmetric near-horizon solutions can be analytically continued to give SU(2)-symmetric black hole solutions. For example, the near-horizon limit of an extremal 5D Myers-Perry black hole is related by analytic continuation to a non-extremal cohomogeneity-1 Myers-Perry solution.

[ { "created": "Tue, 29 May 2007 13:14:32 GMT", "version": "v1" }, { "created": "Fri, 29 Jun 2007 14:49:29 GMT", "version": "v2" }, { "created": "Mon, 28 Apr 2008 14:44:27 GMT", "version": "v3" } ]

2008-11-26

[ [ "Kunduri", "Hari K.", "" ], [ "Lucietti", "James", "" ], [ "Reall", "Harvey S.", "" ] ]

Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2,1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four and five dimensional solutions (including black rings). The result is valid for a general two-derivative theory of gravity coupled to abelian vectors and uncharged scalars, allowing for a non-trivial scalar potential. We prove that it remains valid in the presence of higher-derivative corrections. We show that SO(2,1)-symmetric near-horizon solutions can be analytically continued to give SU(2)-symmetric black hole solutions. For example, the near-horizon limit of an extremal 5D Myers-Perry black hole is related by analytic continuation to a non-extremal cohomogeneity-1 Myers-Perry solution.

5.993703

5.487597

5.725987

5.113162

5.761308

5.267632

5.506832

5.323079

5.465943

6.281429

5.53543

5.141103

5.578541

5.151469

5.154842

5.263046

5.199698

5.424533

5.100998

5.553661

5.529101

hep-th/0007131

Fernando Ruiz

C.P. Martin and F. Ruiz Ruiz

Paramagnetic dominance, the sign of the beta function and UV/IR mixing in non-commutative U(1)

39 pages, 7 eps figures; typos corrected, few comments added

Nucl.Phys. B597 (2001) 197-227

10.1016/S0550-3213(00)00726-4

UCM-FT/00-13-01

hep-th

null

U(1) gauge theory on non-commutative Minkowski space-time in the Feynman-'t Hooft background gauge is studied. In particular, UV divergences and non-commutative IR divergent contributions to the two, three and four-point functions are explicitly computed at one loop. We show that the negative sign of the beta function results from paramagnetism --producing UV charge anti-screening-- prevailing over diamagnetism --giving rise toUV charge screening. This dominance in the field theory setting corresponds to tachyon magnification dominance in the string theory framework. Our calculations provide an explicit realization of UV/IR mixing and lead to an IR renormalization of the coupling constant, where now paramagnetic contributions produce screening and diamagnetic contributions anti-screening.

[ { "created": "Mon, 17 Jul 2000 12:32:30 GMT", "version": "v1" }, { "created": "Mon, 11 Dec 2000 13:09:46 GMT", "version": "v2" } ]

2009-10-31

[ [ "Martin", "C. P.", "" ], [ "Ruiz", "F. Ruiz", "" ] ]

U(1) gauge theory on non-commutative Minkowski space-time in the Feynman-'t Hooft background gauge is studied. In particular, UV divergences and non-commutative IR divergent contributions to the two, three and four-point functions are explicitly computed at one loop. We show that the negative sign of the beta function results from paramagnetism --producing UV charge anti-screening-- prevailing over diamagnetism --giving rise toUV charge screening. This dominance in the field theory setting corresponds to tachyon magnification dominance in the string theory framework. Our calculations provide an explicit realization of UV/IR mixing and lead to an IR renormalization of the coupling constant, where now paramagnetic contributions produce screening and diamagnetic contributions anti-screening.

12.151696

11.473248

12.70203

10.36377

11.424994

12.15328

11.160973

11.8387

10.170338

13.308703

10.420465

10.327018

10.790373

10.717773

10.75386

10.409661

10.567332

10.73401

10.384345

10.883297

10.443231

1501.06773

Tin Sulejmanpasic

Mohamed M. Anber, Erich Poppitz, Tin Sulejmanpasic

Strings from domain walls in supersymmetric Yang-Mills theory and adjoint QCD

5 pages, 4 figures. Accepted for publication at PRD rapid communications. The latest version has a corrected type-o and a changed title to agree with the version to be published

Phys. Rev. D 92, 021701 (2015)

10.1103/PhysRevD.92.021701

null

hep-th hep-lat

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

We study strings between static quarks in QCD with $n_f$ adjoint fermions, including $N=1$ Super Yang-Mills (SYM), in the calculable regime on $\mathbb R^3\times \mathbb S^1$. We find that they have many qualitatively new features not previously known. The difference from other realizations of abelian confinement is due to the composite nature of magnetic bions, whose Dirac quantum with fundamental quarks is two, and to the unbroken part of the Weyl group. In particular we show that strings are composed of two domain walls, that quarks are not confined on domain walls, that strings can end on domain walls, and that "Y" or "$\Delta$" baryons can form. We briefly discuss their lightest modes and decompactification limit.

[ { "created": "Tue, 27 Jan 2015 14:23:41 GMT", "version": "v1" }, { "created": "Tue, 3 Feb 2015 16:48:10 GMT", "version": "v2" }, { "created": "Fri, 26 Jun 2015 14:59:41 GMT", "version": "v3" }, { "created": "Mon, 6 Jul 2015 16:09:07 GMT", "version": "v4" } ]

2015-07-29

[ [ "Anber", "Mohamed M.", "" ], [ "Poppitz", "Erich", "" ], [ "Sulejmanpasic", "Tin", "" ] ]

We study strings between static quarks in QCD with $n_f$ adjoint fermions, including $N=1$ Super Yang-Mills (SYM), in the calculable regime on $\mathbb R^3\times \mathbb S^1$. We find that they have many qualitatively new features not previously known. The difference from other realizations of abelian confinement is due to the composite nature of magnetic bions, whose Dirac quantum with fundamental quarks is two, and to the unbroken part of the Weyl group. In particular we show that strings are composed of two domain walls, that quarks are not confined on domain walls, that strings can end on domain walls, and that "Y" or "$\Delta$" baryons can form. We briefly discuss their lightest modes and decompactification limit.

12.229889

12.036531

12.511373

11.855085

13.385848

13.124169

12.449533

12.446941

11.400022

13.182039

12.021708

11.330572

10.811203

11.006925

11.711978

11.175589

11.387015

11.100207

10.964075

11.074136

10.949848

hep-th/0106036

Washington Taylor

David J. Gross (ITP) and Washington Taylor (ITP, MIT)

Split string field theory II

44 pages, Latex; v2: reference added, typos fixed, footnote added regarding ghost solution

JHEP 0108:010,2001

10.1088/1126-6708/2001/08/010

NSF-ITP-01-51, MIT-CTP-3145

hep-th

null

We describe the ghost sector of cubic string field theory in terms of degrees of freedom on the two halves of a split string. In particular, we represent a class of pure ghost BRST operators as operators on the space of half-string functionals. These BRST operators were postulated by Rastelli, Sen, and Zwiebach to give a description of cubic string field theory in the closed string vacuum arising from condensation of a D25-brane in the original tachyonic theory. We find a class of solutions for the ghost equations of motion using the pure ghost BRST operators. We find a vanishing action for these solutions, and discuss possible interpretations of this result. The form of the solutions we find in the pure ghost theory suggests an analogous class of solutions in the original theory on the D25-brane with BRST operator Q_B coupling the matter and ghost sectors.

[ { "created": "Mon, 4 Jun 2001 22:52:36 GMT", "version": "v1" }, { "created": "Wed, 27 Jun 2001 22:46:20 GMT", "version": "v2" } ]

2010-02-03

[ [ "Gross", "David J.", "", "ITP" ], [ "Taylor", "Washington", "", "ITP, MIT" ] ]

We describe the ghost sector of cubic string field theory in terms of degrees of freedom on the two halves of a split string. In particular, we represent a class of pure ghost BRST operators as operators on the space of half-string functionals. These BRST operators were postulated by Rastelli, Sen, and Zwiebach to give a description of cubic string field theory in the closed string vacuum arising from condensation of a D25-brane in the original tachyonic theory. We find a class of solutions for the ghost equations of motion using the pure ghost BRST operators. We find a vanishing action for these solutions, and discuss possible interpretations of this result. The form of the solutions we find in the pure ghost theory suggests an analogous class of solutions in the original theory on the D25-brane with BRST operator Q_B coupling the matter and ghost sectors.

8.689966

7.937142

10.044749

7.950781

7.598043

7.992996

7.723918

7.584472

7.455134

11.121294

7.808588

7.970039

8.995496

8.156485

8.205516

8.566619

8.60797

7.949253

8.009392

8.8933

7.935857

2103.07900

Brian Dolan

Brian P. Dolan

Duality and modular symmetry in the quantum Hall effect from Lifshitz holography

56 pages, 36 pages of text plus 3 appendices, 6 figures; References added and typos corrected in v2

null

10.1007/JHEP08(2021)010

DIAS-STP-21-05

hep-th

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

The temperature dependence of quantum Hall conductivities is studied in the context of the AdS/CMT paradigm using a model with a bulk theory consisting of (3+1)-dimensional Einstein-Maxwell action coupled to a dilaton and an axion, with a negative cosmological constant. We consider a solution which has a Lifshitz like geometry with a dyonic black-brane in the bulk. There is an $Sl(2,R)$ action in the bulk corresponding to electromagnetic duality, which maps between classical solutions, and is broken to $Sl(2,Z)$ by Dirac quantisation of dyons. This bulk $Sl(2,Z)$ action translates to an action of the modular group on the 2-dimensional transverse conductivities. The temperature dependence of the infra-red conductivities is then linked to modular forms via gradient flow and the resulting flow diagrams show remarkable agreement with existing experimental data on the temperature flow of both integral and fractional quantum Hall conductivities.

[ { "created": "Sun, 14 Mar 2021 11:54:48 GMT", "version": "v1" }, { "created": "Mon, 21 Jun 2021 13:39:26 GMT", "version": "v2" } ]

2021-09-01

[ [ "Dolan", "Brian P.", "" ] ]

The temperature dependence of quantum Hall conductivities is studied in the context of the AdS/CMT paradigm using a model with a bulk theory consisting of (3+1)-dimensional Einstein-Maxwell action coupled to a dilaton and an axion, with a negative cosmological constant. We consider a solution which has a Lifshitz like geometry with a dyonic black-brane in the bulk. There is an $Sl(2,R)$ action in the bulk corresponding to electromagnetic duality, which maps between classical solutions, and is broken to $Sl(2,Z)$ by Dirac quantisation of dyons. This bulk $Sl(2,Z)$ action translates to an action of the modular group on the 2-dimensional transverse conductivities. The temperature dependence of the infra-red conductivities is then linked to modular forms via gradient flow and the resulting flow diagrams show remarkable agreement with existing experimental data on the temperature flow of both integral and fractional quantum Hall conductivities.

9.361722

9.412337

9.984172

8.985085

9.661373

9.298798

9.332807

9.588244

8.891288

11.169049

9.462724

9.372095

9.367663

8.874462

9.229822

9.199621

9.068754

9.398754

8.90273

9.460641

9.371356

1806.01727

Yusuke Kimura

$SU(n) \times \mathbb{Z}_2$ in F-theory on K3 surfaces without section as double covers of Halphen surfaces

29 pages

Adv.Theor.Math.Phys. 24(2020), 459-490

10.4310/ATMP.2020.v24.n2.a5

KEK-TH-2057

hep-th math.AG

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

We investigate F-theory models with a discrete $\mathbb{Z}_2$ gauge symmetry and $SU(n)$ gauge symmetries. We utilize a class of rational elliptic surfaces lacking a global section, known as Halphen surfaces of index 2, to yield genus-one fibered K3 surfaces with a bisection, but lacking a global section. We consider F-theory compactifications on these K3 surfaces times a K3 surface to build such models. We construct Halphen surfaces of index 2 with type $I_n$ fibers, and we take double covers of these surfaces to obtain K3 surfaces without a section with two type $I_n$ fibers, and K3 surfaces without a section with a type $I_{2n}$ fiber. We study these models to advance the understanding of gauge groups that form in F-theory compactifications on the moduli of bisection geometries. Our results also show that the Halphen surfaces of index 2 can have type $I_n$ fibers up to $I_9$. We construct an example of such a surface and determine the complex structure of the Jacobian of this surface. This allows us to precisely determine the non-Abelian gauge groups that arise in F-theory compactifications on genus-one fibered K3 surfaces obtained as double covers of this Halphen surface of index 2, with a type $I_9$ fiber times a K3 surface. We also determine the $U(1)$ gauge symmetries for compactifications when K3 surfaces as double covers of Halphen surfaces with type $I_9$ fiber are ramified over a smooth fiber.

[ { "created": "Tue, 5 Jun 2018 14:52:52 GMT", "version": "v1" }, { "created": "Fri, 6 Jul 2018 05:24:50 GMT", "version": "v2" } ]

2020-07-14

[ [ "Kimura", "Yusuke", "" ] ]

We investigate F-theory models with a discrete $\mathbb{Z}_2$ gauge symmetry and $SU(n)$ gauge symmetries. We utilize a class of rational elliptic surfaces lacking a global section, known as Halphen surfaces of index 2, to yield genus-one fibered K3 surfaces with a bisection, but lacking a global section. We consider F-theory compactifications on these K3 surfaces times a K3 surface to build such models. We construct Halphen surfaces of index 2 with type $I_n$ fibers, and we take double covers of these surfaces to obtain K3 surfaces without a section with two type $I_n$ fibers, and K3 surfaces without a section with a type $I_{2n}$ fiber. We study these models to advance the understanding of gauge groups that form in F-theory compactifications on the moduli of bisection geometries. Our results also show that the Halphen surfaces of index 2 can have type $I_n$ fibers up to $I_9$. We construct an example of such a surface and determine the complex structure of the Jacobian of this surface. This allows us to precisely determine the non-Abelian gauge groups that arise in F-theory compactifications on genus-one fibered K3 surfaces obtained as double covers of this Halphen surface of index 2, with a type $I_9$ fiber times a K3 surface. We also determine the $U(1)$ gauge symmetries for compactifications when K3 surfaces as double covers of Halphen surfaces with type $I_9$ fiber are ramified over a smooth fiber.

6.047502

5.738387

7.112976

5.749097

5.619817

5.671774

5.789175

5.750716

5.6108

7.095724

5.646681

5.916144

6.163629

6.016748

5.918016

5.912628

5.772023

5.956451

5.855746

6.169185

5.849276

1003.1702

Claude Duhr

Vittorio Del Duca, Claude Duhr, Vladimir A. Smirnov

The Two-Loop Hexagon Wilson Loop in N = 4 SYM

120 pages. References added and typos in Appendix G corrected.

JHEP 1005:084,2010

10.1007/JHEP05(2010)084

IPPP/10/21, DCPT/10/42, CERN-PH-TH/2010-059

hep-th

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

In the planar N=4 supersymmetric Yang-Mills theory, the conformal symmetry constrains multi-loop n-edged Wilson loops to be given in terms of the one-loop n-edged Wilson loop, augmented, for n greater than 6, by a function of conformally invariant cross ratios. That function is termed the remainder function. In a recent paper, we have displayed the first analytic computation of the two-loop six-edged Wilson loop, and thus of the corresponding remainder function. Although the calculation was performed in the quasi-multi-Regge kinematics of a pair along the ladder, the Regge exactness of the six-edged Wilson loop in those kinematics entails that the result is the same as in general kinematics. We show in detail how the most difficult of the integrals is computed, which contribute to the six-edged Wilson loop. Finally, the remainder function is given as a function of uniform transcendental weight four in terms of Goncharov polylogarithms. We consider also some asymptotic values of the remainder function, and the value when all the cross ratios are equal.

[ { "created": "Mon, 8 Mar 2010 19:47:05 GMT", "version": "v1" }, { "created": "Wed, 10 Mar 2010 19:23:57 GMT", "version": "v2" } ]

2014-11-20

[ [ "Del Duca", "Vittorio", "" ], [ "Duhr", "Claude", "" ], [ "Smirnov", "Vladimir A.", "" ] ]

In the planar N=4 supersymmetric Yang-Mills theory, the conformal symmetry constrains multi-loop n-edged Wilson loops to be given in terms of the one-loop n-edged Wilson loop, augmented, for n greater than 6, by a function of conformally invariant cross ratios. That function is termed the remainder function. In a recent paper, we have displayed the first analytic computation of the two-loop six-edged Wilson loop, and thus of the corresponding remainder function. Although the calculation was performed in the quasi-multi-Regge kinematics of a pair along the ladder, the Regge exactness of the six-edged Wilson loop in those kinematics entails that the result is the same as in general kinematics. We show in detail how the most difficult of the integrals is computed, which contribute to the six-edged Wilson loop. Finally, the remainder function is given as a function of uniform transcendental weight four in terms of Goncharov polylogarithms. We consider also some asymptotic values of the remainder function, and the value when all the cross ratios are equal.

8.428094

8.605056

7.787828

7.416212

8.289522

8.509294

8.642866

8.324949

7.585606

9.618812

8.058753

7.904204

8.023271

7.99416

7.601006

7.815293

7.643592

7.699241

7.808974

8.433674

7.862907

0911.5549

Hideki Ishihara

Takahisa Igata and Hideki Ishihara

Dynamics of Toroidal Spiral Strings around Five-dimensional Black Holes

16 pages, 1 figure, minor changes, references added

Phys.Rev.D81:044024,2010

10.1103/PhysRevD.81.044024

OCU-PHYS 322, AP-GR 73

hep-th gr-qc

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

We examine the separability of the Nambu-Goto equation for test strings in a shape of toroidal spiral in a five-dimensional Kerr-AdS black hole. In particular, for a `{\it Hopf loop}\rq string which is a special class of the toroidal spiral strings, we show the complete separation of variables occurs in two cases, Kerr background and Kerr-AdS background with equal angular momenta. We also obtain the dynamical solution for the Hopf loop around a black hole and for the general toroidal spiral in Minkowski background.

[ { "created": "Mon, 30 Nov 2009 06:21:06 GMT", "version": "v1" }, { "created": "Wed, 9 Dec 2009 03:31:05 GMT", "version": "v2" } ]

2014-11-20

[ [ "Igata", "Takahisa", "" ], [ "Ishihara", "Hideki", "" ] ]

We examine the separability of the Nambu-Goto equation for test strings in a shape of toroidal spiral in a five-dimensional Kerr-AdS black hole. In particular, for a `{\it Hopf loop}\rq string which is a special class of the toroidal spiral strings, we show the complete separation of variables occurs in two cases, Kerr background and Kerr-AdS background with equal angular momenta. We also obtain the dynamical solution for the Hopf loop around a black hole and for the general toroidal spiral in Minkowski background.

11.997715

11.362591

10.679828

10.05651

11.381652

11.804808

11.022797

11.036226

10.900764

13.244207

10.409986

10.718052

10.992748

10.221627

10.741559

10.880332

10.24979

10.554906

10.197556

11.166956

10.269159

1409.1058

Maxim Zabzine

Jian Qiu and Maxim Zabzine

On twisted N=2 5D super Yang-Mills theory

30 pages, the vanishing theorem is improved, refs added

Lett.Math.Phys. 106 (2016) 1-27

10.1007/s11005-015-0804-8

null

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

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

On a five dimensional simply connected Sasaki-Einstein manifold, one can construct Yang-Mills theories coupled to matter with at least two supersymmetries. The partition function of these theories localises on the contact instantons, however the contact instanton equations are not elliptic. It turns out that these equations can be embedded into the Haydys-Witten equations (which are elliptic) in the same way the 4D anti-self-dual instanton equations are embedded in the Vafa-Witten equations. We show that under some favourable circumstances, the latter equations will reduce to the former by proving some vanishing theorems. It was also known that the Haydys-Witten equations on product manifolds $M_5=M_4\times \mathbb{R}$ arise in the context of twisting the 5D maximally supersymmetric Yang-Mills theory. In this paper, we present the construction of twisted $N=2$ Yang-Mills theory on Sasaki-Einstein manifolds, and more generally on $K$-contact manifolds. The localisation locus of this new theory thus provides a covariant version of the Haydys-Witten equation.

[ { "created": "Wed, 3 Sep 2014 12:27:35 GMT", "version": "v1" }, { "created": "Sat, 15 Aug 2015 17:38:42 GMT", "version": "v2" } ]

2016-01-05

[ [ "Qiu", "Jian", "" ], [ "Zabzine", "Maxim", "" ] ]

On a five dimensional simply connected Sasaki-Einstein manifold, one can construct Yang-Mills theories coupled to matter with at least two supersymmetries. The partition function of these theories localises on the contact instantons, however the contact instanton equations are not elliptic. It turns out that these equations can be embedded into the Haydys-Witten equations (which are elliptic) in the same way the 4D anti-self-dual instanton equations are embedded in the Vafa-Witten equations. We show that under some favourable circumstances, the latter equations will reduce to the former by proving some vanishing theorems. It was also known that the Haydys-Witten equations on product manifolds $M_5=M_4\times \mathbb{R}$ arise in the context of twisting the 5D maximally supersymmetric Yang-Mills theory. In this paper, we present the construction of twisted $N=2$ Yang-Mills theory on Sasaki-Einstein manifolds, and more generally on $K$-contact manifolds. The localisation locus of this new theory thus provides a covariant version of the Haydys-Witten equation.

6.347824

6.222355

7.879255

6.430618

7.076755

6.315066

6.11975

6.422198

6.49059

7.663416

6.152133

5.996584

6.298609

6.050876

6.173198

6.189892

6.224316

5.97728

6.083792

6.189066

5.98727

2211.12027

Nitin Joshi

Sourav Bhattacharya, Nitin Joshi

Non-perturbative analysis for a massless minimal quantum scalar with $V(\phi)=\lambda \phi^4/4!+\beta \phi^3/3!$ in the inflationary de Sitter spacetime

v3, 38pp, 11 figures, 1 table; Added figure, references, discussions and clarifications; Improved presentation; Accepted in JCAP

null

10.1088/1475-7516/2023/03/058

null

hep-th astro-ph.CO gr-qc

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

We consider a massless, minimally coupled quantum scalar field theory with an asymmetric self interaction, $V (\phi) = \lambda\phi^4/4!+\beta\phi^3/3!$ ($\lambda >0$) in the inflationary de Sitter spacetime. The potential is bounded from below. While the $\beta=0$ case has been much well studied, the motivation behind taking such a hybrid potential corresponds to the fact that it might generate finite negative vacuum expectation values of $V(\phi)$ as well of $\phi$, leading to some dynamical screening of the inflationary cosmological constant $\Lambda$, at late times, with the initial conditions, $\langle \phi \rangle=0=\langle V(\phi) \rangle $. In this work we first compute the vacuum expectation values of $\phi,\, \phi^2$ and $V(\phi)$, using the late time, non-perturbative and infrared effective stochastic formalism. The backreactions to the inflationary $\Lambda$ are estimated. We also compute the dynamically generated mass of the scalar field using $\langle \phi^2 \rangle$. We next compute $\langle\phi^2\rangle$ using quantum field theory with respect to the initial Bunch-Davies vacuum at one and two loops, using the Schwinger-Keldysh formalism. These results show non-perturbative secular logarithms, growing with the cosmological time. Using next a recently proposed renormalisation group inspired formalism, we attempt to find out a resummed $\langle\phi^2\rangle$. We have been able to resum some part of the same which contains contributions only from the local self energy. The corresponding dynamically generated mass is computed. Comparison of the stochastic and the quantum field theory results shows that they differ numerically, although they have similar qualitative behaviour. Possible reasons for such quantitative mismatch is discussed. The manifestation of strong non-classical effects in the results found via both the formalisms has been emphasised.

[ { "created": "Tue, 22 Nov 2022 05:49:54 GMT", "version": "v1" }, { "created": "Wed, 14 Dec 2022 12:50:00 GMT", "version": "v2" }, { "created": "Thu, 2 Mar 2023 05:38:34 GMT", "version": "v3" } ]

2023-04-05

[ [ "Bhattacharya", "Sourav", "" ], [ "Joshi", "Nitin", "" ] ]

We consider a massless, minimally coupled quantum scalar field theory with an asymmetric self interaction, $V (\phi) = \lambda\phi^4/4!+\beta\phi^3/3!$ ($\lambda >0$) in the inflationary de Sitter spacetime. The potential is bounded from below. While the $\beta=0$ case has been much well studied, the motivation behind taking such a hybrid potential corresponds to the fact that it might generate finite negative vacuum expectation values of $V(\phi)$ as well of $\phi$, leading to some dynamical screening of the inflationary cosmological constant $\Lambda$, at late times, with the initial conditions, $\langle \phi \rangle=0=\langle V(\phi) \rangle $. In this work we first compute the vacuum expectation values of $\phi,\, \phi^2$ and $V(\phi)$, using the late time, non-perturbative and infrared effective stochastic formalism. The backreactions to the inflationary $\Lambda$ are estimated. We also compute the dynamically generated mass of the scalar field using $\langle \phi^2 \rangle$. We next compute $\langle\phi^2\rangle$ using quantum field theory with respect to the initial Bunch-Davies vacuum at one and two loops, using the Schwinger-Keldysh formalism. These results show non-perturbative secular logarithms, growing with the cosmological time. Using next a recently proposed renormalisation group inspired formalism, we attempt to find out a resummed $\langle\phi^2\rangle$. We have been able to resum some part of the same which contains contributions only from the local self energy. The corresponding dynamically generated mass is computed. Comparison of the stochastic and the quantum field theory results shows that they differ numerically, although they have similar qualitative behaviour. Possible reasons for such quantitative mismatch is discussed. The manifestation of strong non-classical effects in the results found via both the formalisms has been emphasised.

8.682088

7.93658

8.385694

8.158237

8.53846

8.593638

8.189237

8.3979

8.217193

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7.956276

8.511283

8.691242

8.351298

8.392598

8.632054

8.48469

8.240219

8.552778

8.546663

8.476775

hep-th/0206226

Graziano Vernizzi

J.F. Wheater and G. Vernizzi

Rotational Symmetry Breaking in Multi-Matrix Models

LaTeX, 18 pages, 2 figures

Phys.Rev.D66:085024,2002; Erratum-ibid.D67:029904,2003

10.1103/PhysRevD.66.085024 10.1103/PhysRevD.67.029904

OUTP-02-29P

hep-th cond-mat

null

We consider a class of multi-matrix models with an action which is O(D) invariant, where D is the number of NxN Hermitian matrices X_\mu, \mu=1,...,D. The action is a function of all the elementary symmetric functions of the matrix $T_{\mu\nu}=Tr(X_\mu X_\nu)/N$. We address the issue whether the O(D) symmetry is spontaneously broken when the size N of the matrices goes to infinity. The phase diagram in the space of the parameters of the model reveals the existence of a critical boundary where the O(D) symmetry is maximally broken.

[ { "created": "Tue, 25 Jun 2002 16:53:50 GMT", "version": "v1" } ]

2014-11-18

[ [ "Wheater", "J. F.", "" ], [ "Vernizzi", "G.", "" ] ]

We consider a class of multi-matrix models with an action which is O(D) invariant, where D is the number of NxN Hermitian matrices X_\mu, \mu=1,...,D. The action is a function of all the elementary symmetric functions of the matrix $T_{\mu\nu}=Tr(X_\mu X_\nu)/N$. We address the issue whether the O(D) symmetry is spontaneously broken when the size N of the matrices goes to infinity. The phase diagram in the space of the parameters of the model reveals the existence of a critical boundary where the O(D) symmetry is maximally broken.

