LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2306.04800

Nomaan X

Quantum Field Theory On Causal Sets

Invited chapter for the Causal Sets section of the Handbook of Quantum Gravity (Eds. C. Bambi, L. Modesto and I. L. Shapiro, Springer, expected in 2023). arXiv admin note: text overlap with arXiv:1812.10228

null

hep-th gr-qc

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

We give a broad overview of a construction of a theory for matter on fixed causal set backgrounds. We introduce the Sorkin-Johnston formalism for a free (real) scalar field theory that is applicable to regions of continuum spacetimes as well as to causal sets. We show examples in the causal set, starting from the construction of Green functions to obtaining unique two-point functions using this formalism. We also mention other approaches that have been explored in constructing dynamics for matter on causal sets, including ideas for interacting theories and fermions.

[ { "created": "Wed, 7 Jun 2023 21:47:59 GMT", "version": "v1" } ]

2023-06-09

[ [ "X", "Nomaan", "" ] ]

We give a broad overview of a construction of a theory for matter on fixed causal set backgrounds. We introduce the Sorkin-Johnston formalism for a free (real) scalar field theory that is applicable to regions of continuum spacetimes as well as to causal sets. We show examples in the causal set, starting from the construction of Green functions to obtaining unique two-point functions using this formalism. We also mention other approaches that have been explored in constructing dynamics for matter on causal sets, including ideas for interacting theories and fermions.

16.397011

14.569698

13.88355

14.025887

16.349276

15.582

17.516678

14.148706

15.661955

15.668776

16.989037

15.733383

15.506789

15.181567

15.899862

15.619348

16.526196

15.730412

15.925088

16.0739

16.018457

0909.4272

Simone Giombi

Simone Giombi, Vasily Pestun

The 1/2 BPS 't Hooft loops in N=4 SYM as instantons in 2d Yang-Mills

30 pages, no figures

null

hep-th

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

We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4d N=4 SYM on S^2 and 2d Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S^2. We show that localization predicts that these 't Hooft operators and their correlation functions with Wilson operators on S^2 are captured by instanton contributions to the partition function of the 2d Yang-Mills theory. Based on this prediction, we compute explicitly correlation functions involving the 't Hooft operator, and observe precise agreement with S-duality predictions.

[ { "created": "Wed, 23 Sep 2009 19:51:28 GMT", "version": "v1" } ]

2009-09-24

[ [ "Giombi", "Simone", "" ], [ "Pestun", "Vasily", "" ] ]

We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4d N=4 SYM on S^2 and 2d Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S^2. We show that localization predicts that these 't Hooft operators and their correlation functions with Wilson operators on S^2 are captured by instanton contributions to the partition function of the 2d Yang-Mills theory. Based on this prediction, we compute explicitly correlation functions involving the 't Hooft operator, and observe precise agreement with S-duality predictions.

7.048184

6.133662

7.537996

6.166349

6.391609

5.983373

6.473118

6.029631

6.274414

7.724154

5.870926

6.324481

6.966058

6.407325

6.559456

6.473875

6.201316

6.323283

6.147562

6.856588

6.29214

hep-th/9805185

Arnd Zapletal

H. Babujian, A. Fring, M. Karowski and A. Zapletal

Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model

55 pages, 7 figures, LaTeX

Nucl.Phys. B538 (1999) 535-586

10.1016/S0550-3213(98)00737-8

null

hep-th cond-mat nlin.SI solv-int

null

We provide detailed arguments on how to derive properties of generalized form factors, originally proposed by one of the authors (M.K.) and Weisz twenty years ago, solely based on the assumption of "minimal analyticity" and the validity of the LSZ reduction formalism. These properties constitute consistency equations which allow the explicit evaluation of the n-particle form factors once the scattering matrix is known. The equations give rise to a matrix Riemann-Hilbert problem. Exploiting the "off-shell" Bethe ansatz we propose a general formula for form factors for an odd number of particles. For the Sine-Gordon model alias the massive Thirring model we exemplify the general solution for several operators. We carry out a consistency check for the solution of the three particle form factor against the Thirring model perturbation theory and thus confirm the general formalism.

[ { "created": "Wed, 27 May 1998 13:24:21 GMT", "version": "v1" }, { "created": "Tue, 10 Nov 1998 17:17:04 GMT", "version": "v2" }, { "created": "Thu, 7 Jan 1999 11:23:41 GMT", "version": "v3" } ]

2009-10-31

[ [ "Babujian", "H.", "" ], [ "Fring", "A.", "" ], [ "Karowski", "M.", "" ], [ "Zapletal", "A.", "" ] ]

We provide detailed arguments on how to derive properties of generalized form factors, originally proposed by one of the authors (M.K.) and Weisz twenty years ago, solely based on the assumption of "minimal analyticity" and the validity of the LSZ reduction formalism. These properties constitute consistency equations which allow the explicit evaluation of the n-particle form factors once the scattering matrix is known. The equations give rise to a matrix Riemann-Hilbert problem. Exploiting the "off-shell" Bethe ansatz we propose a general formula for form factors for an odd number of particles. For the Sine-Gordon model alias the massive Thirring model we exemplify the general solution for several operators. We carry out a consistency check for the solution of the three particle form factor against the Thirring model perturbation theory and thus confirm the general formalism.

13.786067

12.583433

15.075672

12.050248

13.705101

11.611142

12.01615

11.544394

11.376437

14.647466

11.708948

12.436212

13.687819

12.025594

12.117039

12.257849

12.211023

12.193446

12.708715

13.798575

11.771845

2303.04819

Ivonne Zavala

Michele Cicoli, Joseph P. Conlon, Anshuman Maharana, Susha Parameswaran, Fernando Quevedo, Ivonne Zavala

String Cosmology: from the Early Universe to Today

Invited Review for Physics Reports, 190 pages. V2: References added, typos corrected, minor additions

null

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

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

We review applications of string theory to cosmology, from primordial times to the present-day accelerated expansion. Starting with a brief overview of cosmology and string compactifications, we discuss in detail moduli stabilisation, inflation in string theory, the impact of string theory on post-inflationary dynamics (reheating, moduli domination, kination), dark energy (the cosmological constant from a string landscape and models of quintessence) and various alternative scenarios (string/brane gases, the pre big-bang scenario, rolling tachyons, ekpyrotic/cyclic cosmologies, bubbles of nothing, S-brane and holographic cosmologies). The state of the art in string constructions is described in each topic and, where relevant, connections to swampland conjectures are made. The possibilities for novel particles and excitations (axions, moduli, cosmic strings, branes, solitons, oscillons and boson stars) are emphasised. Implications for the physics of the CMB, gravitational waves, dark matter and dark radiation are discussed along with potential observational signatures.

[ { "created": "Wed, 8 Mar 2023 19:00:01 GMT", "version": "v1" }, { "created": "Fri, 5 May 2023 10:33:53 GMT", "version": "v2" } ]

2023-05-08

[ [ "Cicoli", "Michele", "" ], [ "Conlon", "Joseph P.", "" ], [ "Maharana", "Anshuman", "" ], [ "Parameswaran", "Susha", "" ], [ "Quevedo", "Fernando", "" ], [ "Zavala", "Ivonne", "" ] ]

We review applications of string theory to cosmology, from primordial times to the present-day accelerated expansion. Starting with a brief overview of cosmology and string compactifications, we discuss in detail moduli stabilisation, inflation in string theory, the impact of string theory on post-inflationary dynamics (reheating, moduli domination, kination), dark energy (the cosmological constant from a string landscape and models of quintessence) and various alternative scenarios (string/brane gases, the pre big-bang scenario, rolling tachyons, ekpyrotic/cyclic cosmologies, bubbles of nothing, S-brane and holographic cosmologies). The state of the art in string constructions is described in each topic and, where relevant, connections to swampland conjectures are made. The possibilities for novel particles and excitations (axions, moduli, cosmic strings, branes, solitons, oscillons and boson stars) are emphasised. Implications for the physics of the CMB, gravitational waves, dark matter and dark radiation are discussed along with potential observational signatures.

7.66179

9.237336

7.626988

7.350449

7.869858

7.930285

9.184184

8.03102

7.882502

8.67857

7.962203

7.834761

7.67402

7.488806

7.522119

7.842981

7.453956

7.660619

7.410826

7.709098

7.380301

0805.2898

Pei-Ming Ho

Pei-Ming Ho, Yosuke Imamura, Yutaka Matsuo, Shotaro Shiba

M5-brane in three-form flux and multiple M2-branes

33 pages

JHEP 0808:014,2008

10.1088/1126-6708/2008/08/014

UT-08-16

hep-th

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

We investigate the Bagger-Lambert-Gustavsson model associated with the Nambu-Poisson algebra as a theory describing a single M5-brane. We argue that the model is a gauge theory associated with the volume-preserving diffeomorphism in the three-dimenisonal internal space. We derive gauge transformations, actions, supersymmetry transformations, and equations of motions in terms of six-dimensional fields. The equations of motions are written in gauge-covariant form, and the equations for tensor fields have manifest self-dual structure. We demonstrate that the double dimensional reduction of the model reproduces the non-commutative U(1) gauge theory on a D4-brane with a small non-commutativity parameter. We establish relations between parameters in the BLG model and those in M-theory. This shows that the model describes an M5-brane in a large C-field background.

