LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

0912.3840

Guglielmo Fucci Dr.

Guglielmo Fucci and Klaus Kirsten

Small Mass Expansion of Functional Determinants on the Generalized Cone

LaTeX, 23 pages

J.Phys.A43:365204,2010

10.1088/1751-8113/43/36/365204

null

hep-th

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

In this paper we compute the small mass expansion for the functional determinant of a scalar Laplacian defined on the bounded, generalized cone. In the framework of zeta function regularization, we obtain an expression for the functional determinant valid in any dimension for both Dirichlet and Robin boundary conditions in terms of the spectral zeta function of the base manifold. Moreover, as a particular case, we specify the base to be a $d$-dimensional sphere and present explicit results for $d=2,3,4,5$.

[ { "created": "Fri, 18 Dec 2009 23:38:22 GMT", "version": "v1" } ]

2014-11-20

[ [ "Fucci", "Guglielmo", "" ], [ "Kirsten", "Klaus", "" ] ]

In this paper we compute the small mass expansion for the functional determinant of a scalar Laplacian defined on the bounded, generalized cone. In the framework of zeta function regularization, we obtain an expression for the functional determinant valid in any dimension for both Dirichlet and Robin boundary conditions in terms of the spectral zeta function of the base manifold. Moreover, as a particular case, we specify the base to be a $d$-dimensional sphere and present explicit results for $d=2,3,4,5$.

7.050435

5.873447

7.624523

6.026186

6.294355

5.78797

6.053642

5.646909

5.844852

7.748963

5.830646

6.257763

6.732238

6.447543

6.284335

6.184018

6.168298

6.023128

6.116258

6.741552

6.088817

2010.14996

Timothy Adamo

Tim Adamo, Lionel Mason, Atul Sharma

Gluon scattering on self-dual radiative gauge fields

44 pages, no figures. v2: minor improvements in Sections 3 and 4

Commun.Math.Phys. 399: 1731-1771, 2023

10.1007/s00220-022-04582-9

null

hep-th

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

We present all-multiplicity formulae, derived from first principles in the MHV sector and motivated by twistor string theory for general helicities, for the tree-level S-matrix of gluon scattering on self-dual radiative backgrounds. These backgrounds are chiral, asymptotically flat gauge fields characterised by their free radiative data, and their underlying integrability is captured by twistor theory. Tree-level gluon scattering scattering amplitudes are expressed as integrals over the moduli space of holomorphic maps from the Riemann sphere to twistor space, with the degree of the map related to the helicity configuration of the external gluons. In the MHV sector, our formula is derived from the Yang-Mills action; for general helicities the formulae are obtained using a background-coupled twistor string theory and pass several consistency tests. Unlike amplitudes on a trivial vacuum, there are residual integrals due to the functional freedom in the self-dual background, but for scattering of momentum eigenstates we are able to do many of these explicitly and even more is possible in the special case of plane wave backgrounds. In general, the number of these integrals is always less than expected from standard perturbation theory, but matches the number associated with space-time MHV rules in a self-dual background field, which we develop for self-dual plane waves.

[ { "created": "Wed, 28 Oct 2020 14:11:11 GMT", "version": "v1" }, { "created": "Thu, 17 Nov 2022 20:13:54 GMT", "version": "v2" } ]

2023-05-11

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

We present all-multiplicity formulae, derived from first principles in the MHV sector and motivated by twistor string theory for general helicities, for the tree-level S-matrix of gluon scattering on self-dual radiative backgrounds. These backgrounds are chiral, asymptotically flat gauge fields characterised by their free radiative data, and their underlying integrability is captured by twistor theory. Tree-level gluon scattering scattering amplitudes are expressed as integrals over the moduli space of holomorphic maps from the Riemann sphere to twistor space, with the degree of the map related to the helicity configuration of the external gluons. In the MHV sector, our formula is derived from the Yang-Mills action; for general helicities the formulae are obtained using a background-coupled twistor string theory and pass several consistency tests. Unlike amplitudes on a trivial vacuum, there are residual integrals due to the functional freedom in the self-dual background, but for scattering of momentum eigenstates we are able to do many of these explicitly and even more is possible in the special case of plane wave backgrounds. In general, the number of these integrals is always less than expected from standard perturbation theory, but matches the number associated with space-time MHV rules in a self-dual background field, which we develop for self-dual plane waves.

9.884781

8.962849

11.560561

9.239637

9.390635

9.54317

9.503248

9.403022

9.637426

12.344755

9.349224

10.063077

9.810467

9.454754

9.851863

10.009444

10.215948

9.93862

9.612505

9.855573

9.694641

hep-th/9902037

Jerzy Lukierski

P. Kosi\'nski, J. Lukierski and P. Ma\'slanka

Local D=4 Field Theory on $\kappa$--Deformed Minkowski Space

revtex, 2 figures.The text has been enlarged by two pages, mostly the explicite description of local scalar field on $kappa$-deformed Minkowski space has been extended. One figure added

Phys.Rev.D62:025004,2000

10.1103/PhysRevD.62.025004

FTUV/99-05 and IFIC/99-05 January 27, 1999

hep-th

null

We describe the local D=4 field theory on $\kappa$--deformed Minkowski space as nonlocal relativistic field theory on standard Minkowski space--time. For simplicity the case of $\kappa$-deformed scalar field $\phi$ with the interaction $\lambda \phi^{4}$ is considered, and the $\kappa$--deformed interaction vertex is described. It appears that fundamental mass parameter $\kappa$ plays a role of regularizing imaginary Pauli--Villars mass in $\kappa$--deformed propagator.

[ { "created": "Thu, 4 Feb 1999 14:49:29 GMT", "version": "v1" }, { "created": "Fri, 16 Jul 1999 10:27:17 GMT", "version": "v2" } ]

2016-08-15

[ [ "Kosiński", "P.", "" ], [ "Lukierski", "J.", "" ], [ "Maślanka", "P.", "" ] ]

We describe the local D=4 field theory on $\kappa$--deformed Minkowski space as nonlocal relativistic field theory on standard Minkowski space--time. For simplicity the case of $\kappa$-deformed scalar field $\phi$ with the interaction $\lambda \phi^{4}$ is considered, and the $\kappa$--deformed interaction vertex is described. It appears that fundamental mass parameter $\kappa$ plays a role of regularizing imaginary Pauli--Villars mass in $\kappa$--deformed propagator.

7.789562

7.017353

7.974294

6.924915

7.371029

7.245564

6.986183

7.437144

7.110024

8.82582

7.271023

7.119139

8.013917

7.346422

7.416195

7.275231

7.134814

7.533567

7.22561

7.475983

7.287276

hep-th/0508012

Ioannis Zois

I.P. Zois

A Note on the Symmetries and Renormalisability of (Quantum) Gravity

21 pages, tex, some clarifications on K-group actions, references added

null

SMA-CU-0508

hep-th

null

We make some remarks on the group of symmetries in gravity; we believe that K-theory and noncommutative geometry inescepably have to play an important role. Furthermore we make some comments and questions on the recent work of Connes and Kreimer on renormalisation, the Riemann-Hilbert correspondence and their relevance to quantum gravity.

[ { "created": "Mon, 1 Aug 2005 15:31:51 GMT", "version": "v1" }, { "created": "Sat, 15 Oct 2005 13:09:46 GMT", "version": "v2" }, { "created": "Wed, 15 Mar 2006 09:37:20 GMT", "version": "v3" } ]

2007-05-23

[ [ "Zois", "I. P.", "" ] ]

We make some remarks on the group of symmetries in gravity; we believe that K-theory and noncommutative geometry inescepably have to play an important role. Furthermore we make some comments and questions on the recent work of Connes and Kreimer on renormalisation, the Riemann-Hilbert correspondence and their relevance to quantum gravity.

14.057936

12.902144

14.232531

12.559374

13.599909

13.181456

13.501494

12.057623

12.44593

13.34933

12.523605

12.301023

12.585422

12.348944

12.335396

11.861284

12.162055

11.806997

11.842167

12.486514

12.186428

hep-th/0210299

Y. M. Cho

W. S. Bae and Y. M. Cho

Finite Energy Electroweak Dyon

28 pages, 4 figures

J.Korean Phys.Soc. 46 (2005) 791-804

null

hep-th

null

We present finite energy analytic monopole and dyon solutions whose size is fixed by the electroweak scale. We discuss two types of solutions. The first type is obtained by regularizing the recent solutions of Cho and Maison by modifying the coupling strength of the quartic self-interaction of $W$-boson in Weinberg-Salam model. The second is obtained by enlarging the gauge group $SU(2) \times U(1)$ to $SU(2) \times SU(2)$. Our result demonstrates that one could actually construct genuine electroweak monopole and dyon whose mass scale is much smaller than the grand unification scale, with a minor modification of the electroweak interaction without compromizing the underlying gauge invariance.

[ { "created": "Thu, 31 Oct 2002 01:43:15 GMT", "version": "v1" }, { "created": "Thu, 15 May 2003 13:13:34 GMT", "version": "v2" } ]

2007-05-23

[ [ "Bae", "W. S.", "" ], [ "Cho", "Y. M.", "" ] ]

We present finite energy analytic monopole and dyon solutions whose size is fixed by the electroweak scale. We discuss two types of solutions. The first type is obtained by regularizing the recent solutions of Cho and Maison by modifying the coupling strength of the quartic self-interaction of $W$-boson in Weinberg-Salam model. The second is obtained by enlarging the gauge group $SU(2) \times U(1)$ to $SU(2) \times SU(2)$. Our result demonstrates that one could actually construct genuine electroweak monopole and dyon whose mass scale is much smaller than the grand unification scale, with a minor modification of the electroweak interaction without compromizing the underlying gauge invariance.

7.870532

6.71408

7.321918

6.084167

6.827498

6.493906

7.060122

6.724964

6.374197

7.043042

6.89936

6.898161

6.916468

6.917319

7.191256

7.38189

7.031856

7.081169

6.882586

7.12469

7.010157

hep-th/0202127

Jan Pieter van der Schaar

Finn Larsen, Jan Pieter van der Schaar, Robert G. Leigh

De Sitter Holography and the Cosmic Microwave Background

17 pages, 2 figures, uses JHEP style files; corrected and added references

JHEP 0204 (2002) 047

10.1088/1126-6708/2002/04/047

MCTP-02-09,ILL-(TH)-02-02

hep-th astro-ph

null

We interpret cosmological evolution holographically as a renormalisation group flow in a dual Euclidean field theory, as suggested by the conjectured dS/CFT correspondence. Inflation is described by perturbing around the infra-red fixed point of the dual field theory. The spectrum of the cosmic microwave background radiation is determined in terms of scaling violations in the field theory. The dark energy allows similar, albeit less predictive, considerations. We discuss the cosmological fine-tuning problems from the holographic perspective.

[ { "created": "Wed, 20 Feb 2002 18:34:14 GMT", "version": "v1" }, { "created": "Fri, 8 Mar 2002 19:17:49 GMT", "version": "v2" } ]

2009-11-07

[ [ "Larsen", "Finn", "" ], [ "van der Schaar", "Jan Pieter", "" ], [ "Leigh", "Robert G.", "" ] ]

We interpret cosmological evolution holographically as a renormalisation group flow in a dual Euclidean field theory, as suggested by the conjectured dS/CFT correspondence. Inflation is described by perturbing around the infra-red fixed point of the dual field theory. The spectrum of the cosmic microwave background radiation is determined in terms of scaling violations in the field theory. The dark energy allows similar, albeit less predictive, considerations. We discuss the cosmological fine-tuning problems from the holographic perspective.

9.849653

9.135413

11.097623

8.932977

9.143266

9.7772

8.881962

9.363136

8.729745

10.434342

8.76764

9.210238

9.165715

8.966734

9.111362

9.201009

8.963698

9.037436

9.0747

9.872133

8.940743

1608.00883

Fei Teng

Yi-Jian Du, Fei Teng and Yong-Shi Wu

Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism

26 pages, 1 figure; v2: some typo corrected, more references added, published version

JHEP 09 (2016) 171

10.1007/JHEP09(2016)171

null

hep-th

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

In this paper we extend our techniques, developed in a previous paper (Du, etc, JHEP 05(2016)086) for direct evaluation of arbitrary $n$-point tree-level MHV amplitudes in 4d Yang-Mills and gravity theory using the Cachazo-He-Yuan (CHY) formalism, to the 4d Einstein-Yang-Mills (EYM) theory. Any single-trace color-ordered $n$-point tree-level MHV amplitude in EYM theory, obtained by a direct evaluation of the CHY formula, is of an elegant factorized form of a Parke-Taylor factor and a Hodges determinant, much simpler and more compact than the existing formulas in the literature. We prove that our new expression is equivalent to the conjectured Selivanov-Bern-De Freitas-Wong (SBDW) formula, with the help of a new theorem showing that the SBDW generating function has a graph theory interpretation. Together with Ref. (Du, etc, JHEP 05(2016)086), we provide strong analytic evidence for hidden simplicity in quantum field theory.

[ { "created": "Tue, 2 Aug 2016 16:14:52 GMT", "version": "v1" }, { "created": "Fri, 30 Sep 2016 15:04:42 GMT", "version": "v2" } ]

2016-10-03

[ [ "Du", "Yi-Jian", "" ], [ "Teng", "Fei", "" ], [ "Wu", "Yong-Shi", "" ] ]

In this paper we extend our techniques, developed in a previous paper (Du, etc, JHEP 05(2016)086) for direct evaluation of arbitrary $n$-point tree-level MHV amplitudes in 4d Yang-Mills and gravity theory using the Cachazo-He-Yuan (CHY) formalism, to the 4d Einstein-Yang-Mills (EYM) theory. Any single-trace color-ordered $n$-point tree-level MHV amplitude in EYM theory, obtained by a direct evaluation of the CHY formula, is of an elegant factorized form of a Parke-Taylor factor and a Hodges determinant, much simpler and more compact than the existing formulas in the literature. We prove that our new expression is equivalent to the conjectured Selivanov-Bern-De Freitas-Wong (SBDW) formula, with the help of a new theorem showing that the SBDW generating function has a graph theory interpretation. Together with Ref. (Du, etc, JHEP 05(2016)086), we provide strong analytic evidence for hidden simplicity in quantum field theory.

7.315733

7.668811

9.328477

7.385788

7.590552

7.662542

7.851971

7.446505

7.370003

8.492935

6.869794

7.172462

7.453026

7.222674

7.343455

7.214523

7.131445

7.349443

7.063342

7.284998

7.174707

0802.1659

Boris Pioline

Micha Berkooz (Weizmann) and Boris Pioline (LPTHE and LPTENS)

5D Black Holes and Non-linear Sigma Models

36 pages, 2 figures, uses JHEP3.cls; v3: change of convention in quaternionic vielbein, misprints corrected

JHEP0805:045,2008

10.1088/1126-6708/2008/05/045

LPTENS-08-11,WIS/05/08-FEB-DPP

hep-th

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

Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this procedure to 5D gauged supergravity, and identify the corresponding gauging in 3D. We pay particular attention to the case where the Killing spinor is non constant along the fibration, which results, even for ungauged supergravity in 5D, in an additional gauging in 3D, without introducing any extra potential. We further study SU(2)\times U(1) symmetric solutions, which correspond to geodesic motion on the sigma model (with potential in the gauged case). We identify and study the algebra of BPS constraints relevant for the Breckenridge-Myers-Peet-Vafa black hole, the Gutowski-Reall black hole and several other BPS solutions, and obtain the corresponding radial wave functions in the semi-classical approximation.

[ { "created": "Tue, 12 Feb 2008 16:01:55 GMT", "version": "v1" }, { "created": "Fri, 7 Mar 2008 17:06:16 GMT", "version": "v2" }, { "created": "Thu, 19 Feb 2009 13:29:57 GMT", "version": "v3" } ]

2009-02-19

[ [ "Berkooz", "Micha", "", "Weizmann" ], [ "Pioline", "Boris", "", "LPTHE and LPTENS" ] ]

Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this procedure to 5D gauged supergravity, and identify the corresponding gauging in 3D. We pay particular attention to the case where the Killing spinor is non constant along the fibration, which results, even for ungauged supergravity in 5D, in an additional gauging in 3D, without introducing any extra potential. We further study SU(2)\times U(1) symmetric solutions, which correspond to geodesic motion on the sigma model (with potential in the gauged case). We identify and study the algebra of BPS constraints relevant for the Breckenridge-Myers-Peet-Vafa black hole, the Gutowski-Reall black hole and several other BPS solutions, and obtain the corresponding radial wave functions in the semi-classical approximation.

7.932885

7.705661

9.173827

7.674699

8.083933

8.302493

7.930923

7.807296

8.273821

9.787112

7.770791

7.498863

7.868402

7.71913

7.742226

7.643601

7.264825

7.829581

7.550982

8.083458

7.723786

1401.4987

Julio Oliva

Gaston Giribet, Matias Leoni, Julio Oliva and Sourya Ray

Hairy black holes sourced by a conformally coupled scalar field in D dimensions

5 pages, no figures. V2: minor changes. Published version

null

10.1103/PhysRevD.89.085040

Phys. Rev. D 89 (2014) 085040

hep-th gr-qc

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

There exist well-known no-hair theorems forbidding the existence of hairy black hole solutions in general relativity coupled to a scalar conformal field theory in asymptotically flat space. Even in the presence of cosmological constant, where no-hair theorems can usually be circumvented and black holes with conformal scalar hair were shown to exist in dimensions three and four, no-go results were reported for D>4. In this paper we prove that these obstructions can be evaded and we answer in the affirmative a question that remained open: Whether hairy black holes do exist in general relativity sourced by a conformally coupled scalar field in arbitrary dimensions. We find the analytic black hole solution in arbitrary dimension D>4, which exhibits a backreacting scalar hair that is regular everywhere outside and on the horizon. The metric asymptotes to (Anti-)de Sitter spacetime at large distance and admits spherical horizon as well as horizon of a different topology. We also find analytic solutions when higher-curvature corrections O(R^n) of arbitrary order n are included in the gravity action.

[ { "created": "Mon, 20 Jan 2014 17:13:08 GMT", "version": "v1" }, { "created": "Tue, 27 May 2014 12:43:48 GMT", "version": "v2" } ]

2014-05-28

[ [ "Giribet", "Gaston", "" ], [ "Leoni", "Matias", "" ], [ "Oliva", "Julio", "" ], [ "Ray", "Sourya", "" ] ]

There exist well-known no-hair theorems forbidding the existence of hairy black hole solutions in general relativity coupled to a scalar conformal field theory in asymptotically flat space. Even in the presence of cosmological constant, where no-hair theorems can usually be circumvented and black holes with conformal scalar hair were shown to exist in dimensions three and four, no-go results were reported for D>4. In this paper we prove that these obstructions can be evaded and we answer in the affirmative a question that remained open: Whether hairy black holes do exist in general relativity sourced by a conformally coupled scalar field in arbitrary dimensions. We find the analytic black hole solution in arbitrary dimension D>4, which exhibits a backreacting scalar hair that is regular everywhere outside and on the horizon. The metric asymptotes to (Anti-)de Sitter spacetime at large distance and admits spherical horizon as well as horizon of a different topology. We also find analytic solutions when higher-curvature corrections O(R^n) of arbitrary order n are included in the gravity action.

7.605015

7.498157

7.853188

7.062998

8.445953

7.602973

7.636836

7.369451

7.191814

8.511558

7.31607

7.027258

7.160752

6.965656

7.398515

7.037419

7.049574

6.988095

7.159253

7.090355

7.01408

1508.06411

Subir Ghosh

Praloy Das and Subir Ghosh (Indian Statistical Institute)

Particle on a torus knot: a Hamiltonian analysis

Results are included in arXiv:1511.09035 (replaced); Particle on a Torus Knot: Constrained Dynamics and Semi-Classical Quantization in a Magnetic Field Praloy Das, Souvik Pramanik, Subir Ghosh

null

10.1007/s10701-016-0035-6

null

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

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

We have studied the dynamics and symmetries of a particle constrained to move in a torus knot. The Hamiltonian system turns out to be Second Class in Dirac's formulation and the Dirac brackets yield novel noncommutative structures. The equations of motion are obtained for a path in general where the knot is present in the particle orbit but it is not restricted to a particular torus. We also study the motion when it is restricted to a specific torus. The rotational symmetries are studied as well. We have also considered the behavior of small fluctuations of the particle motion about a fixed torus knot.

[ { "created": "Wed, 26 Aug 2015 08:52:02 GMT", "version": "v1" }, { "created": "Fri, 4 Sep 2015 09:26:06 GMT", "version": "v2" }, { "created": "Wed, 3 Aug 2016 06:50:37 GMT", "version": "v3" } ]

2016-08-24

[ [ "Das", "Praloy", "", "Indian Statistical Institute" ], [ "Ghosh", "Subir", "", "Indian Statistical Institute" ] ]

We have studied the dynamics and symmetries of a particle constrained to move in a torus knot. The Hamiltonian system turns out to be Second Class in Dirac's formulation and the Dirac brackets yield novel noncommutative structures. The equations of motion are obtained for a path in general where the knot is present in the particle orbit but it is not restricted to a particular torus. We also study the motion when it is restricted to a specific torus. The rotational symmetries are studied as well. We have also considered the behavior of small fluctuations of the particle motion about a fixed torus knot.

12.264403

11.57104

11.428111

11.591187

11.099353

11.385344

11.622392

10.906707

11.692019

13.700631

10.684048

11.256381

11.407615

11.257562

11.059447

11.646361

11.802367

11.451052

11.212382

11.464625

11.289643

hep-th/9409173

null

S. Graffi, V.R. Manfredi, L. Salasnich

Accuracy of the Semi--Classical Approximation: the Pullen Edmonds Hamiltonian

12 pages, 5 figures (available upon request to the authors), LaTex, DFPD/93/TH/47, to be published in Nuovo Cimento B

NuovoCim.B109:1147-1154,1994

10.1007/BF02726678

null

hep-th

null

A test on the numerical accuracy of the semiclassical approximation as a function of the principal quantum number has been performed for the Pullen--Edmonds model, a two--dimensional, non--integrable, scaling invariant perturbation of the resonant harmonic oscillator. A perturbative interpretation is obtained of the recently observed phenomenon of the accuracy decrease on the approximation of individual energy levels at the increase of the principal quantum number. Moreover, the accuracy provided by the semiclassical approximation formula is on the average the same as that provided by quantum perturbation theory.

[ { "created": "Wed, 28 Sep 1994 14:31:29 GMT", "version": "v1" } ]

2009-09-25

[ [ "Graffi", "S.", "" ], [ "Manfredi", "V. R.", "" ], [ "Salasnich", "L.", "" ] ]

A test on the numerical accuracy of the semiclassical approximation as a function of the principal quantum number has been performed for the Pullen--Edmonds model, a two--dimensional, non--integrable, scaling invariant perturbation of the resonant harmonic oscillator. A perturbative interpretation is obtained of the recently observed phenomenon of the accuracy decrease on the approximation of individual energy levels at the increase of the principal quantum number. Moreover, the accuracy provided by the semiclassical approximation formula is on the average the same as that provided by quantum perturbation theory.

14.422915

14.261887

16.61347

14.4778

13.290671

14.269736

15.6677

14.554942

15.484511

19.094152

13.350286

13.980655

16.174885

14.254493

14.358392

13.357678

13.739879

15.301638

14.464942

15.772691

14.110552

hep-th/0212224

Thorsten Ohl

Thorsten Ohl (Wuerzburg University), Juergen Reuter (Karlsruhe University)

Clockwork SUSY: Supersymmetric Ward and Slavnov-Taylor Identities At Work in Green's Functions and Scattering Amplitudes

12 pages, feynmp.sty. References added, minor typos corrected and clarified the scope of the paper in the introduction, published version

Eur.Phys.J.C30:525-536,2003

10.1140/epjc/s2003-01301-7

WUE-ITP-2002-038, TTP 02-42

hep-th hep-ph

null

We study the cancellations among Feynman diagrams that implement the Ward and Slavnov-Taylor identities corresponding to the conserved supersymmetry current in supersymmetric quantum field theories. In particular, we show that the Faddeev-Popov ghosts of gauge- and supersymmetries never decouple from the physical fields, even for abelian gauge groups. The supersymmetric Slavnov-Taylor identities provide efficient consistency checks for automatized calculations and can verify the supersymmetry of Feynman rules and the numerical stability of phenomenological predictions simultaneously.

[ { "created": "Wed, 18 Dec 2002 20:50:20 GMT", "version": "v1" }, { "created": "Thu, 19 Dec 2002 18:03:07 GMT", "version": "v2" }, { "created": "Mon, 2 Jun 2003 14:30:54 GMT", "version": "v3" }, { "created": "Thu, 9 Oct 2003 18:27:01 GMT", "version": "v4" }, { "created": "Tue, 27 May 2008 10:35:20 GMT", "version": "v5" } ]

2008-11-26

[ [ "Ohl", "Thorsten", "", "Wuerzburg University" ], [ "Reuter", "Juergen", "", "Karlsruhe\n University" ] ]

We study the cancellations among Feynman diagrams that implement the Ward and Slavnov-Taylor identities corresponding to the conserved supersymmetry current in supersymmetric quantum field theories. In particular, we show that the Faddeev-Popov ghosts of gauge- and supersymmetries never decouple from the physical fields, even for abelian gauge groups. The supersymmetric Slavnov-Taylor identities provide efficient consistency checks for automatized calculations and can verify the supersymmetry of Feynman rules and the numerical stability of phenomenological predictions simultaneously.