6.209574

6.068482

6.443385

6.093129

6.207718

5.691486

6.010804

5.838778

5.463081

6.42568

5.326833

5.53194

5.979038

5.616556

5.691289

5.577149

5.647805

5.737367

5.726552

6.181355

5.705724

hep-th/9706040

null

Yi-Yen Wu (UC Berkeley, Lawrence Berkeley Lab)

Supersymmetry Breaking in Superstring Theory by Gaugino Condensation and its Phenomenology

Ph.D. Thesis, 129 pages, LaTeX, 8 figures included using epsf

null

LBNL-40273, UCB-PTH-97/18

hep-th hep-ph

null

The weakly-coupled heterotic string is known to have problems of dilaton/moduli stabilization, supersymmetry breaking (by hidden-sector gaugino condensation), gauge coupling unification (or the Newton's constant), QCD axion, as well as cosmological problems. We study these problems by adopting the viewpoint that they arise mostly due to our limited calculational power, little knowledge of the vacuum structure, and an inappropriate treatment of gaugino condensation. It turns out that these problems can be solved or are much less severe after a more consistent and complete treatment. There are two kinds of non-perturbative effects in the construction of effective field theory: the field-theoretical non-perturbative effects of gaugino condensation (with a constraint ignored in the past) and the stringy non-perturbative effects conjectured by Shenker, which are best described using the linear multiplet formalism. Stringy non-perturbative corrections to the K\"ahler potential are invoked to stabilize the dilaton at a value compatible with a weak coupling regime. Modular invariance is ensured through the Green-Schwarz counterterm and string threshold corrections which, together with hidden matter condensation, lead to moduli stabilization at the self-dual point where the vev's of moduli's F-components vanish. In the vacuum, supersymmetry is broken at a realistic scale with vanishing cosmological constant. As for soft supersymmetry breaking, our model always leads to a dilaton-dominated scenario. For the strong CP problem, the model-independent axion has the right properties to be the QCD axion. Furthermore, there is a natural mass hierarchy between the dilaton/moduli and the gravitino, which could solve the cosmological moduli problem and the cosmological problem of the model-independent axion.

[ { "created": "Thu, 5 Jun 1997 21:04:19 GMT", "version": "v1" } ]

2007-05-23

[ [ "Wu", "Yi-Yen", "", "UC Berkeley, Lawrence Berkeley Lab" ] ]

The weakly-coupled heterotic string is known to have problems of dilaton/moduli stabilization, supersymmetry breaking (by hidden-sector gaugino condensation), gauge coupling unification (or the Newton's constant), QCD axion, as well as cosmological problems. We study these problems by adopting the viewpoint that they arise mostly due to our limited calculational power, little knowledge of the vacuum structure, and an inappropriate treatment of gaugino condensation. It turns out that these problems can be solved or are much less severe after a more consistent and complete treatment. There are two kinds of non-perturbative effects in the construction of effective field theory: the field-theoretical non-perturbative effects of gaugino condensation (with a constraint ignored in the past) and the stringy non-perturbative effects conjectured by Shenker, which are best described using the linear multiplet formalism. Stringy non-perturbative corrections to the K\"ahler potential are invoked to stabilize the dilaton at a value compatible with a weak coupling regime. Modular invariance is ensured through the Green-Schwarz counterterm and string threshold corrections which, together with hidden matter condensation, lead to moduli stabilization at the self-dual point where the vev's of moduli's F-components vanish. In the vacuum, supersymmetry is broken at a realistic scale with vanishing cosmological constant. As for soft supersymmetry breaking, our model always leads to a dilaton-dominated scenario. For the strong CP problem, the model-independent axion has the right properties to be the QCD axion. Furthermore, there is a natural mass hierarchy between the dilaton/moduli and the gravitino, which could solve the cosmological moduli problem and the cosmological problem of the model-independent axion.

8.257819

8.72998

8.619217

8.059294

8.419415

7.978446

8.323852

8.32008

7.873621

9.157774

7.999154

8.23192

8.234569

8.049089

8.449333

8.209152

8.074045

8.16026

8.10008

8.222734

8.192552

0812.1190

Eugene Cremmer

Eugene Cremmer (LPTENS)

Personnal recollections about the birth of string theory

7 pages

null

LPTENS-08/61

hep-th physics.hist-ph

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

Invited contribution to the collective book "The Birth of String Theory"

[ { "created": "Fri, 5 Dec 2008 17:58:45 GMT", "version": "v1" } ]

2009-04-05

[ [ "Cremmer", "Eugene", "", "LPTENS" ] ]

Invited contribution to the collective book "The Birth of String Theory"

44.454311

9.726196

14.052588

9.396422

9.301201

7.433182

8.378964

10.299586

9.506454

15.192735

11.861936

16.412352

14.902231

14.15068

13.667233

16.906824

13.348576

14.221622

13.464973

15.480127

13.343921

hep-th/0702155

Roberto Casero

Roberto Casero, Elias Kiritsis, Angel Paredes

Chiral symmetry breaking as open string tachyon condensation

30 pages + 5 appendices, 2 figures

Nucl.Phys.B787:98-134,2007

10.1016/j.nuclphysb.2007.07.009

CPHT-RR009.0207

hep-th hep-ph

null

We consider a general framework to study holographically the dynamics of fundamental quarks in a confining gauge theory. Flavors are introduced by placing a set of (coincident) branes and antibranes on a background dual to a confining color theory. The spectrum contains an open string tachyon and its condensation describes the U(N_f)_L x U(N_f)_R -> U(N_f)_V symmetry breaking. By studying worldvolume gauge transformations of the flavor brane action, we obtain the QCD global anomalies and an IR condition that allows to fix the quark condensate in terms of the quark mass. We find the expected N_f^2 Goldstone bosons (for m_q=0), the Gell-Mann-Oakes-Renner relation (for m_q small) and the \eta' mass. Remarkably, the linear confinement behavior for the masses of highly excited spin-1 mesons, m_n^2 ~ n is naturally reproduced.

[ { "created": "Tue, 20 Feb 2007 17:06:05 GMT", "version": "v1" } ]

2008-11-26

[ [ "Casero", "Roberto", "" ], [ "Kiritsis", "Elias", "" ], [ "Paredes", "Angel", "" ] ]

We consider a general framework to study holographically the dynamics of fundamental quarks in a confining gauge theory. Flavors are introduced by placing a set of (coincident) branes and antibranes on a background dual to a confining color theory. The spectrum contains an open string tachyon and its condensation describes the U(N_f)_L x U(N_f)_R -> U(N_f)_V symmetry breaking. By studying worldvolume gauge transformations of the flavor brane action, we obtain the QCD global anomalies and an IR condition that allows to fix the quark condensate in terms of the quark mass. We find the expected N_f^2 Goldstone bosons (for m_q=0), the Gell-Mann-Oakes-Renner relation (for m_q small) and the \eta' mass. Remarkably, the linear confinement behavior for the masses of highly excited spin-1 mesons, m_n^2 ~ n is naturally reproduced.

8.097724

8.678284

8.409156

7.83226

7.781392

8.178947

7.576713

8.010769

7.886929

8.804317

7.667201

7.939788

7.891135

7.482845

7.741076

8.119316

7.68704

7.559576

7.883704

8.218297

7.787423

hep-th/0604193

Xinkai Wu

Tristan McLoughlin and Xinkai Wu

Kinky Strings in AdS_5 x S^5

35 pages, 6 figures; Version 2 references added

JHEP0608:063,2006

10.1088/1126-6708/2006/08/063

null

hep-th

null

We construct a family of closed string solutions with kinks in a subspace of AdS_5 x S^5 and study their properties. In certain limits these solutions become folded pulsating strings, although in general they are made of multiple pulsating rectangles. One unusual feature of these solutions is that their monodromy matrices are trivial, leading to vanishing quasi-momenta. Exact Backlund transformations of these solutions are found, again giving vanishing higher conserved charges. We also consider the fluctuation modes around these solutions as well as the semiclassical splitting of these strings.

[ { "created": "Wed, 26 Apr 2006 02:44:00 GMT", "version": "v1" }, { "created": "Sat, 24 Jun 2006 08:14:19 GMT", "version": "v2" } ]

2009-11-11

[ [ "McLoughlin", "Tristan", "" ], [ "Wu", "Xinkai", "" ] ]

We construct a family of closed string solutions with kinks in a subspace of AdS_5 x S^5 and study their properties. In certain limits these solutions become folded pulsating strings, although in general they are made of multiple pulsating rectangles. One unusual feature of these solutions is that their monodromy matrices are trivial, leading to vanishing quasi-momenta. Exact Backlund transformations of these solutions are found, again giving vanishing higher conserved charges. We also consider the fluctuation modes around these solutions as well as the semiclassical splitting of these strings.

13.21056

12.056745

12.874536

11.36717

11.544828

11.810193

11.894106

11.325191

12.3853

14.960959

11.155945

11.630689

12.91045

12.058088

11.711433

12.067389

11.903953

12.032006

11.88261

12.548038

11.982395

2204.13023

Ekapong Hirunsirisawat

Ekapong Hirunsirisawat, Ratchaphat Nakarachinda, Chatchai Promsiri

Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from R\'enyi Statistics

46 pages, 15 figures

Phys. Rev. D 105, 124049 (2022)

10.1103/PhysRevD.105.124049

null

hep-th gr-qc

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

Recently, a novel emergent phase can occur from thermodynamic consideration of the asymptotically flat Reissner-Nordstr\"om black hole (RN-AF) using R\'enyi statistics. We present an analysis of the thermodynamical and mechanical stabilities of the RN-AF in both the Gibbs-Boltzmann (GB) and the alternative R\'enyi statistics when charge $q$ and electrostatic potential $\phi$ are treated as pressure and volume, respectively. Interestingly, the emergent phase of the RN-AF can be both thermodynamically and mechanically stable in some range of parameters in the framework of R\'enyi thermodynamics. With the construction of the Maxwell equal area law in $q-\phi$ plane, the coexistence line between the near-extremal black hole phase and the emergent phase can be found in some values of charge which can be associated as the vapor pressure at which the liquid and gas phases coexist. In the aspect of thermodynamic geometry, the microscopic interaction between the black hole microstructures can be repulsive in the R\'enyi description. This implies that a novel correlation between the microstates of a self-gravitating system could be emerged via the nonextensive nature of long-range interaction systems. Finally, we also investigate the critical phenomena of the RN-AF in R\'enyi statistics compared to that of the van der Waals (vdW) fluid and find that the critical exponents of the relevant physical quantities of both systems are identical. This implies that both systems are in the same universality class of the phase transition.

[ { "created": "Wed, 27 Apr 2022 16:01:51 GMT", "version": "v1" }, { "created": "Tue, 3 May 2022 12:46:36 GMT", "version": "v2" } ]

2023-03-21

[ [ "Hirunsirisawat", "Ekapong", "" ], [ "Nakarachinda", "Ratchaphat", "" ], [ "Promsiri", "Chatchai", "" ] ]

Recently, a novel emergent phase can occur from thermodynamic consideration of the asymptotically flat Reissner-Nordstr\"om black hole (RN-AF) using R\'enyi statistics. We present an analysis of the thermodynamical and mechanical stabilities of the RN-AF in both the Gibbs-Boltzmann (GB) and the alternative R\'enyi statistics when charge $q$ and electrostatic potential $\phi$ are treated as pressure and volume, respectively. Interestingly, the emergent phase of the RN-AF can be both thermodynamically and mechanically stable in some range of parameters in the framework of R\'enyi thermodynamics. With the construction of the Maxwell equal area law in $q-\phi$ plane, the coexistence line between the near-extremal black hole phase and the emergent phase can be found in some values of charge which can be associated as the vapor pressure at which the liquid and gas phases coexist. In the aspect of thermodynamic geometry, the microscopic interaction between the black hole microstructures can be repulsive in the R\'enyi description. This implies that a novel correlation between the microstates of a self-gravitating system could be emerged via the nonextensive nature of long-range interaction systems. Finally, we also investigate the critical phenomena of the RN-AF in R\'enyi statistics compared to that of the van der Waals (vdW) fluid and find that the critical exponents of the relevant physical quantities of both systems are identical. This implies that both systems are in the same universality class of the phase transition.

7.354973

7.138183

6.610773

6.132845

6.698161

6.792259

7.342417

6.390337

6.680899

6.852993

6.77418

7.140173

6.893531

6.962378

6.870244

7.082535

7.161226

6.758661

7.029427

6.988933

6.956635

hep-th/0302060

Hyun Seok Yang

Jongwook Kim, Bum-Hoon Lee and Hyun Seok Yang

Superstrings and D-branes in A Plane Wave

v4: 28 pages, Latex, Worldsheet derivation of conserved supercurrents for all half BPS D-branes newly added, improved presentation and typos

Phys.Rev. D68 (2003) 026004

10.1103/PhysRevD.68.026004

SOGANG-HEP 304/03, AEI-2003-018

hep-th

null

We carefully analyze the supersymmetry algebra of closed strings and open strings in a type IIB plane wave background. We use eight component chiral spinors, SO(8) Majorana-Weyl spinors, in light-cone gauge to provide a useful basis of string field theory calculation in the plane wave. We consider the two classes of D-branes, $D_\pm$-branes, and give a worldsheet derivation of conserved supercurrents for all half BPS D-branes preserving 16 supersymmetries in the type IIB plane wave background. We exhaustively provide the supersymmetry algebra of the half BPS branes as well. We also point out that the supersymmetry algebra distinguishes the two SO(4) directions with relative sign which is consistent with the Z_2 symmetry of the string action.

[ { "created": "Mon, 10 Feb 2003 05:55:05 GMT", "version": "v1" }, { "created": "Thu, 13 Feb 2003 09:23:09 GMT", "version": "v2" }, { "created": "Thu, 20 Feb 2003 07:44:52 GMT", "version": "v3" }, { "created": "Mon, 21 Apr 2003 05:56:29 GMT", "version": "v4" } ]

2009-11-10

[ [ "Kim", "Jongwook", "" ], [ "Lee", "Bum-Hoon", "" ], [ "Yang", "Hyun Seok", "" ] ]

We carefully analyze the supersymmetry algebra of closed strings and open strings in a type IIB plane wave background. We use eight component chiral spinors, SO(8) Majorana-Weyl spinors, in light-cone gauge to provide a useful basis of string field theory calculation in the plane wave. We consider the two classes of D-branes, $D_\pm$-branes, and give a worldsheet derivation of conserved supercurrents for all half BPS D-branes preserving 16 supersymmetries in the type IIB plane wave background. We exhaustively provide the supersymmetry algebra of the half BPS branes as well. We also point out that the supersymmetry algebra distinguishes the two SO(4) directions with relative sign which is consistent with the Z_2 symmetry of the string action.

9.831965

8.332648

10.523152

8.337064

9.267745

9.25604

9.154858

8.704105

8.48957

11.444752

8.199229

8.9028

9.620846

8.715223

8.866043

8.306575

8.748323

8.544178

8.678326

9.487639

8.710478

2404.02001

Edward Witten

Sourav Chatterjee and Edward Witten

Liouville Theory: An Introduction to Rigorous Approaches

41 pp, added references in v. 2

null

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

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

In recent years, a surprisingly direct and simple rigorous understanding of quantum Liouville theory has developed. We aim here to make this material more accessible to physicists working on quantum field theory.

[ { "created": "Tue, 2 Apr 2024 14:43:41 GMT", "version": "v1" }, { "created": "Fri, 5 Apr 2024 00:15:55 GMT", "version": "v2" } ]

2024-04-08

[ [ "Chatterjee", "Sourav", "" ], [ "Witten", "Edward", "" ] ]

In recent years, a surprisingly direct and simple rigorous understanding of quantum Liouville theory has developed. We aim here to make this material more accessible to physicists working on quantum field theory.

23.719278

17.579884

19.535658

15.302091

18.264685

16.029148

16.155087

16.57365

15.951711

17.627705

16.549427

15.989427

19.510202

16.960407

16.956627

16.937548

16.126616

16.74357

15.846778

17.084421

17.815706

hep-th/0202162

Yigal Shamir

Maarten Golterman and Yigal Shamir

Fermion-number violation in regularizations that preserve fermion-number symmetry

Improvements in presentation; no change in conclusions. Version to appear in Phys. Rev. D

Phys.Rev. D67 (2003) 014501

10.1103/PhysRevD.67.014501

TAUP-2697-02

hep-th hep-lat hep-ph

null

There exist both continuum and lattice regularizations of gauge theories with fermions which preserve chiral U(1) invariance ("fermion number"). Such regularizations necessarily break gauge invariance but, in a covariant gauge, one recovers gauge invariance to all orders in perturbation theory by including suitable counterterms. At the non-perturbative level, an apparent conflict then arises between the chiral U(1) symmetry of the regularized theory and the existence of 't Hooft vertices in the renormalized theory. The only possible resolution of the paradox is that the chiral U(1) symmetry is broken spontaneously in the enlarged Hilbert space of the covariantly gauge-fixed theory. The corresponding Goldstone boson is unphysical. The theory must therefore be defined by introducing a small fermion-mass term that breaks explicitly the chiral U(1) invariance, and is sent to zero after the infinite-volume limit has been taken. Using this careful definition (and a lattice regularization) for the calculation of correlation functions in the one-instanton sector, we show that the 't Hooft vertices are recovered as expected.

[ { "created": "Sun, 24 Feb 2002 09:57:01 GMT", "version": "v1" }, { "created": "Thu, 14 Nov 2002 07:43:32 GMT", "version": "v2" } ]

2009-11-07

[ [ "Golterman", "Maarten", "" ], [ "Shamir", "Yigal", "" ] ]

There exist both continuum and lattice regularizations of gauge theories with fermions which preserve chiral U(1) invariance ("fermion number"). Such regularizations necessarily break gauge invariance but, in a covariant gauge, one recovers gauge invariance to all orders in perturbation theory by including suitable counterterms. At the non-perturbative level, an apparent conflict then arises between the chiral U(1) symmetry of the regularized theory and the existence of 't Hooft vertices in the renormalized theory. The only possible resolution of the paradox is that the chiral U(1) symmetry is broken spontaneously in the enlarged Hilbert space of the covariantly gauge-fixed theory. The corresponding Goldstone boson is unphysical. The theory must therefore be defined by introducing a small fermion-mass term that breaks explicitly the chiral U(1) invariance, and is sent to zero after the infinite-volume limit has been taken. Using this careful definition (and a lattice regularization) for the calculation of correlation functions in the one-instanton sector, we show that the 't Hooft vertices are recovered as expected.

5.635221

6.23297

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6.40671

6.470007

6.508568

6.144798

6.106737

6.489585

5.893826

5.500261

5.777162

5.689491

5.526109

5.61024

5.659204

5.555581

5.677854

5.890713

5.578498

1905.09488

Matteo Baggioli

Matteo Baggioli, Sebastian Grieninger

Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation

v3: new section about the comparison with Hydro+, new section proving the universal relation for the Goldstone phase relaxation; version accepted in JHEP

J. High Energ. Phys. (2019) 2019: 235

10.1007/JHEP10(2019)235

IFT-UAM/CSIC-19-63

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

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

We provide a comprehensive classification of isotropic solid and fluid holographic models with broken translational invariance. We describe in detail the collective modes in both the transverse and longitudinal sectors. First, we discuss holographic fluid models, i.e. systems invariant under internal volume preserving diffeomorphisms. We consider the explicit (EXB) and the spontaneous (SSB) breaking of translations and we emphasize the differences with respect to their solid counterpart. Then, we present a study of the longitudinal collective modes in simple holographic solid and fluid models exhibiting the interplay between SSB and EXB. We confirm the presence of light pseudo-phonons obeying the Gell-Mann-Oakes-Renner relation and the validity of the relation proposed in the literature between the novel phase relaxation scale, the mass of the pseudo-Golstone modes and the Goldstone diffusion. Moreover, we find very good agreement between the dispersion relation of our longitudinal sound mode and the formulae derived from the Hydro$+$ framework. Finally, our results suggest that the crystal diffusion mode does not acquire a simple damping term because of the novel relaxation scale proportional to the EXB. The dynamics is more complex and it involves the interplay of three modes: the crystal diffusion and two more arising from the splitting of the original sound mode. In this sense, the novel relaxation scale, which comes from the explicit breaking of the global internal shift symmetry of the St\"uckelberg fields, is different from the one induced by elastic defects, and depending solely on the SSB scale.

[ { "created": "Thu, 23 May 2019 06:11:40 GMT", "version": "v1" }, { "created": "Wed, 5 Jun 2019 10:42:46 GMT", "version": "v2" }, { "created": "Thu, 17 Oct 2019 03:44:57 GMT", "version": "v3" } ]

2019-11-05

[ [ "Baggioli", "Matteo", "" ], [ "Grieninger", "Sebastian", "" ] ]

We provide a comprehensive classification of isotropic solid and fluid holographic models with broken translational invariance. We describe in detail the collective modes in both the transverse and longitudinal sectors. First, we discuss holographic fluid models, i.e. systems invariant under internal volume preserving diffeomorphisms. We consider the explicit (EXB) and the spontaneous (SSB) breaking of translations and we emphasize the differences with respect to their solid counterpart. Then, we present a study of the longitudinal collective modes in simple holographic solid and fluid models exhibiting the interplay between SSB and EXB. We confirm the presence of light pseudo-phonons obeying the Gell-Mann-Oakes-Renner relation and the validity of the relation proposed in the literature between the novel phase relaxation scale, the mass of the pseudo-Golstone modes and the Goldstone diffusion. Moreover, we find very good agreement between the dispersion relation of our longitudinal sound mode and the formulae derived from the Hydro$+$ framework. Finally, our results suggest that the crystal diffusion mode does not acquire a simple damping term because of the novel relaxation scale proportional to the EXB. The dynamics is more complex and it involves the interplay of three modes: the crystal diffusion and two more arising from the splitting of the original sound mode. In this sense, the novel relaxation scale, which comes from the explicit breaking of the global internal shift symmetry of the St\"uckelberg fields, is different from the one induced by elastic defects, and depending solely on the SSB scale.

12.885361

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12.576712

11.942042

12.350057

12.182628

12.029425

11.746027

11.860436

12.364939

11.922759

hep-th/0409196

Meng Chwan Tan

M.C. Tan

A Large N Type IIB Duality via a Spin(7) Geometric Transition as an F-theory Flop

62 pages, 2 figures, LaTeX. Major conceptual changes from v1 and v2

null

hep-th

null

The geometric features and toric descriptions of two different 8-dimensional $Spin(7)$ manifolds constructed via distinct resolutions of the cone over an $SU(3)/U(1)$ base, reveals that the geometry of the $Spin(7)$ conifold transition considered by Gukov et al. in \cite{gst}, is effected by a transition in its 6-dimensional submanifold which is isomorphic to a resolved or deformed Calabi-Yau 3-fold. This allows for a natural extension of the Gopakumar-Vafa large $N$ superstring duality of \cite{gv, v}; IIB superstring theory compactified on the $Spin(7)$ manifold with $N$ space-filling D5-branes wrapping an even-dimensional supersymmetric cycle, can be argued to undergo a large $N$ geometric transition at low energy to a $\it dual$ geometry with no branes but with certain units of 3-form fluxes through appropriate 3-cycles. For small $\it{or}$ large string coupling in a non-trivial axion field background, this large $N$ type IIB duality can be lifted to a purely geometric $\mathbb {RP}^5$ flop without D5-branes and 3-form fluxes via an F-theoretic description. The orientable, 10-dimensional, non-compact, Ricci-flat, $spin^c$ manifold undergoing the $\it{smooth}$ $\mathbb {RP}^5$ flop possesses an extended $SU(5) \odot {\mathbb Z_2}$ holonomy group, thus preserving 1/32 of the maximal supersymmetry, consistent with the resulting $\mathcal N =(1,0)$ supersymmetric pure SU(N) theory in 1+1 dimensions.

[ { "created": "Mon, 20 Sep 2004 09:31:05 GMT", "version": "v1" }, { "created": "Sun, 26 Sep 2004 04:40:29 GMT", "version": "v2" }, { "created": "Sun, 19 Jun 2005 15:09:51 GMT", "version": "v3" } ]

2007-05-23

[ [ "Tan", "M. C.", "" ] ]

The geometric features and toric descriptions of two different 8-dimensional $Spin(7)$ manifolds constructed via distinct resolutions of the cone over an $SU(3)/U(1)$ base, reveals that the geometry of the $Spin(7)$ conifold transition considered by Gukov et al. in \cite{gst}, is effected by a transition in its 6-dimensional submanifold which is isomorphic to a resolved or deformed Calabi-Yau 3-fold. This allows for a natural extension of the Gopakumar-Vafa large $N$ superstring duality of \cite{gv, v}; IIB superstring theory compactified on the $Spin(7)$ manifold with $N$ space-filling D5-branes wrapping an even-dimensional supersymmetric cycle, can be argued to undergo a large $N$ geometric transition at low energy to a $\it dual$ geometry with no branes but with certain units of 3-form fluxes through appropriate 3-cycles. For small $\it{or}$ large string coupling in a non-trivial axion field background, this large $N$ type IIB duality can be lifted to a purely geometric $\mathbb {RP}^5$ flop without D5-branes and 3-form fluxes via an F-theoretic description. The orientable, 10-dimensional, non-compact, Ricci-flat, $spin^c$ manifold undergoing the $\it{smooth}$ $\mathbb {RP}^5$ flop possesses an extended $SU(5) \odot {\mathbb Z_2}$ holonomy group, thus preserving 1/32 of the maximal supersymmetry, consistent with the resulting $\mathcal N =(1,0)$ supersymmetric pure SU(N) theory in 1+1 dimensions.

10.051047

11.055504

11.481249

10.681503

10.587666

11.225338

10.828661

10.547088

10.115137

12.210986

10.075068

10.130632

10.227068

9.799165

10.203407

10.119325

10.085365

10.26585

10.164415

10.217001

9.934418

1402.4212

Amitabh Virmani

Souvik Banerjee, Borun D. Chowdhury, Bert Vercnocke, Amitabh Virmani

Non-supersymmetric Microstates of the MSW System

38 pages, including appendices and references; v2 refs + one paragraph added

null

10.1007/JHEP05(2014)011

null

hep-th gr-qc

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

We present an analysis parallel to that of Giusto, Ross, and Saxena (arXiv:0708.3845) and construct a discrete family of non-supersymmetric microstate geometries of the Maldacena-Strominger-Witten system. The supergravity configuration in which we look for the smooth microstates is constructed using SO(4,4) dualities applied to an appropriate seed solution. The SO(4,4) approach offers certain technical advantages. Our microstate solutions are smooth in five dimensions, as opposed to all previously known non-supersymmetric microstates with AdS3 cores, which are smooth only in six dimensions. The decoupled geometries for our microstates are related to global AdS3 x S2 by spectral flows.