[ { "created": "Mon, 19 May 2008 16:46:11 GMT", "version": "v1" } ]

2009-12-10

[ [ "Ho", "Pei-Ming", "" ], [ "Imamura", "Yosuke", "" ], [ "Matsuo", "Yutaka", "" ], [ "Shiba", "Shotaro", "" ] ]

We investigate the Bagger-Lambert-Gustavsson model associated with the Nambu-Poisson algebra as a theory describing a single M5-brane. We argue that the model is a gauge theory associated with the volume-preserving diffeomorphism in the three-dimenisonal internal space. We derive gauge transformations, actions, supersymmetry transformations, and equations of motions in terms of six-dimensional fields. The equations of motions are written in gauge-covariant form, and the equations for tensor fields have manifest self-dual structure. We demonstrate that the double dimensional reduction of the model reproduces the non-commutative U(1) gauge theory on a D4-brane with a small non-commutativity parameter. We establish relations between parameters in the BLG model and those in M-theory. This shows that the model describes an M5-brane in a large C-field background.

6.991153

5.847395

8.292743

6.077329

6.482587

5.988938

6.294263

6.166711

6.133199

8.232323

6.083824

6.559988

6.754187

6.416079

6.310529

6.447265

6.429936

6.694028

6.255654

7.085684

6.498687

1507.00590

Joseph Ben Geloun

A power counting theorem for a $p^{2a}\phi^4$ tensorial group field theory

15 pages, 7 figures

null

ICMPA/2015/04

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

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

We introduce a tensorial group field theory endowed with weighted interaction terms of the form $p^{2a} \phi^4$. The model can be seen as a field theory over $d=3,4$ copies of $U(1)$ where formal powers of Laplacian operators, namely $\Delta^{a}$, $a>0$, act on tensorial $\phi^4$-interactions producing, after Fourier transform, $p^{2a}\phi^4$ interactions. Using multi-scale analysis, we provide a power counting theorem for this type of models. A new quantity depending on the incidence matrix between vertices and faces of Feynman graphs is invoked in the degree of divergence of amplitudes. As a result, generally, the divergence degree is enhanced compared to the divergence degree of models without weighted vertices. The subleading terms in the partition function of the $\phi^4$ tensorial models become, in some cases, the dominant ones in the $p^{2a}\phi^4$ models. Finally, we explore sufficient conditions on the parameter $a$ yielding a list of potentially super-renormalizable $p^{2a}\phi^4$ models.

[ { "created": "Thu, 2 Jul 2015 14:00:34 GMT", "version": "v1" } ]

2015-07-03

[ [ "Geloun", "Joseph Ben", "" ] ]

We introduce a tensorial group field theory endowed with weighted interaction terms of the form $p^{2a} \phi^4$. The model can be seen as a field theory over $d=3,4$ copies of $U(1)$ where formal powers of Laplacian operators, namely $\Delta^{a}$, $a>0$, act on tensorial $\phi^4$-interactions producing, after Fourier transform, $p^{2a}\phi^4$ interactions. Using multi-scale analysis, we provide a power counting theorem for this type of models. A new quantity depending on the incidence matrix between vertices and faces of Feynman graphs is invoked in the degree of divergence of amplitudes. As a result, generally, the divergence degree is enhanced compared to the divergence degree of models without weighted vertices. The subleading terms in the partition function of the $\phi^4$ tensorial models become, in some cases, the dominant ones in the $p^{2a}\phi^4$ models. Finally, we explore sufficient conditions on the parameter $a$ yielding a list of potentially super-renormalizable $p^{2a}\phi^4$ models.

9.63161

9.714285

10.801291

9.090523

9.872515

10.05056

9.296844

9.473211

9.280808

10.770517

8.881015

8.985059

9.690905

9.250977

9.090031

8.973736

9.198768

9.289197

9.079553

9.609261

9.369366

2003.08396

Domenico Orlando

Domenico Orlando and Susanne Reffert and Francesco Sannino

Charging the Conformal Window

15 pages

Phys. Rev. D 103, 105026 (2021)

10.1103/PhysRevD.103.105026

null

hep-th hep-lat hep-ph

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

We investigate the properties of near-conformal dynamics in a sector of large charge when approaching the lower boundary of the conformal window from the chirally broken phase. To elucidate our approach we use the time-honored example of the phenomenologically relevant SU(2) color theory featuring $N_f$ Dirac fermions transforming in the fundamental representation of the gauge group. In the chirally broken phase we employ the effective pion Lagrangian featuring also a pseudo-dilaton to capture a possible smooth conformal-to-non-conformal phase transition. We charge the baryon symmetry of the Lagrangian and study its impact on the ground state and spectrum of the theory as well as the would-be conformal dimensions of the lowest large-charge operator. We moreover study the effects of and dependence on the fermion mass term.

[ { "created": "Wed, 18 Mar 2020 18:00:02 GMT", "version": "v1" } ]

2021-06-14

[ [ "Orlando", "Domenico", "" ], [ "Reffert", "Susanne", "" ], [ "Sannino", "Francesco", "" ] ]

We investigate the properties of near-conformal dynamics in a sector of large charge when approaching the lower boundary of the conformal window from the chirally broken phase. To elucidate our approach we use the time-honored example of the phenomenologically relevant SU(2) color theory featuring $N_f$ Dirac fermions transforming in the fundamental representation of the gauge group. In the chirally broken phase we employ the effective pion Lagrangian featuring also a pseudo-dilaton to capture a possible smooth conformal-to-non-conformal phase transition. We charge the baryon symmetry of the Lagrangian and study its impact on the ground state and spectrum of the theory as well as the would-be conformal dimensions of the lowest large-charge operator. We moreover study the effects of and dependence on the fermion mass term.

11.240858

10.657612

11.716732

10.957421

12.576719

11.377495

10.989046

10.912095

10.304996

12.39994

11.20348

11.395772

11.333447

10.939502

11.686851

11.176086

11.129182

11.462229

10.860869

11.579788

10.906415

1302.7032

Monica Guica

Mirjam Cveti\v{c}, Monica Guica and Zain H. Saleem

General black holes, untwisted

34 pages

null

10.1007/JHEP09(2013)017

null

hep-th

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

We use solution-generating techniques to construct interpolating geometries between general asymptotically flat, charged, rotating, non-extremal black holes in four and five dimensions and their subtracted geometries. In the four-dimensional case, this is achieved by the use of Harrison transformations, whereas in the five-dimensional case we use STU transformations. We also give the interpretation of these solution-generating transformations in terms of string (pseudo)-dualities, showing that they correspond to combinations of T-dualities and Melvin twists. Upon uplift to one dimension higher, these dualities allow us to "untwist" general black holes to AdS_3 times a sphere.

[ { "created": "Wed, 27 Feb 2013 23:42:21 GMT", "version": "v1" } ]

2015-06-15

[ [ "Cvetič", "Mirjam", "" ], [ "Guica", "Monica", "" ], [ "Saleem", "Zain H.", "" ] ]

We use solution-generating techniques to construct interpolating geometries between general asymptotically flat, charged, rotating, non-extremal black holes in four and five dimensions and their subtracted geometries. In the four-dimensional case, this is achieved by the use of Harrison transformations, whereas in the five-dimensional case we use STU transformations. We also give the interpretation of these solution-generating transformations in terms of string (pseudo)-dualities, showing that they correspond to combinations of T-dualities and Melvin twists. Upon uplift to one dimension higher, these dualities allow us to "untwist" general black holes to AdS_3 times a sphere.

10.151945

7.890205

9.204506

7.954597

8.17658

8.216191

8.466218

7.94222

8.058736

9.878992

7.913024

8.426486

8.6407

8.096143

8.498543

8.112758

8.585094

8.16593

8.31337

8.869233

8.47974

hep-th/0401125

Peter Kaste

Matthias R. Gaberdiel and Peter Kaste

Generalised discrete torsion and mirror symmetry for G_2 manifolds

LaTeX, 25 pages, 1 figure; v2: one reference added and comment about higher loop modular invariance corrected, version to be published

JHEP 0408:001,2004

10.1088/1126-6708/2004/08/001

null

hep-th

null

A generalisation of discrete torsion is introduced in which different discrete torsion phases are considered for the different fixed points or twist fields of a twisted sector. The constraints that arise from modular invariance are analysed carefully. As an application we show how all the different resolutions of the T^7/Z_2^3 orbifold of Joyce have an interpretation in terms of such generalised discrete torsion orbifolds. Furthermore, we show that these manifolds are pairwise identified under G_2 mirror symmetry. From a conformal field theory point of view, this mirror symmetry arises from an automorphism of the extended chiral algebra of the G_2 compactification.