9.850067

9.851407

9.563861

9.236565

10.180129

10.456968

9.953635

10.232869

9.167192

9.96365

9.278034

8.996683

9.14171

8.998904

9.209568

9.117457

9.26695

8.705074

8.951544

9.209698

9.164447

hep-th/0111151

Jose M. Isidro

J.M. Isidro

Twisted K-theory in $g>1$ from D-branes

LaTeX, 20 pages

J.Geom.Phys. 42 (2002) 325-341

10.1016/S0393-0440(01)00095-X

OUTP-01-58P

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

null

We study the wrapping of N type IIB Dp-branes on a compact Riemann surface $\Sigma$ in genus $g>1$ by means of the Sen-Witten construction, as a superposition of N' type IIB Dp'-brane/antibrane pairs, with $p'>p$. A background Neveu-Schwarz field B deforms the commutative $C^{\star}$-algebra of functions on $\Sigma$ to a noncommutative $C^{\star}$-algebra. Our construction provides an explicit example of the $N'\to\infty$ limit advocated by Bouwknegt-Mathai and Witten in order to deal with twisted K-theory. We provide the necessary elements to formulate M(atrix) theory on this new $C^{\star}$-algebra, by explicitly constructing a family of projective $C^{\star}$-modules admitting constant-curvature connections. This allows us to define the $g>1$ analogue of the BPS spectrum of states in $g=1$, by means of Donaldson's formulation of the Narasimhan-Seshadri theorem.

[ { "created": "Fri, 16 Nov 2001 16:53:09 GMT", "version": "v1" } ]

2009-11-07

[ [ "Isidro", "J. M.", "" ] ]

We study the wrapping of N type IIB Dp-branes on a compact Riemann surface $\Sigma$ in genus $g>1$ by means of the Sen-Witten construction, as a superposition of N' type IIB Dp'-brane/antibrane pairs, with $p'>p$. A background Neveu-Schwarz field B deforms the commutative $C^{\star}$-algebra of functions on $\Sigma$ to a noncommutative $C^{\star}$-algebra. Our construction provides an explicit example of the $N'\to\infty$ limit advocated by Bouwknegt-Mathai and Witten in order to deal with twisted K-theory. We provide the necessary elements to formulate M(atrix) theory on this new $C^{\star}$-algebra, by explicitly constructing a family of projective $C^{\star}$-modules admitting constant-curvature connections. This allows us to define the $g>1$ analogue of the BPS spectrum of states in $g=1$, by means of Donaldson's formulation of the Narasimhan-Seshadri theorem.

7.277851

8.148864

8.928413

7.468246

8.45648

8.343337

8.345407

8.328098

7.7624

8.736249

7.807786

7.732502

7.715524

7.581086

7.816434

7.962145

8.03091

7.634808

7.616059

7.929718

7.398995

hep-th/0610057

Robert Delbourgo

Flavour mixing and mass matrices via anticommuting properties

12 pages, LaTeX

J.Phys.A39:14735-14744,2006

10.1088/0305-4470/39/47/015

null

hep-th

null

Five anticommuting property coordinates can accommodate all the known fundamental particles in their three generations plus more. We describe the points of difference between this scheme and the standard model and show how flavour mixing arises through a set of expectation values carried by a single Higgs superfield.

[ { "created": "Wed, 4 Oct 2006 23:38:21 GMT", "version": "v1" } ]

2009-11-11

[ [ "Delbourgo", "Robert", "" ] ]

Five anticommuting property coordinates can accommodate all the known fundamental particles in their three generations plus more. We describe the points of difference between this scheme and the standard model and show how flavour mixing arises through a set of expectation values carried by a single Higgs superfield.

38.044029

30.851841

32.730888

31.577726

30.528877

35.203056

33.693806

36.773712

29.025133

33.987331

32.099548

32.137833

35.325741

31.610191

32.019508

32.225517

30.216293

33.559132

30.519585

36.22084

31.583094

hep-th/9704030

Rajesh Gopakumar

Rajesh Gopakumar (Princeton University)

BPS states in Matrix Strings

Harvmac, 14 pages (big)

Nucl.Phys. B507 (1997) 609-620

10.1016/S0550-3213(97)00586-5

null

hep-th

null

Matrix string theory (or more generally U-Duality) requires Super Yang-Mills theory to reflect a stringy degeneracy of BPS short multiplets. These are found as supersymmetric states in the Yang-Mills carrying (fractionated) momentum, or in some cases, instanton number. Their energies also agree with those expected from M(atrix) theory. A nice parallel also emerges in the relevant cases, between momentum and instanton number, (both integral as well as fractional) providing evidence for a recent conjecture relating the two.

[ { "created": "Fri, 4 Apr 1997 00:21:10 GMT", "version": "v1" } ]

2009-10-30

[ [ "Gopakumar", "Rajesh", "", "Princeton University" ] ]

Matrix string theory (or more generally U-Duality) requires Super Yang-Mills theory to reflect a stringy degeneracy of BPS short multiplets. These are found as supersymmetric states in the Yang-Mills carrying (fractionated) momentum, or in some cases, instanton number. Their energies also agree with those expected from M(atrix) theory. A nice parallel also emerges in the relevant cases, between momentum and instanton number, (both integral as well as fractional) providing evidence for a recent conjecture relating the two.

23.662926

23.03499

27.692266

18.836576

22.262094

22.557001

22.149746

21.631727

21.946642

29.910116

20.778927

22.471506

23.415949

20.83112

22.831663

23.773605

23.075953

22.50869

21.89698

23.112944

21.917459

hep-th/9305028

null

M. Alvarez and J.M.F. Labastida

Breaking of Topological Symmetry

12 pages

Phys.Lett. B315 (1993) 251-257

10.1016/0370-2693(93)91609-Q

null

hep-th

null

The coupling of topological matter to topological Yang-Mills theory in four dimensions is considered and a model is presented. It is shown that, contrary to the two-dimensional case, this coupling leads to a breaking of the topological symmetry. This means that the vacuum expectation values of the observables of the theory loose their invariance under small deformations of the metric while the action of the model possesses all the symmetries corresponding to the case with no coupling.

[ { "created": "Sun, 9 May 1993 17:21:29 GMT", "version": "v1" }, { "created": "Thu, 29 Jul 1993 15:21:49 GMT", "version": "v2" } ]

2009-10-22

[ [ "Alvarez", "M.", "" ], [ "Labastida", "J. M. F.", "" ] ]

The coupling of topological matter to topological Yang-Mills theory in four dimensions is considered and a model is presented. It is shown that, contrary to the two-dimensional case, this coupling leads to a breaking of the topological symmetry. This means that the vacuum expectation values of the observables of the theory loose their invariance under small deformations of the metric while the action of the model possesses all the symmetries corresponding to the case with no coupling.

8.620175

6.638952

7.758885

6.765798

6.953533

7.348793

6.540347

6.464182

6.552973

7.448664

6.843867

6.877478

7.683751

7.016012

7.079959

6.870443

6.793833

6.930889

7.141488

7.593358

6.986691

hep-th/0402171

Xin-Bing Huang

Unification of Gravitation and Gauge Fields

7 pages, the second letter on daor field

null

hep-th

null

In this letter, I indicate that complex daor field should also have spinor suffixes. The gravitation and gauge fields are unified under the framework of daor field. I acquire the elegant coupling equation of gravitation and gauge fields, from which Einstein's gravitational equation can be deduced.

[ { "created": "Sat, 21 Feb 2004 12:23:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Huang", "Xin-Bing", "" ] ]

In this letter, I indicate that complex daor field should also have spinor suffixes. The gravitation and gauge fields are unified under the framework of daor field. I acquire the elegant coupling equation of gravitation and gauge fields, from which Einstein's gravitational equation can be deduced.

31.325157

25.624126

27.552998

23.671257

21.52109

24.006994

21.683268

22.163221

26.424221

31.192635

25.609928

28.065783

30.072575

28.68037

28.42988

27.089449

28.938078

27.296684

29.098532

30.771988

27.158947

hep-th/9610205

Shamit Kachru

Ofer Aharony, Shamit Kachru, and Eva Silverstein

New N=1 Superconformal Field Theories in Four Dimensions from D-brane Probes

23 pages, harvmac big

Nucl.Phys.B488:159-176,1997

10.1016/S0550-3213(97)00025-4

RU-96-96

hep-th

null

We present several new examples of nontrivial 4d N=1 superconformal field theories. Some of these theories exhibit exotic global symmetries, including non-simply laced groups (such as $F_4$). They are obtained by studying threebrane probes in F-theory compactifications on elliptic Calabi-Yau threefolds. The geometry of the compactification encodes in a simple way the behavior of the gauge coupling and the K\"ahler potential on the Coulomb branch of these theories.

[ { "created": "Sun, 27 Oct 1996 22:24:01 GMT", "version": "v1" } ]

2016-09-06

[ [ "Aharony", "Ofer", "" ], [ "Kachru", "Shamit", "" ], [ "Silverstein", "Eva", "" ] ]

We present several new examples of nontrivial 4d N=1 superconformal field theories. Some of these theories exhibit exotic global symmetries, including non-simply laced groups (such as $F_4$). They are obtained by studying threebrane probes in F-theory compactifications on elliptic Calabi-Yau threefolds. The geometry of the compactification encodes in a simple way the behavior of the gauge coupling and the K\"ahler potential on the Coulomb branch of these theories.

5.684357

4.790323

6.248877

4.904388

4.878528

4.732543

4.712921

4.719207

4.680683

6.271219

4.733359

4.987739

5.447728

4.94666

4.939254

4.838624

4.750729

4.743961

4.957907

5.506048

4.708296

2007.04190

Rongvoram Nivesvivat

Rongvoram Nivesvivat and Sylvain Ribault

Logarithmic CFT at generic central charge: from Liouville theory to the $Q$-state Potts model

38 pages, v6: characters of logarithmic representations

SciPost Phys. 10, 021 (2021)

10.21468/SciPostPhys.10.1.021

null

hep-th math-ph math.MP

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

Using derivatives of primary fields (null or not) with respect to the conformal dimension, we build infinite families of non-trivial logarithmic representations of the conformal algebra at generic central charge, with Jordan blocks of dimension $2$ or $3$. Each representation comes with one free parameter, which takes fixed values under assumptions on the existence of degenerate fields. This parameter can be viewed as a simpler, normalization-independent redefinition of the logarithmic coupling. In the example of the vacuum module at central charge zero, this parameter characterizes a Jordan block of dimension $3$, and takes the value $-\frac{1}{48}$. We compute the corresponding non-chiral conformal blocks, although they in general do not satisfy any nontrivial differential equation. We show that these blocks appear in limits of Liouville theory four-point functions. As an application, we describe the logarithmic structures of the critical two-dimensional $O(n)$ and $Q$-state Potts models at generic central charge. The validity of our description is demonstrated by semi-analytically bootstrapping four-point connectivities in the $Q$-state Potts model to arbitrary precision. Moreover, we provide numerical evidence for the Delfino--Viti conjecture for the three-point connectivity. Our results hold for generic values of $Q$ in the complex plane and beyond.

[ { "created": "Wed, 8 Jul 2020 15:29:25 GMT", "version": "v1" }, { "created": "Fri, 18 Sep 2020 12:35:51 GMT", "version": "v2" }, { "created": "Mon, 30 Nov 2020 16:22:14 GMT", "version": "v3" }, { "created": "Wed, 30 Jun 2021 07:58:04 GMT", "version": "v4" }, { "created": "Tue, 7 Sep 2021 09:12:20 GMT", "version": "v5" }, { "created": "Fri, 8 Jul 2022 08:17:34 GMT", "version": "v6" } ]

2022-07-11

[ [ "Nivesvivat", "Rongvoram", "" ], [ "Ribault", "Sylvain", "" ] ]

Using derivatives of primary fields (null or not) with respect to the conformal dimension, we build infinite families of non-trivial logarithmic representations of the conformal algebra at generic central charge, with Jordan blocks of dimension $2$ or $3$. Each representation comes with one free parameter, which takes fixed values under assumptions on the existence of degenerate fields. This parameter can be viewed as a simpler, normalization-independent redefinition of the logarithmic coupling. In the example of the vacuum module at central charge zero, this parameter characterizes a Jordan block of dimension $3$, and takes the value $-\frac{1}{48}$. We compute the corresponding non-chiral conformal blocks, although they in general do not satisfy any nontrivial differential equation. We show that these blocks appear in limits of Liouville theory four-point functions. As an application, we describe the logarithmic structures of the critical two-dimensional $O(n)$ and $Q$-state Potts models at generic central charge. The validity of our description is demonstrated by semi-analytically bootstrapping four-point connectivities in the $Q$-state Potts model to arbitrary precision. Moreover, we provide numerical evidence for the Delfino--Viti conjecture for the three-point connectivity. Our results hold for generic values of $Q$ in the complex plane and beyond.

9.096633

10.217854

10.69439

9.355039

10.444304

11.257042

10.324047

10.001851

9.983122

12.696651

9.399562

8.935042

9.720107

8.916556

9.002537

8.912784

9.072238

8.892353

8.849356

9.347469

8.787835

hep-th/9312163

Math guest

J. Anandan

Protective Measurement and Quantum Reality

(e-mail n530042@univscvm.bitnet) 30 pages, to be published in Foundations of Physics Letters

null

10.1007/BF00662803

null

hep-th

null

It is shown that from the expectation values of obervables, which can be measured for a single system using protective measurements, the linear structure, inner product, and observables in the Hilbert space can be reconstructed. A universal method of measuring the wave function of a single particle using its gravitational field is given. Protective measurement is generalized to the measurement of a degenerate state and to many particle systems. The question of whether the wave function is real is examined, and an argument of Einstein in favor of the ensemble interpretation of quantum theory is refuted.

[ { "created": "Mon, 20 Dec 1993 18:05:40 GMT", "version": "v1" } ]

2009-10-22

[ [ "Anandan", "J.", "" ] ]

It is shown that from the expectation values of obervables, which can be measured for a single system using protective measurements, the linear structure, inner product, and observables in the Hilbert space can be reconstructed. A universal method of measuring the wave function of a single particle using its gravitational field is given. Protective measurement is generalized to the measurement of a degenerate state and to many particle systems. The question of whether the wave function is real is examined, and an argument of Einstein in favor of the ensemble interpretation of quantum theory is refuted.

11.660769

12.172759

12.323415

11.919508

11.290395

11.655103

11.964679

11.680985

11.323429

11.905006

11.834137

11.2906

11.354705

11.120899

11.402316

11.529205

10.977299

11.023648

11.240191

11.744871

11.12063

1512.01288

Sergey Gavrilov P

T. C. Adorno, S.P. Gavrilov, and D.M. Gitman

Exactly solvable cases in QED with t-electric potential steps

61 pages, version accepted for publication in IJMPA, misprints corrected

Int. J. Mod. Phys. A. 32 1750105 (2017)

10.1142/S0217751X17501056

null

hep-th

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

In this paper, we present in detail consistent QED (and scalar QED) calculations of particle creation effects in external electromagnetic field that correspond to three most important exactly solvable cases of t-electric potential steps: Sauter-like electric field, T-constant electric field, and exponentially growing and decaying electric fields. In all these cases, we succeeded to obtain new results, such as calculations in modified configurations of the above mentioned steps and detailed considerations of new limiting cases in already studied before steps. As was recently discovered by us, the information derived from considerations of exactly solvable cases allows one to make some general conclusions about quantum effects in fields for which no closed form solutions of the Dirac (or Klein-Gordon) equation are known. In the present article we briefly represent such conclusions about an universal behavior of vacuum mean values in slowly varying strong electric fields.

[ { "created": "Fri, 4 Dec 2015 00:10:57 GMT", "version": "v1" }, { "created": "Fri, 7 Apr 2017 15:08:36 GMT", "version": "v2" }, { "created": "Mon, 19 Jun 2017 19:35:24 GMT", "version": "v3" } ]

2017-06-21

[ [ "Adorno", "T. C.", "" ], [ "Gavrilov", "S. P.", "" ], [ "Gitman", "D. M.", "" ] ]

In this paper, we present in detail consistent QED (and scalar QED) calculations of particle creation effects in external electromagnetic field that correspond to three most important exactly solvable cases of t-electric potential steps: Sauter-like electric field, T-constant electric field, and exponentially growing and decaying electric fields. In all these cases, we succeeded to obtain new results, such as calculations in modified configurations of the above mentioned steps and detailed considerations of new limiting cases in already studied before steps. As was recently discovered by us, the information derived from considerations of exactly solvable cases allows one to make some general conclusions about quantum effects in fields for which no closed form solutions of the Dirac (or Klein-Gordon) equation are known. In the present article we briefly represent such conclusions about an universal behavior of vacuum mean values in slowly varying strong electric fields.

16.401567

14.568475

17.509649

15.298749

15.201369

15.18693

15.422242

15.363436

14.884298

19.501741

14.52032

16.109838

16.546301

15.674708

15.452257

16.441717

16.117062

15.883661

15.886877

16.315248

15.92961

0805.1911

Bert Schroer

String theory and the crisis of particle physics II or the ascent of metaphoric arguments

A dedication and an epilog to the memory of Juergen Ehlers. Extension of the the last two sections, removal of typos and changes in formulation, 68 pages latex

null

10.1142/S0218271808014217

null

hep-th gr-qc physics.soc-ph

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

This is a completely reformulated presentation of a previous paper with the same title; this time with a much stronger emphasis on conceptual aspects of string theory and a detailed review of its already more than four decades lasting history within a broader context, including some little-known details. Although there have been several books and essays on the sociological impact and its philosophical implications, there is yet no serious attempt to scrutinize its claims about particle physics using the powerful conceptual arsenal of contemporary local quantum physics. I decided to leave the previous first version on the arXiv because it may be interesting to the reader to notice the change of viewpoint and the reason behind it. Other reasons for preventing my first version to go into print and to rewrite it in such a way that its content complies with my different actual viewpoint can be found at the end of the article. The central message, contained in sections 5 and 6, is that string theory is not what string theorists think and claim it is. The widespread acceptance of a theory whose interpretation has been obtained by metaphoric reasoning had a corroding influence on the rest of particle physics theory as will be illustrated in several concrete cases. The work is dedicated to the memory of Juergen Ehlers with whom I shared many critical ideas, but their formulation in this essay is fully within my responsibility.

[ { "created": "Tue, 13 May 2008 19:30:57 GMT", "version": "v1" }, { "created": "Tue, 10 Jun 2008 16:55:46 GMT", "version": "v2" } ]

2009-11-13

[ [ "Schroer", "Bert", "" ] ]

This is a completely reformulated presentation of a previous paper with the same title; this time with a much stronger emphasis on conceptual aspects of string theory and a detailed review of its already more than four decades lasting history within a broader context, including some little-known details. Although there have been several books and essays on the sociological impact and its philosophical implications, there is yet no serious attempt to scrutinize its claims about particle physics using the powerful conceptual arsenal of contemporary local quantum physics. I decided to leave the previous first version on the arXiv because it may be interesting to the reader to notice the change of viewpoint and the reason behind it. Other reasons for preventing my first version to go into print and to rewrite it in such a way that its content complies with my different actual viewpoint can be found at the end of the article. The central message, contained in sections 5 and 6, is that string theory is not what string theorists think and claim it is. The widespread acceptance of a theory whose interpretation has been obtained by metaphoric reasoning had a corroding influence on the rest of particle physics theory as will be illustrated in several concrete cases. The work is dedicated to the memory of Juergen Ehlers with whom I shared many critical ideas, but their formulation in this essay is fully within my responsibility.

17.176598

19.696024

17.686634

17.168421

19.085817

18.743193

19.492371

20.126095

17.630919

17.895481

18.088198

17.715403

16.685486

16.569221

17.854324

17.22385

17.035027

16.941181

17.180571

17.077089

16.81852

2406.07836

Yu-Ting Zhou

Yu-Ting Zhou and Xiao-Mei Kuang

Quantum fluctuation on the worldsheet of probe string in BTZ black hole

18 pages, 2 figures

null

hep-th

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

In this paper, we investigate the second-order normal quantum fluctuation on the world-sheet of a probe string in the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole. These fluctuations is treated as the projection of Hawking radiation on the worldsheet and indeed modify the action growth of the string. Then in the string field theory/boundary conformal field theory framework, via the boundary vertex operator we study the correlation function of the Schr\"odinger functional of excited fields on the world-sheet and further extract the field's formula. Our study could shed light on the potential connection between complexity growth and correlation function.

[ { "created": "Wed, 12 Jun 2024 03:10:10 GMT", "version": "v1" } ]

2024-06-13

[ [ "Zhou", "Yu-Ting", "" ], [ "Kuang", "Xiao-Mei", "" ] ]

In this paper, we investigate the second-order normal quantum fluctuation on the world-sheet of a probe string in the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole. These fluctuations is treated as the projection of Hawking radiation on the worldsheet and indeed modify the action growth of the string. Then in the string field theory/boundary conformal field theory framework, via the boundary vertex operator we study the correlation function of the Schr\"odinger functional of excited fields on the world-sheet and further extract the field's formula. Our study could shed light on the potential connection between complexity growth and correlation function.

17.520926

15.899075

17.547165

14.895449

15.77537

14.714235

15.577538

14.658574

15.16577

15.878761

15.258372

15.298636

15.262019

14.960432

15.364897

15.161981

15.278953

14.923429

15.520833

15.550665

15.247137

1003.0029

Timm Wrase

Timm Wrase, Marco Zagermann

On Classical de Sitter Vacua in String Theory

4 pages, proceedings of the 9th Hellenic School on Elementary Particle Physics and Gravity, Corfu 2009

Fortschr. Phys. 58, No. 7-9, 906-910 (2010)

10.1002/prop.201000053

null

hep-th

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

We review the prospect of obtaining tree-level de Sitter (dS) vacua and slow-roll inflation models in string compactifications. Restricting ourselves to the closed string sector and assuming the absence of NSNS-sources, we classify the minimal classical ingredients that evade the simplest no-go theorems against dS vacua and inflation. Spaces with negative integrated curvature together with certain combinations of low-dimensional orientifold planes and low-rank RR-fluxes emerge as the most promising setups of this analysis. We focus on two well-controlled classes that lead to an effective 4D, N=1 supergravity description: Type IIA theory on group or coset manifolds with SU(3)-structure and O6-planes, as well as type IIB compactifications on SU(2)-structure manifolds with O5- and O7-planes. While fully stabilized AdS vacua are generically possible, a number of problems encountered in the search for dS vacua are discussed.

[ { "created": "Mon, 1 Mar 2010 16:42:05 GMT", "version": "v1" } ]

2010-07-05

[ [ "Wrase", "Timm", "" ], [ "Zagermann", "Marco", "" ] ]

We review the prospect of obtaining tree-level de Sitter (dS) vacua and slow-roll inflation models in string compactifications. Restricting ourselves to the closed string sector and assuming the absence of NSNS-sources, we classify the minimal classical ingredients that evade the simplest no-go theorems against dS vacua and inflation. Spaces with negative integrated curvature together with certain combinations of low-dimensional orientifold planes and low-rank RR-fluxes emerge as the most promising setups of this analysis. We focus on two well-controlled classes that lead to an effective 4D, N=1 supergravity description: Type IIA theory on group or coset manifolds with SU(3)-structure and O6-planes, as well as type IIB compactifications on SU(2)-structure manifolds with O5- and O7-planes. While fully stabilized AdS vacua are generically possible, a number of problems encountered in the search for dS vacua are discussed.

9.513624

9.582133

12.392583

9.523811

9.569819

9.80995

10.164304

9.469562

9.078951

11.026984

9.300769

9.458774

9.730416

9.306904

9.693587

9.844896

9.790223

9.687104

9.495964

9.91306

9.448352

2008.03735

Ronaldo Thibes

Ilane Gomes Oliveira, Jorge Henrique Sales and Ronaldo Thibes

Bopp-Podolsky Scalar Electrodynamics Propagators and Energy-Momentum Tensor in Covariant and Light-Front Coordinates

null

hep-th

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

We consider the interaction between a charged scalar boson and the Bopp-Podolsky gauge fields. The Bopp-Podolsky (BP) electrodynamics possesses both massive and massless propagation modes for the photon, while preserving gauge invariance. We obtain the propagator of all fields present in the model for the higher-order generalizations of the linear covariant, light-front and doubly transverse light-front gauges. Although BP's original model is described by a higher-order derivatives Lagrangian, it is possible to work with an equivalent reduced-order version by means of the introduction of an auxiliary vector field. We compute the gauge-invariant improved energy-momentum tensor for the full reduced-order interacting BP model. Besides the more traditional front-form view, we also discuss the light-front perspective in both versions of the model. Within a Lagrangian framework approach we maintain explicit covariance at all steps and show that the field propagators, as well as the energy-momentum tensor, can be cast into a light-front closed form using specific properties of general coordinate transformations.