[ { "created": "Tue, 18 Feb 2014 02:50:14 GMT", "version": "v1" }, { "created": "Mon, 17 Mar 2014 04:28:39 GMT", "version": "v2" } ]

2015-06-18

[ [ "Banerjee", "Souvik", "" ], [ "Chowdhury", "Borun D.", "" ], [ "Vercnocke", "Bert", "" ], [ "Virmani", "Amitabh", "" ] ]

We present an analysis parallel to that of Giusto, Ross, and Saxena (arXiv:0708.3845) and construct a discrete family of non-supersymmetric microstate geometries of the Maldacena-Strominger-Witten system. The supergravity configuration in which we look for the smooth microstates is constructed using SO(4,4) dualities applied to an appropriate seed solution. The SO(4,4) approach offers certain technical advantages. Our microstate solutions are smooth in five dimensions, as opposed to all previously known non-supersymmetric microstates with AdS3 cores, which are smooth only in six dimensions. The decoupled geometries for our microstates are related to global AdS3 x S2 by spectral flows.

11.995535

10.255872

12.782928

10.577968

11.366471

11.620469

11.575068

11.096254

11.578941

13.839942

11.250731

10.182527

11.475766

10.352237

10.668234

10.438737

10.885678

10.826451

10.618139

12.131161

10.50225

hep-th/0502087

Gerald V. Dunne

Gerald V. Dunne, Jin Hur, Choonkyu Lee, Hyunsoo Min

Calculation of QCD Instanton Determinant with Arbitrary Mass

32 pages, 7 figures, latex4

Phys.Rev. D71 (2005) 085019

10.1103/PhysRevD.71.085019

null

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

null

The precise quark mass dependence of the one-loop effective action in an instanton background has recently been computed [arXiv:hep-th/0410190]. The result interpolates smoothly between the previously known extreme small and large mass limits. The computational method makes use of the fact that the single instanton background has radial symmetry, so that the computation can be reduced to a sum over partial waves of logarithms of radial determinants, each of which can be computed numerically in an efficient manner. The bare sum over partial waves is divergent and must be regulated and renormalized. In this paper we provide more details of this computation, including both the renormalization procedure and the numerical approach. We conclude with comparisons of our precise numerical results with a simple interpolating function that connects the small and large mass limits, and with the leading order of the derivative expansion.

[ { "created": "Tue, 8 Feb 2005 21:52:35 GMT", "version": "v1" } ]

2009-11-11

[ [ "Dunne", "Gerald V.", "" ], [ "Hur", "Jin", "" ], [ "Lee", "Choonkyu", "" ], [ "Min", "Hyunsoo", "" ] ]

The precise quark mass dependence of the one-loop effective action in an instanton background has recently been computed [arXiv:hep-th/0410190]. The result interpolates smoothly between the previously known extreme small and large mass limits. The computational method makes use of the fact that the single instanton background has radial symmetry, so that the computation can be reduced to a sum over partial waves of logarithms of radial determinants, each of which can be computed numerically in an efficient manner. The bare sum over partial waves is divergent and must be regulated and renormalized. In this paper we provide more details of this computation, including both the renormalization procedure and the numerical approach. We conclude with comparisons of our precise numerical results with a simple interpolating function that connects the small and large mass limits, and with the leading order of the derivative expansion.

8.456004

8.187391

8.670303

8.273121

8.672513

8.010592

8.130489

7.877433

7.595187

9.310167

8.092318

8.037542

8.260671

8.368623

8.115844

8.155682

7.981607

8.057048

8.345784

8.495454

8.119963

1812.08187

Mario Herrero-Valea

Kevin Falls and Mario Herrero-Valea

Frame (In)equivalence in Quantum Field Theory and Cosmology

33 pages, minor corrections

null

10.1140/epjc/s10052-019-7070-3

null

hep-th gr-qc

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

We revisit the question of frame equivalence in Quantum Field Theory in the presence of gravity, a situation of relevance for theories aiming to describe the early Universe dynamics and Inflation in particular. We show that in those cases, the path integral measure must be carefully defined and that the requirement of diffeomorphism invariance forces it to depend non-trivially on the fields. As a consequence, the measure will transform also non-trivially between different frames and it will induce a new finite contribution to the Quantum Effective Action that we name frame discriminant. This new contribution must be taken into account in order to asses the dynamics and physical consequences of a given theory. We apply our result to scalar-tensor theories described in the Einstein and Jordan frame, where we find that the frame discriminant can be thought as inducing a scale-invariant regularization scheme in the Jordan frame.

[ { "created": "Wed, 19 Dec 2018 19:00:15 GMT", "version": "v1" }, { "created": "Mon, 25 Feb 2019 16:35:07 GMT", "version": "v2" } ]

2019-09-04

[ [ "Falls", "Kevin", "" ], [ "Herrero-Valea", "Mario", "" ] ]

We revisit the question of frame equivalence in Quantum Field Theory in the presence of gravity, a situation of relevance for theories aiming to describe the early Universe dynamics and Inflation in particular. We show that in those cases, the path integral measure must be carefully defined and that the requirement of diffeomorphism invariance forces it to depend non-trivially on the fields. As a consequence, the measure will transform also non-trivially between different frames and it will induce a new finite contribution to the Quantum Effective Action that we name frame discriminant. This new contribution must be taken into account in order to asses the dynamics and physical consequences of a given theory. We apply our result to scalar-tensor theories described in the Einstein and Jordan frame, where we find that the frame discriminant can be thought as inducing a scale-invariant regularization scheme in the Jordan frame.

8.66821

9.324068

9.460956

8.5443

8.819635

8.458363

8.780885

8.627877

8.652711

9.730328

8.720231

8.676573

8.660187

8.638754

8.536626

8.810803

8.661546

8.842264

8.52522

8.750428

8.536793

hep-th/9912052

Bernard Knaepen

Marc Henneaux and Bernard Knaepen

A Theorem on First-Order Interaction Vertices for Free p-Form Gauge Fields

18 pages, no figures, misquotes in references corrected

Int.J.Mod.Phys. A15 (2000) 3535-3548

10.1142/S0217751X00001336

ULB-TH-99/30, DAMTP-1999-172

hep-th

null

The complete proof of a theorem announced in [1] on the consistent interactions for (non-chiral) exterior form gauge fields is given. The theorem can be easily generalized to the analysis of anomalies. Its proof amounts to computing the local BRST cohomology H^0(s|d) in the space of local n-forms depending on the fields, the ghosts, the antifields and their derivatives.

[ { "created": "Tue, 7 Dec 1999 12:38:08 GMT", "version": "v1" }, { "created": "Wed, 8 Dec 1999 12:11:09 GMT", "version": "v2" } ]

2016-12-28

[ [ "Henneaux", "Marc", "" ], [ "Knaepen", "Bernard", "" ] ]

The complete proof of a theorem announced in [1] on the consistent interactions for (non-chiral) exterior form gauge fields is given. The theorem can be easily generalized to the analysis of anomalies. Its proof amounts to computing the local BRST cohomology H^0(s|d) in the space of local n-forms depending on the fields, the ghosts, the antifields and their derivatives.

15.047462

9.020025

15.838358

11.405502

11.993513

10.154564

11.054186

10.782907

10.454174

21.286615

10.155148

10.984344

12.700795

12.001011

11.531424

11.572635

11.148715

11.228805

11.134997

12.552629

11.909881

1111.0600

Mikhail Plyushchay

Adrian Arancibia and Mikhail S. Plyushchay

Extended supersymmetry of the self-isospectral crystalline and soliton chains

22 pages, 4 figures. Published version

Phys. Rev. D 85, 045018 (2012)

10.1103/PhysRevD.85.045018

null

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

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

We study supersymmetric structure of the self-isospectral crystalline chains formed by N copies of the mutually displaced one-gap Lame systems. It is generated by the N(N-1) integrals of motion which are the first order matrix differential operators, by the same number of the nontrivial second order integrals, and by the N third order Lax integrals. We show that the structure admits distinct alternatives for a grading operator, and in dependence on its choice one of the third order matrix integrals plays either the role of the bosonic central charge or the role of the fermionic supercharge to be a square root of the spectral polynomial. Yet another peculiarity is that the set of all the second order integrals of motion generates a nonlinear sub-superalgebra. We also investigate the associated self-isospectral soliton chains, and discuss possible physical applications of the unusual extended supersymmetry.

[ { "created": "Wed, 2 Nov 2011 18:40:13 GMT", "version": "v1" }, { "created": "Sun, 6 Nov 2011 22:49:26 GMT", "version": "v2" }, { "created": "Fri, 20 Jan 2012 01:48:34 GMT", "version": "v3" }, { "created": "Fri, 2 Mar 2012 00:21:22 GMT", "version": "v4" } ]

2012-03-05

[ [ "Arancibia", "Adrian", "" ], [ "Plyushchay", "Mikhail S.", "" ] ]

We study supersymmetric structure of the self-isospectral crystalline chains formed by N copies of the mutually displaced one-gap Lame systems. It is generated by the N(N-1) integrals of motion which are the first order matrix differential operators, by the same number of the nontrivial second order integrals, and by the N third order Lax integrals. We show that the structure admits distinct alternatives for a grading operator, and in dependence on its choice one of the third order matrix integrals plays either the role of the bosonic central charge or the role of the fermionic supercharge to be a square root of the spectral polynomial. Yet another peculiarity is that the set of all the second order integrals of motion generates a nonlinear sub-superalgebra. We also investigate the associated self-isospectral soliton chains, and discuss possible physical applications of the unusual extended supersymmetry.

13.120943

14.021426

15.701096

12.588765

12.970177

13.446401

15.198905

12.751763

12.964973

16.853073

12.673092

13.01102

13.568406

12.922099

13.108374

12.541118

13.139491

12.752389

12.894761

13.373324

12.739693

hep-th/9612055

Guy Bonneau

Einstein-Weyl structures corresponding to diagonal K\"ahler Bianchi IX metrics

15 pages, Latex file, minor modifications, to be published in Class. Quant. Grav

Class.Quant.Grav. 14 (1997) 2123-2135

10.1088/0264-9381/14/8/012

PAR/LPTHE/96-52

hep-th gr-qc

null

We analyse in a systematic way the four dimensionnal Einstein-Weyl spaces equipped with a diagonal K\"ahler Bianchi IX metric. In particular, we show that the subclass of Einstein-Weyl structures with a constant conformal scalar curvature is the one with a conformally scalar flat - but not necessarily scalar flat - metric ; we exhibit its 3-parameter distance and Weyl one-form. This extends previous analysis of Pedersen, Swann and Madsen , limited to the scalar flat, antiself-dual case. We also check that, in agreement with a theorem of Derdzinski, the most general conformally Einstein metric in the family of biaxial K\"ahler Bianchi IX metrics is an extremal metric of Calabi, conformal to Carter's metric, thanks to Chave and Valent's results.

[ { "created": "Thu, 5 Dec 1996 13:20:40 GMT", "version": "v1" }, { "created": "Fri, 13 Jun 1997 11:55:25 GMT", "version": "v2" } ]

2009-10-30

[ [ "Bonneau", "Guy", "" ] ]

We analyse in a systematic way the four dimensionnal Einstein-Weyl spaces equipped with a diagonal K\"ahler Bianchi IX metric. In particular, we show that the subclass of Einstein-Weyl structures with a constant conformal scalar curvature is the one with a conformally scalar flat - but not necessarily scalar flat - metric ; we exhibit its 3-parameter distance and Weyl one-form. This extends previous analysis of Pedersen, Swann and Madsen , limited to the scalar flat, antiself-dual case. We also check that, in agreement with a theorem of Derdzinski, the most general conformally Einstein metric in the family of biaxial K\"ahler Bianchi IX metrics is an extremal metric of Calabi, conformal to Carter's metric, thanks to Chave and Valent's results.

15.310626

17.594318

16.01169

14.820644

16.520254

15.749314

17.420937

14.227917

17.082645

17.902277

15.336214

15.205168

14.751752

13.963246

14.303362

14.5006

14.634274

14.461886

15.188331

14.841178

13.869045

1301.5902

Masahito Yamazaki

Yuji Terashima, Masahito Yamazaki

3d N=2 Theories from Cluster Algebras

43 pages, 29 figures; v2: restructured and typos corrected

Prog.Theor.Exp.Phys.023:B01,2014

10.1093/ptep/PTT115

PUTP-2437

hep-th math.GT math.QA

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

We propose a new description of 3d $\mathcal{N}=2$ theories which do not admit conventional Lagrangians. Given a quiver $Q$ and a mutation sequence $m$ on it, we define a 3d $\mathcal{N}=2$ theory $\mathcal{T}[(Q,m)]$ in such a way that the $S^3_b$ partition function of the theory coincides with the cluster partition function defined from the pair $(Q, m)$. Our formalism includes the case where 3d $\mathcal{N}=2$ theories arise from the compactification of the 6d $(2,0)$ $A_{N-1}$ theory on a large class of 3-manifolds $M$, including complements of arbitrary links in $S^3$. In this case the quiver is defined from a 2d ideal triangulation, the mutation sequence represents an element of the mapping class group, and the 3-manifold is equipped with a canonical ideal triangulation. Our partition function then coincides with that of the holomorphic part of the $SL(N)$ Chern-Simons partition function on $M$.

[ { "created": "Thu, 24 Jan 2013 21:00:00 GMT", "version": "v1" }, { "created": "Mon, 27 Jan 2014 06:04:27 GMT", "version": "v2" } ]

2014-02-04

[ [ "Terashima", "Yuji", "" ], [ "Yamazaki", "Masahito", "" ] ]

We propose a new description of 3d $\mathcal{N}=2$ theories which do not admit conventional Lagrangians. Given a quiver $Q$ and a mutation sequence $m$ on it, we define a 3d $\mathcal{N}=2$ theory $\mathcal{T}[(Q,m)]$ in such a way that the $S^3_b$ partition function of the theory coincides with the cluster partition function defined from the pair $(Q, m)$. Our formalism includes the case where 3d $\mathcal{N}=2$ theories arise from the compactification of the 6d $(2,0)$ $A_{N-1}$ theory on a large class of 3-manifolds $M$, including complements of arbitrary links in $S^3$. In this case the quiver is defined from a 2d ideal triangulation, the mutation sequence represents an element of the mapping class group, and the 3-manifold is equipped with a canonical ideal triangulation. Our partition function then coincides with that of the holomorphic part of the $SL(N)$ Chern-Simons partition function on $M$.

4.52691

4.736302

5.144269

4.290676

4.846622

4.451425

4.867533

4.381221

4.429991

5.198434

4.206639

4.324903

4.500141

4.331694

4.36195

4.280342

4.39571

4.511755

4.302391

4.633035

4.312263

hep-th/0505123

Joan Simon

Vijay Balasubramanian, Vishnu Jejjala and Joan Sim\'on

The Library of Babel

7 pages, 1 figure, Essay receiving honorable mention in the 2005 Gravity Research Foundation essay competition

Int.J.Mod.Phys. D14 (2005) 2181-2186

10.1142/S0218271805007826

DCTP-05/21, UPR-1124-T

hep-th

null

We show that heavy pure states of gravity can appear to be mixed states to almost all probes. Our arguments are made for $\rm{AdS}_5$ Schwarzschild black holes using the field theory dual to string theory in such spacetimes. Our results follow from applying information theoretic notions to field theory operators capable of describing very heavy states in gravity. For certain supersymmetric states of the theory, our account is exact: the microstates are described in gravity by a spacetime ``foam'', the precise details of which are invisible to almost all probes.

[ { "created": "Mon, 16 May 2005 12:42:05 GMT", "version": "v1" } ]

2015-06-26

[ [ "Balasubramanian", "Vijay", "" ], [ "Jejjala", "Vishnu", "" ], [ "Simón", "Joan", "" ] ]

We show that heavy pure states of gravity can appear to be mixed states to almost all probes. Our arguments are made for $\rm{AdS}_5$ Schwarzschild black holes using the field theory dual to string theory in such spacetimes. Our results follow from applying information theoretic notions to field theory operators capable of describing very heavy states in gravity. For certain supersymmetric states of the theory, our account is exact: the microstates are described in gravity by a spacetime ``foam'', the precise details of which are invisible to almost all probes.

18.475201

14.838443

19.219603

15.345293

13.878381

15.31845

13.766006

14.774808

14.891113

22.383745

14.979455

15.732629

17.679003

16.49407

16.849878

16.953074

16.339933

16.228537

16.53882

17.648369

16.978548

hep-th/0511295

Marco Bertola

M. Bertola

Two-matrix model with semiclassical potentials and extended Whitham hierarchy

32 pages, one figure

J.Phys.A39:8823-8856,2006

10.1088/0305-4470/39/28/S05

null

hep-th

null

We consider the two-matrix model with potentials whose derivative are arbitrary rational function of fixed pole structure and the support of the spectra of the matrices are union of intervals (hard-edges). We derive an explicit formula for the planar limit of the free energy and we derive a calculus which allows to compute derivatives of arbitrarily high order by extending classical Rauch's variational formulae. The four-points correlation functions are explicitly worked out. The formalism extends naturally to the computation of residue formulae for the tau function of the so-called universal Whitham hierarchy studied mainly by I. Krichever: our setting extends that moduli space in that there are certain extra data.

[ { "created": "Tue, 29 Nov 2005 18:28:08 GMT", "version": "v1" } ]

2009-11-11

[ [ "Bertola", "M.", "" ] ]

We consider the two-matrix model with potentials whose derivative are arbitrary rational function of fixed pole structure and the support of the spectra of the matrices are union of intervals (hard-edges). We derive an explicit formula for the planar limit of the free energy and we derive a calculus which allows to compute derivatives of arbitrarily high order by extending classical Rauch's variational formulae. The four-points correlation functions are explicitly worked out. The formalism extends naturally to the computation of residue formulae for the tau function of the so-called universal Whitham hierarchy studied mainly by I. Krichever: our setting extends that moduli space in that there are certain extra data.

21.877522

25.66118

29.895292

21.707109

23.019432

22.707275

24.668121

22.960619

22.928234

29.654606

21.261341

22.879152

24.839142

22.005026

21.743402

22.201426

21.878796

21.832481

22.722467

23.336946

21.005579

1309.7403

Everton Murilo Carvalho Abreu

Everton M. C. Abreu, Jorge Ananias Neto and Cresus F. L. Godinho

Nonextensive statistics, entropic gravity and gravitational force in a non-integer dimensional space

13 pages. Revised version, figures added and new title

null

10.1016/j.physa.2014.06.018

null

hep-th nlin.CD

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

Based on the connection between Tsallis nonextensive statistics and fractional dimensional space, in this work we have introduced, with the aid of Verlinde's formalism, the Newton constant in a fractal space as a function of the nonextensive constant. With this result we have constructed a curve that shows the direct relation between Tsallis nonextensive parameter and the dimension of this fractal space. We have demonstrated precisely that there are ambiguities between the results due to Verlinde's approach and the ones due to fractional calculus formalism. We have shown precisely that these ambiguities appear only for spaces with dimensions different from three. Hence, we believe that this is a result in favor of our three dimensional world.

[ { "created": "Sat, 28 Sep 2013 01:38:15 GMT", "version": "v1" }, { "created": "Wed, 27 Nov 2013 18:18:00 GMT", "version": "v2" } ]

2015-06-17

[ [ "Abreu", "Everton M. C.", "" ], [ "Neto", "Jorge Ananias", "" ], [ "Godinho", "Cresus F. L.", "" ] ]

Based on the connection between Tsallis nonextensive statistics and fractional dimensional space, in this work we have introduced, with the aid of Verlinde's formalism, the Newton constant in a fractal space as a function of the nonextensive constant. With this result we have constructed a curve that shows the direct relation between Tsallis nonextensive parameter and the dimension of this fractal space. We have demonstrated precisely that there are ambiguities between the results due to Verlinde's approach and the ones due to fractional calculus formalism. We have shown precisely that these ambiguities appear only for spaces with dimensions different from three. Hence, we believe that this is a result in favor of our three dimensional world.

11.056205

10.502051

10.585619

9.908993

10.4648

9.469815

11.488926

9.997931

9.207527

10.388951

9.617296

9.860311

10.04524

9.909995

10.173646

9.993191

10.015657

10.116572

10.230219

9.871611

10.009065

hep-th/9312126

Marc de Montigny

F.J. Herranz, M. de Montigny, M.A. del Olmo and M. Santander

Cayley-Klein Algebras as Graded Contractions of so(N+1)

13 pages, Preprint UVA, AMS-TeX

J. Phys. A: Math. Gen. 27 (1994) 2515-2526

10.1088/0305-4470/27/7/027

null

hep-th

null

We study $\Bbb Z_2^{\otimes N}$ graded contractions of the real compact simple Lie algebra $so(N+1)$, and we identify within them the Cayley-Klein algebras as a naturally distinguished subset.

[ { "created": "Tue, 14 Dec 1993 21:14:08 GMT", "version": "v1" } ]

2019-07-19

[ [ "Herranz", "F. J.", "" ], [ "de Montigny", "M.", "" ], [ "del Olmo", "M. A.", "" ], [ "Santander", "M.", "" ] ]

We study $\Bbb Z_2^{\otimes N}$ graded contractions of the real compact simple Lie algebra $so(N+1)$, and we identify within them the Cayley-Klein algebras as a naturally distinguished subset.

16.498724

12.597718

18.711939

15.122428

15.431254

14.001787

18.182299

12.824572

15.098413

19.520313

13.237877

14.210369

15.350636

15.331016

14.50201

14.067538

15.152967

13.092918

14.711814

16.079052

13.986153

hep-th/0409141

Hiroyuki Abe

Fayet-Iliopoulos terms in five-dimensional orbifold supergravity

4 pages, no figures; Talk presented at the 12th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY'04), June 17-23, 2004, Tsukuba, Japan; conclusion changed for the warped case

null

KAIST-TH 2004/14

hep-th hep-ph

null

We derive an off-shell formulation for the boundary Fayet-Iliopoulos (FI) terms in locally supersymmetric U(1) gauge theory on 5D $S^1/Z_2$ orbifold. Some physical consequences of such FI terms, e.g., the supersymmetry breaking and the generation of 5D kink mass for hypermultiplet are studied within the full supergravity framework. We especially find that the supersymmetry is broken by the FI term without charged hypermultiplet for models giving an AdS$_5$ geometry.

[ { "created": "Tue, 14 Sep 2004 10:35:45 GMT", "version": "v1" }, { "created": "Tue, 11 Oct 2005 07:12:14 GMT", "version": "v2" } ]

2007-05-23

[ [ "Abe", "Hiroyuki", "" ] ]

We derive an off-shell formulation for the boundary Fayet-Iliopoulos (FI) terms in locally supersymmetric U(1) gauge theory on 5D $S^1/Z_2$ orbifold. Some physical consequences of such FI terms, e.g., the supersymmetry breaking and the generation of 5D kink mass for hypermultiplet are studied within the full supergravity framework. We especially find that the supersymmetry is broken by the FI term without charged hypermultiplet for models giving an AdS$_5$ geometry.

10.022181

7.64603

9.976251

8.453287

7.693942

8.230647

8.143108

8.946165

8.193541

9.77782

8.030277

8.86392

9.332977

8.953043

8.721647

8.835433

8.954272

8.690285

8.798839

9.5137

8.66372

hep-th/9703048

Moreno

J.C. Le Guillou, E. Moreno, C. Nu\~nez and F.A. Schaposnik

On three dimensional bosonization

15 pages, LaTex

Phys.Lett. B409 (1997) 257-264

10.1016/S0370-2693(97)00857-5

null

hep-th

null

We discuss Abelian and non-Abelian three dimensional bosonization within the path-integral framework. We present a systematic approach leading to the construction of the bosonic action which, together with the bosonization recipe for fermion currents, describes the original fermion system in terms of vector bosons.

[ { "created": "Thu, 6 Mar 1997 19:36:56 GMT", "version": "v1" } ]

2009-10-30

[ [ "Guillou", "J. C. Le", "" ], [ "Moreno", "E.", "" ], [ "Nuñez", "C.", "" ], [ "Schaposnik", "F. A.", "" ] ]

We discuss Abelian and non-Abelian three dimensional bosonization within the path-integral framework. We present a systematic approach leading to the construction of the bosonic action which, together with the bosonization recipe for fermion currents, describes the original fermion system in terms of vector bosons.

9.041043

7.345166

8.728896

7.076791

7.633974

7.053568

6.901407

6.918218

7.004848

8.420216

6.967772

8.026792

8.679339

7.850443

7.617453

7.581513

7.830792

7.70886

7.882406

8.282673

7.95488

0907.4152

Don N. Page

Born Again

4 pages, LaTeX

null

Alberta-Thy-11-09

hep-th quant-ph

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

A simple proof is given that the probabilities of observations in a large universe are not given directly by Born's rule as the expectation values of projection operators in a global quantum state of the entire universe. An alternative procedure is proposed for constructing an averaged density matrix for a random small region of the universe and then calculating observational probabilities indirectly by Born's rule as conditional probabilities, conditioned upon the existence of an observation.

[ { "created": "Thu, 23 Jul 2009 20:00:04 GMT", "version": "v1" } ]

2009-07-27

[ [ "Page", "Don N.", "" ] ]

A simple proof is given that the probabilities of observations in a large universe are not given directly by Born's rule as the expectation values of projection operators in a global quantum state of the entire universe. An alternative procedure is proposed for constructing an averaged density matrix for a random small region of the universe and then calculating observational probabilities indirectly by Born's rule as conditional probabilities, conditioned upon the existence of an observation.

15.529328

13.235131

13.839434

12.274302

11.110616

12.551926

12.005993

11.357797

12.294734

16.464195

12.536547

13.014867

13.459405

12.81115

12.254731

13.364072

12.85284

12.437929

12.915917

13.09192

13.922232

1512.00013

Matthijs Hogervorst

Matthijs Hogervorst, Slava Rychkov, Balt C. van Rees

Unitarity violation at the Wilson-Fisher fixed point in 4-epsilon dimensions

31 pages, 2 figures; v2: references added, version to appear in Phys. Rev. D

Phys. Rev. D 93, 125025 (2016)

10.1103/PhysRevD.93.125025

CERN TH/2015-282, YITP-SB-15-44, DCPT-15/65

hep-th cond-mat.stat-mech

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

We consider the continuation of free and interacting scalar field theory to non-integer spacetime dimension d. We find that the correlation functions in these theories are necessarily incompatible with unitarity (or with reflection positivity in Euclidean signature). In particular, the theories contain negative norm states unless d is a positive integer. These negative norm states can be obtained via the OPE from simple positive norm operators, and are therefore an integral part of the theory. At the Wilson-Fisher fixed point the non-unitarity leads to the existence of complex anomalous dimensions. We demonstrate that they appear already at leading order in the epsilon expansion.