[ { "created": "Mon, 19 Jan 2004 17:54:23 GMT", "version": "v1" }, { "created": "Mon, 9 Aug 2004 13:30:41 GMT", "version": "v2" } ]

2010-02-03

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Kaste", "Peter", "" ] ]

A generalisation of discrete torsion is introduced in which different discrete torsion phases are considered for the different fixed points or twist fields of a twisted sector. The constraints that arise from modular invariance are analysed carefully. As an application we show how all the different resolutions of the T^7/Z_2^3 orbifold of Joyce have an interpretation in terms of such generalised discrete torsion orbifolds. Furthermore, we show that these manifolds are pairwise identified under G_2 mirror symmetry. From a conformal field theory point of view, this mirror symmetry arises from an automorphism of the extended chiral algebra of the G_2 compactification.

7.485477

7.434373

9.854931

7.35642

8.700974

7.629107

7.708843

7.746416

7.438199

9.972648

7.447433

6.932361

7.823286

7.150635

7.451444

7.219908

7.384918

7.28129

7.148621

7.263205

7.104712

hep-th/0702176

Saul Ramos-Sanchez

Felix Ploger, Saul Ramos-Sanchez, Michael Ratz and Patrick K.S. Vaudrevange

Mirage Torsion

26 pages, 3 figures, v2: matches version published in JHEP

JHEP 0704:063,2007

10.1088/1126-6708/2007/04/063

TUM-HEP-659/07

hep-th

null

Z_NxZ_M orbifold models admit the introduction of a discrete torsion phase. We find that models with discrete torsion have an alternative description in terms of torsionless models. More specifically, discrete torsion can be 'gauged away' by changing the shifts by lattice vectors. Similarly, a large class of the so-called generalized discrete torsion phases can be traded for changing the background fields (Wilson lines) by lattice vectors. We further observe that certain models with generalized discrete torsion are equivalent to torsionless models with the same gauge embedding but based on different compactification lattices. We also present a method of classifying heterotic Z_NxZ_M orbifolds.

[ { "created": "Wed, 21 Feb 2007 19:09:19 GMT", "version": "v1" }, { "created": "Wed, 18 Apr 2007 14:24:41 GMT", "version": "v2" } ]

2010-10-27

[ [ "Ploger", "Felix", "" ], [ "Ramos-Sanchez", "Saul", "" ], [ "Ratz", "Michael", "" ], [ "Vaudrevange", "Patrick K. S.", "" ] ]

Z_NxZ_M orbifold models admit the introduction of a discrete torsion phase. We find that models with discrete torsion have an alternative description in terms of torsionless models. More specifically, discrete torsion can be 'gauged away' by changing the shifts by lattice vectors. Similarly, a large class of the so-called generalized discrete torsion phases can be traded for changing the background fields (Wilson lines) by lattice vectors. We further observe that certain models with generalized discrete torsion are equivalent to torsionless models with the same gauge embedding but based on different compactification lattices. We also present a method of classifying heterotic Z_NxZ_M orbifolds.

10.722824

8.837799

8.72668

8.110785

8.52834

8.725051

9.441981

8.347943

8.076792

9.348941

8.457515

8.213881

8.415957

7.981486

8.052112

8.376681

8.455825

8.690262

8.329149

8.643983

8.657119

hep-th/0401157

Pierre Martinetti

F. Girelli, T. Krajewski, P. Martinetti

An algebraic Birkhoff decomposition for the continuous renormalization group

null

J.Math.Phys. 45 (2004) 4679-4697

10.1063/1.1794366

null

hep-th math-ph math.MP

null

This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer. It mostly deals with some algebraic preliminaries allowing to formulate perturbative renormalization within the theory of differential equations. The relation between renormalization, formulated as a change of boundary condition for a differential equation, and an algebraic Birkhoff decomposition for rooted trees is explicited.

[ { "created": "Thu, 22 Jan 2004 15:16:18 GMT", "version": "v1" } ]

2015-06-26

[ [ "Girelli", "F.", "" ], [ "Krajewski", "T.", "" ], [ "Martinetti", "P.", "" ] ]

This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer. It mostly deals with some algebraic preliminaries allowing to formulate perturbative renormalization within the theory of differential equations. The relation between renormalization, formulated as a change of boundary condition for a differential equation, and an algebraic Birkhoff decomposition for rooted trees is explicited.

9.910123

9.72474

10.104652

8.655454

9.922511

8.633096

8.618467

9.670444

8.262089

11.163719

8.985263

8.615365

8.64179

8.721987

8.886287

8.691772

8.474958

9.083023

8.603958

8.859835

8.99328

2207.03385

Stuart Dowker

J.S.Dowker

Remarks on the Aharonov-Bohm Green function

7 pages

null

hep-th

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

Some elementary algebraic points regarding the Green function for a localised flux tube are developed. A calculation of the effective action density is included.

[ { "created": "Thu, 7 Jul 2022 15:51:59 GMT", "version": "v1" } ]

2022-07-08

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

Some elementary algebraic points regarding the Green function for a localised flux tube are developed. A calculation of the effective action density is included.

80.286354

45.044167

46.885792

36.407314

29.918324

39.567623

43.959633

36.932793

37.690788

42.433155

39.702625

38.320068

39.334293

38.110245

37.508999

39.158409

37.184795

38.008888

38.46003

41.64769

36.676044

1712.04861

Eric Perlmutter

David Meltzer, Eric Perlmutter

Beyond $a=c$: Gravitational Couplings to Matter and the Stress Tensor OPE

42+25 pages. v2: added refs, minor changes

null

10.1007/JHEP07(2018)157

null

hep-th

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

We derive constraints on the operator product expansion of two stress tensors in conformal field theories (CFTs), both generic and holographic. We point out that in large $N$ CFTs with a large gap to single-trace higher spin operators, the stress tensor sector is not only universal, but isolated: that is, $\langle TT{\cal O}\rangle=0$, where ${\cal O}\neq T$ is a single-trace primary. We show that this follows from a suppression of $\langle TT{\cal O}\rangle$ by powers of the higher spin gap, $\Delta_{\rm gap}$, dual to the bulk mass scale of higher spin particles, and explain why $\langle TT{\cal O}\rangle$ is a more sensitive probe of $\Delta_{\rm gap}$ than $a-c$ in 4d CFTs. This result implies that, on the level of cubic couplings, the existence of a consistent truncation to Einstein gravity is a direct consequence of the absence of higher spins. By proving similar behavior for other couplings $\langle T{\cal O}_1{\cal O}_2\rangle$ where ${\cal O}_i$ have spin $s_i\leq 2$, we are led to propose that $1/\Delta_{\rm gap}$ is the CFT "dual" of an AdS derivative in a classical action. These results are derived by imposing unitarity on mixed systems of spinning four-point functions in the Regge limit. Using the same method, but without imposing a large gap, we derive new inequalities on these three-point couplings that are valid in any CFT. These are generalizations of the Hofman-Maldacena conformal collider bounds. By combining the collider bound on $TT$ couplings to spin-2 operators with analyticity properties of CFT data, we argue that all three tensor structures of $\langle TTT\rangle$ in the free-field basis are nonzero in interacting CFTs.

[ { "created": "Wed, 13 Dec 2017 16:53:51 GMT", "version": "v1" }, { "created": "Thu, 28 Dec 2017 15:44:06 GMT", "version": "v2" } ]

2018-08-15

[ [ "Meltzer", "David", "" ], [ "Perlmutter", "Eric", "" ] ]

We derive constraints on the operator product expansion of two stress tensors in conformal field theories (CFTs), both generic and holographic. We point out that in large $N$ CFTs with a large gap to single-trace higher spin operators, the stress tensor sector is not only universal, but isolated: that is, $\langle TT{\cal O}\rangle=0$, where ${\cal O}\neq T$ is a single-trace primary. We show that this follows from a suppression of $\langle TT{\cal O}\rangle$ by powers of the higher spin gap, $\Delta_{\rm gap}$, dual to the bulk mass scale of higher spin particles, and explain why $\langle TT{\cal O}\rangle$ is a more sensitive probe of $\Delta_{\rm gap}$ than $a-c$ in 4d CFTs. This result implies that, on the level of cubic couplings, the existence of a consistent truncation to Einstein gravity is a direct consequence of the absence of higher spins. By proving similar behavior for other couplings $\langle T{\cal O}_1{\cal O}_2\rangle$ where ${\cal O}_i$ have spin $s_i\leq 2$, we are led to propose that $1/\Delta_{\rm gap}$ is the CFT "dual" of an AdS derivative in a classical action. These results are derived by imposing unitarity on mixed systems of spinning four-point functions in the Regge limit. Using the same method, but without imposing a large gap, we derive new inequalities on these three-point couplings that are valid in any CFT. These are generalizations of the Hofman-Maldacena conformal collider bounds. By combining the collider bound on $TT$ couplings to spin-2 operators with analyticity properties of CFT data, we argue that all three tensor structures of $\langle TTT\rangle$ in the free-field basis are nonzero in interacting CFTs.