[ { "created": "Sun, 9 Aug 2020 14:38:43 GMT", "version": "v1" } ]

2020-08-11

[ [ "Oliveira", "Ilane Gomes", "" ], [ "Sales", "Jorge Henrique", "" ], [ "Thibes", "Ronaldo", "" ] ]

We consider the interaction between a charged scalar boson and the Bopp-Podolsky gauge fields. The Bopp-Podolsky (BP) electrodynamics possesses both massive and massless propagation modes for the photon, while preserving gauge invariance. We obtain the propagator of all fields present in the model for the higher-order generalizations of the linear covariant, light-front and doubly transverse light-front gauges. Although BP's original model is described by a higher-order derivatives Lagrangian, it is possible to work with an equivalent reduced-order version by means of the introduction of an auxiliary vector field. We compute the gauge-invariant improved energy-momentum tensor for the full reduced-order interacting BP model. Besides the more traditional front-form view, we also discuss the light-front perspective in both versions of the model. Within a Lagrangian framework approach we maintain explicit covariance at all steps and show that the field propagators, as well as the energy-momentum tensor, can be cast into a light-front closed form using specific properties of general coordinate transformations.

12.327865

12.510275

11.858288

12.200807

12.085811

11.853343

12.754659

11.480033

11.324279

13.307599

11.874456

12.015013

12.558421

12.103954

12.010837

12.230597

12.303834

12.080916

12.406866

12.685096

11.976575

hep-th/0203274

Justin Khoury

J. Khoury (Princeton), R.-J. Zhang (IAS)

On the Friedmann Equation in Brane-World Scenarios

4 pages. v2,v3: discussion on BBN extended, minor corrections

Phys.Rev.Lett. 89 (2002) 061302

10.1103/PhysRevLett.89.061302

null

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

null

The Friedmann law on the brane generically depends quadratically on the brane energy density and involves a ``dark radiation'' term due to the bulk Weyl tensor. Despite its unfamiliar form, we show how it can be derived from a standard four-dimensional Brans-Dicke theory at low energy. In particular, the dark radiation term is found to depend linearly on the brane energy densities. For any equation of state on the branes, the radion evolves such as to generate radiation-dominated cosmology. The radiation-dominated era is conventional and consistent with nucleosynthesis.

[ { "created": "Fri, 29 Mar 2002 18:44:09 GMT", "version": "v1" }, { "created": "Thu, 6 Jun 2002 19:40:16 GMT", "version": "v2" }, { "created": "Tue, 11 Jun 2002 23:22:19 GMT", "version": "v3" } ]

2009-11-07

[ [ "Khoury", "J.", "", "Princeton" ], [ "Zhang", "R. -J.", "", "IAS" ] ]

The Friedmann law on the brane generically depends quadratically on the brane energy density and involves a ``dark radiation'' term due to the bulk Weyl tensor. Despite its unfamiliar form, we show how it can be derived from a standard four-dimensional Brans-Dicke theory at low energy. In particular, the dark radiation term is found to depend linearly on the brane energy densities. For any equation of state on the branes, the radion evolves such as to generate radiation-dominated cosmology. The radiation-dominated era is conventional and consistent with nucleosynthesis.

12.548779

11.065564

10.65137

9.916929

11.592358

11.307949

10.72224

10.268831

9.569897

11.239655

10.279556

11.0466

10.767649

10.571573

11.248255

10.684962

11.235893

10.350968

10.654439

11.317116

11.254653

1110.1108

Ivan K. Kostov

Jean-Emile Bourgine and Ivan Kostov

On the Yang-Lee and Langer singularities in the O(n) loop model

38 pages, 16 figures

null

10.1088/1742-5468/2012/01/P01024

IPhT/t11/195

hep-th cond-mat.stat-mech

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

We use the method of `coupling to 2d QG' to study the analytic properties of the universal specific free energy of the O(n) loop model in complex magnetic field. We compute the specific free energy on a dynamical lattice using the correspondence with a matrix model. The free energy has a pair of Yang-Lee edges on the high-temperature sheet and a Langer type branch cut on the low-temperature sheet. Our result confirms a conjecture by A. and Al. Zamolodchikov about the decay rate of the metastable vacuum in presence of Liouville gravity and gives strong evidence about the existence of a weakly metastable state and a Langer branch cut in the O(n) loop model on a flat lattice. Our results are compatible with the Fonseca-Zamolodchikov conjecture that the Yang-Lee edge appears as the nearest singularity under the Langer cut.

[ { "created": "Wed, 5 Oct 2011 21:22:25 GMT", "version": "v1" }, { "created": "Mon, 19 Dec 2011 16:56:47 GMT", "version": "v2" } ]

2015-05-30

[ [ "Bourgine", "Jean-Emile", "" ], [ "Kostov", "Ivan", "" ] ]

We use the method of `coupling to 2d QG' to study the analytic properties of the universal specific free energy of the O(n) loop model in complex magnetic field. We compute the specific free energy on a dynamical lattice using the correspondence with a matrix model. The free energy has a pair of Yang-Lee edges on the high-temperature sheet and a Langer type branch cut on the low-temperature sheet. Our result confirms a conjecture by A. and Al. Zamolodchikov about the decay rate of the metastable vacuum in presence of Liouville gravity and gives strong evidence about the existence of a weakly metastable state and a Langer branch cut in the O(n) loop model on a flat lattice. Our results are compatible with the Fonseca-Zamolodchikov conjecture that the Yang-Lee edge appears as the nearest singularity under the Langer cut.

12.151623

11.340477

11.892649

10.676882

11.765571

13.066727

12.337305

10.917245

11.030473

13.895342

10.889451

10.834487

11.793622

10.86067

10.672771

10.789179

11.237026

11.040837

10.820367

11.438933

10.487466

hep-th/0504080

Hong Lu

M. Cvetic, G.W. Gibbons, H. Lu and C.N. Pope

Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines

latex, 57 pages, Sustantial corrections and further material about regularity of the solutions added

null

DAMTP-2005-39, MIFP-05-08, UPR-1114-T

hep-th

null

We study the thermodynamics of the recently-discovered non-extremal charged rotating black holes of gauged supergravities in five, seven and four dimensions, obtaining energies, angular momenta and charges that are consistent with the first law of thermodynamics. We obtain their supersymmetric limits by using these expressions together with an analysis of the AdS superalgebras including R-charges. We give a general discussion of the global structure of such solutions, and apply it in the various cases. We obtain new regular supersymmetric black holes in seven and four dimensions, as well as reproducing known examples in five and four dimensions. We also obtain new supersymmetric non-singular topological solitons in five and seven dimensions. The rest of the supersymmetric solutions either have naked singularities or naked time machines. The latter can be rendered non-singular if the asymptotic time is periodic. This leads to a new type of quantum consistency condition, which we call a Josephson quantisation condition. Finally, we discuss some aspects of rotating black holes in Godel universe backgrounds.

[ { "created": "Mon, 11 Apr 2005 19:55:13 GMT", "version": "v1" }, { "created": "Fri, 13 May 2005 17:50:31 GMT", "version": "v2" }, { "created": "Wed, 9 Nov 2005 00:20:39 GMT", "version": "v3" } ]

2007-05-23

[ [ "Cvetic", "M.", "" ], [ "Gibbons", "G. W.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ] ]

We study the thermodynamics of the recently-discovered non-extremal charged rotating black holes of gauged supergravities in five, seven and four dimensions, obtaining energies, angular momenta and charges that are consistent with the first law of thermodynamics. We obtain their supersymmetric limits by using these expressions together with an analysis of the AdS superalgebras including R-charges. We give a general discussion of the global structure of such solutions, and apply it in the various cases. We obtain new regular supersymmetric black holes in seven and four dimensions, as well as reproducing known examples in five and four dimensions. We also obtain new supersymmetric non-singular topological solitons in five and seven dimensions. The rest of the supersymmetric solutions either have naked singularities or naked time machines. The latter can be rendered non-singular if the asymptotic time is periodic. This leads to a new type of quantum consistency condition, which we call a Josephson quantisation condition. Finally, we discuss some aspects of rotating black holes in Godel universe backgrounds.

8.525553

8.24812

9.552533

8.107931

8.524097

8.100021

7.648591

7.971173

7.665183

10.61855

8.116037

7.966412

9.082391

8.117645

7.920837

7.720487

7.864885

8.072726

8.027877

8.904451

7.815942

hep-th/0111065

Jose Luis Boldo

J.L. Boldo and C.A.G. Sasaki

Symmetry aspects of fermions coupled to torsion and electromagnetic fields

9 pages, LaTex

Europhys.Lett.57:180-185,2002

10.1209/epl/i2002-00111-0

null

hep-th

null

We study and explore the symmetry properties of fermions coupled to dynamical torsion and electromagnetic fields. The stability of the theory upon radiative corrections as well as the presence of anomalies are investigated.

[ { "created": "Wed, 7 Nov 2001 16:26:13 GMT", "version": "v1" }, { "created": "Tue, 24 Sep 2002 22:10:23 GMT", "version": "v2" } ]

2010-12-17

[ [ "Boldo", "J. L.", "" ], [ "Sasaki", "C. A. G.", "" ] ]

We study and explore the symmetry properties of fermions coupled to dynamical torsion and electromagnetic fields. The stability of the theory upon radiative corrections as well as the presence of anomalies are investigated.

15.371115

10.950987

11.291872

10.560464

11.261817

10.714219

11.389016

10.79584

11.864133

12.971339

12.058723

12.391747

12.05563

12.270638

12.445223

12.191737

13.352767

12.173406

12.799301

12.284654

12.299516

hep-th/0101055

Adel Bilal

Introduction to Supersymmetry

77 pages, no figures, Latex

null

NEIP-01-001

hep-th

null

These are expanded notes of lectures given at the summer school "Gif 2000" in Paris. They constitute the first part of an "Introduction to supersymmetry and supergravity" with the second part on supergravity by J.-P. Derendinger to appear soon. The present introduction is elementary and pragmatic. I discuss: spinors and the Poincar\'e group, the susy algebra and susy multiplets, superfields and susy lagrangians, susy gauge theories, spontaneously broken susy, the non-linear sigma model, N=2 susy gauge theories, and finally Seiberg-Witten duality.

[ { "created": "Wed, 10 Jan 2001 00:56:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bilal", "Adel", "" ] ]

These are expanded notes of lectures given at the summer school "Gif 2000" in Paris. They constitute the first part of an "Introduction to supersymmetry and supergravity" with the second part on supergravity by J.-P. Derendinger to appear soon. The present introduction is elementary and pragmatic. I discuss: spinors and the Poincar\'e group, the susy algebra and susy multiplets, superfields and susy lagrangians, susy gauge theories, spontaneously broken susy, the non-linear sigma model, N=2 susy gauge theories, and finally Seiberg-Witten duality.

7.161161

6.635953

6.409113

6.429673

7.131666

6.714441

7.490877

6.421414

6.758579

7.401075

6.98391

6.188699

6.006233

6.010312

6.149476

6.208695

6.209088

6.199275

6.038294

6.181275

6.273741

hep-th/0005017

Makoto Sakamoto

Katsuhiko Ohnishi and Makoto Sakamoto

Novel Phase Structure of Twisted O(N) phi^4 model on M^D-1 \times S^1

11 pages

Phys.Lett.B486:179-185,2000

10.1016/S0370-2693(00)00724-3

KOBE-TH-00-03

hep-th

null

We study the O(N) $\phi^4$ model compactified on $M^{D-1}\otimes S^1$, which allows to impose twisted boundary conditions for the $S^1$-direction. The O(N) symmetry can be broken to $H$ explicitly by the boundary conditions and further broken to $I$ spontaneously by vacuum expectation values of the fields. The symmetries $H$ and $I$ are completely classified and the model turns out to have unexpectedly a rich phase structure. The unbroken symmetry $I$ is shown to depend on not only the boundary conditions but also the radius of $S^1$, and the symmetry breaking patterns are found to be unconventional. The spontaneous breakdown of the translational invariance is also discussed.

[ { "created": "Tue, 2 May 2000 09:25:52 GMT", "version": "v1" }, { "created": "Wed, 7 Jun 2000 08:10:35 GMT", "version": "v2" } ]

2010-11-19

[ [ "Ohnishi", "Katsuhiko", "" ], [ "Sakamoto", "Makoto", "" ] ]

We study the O(N) $\phi^4$ model compactified on $M^{D-1}\otimes S^1$, which allows to impose twisted boundary conditions for the $S^1$-direction. The O(N) symmetry can be broken to $H$ explicitly by the boundary conditions and further broken to $I$ spontaneously by vacuum expectation values of the fields. The symmetries $H$ and $I$ are completely classified and the model turns out to have unexpectedly a rich phase structure. The unbroken symmetry $I$ is shown to depend on not only the boundary conditions but also the radius of $S^1$, and the symmetry breaking patterns are found to be unconventional. The spontaneous breakdown of the translational invariance is also discussed.

6.545485

6.526241

6.387973

6.077978

6.311677

6.033044

5.699812

6.535452

5.938987

6.85825

6.587653

6.25552

6.46174

6.100515

6.211552

6.376391

6.431959

6.360723

6.071065

6.386158

6.014948

1807.10307

Matthew Roberts

Louise Anderson and Matthew M. Roberts

Mass deformed ABJM and $\mathcal{PT}$ symmetry

21 pages, 3 figures

null

10.1007/JHEP04(2019)036

null

hep-th

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

We consider real mass and FI deformations of ABJM theory preserving supersymmetry in the large $N$ limit, and compare with holographic results. On the field theory side, the problems amounts to a spectral problem of a non-Hermitian Hamiltonian. For certain values of the deformation parameters this is invariant under an antiunitary operator (generalised $\mathcal{PT}$ symmetry), which ensures the partition function remains real and allows us to calculate the free energy using tools from statistical physics. The results obtained are compatible with previous work, the important new feature being that these are obtained directly from the real deformations, without analytic continuation.

[ { "created": "Thu, 26 Jul 2018 18:24:12 GMT", "version": "v1" } ]

2019-05-01

[ [ "Anderson", "Louise", "" ], [ "Roberts", "Matthew M.", "" ] ]

We consider real mass and FI deformations of ABJM theory preserving supersymmetry in the large $N$ limit, and compare with holographic results. On the field theory side, the problems amounts to a spectral problem of a non-Hermitian Hamiltonian. For certain values of the deformation parameters this is invariant under an antiunitary operator (generalised $\mathcal{PT}$ symmetry), which ensures the partition function remains real and allows us to calculate the free energy using tools from statistical physics. The results obtained are compatible with previous work, the important new feature being that these are obtained directly from the real deformations, without analytic continuation.

12.348829

12.217139

12.433609

10.74987

12.06904

11.390317

12.079931

11.265563

10.844737

12.386534

11.163232

11.164017

11.412838

10.697419

11.058362

10.931815

10.794086

10.443188

11.320371

11.269773

10.531441

1812.03117

Boudhayan Paul

Vinay Malvimat, Sayid Mondal, Boudhayan Paul and Gautam Sengupta

Covariant holographic entanglement negativity for disjoint intervals in $AdS_3/CFT_2$

17 pages, 2 figures. arXiv admin note: text overlap with arXiv:1710.06138

Eur. Phys. J. C (2019) 79: 514

10.1140/epjc/s10052-019-7032-9

null

hep-th

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

We advance a construction for the covariant holographic entanglement negativity for time dependent mixed states of disjoint intervals in $(1+1)$ dimensional conformal field theories ($CFT_{1+1}$) dual to bulk non static $AdS_3$ geometries. Application of our proposal to such mixed states in a $CFT_{1+1}$ dual to bulk non extremal and extremal rotating BTZ black holes exactly reproduces the replica technique results in the large central charge limit. We also investigate the time dependent holographic entanglement negativity for such mixed states in a $CFT_{1+1}$ dual to a bulk Vaidya-$AdS_3$ geometry in the context of their thermalization involving bulk black hole formation.

[ { "created": "Fri, 7 Dec 2018 17:30:07 GMT", "version": "v1" }, { "created": "Fri, 5 Jul 2019 13:40:09 GMT", "version": "v2" } ]

2019-07-16

[ [ "Malvimat", "Vinay", "" ], [ "Mondal", "Sayid", "" ], [ "Paul", "Boudhayan", "" ], [ "Sengupta", "Gautam", "" ] ]

We advance a construction for the covariant holographic entanglement negativity for time dependent mixed states of disjoint intervals in $(1+1)$ dimensional conformal field theories ($CFT_{1+1}$) dual to bulk non static $AdS_3$ geometries. Application of our proposal to such mixed states in a $CFT_{1+1}$ dual to bulk non extremal and extremal rotating BTZ black holes exactly reproduces the replica technique results in the large central charge limit. We also investigate the time dependent holographic entanglement negativity for such mixed states in a $CFT_{1+1}$ dual to a bulk Vaidya-$AdS_3$ geometry in the context of their thermalization involving bulk black hole formation.

5.947186

3.623245

6.57807

4.193314

4.085346

4.290359

4.04505

4.44176

4.561282

6.698915

4.539941

5.046425

5.926928

5.129718

4.987563

5.096776

5.019411

4.989229

5.215352

5.83205

5.256046

hep-th/0003070

Claus Zahlten

Haru-Tada Sato, Michael G. Schmidt and Claus Zahlten

Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action

34 pages, 3 figures

Nucl.Phys. B579 (2000) 492-524

10.1016/S0550-3213(00)00220-0

HD-THEP-00-13

hep-th hep-ph

null

Within the framework of the world-line formalism we write down in detail a two-loop Euler-Heisenberg type action for gluon loops in Yang-Mills theory and discuss its divergence structure. We exactly perform all the world-line moduli integrals at two loops by inserting a mass parameter, and then extract divergent coefficients to be renormalized.

[ { "created": "Thu, 9 Mar 2000 15:48:26 GMT", "version": "v1" } ]

2009-10-31

[ [ "Sato", "Haru-Tada", "" ], [ "Schmidt", "Michael G.", "" ], [ "Zahlten", "Claus", "" ] ]

Within the framework of the world-line formalism we write down in detail a two-loop Euler-Heisenberg type action for gluon loops in Yang-Mills theory and discuss its divergence structure. We exactly perform all the world-line moduli integrals at two loops by inserting a mass parameter, and then extract divergent coefficients to be renormalized.

18.515835

15.81729

15.755342

14.622977

15.025598

15.844348

17.017231

15.003238

14.014582

15.510295

13.728159

13.919996

15.054531

14.336011

15.056178

14.719646

14.889654

14.964067

13.268205

14.703535

14.334507

1009.0745

Michael C. Ogilvie

Peter N. Meisinger, Michael C. Ogilvie and Timothy D. Wiser

PT Symmetry and the Sign Problem

11 pages, 3 figures

null

hep-th hep-lat quant-ph

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

Generalized PT symmetry provides crucial insight into the sign problem for two classes of models. In the case of quantum statistical models at non-zero chemical potential, the free energy density is directly related to the ground state energy of a non-Hermitian, but generalized PT-symmetric Hamiltonian. There is a corresponding class of PT-symmetric classical statistical mechanics models with non-Hermitian transfer matrices. For both quantum and classical models, the class of models with generalized PT symmetry is precisely the class where the complex weight problem can be reduced to real weights, i.e., a sign problem. The spatial two-point functions of such models can exhibit three different behaviors: exponential decay, oscillatory decay, and periodic behavior. The latter two regions are associated with PT symmetry breaking, where a Hamiltonian or transfer matrix has complex conjugate pairs of eigenvalues. The transition to a spatially modulated phase is associated with PT symmetry breaking of the ground state, and is generically a first-order transition. In the region where PT symmetry is unbroken, the sign problem can always be solved in principle. Moreover, there are models with PT symmetry which can be simulated for all parameter values, including cases where PT symmetry is broken.

[ { "created": "Fri, 3 Sep 2010 19:55:59 GMT", "version": "v1" } ]

2010-09-06

[ [ "Meisinger", "Peter N.", "" ], [ "Ogilvie", "Michael C.", "" ], [ "Wiser", "Timothy D.", "" ] ]

Generalized PT symmetry provides crucial insight into the sign problem for two classes of models. In the case of quantum statistical models at non-zero chemical potential, the free energy density is directly related to the ground state energy of a non-Hermitian, but generalized PT-symmetric Hamiltonian. There is a corresponding class of PT-symmetric classical statistical mechanics models with non-Hermitian transfer matrices. For both quantum and classical models, the class of models with generalized PT symmetry is precisely the class where the complex weight problem can be reduced to real weights, i.e., a sign problem. The spatial two-point functions of such models can exhibit three different behaviors: exponential decay, oscillatory decay, and periodic behavior. The latter two regions are associated with PT symmetry breaking, where a Hamiltonian or transfer matrix has complex conjugate pairs of eigenvalues. The transition to a spatially modulated phase is associated with PT symmetry breaking of the ground state, and is generically a first-order transition. In the region where PT symmetry is unbroken, the sign problem can always be solved in principle. Moreover, there are models with PT symmetry which can be simulated for all parameter values, including cases where PT symmetry is broken.

7.130781

7.869674

7.936588

7.694067

8.789967

8.874318

7.984973

8.229521

7.484592

8.351131

7.716416

7.511489

7.497801

7.507226

7.41865

7.522884

7.468086

7.480783

7.441792

7.57475

7.428891

hep-th/9401115

Connie Jones

S.G.Rajeev

Quantum Hadrondynamics in Two Dimensions

59 pages

Int.J.Mod.Phys. A9 (1994) 5583-5624

10.1142/S0217751X94002284

UR-1341, ER-40685-790

hep-th hep-ph

null

A nonlocal and nonlinear theory of hadrons, equivalent to the color singlet sector two dimensional QCD, is constructed. The phase space space of this theory is an infinite dimensional Grassmannian. The baryon number of QCD corresponds to a topological invariant (`virtual rank') of the Grassmannian. It is shown that the hadron theory has topological solitons corresponding to the baryons of QCD. ${1\over N_c}$ plays the role of $\hbar$ in this theory; $N_c$ must be an integer for topological reasons. We also describe the quantization of a toy model with a finite dimensional Grassmannian as the phase space. In an appendix, we show that the usual Hartree--Fock theory of atomic and condensed matter physics has a natural formulation in terms of infinite dimensional Grassmannians.

[ { "created": "Mon, 24 Jan 1994 15:47:38 GMT", "version": "v1" } ]

2015-06-26

[ [ "Rajeev", "S. G.", "" ] ]

A nonlocal and nonlinear theory of hadrons, equivalent to the color singlet sector two dimensional QCD, is constructed. The phase space space of this theory is an infinite dimensional Grassmannian. The baryon number of QCD corresponds to a topological invariant (`virtual rank') of the Grassmannian. It is shown that the hadron theory has topological solitons corresponding to the baryons of QCD. ${1\over N_c}$ plays the role of $\hbar$ in this theory; $N_c$ must be an integer for topological reasons. We also describe the quantization of a toy model with a finite dimensional Grassmannian as the phase space. In an appendix, we show that the usual Hartree--Fock theory of atomic and condensed matter physics has a natural formulation in terms of infinite dimensional Grassmannians.

9.198252

8.79556

8.029813

7.999024

8.701065

8.194981

8.394669

7.994057

8.195383

8.72535

8.167873

7.939392

8.649578

8.165287

8.420311

8.207458

7.996395

8.083068

8.008993

8.454948

8.110842

hep-th/9804151

null

Isabel P. Ennes (Brandeis Univ.), Stephen G. Naculich (Bowdoin College), Henric Rhedin (Brandeis Univ.), and Howard J. Schnitzer (Brandeis Univ. and Harvard Univ.)

One Instanton Predictions of a Seiberg-Witten curve from M-theory: the Symmetric Representation of SU(N)

31 p., plain latex

Int.J.Mod.Phys. A14 (1999) 301-321

10.1142/S0217751X99000166

BRX-TH-433, BOW-PH-111, HUTP-98/A39

hep-th

null

We consider N=2 supersymmetric Yang-Mills theories in four dimensions with gauge group SU(N) for N larger than two. Using the cubic curve for a matter hypermultiplet transforming in the symmetric representation, obtained from M-theory by Landsteiner and Lopez, we calculate the prepotential up to the one instanton correction. We treat the curve to be approximately hyperelliptic and perform a perturbation expansion for the Seiberg-Witten differential to get the one instanton contribution. We find that it reproduces the correct result for one-loop, and we obtain the prediction for that curve for the one instanton correction term.

[ { "created": "Thu, 23 Apr 1998 01:21:02 GMT", "version": "v1" } ]

2009-10-31

[ [ "Ennes", "Isabel P.", "", "Brandeis Univ." ], [ "Naculich", "Stephen G.", "", "Bowdoin\n College" ], [ "Rhedin", "Henric", "", "Brandeis Univ." ], [ "Schnitzer", "Howard J.", "", "Brandeis\n Univ. and Harvard Univ." ] ]

We consider N=2 supersymmetric Yang-Mills theories in four dimensions with gauge group SU(N) for N larger than two. Using the cubic curve for a matter hypermultiplet transforming in the symmetric representation, obtained from M-theory by Landsteiner and Lopez, we calculate the prepotential up to the one instanton correction. We treat the curve to be approximately hyperelliptic and perform a perturbation expansion for the Seiberg-Witten differential to get the one instanton contribution. We find that it reproduces the correct result for one-loop, and we obtain the prediction for that curve for the one instanton correction term.

10.14872

8.675973

13.33437

9.26363

9.346264

9.474279

8.85932

8.440924

9.482605

12.931759

9.043511

9.415637

10.656453

9.221972

9.782089

9.737218

9.895623

9.44396

9.889682

11.019394

9.675589

2206.03340

Augusto Sagnotti Prof.