[ { "created": "Mon, 30 Nov 2015 21:00:02 GMT", "version": "v1" }, { "created": "Wed, 1 Jun 2016 12:39:48 GMT", "version": "v2" } ]

2016-06-29

[ [ "Hogervorst", "Matthijs", "" ], [ "Rychkov", "Slava", "" ], [ "van Rees", "Balt C.", "" ] ]

We consider the continuation of free and interacting scalar field theory to non-integer spacetime dimension d. We find that the correlation functions in these theories are necessarily incompatible with unitarity (or with reflection positivity in Euclidean signature). In particular, the theories contain negative norm states unless d is a positive integer. These negative norm states can be obtained via the OPE from simple positive norm operators, and are therefore an integral part of the theory. At the Wilson-Fisher fixed point the non-unitarity leads to the existence of complex anomalous dimensions. We demonstrate that they appear already at leading order in the epsilon expansion.

8.263585

8.023911

9.069583

7.358923

7.296792

8.145174

7.676586

7.362075

7.616307

8.726953

7.200755

7.418422

8.300639

7.493657

7.329839

7.344062

7.242433

7.511555

7.595417

8.516022

7.409002

2208.05519

Guanda Lin

Gang Chen, Guanda Lin, Congkao Wen

Kinematic Hopf algebra for amplitudes and form factors

5 pages+appendices

null

10.1103/PhysRevD.107.L081701

QMUL-PH-22-22

hep-th

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

We propose a kinematic algebra for the Bern-Carrasco-Johansson (BCJ) numerators of tree-level amplitudes and form factors in Yang-Mills theory coupled with bi-adjoint scalars. The algebraic generators of the algebra contain two parts: the first part is simply the flavour factor of the bi-adjoint scalars, and the second part that maps to non-trivial kinematic structures of the BCJ numerators obeys extended quasi-shuffle fusion products. The underlying kinematic algebra allows us to present closed forms for the BCJ numerators with any number of gluons and two or more scalars for both on-shell amplitudes and form factors that involve an off-shell operator. The BCJ numerators constructed in this way are manifestly gauge invariant and obey many novel relations that are inherited from the kinematic algebra.

[ { "created": "Wed, 10 Aug 2022 18:29:09 GMT", "version": "v1" }, { "created": "Sun, 23 Apr 2023 00:18:26 GMT", "version": "v2" } ]

2023-04-25

[ [ "Chen", "Gang", "" ], [ "Lin", "Guanda", "" ], [ "Wen", "Congkao", "" ] ]

We propose a kinematic algebra for the Bern-Carrasco-Johansson (BCJ) numerators of tree-level amplitudes and form factors in Yang-Mills theory coupled with bi-adjoint scalars. The algebraic generators of the algebra contain two parts: the first part is simply the flavour factor of the bi-adjoint scalars, and the second part that maps to non-trivial kinematic structures of the BCJ numerators obeys extended quasi-shuffle fusion products. The underlying kinematic algebra allows us to present closed forms for the BCJ numerators with any number of gluons and two or more scalars for both on-shell amplitudes and form factors that involve an off-shell operator. The BCJ numerators constructed in this way are manifestly gauge invariant and obey many novel relations that are inherited from the kinematic algebra.

7.927213

7.431837

9.104231

7.319153

7.447581

7.633855

7.363645

7.262441

7.721004

9.349296

7.437611

7.703494

7.634966

7.290686

7.459231

7.738807

7.410214

7.481026

7.309982

8.044032

7.084867

1202.6306

Harold Steinacker

Gravity and compactified branes in matrix models

35 pages. V2: substantially revised and improved, conclusion weakened. V3: some clarifications, published version. V4: minor correction

null

10.1007/JHEP07(2012)156

TUW-12-05; CCNY-HEP-12/4

hep-th gr-qc

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

A mechanism for emergent gravity on brane solutions in Yang-Mills matrix models is exhibited. Newtonian gravity and a partial relation between the Einstein tensor and the energy-momentum tensor can arise from the basic matrix model action, without invoking an Einstein-Hilbert-type term. The key requirements are compactified extra dimensions with extrinsic curvature M^4 x K \subset R^D and split noncommutativity, with a Poisson tensor \theta^{ab} linking the compact with the noncompact directions. The moduli of the compactification provide the dominant degrees of freedom for gravity, which are transmitted to the 4 noncompact directions via the Poisson tensor. The effective Newton constant is determined by the scale of noncommutativity and the compactification. This gravity theory is well suited for quantization, and argued to be perturbatively finite for the IKKT model. Since no compactification of the target space is needed, it might provide a way to avoid the landscape problem in string theory.

[ { "created": "Tue, 28 Feb 2012 17:53:20 GMT", "version": "v1" }, { "created": "Mon, 30 Apr 2012 21:03:27 GMT", "version": "v2" }, { "created": "Fri, 29 Jun 2012 17:56:05 GMT", "version": "v3" }, { "created": "Fri, 7 Jun 2013 17:46:36 GMT", "version": "v4" } ]

2014-09-11

[ [ "Steinacker", "Harold", "" ] ]

A mechanism for emergent gravity on brane solutions in Yang-Mills matrix models is exhibited. Newtonian gravity and a partial relation between the Einstein tensor and the energy-momentum tensor can arise from the basic matrix model action, without invoking an Einstein-Hilbert-type term. The key requirements are compactified extra dimensions with extrinsic curvature M^4 x K \subset R^D and split noncommutativity, with a Poisson tensor \theta^{ab} linking the compact with the noncompact directions. The moduli of the compactification provide the dominant degrees of freedom for gravity, which are transmitted to the 4 noncompact directions via the Poisson tensor. The effective Newton constant is determined by the scale of noncommutativity and the compactification. This gravity theory is well suited for quantization, and argued to be perturbatively finite for the IKKT model. Since no compactification of the target space is needed, it might provide a way to avoid the landscape problem in string theory.

11.912971

11.213711

12.869398

10.7324

10.690714

11.245916

11.333214

10.946943

10.878654

13.448585

10.977613

11.271638

11.537251

11.427356

11.254333

11.102047

11.36296

11.205425

10.984114

11.72097

11.241979

2312.02261

Tobias Hansen

Luis F. Alday, Tobias Hansen, Maria Nocchi

High Energy String Scattering in AdS

18 pages, v2: JHEP version

JHEP 02 (2024) 089

10.1007/JHEP02(2024)089

null

hep-th

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

We study the AdS Virasoro-Shapiro amplitude in the limit of fixed-angle high energy scattering. A recent representation as a world-sheet integral allows to compute the amplitude in this regime by saddle point techniques, very much as in flat space. This result is then compared to a classical scattering computation in AdS and agreement is found. As a byproduct of this comparison we show that AdS curvature corrections exponentiate in the high energy limit.

[ { "created": "Mon, 4 Dec 2023 19:00:00 GMT", "version": "v1" }, { "created": "Thu, 15 Feb 2024 12:25:39 GMT", "version": "v2" } ]

2024-02-16

[ [ "Alday", "Luis F.", "" ], [ "Hansen", "Tobias", "" ], [ "Nocchi", "Maria", "" ] ]

We study the AdS Virasoro-Shapiro amplitude in the limit of fixed-angle high energy scattering. A recent representation as a world-sheet integral allows to compute the amplitude in this regime by saddle point techniques, very much as in flat space. This result is then compared to a classical scattering computation in AdS and agreement is found. As a byproduct of this comparison we show that AdS curvature corrections exponentiate in the high energy limit.

10.260729

8.850389

10.479928

8.372862

9.489426

8.932167

8.787684

8.2695

8.74006

11.253969

8.332479

9.429322

10.29349

9.776851

9.784511

10.097892

9.813887

9.687418

9.324041

9.782675

9.174248

2002.02448

Suvrat Raju

Alok Laddha, Siddharth G. Prabhu, Suvrat Raju and Pushkal Shrivastava

The Holographic Nature of Null Infinity

44 pages (v2) refs added. typos fixed

SciPost Phys. 10, 041 (2021)

10.21468/SciPostPhys.10.2.041

null

hep-th gr-qc

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

We argue that, in a theory of quantum gravity in a four dimensional asymptotically flat spacetime, all information about massless excitations can be obtained from an infinitesimal neighbourhood of the past boundary of future null infinity and does not require observations over all of future null infinity. Moreover, all information about the state that can be obtained through observations near a cut of future null infinity can also be obtained from observations near any earlier cut although the converse is not true. We provide independent arguments for these two assertions. Similar statements hold for past null infinity. These statements have immediate implications for the information paradox since they suggest that the fine-grained von Neumann entropy of the state defined on a segment $(-\infty,u)$ of future null infinity is independent of u. This is very different from the oft-discussed Page curve that this entropy is sometimes expected to obey. We contrast our results with recent discussions of the Page curve in the context of black hole evaporation, and also discuss the relation of our results to other proposals for holography in flat space.

[ { "created": "Thu, 6 Feb 2020 18:59:31 GMT", "version": "v1" }, { "created": "Mon, 5 Oct 2020 14:29:28 GMT", "version": "v2" } ]

2021-02-24

[ [ "Laddha", "Alok", "" ], [ "Prabhu", "Siddharth G.", "" ], [ "Raju", "Suvrat", "" ], [ "Shrivastava", "Pushkal", "" ] ]

We argue that, in a theory of quantum gravity in a four dimensional asymptotically flat spacetime, all information about massless excitations can be obtained from an infinitesimal neighbourhood of the past boundary of future null infinity and does not require observations over all of future null infinity. Moreover, all information about the state that can be obtained through observations near a cut of future null infinity can also be obtained from observations near any earlier cut although the converse is not true. We provide independent arguments for these two assertions. Similar statements hold for past null infinity. These statements have immediate implications for the information paradox since they suggest that the fine-grained von Neumann entropy of the state defined on a segment $(-\infty,u)$ of future null infinity is independent of u. This is very different from the oft-discussed Page curve that this entropy is sometimes expected to obey. We contrast our results with recent discussions of the Page curve in the context of black hole evaporation, and also discuss the relation of our results to other proposals for holography in flat space.

7.876682

8.105968

8.615516

7.605865

8.175682

8.580472

7.689546

7.775837

7.636176

8.450774

7.603001

7.217921

7.809132

7.352953

7.528421

7.345921

7.274246

7.489454

7.313289

7.56339

7.394349

2004.00921

Subhash Chandra Mahapatra

Subhash Mahapatra, Supragyan Priyadarshinee, Gosala Narasimha Reddy, Bhaskar Shukla

Exact topological charged hairy black holes in AdS Space in $D$-dimensions

26 pages, many figures, comments are welcome

Phys. Rev. D 102, 024042 (2020)

10.1103/PhysRevD.102.024042

null

hep-th gr-qc

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

We present a new family of topological charged hairy black hole solutions in asymptotically AdS space in $D$-dimensions. We solve the coupled Einstein-Maxwell-Scalar gravity system and obtain exact charged hairy black hole solutions with planar, spherical and hyperbolic horizon topologies. The scalar field is regular everywhere. We discuss the thermodynamics of the hairy black hole and find drastic changes in its thermodynamic structure due to the scalar field. For the case of planar and spherical horizons, we find charged hairy/RN-AdS black hole phase transition, with thermodynamically preferred and stable charged hairy phases at low temperature. For the case of hyperbolic horizon, no such transition occurs and RN-AdS black holes are always thermodynamically favoured.

[ { "created": "Thu, 2 Apr 2020 10:19:06 GMT", "version": "v1" } ]

2020-07-22

[ [ "Mahapatra", "Subhash", "" ], [ "Priyadarshinee", "Supragyan", "" ], [ "Reddy", "Gosala Narasimha", "" ], [ "Shukla", "Bhaskar", "" ] ]

We present a new family of topological charged hairy black hole solutions in asymptotically AdS space in $D$-dimensions. We solve the coupled Einstein-Maxwell-Scalar gravity system and obtain exact charged hairy black hole solutions with planar, spherical and hyperbolic horizon topologies. The scalar field is regular everywhere. We discuss the thermodynamics of the hairy black hole and find drastic changes in its thermodynamic structure due to the scalar field. For the case of planar and spherical horizons, we find charged hairy/RN-AdS black hole phase transition, with thermodynamically preferred and stable charged hairy phases at low temperature. For the case of hyperbolic horizon, no such transition occurs and RN-AdS black holes are always thermodynamically favoured.

5.725216

4.898333

5.073034

4.897612

5.143709

4.995528

5.36667

4.906407

5.268871

5.867542

5.187596

5.212832

5.356928

5.19439

5.294295

5.299835

5.238448

5.216357

5.316423

5.181966

5.243009

1910.09530

Dionisio Bazeia

D. Bazeia, D.A. Ferreira

New results on asymmetric thick branes

11 pages, 7 figures

Annals of Physics 411, 167975 (2019)

10.1016/j.aop.2019.167975

null

hep-th

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

This work deals with the presence and stability of thick brane solutions in the warped five dimensional braneworld scenario with a single extra spatial dimension of infinite extent. We combine two distinct procedures that give rise to new possibilities, allowing that we describe models of asymmetric thick branes, with the asymmetry being controlled by a single real parameter. We illustrate the main results with some distinct models, which show that the method works for both standard and generalized models, and the solutions are gravitationally stable against small perturbations of the metric.

[ { "created": "Mon, 21 Oct 2019 17:51:57 GMT", "version": "v1" } ]

2019-10-22

[ [ "Bazeia", "D.", "" ], [ "Ferreira", "D. A.", "" ] ]

This work deals with the presence and stability of thick brane solutions in the warped five dimensional braneworld scenario with a single extra spatial dimension of infinite extent. We combine two distinct procedures that give rise to new possibilities, allowing that we describe models of asymmetric thick branes, with the asymmetry being controlled by a single real parameter. We illustrate the main results with some distinct models, which show that the method works for both standard and generalized models, and the solutions are gravitationally stable against small perturbations of the metric.

14.5248

9.566277

13.074574

11.368607

11.320384

11.719663

11.250884

9.767207

10.453331

14.069473

11.75532

11.865075

13.592275

12.48471

12.843354

12.45253

12.110518

11.652674

12.326558

13.146045

12.813716

hep-th/0608128

Diego Hernan Correa

Diego H. Correa, Guillermo A. Silva

Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons

28 pages

JHEP0611:059,2006

10.1088/1126-6708/2006/11/059

CECS-PHY-06/20

hep-th

null

We study the one-loop anomalous dimensions of the Super Yang-Mills dual operators to open strings ending on AdS giant gravitons. AdS giant gravitons have no upper bound for their angular momentum and we represent them by the contraction of scalar fields, carrying the appropriate R-charge, with a totally symmetric tensor. We represent the open string motion along AdS directions by appending to the giant graviton operator a product of fields including covariant derivatives. We derive a bosonic lattice Hamiltonian that describes the mixing of these excited AdS giants operators under the action of the one-loop dilatation operator of N=4 SYM. This Hamiltonian captures several intuitive differences with respect to the case of sphere giant gravitons. A semiclassical analysis of the Hamiltonian allows us to give a geometrical interpretation for the labeling used to describe the fields products appended to the AdS giant operators. It also allows us to show evidence for the existence of continuous bands in the Hamiltonian spectrum.

[ { "created": "Fri, 18 Aug 2006 01:43:50 GMT", "version": "v1" } ]

2009-11-11

[ [ "Correa", "Diego H.", "" ], [ "Silva", "Guillermo A.", "" ] ]

We study the one-loop anomalous dimensions of the Super Yang-Mills dual operators to open strings ending on AdS giant gravitons. AdS giant gravitons have no upper bound for their angular momentum and we represent them by the contraction of scalar fields, carrying the appropriate R-charge, with a totally symmetric tensor. We represent the open string motion along AdS directions by appending to the giant graviton operator a product of fields including covariant derivatives. We derive a bosonic lattice Hamiltonian that describes the mixing of these excited AdS giants operators under the action of the one-loop dilatation operator of N=4 SYM. This Hamiltonian captures several intuitive differences with respect to the case of sphere giant gravitons. A semiclassical analysis of the Hamiltonian allows us to give a geometrical interpretation for the labeling used to describe the fields products appended to the AdS giant operators. It also allows us to show evidence for the existence of continuous bands in the Hamiltonian spectrum.

9.781392

10.658547

11.558416

10.397115

11.16898

10.693347

11.219043

10.413632

10.539388

13.590357

10.43596

10.148954

11.069228

10.172476

10.1443

10.307745

10.435915

10.062938

10.344211

10.859717

10.148564

1602.05794

Jean-Fran\c{c}ois Fortin

Jean-Fran\c{c}ois Fortin, Witold Skiba

Conformal Bootstrap in Embedding Space

11 pages, added references

Phys. Rev. D 93, 105047 (2016)

10.1103/PhysRevD.93.105047

null

hep-th

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

It is shown how to obtain conformal blocks from embedding space with the help of the operator product expansion. The minimal conformal block originates from scalar exchange in a four-point correlation functions of four scalars. All remaining conformal blocks are simple derivatives of the minimal conformal block. With the help of the orthogonality properties of the conformal blocks, the analytic conformal bootstrap can be implemented directly in embedding space, leading to a Jacobi-like definition of conformal field theories.

[ { "created": "Thu, 18 Feb 2016 13:37:41 GMT", "version": "v1" }, { "created": "Tue, 31 May 2016 15:45:22 GMT", "version": "v2" } ]

2016-06-08

[ [ "Fortin", "Jean-François", "" ], [ "Skiba", "Witold", "" ] ]

It is shown how to obtain conformal blocks from embedding space with the help of the operator product expansion. The minimal conformal block originates from scalar exchange in a four-point correlation functions of four scalars. All remaining conformal blocks are simple derivatives of the minimal conformal block. With the help of the orthogonality properties of the conformal blocks, the analytic conformal bootstrap can be implemented directly in embedding space, leading to a Jacobi-like definition of conformal field theories.

10.053309

8.796562

10.302622

9.341783

9.785714

9.941374

9.672441

9.687195

9.331011

10.771981

9.822682

9.039543

10.215211

9.046483

9.232151

9.187142

9.110098

9.177367

9.355608

10.89841

8.947996

1603.00350

Ahmed Farag Ali

Alireza Sepehri, Farook Rahaman, Salvatore Capozziello, Ahmed Farag Ali, Anirudh Pradhan

The evolution of Brown-York quasilocal energy due to evolution of Lovelock gravity in a system of M0-branes

17 pages, 4 figures, revtex4

Int. J. Geom. Methods Mod. Phys. 0, 1750099 (2017)

10.1142/S0219887817500992

null

hep-th gr-qc

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

Recently, it has been suggested in [JHEP 12(2015)003] that the Brown-York mechanism can be used to measure the quasilocal energy in Lovelock gravity. We have used this method in a system of M0-branes and show that the Brown-York energy evolves in the process of birth and growth of Lovelock gravity. This can help us to predict phenomenological events which are emerged as due to dynamical structure of Lovelock gravity in our universe. In this model, first, M0-branes join to each other and form an M3-brane and an anti-M3-branes connected by an M2-brane. This system is named BIon. Universes and anti-universes live on M3-branes and M2 plays the role of wormhole between them. By passing time, M2 dissolves in M3's and nonlinear massive gravities, like Lovelock massive gravity, emerges and grows. By closing M3-branes, BIon evolves and wormhole between branes makes a transition to black hole. During this stage, Brown-York energy increases and shrinks to large values at the colliding points of branes. By approaching M3-branes towards each other, the square energy of their system becomes negative and some tachyonic states are produced. To remove these states, M3-branes compact, the sign of compacted gravity changes, anti-gravity is created which leads to getting away of branes from each other. Also, the Lovelock gravity disappears and it's energy forms a new M2 between M3-branes. By getting away of branes from each other, Brown-York energy decreases and shrinks to zero.

[ { "created": "Mon, 29 Feb 2016 09:50:56 GMT", "version": "v1" }, { "created": "Sun, 6 Mar 2016 19:44:27 GMT", "version": "v2" } ]

2017-05-03

[ [ "Sepehri", "Alireza", "" ], [ "Rahaman", "Farook", "" ], [ "Capozziello", "Salvatore", "" ], [ "Ali", "Ahmed Farag", "" ], [ "Pradhan", "Anirudh", "" ] ]

Recently, it has been suggested in [JHEP 12(2015)003] that the Brown-York mechanism can be used to measure the quasilocal energy in Lovelock gravity. We have used this method in a system of M0-branes and show that the Brown-York energy evolves in the process of birth and growth of Lovelock gravity. This can help us to predict phenomenological events which are emerged as due to dynamical structure of Lovelock gravity in our universe. In this model, first, M0-branes join to each other and form an M3-brane and an anti-M3-branes connected by an M2-brane. This system is named BIon. Universes and anti-universes live on M3-branes and M2 plays the role of wormhole between them. By passing time, M2 dissolves in M3's and nonlinear massive gravities, like Lovelock massive gravity, emerges and grows. By closing M3-branes, BIon evolves and wormhole between branes makes a transition to black hole. During this stage, Brown-York energy increases and shrinks to large values at the colliding points of branes. By approaching M3-branes towards each other, the square energy of their system becomes negative and some tachyonic states are produced. To remove these states, M3-branes compact, the sign of compacted gravity changes, anti-gravity is created which leads to getting away of branes from each other. Also, the Lovelock gravity disappears and it's energy forms a new M2 between M3-branes. By getting away of branes from each other, Brown-York energy decreases and shrinks to zero.

11.313848

12.210509

11.337281

10.740681

11.791674

13.154915

12.075166

10.602787

11.535482

12.617771

11.769033

11.560834

11.09881

10.886806

11.244195

11.362759

11.534302

10.985738

11.189362

11.371668

11.422748

0910.3474

Mihai Visinescu

Higher order first integrals of motion in a gauge covariant Hamiltonian framework

13 pages, references added, accepted for publication in MPLA

Mod.Phys.Lett. A25:341-350,2010

10.1142/S0217732310032500

null

hep-th

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

The higher order symmetries are investigated in a covariant Hamiltonian formulation. The covariant phase-space approach is extended to include the presence of external gauge fields and scalar potentials. The special role of the Killing-Yano tensors is pointed out. Some non-trivial examples involving Runge-Lenz type conserved quantities are explicitly worked out.

[ { "created": "Mon, 19 Oct 2009 07:43:29 GMT", "version": "v1" }, { "created": "Mon, 7 Dec 2009 06:51:04 GMT", "version": "v2" } ]

2010-03-17

[ [ "Visinescu", "Mihai", "" ] ]

The higher order symmetries are investigated in a covariant Hamiltonian formulation. The covariant phase-space approach is extended to include the presence of external gauge fields and scalar potentials. The special role of the Killing-Yano tensors is pointed out. Some non-trivial examples involving Runge-Lenz type conserved quantities are explicitly worked out.

10.319757

8.644297

10.213652

9.188853

8.5517

8.243432

8.223619

7.786924

9.045062

10.902201

8.840254

9.153605

9.669946

9.401103

9.582897

9.122324

9.021131

9.697931

9.343511

9.995421

9.027396

hep-th/0506109

Rudra Prakash Malik

R.P.Malik (as-Ictp)

Nilpotent Symmetries For A Spinning Relativistic Particle In Augmented Superfield Formalism

LaTeX file, 21 pages, a notation clarified, a footnote added and related statements corrected in Introduction, version to appear in EPJC

Eur.Phys.J.C45:513-524,2006

10.1140/epjc/s2005-02425-4

null

hep-th

null

The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of augmented superfield approach to BRST formalism. The trajectory of this super-particle is parametrized by a monotonically increasing parameter \tau that is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful one-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element \tau and a couple of odd elements \theta and \bar\theta of the Grassmann algebra. Two anticommuting sets of (anti-)BRST symmetry transformations, corresponding to the underlying (super)gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where (i) the horizontality condition, and (ii) the invariance of conserved quantities on the supermanifold, play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided.

[ { "created": "Tue, 14 Jun 2005 18:18:37 GMT", "version": "v1" }, { "created": "Thu, 16 Jun 2005 08:18:52 GMT", "version": "v2" }, { "created": "Tue, 25 Oct 2005 12:44:57 GMT", "version": "v3" }, { "created": "Fri, 28 Oct 2005 11:35:52 GMT", "version": "v4" } ]

2009-01-07

[ [ "Malik", "R. P.", "", "as-Ictp" ] ]

The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of augmented superfield approach to BRST formalism. The trajectory of this super-particle is parametrized by a monotonically increasing parameter \tau that is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful one-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element \tau and a couple of odd elements \theta and \bar\theta of the Grassmann algebra. Two anticommuting sets of (anti-)BRST symmetry transformations, corresponding to the underlying (super)gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where (i) the horizontality condition, and (ii) the invariance of conserved quantities on the supermanifold, play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided.

6.813376

4.218817

7.777075

4.580156

4.636201

4.24802

4.397971

4.277877

4.501024

7.843705

4.874379

5.572426

7.107939

6.016377

5.911375

5.782768

5.497062

5.637045

5.872974

7.141388

5.983515

1411.1675

Vasco Gon\c{c}alves

Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling

25 pages; Typos fixed, improved OPE analysis, added references

Journal of High Energy Physics 2015:150

10.1007/JHEP04(2015)150

null

hep-th

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

In this short note we use the flat space limit and the relation between the 4-pt correlation function of the bottom and top components of the stress tensor multiplet to constraint its stringy corrections at strong coupling in the planar limit. Then we use this four point function to compute corrections to the anomalous dimension of double trace operators of the Lagrangian density and to compute energy-energy correlators at strong coupling.

[ { "created": "Thu, 6 Nov 2014 18:08:56 GMT", "version": "v1" }, { "created": "Wed, 29 Apr 2015 18:56:05 GMT", "version": "v2" } ]

2015-04-30

[ [ "Gonçalves", "Vasco", "" ] ]

In this short note we use the flat space limit and the relation between the 4-pt correlation function of the bottom and top components of the stress tensor multiplet to constraint its stringy corrections at strong coupling in the planar limit. Then we use this four point function to compute corrections to the anomalous dimension of double trace operators of the Lagrangian density and to compute energy-energy correlators at strong coupling.

12.657126

9.580624

14.387165

10.670421

10.561234

10.532869

10.688435

10.196245

10.505463

14.791147

10.438737

10.760177

13.157838

10.874496

10.933045

10.731108

10.79764

10.586949

10.218999

12.189892

10.761643

1004.2692

Michael B. Green

Jonas Bjornsson and Michael B. Green

5 loops in 24/5 dimensions

23 pages, 7 figures. Version published in journal

JHEP 1008:132,2010

10.1007/JHEP08(2010)132

DAMTP-2010-26

hep-th

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

A first quantised approach to loop amplitudes based on the pure spinor particle is applied to the systematics of four-particle amplitudes in maximally supersymmetric field theories. Counting of fermionic zero modes allows the identification of momentum factors multiplying R**4 in the case of supergravity (and F**4 in the Yang--Mills case) thereby making manifest their ultraviolet properties as a function of dimension, D. For L=2,3,4 loops the leading supergravity divergence is in D=4+6/L dimensions and proportional to d*2L R**4, in line with earlier field theory calculations. However, at five loops there is a radical change in the systematics, suggesting the presence of a contribution with an explicit L=5 logarithmic ultraviolet divergence when D=24/5 that is proportional to d*8 R**4. We further argue that d*8 R**4 should receive contributions from all loops, which would imply that N=8 supergravity (with D=4) is not protected by supersymmetry from a seven-loop divergence.