6.932271

6.807671

7.813833

6.615339

6.754819

7.047504

7.004291

6.920366

6.569682

8.165171

6.369582

6.603035

7.06954

6.64442

6.540977

6.445071

6.497645

6.492324

6.548645

7.037913

6.466657

1303.0274

Lavinia Heisenberg

Paul de Fromont, Claudia de Rham, Lavinia Heisenberg and Andrew Matas

Superluminality in the Bi- and Multi- Galileon

32 pages, minor changes, few references added

null

hep-th astro-ph.CO

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

We re-explore the Bi- and Multi-Galileon models with trivial asymptotic conditions at infinity and show that propagation of superluminal fluctuations is a common and unavoidable feature of these theories, unlike previously claimed in the literature. We show that all Multi-Galileon theories containing a Cubic Galileon term exhibit superluminalities at large distances from a point source, and that even if the Cubic Galileon is not present one can always find sensible matter distributions in which there are superluminal modes at large distances. In the Bi-Galileon case we explicitly show that there are always superluminal modes around a point source even if the Cubic Galileon is not present. Finally, we briefly comment on the possibility of avoiding superluminalities by modifying the asymptotic conditions at infinity.

[ { "created": "Fri, 1 Mar 2013 20:43:14 GMT", "version": "v1" }, { "created": "Thu, 2 May 2013 10:36:43 GMT", "version": "v2" } ]

2013-05-03

[ [ "de Fromont", "Paul", "" ], [ "de Rham", "Claudia", "" ], [ "Heisenberg", "Lavinia", "" ], [ "Matas", "Andrew", "" ] ]

We re-explore the Bi- and Multi-Galileon models with trivial asymptotic conditions at infinity and show that propagation of superluminal fluctuations is a common and unavoidable feature of these theories, unlike previously claimed in the literature. We show that all Multi-Galileon theories containing a Cubic Galileon term exhibit superluminalities at large distances from a point source, and that even if the Cubic Galileon is not present one can always find sensible matter distributions in which there are superluminal modes at large distances. In the Bi-Galileon case we explicitly show that there are always superluminal modes around a point source even if the Cubic Galileon is not present. Finally, we briefly comment on the possibility of avoiding superluminalities by modifying the asymptotic conditions at infinity.

6.78239

6.917908

7.226183

6.624666

7.024135

6.615087

6.520333

6.372531

6.63586

8.169451

6.626299

6.288854

6.733976

6.64074

6.320837

6.088813

6.531367

6.282442

6.723224

6.629376

6.319982

hep-th/9302040

Solodukhin-63942

S.N.Solodukhin

Two-dimensional Black Hole With Torsion

11 pages, Preprint JINR E2-93-33

Phys.Lett. B319 (1993) 87-95

10.1016/0370-2693(93)90786-H

null

hep-th

null

The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered and it is shown that the classical equations of motion are exactly integrated in coordinate system determined by components of 2D torsion. For some choice of integrating constant the solution is of the charged black hole type. The conserved charge and ADM mass of the black hole are calculated.

[ { "created": "Wed, 10 Feb 1993 18:36:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Solodukhin", "S. N.", "" ] ]

The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered and it is shown that the classical equations of motion are exactly integrated in coordinate system determined by components of 2D torsion. For some choice of integrating constant the solution is of the charged black hole type. The conserved charge and ADM mass of the black hole are calculated.

13.125916

8.741569

10.220234

8.907775

7.910996

7.215903

8.091309

9.017871

9.150552

9.159576

9.283595

9.720065

10.351136

9.988682

9.396317

9.605451

10.209859

9.70668

10.077775

10.218833

9.915823

2309.07904

Haiying Cai

Diffeomorphism on-shell breaking from radion stabilization

16 pages, v2 redefine the gauge parameter \epsilon^\prime to be \epsilon; symmetry is on-shell broken

null

hep-th gr-qc hep-ph

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

We present for the first time the nonlinear diffeomorphism in the Randall Sundrum model that can keep the effective Lagrangian invariant in any order of expansion. We will show that the off-shell diffeomorphism shapes the interaction structure. However the radion mass is in fact protected by an on-shell diffeomorphism, which can be spontaneously broken by the Goldberger-Wise mechanism. The nonlinear property of diffeomorphism also ensures a unique radion field even in the extension of RS model with intermediate branes.

[ { "created": "Thu, 14 Sep 2023 17:53:32 GMT", "version": "v1" }, { "created": "Fri, 27 Oct 2023 17:32:18 GMT", "version": "v2" }, { "created": "Mon, 5 Feb 2024 15:53:28 GMT", "version": "v3" } ]

2024-02-06

[ [ "Cai", "Haiying", "" ] ]

We present for the first time the nonlinear diffeomorphism in the Randall Sundrum model that can keep the effective Lagrangian invariant in any order of expansion. We will show that the off-shell diffeomorphism shapes the interaction structure. However the radion mass is in fact protected by an on-shell diffeomorphism, which can be spontaneously broken by the Goldberger-Wise mechanism. The nonlinear property of diffeomorphism also ensures a unique radion field even in the extension of RS model with intermediate branes.

14.281903

13.246522

12.906861

11.809708

13.312052

13.780864

12.723826

13.221923

11.653213

12.85932

12.448891

12.18589

12.791675

11.920065

12.775383

13.283142

12.918633

12.592796

12.15337

12.961098

12.67647

1204.3790

Andrea Velenich

Dirk Kreimer and Andrea Velenich

Field diffeomorphisms and the algebraic structure of perturbative expansions

8 pages, 2 figures

Letters in Mathematical Physics: Volume 103, Issue 2 (2013), Page 171-181

10.1007/s11005-012-0589-y

null

hep-th math-ph math.MP

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

We consider field diffeomorphisms in the context of real scalar field theories. Starting from free field theories we apply non-linear field diffeomorphisms to the fields and study the perturbative expansion for the transformed theories. We find that tree level amplitudes for the transformed fields must satisfy BCFW type recursion relations for the S-matrix to remain trivial. For the massless field theory these relations continue to hold in loop computations. In the massive field theory the situation is more subtle. A necessary condition for the Feynman rules to respect the maximal ideal and co-ideal defined by the core Hopf algebra of the transformed theory is that upon renormalization all massive tadpole integrals (defined as all integrals independent of the kinematics of external momenta) are mapped to zero.

[ { "created": "Tue, 17 Apr 2012 13:32:58 GMT", "version": "v1" } ]

2015-06-04

[ [ "Kreimer", "Dirk", "" ], [ "Velenich", "Andrea", "" ] ]

We consider field diffeomorphisms in the context of real scalar field theories. Starting from free field theories we apply non-linear field diffeomorphisms to the fields and study the perturbative expansion for the transformed theories. We find that tree level amplitudes for the transformed fields must satisfy BCFW type recursion relations for the S-matrix to remain trivial. For the massless field theory these relations continue to hold in loop computations. In the massive field theory the situation is more subtle. A necessary condition for the Feynman rules to respect the maximal ideal and co-ideal defined by the core Hopf algebra of the transformed theory is that upon renormalization all massive tadpole integrals (defined as all integrals independent of the kinematics of external momenta) are mapped to zero.

12.093125

12.055331

13.301434

11.052847

12.486279

11.810071

10.972422

11.15735

11.36446

13.381109

10.691476

11.438988

12.180905

11.29857

11.082197

11.245067

11.244732

11.506852

10.816756

11.896727

10.945792

hep-th/0301185

Antti J. Niemi

M Luebcke, A.J. Niemi and K. Torokoff

Asymptotically Free Yang-Mills Classical Mechanics with Self-Linked Orbits

9 pages incl. 5 figs

Phys.Lett. B568 (2003) 176-180

10.1016/j.physletb.2003.06.059

null

hep-th

null

We construct a classical mechanics Hamiltonian which exhibits spontaneous symmetry breaking akin the Coleman-Weinberg mechanism, dimensional transmutation, and asymptotically free self-similarity congruent with the beta-function of four dimensional Yang-Mills theory. Its classical equations of motion support stable periodic orbits and in a three dimensional projection these orbits are self-linked into topologically nontrivial, toroidal knots.

[ { "created": "Thu, 23 Jan 2003 16:46:15 GMT", "version": "v1" } ]

2009-11-10

[ [ "Luebcke", "M", "" ], [ "Niemi", "A. J.", "" ], [ "Torokoff", "K.", "" ] ]

We construct a classical mechanics Hamiltonian which exhibits spontaneous symmetry breaking akin the Coleman-Weinberg mechanism, dimensional transmutation, and asymptotically free self-similarity congruent with the beta-function of four dimensional Yang-Mills theory. Its classical equations of motion support stable periodic orbits and in a three dimensional projection these orbits are self-linked into topologically nontrivial, toroidal knots.