J. Mourad, A. Sagnotti

A 4D IIB Flux Vacuum and Supersymmetry Breaking. I. Fermionic Spectrum

63 pages, LaTeX, 3 eps figures. Minor clarifications added. Final version to appear in JHEP

null

10.1007/JHEP08(2022)301

null

hep-th gr-qc hep-ph

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

We consider the type-IIB supergravity vacua that include an internal $T^5$, depend on a single coordinate $r$ and respect a four-dimensional Poincar\'e symmetry, with the aim of highlighting low-energy spectra with broken supersymmetry and a bounded string coupling. These vacua are characterized by the flux $\Phi$ of the self-dual five form in the internal torus, the length $\ell$ of the interval described by the coordinate $r$, a dilaton profile that is inevitably constant and a strictly positive dimensionless parameter $h$. As $\ell\rightarrow\infty$ while retaining finite values for $\Phi$ and $\ell \,h^{-\,\frac{5}{4}}$, half of the original ten-dimensional supersymmetry is recovered, while finite values of $\ell$ break it completely. In the large-$\ell$ limit one boundary disappears but the other is still present, and is felt as a BPS orientifold by a probe brane. In this paper we focus on the fermionic zero modes and show that, although supersymmetry is broken for finite values of $\ell$, they are surprisingly those of four-dimensional $N=4$ supergravity coupled to five vector multiplets. The gravitini can acquire masses via radiative corrections, absorbing four of the massless spin-$\frac{1}{2}$ modes.

[ { "created": "Tue, 7 Jun 2022 14:23:33 GMT", "version": "v1" }, { "created": "Thu, 4 Aug 2022 13:29:32 GMT", "version": "v2" } ]

2022-09-14

[ [ "Mourad", "J.", "" ], [ "Sagnotti", "A.", "" ] ]

We consider the type-IIB supergravity vacua that include an internal $T^5$, depend on a single coordinate $r$ and respect a four-dimensional Poincar\'e symmetry, with the aim of highlighting low-energy spectra with broken supersymmetry and a bounded string coupling. These vacua are characterized by the flux $\Phi$ of the self-dual five form in the internal torus, the length $\ell$ of the interval described by the coordinate $r$, a dilaton profile that is inevitably constant and a strictly positive dimensionless parameter $h$. As $\ell\rightarrow\infty$ while retaining finite values for $\Phi$ and $\ell \,h^{-\,\frac{5}{4}}$, half of the original ten-dimensional supersymmetry is recovered, while finite values of $\ell$ break it completely. In the large-$\ell$ limit one boundary disappears but the other is still present, and is felt as a BPS orientifold by a probe brane. In this paper we focus on the fermionic zero modes and show that, although supersymmetry is broken for finite values of $\ell$, they are surprisingly those of four-dimensional $N=4$ supergravity coupled to five vector multiplets. The gravitini can acquire masses via radiative corrections, absorbing four of the massless spin-$\frac{1}{2}$ modes.

9.862613

11.086238

11.380859

9.511234

10.896655

10.686284

10.298683

10.123854

9.968924

12.125267

9.787885

10.045068

10.444212

9.796689

9.631041

10.041337

9.872625

10.031213

9.729123

10.740074

9.648546

1702.02416

Mois\'es Bravo Gaete

Mois\'es Bravo Gaete, Luis Guajardo and Mokhtar Hassa\"ine

A Cardy-like formula for rotating black holes with planar horizon

Published in JHEP04(2017)092

null

10.1007/JHEP04(2017)092

null

hep-th

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

We show that the semiclassical entropy of $D$-dimensional rotating (an)isotropic black holes with planar horizon can be successfully computed according to a Cardy-like formula. This formula does not refer to any central charges but instead involves the vacuum energy which is identified with a gravitational bulk soliton. The soliton is obtained from the non-rotating black hole solution by means of a double analytic continuation. The robustness of the Cardy-like formula is tested with numerous and varied examples, including AdS, Lifshitz and hyperscaling violation planar black holes.

[ { "created": "Wed, 8 Feb 2017 13:33:19 GMT", "version": "v1" }, { "created": "Fri, 10 Feb 2017 14:58:37 GMT", "version": "v2" }, { "created": "Tue, 21 Mar 2017 21:30:15 GMT", "version": "v3" }, { "created": "Thu, 23 Mar 2017 14:12:04 GMT", "version": "v4" }, { "created": "Tue, 18 Apr 2017 11:47:06 GMT", "version": "v5" } ]

2017-04-19

[ [ "Gaete", "Moisés Bravo", "" ], [ "Guajardo", "Luis", "" ], [ "Hassaïne", "Mokhtar", "" ] ]

We show that the semiclassical entropy of $D$-dimensional rotating (an)isotropic black holes with planar horizon can be successfully computed according to a Cardy-like formula. This formula does not refer to any central charges but instead involves the vacuum energy which is identified with a gravitational bulk soliton. The soliton is obtained from the non-rotating black hole solution by means of a double analytic continuation. The robustness of the Cardy-like formula is tested with numerous and varied examples, including AdS, Lifshitz and hyperscaling violation planar black holes.

10.386762

8.207555

10.123117

8.823198

8.790373

9.057492

8.877988

8.638279

9.034694

10.337108

8.479447

9.226733

10.055067

9.239192

9.053256

9.156117

9.02669

9.311526

8.843232

9.396001

8.852668

hep-th/9211124

David Atkinson

D. Atkinson, V.P. Gusynin and P. Maris

Chiral Symmetry Breaking with the Curtis-Pennington Vertex

19 pages, LaTeX

Phys.Lett. B303 (1993) 157-162

10.1016/0370-2693(93)90061-L

null

hep-th

null

We study chiral symmetry breaking in quenched QED$_4$, using a vertex Ansatz recently proposed by Curtis and Pennington. Bifurcation analysis is employed to establish the existence of a critical coupling and to estimate its value. The main results are in qualitative agreement with the ladder approximation, the numerical changes being minor.

[ { "created": "Thu, 26 Nov 1992 12:02:58 GMT", "version": "v1" } ]

2009-10-22

[ [ "Atkinson", "D.", "" ], [ "Gusynin", "V. P.", "" ], [ "Maris", "P.", "" ] ]

We study chiral symmetry breaking in quenched QED$_4$, using a vertex Ansatz recently proposed by Curtis and Pennington. Bifurcation analysis is employed to establish the existence of a critical coupling and to estimate its value. The main results are in qualitative agreement with the ladder approximation, the numerical changes being minor.

12.675511

10.97295

9.213875

8.735744

11.433128

10.113066

10.17942

9.693678

8.162984

8.472435

9.379503

10.39631

10.51674

9.973789

11.02812

11.188228

10.182498

11.177814

9.825109

10.64122

10.728765

hep-th/0211149

Anton Rebhan

A. Rebhan, P. van Nieuwenhuizen, R. Wimmer

Comment on `One Loop Renormalization of Soliton Quantum Mass Corrections in 1+1 Dimensional Scalar Field Theory Models' (Phys. Lett. B542 (2002) 282 [hep-th/0206047])

6 pages LATEX2e, using elsart.cls, 1 figure

Phys.Lett. B552 (2003) 17-20

10.1016/S0370-2693(02)03094-0

TUW-02-24, YITP-SB-02-62

hep-th

null

We refute the claim that previous works on the one-loop quantum mass of solitons had incorrectly dropped a surface term from a partial integration. Rather, the paper quoted in the title contains a fallacious derivation with two compensating errors. We also remark that the $\phi^2\cos^2\ln(\phi^2)$ model considered in that paper does not have solitons at the quantum level because at two-loop order the degeneracy of the vacua is lifted. This may be remedied, however, by a supersymmetric extension.

[ { "created": "Mon, 18 Nov 2002 20:43:30 GMT", "version": "v1" } ]

2009-11-07

[ [ "Rebhan", "A.", "" ], [ "van Nieuwenhuizen", "P.", "" ], [ "Wimmer", "R.", "" ] ]

We refute the claim that previous works on the one-loop quantum mass of solitons had incorrectly dropped a surface term from a partial integration. Rather, the paper quoted in the title contains a fallacious derivation with two compensating errors. We also remark that the $\phi^2\cos^2\ln(\phi^2)$ model considered in that paper does not have solitons at the quantum level because at two-loop order the degeneracy of the vacua is lifted. This may be remedied, however, by a supersymmetric extension.

16.083397

13.776134

14.280998

13.046216

15.211321

13.100884

13.691941

12.450535

12.21045

16.919163

13.195929

12.771571

14.362295

13.279991

13.097474

13.104784

13.103834

13.138376

13.193114

13.761939

13.291483

1602.01858

Mikhail Isachenkov

Mikhail Isachenkov and Volker Schomerus

Superintegrability of $d$-dimensional Conformal Blocks

5 pages

Phys. Rev. Lett. 117, 071602 (2016)

10.1103/PhysRevLett.117.071602

WIS/02/16-FEB-DPPA

hep-th

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

We observe that conformal blocks of scalar 4-point functions in a $d$-dimensional conformal field theory can mapped to eigenfunctions of a 2-particle hyperbolic Calogero-Sutherland Hamiltonian. The latter describes two coupled P\"oschl-Teller particles. Their interaction, whose strength depends smoothly on the dimension $d$, is known to be superintegrable. Our observation enables us to exploit the rich mathematical literature on Calogero-Sutherland models in deriving various results for conformal field theory. These include an explicit construction of conformal blocks in terms of Heckman-Opdam hypergeometric functions and a remarkable duality that relates the blocks of theories in different dimensions.

[ { "created": "Thu, 4 Feb 2016 21:34:50 GMT", "version": "v1" } ]

2016-08-17

[ [ "Isachenkov", "Mikhail", "" ], [ "Schomerus", "Volker", "" ] ]

We observe that conformal blocks of scalar 4-point functions in a $d$-dimensional conformal field theory can mapped to eigenfunctions of a 2-particle hyperbolic Calogero-Sutherland Hamiltonian. The latter describes two coupled P\"oschl-Teller particles. Their interaction, whose strength depends smoothly on the dimension $d$, is known to be superintegrable. Our observation enables us to exploit the rich mathematical literature on Calogero-Sutherland models in deriving various results for conformal field theory. These include an explicit construction of conformal blocks in terms of Heckman-Opdam hypergeometric functions and a remarkable duality that relates the blocks of theories in different dimensions.

5.934378

6.195526

7.150265

6.296988

6.341117

6.209636

6.746561

6.407701

6.011775

7.71031

6.122672

5.736276

6.623075

5.949986

5.916302

5.912606

6.100276

5.983569

6.163764

6.160544

5.928926

1307.3234

Kristan Jensen

Kristan Jensen, Pavel Kovtun, Adam Ritz

Chiral conductivities and effective field theory

53 pages, 2 figures

null

10.1007/JHEP10(2013)186

null

hep-th

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

We construct the three-dimensional effective field theory which reproduces low-momentum static correlation functions in four-dimensional quantum field theories with U(1) axial anomalies and a dynamical vector gauge field, in thermal equilibrium. We compute radiative corrections to parity-violating chiral conductivities, to leading order in the effective theory. All of the anomaly-induced transport is susceptible to radiative corrections, except for certain two-point functions which are required by symmetry to vanish.

[ { "created": "Thu, 11 Jul 2013 19:52:18 GMT", "version": "v1" } ]

2013-11-27

[ [ "Jensen", "Kristan", "" ], [ "Kovtun", "Pavel", "" ], [ "Ritz", "Adam", "" ] ]

We construct the three-dimensional effective field theory which reproduces low-momentum static correlation functions in four-dimensional quantum field theories with U(1) axial anomalies and a dynamical vector gauge field, in thermal equilibrium. We compute radiative corrections to parity-violating chiral conductivities, to leading order in the effective theory. All of the anomaly-induced transport is susceptible to radiative corrections, except for certain two-point functions which are required by symmetry to vanish.

14.794396

14.064453

15.334368

13.188688

12.66724

13.777579

14.557042

12.272851

13.609043

16.117176

13.008866

12.911059

13.922959

12.640098

13.166194

13.028108

12.688247

12.66778

13.092248

14.743511

12.408336

1708.05716

Austin Joyce

Kurt Hinterbichler, Austin Joyce, Rachel A. Rosen

Massive Spin-2 Scattering and Asymptotic Superluminality

46 pages, 1 figure. v2: Minor corrections. v3: Minor edits; orthogonalized \oplus tensor polarizations. Results are unaffected

JHEP 1803 (2018) 051

10.1007/JHEP03(2018)051

null

hep-th gr-qc hep-ph

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

We place model-independent constraints on theories of massive spin-2 particles by considering the positivity of the phase shift in eikonal scattering. The phase shift is an asymptotic $S$-matrix observable, related to the time delay/advance experienced by a particle during scattering. Demanding the absence of a time advance leads to constraints on the cubic vertices present in the theory. We find that, in theories with massive spin-2 particles, requiring no time advance means that either: (i) the cubic vertices must appear as a particular linear combination of the Einstein-Hilbert cubic vertex and an $h_{\mu\nu}^3$ potential term or (ii) new degrees of freedom or strong coupling must enter at parametrically the mass of the massive spin-2 field. These conclusions have implications for a variety of situations. Applied to theories of large-$N$ QCD, this indicates that any spectrum with an isolated massive spin-2 at the bottom must have these particular cubic self-couplings. Applied to de Rham-Gabadadze-Tolley massive gravity, the constraint is in accord with and generalizes previous results obtained from a shockwave calculation: of the two free dimensionless parameters in the theory there is a one parameter line consistent with a subluminal phase shift.

[ { "created": "Fri, 18 Aug 2017 18:00:00 GMT", "version": "v1" }, { "created": "Thu, 14 Sep 2017 16:09:16 GMT", "version": "v2" }, { "created": "Tue, 19 Dec 2017 05:16:01 GMT", "version": "v3" } ]

2018-03-16

[ [ "Hinterbichler", "Kurt", "" ], [ "Joyce", "Austin", "" ], [ "Rosen", "Rachel A.", "" ] ]

We place model-independent constraints on theories of massive spin-2 particles by considering the positivity of the phase shift in eikonal scattering. The phase shift is an asymptotic $S$-matrix observable, related to the time delay/advance experienced by a particle during scattering. Demanding the absence of a time advance leads to constraints on the cubic vertices present in the theory. We find that, in theories with massive spin-2 particles, requiring no time advance means that either: (i) the cubic vertices must appear as a particular linear combination of the Einstein-Hilbert cubic vertex and an $h_{\mu\nu}^3$ potential term or (ii) new degrees of freedom or strong coupling must enter at parametrically the mass of the massive spin-2 field. These conclusions have implications for a variety of situations. Applied to theories of large-$N$ QCD, this indicates that any spectrum with an isolated massive spin-2 at the bottom must have these particular cubic self-couplings. Applied to de Rham-Gabadadze-Tolley massive gravity, the constraint is in accord with and generalizes previous results obtained from a shockwave calculation: of the two free dimensionless parameters in the theory there is a one parameter line consistent with a subluminal phase shift.

10.080457

10.412396

11.257112

9.882698

10.955402

10.322425

10.362514

9.957359

9.692615

12.100916

9.859514

9.689128

9.907009

9.814282

9.787537

9.494377

9.62678

9.701992

9.701049

10.155119

9.520996

2402.07551

Sergio Cacciatori

Sergio L. Cacciatori, Fabrizio Canfora, Federica Muscolino

Pearcey integrals, Stokes lines and exact baryonic layers in the low energy limit of QCD

31 pages, 8 figures

null

hep-th hep-ph nucl-th

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

The first analytic solutions representing baryonic layers living at finite baryon density within a constant magnetic field in the gauged Skyrme model are constructed. A remarkable feature of these configurations is that, if the Skyrme term is neglected, then these baryonic layers in the constant magnetic background cannot be found analytically and their energies grow very fast with the magnetic field. On the other hand, if the Skyrme term is taken into account, the field equations can be solved analytically and the corresponding solutions have a smooth limit for large magnetic fields. Thus, the Skyrme term discloses the universal character of these configurations living at finite Baryon density in a constant magnetic field. The classical gran-canonical partition function of these configurations can be expressed explicitly in terms of the Pearcey integral. This fact allows us to determine analytically the Stokes lines of the partition function and the corresponding dependence on the baryonic chemical potential as well as on the external magnetic field. In this way, we can determine various critical curves in the ($\mu_B-B_{ext}$) plane which separates different physical behaviors. These families of inhomogeneous baryonic condensates can be also dressed with chiral conformal excitations of the solutions representing modulations of the layers themselves. Some physical consequences are analyzed.

[ { "created": "Mon, 12 Feb 2024 10:34:32 GMT", "version": "v1" } ]

2024-02-13

[ [ "Cacciatori", "Sergio L.", "" ], [ "Canfora", "Fabrizio", "" ], [ "Muscolino", "Federica", "" ] ]

The first analytic solutions representing baryonic layers living at finite baryon density within a constant magnetic field in the gauged Skyrme model are constructed. A remarkable feature of these configurations is that, if the Skyrme term is neglected, then these baryonic layers in the constant magnetic background cannot be found analytically and their energies grow very fast with the magnetic field. On the other hand, if the Skyrme term is taken into account, the field equations can be solved analytically and the corresponding solutions have a smooth limit for large magnetic fields. Thus, the Skyrme term discloses the universal character of these configurations living at finite Baryon density in a constant magnetic field. The classical gran-canonical partition function of these configurations can be expressed explicitly in terms of the Pearcey integral. This fact allows us to determine analytically the Stokes lines of the partition function and the corresponding dependence on the baryonic chemical potential as well as on the external magnetic field. In this way, we can determine various critical curves in the ($\mu_B-B_{ext}$) plane which separates different physical behaviors. These families of inhomogeneous baryonic condensates can be also dressed with chiral conformal excitations of the solutions representing modulations of the layers themselves. Some physical consequences are analyzed.

9.887461

9.154164

10.042481

9.362242

9.422022

9.570709

9.762705

9.688807

9.138108

11.562863

8.793893

9.455689

9.340787

9.227919

9.376312

9.237776

9.205544

9.344979

9.270938

9.860807

9.230766

hep-th/0007237

Don N. Page

Subsystem Entropy Exceeding Bekenstein's Bound

9 pages, LaTeX

null

Alberta-Thy-08-00

hep-th gr-qc

null

If Bekenstein's conjectured bound on the microcanonical entropy, S < 2 pi E R, is applied to a closed subsystem of maximal linear size R and excitation energy up through E, it can be violated by an arbitrarily large factor by a scalar field having a symmetric potential allowing domain walls, and by the electromagnetic field modes in a coaxial cable.

[ { "created": "Fri, 28 Jul 2000 22:58:17 GMT", "version": "v1" } ]

2007-05-23

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

If Bekenstein's conjectured bound on the microcanonical entropy, S < 2 pi E R, is applied to a closed subsystem of maximal linear size R and excitation energy up through E, it can be violated by an arbitrarily large factor by a scalar field having a symmetric potential allowing domain walls, and by the electromagnetic field modes in a coaxial cable.

23.943676

19.113491

26.107471

16.345533

19.91555

24.305412

24.230278

21.185568

19.197601

25.383526

22.331249

17.62738

21.065432

18.820793

18.872211

20.104582

18.069183

18.610643

18.175278

20.086836

19.995081

1008.4142

Masahiro Ohta

Makoto Natsuume, Masahiro Ohta

The shear viscosity of holographic superfluids

22 pages, PTPTeX

Prog.Theor.Phys.124:931-951,2010

10.1143/PTP.124.931

KEK-TH-1390

hep-th

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

We study the ratio of the shear viscosity to the entropy density for various holographic superfluids. For the s-wave case, the ratio has the universal value 1/(4pi) as in various holographic models. For the p-wave case, there are two shear viscosity coefficients because of the anisotropic boundary spacetime, and one coefficient has the universal value. For the (p+ip)-wave case, the existing technique is not applicable since there is no tensor mode of metric perturbations which decouples from Yang-Mills perturbations. Our results indicate that the shear viscosity does not show a singular behavior at the critical point for holographic superfluids.

[ { "created": "Tue, 24 Aug 2010 20:04:45 GMT", "version": "v1" }, { "created": "Mon, 8 Nov 2010 06:50:37 GMT", "version": "v2" } ]

2011-03-15

[ [ "Natsuume", "Makoto", "" ], [ "Ohta", "Masahiro", "" ] ]

We study the ratio of the shear viscosity to the entropy density for various holographic superfluids. For the s-wave case, the ratio has the universal value 1/(4pi) as in various holographic models. For the p-wave case, there are two shear viscosity coefficients because of the anisotropic boundary spacetime, and one coefficient has the universal value. For the (p+ip)-wave case, the existing technique is not applicable since there is no tensor mode of metric perturbations which decouples from Yang-Mills perturbations. Our results indicate that the shear viscosity does not show a singular behavior at the critical point for holographic superfluids.

6.89628

6.032157

7.205548

6.047122

6.232752

6.174267

6.632705

5.931213

6.156062

7.596912

5.973776

6.499157

7.292749

6.816389

6.670141

6.405583

6.868231

6.456508

6.645226

7.162096

6.381615

hep-th/0010043

Mikhail Olshanetsky

A. Levin, M. Olshanetsky

Hamiltonian Algebroid Symmetries in W-gravity and Poisson sigma-model

Several changes, the definition of algebroid representation is modified, typos corrected, LateX, 28 pages

null

ITEP-TH-15/00, IHES/P/00/69

hep-th math.DG

null

Starting from a Lie algebroid ${\cal A}$ over a space V we lift its action to the canonical transformations on the principle affine bundle ${\cal R}$ over the cotangent bundle $T^*V$. Such lifts are classified by the first cohomology $H^1({\cal A})$. The resulting object is the Hamiltonian algebroid ${\cal A}^H$ over ${\cal R}$ with the anchor map from $\G({\cal A}^H)$ to Hamiltonians of canonical transformations. Hamiltonian algebroids generalize the Lie algebras of canonical transformations. We prove that the BRST operator for ${\cal A}^H$ is cubic in the ghost fields as in the Lie algebra case. To illustrate this construction we analyze two topological field theories. First, we define a Lie algebroid over the space $V_3$ of $\SL$-opers on a Riemann curve $\Si_{g,n}$ of genus g with n marked points. The sections of this algebroid are the second order differential operators on $\Si_{g,n}$. The algebroid is lifted to the Hamiltonian algebroid over the phase space of $W_3$-gravity. We describe the BRST operator leading to the moduli space of $W_3$-gravity. In accordance with the general construction the BRST operator is cubic in the ghost fields. We present the Chern-Simons explanation of our results. The second example is the Hamiltonian algebroid structure in the Poisson sigma-model invoked by Cattaneo and Felder to describe the Kontsevich deformation quantization formula. The hamiltonian description of the Poisson sigma-model leads to the Lie algebraic form of the BRST operator.

[ { "created": "Fri, 6 Oct 2000 12:05:31 GMT", "version": "v1" }, { "created": "Mon, 27 Nov 2000 11:45:41 GMT", "version": "v2" }, { "created": "Fri, 2 Feb 2001 17:18:06 GMT", "version": "v3" } ]

2016-09-06

[ [ "Levin", "A.", "" ], [ "Olshanetsky", "M.", "" ] ]

Starting from a Lie algebroid ${\cal A}$ over a space V we lift its action to the canonical transformations on the principle affine bundle ${\cal R}$ over the cotangent bundle $T^*V$. Such lifts are classified by the first cohomology $H^1({\cal A})$. The resulting object is the Hamiltonian algebroid ${\cal A}^H$ over ${\cal R}$ with the anchor map from $\G({\cal A}^H)$ to Hamiltonians of canonical transformations. Hamiltonian algebroids generalize the Lie algebras of canonical transformations. We prove that the BRST operator for ${\cal A}^H$ is cubic in the ghost fields as in the Lie algebra case. To illustrate this construction we analyze two topological field theories. First, we define a Lie algebroid over the space $V_3$ of $\SL$-opers on a Riemann curve $\Si_{g,n}$ of genus g with n marked points. The sections of this algebroid are the second order differential operators on $\Si_{g,n}$. The algebroid is lifted to the Hamiltonian algebroid over the phase space of $W_3$-gravity. We describe the BRST operator leading to the moduli space of $W_3$-gravity. In accordance with the general construction the BRST operator is cubic in the ghost fields. We present the Chern-Simons explanation of our results. The second example is the Hamiltonian algebroid structure in the Poisson sigma-model invoked by Cattaneo and Felder to describe the Kontsevich deformation quantization formula. The hamiltonian description of the Poisson sigma-model leads to the Lie algebraic form of the BRST operator.

5.701375

5.07807

6.650541

5.30109

5.422608

4.886293

5.234608

5.141645

5.04761

6.970629

5.050653

5.534603

5.948163

5.522833

5.515826

5.468071

5.464043

5.468583

5.532577

5.871054

5.45798

2312.02257

Panos Betzios

Panos Betzios, Nava Gaddam and Olga Papadoulaki

Black hole - wormhole transitions in two dimensional string theory

48 pages, 3 figures

null

hep-th

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

We study charged black hole and wormhole solutions of Type 0A/IIA string theory in two dimensions. There is a competition between Euclidean wormholes and near extremal black holes in the thermodynamic ensemble. In a certain regime of phase space, the former can disassociate into the latter. Since such solutions are of string scale near the wormhole throat that takes an $AdS_2$ form, there is a need for an exact worldsheet description. We discuss relevant WZW coset models which we we argue will shed light on this problem. Finally, we present appropriate versions of the Type 0A/IIA matrix quantum mechanics models that are expected to describe these geometries.