[ { "created": "Thu, 15 Apr 2010 19:20:41 GMT", "version": "v1" }, { "created": "Tue, 20 Apr 2010 19:27:47 GMT", "version": "v2" }, { "created": "Sun, 23 May 2010 21:55:49 GMT", "version": "v3" }, { "created": "Mon, 6 Sep 2010 13:07:45 GMT", "version": "v4" } ]

2011-03-28

[ [ "Bjornsson", "Jonas", "" ], [ "Green", "Michael B.", "" ] ]

A first quantised approach to loop amplitudes based on the pure spinor particle is applied to the systematics of four-particle amplitudes in maximally supersymmetric field theories. Counting of fermionic zero modes allows the identification of momentum factors multiplying R**4 in the case of supergravity (and F**4 in the Yang--Mills case) thereby making manifest their ultraviolet properties as a function of dimension, D. For L=2,3,4 loops the leading supergravity divergence is in D=4+6/L dimensions and proportional to d*2L R**4, in line with earlier field theory calculations. However, at five loops there is a radical change in the systematics, suggesting the presence of a contribution with an explicit L=5 logarithmic ultraviolet divergence when D=24/5 that is proportional to d*8 R**4. We further argue that d*8 R**4 should receive contributions from all loops, which would imply that N=8 supergravity (with D=4) is not protected by supersymmetry from a seven-loop divergence.

12.229073

11.664459

14.274782

11.697531

13.69669

12.361402

12.230913

11.881706

11.63028

14.416135

11.620408

11.565963

12.877615

12.000821

12.037957

11.53811

11.765495

11.771794

11.884012

12.942298

11.751884

1307.3520

Ehsan Hatefi

Selection Rules and RR Couplings on Non-BPS Branes

27 pages, Latex file, no figure,v2: the title is shortened. To appear in JHEP

JHEP 1311 (2013) 204

10.1007/JHEP11(2013)204

null

hep-th gr-qc hep-ph

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

We compute three and four point functions of the non-BPS scattering amplitudes, including a closed string Ramond-Ramond, gauge/scalar and tachyon in type IIA (IIB) superstring theories. We then discover a unique expansion for tachyon amplitudes in both non-BPS and D-brane anti D-brane formalisms. Based on remarks on Chan-Paton factors and arXiv:1304.3711, we propose selection rules for all non-BPS scattering amplitudes of type II superstring theory. These selection rules, rule out various non-BPS higher point correlation functions of the string theory.

[ { "created": "Fri, 12 Jul 2013 17:29:34 GMT", "version": "v1" }, { "created": "Sun, 10 Nov 2013 14:54:31 GMT", "version": "v2" } ]

2013-11-28

[ [ "Hatefi", "Ehsan", "" ] ]

We compute three and four point functions of the non-BPS scattering amplitudes, including a closed string Ramond-Ramond, gauge/scalar and tachyon in type IIA (IIB) superstring theories. We then discover a unique expansion for tachyon amplitudes in both non-BPS and D-brane anti D-brane formalisms. Based on remarks on Chan-Paton factors and arXiv:1304.3711, we propose selection rules for all non-BPS scattering amplitudes of type II superstring theory. These selection rules, rule out various non-BPS higher point correlation functions of the string theory.

11.847599

10.897039

12.946288

10.701422

9.608003

10.374699

10.740225

10.172816

9.81089

13.275023

10.262089

10.774384

12.740987

11.190279

10.564914

10.853906

10.860226

10.502857

10.671558

12.423951

11.048724

1610.08521

Joshua Erlich

Christopher D. Carone, Joshua Erlich and Diana Vaman

Emergent Gravity from Vanishing Energy-Momentum Tensor

25 pages, 6 figures

null

10.1007/JHEP03(2017)134

null

hep-th gr-qc hep-ph

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

A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as a nonperturbative artifact of regularization-scale physics. We analyze a scalar theory similar to the Dirac-Born-Infeld (DBI) theory with vanishing gauge fields, with the DBI Lagrangian modulated by a scalar potential. In the limit of a large number of scalars, we explicitly demonstrate the existence of a composite massless spin-2 graviton in the spectrum that couples to matter as in Einstein gravity. We comment on the cosmological constant problem and the generalization to theories with fermions and gauge fields.

[ { "created": "Wed, 26 Oct 2016 20:00:06 GMT", "version": "v1" }, { "created": "Thu, 3 Nov 2016 03:58:12 GMT", "version": "v2" } ]

2017-04-26

[ [ "Carone", "Christopher D.", "" ], [ "Erlich", "Joshua", "" ], [ "Vaman", "Diana", "" ] ]

A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as a nonperturbative artifact of regularization-scale physics. We analyze a scalar theory similar to the Dirac-Born-Infeld (DBI) theory with vanishing gauge fields, with the DBI Lagrangian modulated by a scalar potential. In the limit of a large number of scalars, we explicitly demonstrate the existence of a composite massless spin-2 graviton in the spectrum that couples to matter as in Einstein gravity. We comment on the cosmological constant problem and the generalization to theories with fermions and gauge fields.

8.615945

8.796585

8.514072

8.526841

8.713704

9.109353

9.169979

8.740545

8.507488

8.945261

8.616541

7.913796

8.354735

8.022123

8.046921

8.402788

8.096335

8.116436

7.939941

8.079461

8.163333

1910.08441

Elena Mirela Babalic Dr

Lilia Anguelova, Elena Mirela Babalic, Calin Iuliu Lazaroiu

Noether Symmetries of Two-Field Cosmological Models

6 pages, conference proceedings for TIM 19 Physics Conference, 29-31 May 2019, Timisoara

null

10.1063/5.0001035

null

hep-th

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

We summarize our work on "hidden" Noether symmetries of multifield cosmological models and the classification of those two-field cosmological models which admit such symmetries.

[ { "created": "Fri, 18 Oct 2019 14:34:03 GMT", "version": "v1" } ]

2020-04-22

[ [ "Anguelova", "Lilia", "" ], [ "Babalic", "Elena Mirela", "" ], [ "Lazaroiu", "Calin Iuliu", "" ] ]

We summarize our work on "hidden" Noether symmetries of multifield cosmological models and the classification of those two-field cosmological models which admit such symmetries.

13.471603

8.645614

9.928448

8.772265

9.077481

9.046794

8.650659

8.227177

9.399738

10.396092

9.988768

9.433107

10.543723

9.896273

10.122201

10.016649

9.836017

9.753457

10.677147

10.006426

9.942274

1312.5883

Bengt E. W. Nilsson

Bengt E.W. Nilsson

Towards an exact frame formulation of conformal higher spins in three dimensions

18 pages, v2: misprints corrected, an appendix, footnotes and some clarifying remarks added, 21 pages

null

hep-th

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

In this note we discuss some aspects of the frame formulation of conformal higher spins in three dimensions. We give some exact formulae for the coupled spin two - spin three part of the full higher spin theory and propose a star product Lagrangian for all spins from two and up. Since there is no consistent Lagrangian formulation based on the Poisson bracket we start the construction from the field equations in this approximation of the star product. The higher spin algebra is then realized in terms of classical variables which leads to certain important simplifications that we take advantage of. The suggested structure of the all-spin Lagrangian given here is, however, obtained using an expansion of the star product beyond the Poisson bracket in terms of multi-commutators and the Lagrangian should be viewed as a starting point for the derivation of the full theory based on a star product. How to do this is explained as well as how to include the coupling to scalar fields. We also comment on the AdS/CFT relation to four dimensions.

[ { "created": "Fri, 20 Dec 2013 10:53:08 GMT", "version": "v1" }, { "created": "Thu, 4 Jun 2015 10:50:27 GMT", "version": "v2" } ]

2015-06-05

[ [ "Nilsson", "Bengt E. W.", "" ] ]

In this note we discuss some aspects of the frame formulation of conformal higher spins in three dimensions. We give some exact formulae for the coupled spin two - spin three part of the full higher spin theory and propose a star product Lagrangian for all spins from two and up. Since there is no consistent Lagrangian formulation based on the Poisson bracket we start the construction from the field equations in this approximation of the star product. The higher spin algebra is then realized in terms of classical variables which leads to certain important simplifications that we take advantage of. The suggested structure of the all-spin Lagrangian given here is, however, obtained using an expansion of the star product beyond the Poisson bracket in terms of multi-commutators and the Lagrangian should be viewed as a starting point for the derivation of the full theory based on a star product. How to do this is explained as well as how to include the coupling to scalar fields. We also comment on the AdS/CFT relation to four dimensions.

11.782352

11.69489

12.859872

11.905979

12.637487

12.431282

11.444839

11.880208

11.692233

13.868553

11.373544

11.63309

11.726653

11.194747

11.316034

11.616541

11.165648

11.373932

11.127426

12.094155

11.050131

1207.4591

Michael Wohlgenannt

Kaddour Chelabi and Manfred Schweda and Smain Kouadik

Translation-Invariant Renormalizable Noncommutative Chern-Simons Theory

12 pages

null

hep-th

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

In this paper we show the renormalizability of the translation invariant noncommutative Chern-Simons theory, motivated by the work done on noncommutative scalar field theory [06]. We add a new term to the bilinear part of the action. In addition, we prove, the finiteness of the theory at one- and two-loop level despite this modification. Finally we perform the one-loop two point functions of the gluon contribution.

[ { "created": "Thu, 19 Jul 2012 09:25:11 GMT", "version": "v1" } ]

2012-07-20

[ [ "Chelabi", "Kaddour", "" ], [ "Schweda", "Manfred", "" ], [ "Kouadik", "Smain", "" ] ]

In this paper we show the renormalizability of the translation invariant noncommutative Chern-Simons theory, motivated by the work done on noncommutative scalar field theory [06]. We add a new term to the bilinear part of the action. In addition, we prove, the finiteness of the theory at one- and two-loop level despite this modification. Finally we perform the one-loop two point functions of the gluon contribution.

11.571333

10.260171

10.549798

9.777522

9.970867

10.009356

10.697032

9.910886

10.06868

11.154293

10.100006

10.230183

10.540594

10.415624

9.827022

10.135981

10.092621

10.17276

9.924227

10.743378

10.414849

hep-th/9805218

Martin Schmaltz

Martin Schmaltz (Boston University)

Duality of Non-Supersymmetric Large N Gauge Theories

27 pages, 4 figures

Phys. Rev. D 59, 105018 (1999)

10.1103/PhysRevD.59.105018

BUHEP-98-14

hep-th

null

Starting from Seiberg's electric-magnetic duality for supersymmetric QCD, we construct dual pairs of non-supersymmetric gauge theories. This is accomplished by first taking the large N limit of supersymmetric QCD and its dual partner and then performing a special ``orbifold projection'' recently introduced by Kachru and Silverstein. We argue that in the large N limit the two projected theories remain dual. The non-supersymmetric gauge theories which can be studied in this fashion have non-supersymmetric field content, chiral fermions and exactly massless scalar matter.

[ { "created": "Fri, 29 May 1998 19:17:50 GMT", "version": "v1" }, { "created": "Mon, 1 Jun 1998 01:53:13 GMT", "version": "v2" } ]

2016-08-25

[ [ "Schmaltz", "Martin", "", "Boston University" ] ]

Starting from Seiberg's electric-magnetic duality for supersymmetric QCD, we construct dual pairs of non-supersymmetric gauge theories. This is accomplished by first taking the large N limit of supersymmetric QCD and its dual partner and then performing a special ``orbifold projection'' recently introduced by Kachru and Silverstein. We argue that in the large N limit the two projected theories remain dual. The non-supersymmetric gauge theories which can be studied in this fashion have non-supersymmetric field content, chiral fermions and exactly massless scalar matter.

7.845917

7.230501

8.203738

7.11903

7.097038

7.181027

7.52344

7.313219

7.11871

7.857508

6.95115

7.306979

7.559325

7.22994

7.260502

7.149666

7.333336

7.382646

7.226026

7.642362

7.279245

2312.10149

David Osten

A heterotic integrable deformation of the principal chiral model

12 pages, comments welcome

null

hep-th math-ph math.MP

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

A novel classically integrable model is proposed. It is a deformation of the two-dimensional principal chiral model, embedded into a heterotic $\sigma$-model, by a particular heterotic gauge field. This is inspired by the bosonic part of the heterotic $\sigma$-model and its recent Hamiltonian formulation in terms of O$(d,d+n)$-generalised geometry by Hatsuda, Mori, Sasaki and Yata. Classical integrability is shown by construction of a Lax pair and a classical $\mathcal{R}$-matrix. Latter is almost of the canonical form with twist function and solves the classical Yang-Baxter equation.

[ { "created": "Fri, 15 Dec 2023 19:00:36 GMT", "version": "v1" } ]

2023-12-19

[ [ "Osten", "David", "" ] ]

A novel classically integrable model is proposed. It is a deformation of the two-dimensional principal chiral model, embedded into a heterotic $\sigma$-model, by a particular heterotic gauge field. This is inspired by the bosonic part of the heterotic $\sigma$-model and its recent Hamiltonian formulation in terms of O$(d,d+n)$-generalised geometry by Hatsuda, Mori, Sasaki and Yata. Classical integrability is shown by construction of a Lax pair and a classical $\mathcal{R}$-matrix. Latter is almost of the canonical form with twist function and solves the classical Yang-Baxter equation.

10.881512

9.086974

13.229289

8.93484

9.932569

9.413029

9.732309

9.096334

9.535127

13.183935

9.544362

9.607785

9.942545

9.616246

9.301574

9.41039

9.752387

9.900927

9.339076

10.633292

9.653777

1408.6831

Timo Weigand

Christoph Mayrhofer, Eran Palti, Oskar Till, Timo Weigand

Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications

30 pages; v2: substantially improved presentation, refs added; v3: refs. added, appendix A on remnant discrete subgroups included; v4: refs. added

null

10.1007/JHEP12(2014)068

null

hep-th

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

We study F-Theory compactifications to four dimensions that exhibit discrete gauge symmetries. Geometrically these arise by deforming elliptic fibrations with two sections to a genus-one fibration with a bi-section. From a four-dimensional field-theory perspective they are remnant symmetries from a Higgsed U(1) gauge symmetry. We implement such symmetries in the presence of an additional SU(5) symmetry and associated matter fields, giving a geometric prescription for calculating the induced discrete charge for the matter curves and showing the absence of Yukawa couplings that are forbidden by this charge. We present a detailed map between the field theory and the geometry, including an identification of the Higgs field and the massless states before and after the Higgsing. Finally we show that the Higgsing of the U(1) induces a G-flux which precisely accounts for the change in the Calabi-Yau Euler number so as to leave the D3 tadpole invariant.

[ { "created": "Thu, 28 Aug 2014 19:56:53 GMT", "version": "v1" }, { "created": "Mon, 1 Sep 2014 19:11:58 GMT", "version": "v2" }, { "created": "Thu, 18 Sep 2014 12:15:45 GMT", "version": "v3" }, { "created": "Tue, 13 Jan 2015 08:46:29 GMT", "version": "v4" } ]

2015-06-22

[ [ "Mayrhofer", "Christoph", "" ], [ "Palti", "Eran", "" ], [ "Till", "Oskar", "" ], [ "Weigand", "Timo", "" ] ]

We study F-Theory compactifications to four dimensions that exhibit discrete gauge symmetries. Geometrically these arise by deforming elliptic fibrations with two sections to a genus-one fibration with a bi-section. From a four-dimensional field-theory perspective they are remnant symmetries from a Higgsed U(1) gauge symmetry. We implement such symmetries in the presence of an additional SU(5) symmetry and associated matter fields, giving a geometric prescription for calculating the induced discrete charge for the matter curves and showing the absence of Yukawa couplings that are forbidden by this charge. We present a detailed map between the field theory and the geometry, including an identification of the Higgs field and the massless states before and after the Higgsing. Finally we show that the Higgsing of the U(1) induces a G-flux which precisely accounts for the change in the Calabi-Yau Euler number so as to leave the D3 tadpole invariant.

7.932318

7.833597

9.759561

8.177788

8.558845

7.968082

7.72467

7.909952

8.035337

10.164888

7.872865

7.795684

8.314487

7.71129

7.828146

7.980959

8.033038

8.030249

7.836452

8.443657

7.857083

1812.00918

Thomas Mertens

Andreas Blommaert, Thomas G. Mertens, Henri Verschelde

Fine Structure of Jackiw-Teitelboim Quantum Gravity

37 pages + appendices, v3: added extensive discussion on the gluing measure (comparing with the recent work of Saad-Shenker-Stanford), clarified discussion on factorization and explicit volume factors, and added evidence from hyperbolic geometry, added references, matches published version

JHEP 1909 (2019) 066

10.1007/JHEP09(2019)066

null

hep-th

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

We investigate structural aspects of JT gravity through its BF description. In particular, we provide evidence that JT gravity should be thought of as (a coset of) the noncompact subsemigroup SL$^+$(2,R) BF theory. We highlight physical implications, including the famous sinh Plancherel measure. Exploiting this perspective, we investigate JT gravity on more generic manifolds with emphasis on the edge degrees of freedom on entangling surfaces and factorization. It is found that the one-sided JT gravity degrees of freedom are described not just by a Schwarzian on the asymptotic boundary, but also include frozen SL$^+$(2,R) degrees of freedom on the horizon, identifiable as JT gravity black hole states. Configurations with two asymptotic boundaries are linked to 2d Liouville CFT on the torus surface.

[ { "created": "Mon, 3 Dec 2018 17:23:19 GMT", "version": "v1" }, { "created": "Wed, 7 Aug 2019 08:39:09 GMT", "version": "v2" }, { "created": "Fri, 20 Sep 2019 07:54:21 GMT", "version": "v3" } ]

2019-09-23

[ [ "Blommaert", "Andreas", "" ], [ "Mertens", "Thomas G.", "" ], [ "Verschelde", "Henri", "" ] ]

We investigate structural aspects of JT gravity through its BF description. In particular, we provide evidence that JT gravity should be thought of as (a coset of) the noncompact subsemigroup SL$^+$(2,R) BF theory. We highlight physical implications, including the famous sinh Plancherel measure. Exploiting this perspective, we investigate JT gravity on more generic manifolds with emphasis on the edge degrees of freedom on entangling surfaces and factorization. It is found that the one-sided JT gravity degrees of freedom are described not just by a Schwarzian on the asymptotic boundary, but also include frozen SL$^+$(2,R) degrees of freedom on the horizon, identifiable as JT gravity black hole states. Configurations with two asymptotic boundaries are linked to 2d Liouville CFT on the torus surface.

15.528503

14.317054

17.122726

15.257867

15.052944

14.989437

15.761189

14.629331

14.986331

15.796122

14.834697

14.539133

15.566478

15.008655

15.198622

15.059402

15.129817

14.677085

14.75933

15.58236

14.491411

hep-th/0601071

Massimo Bianchi

Massimo Bianchi, Fabio Riccioni

Massive higher spins and holography

8 pages, talk presented by M.B. at the "Fourth Meeting on Constrained Dynamics and Quantum gravity" held in Cala Gonone (Sardinia, Italy), September 12-16, 2005

J.Phys.Conf.Ser. 33 (2006) 49-56

10.1088/1742-6596/33/1/005

ROM2F/06-01

hep-th

null

We review recent progress towards the understanding of higher spin gauge symmetry breaking in AdS space from a holographic vantage point. According to the AdS/CFT correspondence, N=4 SYM theory at vanishing coupling constant should be dual to a theory in AdS which exhibits higher spin gauge symmetry enhancement. When the SYM coupling is non-zero, all but a handful of HS currents are violated by anomalies, and correspondingly local higher spin symmetry in the bulk gets spontaneously broken. In agreement with previous results and holographic expectations, we find that, barring one notable exception (spin 1 eating spin 0), the Goldstone modes responsible for HS symmetry breaking in AdS have non-vanishing mass even in the limit in which the gauge symmetry is restored. We show that spontaneous breaking a' la Stueckelberg implies that the mass of the relevant spin s'=s-1 Goldstone field is exactly the one predicted by the correspondence.

[ { "created": "Wed, 11 Jan 2006 14:56:59 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bianchi", "Massimo", "" ], [ "Riccioni", "Fabio", "" ] ]

We review recent progress towards the understanding of higher spin gauge symmetry breaking in AdS space from a holographic vantage point. According to the AdS/CFT correspondence, N=4 SYM theory at vanishing coupling constant should be dual to a theory in AdS which exhibits higher spin gauge symmetry enhancement. When the SYM coupling is non-zero, all but a handful of HS currents are violated by anomalies, and correspondingly local higher spin symmetry in the bulk gets spontaneously broken. In agreement with previous results and holographic expectations, we find that, barring one notable exception (spin 1 eating spin 0), the Goldstone modes responsible for HS symmetry breaking in AdS have non-vanishing mass even in the limit in which the gauge symmetry is restored. We show that spontaneous breaking a' la Stueckelberg implies that the mass of the relevant spin s'=s-1 Goldstone field is exactly the one predicted by the correspondence.

10.586278

8.938783

10.786046

9.789301

9.756557

9.471436

9.491582

9.721676

9.493703

11.764481

9.550499

10.009214

10.358667

9.683078

10.048598

10.133146

9.752263

10.063413

9.739136

11.416249

9.718151

1603.07148

Stefan Floerchinger

Variational principle for theories with dissipation from analytic continuation

34 pages, improved discussion of dissipative terms in energy momentum tensor, references added

null

10.1007/JHEP09(2016)099

null

hep-th gr-qc hep-ph

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

The analytic continuation from the Euclidean domain to real space of the one-particle irreducible quantum effective action is discussed in the context of generalized local equilibrium states. Discontinuous terms associated with dissipative behavior are parametrized in terms of a conveniently defined sign operator. A generalized variational principle is then formulated, which allows to obtain causal and real dissipative equations of motion from the analytically continued quantum effective action. Differential equations derived from the implications of general covariance determine the space-time evolution of the temperature and fluid velocity fields and allow for a discussion of entropy production including a local form of the second law of thermodynamics.

[ { "created": "Wed, 23 Mar 2016 11:50:49 GMT", "version": "v1" }, { "created": "Fri, 13 May 2016 12:47:47 GMT", "version": "v2" } ]

2016-10-12

[ [ "Floerchinger", "Stefan", "" ] ]

The analytic continuation from the Euclidean domain to real space of the one-particle irreducible quantum effective action is discussed in the context of generalized local equilibrium states. Discontinuous terms associated with dissipative behavior are parametrized in terms of a conveniently defined sign operator. A generalized variational principle is then formulated, which allows to obtain causal and real dissipative equations of motion from the analytically continued quantum effective action. Differential equations derived from the implications of general covariance determine the space-time evolution of the temperature and fluid velocity fields and allow for a discussion of entropy production including a local form of the second law of thermodynamics.

13.682619

13.82226

14.772846

13.223963

14.043821

14.750888

14.43321

13.641229

12.827594

13.505171

13.681603

13.858849

13.277835

13.73889

13.957954

14.212138

14.269559

14.134632

13.408983

13.499943

13.836596

hep-th/9607167

Patrick E. Dorey

Patrick Dorey and Roberto Tateo

Excited states by analytic continuation of TBA equations

25 pages, latex, 6 ps files, uses epsf.tex. Typos corrected

Nucl.Phys.B482:639-659,1996

10.1016/S0550-3213(96)00516-0

DTP-96/29

hep-th

null

We suggest an approach to the problem of finding integral equations for the excited states of an integrable model, starting from the Thermodynamic Bethe Ansatz equations for its ground state. The idea relies on analytic continuation through complex values of the coupling constant, and an analysis of the monodromies that the equations and their solutions undergo. For the scaling Lee-Yang model, we find equations in this way for the one- and two- particle states in the spin-zero sector, and suggest various generalisations. Numerical results show excellent agreement with the truncated conformal space approach, and we also treat some of the ultraviolet and infrared asymptotics analytically.

[ { "created": "Sun, 21 Jul 1996 22:44:37 GMT", "version": "v1" }, { "created": "Tue, 6 Aug 1996 17:28:38 GMT", "version": "v2" } ]

2011-05-05

[ [ "Dorey", "Patrick", "" ], [ "Tateo", "Roberto", "" ] ]

We suggest an approach to the problem of finding integral equations for the excited states of an integrable model, starting from the Thermodynamic Bethe Ansatz equations for its ground state. The idea relies on analytic continuation through complex values of the coupling constant, and an analysis of the monodromies that the equations and their solutions undergo. For the scaling Lee-Yang model, we find equations in this way for the one- and two- particle states in the spin-zero sector, and suggest various generalisations. Numerical results show excellent agreement with the truncated conformal space approach, and we also treat some of the ultraviolet and infrared asymptotics analytically.

7.803015

6.746346

8.964487

6.674174

6.716046

6.393994

7.046391

6.695143

6.750133

9.716911

6.630832

6.779253

7.704439

7.015297

6.865914

6.777839

6.773418

6.962726

6.918968

7.748723

6.881738

2408.06026

Bindusar Sahoo

Franz Ciceri, Axel Kleinschmidt, Subrabalan Murugesan and Bindusar Sahoo

Torus reduction of maximal conformal supergravity

31 Pages, latex

null

hep-th

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

We consider the dimensional reduction of N=(2,0) conformal supergravity in six dimensions on a two-torus to N=4 conformal supergravity in four dimensions. At the level of kinematics, the six-dimensional Weyl multiplet is shown to reduce to a mixture of the N=4 Weyl and vector multiplets, which can be reinterpreted as a new off-shell multiplet of N=4 conformal supergravity. Similar multiplets have been constructed in other settings and are referred to as dilaton Weyl multiplets. We derive it here for the first time in a maximally supersymmetric context in four dimensions. Furthermore, we present the non-linear relations between all the six- and four-dimensional bosonic and fermionic fields, that are obtained by comparing the off-shell supersymmetry transformation rules.

[ { "created": "Mon, 12 Aug 2024 09:28:44 GMT", "version": "v1" } ]

2024-08-13

[ [ "Ciceri", "Franz", "" ], [ "Kleinschmidt", "Axel", "" ], [ "Murugesan", "Subrabalan", "" ], [ "Sahoo", "Bindusar", "" ] ]

We consider the dimensional reduction of N=(2,0) conformal supergravity in six dimensions on a two-torus to N=4 conformal supergravity in four dimensions. At the level of kinematics, the six-dimensional Weyl multiplet is shown to reduce to a mixture of the N=4 Weyl and vector multiplets, which can be reinterpreted as a new off-shell multiplet of N=4 conformal supergravity. Similar multiplets have been constructed in other settings and are referred to as dilaton Weyl multiplets. We derive it here for the first time in a maximally supersymmetric context in four dimensions. Furthermore, we present the non-linear relations between all the six- and four-dimensional bosonic and fermionic fields, that are obtained by comparing the off-shell supersymmetry transformation rules.