19.865217

16.744062

20.049753

15.730029

18.738977

18.247623

18.567907

16.534239

16.389816

21.291073

15.896072

16.91828

18.180592

16.952417

17.439066

16.486206

16.483578

17.223637

17.529984

18.035183

16.91997

2101.05990

Kazumi Okuyama

Quenched free energy from spacetime D-branes

24 pages; v2: reference added. v3: to appear in JHEP

null

hep-th

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

We propose a useful integral representation of the quenched free energy which is applicable to any random systems. Our formula involves the generating function of multi-boundary correlators, which can be interpreted on the bulk gravity side as spacetime D-branes introduced by Marolf and Maxfield in [arXiv:2002.08950]. As an example, we apply our formalism to the Airy limit of the random matrix model and compute its quenched free energy under certain approximations of the generating function of correlators. It turns out that the resulting quenched free energy is a monotonically decreasing function of the temperature, as expected.

[ { "created": "Fri, 15 Jan 2021 07:05:48 GMT", "version": "v1" }, { "created": "Tue, 19 Jan 2021 23:02:15 GMT", "version": "v2" }, { "created": "Sat, 30 Jan 2021 09:30:22 GMT", "version": "v3" } ]

2021-02-02

[ [ "Okuyama", "Kazumi", "" ] ]

We propose a useful integral representation of the quenched free energy which is applicable to any random systems. Our formula involves the generating function of multi-boundary correlators, which can be interpreted on the bulk gravity side as spacetime D-branes introduced by Marolf and Maxfield in [arXiv:2002.08950]. As an example, we apply our formalism to the Airy limit of the random matrix model and compute its quenched free energy under certain approximations of the generating function of correlators. It turns out that the resulting quenched free energy is a monotonically decreasing function of the temperature, as expected.

10.543042

9.265203

10.973372

9.54912

9.320615

10.479593

9.348435

9.210921

8.989377

11.742899

9.397776

8.920312

9.775958

9.00196

9.013463

8.596994

8.916809

8.939187

9.060021

10.241111

9.044855

2101.02226

Alessia Benedetta Platania

Ivano Basile and Alessia Platania

Cosmological $\alpha'$-corrections from the functional renormalization group

31 pages, 9 figures. V2: References added and minor modifications. Matches published version

J. High Energ. Phys. 2021, 45 (2021)

10.1007/JHEP06(2021)045

null

hep-th gr-qc

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

We employ the techniques of the Functional Renormalization Group in string theory, in order to derive an effective mini-superspace action for cosmological backgrounds to all orders in the string scale $\alpha'$. To this end, T-duality plays a crucial role, classifying all perturbative curvature corrections in terms of a single function of the Hubble parameter. The resulting renormalization group equations admit an exact, albeit non-analytic, solution in any spacetime dimension $D$, which is however incompatible with Einstein gravity at low energies. Within an $\epsilon$-expansion about $D=2$, we also find an analytic solution which exhibits a non-Gaussian ultraviolet fixed point with positive Newton coupling, as well as an acceptable low-energy limit. Yet, within polynomial truncations of the full theory space, we find no evidence for an analog of this solution in $D=4$. Finally, we comment on potential cosmological implications of our findings.

[ { "created": "Wed, 6 Jan 2021 19:03:23 GMT", "version": "v1" }, { "created": "Wed, 9 Jun 2021 19:40:14 GMT", "version": "v2" } ]

2021-06-11

[ [ "Basile", "Ivano", "" ], [ "Platania", "Alessia", "" ] ]

We employ the techniques of the Functional Renormalization Group in string theory, in order to derive an effective mini-superspace action for cosmological backgrounds to all orders in the string scale $\alpha'$. To this end, T-duality plays a crucial role, classifying all perturbative curvature corrections in terms of a single function of the Hubble parameter. The resulting renormalization group equations admit an exact, albeit non-analytic, solution in any spacetime dimension $D$, which is however incompatible with Einstein gravity at low energies. Within an $\epsilon$-expansion about $D=2$, we also find an analytic solution which exhibits a non-Gaussian ultraviolet fixed point with positive Newton coupling, as well as an acceptable low-energy limit. Yet, within polynomial truncations of the full theory space, we find no evidence for an analog of this solution in $D=4$. Finally, we comment on potential cosmological implications of our findings.

8.173027

7.962183

8.379088

7.20439

7.704912

7.34997

7.500321

7.371938

7.155363

8.220563

7.288972

7.540845

7.617759

7.615864

7.861798

7.816228

7.558631

7.604237

7.71927

8.035575

7.607066

2309.14036

Alexei Nurmagambetov

A.M. Arslanaliev, A.J. Nurmagambetov

Taking the Null-Hypersurface Limit in the Parikh-Wilczek Membrane Approach

20 pages, pdflatex

null

hep-th gr-qc

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

We consider subtleties of the horizon (null-hypersurface) limit in the Parikh-Wilczek Membrane Approach to Black Holes. Specifically, we refine the correspondence between the (projected) Einstein equations of gravity with matter and the Raychaudhuri-Damour-Navier-Stokes (RDNS) equations of relativistic hydrodynamics. For a general configuration of gravity with matter we obtain additional terms in the hydrodynamic equations, which include logarithmic derivarives of a parameter (the regularization function) determining the proximity of a stretched membrane to the BH horizon. Direct computation of the new terms for exact (Schwarzschild and Kerr) solutions to the Einstein equations results in vanishing the additions to the RDNS equations in the horizon limit. For spacetimes, which are not exact solutions to the Einstein equations, as, for instance, for space-time configurations mimicking black holes, taking into account new terms in the RDNS equations is the mandatory operation. We also comment the correspondence between the horizon limit of the Parikh-Wilczek Membrane Approach and the Gourgoulhon-Jaramillo method of a null-hypersurface description, as well as the link of the obtained results to our previous work on the Kerr black holes.

[ { "created": "Mon, 25 Sep 2023 11:03:41 GMT", "version": "v1" } ]

2023-09-26

[ [ "Arslanaliev", "A. M.", "" ], [ "Nurmagambetov", "A. J.", "" ] ]

We consider subtleties of the horizon (null-hypersurface) limit in the Parikh-Wilczek Membrane Approach to Black Holes. Specifically, we refine the correspondence between the (projected) Einstein equations of gravity with matter and the Raychaudhuri-Damour-Navier-Stokes (RDNS) equations of relativistic hydrodynamics. For a general configuration of gravity with matter we obtain additional terms in the hydrodynamic equations, which include logarithmic derivarives of a parameter (the regularization function) determining the proximity of a stretched membrane to the BH horizon. Direct computation of the new terms for exact (Schwarzschild and Kerr) solutions to the Einstein equations results in vanishing the additions to the RDNS equations in the horizon limit. For spacetimes, which are not exact solutions to the Einstein equations, as, for instance, for space-time configurations mimicking black holes, taking into account new terms in the RDNS equations is the mandatory operation. We also comment the correspondence between the horizon limit of the Parikh-Wilczek Membrane Approach and the Gourgoulhon-Jaramillo method of a null-hypersurface description, as well as the link of the obtained results to our previous work on the Kerr black holes.

10.681371

11.817079

11.035311

10.668243

11.393269

11.158714

11.304285

11.242093

10.598805

12.382581

10.962033

10.583827

10.510027

10.105548

10.034193

10.401258

10.427835

10.568169

10.184758

10.456086

10.34227

hep-th/9311061

Masud Chaichian

M. Chaichian and A.P.Demichev

Large Quantum Poincare Subgroup of q-Conformal Group and q-Minkowski Geometry

12 pages, Latex, HU-SEFT R 1993-15

null

hep-th

null

We construct quantum deformation of Poincar\'e group using as a starting point $SU(2,2)$ conformal group and twistor-like definition of the Minkowski space. We obtain quantum deformation of $SU(2,2)$ as a real form of multiparametric $GL(4,C)_{q_{ij},r}$. It is shown that Poincar\'e subgroup exists for special nonstandard one-parametric deformation only, the deformation parameter $r$ being equal to unity. This leads to commuting affine structure of the corresponding Minkowski space and simple structure of the corresponding Lie algebra, the deformation of the group being non-trivial.

[ { "created": "Wed, 10 Nov 1993 14:34:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Chaichian", "M.", "" ], [ "Demichev", "A. P.", "" ] ]

We construct quantum deformation of Poincar\'e group using as a starting point $SU(2,2)$ conformal group and twistor-like definition of the Minkowski space. We obtain quantum deformation of $SU(2,2)$ as a real form of multiparametric $GL(4,C)_{q_{ij},r}$. It is shown that Poincar\'e subgroup exists for special nonstandard one-parametric deformation only, the deformation parameter $r$ being equal to unity. This leads to commuting affine structure of the corresponding Minkowski space and simple structure of the corresponding Lie algebra, the deformation of the group being non-trivial.