[ { "created": "Mon, 4 Dec 2023 19:00:00 GMT", "version": "v1" } ]

2023-12-06

[ [ "Betzios", "Panos", "" ], [ "Gaddam", "Nava", "" ], [ "Papadoulaki", "Olga", "" ] ]

We study charged black hole and wormhole solutions of Type 0A/IIA string theory in two dimensions. There is a competition between Euclidean wormholes and near extremal black holes in the thermodynamic ensemble. In a certain regime of phase space, the former can disassociate into the latter. Since such solutions are of string scale near the wormhole throat that takes an $AdS_2$ form, there is a need for an exact worldsheet description. We discuss relevant WZW coset models which we we argue will shed light on this problem. Finally, we present appropriate versions of the Type 0A/IIA matrix quantum mechanics models that are expected to describe these geometries.

13.195501

12.774936

16.600676

12.314838

13.12243

13.199764

12.856095

12.438213

12.718896

16.450274

11.941512

12.784019

13.515578

12.329754

12.625628

12.537769

12.159959

12.619961

12.631336

13.638506

12.19604

1008.0324

Michael Seifert

Michael D. Seifert

A monopole solution in a Lorentz-violating field theory

4 pages, 1 figure

Phys.Rev.Lett.105:201601,2010

10.1103/PhysRevLett.105.201601

IUHET 546, August 2010

hep-th gr-qc

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

I present a topological defect solution that arises in a theory where Lorentz symmetry is spontaneously broken by a rank-two antisymmetric tensor field, and I discuss its observational signatures.

[ { "created": "Mon, 2 Aug 2010 15:13:58 GMT", "version": "v1" } ]

2010-12-02

[ [ "Seifert", "Michael D.", "" ] ]

I present a topological defect solution that arises in a theory where Lorentz symmetry is spontaneously broken by a rank-two antisymmetric tensor field, and I discuss its observational signatures.

11.631554

8.569829

7.818184

7.852261

8.883081

8.186177

8.619758

8.407097

8.694828

8.922562

9.295145

9.183792

8.223434

8.490584

8.690493

9.717444

8.547867

8.899288

8.495733

8.214859

8.812127

2312.00667

Ziqi Zhang

Ziqi Zhang, Zhi Hu, Siqi Xu, Chandan Mondal, Xingbo Zhao and James P. Vary

Twist-3 Generalized Parton Distribution for the Proton from Basis Light-Front Quantization

null

hep-th

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

We investigate the twist-3 generalized parton distributions (GPDs) for the valence quarks of the proton within the basis light-front quantization (BLFQ) framework. We first solve for the mass spectra and light-front waved functions (LFWFs) in the leading Fock sector using an effective Hamiltonian. Using the LFWFs we then calculate the twist-3 GPDs via the overlap representation. By taking the forward limit, we also get the twist-3 parton distribution functions (PDFs), and discuss their properties. Our prediction for the twist-3 scalar PDF agrees well with the CLAS experimental extractions.

[ { "created": "Fri, 1 Dec 2023 15:48:45 GMT", "version": "v1" } ]

2023-12-04

[ [ "Zhang", "Ziqi", "" ], [ "Hu", "Zhi", "" ], [ "Xu", "Siqi", "" ], [ "Mondal", "Chandan", "" ], [ "Zhao", "Xingbo", "" ], [ "Vary", "James P.", "" ] ]

We investigate the twist-3 generalized parton distributions (GPDs) for the valence quarks of the proton within the basis light-front quantization (BLFQ) framework. We first solve for the mass spectra and light-front waved functions (LFWFs) in the leading Fock sector using an effective Hamiltonian. Using the LFWFs we then calculate the twist-3 GPDs via the overlap representation. By taking the forward limit, we also get the twist-3 parton distribution functions (PDFs), and discuss their properties. Our prediction for the twist-3 scalar PDF agrees well with the CLAS experimental extractions.

5.489214

6.770656

4.544004

4.628865

5.486257

6.462891

5.574725

6.02477

4.279571

4.288373

5.739492

5.315498

5.080127

4.959681

5.310352

5.64883

4.966293

5.660629

4.918767

5.004431

5.347846

2003.04405

Amir Raz

Micha Berkooz, Nadav Brukner, Vladimir Narovlansky and Amir Raz

The double scaled limit of Super--Symmetric SYK models

null

J. High Energ. Phys. 2020, 110 (2020)

10.1007/JHEP12(2020)110

null

hep-th cond-mat.stat-mech cond-mat.str-el math-ph math.MP math.PR

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

We compute the exact density of states and 2-point function of the $\mathcal{N} =2$ super-symmetric SYK model in the large $N$ double-scaled limit, by using combinatorial tools that relate the moments of the distribution to sums over oriented chord diagrams. In particular we show how SUSY is realized on the (highly degenerate) Hilbert space of chords. We further calculate analytically the number of ground states of the model in each charge sector at finite $N$, and compare it to the results from the double-scaled limit. Our results reduce to the super-Schwarzian action in the low energy short interaction length limit. They imply that the conformal ansatz of the 2-point function is inconsistent due to the large number of ground states, and we show how to add this contribution. We also discuss the relation of the model to $SL_q(2|1)$. For completeness we present an overview of the $\mathcal{N}=1$ super-symmetric SYK model in the large $N$ double-scaled limit.

[ { "created": "Mon, 9 Mar 2020 20:43:23 GMT", "version": "v1" } ]

2020-12-22

[ [ "Berkooz", "Micha", "" ], [ "Brukner", "Nadav", "" ], [ "Narovlansky", "Vladimir", "" ], [ "Raz", "Amir", "" ] ]

We compute the exact density of states and 2-point function of the $\mathcal{N} =2$ super-symmetric SYK model in the large $N$ double-scaled limit, by using combinatorial tools that relate the moments of the distribution to sums over oriented chord diagrams. In particular we show how SUSY is realized on the (highly degenerate) Hilbert space of chords. We further calculate analytically the number of ground states of the model in each charge sector at finite $N$, and compare it to the results from the double-scaled limit. Our results reduce to the super-Schwarzian action in the low energy short interaction length limit. They imply that the conformal ansatz of the 2-point function is inconsistent due to the large number of ground states, and we show how to add this contribution. We also discuss the relation of the model to $SL_q(2|1)$. For completeness we present an overview of the $\mathcal{N}=1$ super-symmetric SYK model in the large $N$ double-scaled limit.

8.668609

7.852364

9.955544

7.700621

7.97452

8.324813

7.768443

7.641008

7.514149

10.365009

7.81766

8.27142

8.833802

8.185276

7.963509

8.106242

8.193505

8.035879

8.196203

8.954955

8.001188

hep-th/9710054

Benarous Mohamed

Mohamed Benarous

On the Poisson Structure of the Time-Dependent Mean-Field Equations for Systems of Bosons out of Equilibrium

21 pages. To appear in Annals of Physics

Annals Phys. 264 (1998) 1-12

10.1006/aphy.1997.5755

null

hep-th

null

We analyze the Poisson structure of the time-dependent mean-field equations for bosons and construct the Lie-Poisson bracket associated to these equations. The latter follow from the time-dependent variational principle of Balian and Veneroni when a gaussian Ansatz is chosen for the density operator. We perform a stability analysis of both the full and the linearized equations. We also search for the canonically conjugate variables. In certain cases, the evolution equations can indeed be cast in a Hamiltonian form.

[ { "created": "Tue, 7 Oct 1997 09:25:37 GMT", "version": "v1" }, { "created": "Mon, 13 Oct 1997 11:08:41 GMT", "version": "v2" } ]

2009-10-30

[ [ "Benarous", "Mohamed", "" ] ]

We analyze the Poisson structure of the time-dependent mean-field equations for bosons and construct the Lie-Poisson bracket associated to these equations. The latter follow from the time-dependent variational principle of Balian and Veneroni when a gaussian Ansatz is chosen for the density operator. We perform a stability analysis of both the full and the linearized equations. We also search for the canonically conjugate variables. In certain cases, the evolution equations can indeed be cast in a Hamiltonian form.

9.392024

9.716845

12.343513

9.386648

9.920013

10.118601

9.23642

10.167453

9.799065

11.1757

10.071934

9.252103

9.649453

9.315747

9.912828

9.696066

9.669279

9.639774

9.461407

9.487632

9.213482

hep-th/9202033

null

G. Papadopoulos and B. Spence

The Canonical Structure of Wess-Zumino-Witten Models

16pp (revised version - two new sections added and relation with other recent work discussed)

Phys.Lett.B292:321-328,1992

10.1016/0370-2693(92)91182-9

null

hep-th

null

The phase space of the Wess-Zumino-Witten model on a circle with target space a compact, connected, semisimple Lie group $G$ is defined and the corresponding symplectic form is given. We present a careful derivation of the Poisson brackets of the Wess-Zumino-Witten model. We also study the canonical structure of the supersymmetric and the gauged Wess-Zumino-Witten models.

[ { "created": "Mon, 10 Feb 1992 14:28:00 GMT", "version": "v1" }, { "created": "Thu, 30 Apr 1992 15:16:07 GMT", "version": "v2" } ]

2009-10-09

[ [ "Papadopoulos", "G.", "" ], [ "Spence", "B.", "" ] ]

The phase space of the Wess-Zumino-Witten model on a circle with target space a compact, connected, semisimple Lie group $G$ is defined and the corresponding symplectic form is given. We present a careful derivation of the Poisson brackets of the Wess-Zumino-Witten model. We also study the canonical structure of the supersymmetric and the gauged Wess-Zumino-Witten models.

5.14043

4.139363

5.513666

4.271346

4.399212

4.316073

4.392022

3.993706

4.364693

5.322771

4.232113

4.341782

5.199562

4.44807

4.615083

4.526495

4.672764

4.552234

4.515774

4.872071

4.581092

2101.12188

Gerardo Garc\'ia-Moreno

Carlos Barcel\'o, Ra\'ul Carballo-Rubio, Luis J. Garay and Gerardo Garc\'ia-Moreno

Emergent gauge symmetries: Yang-Mills theory

15 pages, no figures; v2: Added minor changes in text to match published version

Phys. Rev. D 104, 025017 (2021)

10.1103/PhysRevD.104.025017

null

hep-th gr-qc

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

Gauge symmetries remove unphysical states and guarantee that field theories are free from the pathologies associated with these states. In this work we find a set of general conditions that guarantee the removal of unphysical states in field theories describing interacting vector fields. These conditions are obtained through the extension of a mechanism for the emergence of gauge symmetries proposed in a previous article [C. Barcel\'o et al. JHEP 10 (2016) 084] in order to account for non-Abelian gauge symmetries, and are the following: low-energy Lorentz invariance, emergence of massless vector fields describable by an action quadratic in those fields and their derivatives, and self-coupling to a conserved current associated with specific rigid symmetries. Using a bootstrapping procedure, we prove that these conditions are equivalent to the emergence of gauge symmetries and, therefore, guarantee that any theory satisfying them must be equivalent to a Yang-Mills theory at low energies.

[ { "created": "Thu, 28 Jan 2021 18:50:32 GMT", "version": "v1" }, { "created": "Tue, 16 Feb 2021 18:34:34 GMT", "version": "v2" }, { "created": "Wed, 28 Jul 2021 16:08:25 GMT", "version": "v3" } ]

2021-07-29

[ [ "Barceló", "Carlos", "" ], [ "Carballo-Rubio", "Raúl", "" ], [ "Garay", "Luis J.", "" ], [ "García-Moreno", "Gerardo", "" ] ]

Gauge symmetries remove unphysical states and guarantee that field theories are free from the pathologies associated with these states. In this work we find a set of general conditions that guarantee the removal of unphysical states in field theories describing interacting vector fields. These conditions are obtained through the extension of a mechanism for the emergence of gauge symmetries proposed in a previous article [C. Barcel\'o et al. JHEP 10 (2016) 084] in order to account for non-Abelian gauge symmetries, and are the following: low-energy Lorentz invariance, emergence of massless vector fields describable by an action quadratic in those fields and their derivatives, and self-coupling to a conserved current associated with specific rigid symmetries. Using a bootstrapping procedure, we prove that these conditions are equivalent to the emergence of gauge symmetries and, therefore, guarantee that any theory satisfying them must be equivalent to a Yang-Mills theory at low energies.

7.703876

8.18063

7.571135

7.493274

8.479743

7.536787

7.953644

7.464047

7.947712

7.850842

7.493364

7.101893

7.0916

7.137677

7.335537

7.25286

7.292479

7.164999

7.222707

6.993157

7.187346

hep-th/0007121

Mohammad Reza Setare

M.R.Setare and A.H.Rezaeian

Trace anomaly and Casimir effect

6pages, Latex. Journal-ref added

Mod.Phys.Lett. A15 (2000) 2159-2164

10.1142/S0217732300002449

null

hep-th

null

The Casimir energy for scalar field of two parallel conductor in two dimensional domain wall background, with Dirichlet boundary conditions, is calculated by making use of general properties of renormalized stress tensor.We show that vacuum expectation values of stress tensor contain two terms which come from the boundary conditions and the gravitational background. In two dimensions the minimal coupling reduces to the conformal coupling and stress tensor can be obtained by the local and non-local contribution of the anomalous trace. This work shows that there exists a subtle relation between Casimir effect and trace anomaly in curved space time.

[ { "created": "Sun, 16 Jul 2000 06:52:11 GMT", "version": "v1" }, { "created": "Tue, 30 Jan 2001 09:44:21 GMT", "version": "v2" } ]

2009-10-31

[ [ "Setare", "M. R.", "" ], [ "Rezaeian", "A. H.", "" ] ]

The Casimir energy for scalar field of two parallel conductor in two dimensional domain wall background, with Dirichlet boundary conditions, is calculated by making use of general properties of renormalized stress tensor.We show that vacuum expectation values of stress tensor contain two terms which come from the boundary conditions and the gravitational background. In two dimensions the minimal coupling reduces to the conformal coupling and stress tensor can be obtained by the local and non-local contribution of the anomalous trace. This work shows that there exists a subtle relation between Casimir effect and trace anomaly in curved space time.

14.467195

11.269596

13.420865

11.220592

11.617134

11.594452

11.283751

11.388025

11.865944

12.933395

11.644575

12.44522

12.913953

12.535192

12.394956

12.214145

12.180035

12.100792

13.11902

12.665586

12.487773

1102.1854

Alice Garbagnati

Sara Angela Filippini, Alice Garbagnati

A rigid Calabi--Yau 3-fold

24 pages, Version 2: minor changes, references added

null

hep-th math.AG

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

The aim of this paper is to analyze some geometric properties of the rigid Calabi--Yau threefold $\mathcal{Z}$ obtained by a quotient of $E^3$, where $E$ is a specific elliptic curve. We describe the cohomology of $\mathcal{Z}$ and give a simple formula for the trilinear form on $Pic(\mathcal{Z})$. We describe some projective models of $\mathcal{Z}$ and relate these to its generalized mirror. A smoothing of a singular model is a Calabi--Yau threefold with small Hodge numbers which was not known before.

[ { "created": "Wed, 9 Feb 2011 13:03:38 GMT", "version": "v1" }, { "created": "Thu, 24 Feb 2011 10:31:06 GMT", "version": "v2" } ]

2011-02-25

[ [ "Filippini", "Sara Angela", "" ], [ "Garbagnati", "Alice", "" ] ]

The aim of this paper is to analyze some geometric properties of the rigid Calabi--Yau threefold $\mathcal{Z}$ obtained by a quotient of $E^3$, where $E$ is a specific elliptic curve. We describe the cohomology of $\mathcal{Z}$ and give a simple formula for the trilinear form on $Pic(\mathcal{Z})$. We describe some projective models of $\mathcal{Z}$ and relate these to its generalized mirror. A smoothing of a singular model is a Calabi--Yau threefold with small Hodge numbers which was not known before.

6.592757

6.889914

7.275692

6.176387

6.678273

6.480827

6.360809

6.393212

6.535728

7.333827

6.374466

6.310367

6.514297

6.387831

6.503755

6.407394

6.517763

6.438651

6.256485

6.72097

6.417867

0801.2962

Y. Jack Ng

Spacetime foam: from entropy and holography to infinite statistics and nonlocality

28 pages, LaTeX; added references, minor changes; invited review article for the special issue in Entropy (http://www.mdpi.org) on "Quantum spaces: where locality is not necessary, causality might not be, but entropy certainly is," edited by P.A. Zizzi

null

10.3390/e10040441

null

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

null

Due to quantum fluctuations, spacetime is foamy on small scales. The degree of foaminess is found to be consistent with holography, a principle prefigured in the physics of black hole entropy. It has bearing on the ultimate accuracies of clocks and measurements and the physics of quantum computation. Consistent with existing archived data on active galactic nuclei from the Hubble Space Telescope, the application of the holographic spacetime foam model to cosmology requires the existence of dark energy which, we argue, is composed of an enormous number of inert "particles" of extremely long wavelength. We suggest that these "particles" obey infinite statistics in which all representations of the particle permutation group can occur, and that the nonlocality present in systems obeying infinite statistics may be related to the nonlocality present in holographic theories. We also propose to detect spacetime foam by looking for halos in the images of distant quasars, and argue that it does not modify the GZK cutoff in the ultra-high energy cosmic ray spectrum and its contributions to time-of-flight differences of high energy gamma rays from distant GRB are too small to be detectable.

[ { "created": "Fri, 18 Jan 2008 20:16:20 GMT", "version": "v1" }, { "created": "Thu, 28 Feb 2008 19:21:53 GMT", "version": "v2" } ]

2015-05-13

[ [ "Ng", "Y. Jack", "" ] ]

Due to quantum fluctuations, spacetime is foamy on small scales. The degree of foaminess is found to be consistent with holography, a principle prefigured in the physics of black hole entropy. It has bearing on the ultimate accuracies of clocks and measurements and the physics of quantum computation. Consistent with existing archived data on active galactic nuclei from the Hubble Space Telescope, the application of the holographic spacetime foam model to cosmology requires the existence of dark energy which, we argue, is composed of an enormous number of inert "particles" of extremely long wavelength. We suggest that these "particles" obey infinite statistics in which all representations of the particle permutation group can occur, and that the nonlocality present in systems obeying infinite statistics may be related to the nonlocality present in holographic theories. We also propose to detect spacetime foam by looking for halos in the images of distant quasars, and argue that it does not modify the GZK cutoff in the ultra-high energy cosmic ray spectrum and its contributions to time-of-flight differences of high energy gamma rays from distant GRB are too small to be detectable.

10.775687

11.83654

9.803418

9.302711

9.821265

10.865739

11.649957

9.986302

11.20429

11.703528

10.632027

10.556869

10.711384

10.062158

10.130374

10.023835

10.506943

10.308638

10.307789

10.751597

10.306853

2405.06053

Andrew Cox

Andrew A. Cox

Domain walls in super Yang-Mills: worldvolume TQFTs and deconfinement from semiclassics on $\mathbb{R}^3\times\mathbb{S}^1$

57 pages, 8 figures

null

10.1007/JHEP08(2024)058

null

hep-th

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

This work studies domain walls between chirally-separated vacua in supersymmetric Yang-Mills theory (SYM) on $\mathbb{R}^3\times\mathbb{S}^1$ in the semiclassical limit. For all gauge groups we explicitly find the electric fluxes of all BPS domain walls and fully characterize the representation that they form under the global symmetry of SYM. We compute the characters of these representations formed by the semiclassical domain walls. We also compute these characters for the worldvolume TQFTs appearing in the literature for $SU(N)$ and $Sp(N)$ gauge groups. We find complete agreement between the two computations, providing thus a dynamical test of the proposed worldvolume TQFTs. We also propose a new worldvolume TQFT for $E_6$ domain walls, subjecting it to the same tests. Finally, we study deconfinement of quarks on domain walls for all gauge groups. We show that for all gauge groups confining strings (stable in the abelianized regime) can end on domain walls, regardless of whether or not the group has a center.

[ { "created": "Thu, 9 May 2024 18:55:46 GMT", "version": "v1" }, { "created": "Tue, 13 Aug 2024 18:18:47 GMT", "version": "v2" } ]

2024-08-15

[ [ "Cox", "Andrew A.", "" ] ]

This work studies domain walls between chirally-separated vacua in supersymmetric Yang-Mills theory (SYM) on $\mathbb{R}^3\times\mathbb{S}^1$ in the semiclassical limit. For all gauge groups we explicitly find the electric fluxes of all BPS domain walls and fully characterize the representation that they form under the global symmetry of SYM. We compute the characters of these representations formed by the semiclassical domain walls. We also compute these characters for the worldvolume TQFTs appearing in the literature for $SU(N)$ and $Sp(N)$ gauge groups. We find complete agreement between the two computations, providing thus a dynamical test of the proposed worldvolume TQFTs. We also propose a new worldvolume TQFT for $E_6$ domain walls, subjecting it to the same tests. Finally, we study deconfinement of quarks on domain walls for all gauge groups. We show that for all gauge groups confining strings (stable in the abelianized regime) can end on domain walls, regardless of whether or not the group has a center.

8.204419

8.339708

8.97076

8.134877

8.281234

8.259115

8.559725

8.224686

7.774851

9.564165

8.103176

8.037539

8.309196

8.193043

7.973691

7.822782

8.036786

7.94767

7.960846

8.641972

8.119405

1303.1885

William Donnelly

William Donnelly and Aron C. Wall

Unitarity of Maxwell theory on curved spacetimes in the covariant formalism

10 pages

Phys. Rev. D 87, 125033 (2013)

10.1103/PhysRevD.87.125033

null

hep-th gr-qc

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

Quantum field theory in curved spacetime may be defined either through a manifestly unitary canonical approach or via the manifestly covariant path integral formalism. For gauge theories, these two approaches have produced conflicting results, leading to the question of whether the canonical approach is covariant, and whether the path integral approach is unitary. We show the unitarity of the covariant U(1) Maxwell theory, defined via the Wick rotation of a Euclidean path integral. We begin by gauge-fixing the path integral, taking care with zero modes, large gauge transformations, and nontrivial bundles. We find an extra geometric factor in the partition function that has been overlooked in previous work, coming from the zero mode of the gauge symmetry, which affects the entropy and stress-energy tensor. With this extra factor, the covariant calculation agrees with the canonical result for ultrastatic manifolds, and in D = 2. Finally, we argue that if there exists a unitary (but not necessarily covariant) canonical formulation, then the covariant formulation must also be unitary, even if the two approaches disagree.

[ { "created": "Fri, 8 Mar 2013 04:39:11 GMT", "version": "v1" } ]

2013-12-17

[ [ "Donnelly", "William", "" ], [ "Wall", "Aron C.", "" ] ]

Quantum field theory in curved spacetime may be defined either through a manifestly unitary canonical approach or via the manifestly covariant path integral formalism. For gauge theories, these two approaches have produced conflicting results, leading to the question of whether the canonical approach is covariant, and whether the path integral approach is unitary. We show the unitarity of the covariant U(1) Maxwell theory, defined via the Wick rotation of a Euclidean path integral. We begin by gauge-fixing the path integral, taking care with zero modes, large gauge transformations, and nontrivial bundles. We find an extra geometric factor in the partition function that has been overlooked in previous work, coming from the zero mode of the gauge symmetry, which affects the entropy and stress-energy tensor. With this extra factor, the covariant calculation agrees with the canonical result for ultrastatic manifolds, and in D = 2. Finally, we argue that if there exists a unitary (but not necessarily covariant) canonical formulation, then the covariant formulation must also be unitary, even if the two approaches disagree.

7.603092

8.120086

8.243495

7.477978

8.248899

8.060585

8.098414

7.89413

7.654305

8.503424

7.352872

7.889334

7.694822

7.541537

7.651337

7.629498

7.680553

7.609048

7.639445

7.631072

7.488437

hep-th/0212184

Skenderis Kostas

Kostas Skenderis and Marika Taylor

Open strings in the plane wave background II: Superalgebras and Spectra

48 pages

JHEP 0307 (2003) 006

10.1088/1126-6708/2003/07/006

SPIN-2002/32, ITF-2002/52, PUPT-2067

hep-th

null

In hep-th/0211011 we started a systematic investigation of open strings in the plane wave background. In this paper we continue the analysis by discussing the superalgebras of conserved charges, the spectra of open strings, and the spectra of DBI fluctuations around D-brane embeddings. We also derive the gluing conditions for corresponding boundary states and analyze their symmetries. All results are consistent with each other, and confirm the existence of additional supersymmetries as previously discussed. We further show that for every symmetry current one can construct a (countably) infinite number of related currents that contain more worldsheet derivatives, and discuss non-local symmetries.

[ { "created": "Mon, 16 Dec 2002 17:19:51 GMT", "version": "v1" } ]

2009-11-07

[ [ "Skenderis", "Kostas", "" ], [ "Taylor", "Marika", "" ] ]

In hep-th/0211011 we started a systematic investigation of open strings in the plane wave background. In this paper we continue the analysis by discussing the superalgebras of conserved charges, the spectra of open strings, and the spectra of DBI fluctuations around D-brane embeddings. We also derive the gluing conditions for corresponding boundary states and analyze their symmetries. All results are consistent with each other, and confirm the existence of additional supersymmetries as previously discussed. We further show that for every symmetry current one can construct a (countably) infinite number of related currents that contain more worldsheet derivatives, and discuss non-local symmetries.