5.681972

4.968267

6.325842

5.022897

4.923641

5.240079

5.283875

4.890868

5.16468

6.794663

5.04739

5.059295

5.462219

5.180006

5.32962

5.135087

5.108161

5.147564

5.187614

5.550571

5.173661

1202.2366

Mark Wyman

Peter Adshead and Mark Wyman

Chromo-Natural Inflation: Natural inflation on a steep potential with classical non-Abelian gauge fields

v2: 5 pages, no figures. Version accepted to PRL

Phys. Rev. Lett. 108, 261302 (2012)

10.1103/PhysRevLett.108.261302

null

hep-th astro-ph.CO

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

We propose a model for inflation consisting of an axionic scalar field coupled to a set of three non-Abelian gauge fields. Our model's novel requirement is that the gauge fields begin inflation with a rotationally invariant vacuum expectation value (VEV) that is preserved through identification of SU(2) gauge invariance with rotations in three dimensions. The gauge VEV interacts with the background value of the axion, leading to an attractor solution that exhibits slow roll inflation even when the axion decay constant has a natural value ($<M_{\rm Pl}$). Assuming a sinusoidal potential for the axion, we find that inflation continues until the axionic potential vanishes. The speed at which the axion moves along its potential is modulated by its interactions with the gauge VEV, rather than being determined by the slope of its bare potential. For sub-Plankian axion decay constants vanishingly small tensor to scalar ratios are predicted, a direct consequence of the Lyth bound. The parameter that controls the interaction strength between the axion and the gauge fields requires a technically natural tuning of $\mathcal{O}$(100).

[ { "created": "Fri, 10 Feb 2012 21:00:56 GMT", "version": "v1" }, { "created": "Thu, 21 Jun 2012 19:00:44 GMT", "version": "v2" } ]

2012-07-06

[ [ "Adshead", "Peter", "" ], [ "Wyman", "Mark", "" ] ]

We propose a model for inflation consisting of an axionic scalar field coupled to a set of three non-Abelian gauge fields. Our model's novel requirement is that the gauge fields begin inflation with a rotationally invariant vacuum expectation value (VEV) that is preserved through identification of SU(2) gauge invariance with rotations in three dimensions. The gauge VEV interacts with the background value of the axion, leading to an attractor solution that exhibits slow roll inflation even when the axion decay constant has a natural value ($<M_{\rm Pl}$). Assuming a sinusoidal potential for the axion, we find that inflation continues until the axionic potential vanishes. The speed at which the axion moves along its potential is modulated by its interactions with the gauge VEV, rather than being determined by the slope of its bare potential. For sub-Plankian axion decay constants vanishingly small tensor to scalar ratios are predicted, a direct consequence of the Lyth bound. The parameter that controls the interaction strength between the axion and the gauge fields requires a technically natural tuning of $\mathcal{O}$(100).

8.261348

9.569103

8.884439

8.559383

8.622083

9.360325

9.160755

8.62864

8.636499

9.135245

8.629479

8.345136

8.228497

8.212747

8.362731

8.534438

8.590156

8.078042

8.175904

8.404633

8.341548

hep-th/0207279

Jerzy Kowalski-Glikman

De Sitter space as an arena for Doubly Special Relativity

7 pages, A footnote clarifying the issue of momenta addition added, mistake in the bibliography corrected

Phys.Lett. B547 (2002) 291-296

10.1016/S0370-2693(02)02762-4

null

hep-th

null

We show that Doubly Special Relativity (DSR) can be viewed as a theory with energy-momentum space being the four dimensional de Sitter space. Different formulations (bases) of the DSR theory considered so far can be therefore understood as different coordinate systems on this space. The emerging geometrical picture makes it possible to understand the universality of the non-commutative structure of space-time of Doubly Special Relativity. Moreover, it suggests how to construct the most natural DSR bases and makes it possible to address the long standing problem of total momentum of many particle systems from a different perspective.

[ { "created": "Wed, 31 Jul 2002 13:20:55 GMT", "version": "v1" }, { "created": "Sat, 3 Aug 2002 17:09:54 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kowalski-Glikman", "Jerzy", "" ] ]

We show that Doubly Special Relativity (DSR) can be viewed as a theory with energy-momentum space being the four dimensional de Sitter space. Different formulations (bases) of the DSR theory considered so far can be therefore understood as different coordinate systems on this space. The emerging geometrical picture makes it possible to understand the universality of the non-commutative structure of space-time of Doubly Special Relativity. Moreover, it suggests how to construct the most natural DSR bases and makes it possible to address the long standing problem of total momentum of many particle systems from a different perspective.

8.97591

8.637463

9.236173

7.841653

8.456194

8.12895

8.345417

8.004369

8.230374

8.57439

7.837872

8.106457

8.337702

8.268225

8.23081

8.334478

8.229324

8.331242

8.48576

8.825965

8.104766

hep-th/0107086

Antonios Papazoglou

Ian I. Kogan, Stavros Mouslopoulos, Antonios Papazoglou and Graham G. Ross (Oxford University)

Multigravity in six dimensions: Generating bounces with flat positive tension branes

27 pages, 13 figures, typos corrected

Phys.Rev. D64 (2001) 124014

10.1103/PhysRevD.64.124014

OUTP-01-41P

hep-th gr-qc hep-ph

null

We present a generalization of the five dimensional multigravity models to six dimensions. The key characteristic of these constructions is that that we obtain solutions which do not have any negative tension branes while at the same time the branes are kept flat. This is due to the fact that in six dimensions the internal space is not trivial and its curvature allows bounce configurations with the above feature. These constructions give for the first time a theoretically and phenomenologically viable realization of multigravity.

[ { "created": "Tue, 10 Jul 2001 23:05:01 GMT", "version": "v1" }, { "created": "Fri, 20 Jul 2001 15:03:27 GMT", "version": "v2" }, { "created": "Tue, 25 Sep 2001 17:28:17 GMT", "version": "v3" } ]

2009-11-07

[ [ "Kogan", "Ian I.", "", "Oxford University" ], [ "Mouslopoulos", "Stavros", "", "Oxford University" ], [ "Papazoglou", "Antonios", "", "Oxford University" ], [ "Ross", "Graham G.", "", "Oxford University" ] ]

We present a generalization of the five dimensional multigravity models to six dimensions. The key characteristic of these constructions is that that we obtain solutions which do not have any negative tension branes while at the same time the branes are kept flat. This is due to the fact that in six dimensions the internal space is not trivial and its curvature allows bounce configurations with the above feature. These constructions give for the first time a theoretically and phenomenologically viable realization of multigravity.

14.460452

13.49667

14.806676

12.784263

13.259458

13.97433

12.850689

13.031584

12.406345

16.181688

12.322939

13.019453

13.020841

12.580118

13.624594

13.557725

12.867852

13.329189

12.749067

13.523579

13.032963

hep-th/0304019

Jorgen Rasmussen

A. Belhaj, L.B. Drissi, J. Rasmussen

On N=1 gauge models from geometric engineering in M-theory

13 pages, LaTeX

Class.Quant.Grav.20:4973-4982,2003

10.1088/0264-9381/20/23/002

null

hep-th

null

We study geometric engineering of four-dimensional N=1 gauge models from M-theory on a seven-dimensional manifold with G_2 holonomy. The manifold is constructed as a K3 fibration over a three-dimensional base space with ADE geometry. The resulting gauge theory is discussed in the realm of (p,q) webs. We discuss how the anomaly cancellation condition translates into a condition on the associated affine ADE Lie algebras.

[ { "created": "Wed, 2 Apr 2003 19:13:13 GMT", "version": "v1" } ]

2014-11-18

[ [ "Belhaj", "A.", "" ], [ "Drissi", "L. B.", "" ], [ "Rasmussen", "J.", "" ] ]

We study geometric engineering of four-dimensional N=1 gauge models from M-theory on a seven-dimensional manifold with G_2 holonomy. The manifold is constructed as a K3 fibration over a three-dimensional base space with ADE geometry. The resulting gauge theory is discussed in the realm of (p,q) webs. We discuss how the anomaly cancellation condition translates into a condition on the associated affine ADE Lie algebras.

7.880987

6.696599

8.124525

6.630119

7.121848

6.869469

6.694162

6.537238

5.890656

8.321892

6.844069

6.33323

7.46454

6.727715

6.663557

6.72506

6.680964

6.701423

6.73092

7.406291

6.542113

hep-th/0611251

Alon Faraggi

Alon E. Faraggi, Costas Kounnas, John Rizos

Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models

standard LaTex; 29 pages; 6 figures

Nucl.Phys.B774:208-231,2007

10.1016/j.nuclphysb.2007.03.029

LPTENS-06/55; LTH-715

hep-th hep-ph

null

We continue the classification of the fermionic Z2XZ2 heterotic string vacua with symmetric internal shifts. The space of models is spanned by working with a fixed set of boundary condition basis vectors and by varying the sets of independent Generalized GSO (GGSO) projection coefficients (discrete torsion). This includes the Calabi-Yau like compactifications with (2,2) world-sheet superconformal symmetry, as well as more general vacua with only (2,0) superconformal symmetry. In contrast to our earlier classification that utilized a montecarlo technique to generate random sets of GGSO phases, in this paper we present the results of a complete classification of the subclass of the models in which the four dimensional gauge group arises solely from the null sector. In line with the results of the statistical classification we find a bell shaped distribution that peaks at vanishing net number of generations and with ~15% of the models having three net chiral families. The complete classification reveals a novel spinor-vector duality symmetry over the entire space of vacua. The S <-> V duality interchanges the spinor plus anti-spinor representations with vector representations. We present the data that demonstrates the spinor-vector duality. We illustrate the existence of a duality map in a concrete example. We provide a general algebraic proof for the existence of the S <-> V duality map. We discuss the case of self-dual solutions with an equal number of vectors and spinors, in the presence and absence of E6 gauge symmetry, and present a couple of concrete examples of self-dual models without E6 symmetry.

[ { "created": "Thu, 23 Nov 2006 14:30:06 GMT", "version": "v1" } ]

2008-11-26

[ [ "Faraggi", "Alon E.", "" ], [ "Kounnas", "Costas", "" ], [ "Rizos", "John", "" ] ]

We continue the classification of the fermionic Z2XZ2 heterotic string vacua with symmetric internal shifts. The space of models is spanned by working with a fixed set of boundary condition basis vectors and by varying the sets of independent Generalized GSO (GGSO) projection coefficients (discrete torsion). This includes the Calabi-Yau like compactifications with (2,2) world-sheet superconformal symmetry, as well as more general vacua with only (2,0) superconformal symmetry. In contrast to our earlier classification that utilized a montecarlo technique to generate random sets of GGSO phases, in this paper we present the results of a complete classification of the subclass of the models in which the four dimensional gauge group arises solely from the null sector. In line with the results of the statistical classification we find a bell shaped distribution that peaks at vanishing net number of generations and with ~15% of the models having three net chiral families. The complete classification reveals a novel spinor-vector duality symmetry over the entire space of vacua. The S <-> V duality interchanges the spinor plus anti-spinor representations with vector representations. We present the data that demonstrates the spinor-vector duality. We illustrate the existence of a duality map in a concrete example. We provide a general algebraic proof for the existence of the S <-> V duality map. We discuss the case of self-dual solutions with an equal number of vectors and spinors, in the presence and absence of E6 gauge symmetry, and present a couple of concrete examples of self-dual models without E6 symmetry.

9.87167

8.816097

10.947569

9.407666

8.699973

9.167996

8.951033

9.346385

9.331073

12.344943

9.448453

9.625256

9.73898

9.565622

9.604198

9.901691

9.515729

9.455784

9.789091

10.035803

9.547776

hep-th/0409113

Leonid Chekhov O.

L. Chekhov

AdS_3/CFT_2 on torus in the sum over geometries

11 pages in LaTeX, 1 figure

Theor.Math.Phys. 146 (2006) 13-24; Teor.Mat.Fiz. 146 (2006) 17-30

null

ITEP-TH-36/04

hep-th

null

We investigate the AdS$_3$/CFT$_2$ correspondence for the Euclidean AdS$_3$ space compactified on a solid torus with the CFT field on the regularizing boundary surface in the bulk. Correlation functions corresponding to the bulk theory at finite temperature tend to the standard CFT correlation functions in the limit of removed regularization. In both regular and $Z_N$ orbifold cases, in the sum over geometries, the two-point correlation function for massless modes factors, up to divergent terms proportional to the volume of the $SL(2,Z)/Z}$ group, into the finite sum of products of the conformal--anticonformal CFT Green's functions.

[ { "created": "Fri, 10 Sep 2004 14:23:35 GMT", "version": "v1" } ]

2007-05-23

[ [ "Chekhov", "L.", "" ] ]

We investigate the AdS$_3$/CFT$_2$ correspondence for the Euclidean AdS$_3$ space compactified on a solid torus with the CFT field on the regularizing boundary surface in the bulk. Correlation functions corresponding to the bulk theory at finite temperature tend to the standard CFT correlation functions in the limit of removed regularization. In both regular and $Z_N$ orbifold cases, in the sum over geometries, the two-point correlation function for massless modes factors, up to divergent terms proportional to the volume of the $SL(2,Z)/Z}$ group, into the finite sum of products of the conformal--anticonformal CFT Green's functions.

14.388415

13.019537

14.99989

12.807257

13.792248

13.137556

13.44803

13.265659

12.63299

18.92634

13.078418

12.8688

13.492683

13.020798

13.499225

13.514397

13.385156

13.399961

13.057016

13.197984

13.16728

1011.5181

George Georgiou

Two and three-point correlators of operators dual to folded string solutions at strong coupling

22 pages 3 figures,typos corrected,references added

JHEP 1102:046,2011

10.1007/JHEP02(2011)046

null

hep-th

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

A particular analytic continuation of classical string solutions having a single AdS_5 spin is considered. These solutions describe strings tunnelling from the boundary to the boundary of AdS_5. We use the Legendre transform of the dimensionally regularised action of these solutions to evaluate the 2-point functions of the dual operators, holographically. Subsequently, we evaluate the structure coefficient of correlators involving two operators with spin S and a BPS state, at strong coupling. Our expressions are valid for any value of the AdS spin S/\sqrt{\lambda} and can be applied both at the case of long and short strings. For long strings and at leading order, the structure coefficient is independent of the spin S for twist J operators, while it scales as 1/\log^l{\frac{S}{\sqrt{\lambda}}} for the case of operators with two equal angular momenta in S^5. For short strings, the structure coefficient is proportional to the energy E of the string. Finally, we comment on the possibility of relating the strong coupling 3-point function coefficient of three large spin twist 2 operators to the action of the 6-gluon scattering amplitude.

[ { "created": "Tue, 23 Nov 2010 17:59:56 GMT", "version": "v1" }, { "created": "Tue, 7 Dec 2010 11:52:08 GMT", "version": "v2" }, { "created": "Sun, 20 Sep 2015 16:25:50 GMT", "version": "v3" } ]

2015-09-22

[ [ "Georgiou", "George", "" ] ]

A particular analytic continuation of classical string solutions having a single AdS_5 spin is considered. These solutions describe strings tunnelling from the boundary to the boundary of AdS_5. We use the Legendre transform of the dimensionally regularised action of these solutions to evaluate the 2-point functions of the dual operators, holographically. Subsequently, we evaluate the structure coefficient of correlators involving two operators with spin S and a BPS state, at strong coupling. Our expressions are valid for any value of the AdS spin S/\sqrt{\lambda} and can be applied both at the case of long and short strings. For long strings and at leading order, the structure coefficient is independent of the spin S for twist J operators, while it scales as 1/\log^l{\frac{S}{\sqrt{\lambda}}} for the case of operators with two equal angular momenta in S^5. For short strings, the structure coefficient is proportional to the energy E of the string. Finally, we comment on the possibility of relating the strong coupling 3-point function coefficient of three large spin twist 2 operators to the action of the 6-gluon scattering amplitude.

10.047432

9.503245

11.69395

9.18923

9.486753

8.900837

9.575529

9.345171

9.066331

11.703882

9.078779

9.412977

10.02279

9.260655

9.764502

9.426907

9.82319

9.752117

9.541644

10.070556

9.553745

0902.2328

Christian Wozar

Wieland Brendel, Falk Bruckmann, Lukas Janssen, Andreas Wipf, Christian Wozar

Instanton constituents and fermionic zero modes in twisted CP(n) models

11 pages, 11 figures

Phys.Lett.B676:116-125,2009

10.1016/j.physletb.2009.04.055

null

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

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

We construct twisted instanton solutions of CP(n) models. Generically a charge-k instanton splits into k(n+1) well-separated and almost static constituents carrying fractional topological charges and being ordered along the noncompact direction. The locations, sizes and charges of the constituents are related to the moduli parameters of the instantons. We sketch how solutions with fractional total charge can be obtained. We also calculate the fermionic zero modes with quasi-periodic boundary conditions in the background of twisted instantons for minimally and supersymmetrically coupled fermions. The zero modes are tracers for the constituents and show a characteristic hopping. The analytical findings are compared to results extracted from Monte-Carlo generated and cooled configurations of the corresponding lattice models. Analytical and numerical results are in full agreement and it is demonstrated that the fermionic zero modes are excellent filters for constituents hidden in fluctuating lattice configurations.

[ { "created": "Fri, 13 Feb 2009 15:30:01 GMT", "version": "v1" } ]

2014-11-18

[ [ "Brendel", "Wieland", "" ], [ "Bruckmann", "Falk", "" ], [ "Janssen", "Lukas", "" ], [ "Wipf", "Andreas", "" ], [ "Wozar", "Christian", "" ] ]

We construct twisted instanton solutions of CP(n) models. Generically a charge-k instanton splits into k(n+1) well-separated and almost static constituents carrying fractional topological charges and being ordered along the noncompact direction. The locations, sizes and charges of the constituents are related to the moduli parameters of the instantons. We sketch how solutions with fractional total charge can be obtained. We also calculate the fermionic zero modes with quasi-periodic boundary conditions in the background of twisted instantons for minimally and supersymmetrically coupled fermions. The zero modes are tracers for the constituents and show a characteristic hopping. The analytical findings are compared to results extracted from Monte-Carlo generated and cooled configurations of the corresponding lattice models. Analytical and numerical results are in full agreement and it is demonstrated that the fermionic zero modes are excellent filters for constituents hidden in fluctuating lattice configurations.

14.224166

13.872489

15.472415

14.914263

16.294924

15.526026

14.705178

13.916889

14.265126

15.679437

14.193283

13.231986

14.074923

13.763964

13.727016

13.417845

13.357862

13.758101

13.584788

13.958879

13.762498

1512.03837

Christopher Hull

N. Chaemjumrus and C.M. Hull

Finite Gauge Transformations and Geometry in Extended Field Theory

24 pages

Phys. Rev. D 93, 086007 (2016)

10.1103/PhysRevD.93.086007

Imperial-TP-2015-CH-01

hep-th

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

The recently derived expressions for finite gauge transformations in double field theory with duality group O(d,d) are generalised to give expressions for finite gauge transformations for extended field theories with duality group SL(5,R), SO(5,5) and E6. The generalised metrics are discussed.

[ { "created": "Fri, 11 Dec 2015 22:06:23 GMT", "version": "v1" } ]

2016-04-27

[ [ "Chaemjumrus", "N.", "" ], [ "Hull", "C. M.", "" ] ]

The recently derived expressions for finite gauge transformations in double field theory with duality group O(d,d) are generalised to give expressions for finite gauge transformations for extended field theories with duality group SL(5,R), SO(5,5) and E6. The generalised metrics are discussed.

12.173479

10.122316

12.337669

9.28475

10.030663

9.461404

10.48949

9.870724

9.867369

12.322781

8.497225

9.454309

10.339934

9.363998

9.311426

9.877817

9.25089

9.425501

9.97314

10.294708

9.791568

1006.4074

Yan-Gang Miao

Yan-Gang Miao, Zhao Xue, Shao-Jun Zhang

U(2,2) gravity on noncommutative space with symplectic structure

13 pages, no figures; v2: 14 pages, clarifications and references added; v3: 16 pages, title changed, clarifications and references added; v4: 17 pages, clarifications added, this final version accepted by Physical Review D

Phys.Rev.D83:024023,2011

10.1103/PhysRevD.83.024023

null

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

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

The classical Einstein's gravity can be reformulated from the constrained U(2,2) gauge theory on the ordinary (commutative) four-dimensional spacetime. Here we consider a noncommutative manifold with a symplectic structure and construct a U(2,2) gauge theory on such a manifold by using the covariant coordinate method. Then we use the Seiberg-Witten map to express noncommutative quantities in terms of their commutative counterparts up to the first-order in noncommutative parameters. After imposing constraints we obtain a noncommutative gravity theory described by the Lagrangian with up to nonvanishing first order corrections in noncommutative parameters. This result coincides with our previous one obtained for the noncommutative SL(2,C) gravity.

[ { "created": "Mon, 21 Jun 2010 14:12:24 GMT", "version": "v1" }, { "created": "Thu, 8 Jul 2010 16:17:46 GMT", "version": "v2" }, { "created": "Wed, 3 Nov 2010 13:09:42 GMT", "version": "v3" }, { "created": "Mon, 17 Jan 2011 06:32:35 GMT", "version": "v4" } ]

2011-02-01

[ [ "Miao", "Yan-Gang", "" ], [ "Xue", "Zhao", "" ], [ "Zhang", "Shao-Jun", "" ] ]

The classical Einstein's gravity can be reformulated from the constrained U(2,2) gauge theory on the ordinary (commutative) four-dimensional spacetime. Here we consider a noncommutative manifold with a symplectic structure and construct a U(2,2) gauge theory on such a manifold by using the covariant coordinate method. Then we use the Seiberg-Witten map to express noncommutative quantities in terms of their commutative counterparts up to the first-order in noncommutative parameters. After imposing constraints we obtain a noncommutative gravity theory described by the Lagrangian with up to nonvanishing first order corrections in noncommutative parameters. This result coincides with our previous one obtained for the noncommutative SL(2,C) gravity.

6.247726

5.794512

6.303403

5.717851

6.095603

5.933942

6.102502

5.796482

5.592066

6.463806

5.858039

6.123833

6.368645

5.906731

6.136493

6.238768

6.074494

5.999649

5.918189

6.109877

6.095245

0909.3347

Y.P. Pugai

V.A. Fateev, Y.P. Pugai

Correlation functions of disorder fields and parafermionic currents in Z(N) Ising models

41 pp. v2: some typos and references are corrected.

J. Phys. A: Math. Theor. 42 (2009) 304013

10.1088/1751-8113/42/30/304013

null

hep-th

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

We study correlation functions of parafermionic currents and disorder fields in the Z(N) symmetric conformal field theory perturbed by the first thermal operator. Following the ideas of Al. Zamolodchikov, we develop for the correlation functions the conformal perturbation theory at small scales and the form factors spectral decomposition at large ones. For all N there is an agreement between the data at the intermediate distances. We consider the problems arising in the description of the space of scaling fields in perturbed models, such as null vector relations, equations of motion and a consistent treatment of fields related by a resonance condition.

[ { "created": "Fri, 18 Sep 2009 03:24:46 GMT", "version": "v1" }, { "created": "Mon, 8 Mar 2010 11:27:20 GMT", "version": "v2" } ]

2013-10-15

[ [ "Fateev", "V. A.", "" ], [ "Pugai", "Y. P.", "" ] ]

We study correlation functions of parafermionic currents and disorder fields in the Z(N) symmetric conformal field theory perturbed by the first thermal operator. Following the ideas of Al. Zamolodchikov, we develop for the correlation functions the conformal perturbation theory at small scales and the form factors spectral decomposition at large ones. For all N there is an agreement between the data at the intermediate distances. We consider the problems arising in the description of the space of scaling fields in perturbed models, such as null vector relations, equations of motion and a consistent treatment of fields related by a resonance condition.

14.220456

13.847524

16.868931

13.265348

14.10935

15.155547

14.556303

13.715629

12.802057

17.335121

12.777657

13.225189

15.90015

14.135566

13.413741

13.4292

13.434519

13.35629

13.573266

14.864366

13.108686

1212.6066

Alice Bernamonti

V. Balasubramanian, A. Bernamonti, B. Craps, V. Ker\"anen, E. Keski-Vakkuri, B. M\"uller, L. Thorlacius, and J. Vanhoof

Thermalization of the spectral function in strongly coupled two dimensional conformal field theories

53 pages, 9 figures, v2: references added, a few typos corrected

JHEP 1304 (2013) 069

10.1007/JHEP04(2013)069

null

hep-th

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

Using Wigner transforms of Green functions, we discuss non-equilibrium generalizations of spectral functions and occupation numbers. We develop methods for computing time-dependent spectral functions in conformal field theories holographically dual to thin-shell AdS-Vaidya spacetimes.

[ { "created": "Tue, 25 Dec 2012 17:22:01 GMT", "version": "v1" }, { "created": "Thu, 31 Jan 2013 13:39:24 GMT", "version": "v2" } ]

2014-02-04

[ [ "Balasubramanian", "V.", "" ], [ "Bernamonti", "A.", "" ], [ "Craps", "B.", "" ], [ "Keränen", "V.", "" ], [ "Keski-Vakkuri", "E.", "" ], [ "Müller", "B.", "" ], [ "Thorlacius", "L.", "" ], [ "Vanhoof", "J.", "" ] ]

Using Wigner transforms of Green functions, we discuss non-equilibrium generalizations of spectral functions and occupation numbers. We develop methods for computing time-dependent spectral functions in conformal field theories holographically dual to thin-shell AdS-Vaidya spacetimes.

12.949586

12.734582

12.346194

11.788157

10.172688

10.898228

11.952384

10.344671

11.872318

12.554586

11.086259

11.594165

11.689885

11.320349

11.447328

11.185555

10.955556

11.42101

10.527615

11.190039

12.054111

1106.4108

Ehoud Pazy

E. Pazy and N. Argaman

Quantum particle statistics on the holographic screen leads to Modified Newtonian Dynamics (MOND)

null

Phys. Rev D 85,104021 (2012)

10.1103/PhysRevD.85.104021

null

hep-th gr-qc

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

Employing a thermodynamic interpretation of gravity based on the holographic principle and assuming underlying particle statistics, fermionic or bosonic, for the excitations of the holographic screen leads to Modified Newtonian Dynamics (MOND). A connection between the acceleration scale $a_0$ appearing in MOND and the Fermi energy of the holographic fermionic degrees of freedom is obtained. In this formulation the physics of MOND results from the quantum-classical crossover in the fermionic specific heat. However, due to the dimensionality of the screen, the formalism is general and applies to two dimensional bosonic excitations as well. It is shown that replacing the assumption of the equipartition of energy on the holographic screen by a standard quantum-statistical-mechanics description wherein some of the degrees of freedom are frozen out at low temperatures is the physical basis for the MOND interpolating function ${\tilde \mu}$. The interpolating function ${\tilde \mu}$ is calculated within the statistical mechanical formalism and compared to the leading phenomenological interpolating functions, most commonly used. Based on the statistical mechanical view of MOND, its cosmological implications are re-interpreted: the connection between $a_0$ and the Hubble constant is described as a quantum uncertainty relation; and the relationship between $a_0$ and the cosmological constant is better understood physically.