10.351967

10.680775

10.916795

9.795682

12.272868

12.15058

11.137785

11.15665

10.52509

12.006694

10.151462

9.891757

9.852375

9.953061

10.495012

10.415895

10.062738

10.098291

10.325587

9.987495

9.897676

hep-th/9501068

Jose M. Izquierdo

P.K. Townsend

The eleven-dimensional supermembrane revisited

10 pages, phyzzx.tex, no figures

Phys.Lett.B350:184-187,1995

10.1016/0370-2693(95)00397-4

DAMTP-R/95/2

hep-th gr-qc

null

It is argued that the type IIA 10-dimensional superstring theory is actually a compactified 11-dimensional supermembrane theory in which the fundamental supermembrane is identified with the the solitonic membrane of 11-dimensional supergravity. The charged extreme black holes of the 10-dimensional type IIA string theory are interpreted as the Kaluza-Klein modes of 11-dimensional supergravity and the dual sixbranes as the analogue of Kaluza-Klein monopoles. All other p-brane solutions of the type IIA superstring theory are derived from the 11-dimensional membrane and its magnetic dual fivebrane soliton.

[ { "created": "Tue, 17 Jan 1995 17:15:14 GMT", "version": "v1" } ]

2016-09-06

[ [ "Townsend", "P. K.", "" ] ]

It is argued that the type IIA 10-dimensional superstring theory is actually a compactified 11-dimensional supermembrane theory in which the fundamental supermembrane is identified with the the solitonic membrane of 11-dimensional supergravity. The charged extreme black holes of the 10-dimensional type IIA string theory are interpreted as the Kaluza-Klein modes of 11-dimensional supergravity and the dual sixbranes as the analogue of Kaluza-Klein monopoles. All other p-brane solutions of the type IIA superstring theory are derived from the 11-dimensional membrane and its magnetic dual fivebrane soliton.

6.15798

5.899602

6.836132

5.692231

6.341675

5.844043

5.896231

6.03206

5.880186

6.939731

5.757684

5.690518

6.32506

5.844228

5.74827

5.775473

6.030373

5.84831

5.987841

6.207305

5.75544

hep-th/0011238

Martin Schnabl

Constraints on the tachyon condensate from anomalous symmetries

6 pages

Phys.Lett. B504 (2001) 61-63

10.1016/S0370-2693(01)00282-9

SISSA 109/2000/EP

hep-th

null

Using anomalous symmetries of the cubic string field theory vertex we derive set of relations between the coefficients of the tachyon condensate. They are in agreement with the results obtained from level truncation approximation.

[ { "created": "Mon, 27 Nov 2000 14:54:02 GMT", "version": "v1" } ]

2009-10-31

[ [ "Schnabl", "Martin", "" ] ]

Using anomalous symmetries of the cubic string field theory vertex we derive set of relations between the coefficients of the tachyon condensate. They are in agreement with the results obtained from level truncation approximation.

13.164164

7.927314

12.833688

8.122731

7.243721

8.470272

8.374858

7.921502

8.283823

13.540158

7.506848

9.871594

12.083387

9.297139

10.087413

10.383661

9.514613

9.909184

9.409959

12.399869

9.114719

hep-th/0512084

Orfeu Bertolami

O. Bertolami, J.G. Rosa

Gravitational Quantum Well

Latex file, 13 pages plus 2 eps figures and style files; invited talk presented by O.B. To appear in the Proceedings of the Fourth Meeting on Constrained Dynamics and Quantum Gravity (QG05), Cala Gonone, Sardegna, Italy, 12-16 September 2005; typos corrected, references updated

J.Phys.Conf.Ser. 33 (2006) 118-130

10.1088/1742-6596/33/1/011

null

hep-th

null

We discuss the implications of a model of noncommutative Quantum Mechanics where noncommutativity is extended to the phase space. We analyze how this model affects the problem of the two-dimensional gravitational quantum well and use the latest experimental results for the energy states of neutrons in the Earth's gravitational field to establish an upper bound on the fundamental momentum scale introduced by noncommutativity. We show that the configuration space noncommutativity has, in leading order, no effect on the problem and that in the context of the model, a correction to the presently accepted value of Planck's constant to 1 part in $10^{24}$ arises. We also study the transition between quantum and classical behaviour of particles in a gravitational quantum well and analyze how an increase in the particles mass turns the energy spectrum into a continuous one. We consider these effects and argue that they could be tested by through experiments with atoms and fullerene-type molecules.

[ { "created": "Wed, 7 Dec 2005 15:13:15 GMT", "version": "v1" }, { "created": "Fri, 27 Jan 2006 14:37:00 GMT", "version": "v2" } ]

2015-06-26

[ [ "Bertolami", "O.", "" ], [ "Rosa", "J. G.", "" ] ]

We discuss the implications of a model of noncommutative Quantum Mechanics where noncommutativity is extended to the phase space. We analyze how this model affects the problem of the two-dimensional gravitational quantum well and use the latest experimental results for the energy states of neutrons in the Earth's gravitational field to establish an upper bound on the fundamental momentum scale introduced by noncommutativity. We show that the configuration space noncommutativity has, in leading order, no effect on the problem and that in the context of the model, a correction to the presently accepted value of Planck's constant to 1 part in $10^{24}$ arises. We also study the transition between quantum and classical behaviour of particles in a gravitational quantum well and analyze how an increase in the particles mass turns the energy spectrum into a continuous one. We consider these effects and argue that they could be tested by through experiments with atoms and fullerene-type molecules.

10.051789

9.136431

9.761671

8.979315

9.793788

9.428007

9.079764

9.160386

9.301172

9.75126

10.024564

9.732845

9.565893

9.621629

9.493855

9.740016

9.699142

9.790247

9.795126

9.697138

10.038051

1510.04864

Artymowski Michal

Michal Artymowski, Zygmunt Lalak, Marek Lewicki

Inflation and dark energy from $f(R)$ gravity

6 pages, 3 figures

null

hep-th gr-qc

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

Inflationary paradigm has several issues, such as the pre-inflationary horizon problem or the eternal inflation. To avoid that the standard Starobinsky inflation has been extended to $R + \alpha R^n$ and $R + \alpha R^n -\delta R^{2-n}$ models as well as Brans-Dicke generalisation of those $f(R)$ models. The region of the parameter space, which provides consistency with PLANCK data and lack of eternal inflation has been founded. The Einstein frame potential has a stable minimum with non-zero vacuum energy, which may be a source of dark energy.

[ { "created": "Fri, 16 Oct 2015 12:36:55 GMT", "version": "v1" } ]

2015-10-19

[ [ "Artymowski", "Michal", "" ], [ "Lalak", "Zygmunt", "" ], [ "Lewicki", "Marek", "" ] ]

Inflationary paradigm has several issues, such as the pre-inflationary horizon problem or the eternal inflation. To avoid that the standard Starobinsky inflation has been extended to $R + \alpha R^n$ and $R + \alpha R^n -\delta R^{2-n}$ models as well as Brans-Dicke generalisation of those $f(R)$ models. The region of the parameter space, which provides consistency with PLANCK data and lack of eternal inflation has been founded. The Einstein frame potential has a stable minimum with non-zero vacuum energy, which may be a source of dark energy.

10.49092

9.657352

9.472956

9.457759

10.720608

10.010825

10.234601

9.199198

9.521017

10.029211

9.103356

9.564049

9.878957

9.752626

9.820485

9.119373

9.337322

9.540133

9.332211

9.938691

9.259726

hep-th/0004012

Fedor Gubarev

F.V.Gubarev, V.I.Zakharov

The Berry Phase and Monopoles in Non-Abelian Gauge Theories

18 pp., Latex2e, 4 figures, psfig.sty

Int.J.Mod.Phys. A17 (2002) 157-174

10.1142/S0217751X02005840

ITEP-TH-14/00

hep-th hep-lat

null

We consider the quantum mechanical notion of the geometrical (Berry) phase in SU(2) gauge theory, both in the continuum and on the lattice. It is shown that in the coherent state basis eigenvalues of the Wilson loop operator naturally decompose into the geometrical and dynamical phase factors. Moreover, for each Wilson loop there is a unique choice of U(1) gauge rotations which do not change the value of the Berry phase. Determining this U(1) locally in terms of infinitesimal Wilson loops we define monopole-like defects and study their properties in numerical simulations on the lattice. The construction is gauge dependent, as is common for all known definitions of monopoles. We argue that for physical applications the use of the Lorenz gauge is most appropriate. And, indeed, the constructed monopoles have the correct continuum limit in this gauge. Physical consequences are briefly discussed.