12.002358

10.869706

13.056895

9.831367

11.959747

10.397799

10.705745

10.418987

10.181983

13.374503

10.582271

9.985613

11.074878

10.06283

10.029105

10.014951

9.766814

9.98088

9.796343

10.626616

10.135275

hep-th/9907174

Paolo Valtancoli

(2+1)-AdS Gravity on Riemann Surfaces

25 pages, no figures, LaTeX file. arXiv admin note: substantial text overlap with arXiv:hep-th/9610092

Int.J.Mod.Phys. A16 (2001) 2817-2839

10.1142/S0217751X01004220

DFF 2/1/99

hep-th

null

We discuss a formalism for solving (2+1) AdS gravity on Riemann surfaces. In the torus case the equations of motion are solved by two functions f and g, solutions of two independent O(2,1) sigma models, which are distinct because their first integrals contain a different time dependent phase factor. We then show that with the gauge choice $k = \sqrt{\Lambda}/ tg (2 \sqrt{\Lambda}t)$ the same couple of first integrals indeed solves exactly the Einstein equations for every Riemann surface. The $X^A=X^A(x^mu)$ polydromic mapping which extends the standard immersion of a constant curvature three-dimensional surface in a flat four-dimensional space to the case of external point sources or topology, is calculable with a simple algebraic formula in terms only of the two sigma model solutions f and g. A trivial time translation of this formalism allows us to introduce a new method which is suitable to study the scattering of black holes in (2+1) AdS gravity.

[ { "created": "Thu, 22 Jul 1999 09:36:53 GMT", "version": "v1" } ]

2020-03-06

[ [ "Valtancoli", "Paolo", "" ] ]

We discuss a formalism for solving (2+1) AdS gravity on Riemann surfaces. In the torus case the equations of motion are solved by two functions f and g, solutions of two independent O(2,1) sigma models, which are distinct because their first integrals contain a different time dependent phase factor. We then show that with the gauge choice $k = \sqrt{\Lambda}/ tg (2 \sqrt{\Lambda}t)$ the same couple of first integrals indeed solves exactly the Einstein equations for every Riemann surface. The $X^A=X^A(x^mu)$ polydromic mapping which extends the standard immersion of a constant curvature three-dimensional surface in a flat four-dimensional space to the case of external point sources or topology, is calculable with a simple algebraic formula in terms only of the two sigma model solutions f and g. A trivial time translation of this formalism allows us to introduce a new method which is suitable to study the scattering of black holes in (2+1) AdS gravity.

16.505911

18.486458

17.267107

17.048569

18.689352

19.749437

19.103991

16.246101

17.118711

18.658987

17.559813

15.596458

15.976394

15.532397

15.953753

16.353453

15.979152

15.711211

15.489135

15.731923

15.557363

hep-th/0108046

Isbelia Martin

I. Martin and A. Restuccia

Symplectic connections, Noncommutative Yang Mills theory and Supermembranes

18 pages

Nucl.Phys. B622 (2002) 240-256

10.1016/S0550-3213(01)00566-1

null

hep-th

null

In built noncommutativity of supermembranes with central charges in eleven dimensions is disclosed. This result is used to construct an action for a noncommutative supermembrane where interesting topological terms appear. In order to do so, we first set up a global formulation for noncommutative Yang Mills theory over general symplectic manifolds. We make the above constructions following a pure geometrical procedure using the concept of connections over Weyl algebra bundles on symplectic manifolds. The relation between noncommutative and ordinary supermembrane actions is discussed.

[ { "created": "Wed, 8 Aug 2001 02:14:01 GMT", "version": "v1" } ]

2009-11-07

[ [ "Martin", "I.", "" ], [ "Restuccia", "A.", "" ] ]

In built noncommutativity of supermembranes with central charges in eleven dimensions is disclosed. This result is used to construct an action for a noncommutative supermembrane where interesting topological terms appear. In order to do so, we first set up a global formulation for noncommutative Yang Mills theory over general symplectic manifolds. We make the above constructions following a pure geometrical procedure using the concept of connections over Weyl algebra bundles on symplectic manifolds. The relation between noncommutative and ordinary supermembrane actions is discussed.

12.016022

10.754426

12.687488

9.848054

10.731182

11.766803

10.131501

10.329226

10.762918

12.325963

11.428211

10.571687

11.571915

10.470962

10.115149

10.976784

10.069052

10.460151

10.577042

11.143952

11.25473

hep-th/9411170

Harald Soleng

Mirjam Cvetic, Harald H. Soleng

Naked singularities in dilatonic domain wall space-times

34 pages, REVTeX, 10 uuencoded compressed ps figures

Phys.Rev.D51:5768-5784,1995

10.1103/PhysRevD.51.5768

UPR-635-T, CERN-TH.7475/94

hep-th gr-qc

null

We investigate gravitational effects of extreme, non-extreme and ultra- extreme domain walls in the presence of a dilaton field. The dilaton is a scalar field without self-interaction that couples to the matter po- tential that is responsible for the formation of the wall. Motivated by superstring and supergravity theories, we consider both an exponential dilaton coupling (parametrized with the coupling constant alpha and the case where the coupling is self-dual, i.e. it has an extremum for a fi- nite value of the dilaton. For an exponential dilaton coupling, extreme walls (which are static planar configurations with surface energy density sigma_ext saturating the corresponding Bogomol'nyi bound) have a naked (planar) singularity outside the wall for alpha>1, while for alpha smaller or equal to 1 the singularity is null. On the other hand, non-extreme walls (bubbles with two insides and sigma_non > sigma_ext and ultra-extreme walls bubbles of false vacuum decay with sigma_ultra < sigma_ext always have naked singularities. There are solutions with self-dual couplings, which reduce to singularity-free vacuum domain wall space--times. However, only non- and ultra-extreme walls of such a type are dynamically stable.

[ { "created": "Wed, 23 Nov 1994 13:10:21 GMT", "version": "v1" } ]

2009-09-17

[ [ "Cvetic", "Mirjam", "" ], [ "Soleng", "Harald H.", "" ] ]

We investigate gravitational effects of extreme, non-extreme and ultra- extreme domain walls in the presence of a dilaton field. The dilaton is a scalar field without self-interaction that couples to the matter po- tential that is responsible for the formation of the wall. Motivated by superstring and supergravity theories, we consider both an exponential dilaton coupling (parametrized with the coupling constant alpha and the case where the coupling is self-dual, i.e. it has an extremum for a fi- nite value of the dilaton. For an exponential dilaton coupling, extreme walls (which are static planar configurations with surface energy density sigma_ext saturating the corresponding Bogomol'nyi bound) have a naked (planar) singularity outside the wall for alpha>1, while for alpha smaller or equal to 1 the singularity is null. On the other hand, non-extreme walls (bubbles with two insides and sigma_non > sigma_ext and ultra-extreme walls bubbles of false vacuum decay with sigma_ultra < sigma_ext always have naked singularities. There are solutions with self-dual couplings, which reduce to singularity-free vacuum domain wall space--times. However, only non- and ultra-extreme walls of such a type are dynamically stable.

10.048361

11.453601

10.540339

9.926216

9.968288

10.816611

10.160926

10.079726

10.659261

11.613457

10.244107

9.761395

9.974522

9.802088

9.927861

9.987622

10.198493

10.118688

9.906837

10.057142

9.759023

2303.08847

Shreya Shukla

Yuri Shirman, Shreya Shukla and Michael Waterbury

Chirality Changing RG Flows: Dynamics and Models

21 pages

null

10.1007/JHEP06(2023)168

UCI-TR-2023-01

hep-th hep-ph

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

Chirality plays an important role in understanding the dynamics of quantum field theories. In this paper, we study the dynamics of models where renormalization group flows change the chiral structure of the theory. We introduce model building tools and construct models with a variety of chirality flows: from the appearance of new massless composite matter, to the development of mass gaps to completely general changes in the chiral matter content. The stability of chirally symmetric vacua is sensitive to the interplay between non-perturbative dynamics and deformations necessary to generate chirality flows. In particular, we show that chirality flows can be easily induced by deformations of s-confining models. On the other hand, in the absence of true s-confinement, the required deformations destabilize chirally symmetric ground states.

[ { "created": "Wed, 15 Mar 2023 18:00:43 GMT", "version": "v1" } ]

2023-07-12

[ [ "Shirman", "Yuri", "" ], [ "Shukla", "Shreya", "" ], [ "Waterbury", "Michael", "" ] ]

Chirality plays an important role in understanding the dynamics of quantum field theories. In this paper, we study the dynamics of models where renormalization group flows change the chiral structure of the theory. We introduce model building tools and construct models with a variety of chirality flows: from the appearance of new massless composite matter, to the development of mass gaps to completely general changes in the chiral matter content. The stability of chirally symmetric vacua is sensitive to the interplay between non-perturbative dynamics and deformations necessary to generate chirality flows. In particular, we show that chirality flows can be easily induced by deformations of s-confining models. On the other hand, in the absence of true s-confinement, the required deformations destabilize chirally symmetric ground states.

8.894161

9.638676

9.29294

8.315081

9.517224

9.039627

8.686258

8.934365

8.833895

9.444007

8.146709

8.826797

8.571403

8.192616

8.186603

8.333518

8.24677

8.308462

8.360287

8.545742

8.091166

0910.4962

John Davey

John Davey, Amihay Hanany, Noppadol Mekareeya, Giuseppe Torri

Brane Tilings, M2-branes and Chern-Simons Theories

16 pages, 17 figures, Contribution at the 49th Cracow School of Theoretical Physics, Zakopane, Poland, May 31 - June 10, 2009

null

Imperial/TP/09/AH/06

hep-th

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

We investigate (2+1)-dimensional quiver Chern-Simons theories that arise from the study of M2-branes probing toric Calabi-Yau 4-folds. These theories can be elegantly described using brane tilings. We present several theories that admit a tiling description and give details of these theories including the toric data of their mesonic moduli space and the structure of both their Master space and baryonic moduli space. Where different toric phases are known, we exhibit the equivalence between the vacua. We identify some of the mesonic moduli spaces as cones over smooth toric Fano 3-folds.

[ { "created": "Mon, 26 Oct 2009 20:16:53 GMT", "version": "v1" } ]

2009-10-28

[ [ "Davey", "John", "" ], [ "Hanany", "Amihay", "" ], [ "Mekareeya", "Noppadol", "" ], [ "Torri", "Giuseppe", "" ] ]

We investigate (2+1)-dimensional quiver Chern-Simons theories that arise from the study of M2-branes probing toric Calabi-Yau 4-folds. These theories can be elegantly described using brane tilings. We present several theories that admit a tiling description and give details of these theories including the toric data of their mesonic moduli space and the structure of both their Master space and baryonic moduli space. Where different toric phases are known, we exhibit the equivalence between the vacua. We identify some of the mesonic moduli spaces as cones over smooth toric Fano 3-folds.

7.623065

6.859542

8.739489

7.09079

7.129536

6.977202

6.574538

7.280394

6.747625

10.597895

6.822699

7.311434

8.353224

7.510083

6.806472

7.149429

7.330431

7.292698

7.031662

8.706775

7.232181

hep-th/9408137

null

K. Behrndt

Quantum Corrections for a Cosmological String Solution

talk presented at PASCOS 94, 11 Pages, 2 figures, Latex, epsf.tex, SLAC--PUB--6640

null

hep-th gr-qc

null

We investigate quantum corrections for a cosmological solution of the string effective action. Starting point is a classical solution containing an antisymmetric tensor field, a dilaton and a modulus field which has singularities in the scalar fields. As a first step we quantize the scalar fields near the singularity with the result that the singularities disappear and that in general non-perturbative quantum corrections form a potential in the scalar fields.

[ { "created": "Thu, 25 Aug 1994 05:20:02 GMT", "version": "v1" } ]

2007-05-23

[ [ "Behrndt", "K.", "" ] ]

We investigate quantum corrections for a cosmological solution of the string effective action. Starting point is a classical solution containing an antisymmetric tensor field, a dilaton and a modulus field which has singularities in the scalar fields. As a first step we quantize the scalar fields near the singularity with the result that the singularities disappear and that in general non-perturbative quantum corrections form a potential in the scalar fields.

9.61729

8.869075

9.097538

8.389739

8.57883

8.343125

8.482994

8.315358

8.217698

9.720916

8.723226

8.896608

9.027172

8.536793

8.739697

8.912453

8.972733

8.556946

8.893654

9.123031

8.689922

hep-th/0209217

Alexander Vilenkin

Gia Dvali and Alexander Vilenkin

Solitonic D-branes and brane annihilation

a typo corrected

Phys.Rev. D67 (2003) 046002

10.1103/PhysRevD.67.046002

null

hep-th gr-qc hep-ph

null

We point out some intriguing analogies between field theoretic solitons (topological defects) and D-branes. Annihilating soliton-antisoliton pairs can produce stable solitons of lower dimensionality. Solitons that localize massless gauge fields in their world volume automatically imply the existence of open flux tubes ending on them and closed flux tubes propagating in the bulk. We discuss some aspects of this localization on explicit examples of unstable wall-anti-wall systems. The annihilation of these walls can be described in terms of tachyon condensation which renders the world-volume gauge field non-dynamical. During this condensation the world volume gauge fields (open string states) are resonantly excited. These can later decay into closed strings, or get squeezed into a network flux tubes similar to a network of cosmic strings formed at a cosmological phase transition. Although, as in the $D$-brane case, perturbatively one can find exact time-dependent solutions, when the energy of the system stays localized in the plane of the original soliton, such solutions are unstable with respect to decay into open and closed string states. Thus, when a pair of such walls annihilates, the energy is carried away (at least) by closed string excitations (``glueballs''), which are the lowest energy excitations about the bulk vacuum. Suggested analogies can be useful for the understanding of the complicated D-brane dynamics and of the production of topological defects and reheating during brane collision in the early universe.

[ { "created": "Wed, 25 Sep 2002 21:27:33 GMT", "version": "v1" }, { "created": "Wed, 2 Oct 2002 23:41:23 GMT", "version": "v2" }, { "created": "Thu, 5 Dec 2002 16:51:14 GMT", "version": "v3" } ]

2009-11-07

[ [ "Dvali", "Gia", "" ], [ "Vilenkin", "Alexander", "" ] ]

We point out some intriguing analogies between field theoretic solitons (topological defects) and D-branes. Annihilating soliton-antisoliton pairs can produce stable solitons of lower dimensionality. Solitons that localize massless gauge fields in their world volume automatically imply the existence of open flux tubes ending on them and closed flux tubes propagating in the bulk. We discuss some aspects of this localization on explicit examples of unstable wall-anti-wall systems. The annihilation of these walls can be described in terms of tachyon condensation which renders the world-volume gauge field non-dynamical. During this condensation the world volume gauge fields (open string states) are resonantly excited. These can later decay into closed strings, or get squeezed into a network flux tubes similar to a network of cosmic strings formed at a cosmological phase transition. Although, as in the $D$-brane case, perturbatively one can find exact time-dependent solutions, when the energy of the system stays localized in the plane of the original soliton, such solutions are unstable with respect to decay into open and closed string states. Thus, when a pair of such walls annihilates, the energy is carried away (at least) by closed string excitations (``glueballs''), which are the lowest energy excitations about the bulk vacuum. Suggested analogies can be useful for the understanding of the complicated D-brane dynamics and of the production of topological defects and reheating during brane collision in the early universe.

11.125192

11.482894

11.776937

11.018647

11.59309

12.153138

11.564636

11.215231

10.821456

12.820084

11.064815

10.463757

10.991339

10.578476

10.863428

10.599759

10.641017

10.612573

10.59244

11.011221

10.447439

hep-th/0403128

Olaf Hohm

Olaf Hohm, Jan Louis

Spontaneous N=2 -> N=1 Supergravity Breaking in Three Dimensions

21 pages

Class.Quant.Grav. 21 (2004) 4607-4624

10.1088/0264-9381/21/19/009

null

hep-th

null

We study models of spontaneous N=2 -> N=1 supergravity breaking in three space-time dimensions and discuss the topological Higgs- and super-Higgs mechanism which generates the masses for the spin-3/2 gravitino multiplet. The resulting N=1 spectrum and its effective action is analysed.

[ { "created": "Thu, 11 Mar 2004 15:41:50 GMT", "version": "v1" }, { "created": "Thu, 1 Apr 2004 08:15:19 GMT", "version": "v2" }, { "created": "Fri, 24 Sep 2004 15:52:58 GMT", "version": "v3" } ]

2009-11-10

[ [ "Hohm", "Olaf", "" ], [ "Louis", "Jan", "" ] ]

We study models of spontaneous N=2 -> N=1 supergravity breaking in three space-time dimensions and discuss the topological Higgs- and super-Higgs mechanism which generates the masses for the spin-3/2 gravitino multiplet. The resulting N=1 spectrum and its effective action is analysed.

11.301156

9.692103

10.581335

8.616783

9.732671

9.019425

8.749822

9.173091

8.947041

10.650279

8.912754

9.881355

10.457262

10.116201

9.285149

9.696058

9.710966

9.962004

9.457805

10.232171

9.932558

hep-th/0303181

Toru Sasaki

Gap Condition and Self-Dualized ${\cal N}=4$ Super Yang-Mills Theory for ADE Gauge Group on K3

17 pages

Mod.Phys.Lett. A19 (2004) 511-532

10.1142/S0217732304013052

EPHOU-02-010

hep-th

null

We try to determine the partition function of ${\cal N}=4$ super Yang-Mills theoy for ADE gauge group on K3 by self-dualizing our previous ADE partition function. The resulting partition function satisfies gap condition.

[ { "created": "Thu, 20 Mar 2003 16:40:37 GMT", "version": "v1" }, { "created": "Mon, 21 Apr 2003 10:59:23 GMT", "version": "v2" } ]

2009-11-10

[ [ "Sasaki", "Toru", "" ] ]

We try to determine the partition function of ${\cal N}=4$ super Yang-Mills theoy for ADE gauge group on K3 by self-dualizing our previous ADE partition function. The resulting partition function satisfies gap condition.

21.526711

16.798115

24.520304

16.885553

15.332832

15.760095

15.014917

15.49186

17.314857

24.451441

16.217281

16.816034

19.745016

17.763

18.54438

18.407276

18.21991

18.543562

18.20607

21.215824

17.981226

2006.02354

Jarah Evslin

Constructing Quantum Soliton States Despite Zero Modes

25 pages, v4 I(x) calculated analytically

null

hep-th

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

In classical Lorentz-invariant field theories, localized soliton solutions necessarily break translation symmetry. In the corresponding quantum field theories, the position is quantized and, if the theory is not compactified, they have continuous spectra. It has long been appreciated that ordinary perturbation theory is not applicable to continuum states. Here we argue that, as the Hamiltonian and momentum operators commute, the soliton ground state can nonetheless be found in perturbation theory if one first imposes that the total momentum vanishes. As an illustration, we find the subleading quantum correction to the ground state of the Sine-Gordon soliton.

[ { "created": "Wed, 3 Jun 2020 16:01:54 GMT", "version": "v1" }, { "created": "Thu, 4 Jun 2020 09:32:04 GMT", "version": "v2" }, { "created": "Fri, 12 Jun 2020 12:43:45 GMT", "version": "v3" }, { "created": "Wed, 18 Nov 2020 18:00:28 GMT", "version": "v4" } ]

2020-11-19

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

In classical Lorentz-invariant field theories, localized soliton solutions necessarily break translation symmetry. In the corresponding quantum field theories, the position is quantized and, if the theory is not compactified, they have continuous spectra. It has long been appreciated that ordinary perturbation theory is not applicable to continuum states. Here we argue that, as the Hamiltonian and momentum operators commute, the soliton ground state can nonetheless be found in perturbation theory if one first imposes that the total momentum vanishes. As an illustration, we find the subleading quantum correction to the ground state of the Sine-Gordon soliton.

11.080996

11.219917

11.454194

10.275287

11.395843

10.641012

10.692078

10.472977

10.02162

11.330774

10.510826

9.829041

10.566777

9.999562

9.851089

9.824897

10.164837

10.229407

9.896461

10.710958

10.267495

hep-th/9912164

Michael Duff

M. J. Duff

TASI Lectures on Branes, Black Holes and Anti-de Sitter Space

Typos corrected; references added. 122 pages, Latex

null

UM-TH-99-07

hep-th

null

In the light of the duality between physics in the bulk of anti-de Sitter space and a conformal field theory on the boundary, we review the M2, D3 and M5 branes and how their near-horizon geometry yields the compactification of D=11 supergravity on S^{7}, Type IIB supergravity on S^{5} and D=11 supergravity on S^{4}, respectively. We discuss the ``Membrane at the End of the Universe'' idea and its relation to the corresponding superconformal singleton theories that live on the boundary of the AdS_{4}, AdS_{5} and AdS_{7} vacua. The massless sectors of these compactifications are described by the maximally supersymmetric D=4, D=5 and D=7 gauged supergravities. We construct the non-linear Kaluza-Klein ans\"atze describing the embeddings of the U(1)^4, U(1)^3 and U(1)^2 truncations of these supergravities, which admit 4-charge AdS_{4}, 3-charge AdS_{5} and 2-charge AdS_{7} black hole solutions. These enable us to embed the black hole solutions back in ten and eleven dimensions and reinterpret them as M2, D3 and M5 branes spinning in the transverse dimensions with the black hole charges given by the angular momenta of the branes. A comprehensive Appendix lists the field equations, symmetries and transformation rules of D=11 supergravity, Type IIB supergravity, and the M2, D3 and M5 branes.

[ { "created": "Fri, 17 Dec 1999 22:08:42 GMT", "version": "v1" }, { "created": "Thu, 20 Jan 2000 21:10:39 GMT", "version": "v2" } ]

2007-05-23

[ [ "Duff", "M. J.", "" ] ]

In the light of the duality between physics in the bulk of anti-de Sitter space and a conformal field theory on the boundary, we review the M2, D3 and M5 branes and how their near-horizon geometry yields the compactification of D=11 supergravity on S^{7}, Type IIB supergravity on S^{5} and D=11 supergravity on S^{4}, respectively. We discuss the ``Membrane at the End of the Universe'' idea and its relation to the corresponding superconformal singleton theories that live on the boundary of the AdS_{4}, AdS_{5} and AdS_{7} vacua. The massless sectors of these compactifications are described by the maximally supersymmetric D=4, D=5 and D=7 gauged supergravities. We construct the non-linear Kaluza-Klein ans\"atze describing the embeddings of the U(1)^4, U(1)^3 and U(1)^2 truncations of these supergravities, which admit 4-charge AdS_{4}, 3-charge AdS_{5} and 2-charge AdS_{7} black hole solutions. These enable us to embed the black hole solutions back in ten and eleven dimensions and reinterpret them as M2, D3 and M5 branes spinning in the transverse dimensions with the black hole charges given by the angular momenta of the branes. A comprehensive Appendix lists the field equations, symmetries and transformation rules of D=11 supergravity, Type IIB supergravity, and the M2, D3 and M5 branes.

4.328104

4.219033

4.959655

4.207075

4.396468

4.24331

4.204173

4.184471

4.275751

4.882933

4.162048

4.157916

4.442911

4.236543

4.192135

4.208281

4.140332

4.087767

4.268158

4.331606

4.191977

2403.11543

Yosuke Imamura

Giant graviton expansions for line operator index

15 pages, v2:reference added and typos corrected

null

TIT/HEP-699

hep-th

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

We discuss giant graviton expansions for the Schur index of ${\cal N}=4$ $U(N)$ SYM with the insertion of Wilson lines of the fundamental and the anti-fundamental representations. We first propose a double-sum giant graviton expansion and numerically confirm that it correctly reproduces the line-operator index. We also find that it reduces to a simple-sum expansion when we treat the index as a Taylor series with respect to a specific fugacity.

[ { "created": "Mon, 18 Mar 2024 07:52:35 GMT", "version": "v1" }, { "created": "Mon, 1 Apr 2024 03:05:11 GMT", "version": "v2" } ]

2024-04-02

[ [ "Imamura", "Yosuke", "" ] ]

We discuss giant graviton expansions for the Schur index of ${\cal N}=4$ $U(N)$ SYM with the insertion of Wilson lines of the fundamental and the anti-fundamental representations. We first propose a double-sum giant graviton expansion and numerically confirm that it correctly reproduces the line-operator index. We also find that it reduces to a simple-sum expansion when we treat the index as a Taylor series with respect to a specific fugacity.

10.288282

7.551208

12.782358

7.756048

8.735381

8.431675

8.66573

7.423112

8.074037

13.548397

8.006378

8.695374

10.808581

9.149592

9.348785

8.744618

8.882044

8.695982

8.949274

11.256797

8.765463

hep-th/0601114

Oliver Rosten

Nick Evans, Tim R. Morris and Oliver J. Rosten

Gauge Invariant Regularization in the AdS/CFT Correspondence and Ghost D-branes

6 pages, 1 figure. v2: refs. added, typos corrected

Phys.Lett.B635:148-150,2006

10.1016/j.physletb.2006.02.055

SHEP-06-04

hep-th hep-ph

null

A field theoretic understanding of how the radial direction in the AdS/CFT Correspondence plays the role of a gauge invariant measure of energy scale has long been missing. In SU(N) Yang-Mills, a realization of a gauge invariant cutoff has been achieved by embedding the theory in spontaneously broken SU(N|N) gauge theory. With the recent discovery of ghost D-branes an AdS/CFT Correspondence version of this scheme is now possible. We show that a very simple construction precisely ties the two pictures together providing a concrete understanding of the radial RG flow on the field theory side.