[ { "created": "Tue, 21 Jun 2011 06:01:26 GMT", "version": "v1" }, { "created": "Fri, 27 Apr 2012 07:37:01 GMT", "version": "v2" } ]

2015-05-28

[ [ "Pazy", "E.", "" ], [ "Argaman", "N.", "" ] ]

Employing a thermodynamic interpretation of gravity based on the holographic principle and assuming underlying particle statistics, fermionic or bosonic, for the excitations of the holographic screen leads to Modified Newtonian Dynamics (MOND). A connection between the acceleration scale $a_0$ appearing in MOND and the Fermi energy of the holographic fermionic degrees of freedom is obtained. In this formulation the physics of MOND results from the quantum-classical crossover in the fermionic specific heat. However, due to the dimensionality of the screen, the formalism is general and applies to two dimensional bosonic excitations as well. It is shown that replacing the assumption of the equipartition of energy on the holographic screen by a standard quantum-statistical-mechanics description wherein some of the degrees of freedom are frozen out at low temperatures is the physical basis for the MOND interpolating function ${\tilde \mu}$. The interpolating function ${\tilde \mu}$ is calculated within the statistical mechanical formalism and compared to the leading phenomenological interpolating functions, most commonly used. Based on the statistical mechanical view of MOND, its cosmological implications are re-interpreted: the connection between $a_0$ and the Hubble constant is described as a quantum uncertainty relation; and the relationship between $a_0$ and the cosmological constant is better understood physically.

8.24209

8.925683

8.360535

8.085314

8.29193

8.099013

8.986865

8.221995

8.050983

8.454714

7.945809

7.903371

7.751979

7.729489

7.746555

7.725844

7.920576

7.753041

7.847147

7.804706

8.0139

hep-th/0201214

Tibra Ali

Level-Rank Duality in Kazama-Suzuki Models

2 pages; revtex; references updated

null

DAMTP-2002-11

hep-th

null

We give a path-integral proof of level-rank duality in Kazama-Suzuki models for world-sheets of spherical topology.

[ { "created": "Mon, 28 Jan 2002 00:54:20 GMT", "version": "v1" }, { "created": "Wed, 13 Feb 2002 14:59:27 GMT", "version": "v2" } ]

2007-05-23

[ [ "Ali", "Tibra", "" ] ]

We give a path-integral proof of level-rank duality in Kazama-Suzuki models for world-sheets of spherical topology.

19.144804

10.247429

23.598478

10.64875

11.178139

8.956342

10.073502

10.823318

9.357359

13.918887

10.147776

14.828498

17.2743

14.331299

11.157187

10.653092

12.742309

12.589953

13.466014

16.005178

11.962884

2303.05362

Stuart Dowker

J.S.Dowker

A discrete Funk-Hecke theorem

10 pages, 3 Figs

null

hep-th

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

A discrete Funk--Hecke formula is set up using the analogy between ordinary and operator spherical harmonics. It is the fuzzy sphere analogue of the conventional theory. An example is related, in the classical limit, to the Rayleigh partial wave expansion.

[ { "created": "Thu, 9 Mar 2023 16:10:18 GMT", "version": "v1" } ]

2023-03-10

[ [ "Dowker", "J. S.", "" ] ]

A discrete Funk--Hecke formula is set up using the analogy between ordinary and operator spherical harmonics. It is the fuzzy sphere analogue of the conventional theory. An example is related, in the classical limit, to the Rayleigh partial wave expansion.

44.975399

38.099052

34.949982

27.720394

35.45274

44.263226

35.498756

30.942337

41.365585

51.56575

36.515751

26.463915

30.503063

28.714783

28.241241

29.972748

28.095715

28.653692

29.128164

35.200127

32.646038

hep-th/0210073

El Hassan Saidi

Mohamed Bennai and El Hassan Saidi

NC Calabi-Yau Manifolds in Toric Varieties with NC Torus fibration

12 pages, LaTex, no figure

Phys.Lett. B550 (2002) 108-116

10.1016/S0370-2693(02)02962-3

null

hep-th

null

Using the algebraic geometry method of Berenstein and Leigh (BL), hep-th/0009209 and hep-th/0105229), and considering singular toric varieties ${\cal V}_{d+1}$ with NC irrational torus fibration, we construct NC extensions ${\cal M}_{d}^{(nc)}$ of complex d dimension Calabi-Yau (CY) manifolds embedded in ${\cal V}_{d+1}^{(nc)}$. We give realizations of the NC $\mathbf{C}^{\ast r}$ toric group, derive the constraint eqs for NC Calabi-Yau (NCCY) manifolds ${\cal M}^{nc}_d$ embedded in ${\cal V}_{d+1}^{nc}$ and work out solutions for their generators. We study fractional $D$ branes at singularities and show that, due to the complete reducibility property of $\mathbf{C}^{\ast r}$ group representations, there is an infinite number of non compact fractional branes at fixed points of the NC toric group.

[ { "created": "Tue, 8 Oct 2002 08:50:26 GMT", "version": "v1" } ]

2009-11-07

[ [ "Bennai", "Mohamed", "" ], [ "Saidi", "El Hassan", "" ] ]

Using the algebraic geometry method of Berenstein and Leigh (BL), hep-th/0009209 and hep-th/0105229), and considering singular toric varieties ${\cal V}_{d+1}$ with NC irrational torus fibration, we construct NC extensions ${\cal M}_{d}^{(nc)}$ of complex d dimension Calabi-Yau (CY) manifolds embedded in ${\cal V}_{d+1}^{(nc)}$. We give realizations of the NC $\mathbf{C}^{\ast r}$ toric group, derive the constraint eqs for NC Calabi-Yau (NCCY) manifolds ${\cal M}^{nc}_d$ embedded in ${\cal V}_{d+1}^{nc}$ and work out solutions for their generators. We study fractional $D$ branes at singularities and show that, due to the complete reducibility property of $\mathbf{C}^{\ast r}$ group representations, there is an infinite number of non compact fractional branes at fixed points of the NC toric group.

8.938914

7.196476

9.175114

7.537299

7.934697

7.409442

7.317139

7.605196

7.626364

10.385724

7.71894

7.655589

8.110035

7.876438

7.730114

7.825591

7.692983

7.827539

7.709688

8.275476

7.722285

hep-th/0010045

Neil D. Lambert

N.D. Lambert and I. Sachs

String Loop Corrections to Stable Non-BPS Branes

References added and some minor corrections

JHEP 0102:018,2001

10.1088/1126-6708/2001/02/018

KCL-TH-00-57

hep-th

null

We calculate the string loop corrections to the tachyon potential for stable non-BPS Dp-branes on the orbifold T^4/Z_2. We find a non-trivial phase structure and we show that, after tachyon condensation, the non-BPS Dp-branes are attracted to each other for p=0,1,2. We then identify the corresponding closed string boundary states together with the massless long range fields they excite. For p=3,4 the string loop correction diverge. We identify the massless closed string fields responsible for these divergencies and regularise the partition function using a Fischler-Susskind mechanism.

[ { "created": "Fri, 6 Oct 2000 16:15:49 GMT", "version": "v1" }, { "created": "Tue, 31 Oct 2000 12:45:20 GMT", "version": "v2" } ]

2010-02-03

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

We calculate the string loop corrections to the tachyon potential for stable non-BPS Dp-branes on the orbifold T^4/Z_2. We find a non-trivial phase structure and we show that, after tachyon condensation, the non-BPS Dp-branes are attracted to each other for p=0,1,2. We then identify the corresponding closed string boundary states together with the massless long range fields they excite. For p=3,4 the string loop correction diverge. We identify the massless closed string fields responsible for these divergencies and regularise the partition function using a Fischler-Susskind mechanism.

7.588533

7.666071

8.830722

7.158072

7.578146

7.88965

7.556228

7.118544

7.141289

8.328858

6.953506

7.318399

8.00701

7.294147

7.639553

7.447933

7.581693

7.205624

7.549503

7.782866

7.384404

1611.03111

Mikhail Shifman

M. Shifman, A. Yung

Non-Abelian Vortex in Four Dimensions as a Critical Superstring

9 pages, Invited contribution to JETP Letters. arXiv admin note: substantial text overlap with arXiv:1605.01472, arXiv:1605.08433 v2: minor textual changes

null

10.1134/S0021364017010040

FTPI-MINN-16/31, UMN-Th-3611/16

hep-th

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

We discuss recent progress in describing a certain non-Abelian vortex string as a critical superstring on a conifold and clarify some subtle points. This particular solitonic vortex is supported in four-dimensional N=2 supersymmetric QCD with the U(2) gauge group, N_f=4 quark flavors and the Fayet-Iliopoulos term. Under certain conditions the non-Abelian vortex can become infinitely thin and can be interpreted as a critical ten-dimensional superstring. In addition to four translational moduli the non-Abelian vortex under consideration carries six orientational and size moduli. The vortex moduli dynamics are described by a two-dimensional sigma model with the target space {R}^4\times Y_6 where Y_6 is a non-compact Calabi-Yau conifold. The closed string states which emerge in four dimensions (4D) are identified with hadrons of 4D bulk N=2 QCD. It turns out that most of the states arising from the ten-dimensional graviton spectrum are non-dynamical in 4D. A single dynamical massless hypermultiplet associated with the deformation of the complex structure of the conifold is found. It is interpreted as a monopole-monopole baryon of the 4D theory (at strong coupling).

[ { "created": "Wed, 9 Nov 2016 22:10:22 GMT", "version": "v1" }, { "created": "Fri, 11 Nov 2016 17:11:02 GMT", "version": "v2" } ]

2017-02-01

[ [ "Shifman", "M.", "" ], [ "Yung", "A.", "" ] ]

We discuss recent progress in describing a certain non-Abelian vortex string as a critical superstring on a conifold and clarify some subtle points. This particular solitonic vortex is supported in four-dimensional N=2 supersymmetric QCD with the U(2) gauge group, N_f=4 quark flavors and the Fayet-Iliopoulos term. Under certain conditions the non-Abelian vortex can become infinitely thin and can be interpreted as a critical ten-dimensional superstring. In addition to four translational moduli the non-Abelian vortex under consideration carries six orientational and size moduli. The vortex moduli dynamics are described by a two-dimensional sigma model with the target space {R}^4\times Y_6 where Y_6 is a non-compact Calabi-Yau conifold. The closed string states which emerge in four dimensions (4D) are identified with hadrons of 4D bulk N=2 QCD. It turns out that most of the states arising from the ten-dimensional graviton spectrum are non-dynamical in 4D. A single dynamical massless hypermultiplet associated with the deformation of the complex structure of the conifold is found. It is interpreted as a monopole-monopole baryon of the 4D theory (at strong coupling).

7.15667

6.200636

7.867183

6.534272

6.471964

6.300406

5.949824

6.556068

6.300278

8.308577

6.423137

6.996259

7.742922

7.070979

6.754992

6.82029

6.762645

7.099359

7.139095

7.604562

7.021396

hep-th/9909061

David Wands

James E. Lidsey, David Wands and E. J. Copeland

Superstring Cosmology

161 pages, latex with epsf, 15 figures. Minor changes, additional references and figures. Version to appear in Physics Reports

Phys.Rept.337:343-492,2000

10.1016/S0370-1573(00)00064-8

null

hep-th astro-ph gr-qc

null

Aspects of superstring cosmology are reviewed with an emphasis on the cosmological implications of duality symmetries in the theory. The string effective actions are summarized and toroidal compactification to four dimensions reviewed. Global symmetries that arise in the compactification are discussed and the duality relationships between the string effective actions are then highlighted. Higher-dimensional Kasner cosmologies are presented and interpreted in both string and Einstein frames, and then given in dimensionally reduced forms. String cosmologies containing both non-trivial Neveu-Schwarz/Neveu-Schwarz and Ramond-Ramond fields are derived by employing the global symmetries of the effective actions. Anisotropic and inhomogeneous cosmologies in four-dimensions are also developed. The review concludes with a detailed analysis of the pre-big bang inflationary scenario. The generation of primordial spectra of cosmological perturbations in such a scenario is discussed. Possible future directions offered in the Horava-Witten theory are outlined.

[ { "created": "Fri, 10 Sep 1999 08:14:22 GMT", "version": "v1" }, { "created": "Mon, 14 Feb 2000 12:40:33 GMT", "version": "v2" } ]

2014-11-18

[ [ "Lidsey", "James E.", "" ], [ "Wands", "David", "" ], [ "Copeland", "E. J.", "" ] ]

Aspects of superstring cosmology are reviewed with an emphasis on the cosmological implications of duality symmetries in the theory. The string effective actions are summarized and toroidal compactification to four dimensions reviewed. Global symmetries that arise in the compactification are discussed and the duality relationships between the string effective actions are then highlighted. Higher-dimensional Kasner cosmologies are presented and interpreted in both string and Einstein frames, and then given in dimensionally reduced forms. String cosmologies containing both non-trivial Neveu-Schwarz/Neveu-Schwarz and Ramond-Ramond fields are derived by employing the global symmetries of the effective actions. Anisotropic and inhomogeneous cosmologies in four-dimensions are also developed. The review concludes with a detailed analysis of the pre-big bang inflationary scenario. The generation of primordial spectra of cosmological perturbations in such a scenario is discussed. Possible future directions offered in the Horava-Witten theory are outlined.

8.245748

8.256299

8.912718

7.727017

8.217847

8.368731

8.295859

8.365953

8.47762

8.787852

8.310408

7.960771

7.950651

7.923094

8.12356

8.035429

8.122662

7.985698

7.974591

8.321096

7.829264

hep-th/9604030

Edward Witten

Non-Perturbative Superpotentials In String Theory

Improved explanation of selection rule, and other more minor corrections, 22 pages

Nucl.Phys.B474:343-360,1996

10.1016/0550-3213(96)00283-0

IASSNS-HEP-96-29

hep-th

null

The non-perturbative superpotential can be effectively calculated in $M$-theory compactification to three dimensions on a Calabi-Yau four-fold $X$. For certain $X$, the superpotential is identically zero, while for other $X$, a non-perturbative superpotential is generated. Using $F$-theory, these results carry over to certain Type IIB and heterotic string compactifications to four dimensions with $N=1$ supersymmetry. In the heterotic string case, the non-perturbative superpotential can be interpreted as coming from space-time and world-sheet instantons; in many simple cases contributions come only from finitely many values of the instanton numbers.

[ { "created": "Fri, 5 Apr 1996 15:10:53 GMT", "version": "v1" }, { "created": "Tue, 7 May 1996 18:23:30 GMT", "version": "v2" } ]

2010-04-07

[ [ "Witten", "Edward", "" ] ]

The non-perturbative superpotential can be effectively calculated in $M$-theory compactification to three dimensions on a Calabi-Yau four-fold $X$. For certain $X$, the superpotential is identically zero, while for other $X$, a non-perturbative superpotential is generated. Using $F$-theory, these results carry over to certain Type IIB and heterotic string compactifications to four dimensions with $N=1$ supersymmetry. In the heterotic string case, the non-perturbative superpotential can be interpreted as coming from space-time and world-sheet instantons; in many simple cases contributions come only from finitely many values of the instanton numbers.

5.918808

5.471251

6.537866

5.458378

5.677202

5.712547

5.419953

5.611864

5.350625

6.266502

5.212993

5.384471

6.178022

5.792476

5.567676

5.381489

5.355097

5.394045

5.606192

5.879321

5.473722

hep-th/9807186

Jeong-Hyuck Park

Superconformal Symmetry in Six-dimensions and Its Reduction to Four

50+1 pages, No figure, A sign error corrected

Nucl.Phys. B539 (1999) 599-642

10.1016/S0550-3213(98)00720-2

DAMTP 98-88

hep-th

null

Superconformal symmetry in six-dimensions is analyzed in terms of coordinate transformations on superspace. A superconformal Killing equation is derived and its solutions are identified in terms of supertranslations, dilations, Lorentz transformations, R-symmetry transformations and special superconformal transformations. The full superconformal symmetry, which is shown to form the group OSp(2,6|N), is possible only if the supersymmetry algebra has N spinorial generators of the same chirality, corresponding to (N,0) supersymmetry. The R-symmetry group is then Sp(N) and the corresponding superspace is R^{6|8N}. We define superinversion as a map to the associated superspace of opposite chirality. General formulae for two-point and three-point correlation functions of quasi-primary superfields are exhibited. The superconformal group in six-dimensions is reduced to a corresponding extended superconformal group in four-dimensions. Superconformally covariant differential operators are also discussed.

[ { "created": "Fri, 24 Jul 1998 12:53:01 GMT", "version": "v1" }, { "created": "Fri, 16 Oct 1998 16:47:21 GMT", "version": "v2" }, { "created": "Thu, 27 May 1999 11:34:10 GMT", "version": "v3" } ]

2016-09-06

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

Superconformal symmetry in six-dimensions is analyzed in terms of coordinate transformations on superspace. A superconformal Killing equation is derived and its solutions are identified in terms of supertranslations, dilations, Lorentz transformations, R-symmetry transformations and special superconformal transformations. The full superconformal symmetry, which is shown to form the group OSp(2,6|N), is possible only if the supersymmetry algebra has N spinorial generators of the same chirality, corresponding to (N,0) supersymmetry. The R-symmetry group is then Sp(N) and the corresponding superspace is R^{6|8N}. We define superinversion as a map to the associated superspace of opposite chirality. General formulae for two-point and three-point correlation functions of quasi-primary superfields are exhibited. The superconformal group in six-dimensions is reduced to a corresponding extended superconformal group in four-dimensions. Superconformally covariant differential operators are also discussed.

6.709255

6.627227

8.272166

6.688729

6.553471

6.6834

6.480916

6.508191

6.583055

8.465441

6.630936

6.361976

6.725355

6.131642

6.484395

6.532407

6.447054

6.296238

6.528409

6.819438

6.430378

hep-th/9707105

George Kraniotis

D. Bailin, G.V. Kraniotis and A. Love

The Supersymmetric CP problem in Orbifold Compactifications

LaTeX file 20 pages,16 ps figures (one figure added), two references added and typos corrected. Submitted to NPB

Nucl.Phys.B518:92-116,1998

10.1016/S0550-3213(98)00006-6

SUSX-TH-97-12

hep-th

null

The possibility of spontaneous breaking of CP symmetry by the expectation values of orbifold moduli is investigated with particular reference to $CP$ violating phases in soft supersymmetry breaking terms. The effect of different mechanisms for stabilizing the dilaton and the form of the non-perturbative superpotential on the existence and size of these phases is studied. Models with modular symmetries which are subgroups of $PSL(2,Z)$, as well as the single overall modulus $T$ case with the full $PSL(2,Z)$ modular symmetry, are discussed. Non-perturbative superpotentials involving the absolute modular invariant $j(T)$, such as may arise from F-theory compactifications, are considered.

[ { "created": "Fri, 11 Jul 1997 01:33:59 GMT", "version": "v1" }, { "created": "Sun, 28 Sep 1997 19:18:38 GMT", "version": "v2" } ]

2014-11-18

[ [ "Bailin", "D.", "" ], [ "Kraniotis", "G. V.", "" ], [ "Love", "A.", "" ] ]

The possibility of spontaneous breaking of CP symmetry by the expectation values of orbifold moduli is investigated with particular reference to $CP$ violating phases in soft supersymmetry breaking terms. The effect of different mechanisms for stabilizing the dilaton and the form of the non-perturbative superpotential on the existence and size of these phases is studied. Models with modular symmetries which are subgroups of $PSL(2,Z)$, as well as the single overall modulus $T$ case with the full $PSL(2,Z)$ modular symmetry, are discussed. Non-perturbative superpotentials involving the absolute modular invariant $j(T)$, such as may arise from F-theory compactifications, are considered.

7.283461

5.196646

7.045702

5.787219

5.672334

6.163604

5.553697

5.690003

5.784445

7.821273

5.775172

6.597975

7.27732

6.902055

6.708994

6.546238

6.710974

6.662825

6.833976

7.05658

6.840589

0705.0980

Simeon Hellerman

Simeon Hellerman, Ian Swanson

Charting the landscape of supercritical string theory

27 pages, 4 figures

Phys.Rev.Lett.99:171601,2007

10.1103/PhysRevLett.99.171601

null

hep-th

null

Special solutions of string theory in supercritical dimensions can interpolate in time between theories with different numbers of spacetime dimensions (via dimension quenching) and different amounts of worldsheet supersymmetry (via c-duality). These solutions connect supercritical string theories to the more familiar string duality web in ten dimensions, and provide a precise link between supersymmetric and purely bosonic string theories. Dimension quenching and c-duality appear to be natural concepts in string theory, giving rise to large networks of interconnected theories. We describe some of these networks in detail and discuss general consistency constraints on the types of transitions that arise in this framework.

[ { "created": "Tue, 8 May 2007 19:53:39 GMT", "version": "v1" } ]

2008-11-26

[ [ "Hellerman", "Simeon", "" ], [ "Swanson", "Ian", "" ] ]

Special solutions of string theory in supercritical dimensions can interpolate in time between theories with different numbers of spacetime dimensions (via dimension quenching) and different amounts of worldsheet supersymmetry (via c-duality). These solutions connect supercritical string theories to the more familiar string duality web in ten dimensions, and provide a precise link between supersymmetric and purely bosonic string theories. Dimension quenching and c-duality appear to be natural concepts in string theory, giving rise to large networks of interconnected theories. We describe some of these networks in detail and discuss general consistency constraints on the types of transitions that arise in this framework.

11.556835

10.402701

12.768977

10.797905

11.464866

12.175104

10.755685

10.342304

10.75666

12.450027

10.826617

10.415185

11.199304

10.287743

10.379714

10.340864

10.541153

10.510287

10.407061

10.811166

10.526015

2204.09394

Michele Arzano

Michele Arzano and Jerzy Kowalski-Glikman

A group theoretic description of the $\kappa$-Poincar\'e Hopf algebra

16 pages, no figures. Minor editing, references added

null

10.1016/j.physletb.2022.137535

null

hep-th gr-qc

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

It is well known in the literature that the momentum space associated to the $\kappa$-Poincar\'e algebra is described by the Lie group $\mathsf{A}\mathsf{N}(3)$. In this letter we show that the full $\kappa$-Poincar\'e Hopf algebra structure can be obtained from rather straightforward group-theoretic manipulations starting from the Iwasawa decomposition of the of the $\mathsf{SO(1,4)}$ group.

[ { "created": "Wed, 20 Apr 2022 11:26:54 GMT", "version": "v1" }, { "created": "Tue, 1 Nov 2022 20:12:55 GMT", "version": "v2" } ]

2022-11-03

[ [ "Arzano", "Michele", "" ], [ "Kowalski-Glikman", "Jerzy", "" ] ]

It is well known in the literature that the momentum space associated to the $\kappa$-Poincar\'e algebra is described by the Lie group $\mathsf{A}\mathsf{N}(3)$. In this letter we show that the full $\kappa$-Poincar\'e Hopf algebra structure can be obtained from rather straightforward group-theoretic manipulations starting from the Iwasawa decomposition of the of the $\mathsf{SO(1,4)}$ group.

6.18197

5.890903

5.631197

5.179501

6.576272

5.300873

5.628094

5.317639

5.133533

5.567826

5.554281

5.67897

5.460071

5.600911

5.627195

5.528072

5.645934

5.669922

5.52524

5.476577

5.531242

1812.04577

Edwin Ireson

Edwin Ireson, Mikhail Shifman, Alexei Yung

Heterotically Deformed Sigma Models on the World Sheet of Semilocal Strings in SQED

Anomalous sentence corrected, prepared to submit to PRD

Phys. Rev. D 99, 085011 (2019)

10.1103/PhysRevD.99.085011

null

hep-th

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

A new two dimensional $\mathcal{N}=(0,2)$ Supersymmetric Non-Linear Sigma Model describes the dynamics of internal moduli of the BPS semi-local vortex string supported in four dimensional $\mathcal{N}=2$ SQED. While the core of these strings is very similar to Abrikosov-Nielsen-Olesen vortices, they are defined with a characteristic size modulus, much like the instanton lump size. This entails that the constituting fields of the vortex do not decay exponentially, as one goes far away from the core of the string, but as a rational function. The appearance of an extra scale in the problem also allows for an explicit, analytic, approximate solution to be written for the BPS equation, surprisingly. Despite the conceptually large differences between semi-local and non-Abelian vortices, it appears that the moduli structures have one main common feature, both undergo the same kind of heterotic deformation when a supersymmetry breaking potential term is added to the spacetime theory, moving from $\mathcal{N}=2$ to $\mathcal{N}=1$. By adding a mass term for the gauge scalar multiplet, a heterotic deformation develops on the worldsheet, which breaks supersymmetry down to $(0,2)$ by coupling supertranslational fermionic zero modes to supersize ones. Such an interaction between zero modes of two different sectors was already hypothesized and subsequently found for non-Abelian strings, providing a neat way of circumventing accidental supersymmetry enhancement via Zumino's theorem. We find that, for small values of the spacetime mass term, an entirely analogous term develops on the worldsheet of semi-local strings.

[ { "created": "Tue, 11 Dec 2018 17:58:48 GMT", "version": "v1" }, { "created": "Mon, 17 Dec 2018 22:40:45 GMT", "version": "v2" } ]

2019-05-01

[ [ "Ireson", "Edwin", "" ], [ "Shifman", "Mikhail", "" ], [ "Yung", "Alexei", "" ] ]

A new two dimensional $\mathcal{N}=(0,2)$ Supersymmetric Non-Linear Sigma Model describes the dynamics of internal moduli of the BPS semi-local vortex string supported in four dimensional $\mathcal{N}=2$ SQED. While the core of these strings is very similar to Abrikosov-Nielsen-Olesen vortices, they are defined with a characteristic size modulus, much like the instanton lump size. This entails that the constituting fields of the vortex do not decay exponentially, as one goes far away from the core of the string, but as a rational function. The appearance of an extra scale in the problem also allows for an explicit, analytic, approximate solution to be written for the BPS equation, surprisingly. Despite the conceptually large differences between semi-local and non-Abelian vortices, it appears that the moduli structures have one main common feature, both undergo the same kind of heterotic deformation when a supersymmetry breaking potential term is added to the spacetime theory, moving from $\mathcal{N}=2$ to $\mathcal{N}=1$. By adding a mass term for the gauge scalar multiplet, a heterotic deformation develops on the worldsheet, which breaks supersymmetry down to $(0,2)$ by coupling supertranslational fermionic zero modes to supersize ones. Such an interaction between zero modes of two different sectors was already hypothesized and subsequently found for non-Abelian strings, providing a neat way of circumventing accidental supersymmetry enhancement via Zumino's theorem. We find that, for small values of the spacetime mass term, an entirely analogous term develops on the worldsheet of semi-local strings.

11.686659

12.320786

12.668436

12.0445

11.832136

12.061208

12.530902

11.362957

11.272936

14.040146

11.302483

11.420117

11.593313

11.321304

11.601658

11.260777

11.16209

11.209005

11.096498

11.511879

11.439724

1805.07881

Alireza Behtash

Alireza Behtash, C. N. Cruz-Camacho, Syo Kamata, M. Martinez

Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma

Published version

Phys. Lett. B 797 (2019) 134914

10.1016/j.physletb.2019.134914

null

hep-th nucl-th

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

For the Bjorken flow we investigate the hydrodynamization of different modes of the one-particle distribution function by analyzing its relativistic kinetic equations. We calculate the constitutive relations of each mode written as a multi-parameter trans-series encoding the non-perturbative dissipative contributions quantified by the Knudsen $Kn$ and inverse Reynolds $Re^{-1}$ numbers. At any given order in the asymptotic expansion of each mode, the transport coefficients get effectively renormalized by summing over all non-perturbative sectors appearing in the trans-series. This gives an effective description of the transport coefficients that provides a new renormalization scheme with an associated renormalization group equation, going beyond the realms of linear response theory. As a result, the renormalized transport coefficients feature a transition to their equilibrium fixed point, which is a neat diagnostics of transient non-Newtonian behavior. As a proof of principle, we verify the predictions of the effective theory with the numerical solutions of their corresponding evolution equations. Our studies strongly suggest that the phenomenological success of fluid dynamics far from local thermal equilibrium is due to the transient rheological behavior of the fluid.