[ { "created": "Mon, 3 Apr 2000 18:22:35 GMT", "version": "v1" } ]

2009-10-31

[ [ "Gubarev", "F. V.", "" ], [ "Zakharov", "V. I.", "" ] ]

We consider the quantum mechanical notion of the geometrical (Berry) phase in SU(2) gauge theory, both in the continuum and on the lattice. It is shown that in the coherent state basis eigenvalues of the Wilson loop operator naturally decompose into the geometrical and dynamical phase factors. Moreover, for each Wilson loop there is a unique choice of U(1) gauge rotations which do not change the value of the Berry phase. Determining this U(1) locally in terms of infinitesimal Wilson loops we define monopole-like defects and study their properties in numerical simulations on the lattice. The construction is gauge dependent, as is common for all known definitions of monopoles. We argue that for physical applications the use of the Lorenz gauge is most appropriate. And, indeed, the constructed monopoles have the correct continuum limit in this gauge. Physical consequences are briefly discussed.

9.205374

9.333434

8.828328

8.938134

8.496499

8.79556

9.368979

8.759048

8.695008

9.936201

8.388655

8.83739

8.967672

8.747828

8.980748

9.002919

8.841879

8.911451

8.950367

9.393562

8.805839

2405.07779

Gustavo De Brito

Gustavo P. de Brito, Antonio D. Pereira

Infrared gluon propagator in the Refined Gribov-Zwanziger scenario at one-loop order in the Landau gauge

12 pages (including refs.); 6 figures

null

hep-th hep-lat hep-ph

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

The Refined Gribov-Zwanziger (RGZ) action in the Landau gauge provides a local and renormalizable framework to account for the existence of infinitesimal Gribov copies in the path integral together with other relevant infrared effects such as the formation of condensates. The properties of the tree-level gluon propagator obtained in this setup has been thoroughly investigated over the past decade. It accommodates important properties seen in lattice simulations such as a finite value at vanishing momentum and positivity violation. Yet a comprehensive study about the stability of such properties against quantum corrections was lacking. In this work, we compute the gluon propagator in the RGZ scenario at one-loop order and implement an appropriate renormalization scheme in order to compare our findings with lattice data. Remarkably, the qualitative properties of the tree-level gluon propagator are preserved. In particular, the fits with lattice data show evidence for positivity violation and the existence of complex poles for SU(2) and SU(3) gauge groups. We comment on the results for the ghost propagator as well.

[ { "created": "Mon, 13 May 2024 14:24:21 GMT", "version": "v1" } ]

2024-05-14

[ [ "de Brito", "Gustavo P.", "" ], [ "Pereira", "Antonio D.", "" ] ]

The Refined Gribov-Zwanziger (RGZ) action in the Landau gauge provides a local and renormalizable framework to account for the existence of infinitesimal Gribov copies in the path integral together with other relevant infrared effects such as the formation of condensates. The properties of the tree-level gluon propagator obtained in this setup has been thoroughly investigated over the past decade. It accommodates important properties seen in lattice simulations such as a finite value at vanishing momentum and positivity violation. Yet a comprehensive study about the stability of such properties against quantum corrections was lacking. In this work, we compute the gluon propagator in the RGZ scenario at one-loop order and implement an appropriate renormalization scheme in order to compare our findings with lattice data. Remarkably, the qualitative properties of the tree-level gluon propagator are preserved. In particular, the fits with lattice data show evidence for positivity violation and the existence of complex poles for SU(2) and SU(3) gauge groups. We comment on the results for the ghost propagator as well.

7.158497

6.20119

6.567928

5.982162

6.865722

6.393135

6.693738

6.561003

6.465113

7.315549

6.416641

6.370522

6.849495

6.450652

6.403611

6.570943

6.686748

6.544331

6.365134

6.447521

6.541293

hep-th/0010066

Hiroshi Itoyama

B. Chen, H. Itoyama, T. Matsuo and K. Murakami

Correspondence between Noncommutative Soliton and Open String/D-brane System via Gaussian Damping Factor

17 pages, Latex

Prog.Theor.Phys. 105 (2001) 853-868

10.1143/PTP.105.853

OU-HET-361

hep-th

null

The gaussian damping factor (g.d.f.) and the new interaction vertex with the symplectic tensor are the characteristic properties of the N-point scalar-vector scattering amplitudes of the p-p' (p < p') open string system which realizes noncommutative geometry. The g.d.f. is here interpreted as a form factor of the Dp-brane by noncommutative U(1) current. Observing that the g.d.f. is in fact equal to the Fourier transform of the noncommutative projector soliton introduced by Gopakumar, Minwalla and Strominger, we further identify the Dp-brane in the zero slope limit with the noncommutative soliton state. It is shown that the g.d.f. depends only on the total momentum of N-2 incoming/outgoing photons in the zero slope limit. In the description of the low-energy effective action (LEEA) proposed before, this is shown to follow from the delta function propagator and the form of the initial/final wave functions in the soliton sector which resides in x^{m} m= p+1, ...p' dependent part of the scalar field \Phi(x^\mu, x^m). The three and four point amplitudes computed from LEEA agree with string calculation. We discuss related issues which are resummation/lifting of infinite degeneracy and conservation of momentum transverse to the Dp-brane.

[ { "created": "Tue, 10 Oct 2000 12:03:04 GMT", "version": "v1" } ]

2009-10-31

[ [ "Chen", "B.", "" ], [ "Itoyama", "H.", "" ], [ "Matsuo", "T.", "" ], [ "Murakami", "K.", "" ] ]

The gaussian damping factor (g.d.f.) and the new interaction vertex with the symplectic tensor are the characteristic properties of the N-point scalar-vector scattering amplitudes of the p-p' (p < p') open string system which realizes noncommutative geometry. The g.d.f. is here interpreted as a form factor of the Dp-brane by noncommutative U(1) current. Observing that the g.d.f. is in fact equal to the Fourier transform of the noncommutative projector soliton introduced by Gopakumar, Minwalla and Strominger, we further identify the Dp-brane in the zero slope limit with the noncommutative soliton state. It is shown that the g.d.f. depends only on the total momentum of N-2 incoming/outgoing photons in the zero slope limit. In the description of the low-energy effective action (LEEA) proposed before, this is shown to follow from the delta function propagator and the form of the initial/final wave functions in the soliton sector which resides in x^{m} m= p+1, ...p' dependent part of the scalar field \Phi(x^\mu, x^m). The three and four point amplitudes computed from LEEA agree with string calculation. We discuss related issues which are resummation/lifting of infinite degeneracy and conservation of momentum transverse to the Dp-brane.

13.681079

12.671508

15.790074

12.717712

13.475838

13.876342

13.906711

12.894617

13.816494

14.960642

12.900661

12.609498

13.667021

12.970078

12.795512

12.387984

12.720724

12.519023

13.013104

14.155022

12.369246

2407.19003

Xinyu Sun

Xinyu Sun and Shao-Kai Jian

Holographic dual of defect CFT with corner contributions

4.2 pages + supplemental material, 3 figures

null

hep-th cond-mat.stat-mech

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

We study defect CFT within the framework of holographic duality, emphasizing the impact of corner contributions. We model distinct conformal defects using interface branes that differ in tensions and are connected by a corner. Employing the relationship between CFT scaling dimensions and Euclidean gravity actions, we outline a general procedure for calculating the anomalous dimensions of defect changing operators at nontrivial cusps. Several analytical results are obtained, including the cusp anomalous dimensions at big and small angles. While $1/\phi$ universal divergence appears for small cusp angles due to the fusion of two defects, more interestingly, we uncover a bubble phase rendered by a near zero angle cusp, in which the divergence is absent.

[ { "created": "Fri, 26 Jul 2024 18:00:00 GMT", "version": "v1" } ]

2024-07-30

[ [ "Sun", "Xinyu", "" ], [ "Jian", "Shao-Kai", "" ] ]

We study defect CFT within the framework of holographic duality, emphasizing the impact of corner contributions. We model distinct conformal defects using interface branes that differ in tensions and are connected by a corner. Employing the relationship between CFT scaling dimensions and Euclidean gravity actions, we outline a general procedure for calculating the anomalous dimensions of defect changing operators at nontrivial cusps. Several analytical results are obtained, including the cusp anomalous dimensions at big and small angles. While $1/\phi$ universal divergence appears for small cusp angles due to the fusion of two defects, more interestingly, we uncover a bubble phase rendered by a near zero angle cusp, in which the divergence is absent.