[ { "created": "Tue, 17 Jan 2006 10:12:01 GMT", "version": "v1" }, { "created": "Wed, 29 Mar 2006 13:00:55 GMT", "version": "v2" } ]

2008-11-26

[ [ "Evans", "Nick", "" ], [ "Morris", "Tim R.", "" ], [ "Rosten", "Oliver J.", "" ] ]

A field theoretic understanding of how the radial direction in the AdS/CFT Correspondence plays the role of a gauge invariant measure of energy scale has long been missing. In SU(N) Yang-Mills, a realization of a gauge invariant cutoff has been achieved by embedding the theory in spontaneously broken SU(N|N) gauge theory. With the recent discovery of ghost D-branes an AdS/CFT Correspondence version of this scheme is now possible. We show that a very simple construction precisely ties the two pictures together providing a concrete understanding of the radial RG flow on the field theory side.

13.38207

11.526583

13.887449

11.39661

11.549088

11.902815

11.841889

11.337357

11.47606

14.146048

11.232784

11.749616

11.901498

11.551274

11.838793

11.92427

11.70721

11.508536

11.336419

12.295933

11.58882

hep-th/0407174

Alejandro Jenkins

Michael L. Graesser, Stephen D.H. Hsu, Alejandro Jenkins, and Mark B. Wise

Anthropic Distribution for Cosmological Constant and Primordial Density Perturbations

12 pages, 2 tables. v3: Replaced to match published version (minor corrections of form)

Phys.Lett. B600 (2004) 15-21

10.1016/j.physletb.2004.08.061

CALT-68-2513, OITS-756

hep-th astro-ph gr-qc

null

The anthropic principle has been proposed as an explanation for the observed value of the cosmological constant. Here we revisit this proposal by allowing for variation between universes in the amplitude of the scale-invariant primordial cosmological density perturbations. We derive a priori probability distributions for this amplitude from toy inflationary models in which the parameter of the inflaton potential is smoothly distributed over possible universes. We find that for such probability distributions, the likelihood that we live in a typical, anthropically-allowed universe is generally quite small.

[ { "created": "Wed, 21 Jul 2004 14:23:14 GMT", "version": "v1" }, { "created": "Fri, 30 Jul 2004 19:52:14 GMT", "version": "v2" }, { "created": "Wed, 29 Sep 2004 19:49:04 GMT", "version": "v3" } ]

2007-05-23

[ [ "Graesser", "Michael L.", "" ], [ "Hsu", "Stephen D. H.", "" ], [ "Jenkins", "Alejandro", "" ], [ "Wise", "Mark B.", "" ] ]

The anthropic principle has been proposed as an explanation for the observed value of the cosmological constant. Here we revisit this proposal by allowing for variation between universes in the amplitude of the scale-invariant primordial cosmological density perturbations. We derive a priori probability distributions for this amplitude from toy inflationary models in which the parameter of the inflaton potential is smoothly distributed over possible universes. We find that for such probability distributions, the likelihood that we live in a typical, anthropically-allowed universe is generally quite small.

8.341186

8.523978

8.99226

8.371233

8.711378

9.020434

9.186519

8.455591

8.614158

9.133211

8.198361

8.43023

8.253622

8.20233

8.115499

8.662516

8.257895

8.128222

8.399318

8.058665

7.988365

1908.01864

Howard Schnitzer

Howard J. Schnitzer

Entanglement distillation of boundary states of large N SU(N)1, Chern-Simons theory and Riemann surfaces

v2. Typo in the title corrected

null

hep-th quant-ph

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

A tree tensor network is proposed for the entanglement distillation of large N SU(N)1 Chern-Simons theory and Riemann surfaces, adopting a proposal of Bao, et al. This is illustrated for the entanglement entropy S(A) of a bipartite many-body system A, where here S(A) = log N.

[ { "created": "Mon, 5 Aug 2019 21:11:39 GMT", "version": "v1" }, { "created": "Wed, 21 Aug 2019 18:53:18 GMT", "version": "v2" } ]

2019-08-23

[ [ "Schnitzer", "Howard J.", "" ] ]

A tree tensor network is proposed for the entanglement distillation of large N SU(N)1 Chern-Simons theory and Riemann surfaces, adopting a proposal of Bao, et al. This is illustrated for the entanglement entropy S(A) of a bipartite many-body system A, where here S(A) = log N.

23.726982

16.904934

23.055101

15.930043

15.162907

17.183758

17.68154

16.617779

18.944164

20.713776

15.056948

15.875143

20.686922

17.421738

16.919333

18.123339

17.277632

18.326967

18.041153

19.66354

18.07317

1003.1205

Zbigniew Haba

Z.Haba

Energy and entropy of relativistic diffusing particles

14 pages,some formulas corrected

Mod.Phys.Lett.A25:2683-2695,2010

10.1142/S0217732310033992

null

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

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

We discuss energy-momentum tensor and the second law of thermodynamics for a system of relativistic diffusing particles. We calculate the energy and entropy flow in this system. We obtain an exact time dependence of energy, entropy and free energy of a beam of photons in a reservoir of a fixed temperature.

[ { "created": "Fri, 5 Mar 2010 08:30:51 GMT", "version": "v1" }, { "created": "Tue, 8 Jun 2010 20:05:19 GMT", "version": "v2" } ]

2014-11-20

[ [ "Haba", "Z.", "" ] ]

We discuss energy-momentum tensor and the second law of thermodynamics for a system of relativistic diffusing particles. We calculate the energy and entropy flow in this system. We obtain an exact time dependence of energy, entropy and free energy of a beam of photons in a reservoir of a fixed temperature.

12.61608

12.67942

11.892354

11.46474

10.712383

11.700504

12.024926

12.250429

10.348259

12.86607

11.253021

11.417155

11.690951

11.209262

11.52278

10.957207

11.462772

11.674556

10.81334

11.814988

11.069087

hep-th/0305142

Eugenio Ramos B. de Mello

J. Spinelly and E. R. Bezerra de Mello

Vacuum Polarization by a Magnetic Flux in a Cosmic String Background

7 pages, no figure. Invited talk at "Renormalization Group and Anomalies in Gravity and Cosmology",Ouro Preto, Brazil, March 17-23, 2003

null

10.1016/S0920-5632(03)02403-4

null

hep-th gr-qc

null

In this paper we analyse the vacuum polarization effects due to a magnetic flux on massless fermionic fields in a cosmic string background. Three distinct configurations of magnetic fields are considered. In all of them the magnetic fluxes are confined in a long cylindrical tube of finite radius.

[ { "created": "Fri, 16 May 2003 13:33:51 GMT", "version": "v1" } ]

2009-11-10

[ [ "Spinelly", "J.", "" ], [ "de Mello", "E. R. Bezerra", "" ] ]

In this paper we analyse the vacuum polarization effects due to a magnetic flux on massless fermionic fields in a cosmic string background. Three distinct configurations of magnetic fields are considered. In all of them the magnetic fluxes are confined in a long cylindrical tube of finite radius.

9.672235

5.359767

8.064312

6.165318

5.217912

5.362798

6.261725

5.463188

6.147435

9.287159

6.287729

6.853108

8.388385

7.542268

7.446883

7.017954

6.917589

7.283537

7.468243

8.08853

7.444433

hep-th/0610155

Richard Szabo

Luca Griguolo, Domenico Seminara, Richard J. Szabo and Alessandro Tanzini

Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory

27 pages

Nucl.Phys.B772:1-24,2007

10.1016/j.nuclphysb.2007.02.030

HWM-06-37, EMPG-06-08, SISSA-61/2006/FM

hep-th

null

We study the relationship between instanton counting in N=4 Yang-Mills theory on a generic four-dimensional toric orbifold and the semi-classical expansion of q-deformed Yang-Mills theory on the blowups of the minimal resolution of the orbifold singularity, with an eye to clarifying the recent proposal of using two-dimensional gauge theories to count microstates of black holes in four dimensions. We describe explicitly the instanton contributions to the counting of D-brane bound states which are captured by the two-dimensional gauge theory. We derive an intimate relationship between the two-dimensional Yang-Mills theory and Chern-Simons theory on generic Lens spaces, and use it to show that the correct instanton counting is only reproduced when the Chern-Simons contributions are treated as non-dynamical boundary conditions in the D4-brane gauge theory. We also use this correspondence to discuss the counting of instantons on higher genus ruled Riemann surfaces.

[ { "created": "Fri, 13 Oct 2006 10:18:06 GMT", "version": "v1" } ]

2008-11-26

[ [ "Griguolo", "Luca", "" ], [ "Seminara", "Domenico", "" ], [ "Szabo", "Richard J.", "" ], [ "Tanzini", "Alessandro", "" ] ]

We study the relationship between instanton counting in N=4 Yang-Mills theory on a generic four-dimensional toric orbifold and the semi-classical expansion of q-deformed Yang-Mills theory on the blowups of the minimal resolution of the orbifold singularity, with an eye to clarifying the recent proposal of using two-dimensional gauge theories to count microstates of black holes in four dimensions. We describe explicitly the instanton contributions to the counting of D-brane bound states which are captured by the two-dimensional gauge theory. We derive an intimate relationship between the two-dimensional Yang-Mills theory and Chern-Simons theory on generic Lens spaces, and use it to show that the correct instanton counting is only reproduced when the Chern-Simons contributions are treated as non-dynamical boundary conditions in the D4-brane gauge theory. We also use this correspondence to discuss the counting of instantons on higher genus ruled Riemann surfaces.

7.140459

7.640374

8.988474

7.442499

7.482823

7.243383

7.53612

7.537885

6.998699

8.626387

7.074527

7.285969

7.884287

7.274046

7.371168

7.513928

7.478561

7.276609

7.013571

7.803989

7.150407

0912.1243

Maxim Zabzine

Jian Qiu and Maxim Zabzine

Odd Chern-Simons Theory, Lie Algebra Cohomology and Characteristic Classes

52 pages

Commun.Math.Phys.300:789-833,2010

10.1007/s00220-010-1102-z

null

hep-th math.QA math.SG

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

We investigate the generic 3D topological field theory within AKSZ-BV framework. We use the Batalin-Vilkovisky (BV) formalism to construct explicitly cocycles of the Lie algebra of formal Hamiltonian vector fields and we argue that the perturbative partition function gives rise to secondary characteristic classes. We investigate a toy model which is an odd analogue of Chern-Simons theory, and we give some explicit computation of two point functions and show that its perturbation theory is identical to the Chern-Simons theory. We give concrete example of the homomorphism taking Lie algebra cocycles to Q-characteristic classes, and we reinterpreted the Rozansky-Witten model in this light.

[ { "created": "Mon, 7 Dec 2009 13:59:03 GMT", "version": "v1" }, { "created": "Tue, 2 Feb 2010 14:45:55 GMT", "version": "v2" } ]

2010-11-09

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

We investigate the generic 3D topological field theory within AKSZ-BV framework. We use the Batalin-Vilkovisky (BV) formalism to construct explicitly cocycles of the Lie algebra of formal Hamiltonian vector fields and we argue that the perturbative partition function gives rise to secondary characteristic classes. We investigate a toy model which is an odd analogue of Chern-Simons theory, and we give some explicit computation of two point functions and show that its perturbation theory is identical to the Chern-Simons theory. We give concrete example of the homomorphism taking Lie algebra cocycles to Q-characteristic classes, and we reinterpreted the Rozansky-Witten model in this light.

9.96371

9.788811

11.610258

9.61281

10.46739

10.959057

10.302661

10.299086

9.612427

11.74542

10.04071

9.67417

10.856458

10.027131

10.013036

9.893163

10.182666

10.013895

9.919876

10.828163

9.942556

hep-th/9610156

D'Hoker Eric

Eric D'Hoker, I. M. Krichever and D. H. Phong

The Renormalization Group Equation in N=2 Supersymmetric Gauge Theories

16 pages, Plain Tex, no macros needed

Nucl.Phys. B494 (1997) 89-104

10.1016/S0550-3213(97)00156-9

null

hep-th

null

We clarify the mass dependence of the effective prepotential in N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number N_f<2N_c of flavors. The resulting differential equation for the prepotential extends the equations obtained previously for SU(2) and for zero masses. It can be viewed as an exact renormalization group equation for the prepotential, with the beta function given by a modular form. We derive an explicit formula for this modular form when N_f=0, and verify the equation to 2-instanton order in the weak-coupling regime for arbitrary N_f and N_c.

[ { "created": "Sun, 20 Oct 1996 23:58:35 GMT", "version": "v1" } ]

2009-10-30

[ [ "D'Hoker", "Eric", "" ], [ "Krichever", "I. M.", "" ], [ "Phong", "D. H.", "" ] ]

We clarify the mass dependence of the effective prepotential in N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number N_f<2N_c of flavors. The resulting differential equation for the prepotential extends the equations obtained previously for SU(2) and for zero masses. It can be viewed as an exact renormalization group equation for the prepotential, with the beta function given by a modular form. We derive an explicit formula for this modular form when N_f=0, and verify the equation to 2-instanton order in the weak-coupling regime for arbitrary N_f and N_c.

7.792525

6.23833

8.618211

6.365809

6.476781

6.367872

6.082751

6.279633

6.665075

8.990245

6.444081

6.437679

7.440934

6.913623

6.903527

6.738924

6.696914

6.792592

6.786749

7.690296

6.729478

hep-th/9610248

Hugo Compean

Hugo Garcia-Compean, Jerzy F. Plebanski, Norma Quiroz-Perez

On the Reduced SU(N) Gauge Theory in the Weyl-Wigner-Moyal Formalism

24 pages, phyzzx file, no figures, version to appear in Int. J. Mod. Phys. A

Int.J.Mod.Phys. A13 (1998) 2089-2102

10.1142/S0217751X98000925

CINVESTAV-FIS 51/96

hep-th

null

Weyl-Wigner-Moyal formalism is used to describe the large-$N$ limit of reduced SU$(N)$ quenching gauge theory. Moyal deformation of Schild-Eguchi action is obtained.

[ { "created": "Thu, 31 Oct 1996 21:43:53 GMT", "version": "v1" }, { "created": "Wed, 13 Nov 1996 01:32:59 GMT", "version": "v2" }, { "created": "Fri, 26 Sep 1997 23:27:20 GMT", "version": "v3" } ]

2009-10-30

[ [ "Garcia-Compean", "Hugo", "" ], [ "Plebanski", "Jerzy F.", "" ], [ "Quiroz-Perez", "Norma", "" ] ]

Weyl-Wigner-Moyal formalism is used to describe the large-$N$ limit of reduced SU$(N)$ quenching gauge theory. Moyal deformation of Schild-Eguchi action is obtained.

17.488966

23.950811

21.469522

13.318061

17.288286

14.792628

16.674999

13.201653

14.197697

22.648424

11.993093

13.475493

16.255791

13.232419

14.256977

13.461804

13.538757

12.805616

12.803791

15.120776

14.648677

2110.14269

Wei-Zhong Zhao

Lu-Yao Wang, Rui Wang, Ke Wu, Wei-Zhong Zhao

W-representations of the fermionic matrix and Aristotelian tensor models

20 pages. Revised version accepted for publication in Nuclear Physics B

Nuclear Physics B 973(2021)115612

10.1016/j.nuclphysb.2021.115612

null

hep-th

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

We show that the fermionic matrix model can be realized by $W$-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra. The remarkable feature is that the character expansion of the partition function can be easily derived from such Virasoro constraints. It is a $\tau$-function of the KP hierarchy. We construct the fermionic Aristotelian tensor model and give its $W$-representation. Moreover, we analyze the fermionic red tensor model and present the $W$-representation and character expansion of the partition function.

[ { "created": "Wed, 27 Oct 2021 08:44:46 GMT", "version": "v1" }, { "created": "Thu, 18 Nov 2021 04:09:19 GMT", "version": "v2" } ]

2021-12-08

[ [ "Wang", "Lu-Yao", "" ], [ "Wang", "Rui", "" ], [ "Wu", "Ke", "" ], [ "Zhao", "Wei-Zhong", "" ] ]

We show that the fermionic matrix model can be realized by $W$-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra. The remarkable feature is that the character expansion of the partition function can be easily derived from such Virasoro constraints. It is a $\tau$-function of the KP hierarchy. We construct the fermionic Aristotelian tensor model and give its $W$-representation. Moreover, we analyze the fermionic red tensor model and present the $W$-representation and character expansion of the partition function.

11.808084

10.103276

12.312581

10.131782

9.745132

9.60653

9.281183

9.422421

10.059773

13.975087

9.578968

10.779737

11.907129

11.313083

11.15529

10.894691

10.76741

11.121367

11.122556

11.618931

10.843863

1005.2194

Dimitrios Tsimpis

Magdalena Larfors, Dieter Lust and Dimitrios Tsimpis

Flux compactification on smooth, compact three-dimensional toric varieties

27 pages, 10 figures; v2: references, minor typos & improvements

JHEP 1007:073,2010

10.1007/JHEP07(2010)073

null

hep-th math.AG math.DG

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

Three-dimensional smooth, compact toric varieties (SCTV), when viewed as real six-dimensional manifolds, can admit G-structures rendering them suitable for internal manifolds in supersymmetric flux compactifications. We develop techniques which allow us to systematically construct G-structures on SCTV and read off their torsion classes. We illustrate our methods with explicit examples, one of which consists of an infinite class of toric CP^1 bundles. We give a self-contained review of the relevant concepts from toric geometry, in particular the subject of the classification of SCTV in dimensions less or equal to 3. Our results open up the possibility for a systematic construction and study of supersymmetric flux vacua based on SCTV.

[ { "created": "Wed, 12 May 2010 20:00:35 GMT", "version": "v1" }, { "created": "Fri, 11 Jun 2010 11:27:37 GMT", "version": "v2" } ]

2015-03-17

[ [ "Larfors", "Magdalena", "" ], [ "Lust", "Dieter", "" ], [ "Tsimpis", "Dimitrios", "" ] ]

Three-dimensional smooth, compact toric varieties (SCTV), when viewed as real six-dimensional manifolds, can admit G-structures rendering them suitable for internal manifolds in supersymmetric flux compactifications. We develop techniques which allow us to systematically construct G-structures on SCTV and read off their torsion classes. We illustrate our methods with explicit examples, one of which consists of an infinite class of toric CP^1 bundles. We give a self-contained review of the relevant concepts from toric geometry, in particular the subject of the classification of SCTV in dimensions less or equal to 3. Our results open up the possibility for a systematic construction and study of supersymmetric flux vacua based on SCTV.

9.885177

7.573065

10.757929

8.197923

9.247344

8.664891

8.34401

8.326408

8.056978

11.450356

8.169955

8.778755

9.482064

9.008257

8.598228

8.66906

8.789363

8.776633

8.609529

10.193859

8.704983

0805.1840

Nikolaos Tetradis

Effective Field Theory with a Variable Ultraviolet Cutoff

minor corrections, additional references

J.Math.Phys.50:013522,2009

10.1063/1.3054272

null

hep-th

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

The properties of strongly gravitating systems suggest that field theory overcounts the states of a system. Reducing the number of degrees of freedom, without abandoning the notion of effective field theory, may be achieved through a connection between the ultraviolet and infrared cutoffs. We provide an implementation of this idea within the Wilsonian approach to the renormalization group. We derive an exact flow equation that describes the evolution of the effective action. We discuss the implications for the existence of infrared fixed points and the running of couplings. We also give an alternative derivation in the context of the perturbative renormalization group.

[ { "created": "Tue, 13 May 2008 12:49:36 GMT", "version": "v1" }, { "created": "Sat, 27 Dec 2008 17:23:33 GMT", "version": "v2" } ]

2009-02-10

[ [ "Tetradis", "Nikolaos", "" ] ]

The properties of strongly gravitating systems suggest that field theory overcounts the states of a system. Reducing the number of degrees of freedom, without abandoning the notion of effective field theory, may be achieved through a connection between the ultraviolet and infrared cutoffs. We provide an implementation of this idea within the Wilsonian approach to the renormalization group. We derive an exact flow equation that describes the evolution of the effective action. We discuss the implications for the existence of infrared fixed points and the running of couplings. We also give an alternative derivation in the context of the perturbative renormalization group.

7.818219

7.698213

7.572945

7.383063

7.212169

7.506937

7.406814

7.455005

7.058176

8.692295

7.211333

7.666961

7.492128

7.507046

7.606774

7.473618

7.402092

7.410209

7.187887

7.582821

7.317746

0805.3351

Diana Vaman

Diana Vaman and York-Peng Yao

Analytic Scattering Amplitudes for QCD

10 pages, 2 figures

Mod.Phys.Lett.A23:847-856,2008

10.1142/S0217732308026959

null

hep-th

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

By analytically continuing QCD scattering amplitudes through specific complexified momenta, one can study and learn about the nature and the consequences of factorization and unitarity. In some cases, when coupled with the largest time equation and gauge invariance requirement, this approach leads to recursion relations, which greatly simplify the construction of multi-gluon scattering amplitudes. The setting for this discussion is in the space-cone gauge.

[ { "created": "Wed, 21 May 2008 20:26:40 GMT", "version": "v1" } ]

2008-11-26

[ [ "Vaman", "Diana", "" ], [ "Yao", "York-Peng", "" ] ]

By analytically continuing QCD scattering amplitudes through specific complexified momenta, one can study and learn about the nature and the consequences of factorization and unitarity. In some cases, when coupled with the largest time equation and gauge invariance requirement, this approach leads to recursion relations, which greatly simplify the construction of multi-gluon scattering amplitudes. The setting for this discussion is in the space-cone gauge.

14.865322

11.714056

14.316545

11.677586

11.106048

13.339576

13.655165

11.650157

12.86437

15.661518

13.305959

11.727005

14.449541

13.045454

12.610782

12.598758

12.703955

13.234653

13.265545

13.992973

12.210063

hep-th/9205052

null

Ramzi R. Khuri

Scattering of String Monopoles

9 pages

Phys.Lett. B294 (1992) 331-336

10.1016/0370-2693(92)91529-I

null

hep-th

null

In the low-velocity limit, multi-soliton solutions trace out geodesics in the static solution manifold with distance defined by a metric on moduli space. For the recently constructed multimonopole solutions of heterotic string theory, we obtain a flat metric to leading order in the impact parameter. This result agrees with the trivial scattering predicted by a test monopole calculation.

[ { "created": "Thu, 14 May 1992 18:22:07 GMT", "version": "v1" }, { "created": "Fri, 15 May 1992 19:15:28 GMT", "version": "v2" } ]

2009-10-22

[ [ "Khuri", "Ramzi R.", "" ] ]

In the low-velocity limit, multi-soliton solutions trace out geodesics in the static solution manifold with distance defined by a metric on moduli space. For the recently constructed multimonopole solutions of heterotic string theory, we obtain a flat metric to leading order in the impact parameter. This result agrees with the trivial scattering predicted by a test monopole calculation.

14.984573

11.699408

15.922954

13.176095

12.408877

11.609066

12.983728

13.151628

12.879067

15.670561

13.011339

12.20371

14.113585

13.011886

12.980113

12.061566

13.034669

11.945471

13.285739

13.750011

12.678157

hep-th/0107262

Sergio Zerbini

Some Issues related to Conformal Anomaly Induced Effective Action

14 pages, latex, submitted to special issue of G@C, devoted to Quantum Gravity, Unified Models and Strings to mark 100th anniversary of Tomsk State Pedagogical University, Editor-Prof.S.D. Odintsov Reference corrected

Grav.Cosmol. 8 (2002) 123-128

null

hep-th

null

Some issues related to quantum anomaly induced effects due to matter are considered. Explicit examples corresponding to quantum creation of d4 dilatonic AdS Universe and of d2 dilatonic AdS Black Hole (BH) are discussed. Motivated by holographic RG, in a similar approach, it is shown that, starting from a 5 dimensional AdS Universe, 4-dimensional de Sitter or AdS world is generated on the boundary of such Universe as a result of quantum effects. A 5-dimensional brane-world cosmological scenario is also considered, where the brane tension is not longer a free parameter, but its role is taken by quantum effects induced by the 4-dimensional conformal anomaly associated with conformal coupled matter. As a result, consistent quantum creations of De Sitter or AdS curved branes are possible.

[ { "created": "Tue, 31 Jul 2001 10:10:38 GMT", "version": "v1" }, { "created": "Mon, 13 Aug 2001 07:28:50 GMT", "version": "v2" } ]

2007-05-23

[ [ "Zerbini", "Sergio", "" ] ]

Some issues related to quantum anomaly induced effects due to matter are considered. Explicit examples corresponding to quantum creation of d4 dilatonic AdS Universe and of d2 dilatonic AdS Black Hole (BH) are discussed. Motivated by holographic RG, in a similar approach, it is shown that, starting from a 5 dimensional AdS Universe, 4-dimensional de Sitter or AdS world is generated on the boundary of such Universe as a result of quantum effects. A 5-dimensional brane-world cosmological scenario is also considered, where the brane tension is not longer a free parameter, but its role is taken by quantum effects induced by the 4-dimensional conformal anomaly associated with conformal coupled matter. As a result, consistent quantum creations of De Sitter or AdS curved branes are possible.