[ { "created": "Mon, 21 May 2018 03:45:23 GMT", "version": "v1" }, { "created": "Sun, 10 Jun 2018 19:11:35 GMT", "version": "v2" }, { "created": "Thu, 19 Sep 2019 22:35:03 GMT", "version": "v3" } ]

2019-09-23

[ [ "Behtash", "Alireza", "" ], [ "Cruz-Camacho", "C. N.", "" ], [ "Kamata", "Syo", "" ], [ "Martinez", "M.", "" ] ]

For the Bjorken flow we investigate the hydrodynamization of different modes of the one-particle distribution function by analyzing its relativistic kinetic equations. We calculate the constitutive relations of each mode written as a multi-parameter trans-series encoding the non-perturbative dissipative contributions quantified by the Knudsen $Kn$ and inverse Reynolds $Re^{-1}$ numbers. At any given order in the asymptotic expansion of each mode, the transport coefficients get effectively renormalized by summing over all non-perturbative sectors appearing in the trans-series. This gives an effective description of the transport coefficients that provides a new renormalization scheme with an associated renormalization group equation, going beyond the realms of linear response theory. As a result, the renormalized transport coefficients feature a transition to their equilibrium fixed point, which is a neat diagnostics of transient non-Newtonian behavior. As a proof of principle, we verify the predictions of the effective theory with the numerical solutions of their corresponding evolution equations. Our studies strongly suggest that the phenomenological success of fluid dynamics far from local thermal equilibrium is due to the transient rheological behavior of the fluid.

12.219986

12.225838

12.182761

10.564866

13.076488

11.574867

11.783786

11.442237

11.022888

13.209631

11.241266

11.314605

11.536059

10.909797

11.282847

11.017662

11.140517

11.039032

10.972726

11.269638

11.419265

hep-th/0606054

Victor N. Pervushin

B.M. Barbashov (JINR), V.N. Pervushin (JINR), A.F. Zakharov (ITEP), V.A. Zinchuk (JINR)

The Hamiltonian approach to General Relativity and CMB primordial spectrum

10 pages, An invitated lecture at the XXVIII 42nd Karpacz Winter School of Theoretical Physics, Ladek, Poland, 6-11 February 2006, "Current mathematical topics in gravitation and cosmology", references added

ECONFC0602061:08,2006; Int.J.Geom.Meth.Mod.Phys.4:171-182,2007

10.1142/S0219887807001916

null

hep-th

null

Approaches to solutions of problems of the energy, time, Hamiltonian operator quantization of the General Relativity, the creation of the Universe from vacuum are considered in the frame of reference associated with the CMB radiation in order to describe parameters of this radiation in terms of the parameters of the Standard Model of elementary particles.

[ { "created": "Wed, 7 Jun 2006 12:09:04 GMT", "version": "v1" }, { "created": "Thu, 8 Jun 2006 10:08:52 GMT", "version": "v2" } ]

2008-11-26

[ [ "Barbashov", "B. M.", "", "JINR" ], [ "Pervushin", "V. N.", "", "JINR" ], [ "Zakharov", "A. F.", "", "ITEP" ], [ "Zinchuk", "V. A.", "", "JINR" ] ]

Approaches to solutions of problems of the energy, time, Hamiltonian operator quantization of the General Relativity, the creation of the Universe from vacuum are considered in the frame of reference associated with the CMB radiation in order to describe parameters of this radiation in terms of the parameters of the Standard Model of elementary particles.

19.436911

17.014427

18.425058

15.480229

17.729483

19.226183

23.512613

19.31259

17.765881

17.999331

17.047918

16.86054

15.283098

16.059168

16.679073

16.801504

16.933134

16.490618

16.941397

16.225872

17.202143

hep-th/0309272

Sylvain Ribault

Cordes et D-branes dans les espaces-temps courbes

PhD thesis in French, defended 20/06/2003, 133 pages, 22 (v2: centered) figures

null

hep-th

null

This thesis is devoted to the construction and study of D-branes in some curved space-times in string theory. On the one hand, those D-branes are described geometrically as submanifolds subject to Born-Infeld effective dynamics. On the other hand, they can be built microscopically using boundary conformal field theory. We use and compare those two approaches. We also improve them technically : we rewrite Born-Infeld dynamics in a gauge-invariant way, and formulate precise analyticity requirements for the density of open strings on certain D-branes. Our results include the effective description of symmetric D-branes in compact groups, the determination of the complete spectrum of open strings on AdS2 D-branes in AdS3, the exact construction of some D-branes in the cigar SL(2)/U(1), and a geometric description of all D3-branes in NS5-brane backgrounds.

[ { "created": "Tue, 30 Sep 2003 19:36:35 GMT", "version": "v1" }, { "created": "Fri, 10 Oct 2003 17:06:02 GMT", "version": "v2" } ]

2007-05-23

[ [ "Ribault", "Sylvain", "" ] ]

This thesis is devoted to the construction and study of D-branes in some curved space-times in string theory. On the one hand, those D-branes are described geometrically as submanifolds subject to Born-Infeld effective dynamics. On the other hand, they can be built microscopically using boundary conformal field theory. We use and compare those two approaches. We also improve them technically : we rewrite Born-Infeld dynamics in a gauge-invariant way, and formulate precise analyticity requirements for the density of open strings on certain D-branes. Our results include the effective description of symmetric D-branes in compact groups, the determination of the complete spectrum of open strings on AdS2 D-branes in AdS3, the exact construction of some D-branes in the cigar SL(2)/U(1), and a geometric description of all D3-branes in NS5-brane backgrounds.

8.075234

7.051002

9.087479

7.464495

8.122092

7.798703

7.283182

7.37728

7.203871

10.09578

7.216788

7.562847

8.153223

7.688536

7.997685

7.77687

7.578518

7.617946

7.611165

8.362711

7.619897

1401.2579

Koushik Dutta

Michele Cicoli, Koushik Dutta, Anshuman Maharana

N-flation with Hierarchically Light Axions in String Compactifications

28 pages, no figures, Journal version

JCAP 1408 (2014) 012

10.1088/1475-7516/2014/08/012

HRI/ST1402, SINP/TNP/2014/19

hep-th astro-ph.CO hep-ph

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

We present an explicit embedding of axionic N-flation in type IIB string compactifications where most of the Kahler moduli are stabilised by perturbative effects, and so are hierarchically heavier than the corresponding N >> 1 axions whose collective dynamics drives inflation. This is achieved in the framework of the LARGE Volume Scenario for moduli stabilisation. Our set-up can be used to realise a model of either inflation or quintessence, just by varying the volume of the internal space which controls the scale of the axionic potential. Both cases predict a very high scale of supersymmetry breaking. A viable reheating of the Standard Model degrees of freedom can be achieved after the end of inflation due to the perturbative decay of the N light axions which drive inflation.

[ { "created": "Sun, 12 Jan 2014 00:00:22 GMT", "version": "v1" }, { "created": "Thu, 23 Jul 2015 10:21:36 GMT", "version": "v2" } ]

2015-07-24

[ [ "Cicoli", "Michele", "" ], [ "Dutta", "Koushik", "" ], [ "Maharana", "Anshuman", "" ] ]

We present an explicit embedding of axionic N-flation in type IIB string compactifications where most of the Kahler moduli are stabilised by perturbative effects, and so are hierarchically heavier than the corresponding N >> 1 axions whose collective dynamics drives inflation. This is achieved in the framework of the LARGE Volume Scenario for moduli stabilisation. Our set-up can be used to realise a model of either inflation or quintessence, just by varying the volume of the internal space which controls the scale of the axionic potential. Both cases predict a very high scale of supersymmetry breaking. A viable reheating of the Standard Model degrees of freedom can be achieved after the end of inflation due to the perturbative decay of the N light axions which drive inflation.

8.408067

8.096226

8.329638

7.617017

8.454891

7.821393

7.857428

7.606727

7.529559

7.81126

7.778901

8.130071

8.245198

7.804108

8.134564

7.925112

7.861029

7.911757

7.784015

7.942153

7.878894

2009.12726

Yubo Ma

Yubo Ma, Yang Zhang, Lichun Zhang, Liang Wu, Ying Gao, Shuo Cao, Yu Pan

Phase transition and entropic force of de Sitter black hole in massive gravity

14 pages,11 figures

null

10.1140/epjc/s10052-021-08842-1

null

hep-th

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

It is well known that de Sitter(dS) black holes generally have a black hole horizon and a cosmological horizon, both of which have Hawking radiation. But the radiation temperature of the two horizons is generally different, so dS black holes do not meet the requirements of thermal equilibrium stability, which brings certain difficulties to the study of the thermodynamic characteristics of black holes. In this paper, dS black hole is regarded as a thermodynamic system, and the effective thermodynamic quantities of the system are obtained. The influence of various state parameters on the effective thermodynamic quantities in the massive gravity space-time is discussed. The condition of the phase transition of the de Sitter black hole in massive gravity space-time is given. We consider that the total entropy of the dS black hole is the sum of the corresponding entropy of the two horizons plus an extra term from the correlation of the two horizons. By comparing the entropic force of interaction between black hole horizon and the cosmological horizon with Lennard-Jones force between two particles, we find that the change rule of entropic force between the two system is surprisingly the same. The research will help us to explore the real reason of accelerating expansion of the universe.

[ { "created": "Sun, 27 Sep 2020 02:09:50 GMT", "version": "v1" }, { "created": "Tue, 13 Oct 2020 08:23:31 GMT", "version": "v2" } ]

2021-02-03

[ [ "Ma", "Yubo", "" ], [ "Zhang", "Yang", "" ], [ "Zhang", "Lichun", "" ], [ "Wu", "Liang", "" ], [ "Gao", "Ying", "" ], [ "Cao", "Shuo", "" ], [ "Pan", "Yu", "" ] ]

It is well known that de Sitter(dS) black holes generally have a black hole horizon and a cosmological horizon, both of which have Hawking radiation. But the radiation temperature of the two horizons is generally different, so dS black holes do not meet the requirements of thermal equilibrium stability, which brings certain difficulties to the study of the thermodynamic characteristics of black holes. In this paper, dS black hole is regarded as a thermodynamic system, and the effective thermodynamic quantities of the system are obtained. The influence of various state parameters on the effective thermodynamic quantities in the massive gravity space-time is discussed. The condition of the phase transition of the de Sitter black hole in massive gravity space-time is given. We consider that the total entropy of the dS black hole is the sum of the corresponding entropy of the two horizons plus an extra term from the correlation of the two horizons. By comparing the entropic force of interaction between black hole horizon and the cosmological horizon with Lennard-Jones force between two particles, we find that the change rule of entropic force between the two system is surprisingly the same. The research will help us to explore the real reason of accelerating expansion of the universe.

6.549071

6.770166

6.52106

6.200016

6.655705

6.482821

7.068627

6.352809

6.627481

7.089981

6.601383

6.56752

6.491729

6.399664

6.469202

6.551255

6.617706

6.435888

6.574302

6.447052

6.523443

1609.01725

Matthias Kaminski

Gerard 't Hooft, Steven B. Giddings, Carlo Rovelli, Piero Nicolini, Jonas Mureika, Matthias Kaminski, and Marcus Bleicher

The Good, the Bad, and the Ugly of Gravity and Information

23 pages, 1 figure, panel discussion held at the 2nd Karl Schwarzschild Meeting, Frankfurt am Main, Germany, July 2015; to be published in Springer Proceedings in Physics

null

hep-th gr-qc

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

Various contenders for a complete theory of quantum gravity are at odds with each other. This is in particular seen in the ways they relate to information and black holes, and how to effectively treat quantization of the background spacetime. Modern perspectives on black hole evaporation suggest that quantum gravity effects in the near-horizon region can perturb the local geometry. The approaches differ, however, in the time scale on which one can expect these effects to become important. This panel session presents three points of view on these problems, and considers the ultimate prospect of observational tests in the near future.

[ { "created": "Tue, 6 Sep 2016 20:00:04 GMT", "version": "v1" } ]

2016-09-08

[ [ "Hooft", "Gerard 't", "" ], [ "Giddings", "Steven B.", "" ], [ "Rovelli", "Carlo", "" ], [ "Nicolini", "Piero", "" ], [ "Mureika", "Jonas", "" ], [ "Kaminski", "Matthias", "" ], [ "Bleicher", "Marcus", "" ] ]

Various contenders for a complete theory of quantum gravity are at odds with each other. This is in particular seen in the ways they relate to information and black holes, and how to effectively treat quantization of the background spacetime. Modern perspectives on black hole evaporation suggest that quantum gravity effects in the near-horizon region can perturb the local geometry. The approaches differ, however, in the time scale on which one can expect these effects to become important. This panel session presents three points of view on these problems, and considers the ultimate prospect of observational tests in the near future.

15.254165

14.774681

14.020077

13.566507

15.663342

14.542198

15.724184

13.79248

13.259044

13.349635

13.413914

13.879316

13.902897

14.085507

14.203582

14.03453

14.041318

13.38393

13.770102

13.700899

13.840668

2205.02256

David Grabovsky

David Berenstein, David Grabovsky, and Ziyi Li

Aspects of Holography in Conical $AdS_3$

33 pages, 5 figures, JHEP style. v2: Section 4 was rewritten: an error was corrected that arose from using an approximation that did not apply. The crossing relations are now verified to all orders and do not present a puzzle any longer. The conclusions are updated based on the new calculations. Figures and references added. v3: Number of typos reduced. Supersedes the published version

null

10.1007/JHEP04(2023)029

null

hep-th gr-qc

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

We study the Feynman propagator of free scalar fields in $AdS_3$ with a conical defect. The propagator is built by solving the bulk equation of motion, summing over the modes of the field, and taking the boundary limit. We then perform several consistency checks. In the dual CFT, the operator responsible for the defect creates a highly excited state. We consider the exchange of the Virasoro identity block in the heavy-light limit to obtain an expression for the propagator sensitive to the mass of the defect. In $AdS_3/\mathbb{Z}_n$, we treat the propagator by the method of images and in the geodesic approximation. More generally, we argue that long-range correlations of the scalar are suppressed as the defect becomes more massive: we find a continuous phase transition in the correlator at the BTZ threshold and examine its critical behavior. Finally, we apply our results to holographic entanglement entropy using an analogy between our scalars and replica twist fields.

[ { "created": "Wed, 4 May 2022 18:01:02 GMT", "version": "v1" }, { "created": "Thu, 16 Feb 2023 18:04:30 GMT", "version": "v2" }, { "created": "Fri, 26 Apr 2024 21:14:30 GMT", "version": "v3" } ]

2024-04-30

[ [ "Berenstein", "David", "" ], [ "Grabovsky", "David", "" ], [ "Li", "Ziyi", "" ] ]

We study the Feynman propagator of free scalar fields in $AdS_3$ with a conical defect. The propagator is built by solving the bulk equation of motion, summing over the modes of the field, and taking the boundary limit. We then perform several consistency checks. In the dual CFT, the operator responsible for the defect creates a highly excited state. We consider the exchange of the Virasoro identity block in the heavy-light limit to obtain an expression for the propagator sensitive to the mass of the defect. In $AdS_3/\mathbb{Z}_n$, we treat the propagator by the method of images and in the geodesic approximation. More generally, we argue that long-range correlations of the scalar are suppressed as the defect becomes more massive: we find a continuous phase transition in the correlator at the BTZ threshold and examine its critical behavior. Finally, we apply our results to holographic entanglement entropy using an analogy between our scalars and replica twist fields.

10.067512

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9.682366

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hep-th/0611140

Dumitru Astefanesei

Dumitru Astefanesei, Kevin Goldstein, and Swapna Mahapatra

Moduli and (un)attractor black hole thermodynamics

36 pages, no figures, V2: minor changes, misprints corrected, expanded references; V3: sections 4.3 and 4.5 added; V4: minor changes, matches the published version

Gen.Rel.Grav.40:2069-2105,2008

10.1007/s10714-008-0616-6

null

hep-th gr-qc

null

We investigate four-dimensional spherically symmetric black hole solutions in gravity theories with massless, neutral scalars non-minimally coupled to gauge fields. In the non-extremal case, we explicitly show that, under the variation of the moduli, the scalar charges appear in the first law of black hole thermodynamics. In the extremal limit, the near horizon geometry is $AdS_2\times S^2$ and the entropy does not depend on the values of moduli at infinity. We discuss the attractor behaviour by using Sen's entropy function formalism as well as the effective potential approach and their relation with the results previously obtained through special geometry method. We also argue that the attractor mechanism is at the basis of the matching between the microscopic and macroscopic entropies for the extremal non-BPS Kaluza-Klein black hole.

[ { "created": "Tue, 14 Nov 2006 20:26:53 GMT", "version": "v1" }, { "created": "Sun, 4 Mar 2007 07:21:49 GMT", "version": "v2" }, { "created": "Thu, 5 Jul 2007 17:09:09 GMT", "version": "v3" }, { "created": "Fri, 18 Jan 2008 10:10:24 GMT", "version": "v4" } ]

2008-11-26

[ [ "Astefanesei", "Dumitru", "" ], [ "Goldstein", "Kevin", "" ], [ "Mahapatra", "Swapna", "" ] ]

We investigate four-dimensional spherically symmetric black hole solutions in gravity theories with massless, neutral scalars non-minimally coupled to gauge fields. In the non-extremal case, we explicitly show that, under the variation of the moduli, the scalar charges appear in the first law of black hole thermodynamics. In the extremal limit, the near horizon geometry is $AdS_2\times S^2$ and the entropy does not depend on the values of moduli at infinity. We discuss the attractor behaviour by using Sen's entropy function formalism as well as the effective potential approach and their relation with the results previously obtained through special geometry method. We also argue that the attractor mechanism is at the basis of the matching between the microscopic and macroscopic entropies for the extremal non-BPS Kaluza-Klein black hole.

6.67688

5.80348

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5.47685

6.173706

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6.261779

6.308927

6.090303

6.162988

6.13749

6.167861

6.586833

6.003299

1507.02684

Fotios Dimitrakopoulos

Fotios Dimitrakopoulos and I-Sheng Yang

Conditionally Extended Validity of Perturbation Theory: Persistence of AdS Stability Islands

19 pages, 1 figure, V2: Resubmitted to match the journal version

Phys. Rev. D 92, 083013 (2015)

10.1103/PhysRevD.92.083013

null

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

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

Approximating nonlinear dynamics with a truncated perturbative expan- sion may be accurate for a while, but it in general breaks down at a long time scale that is one over the small expansion parameter. There are interesting occasions in which such breakdown does not happen. We provide a mathematically general and precise definition of those occasions, in which we prove that the validity of truncated theory trivially extends to the long time scale. This enables us to utilize numerical results, which are only obtainable within finite times, to legitimately predict the dynamic when the expansion parameter goes to zero, thus the long time scale goes to infinity. In particular, this shows that existing non-collapsing solutions in the AdS (in)stability problem persist to the zero-amplitude limit, opposing the conjecture by Dias, Horowitz, Marolf and Santos that predicts a shrinkage to measure-zero [1]. We also point out why the persistence of collapsing solutions is harder to prove, and how the recent interesting progress by Bizon, Maliborski and Rostoworowski is not there yet [2].

[ { "created": "Thu, 9 Jul 2015 20:00:30 GMT", "version": "v1" }, { "created": "Mon, 19 Dec 2016 16:09:33 GMT", "version": "v2" } ]

2016-12-20

[ [ "Dimitrakopoulos", "Fotios", "" ], [ "Yang", "I-Sheng", "" ] ]

Approximating nonlinear dynamics with a truncated perturbative expan- sion may be accurate for a while, but it in general breaks down at a long time scale that is one over the small expansion parameter. There are interesting occasions in which such breakdown does not happen. We provide a mathematically general and precise definition of those occasions, in which we prove that the validity of truncated theory trivially extends to the long time scale. This enables us to utilize numerical results, which are only obtainable within finite times, to legitimately predict the dynamic when the expansion parameter goes to zero, thus the long time scale goes to infinity. In particular, this shows that existing non-collapsing solutions in the AdS (in)stability problem persist to the zero-amplitude limit, opposing the conjecture by Dias, Horowitz, Marolf and Santos that predicts a shrinkage to measure-zero [1]. We also point out why the persistence of collapsing solutions is harder to prove, and how the recent interesting progress by Bizon, Maliborski and Rostoworowski is not there yet [2].

16.192266

18.921202

19.664474

18.159121

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20.409637

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16.81118

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16.443872

17.058901

16.320469

1608.08274

Kamil Bradler

Unitary evolution of a pair of Unruh-DeWitt detectors calculated efficiently to an arbitrary perturbative order

v3: The results included in arXiv:1703.02153

null

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

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

Unruh-DeWitt Hamiltonian couples a scalar field with a two-level atom serving as a particle detector model. Two such detectors held by different observers following general trajectories can be used to study entanglement behavior in quantum field theory. Lacking other methods, the unitary evolution must be studied perturbatively which is considerably time-consuming even to a low perturbative order. Here we completely solve the problem and present a simple algorithm for a perturbative calculation based on a solution of a system of linear Diophantine equations. The algorithm runs polynomially with the perturbative order. This should be contrasted with the number of perturbative contributions of the scalar phi^4 theory that is known to grow factorially. Speaking of the phi^4 model, a welcome collateral result is obtained to mechanically (almost mindlessly) calculate the interacting scalar phi^n theory without resorting to Feynman diagrams. We demonstrate it on a typical textbook example of two interacting fields for n=3,4.

[ { "created": "Mon, 29 Aug 2016 22:36:54 GMT", "version": "v1" }, { "created": "Fri, 21 Oct 2016 18:03:30 GMT", "version": "v2" }, { "created": "Wed, 7 Feb 2018 17:27:49 GMT", "version": "v3" } ]

2018-02-08

[ [ "Bradler", "Kamil", "" ] ]

Unruh-DeWitt Hamiltonian couples a scalar field with a two-level atom serving as a particle detector model. Two such detectors held by different observers following general trajectories can be used to study entanglement behavior in quantum field theory. Lacking other methods, the unitary evolution must be studied perturbatively which is considerably time-consuming even to a low perturbative order. Here we completely solve the problem and present a simple algorithm for a perturbative calculation based on a solution of a system of linear Diophantine equations. The algorithm runs polynomially with the perturbative order. This should be contrasted with the number of perturbative contributions of the scalar phi^4 theory that is known to grow factorially. Speaking of the phi^4 model, a welcome collateral result is obtained to mechanically (almost mindlessly) calculate the interacting scalar phi^n theory without resorting to Feynman diagrams. We demonstrate it on a typical textbook example of two interacting fields for n=3,4.

14.588767

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14.925324

14.926464

14.63269

15.389468

14.818941

14.645339

14.559176

15.05325

14.280103

1205.0176

Radu Roiban

R. Roiban, A.A. Tseytlin

On duality symmetry in perturbative quantum theory

21 pages, Latex v2: comments and references added v3: references and minor comments added

null

10.1007/JHEP10(2012)099

null

hep-th

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

Non-compact symmetries of extended 4d supergravities involve duality rotations of vectors and thus are not manifest off-shell invariances in standard "second-order" formulation. To study how such symmetries are realised in the quantum theory we consider examples in 2 dimensions where vector-vector duality is replaced by scalar-scalar one. Using a "doubled" formulation, where fields and their momenta are treated on an equal footing and the duality becomes a manifest symmetry of the action (at the expense of Lorentz symmetry), we argue that the corresponding on-shell quantum effective action or S-matrix are duality symmetric as well as Lorentz invariant. The simplest case of discrete Z_2 duality corresponds to a symmetry of the S-matrix under flipping the sign of the negative-chirality scalars in 2 dimensions or phase rotations of chiral (definite-helicity) parts of vectors in 4 dimensions. We also briefly discuss some 4d models and comment on implications of our analysis for extended supergravities.

[ { "created": "Tue, 1 May 2012 14:39:12 GMT", "version": "v1" }, { "created": "Fri, 11 May 2012 22:08:07 GMT", "version": "v2" }, { "created": "Wed, 7 Nov 2012 23:26:46 GMT", "version": "v3" } ]

2015-06-05

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

Non-compact symmetries of extended 4d supergravities involve duality rotations of vectors and thus are not manifest off-shell invariances in standard "second-order" formulation. To study how such symmetries are realised in the quantum theory we consider examples in 2 dimensions where vector-vector duality is replaced by scalar-scalar one. Using a "doubled" formulation, where fields and their momenta are treated on an equal footing and the duality becomes a manifest symmetry of the action (at the expense of Lorentz symmetry), we argue that the corresponding on-shell quantum effective action or S-matrix are duality symmetric as well as Lorentz invariant. The simplest case of discrete Z_2 duality corresponds to a symmetry of the S-matrix under flipping the sign of the negative-chirality scalars in 2 dimensions or phase rotations of chiral (definite-helicity) parts of vectors in 4 dimensions. We also briefly discuss some 4d models and comment on implications of our analysis for extended supergravities.

10.225077

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12.836098

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9.975154

9.835594

9.92393

9.745634

9.889501

9.570917

9.88558

10.113594

9.556674

hep-th/0209085

Leonid Chekhov

L.Chekhov and A.Mironov

Matrix models vs. Seiberg-Witten/Whitham theories

8 pages in LaTeX, 1 LaTeX figure, reference added

Phys.Lett. B552 (2003) 293-302

10.1016/S0370-2693(02)03163-5

FIAN/TD-21/02, ITEP/TH-40/02

hep-th

null

We discuss the relation between matrix models and the Seiberg--Witten type (SW) theories, recently proposed by Dijkgraaf and Vafa. In particular, we prove that the partition function of the Hermitean one-matrix model in the planar (large $N$) limit coincides with the prepotential of the corresponding SW theory. This partition function is the logarithm of a Whitham $\tau$-function. The corresponding Whitham hierarchy is explicitly constructed. The double-point problem is solved.

[ { "created": "Tue, 10 Sep 2002 13:10:09 GMT", "version": "v1" }, { "created": "Mon, 7 Oct 2002 09:37:15 GMT", "version": "v2" } ]

2010-04-05

[ [ "Chekhov", "L.", "" ], [ "Mironov", "A.", "" ] ]

We discuss the relation between matrix models and the Seiberg--Witten type (SW) theories, recently proposed by Dijkgraaf and Vafa. In particular, we prove that the partition function of the Hermitean one-matrix model in the planar (large $N$) limit coincides with the prepotential of the corresponding SW theory. This partition function is the logarithm of a Whitham $\tau$-function. The corresponding Whitham hierarchy is explicitly constructed. The double-point problem is solved.

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