14.623667

13.288219

14.649697

13.537131

13.175627

12.789778

13.015937

12.689131

13.532722

15.692305

13.361848

13.286917

14.30389

13.341509

13.734466

13.221457

13.19496

13.397284

13.739918

14.042068

13.335588

hep-th/0105167

Israel Quiroz

Israel Quiros (Universidad Central de Las Villas. Santa Clara. Cuba)

Five-dimensional scenario with a fluctuating three-brane: an stochastic approach to gravity

2 2 pages, Revtex, no figures. Some equations in section V have been corrected and, in correspondence, the discussion of the cosmological constant problem has been reconsidered. The results are unchanged

null

hep-th gr-qc hep-ph

null

A five-dimensional scenario with a non compact extra dimension of infinite extent is studied, in which a single three-brane is affected by small Gaussian fluctuations in the extra dimension. The average magnitude of the fluctuations is of order of the electro-weak length scale ($\sigma\sim m_{EW}^{-1}$). The model provides an stochastic approach to gravity that accounts for an alternative resolution of the mass hierarchy problem. The cosmological constant problem can be suitably treated as well. Surprisingly the Mach's principle finds a place in the model. It is argued that the Mach's principle, the mass hierarchy and the cosmological constant problem, are different aspects of a same property of gravity in this model: its stochastic character. Thin-brane scenarios are recovered in the "no-fluctuations" limit ($\sigma\to 0$).

[ { "created": "Thu, 17 May 2001 12:46:03 GMT", "version": "v1" }, { "created": "Fri, 18 May 2001 15:23:07 GMT", "version": "v2" }, { "created": "Tue, 29 May 2001 13:56:28 GMT", "version": "v3" } ]

2007-05-23

[ [ "Quiros", "Israel", "", "Universidad Central de Las Villas. Santa Clara. Cuba" ] ]

A five-dimensional scenario with a non compact extra dimension of infinite extent is studied, in which a single three-brane is affected by small Gaussian fluctuations in the extra dimension. The average magnitude of the fluctuations is of order of the electro-weak length scale ($\sigma\sim m_{EW}^{-1}$). The model provides an stochastic approach to gravity that accounts for an alternative resolution of the mass hierarchy problem. The cosmological constant problem can be suitably treated as well. Surprisingly the Mach's principle finds a place in the model. It is argued that the Mach's principle, the mass hierarchy and the cosmological constant problem, are different aspects of a same property of gravity in this model: its stochastic character. Thin-brane scenarios are recovered in the "no-fluctuations" limit ($\sigma\to 0$).

10.723138

9.331562

10.252068

9.277026

9.543935

9.85025

9.224076

8.830025

9.522931

10.634309

9.605362

9.982135

10.059094

9.904236

9.728762

9.892085

9.935663

9.641339

9.692295

9.709791

9.600764

2304.02030

Raj Patil

Manoj K. Mandal, Pierpaolo Mastrolia, Hector O. Silva, Raj Patil, Jan Steinhoff

Gravitoelectric dynamical tides at second post-Newtonian order

20 pages, 2 figures, 1 table; matches the published version

JHEP 11 (2023), 067

10.1007/JHEP11(2023)067

HU-EP-23/09-RTG

hep-th astro-ph.HE gr-qc

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

We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory approach, and involves Feynman integrals up to two loops, evaluated with the dimensional regularization scheme. We also derive the effective Hamiltonian for adiabatic tides, obtained by taking the appropriate limit of the dynamical effective Hamiltonian, and we check its validity by verifying the complete Poincar\'e algebra. In the adiabatic limit, we also calculate two gauge-invariant observables, namely, the binding energy for a circular orbit and the scattering angle in a hyperbolic scattering. Our results are important for developing accurate gravitational waveform models for neutron-star binaries for present and future gravitational-wave observatories.

[ { "created": "Tue, 4 Apr 2023 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 27 Feb 2024 08:27:50 GMT", "version": "v2" } ]

2024-02-28

[ [ "Mandal", "Manoj K.", "" ], [ "Mastrolia", "Pierpaolo", "" ], [ "Silva", "Hector O.", "" ], [ "Patil", "Raj", "" ], [ "Steinhoff", "Jan", "" ] ]

We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory approach, and involves Feynman integrals up to two loops, evaluated with the dimensional regularization scheme. We also derive the effective Hamiltonian for adiabatic tides, obtained by taking the appropriate limit of the dynamical effective Hamiltonian, and we check its validity by verifying the complete Poincar\'e algebra. In the adiabatic limit, we also calculate two gauge-invariant observables, namely, the binding energy for a circular orbit and the scattering angle in a hyperbolic scattering. Our results are important for developing accurate gravitational waveform models for neutron-star binaries for present and future gravitational-wave observatories.

8.136164

6.692965

7.188703

6.941927

6.783641

6.691282

6.698642

6.526965

7.870532

7.494581

7.130228

7.49916

7.168504

7.281626

7.386169

7.724023

7.555737

7.369155

7.721742

7.445735

7.473538

hep-th/9706214

Jim Wheeler

James T. Wheeler

New Conformal Gauging and the Electromagnetic Theory of Weyl

39 pages, plain TeX, no figures

J.Math.Phys. 39 (1998) 299-328

10.1063/1.532315

USU-FTG-194

hep-th gr-qc

null

A new 8-dim conformal gauging solves the auxiliary field problem and eliminates unphysical size change from Weyl's electromagnetic theory. We derive the Maurer-Cartan structure equations and find the zero curvature solutions for the conformal connection. By showing that every one-particle Hamiltonian generates the structure equations we establish a correspondence between phase space and the 8-dim base space, and between the action and the integral of the Weyl vector. Applying the correspondence to generic flat solutions yields the Lorentz force law, the form and gauge dependence of the electromagnetic vector potential and minimal coupling. The dynamics found for these flat solutions applies locally in generic spaces. We then provide necessary and sufficient curvature constraints for general curved 8-dimensional geometries to be in 1-1 correspondence with 4-dimensional Einstein-Maxwell spacetimes, based on a vector space isomorphism between the extra four dimensions and the Riemannian tangent space. Despite part of the Weyl vector serving as the electromagnetic vector potential, the entire class of geometries has vanishing dilation, thereby providing a consistent unified geometric theory of gravitation and electromagnetism. In concluding, we discuss the observability of the extra dimensions.

[ { "created": "Sun, 29 Jun 1997 23:28:08 GMT", "version": "v1" } ]

2009-10-30

[ [ "Wheeler", "James T.", "" ] ]

A new 8-dim conformal gauging solves the auxiliary field problem and eliminates unphysical size change from Weyl's electromagnetic theory. We derive the Maurer-Cartan structure equations and find the zero curvature solutions for the conformal connection. By showing that every one-particle Hamiltonian generates the structure equations we establish a correspondence between phase space and the 8-dim base space, and between the action and the integral of the Weyl vector. Applying the correspondence to generic flat solutions yields the Lorentz force law, the form and gauge dependence of the electromagnetic vector potential and minimal coupling. The dynamics found for these flat solutions applies locally in generic spaces. We then provide necessary and sufficient curvature constraints for general curved 8-dimensional geometries to be in 1-1 correspondence with 4-dimensional Einstein-Maxwell spacetimes, based on a vector space isomorphism between the extra four dimensions and the Riemannian tangent space. Despite part of the Weyl vector serving as the electromagnetic vector potential, the entire class of geometries has vanishing dilation, thereby providing a consistent unified geometric theory of gravitation and electromagnetism. In concluding, we discuss the observability of the extra dimensions.

15.464043

17.447039

16.226095

16.060543

16.68771

16.766438

16.563068

15.666646

16.189425

17.265295

15.836924

15.53686

15.243468

15.24034

15.153148

15.411491

15.606081

15.510668

15.429061

14.866233

15.204555

2203.00092

Christian Saemann

Dominik Rist and Christian Saemann and Martin Wolf

Explicit Non-Abelian Gerbes with Connections

v3: 77 pages, presentation substantially changed, many results added

null

EMPG-22-02, DMUS-MP-22/01

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

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

We define the notion of adjustment for strict Lie 2-groups and provide the complete cocycle description for non-Abelian gerbes with connections whose structure 2-group is an adjusted 2-group. Most importantly, we depart from the common fake-flat connections and employ adjusted connections. This is an important generalisation that is needed for physical applications especially in the context of supergravity. We give a number of explicit examples; in particular, we lift the spin structure on $S^4$, corresponding to an instanton-anti-instanton pair, to a string structure, a 2-group bundle with connection. We also outline how categorified forms of Bogomolny monopoles known as self-dual strings can be obtained via a Penrose-Ward transform of string bundles over twistor space.

[ { "created": "Mon, 28 Feb 2022 20:54:31 GMT", "version": "v1" }, { "created": "Thu, 2 Jun 2022 10:27:16 GMT", "version": "v2" }, { "created": "Mon, 5 Feb 2024 15:55:49 GMT", "version": "v3" } ]

2024-02-06

[ [ "Rist", "Dominik", "" ], [ "Saemann", "Christian", "" ], [ "Wolf", "Martin", "" ] ]

We define the notion of adjustment for strict Lie 2-groups and provide the complete cocycle description for non-Abelian gerbes with connections whose structure 2-group is an adjusted 2-group. Most importantly, we depart from the common fake-flat connections and employ adjusted connections. This is an important generalisation that is needed for physical applications especially in the context of supergravity. We give a number of explicit examples; in particular, we lift the spin structure on $S^4$, corresponding to an instanton-anti-instanton pair, to a string structure, a 2-group bundle with connection. We also outline how categorified forms of Bogomolny monopoles known as self-dual strings can be obtained via a Penrose-Ward transform of string bundles over twistor space.

12.528925

13.570415

14.206068

12.006535

13.460553

13.452579

13.528754

12.46445

12.408199

16.056267

12.497178

12.736499

13.164085

11.905233

11.753667

11.905667

12.106699

11.777293

11.953037

12.846025

12.617904

1304.5187

Stefan Vandoren

Kiril Hristov, Chiara Toldo and Stefan Vandoren

Phase transitions of magnetic AdS4 black holes with scalar hair

5 pages, v2: misprints corrected and references added, published version

null

10.1103/PhysRevD.88.026019

null

hep-th

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

We determine the thermodynamic properties of a class of spherically symmetric and static black holes in AdS4 with magnetic charges and scalar hair. These black holes are solutions in 4d N=2 gauged supergravity that can arise from eleven-dimensional supergravity compactified on S^7. At zero temperature, they preserve supersymmetry and hence are stable. At non-zero temperatures, we explore in detail the canonical ensemble and stability of solutions and find a first order phase transition between small and large hairy black holes. The transition emerges as a liquid-gas phase transition in the dual three-dimensional field theory on R x S^2 with magnetic flux through S^2.

[ { "created": "Thu, 18 Apr 2013 16:54:42 GMT", "version": "v1" }, { "created": "Wed, 14 Aug 2013 10:20:34 GMT", "version": "v2" } ]

2013-08-15

[ [ "Hristov", "Kiril", "" ], [ "Toldo", "Chiara", "" ], [ "Vandoren", "Stefan", "" ] ]

We determine the thermodynamic properties of a class of spherically symmetric and static black holes in AdS4 with magnetic charges and scalar hair. These black holes are solutions in 4d N=2 gauged supergravity that can arise from eleven-dimensional supergravity compactified on S^7. At zero temperature, they preserve supersymmetry and hence are stable. At non-zero temperatures, we explore in detail the canonical ensemble and stability of solutions and find a first order phase transition between small and large hairy black holes. The transition emerges as a liquid-gas phase transition in the dual three-dimensional field theory on R x S^2 with magnetic flux through S^2.

7.674826

6.330602

7.823112

6.526812

7.142054

7.071143

6.720751

6.772983

6.705079

7.378603

6.835855

6.661928

7.481539

6.898059

7.015831

7.090457

7.063672

6.914055

6.968015

7.333573

7.149714

hep-th/9302084

Serguei Piunikhine

Sergey Piunikhin (Harvard University)

Combinatorial expression for universal Vassiliev link invariant

20 pages

Commun.Math.Phys. 168 (1995) 1-22

10.1007/BF02099581

null

hep-th math.QA

null

The most general R-matrix type state sum model for link invariants is constructed. It contains in itself all R-matrix invariants and is a generating function for "universal" Vassiliev link invariants. This expression is more simple than Kontsevich's expression for the same quantity, because it is defined combinatorially and does not contain any integrals, except for an expression for "the universal Drinfeld's associator".

[ { "created": "Thu, 18 Feb 1993 23:39:27 GMT", "version": "v1" } ]

2009-10-22

[ [ "Piunikhin", "Sergey", "", "Harvard University" ] ]

The most general R-matrix type state sum model for link invariants is constructed. It contains in itself all R-matrix invariants and is a generating function for "universal" Vassiliev link invariants. This expression is more simple than Kontsevich's expression for the same quantity, because it is defined combinatorially and does not contain any integrals, except for an expression for "the universal Drinfeld's associator".

11.965374

12.67421

13.42019

11.636749

10.803408

14.221015

12.454047

11.80897

12.171082

13.59549

10.997211

10.387888

12.265924

10.717242

10.792562

11.058005

11.058

10.547687

10.890759

11.843717

10.833864

1406.2997

Vit Jakubsky

Francisco Correa, Vit Jakubsky

Twisted kinks, Dirac transparent systems and Darboux transformations

11 pages, 2 figures, published version

Phys. Rev. D 90, 125003 (2014)

10.1103/PhysRevD.90.125003

null

hep-th math-ph math.MP

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

Darboux transformations are employed in construction and analysis of Dirac Hamiltonians with pseudoscalar potentials. By this method, we build a four parameter class of reflectionless systems. Their potentials correspond to composition of complex kinks, also known as twisted kinks, that play an important role in the $1+1$ Gross-Neveu and Nambu-Jona-Lasinio field theories. The twisted kinks turn out to be multi-solitonic solutions of the integrable AKNS hierarchy. Consequently, all the spectral properties of the Dirac reflectionless systems are reflected in a non-trivial conserved quantity, which can be expressed in a simple way in terms of Darboux transformations. We show that the four parameter pseudoscalar systems reduce to well-known models for specific choices of the parameters. An associated class of transparent non-relativistic models described by matrix Schr\"odinger Hamiltonian is studied and the rich algebraic structure of their integrals of motion is discussed.

[ { "created": "Wed, 11 Jun 2014 19:13:40 GMT", "version": "v1" }, { "created": "Fri, 30 Jan 2015 14:56:41 GMT", "version": "v2" } ]

2015-06-19

[ [ "Correa", "Francisco", "" ], [ "Jakubsky", "Vit", "" ] ]

Darboux transformations are employed in construction and analysis of Dirac Hamiltonians with pseudoscalar potentials. By this method, we build a four parameter class of reflectionless systems. Their potentials correspond to composition of complex kinks, also known as twisted kinks, that play an important role in the $1+1$ Gross-Neveu and Nambu-Jona-Lasinio field theories. The twisted kinks turn out to be multi-solitonic solutions of the integrable AKNS hierarchy. Consequently, all the spectral properties of the Dirac reflectionless systems are reflected in a non-trivial conserved quantity, which can be expressed in a simple way in terms of Darboux transformations. We show that the four parameter pseudoscalar systems reduce to well-known models for specific choices of the parameters. An associated class of transparent non-relativistic models described by matrix Schr\"odinger Hamiltonian is studied and the rich algebraic structure of their integrals of motion is discussed.

9.811595

9.70245

10.277637

9.421453

10.075154

9.402955

10.293925

9.505079

9.068778

11.236078

9.065305

9.117141

9.482731

9.109749

8.960146

8.940217

8.924634

9.261408

9.050757

9.755769

9.246178

hep-th/0204092

J. Fernando Barbero G.

J. Fernando Barbero, Eduardo J. S. Villase\~nor

Diff-invariant Kinetic Terms in Arbitrary Dimensions

8 pages, REVTEX. To appear in Phys. Rev. D

Phys.Rev. D65 (2002) 125020

10.1103/PhysRevD.65.125020

null

hep-th

null

We study the physical content of quadratic diff-invariant Lagrangians in arbitrary dimensions by using covariant symplectic techniques. This paper extends previous results in dimension four. We discuss the difference between the even and odd dimensional cases.

[ { "created": "Thu, 11 Apr 2002 07:21:50 GMT", "version": "v1" } ]

2017-03-24

[ [ "Barbero", "J. Fernando", "" ], [ "Villaseñor", "Eduardo J. S.", "" ] ]

We study the physical content of quadratic diff-invariant Lagrangians in arbitrary dimensions by using covariant symplectic techniques. This paper extends previous results in dimension four. We discuss the difference between the even and odd dimensional cases.

14.285227

13.512763

12.68851

11.479206

11.62977

9.995926

11.319328

11.8454

11.737947

12.187413

11.557984

11.92017

12.605638

12.564432

11.672725

11.702976

12.02726

11.634927

13.526652

13.5767

11.716398

1111.5907

Rudra Prakash Malik

R. Kumar, S. Krishna, A. Shukla, R. P. Malik

Dual-BRST symmetry: 6D Abelian 3-form gauge theory

LaTeX file, 12 pages, version to appear in EPJC

Eur. Phys. J. C72:1980, 2012

10.1140/epjc/s10052-012-1980-7

null

hep-th

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

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we demonstrate the existence of the novel off-shell nilpotent (anti-)dual-BRST symmetries in the context of a six (5 + 1)-dimensional (6D) free Abelian 3-form gauge theory. Under these local and continuous symmetry transformations, the total gauge-fixing term of the Lagrangian density remains invariant. This observation should be contrasted with the off-shell nilpotent (anti-)BRST symmetry transformations, under which, the total kinetic term of the theory remains invariant. The anticommutator of the above nilpotent (anti-)BRST and (anti-)dual-BRST transformations leads to the derivation of a bosonic symmetry in the theory. There exists a discrete symmetry transformation in the theory which provides a thread of connection between the nilpotent (anti-)BRST and (anti-)dual-BRST transformations. This theory is endowed with a ghost-scale symmetry, too. We discuss the algebra of these symmetry transformations and show that the structure of the algebra is reminiscent of the algebra of de Rham cohomological operators of differential geometry.

[ { "created": "Fri, 25 Nov 2011 07:36:28 GMT", "version": "v1" }, { "created": "Sat, 7 Apr 2012 07:45:41 GMT", "version": "v2" } ]

2012-07-11

[ [ "Kumar", "R.", "" ], [ "Krishna", "S.", "" ], [ "Shukla", "A.", "" ], [ "Malik", "R. P.", "" ] ]

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we demonstrate the existence of the novel off-shell nilpotent (anti-)dual-BRST symmetries in the context of a six (5 + 1)-dimensional (6D) free Abelian 3-form gauge theory. Under these local and continuous symmetry transformations, the total gauge-fixing term of the Lagrangian density remains invariant. This observation should be contrasted with the off-shell nilpotent (anti-)BRST symmetry transformations, under which, the total kinetic term of the theory remains invariant. The anticommutator of the above nilpotent (anti-)BRST and (anti-)dual-BRST transformations leads to the derivation of a bosonic symmetry in the theory. There exists a discrete symmetry transformation in the theory which provides a thread of connection between the nilpotent (anti-)BRST and (anti-)dual-BRST transformations. This theory is endowed with a ghost-scale symmetry, too. We discuss the algebra of these symmetry transformations and show that the structure of the algebra is reminiscent of the algebra of de Rham cohomological operators of differential geometry.

4.729649

3.101345

5.71377

3.629851

3.768352

3.592579

3.421001

3.347553

3.488743

6.032597

3.676532

3.977015

4.772168

4.268841

4.14923

4.003899

3.867782

4.15946

4.163271

5.006163

4.139512

1310.0837

Michael Gutperle

Michael Gutperle, Eliot Hijano and Joshua Samani

Lifshitz black holes in higher spin gravity

34 pages, LaTeX, 10 figures, v2: minor edits, 2 new references

null

10.1007/JHEP04(2014)020

null

hep-th

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

We study asymptotically Lifshitz solutions to three dimensional higher spin gravity in the SL(3,R)xSL(3,R) Chern-Simons formulation. We begin by specifying the most general connections satisfying Lifshitz boundary conditions, and we verify that their algebra of symmetries contains a Lifshitz sub-algebra. We then exhibit connections that can be viewed as higher spin Lifshitz black holes. We show that when suitable holonomy conditions are imposed, these black holes obey sensible thermodynamics and possess a gauge in which the corresponding metric exhibits a regular horizon.

[ { "created": "Wed, 2 Oct 2013 20:21:23 GMT", "version": "v1" }, { "created": "Thu, 31 Oct 2013 03:54:56 GMT", "version": "v2" } ]

2015-06-17

[ [ "Gutperle", "Michael", "" ], [ "Hijano", "Eliot", "" ], [ "Samani", "Joshua", "" ] ]

We study asymptotically Lifshitz solutions to three dimensional higher spin gravity in the SL(3,R)xSL(3,R) Chern-Simons formulation. We begin by specifying the most general connections satisfying Lifshitz boundary conditions, and we verify that their algebra of symmetries contains a Lifshitz sub-algebra. We then exhibit connections that can be viewed as higher spin Lifshitz black holes. We show that when suitable holonomy conditions are imposed, these black holes obey sensible thermodynamics and possess a gauge in which the corresponding metric exhibits a regular horizon.

8.990301

8.320276

10.002956

8.048824

8.144984

7.984197

7.918281

7.936994

7.874849

10.073027

8.065769

8.050329

8.357018

7.771941

8.037077

8.312118

7.713265

7.984716

7.95897

8.137721

8.004218

0810.0691

Stefan Zieme

Anatoly V. Kotikov, Adam Rej and Stefan Zieme

Analytic three-loop Solutions for N=4 SYM Twist Operators

23 pages; v2: references added, appendix A improved

Nucl.Phys.B813:460-483,2009

10.1016/j.nuclphysb.2008.12.022

AEI-2008-082

hep-th

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

We introduce a method to obtain the analytic solution of the higher-order Baxter equation for twist-two and twist-three operators of planar N=4 SYM. Our result proofs the conjectured formula for the three-loop anomalous dimension of twist-two operators. As such we derive the maximally transcendental part of the corresponding three-loop QCD result from the maximal supersymmetric gauge theory in four dimension purely by methods of integrability.

[ { "created": "Fri, 3 Oct 2008 18:27:58 GMT", "version": "v1" }, { "created": "Mon, 15 Dec 2008 19:58:48 GMT", "version": "v2" } ]

2009-03-12

[ [ "Kotikov", "Anatoly V.", "" ], [ "Rej", "Adam", "" ], [ "Zieme", "Stefan", "" ] ]

We introduce a method to obtain the analytic solution of the higher-order Baxter equation for twist-two and twist-three operators of planar N=4 SYM. Our result proofs the conjectured formula for the three-loop anomalous dimension of twist-two operators. As such we derive the maximally transcendental part of the corresponding three-loop QCD result from the maximal supersymmetric gauge theory in four dimension purely by methods of integrability.

13.801923

13.620108

15.086596

12.643838

13.91976

13.476352

12.803705

12.426128

12.072007

15.57456

12.122038

12.96609

12.795383

12.15519

12.905083

12.478633

13.359295

12.788012

12.434572

11.833457

12.742807

1912.04169

Junho Hong

Arash Arabi Ardehali, Junho Hong, and James T. Liu

Asymptotic growth of the 4d $\mathcal N=4$ index and partially deconfined phases

54 pages, 8 figures; v2: minor revisions, references added; v3: minor revisions, footnote 2 and references added; v4: minor corrections in Appendix C

JHEP07(2020)073

10.1007/JHEP07(2020)073

LCTP 19-32

hep-th

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

We study the Cardy-like asymptotics of the 4d $\mathcal N=4$ index and demonstrate the existence of partially deconfined phases where the asymptotic growth of the index is not as rapid as in the fully deconfined case. We then take the large-$N$ limit after the Cardy-like limit and make a conjecture for the leading asymptotics of the index. While the Cardy-like behavior is derived using the integral representation of the index, we demonstrate how the same results can be obtained using the Bethe ansatz type approach as well. In doing so, we discover new non-standard solutions to the elliptic Bethe ansatz equations including continuous families of solutions for $SU(N)$ theory with $N\ge3$. We argue that the existence of both standard and continuous non-standard solutions has a natural interpretation in terms of vacua of $\mathcal N=1^*$ theory on $\mathbb R^3\times S^1$.

[ { "created": "Mon, 9 Dec 2019 16:45:28 GMT", "version": "v1" }, { "created": "Thu, 23 Jan 2020 15:28:39 GMT", "version": "v2" }, { "created": "Fri, 7 Aug 2020 16:40:06 GMT", "version": "v3" }, { "created": "Sat, 2 Jan 2021 00:17:52 GMT", "version": "v4" } ]

2021-01-05

[ [ "Ardehali", "Arash Arabi", "" ], [ "Hong", "Junho", "" ], [ "Liu", "James T.", "" ] ]

We study the Cardy-like asymptotics of the 4d $\mathcal N=4$ index and demonstrate the existence of partially deconfined phases where the asymptotic growth of the index is not as rapid as in the fully deconfined case. We then take the large-$N$ limit after the Cardy-like limit and make a conjecture for the leading asymptotics of the index. While the Cardy-like behavior is derived using the integral representation of the index, we demonstrate how the same results can be obtained using the Bethe ansatz type approach as well. In doing so, we discover new non-standard solutions to the elliptic Bethe ansatz equations including continuous families of solutions for $SU(N)$ theory with $N\ge3$. We argue that the existence of both standard and continuous non-standard solutions has a natural interpretation in terms of vacua of $\mathcal N=1^*$ theory on $\mathbb R^3\times S^1$.

6.242467

6.329166

6.716492

6.122368

5.871013

6.606383

6.332244

6.063007

6.009653

7.742902

6.046226

5.953424

6.772918

6.021508

6.223847

6.211522

6.145535

5.891921

6.080818

6.642456

6.069067