22.977901

19.33251

22.61252

20.299313

20.220423

22.471504

22.476643

20.095184

21.165161

21.971493

20.490286

19.865644

22.01589

20.069836

19.884098

20.327204

20.512535

20.4862

20.272121

21.216593

20.876858

1306.4347

Juan Jottar

Jan de Boer and Juan I. Jottar

Entanglement Entropy and Higher Spin Holography in AdS$_3$

36 pages + appendices, 6 figures

JHEP 1404:089,2014

10.1007/JHEP04(2014)089

null

hep-th cond-mat.str-el

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

A holographic correspondence has been recently developed between higher spin theories in three-dimensional anti-de Sitter space (AdS_3) and two-dimensional Conformal Field Theories (CFTs) with extended symmetries. A class of such dualities involves SL(N,R)\times SL(N,R) Chern-Simons gauge theories in the (2+1)-dimensional bulk spacetime, and CFTs with W_N symmetry algebras on the (1+1)-dimensional boundary. The topological character of the Chern-Simons theory forces one to reconsider standard geometric notions such as black hole horizons and entropy, as well as the usual holographic dictionary. Motivated by this challenge, in this note we present a proposal to compute entanglement entropy in the W_N CFTs via holographic methods. In particular, we introduce a functional constructed from Wilson lines in the bulk Chern-Simons theory that captures the entanglement entropy in the CFTs dual to standard AdS_3 gravity, corresponding to SL(2,R)\times SL(2,R) gauge group, and admits an immediate generalization to the higher spin case. We explicitly evaluate this functional for several known solutions of the Chern-Simons theory, including charged black holes dual to thermal CFT states carrying higher spin charge, and show that it reproduces expected features of entanglement entropy, study whether it obeys strong subadditivity, and moreover show that it reduces to the thermal entropy in the appropriate limit.

[ { "created": "Tue, 18 Jun 2013 20:47:45 GMT", "version": "v1" } ]

2018-10-09

[ [ "de Boer", "Jan", "" ], [ "Jottar", "Juan I.", "" ] ]

A holographic correspondence has been recently developed between higher spin theories in three-dimensional anti-de Sitter space (AdS_3) and two-dimensional Conformal Field Theories (CFTs) with extended symmetries. A class of such dualities involves SL(N,R)\times SL(N,R) Chern-Simons gauge theories in the (2+1)-dimensional bulk spacetime, and CFTs with W_N symmetry algebras on the (1+1)-dimensional boundary. The topological character of the Chern-Simons theory forces one to reconsider standard geometric notions such as black hole horizons and entropy, as well as the usual holographic dictionary. Motivated by this challenge, in this note we present a proposal to compute entanglement entropy in the W_N CFTs via holographic methods. In particular, we introduce a functional constructed from Wilson lines in the bulk Chern-Simons theory that captures the entanglement entropy in the CFTs dual to standard AdS_3 gravity, corresponding to SL(2,R)\times SL(2,R) gauge group, and admits an immediate generalization to the higher spin case. We explicitly evaluate this functional for several known solutions of the Chern-Simons theory, including charged black holes dual to thermal CFT states carrying higher spin charge, and show that it reproduces expected features of entanglement entropy, study whether it obeys strong subadditivity, and moreover show that it reduces to the thermal entropy in the appropriate limit.

4.629246

4.638263

5.550528

4.662368

4.865296

4.938271

5.023803

4.625513

4.543481

6.155118

4.521553

4.493726

4.913732

4.612747

4.690004

4.597847

4.571548

4.65441

4.728699

4.902293

4.595183

hep-th/0008106

Miguel S. Costa

Miguel S. Costa (Princeton University) and Malcolm J. Perry (Cambridge University)

Interacting Black Holes

22 pages, 4 figures, Latex

Nucl.Phys. B591 (2000) 469-487

10.1016/S0550-3213(00)00577-0

PUPT-1947, DAMTP-2000-76

hep-th gr-qc

null

We revisit the geometry representing l collinear Schwarzschild black holes. It is seen that the black holes' horizons are deformed by their mutual gravitational attraction. The geometry has a string like conical singularity that connects the holes but has nevertheless a well defined action. Using standard gravitational thermodynamics techniques we determine the Free energy for two black holes at fixed temperature and distance, their entropy and mutual force. When the black holes are far apart the results agree with Newtonian gravity expectations. This analyses is generalized to the case of charged black holes. Then we consider black holes embedded in String/M-theory as bound states of branes. Using the effective string description of these bound states and for large separation we reproduce exactly the semi-classical result for the entropy, including the correction associated with the interaction between the holes.

[ { "created": "Sat, 12 Aug 2000 21:17:48 GMT", "version": "v1" } ]

2009-10-31

[ [ "Costa", "Miguel S.", "", "Princeton University" ], [ "Perry", "Malcolm J.", "", "Cambridge\n University" ] ]

We revisit the geometry representing l collinear Schwarzschild black holes. It is seen that the black holes' horizons are deformed by their mutual gravitational attraction. The geometry has a string like conical singularity that connects the holes but has nevertheless a well defined action. Using standard gravitational thermodynamics techniques we determine the Free energy for two black holes at fixed temperature and distance, their entropy and mutual force. When the black holes are far apart the results agree with Newtonian gravity expectations. This analyses is generalized to the case of charged black holes. Then we consider black holes embedded in String/M-theory as bound states of branes. Using the effective string description of these bound states and for large separation we reproduce exactly the semi-classical result for the entropy, including the correction associated with the interaction between the holes.

15.754734

14.277812

14.464207

13.593711

13.715669

13.665787

13.745592

14.013105

14.564885

15.000423

13.89776

14.517001

15.099381

14.814899

14.59188

14.249476

14.315763

14.382614

14.639997

14.904572

14.5301

hep-th/9609216

Michael Engelhardt

Michael Engelhardt and Shimon Levit (Weizmann Institute)

Variational Master Field for Large-N Interacting Matrix Models - Free Random Variables on Trial

24 pages, 16 figures

Nucl.Phys. B488 (1997) 735-774

10.1016/S0550-3213(97)00043-6

null

hep-th cond-mat nucl-th

null

Matrices are said to behave as free non-commuting random variables if the action which governs their dynamics constrains only their eigenvalues, i.e. depends on traces of powers of individual matrices. The authors use recently developed mathematical techniques in combination with a standard variational principle to formulate a new variational approach for matrix models. Approximate variational solutions of interacting large-N matrix models are found using the free random matrices as the variational space. Several classes of classical and quantum mechanical matrix models with different types of interactions are considered and the variational solutions compared with exact Monte Carlo and analytical results. Impressive agreement is found in a majority of cases.

[ { "created": "Fri, 27 Sep 1996 16:36:05 GMT", "version": "v1" } ]

2009-10-30

[ [ "Engelhardt", "Michael", "", "Weizmann Institute" ], [ "Levit", "Shimon", "", "Weizmann Institute" ] ]

Matrices are said to behave as free non-commuting random variables if the action which governs their dynamics constrains only their eigenvalues, i.e. depends on traces of powers of individual matrices. The authors use recently developed mathematical techniques in combination with a standard variational principle to formulate a new variational approach for matrix models. Approximate variational solutions of interacting large-N matrix models are found using the free random matrices as the variational space. Several classes of classical and quantum mechanical matrix models with different types of interactions are considered and the variational solutions compared with exact Monte Carlo and analytical results. Impressive agreement is found in a majority of cases.

17.250896

16.584604

15.193129

15.285354

16.52668

16.203648

16.765556

14.568156

14.730071

19.995314

15.838063

14.340652

13.861634

14.154934

14.158414

13.848586

13.916

14.164528

13.973258

15.192621

14.480235

2406.02698

Paul Ryan

Simon Ekhammar, Nikolay Gromov, Paul Ryan

New Approach to Strongly Coupled N = 4 SYM via Integrability

V2. Fixed typos

null

hep-th

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

Finding a systematic expansion of the spectrum of free superstrings on AdS${}_5\times $S${}^5$, or equivalently strongly coupled N = 4 SYM in the planar limit, remains an outstanding challenge. No first principle string theory methods are readily available, instead the sole tool at our disposal is the integrability-based Quantum Spectral Curve (QSC). For example, through the QSC the first five orders in the strong coupling expansion of the conformal dimension of an infinite family of short operators have been obtained. However, when using the QSC at strong coupling one must often rely on numerics, and the existing methods for solving the QSC rapidly lose precision as we approach the strong coupling regime. In this paper, we introduce a new framework that utilises a novel set of QSC variables with a regular strong coupling expansion. We demonstrate how to use this approach to construct a new numerical algorithm that remains stable even at a 't Hooft coupling as large as $10^6$ (or g ~ 100). Employing this approach, we derive new analytic results for some states in the sl(2) sector and beyond. We present a new analytic prediction for a coefficient in the strong coupling expansion of the conformal dimension for the lowest trajectory at a given twist L. For non-lowest trajectories, we uncover a novel feature of mixing with operators outside the sl(2) sector, which manifests as a new type of analytic dependence on the twist.

[ { "created": "Tue, 4 Jun 2024 18:23:54 GMT", "version": "v1" }, { "created": "Thu, 6 Jun 2024 17:31:54 GMT", "version": "v2" } ]

2024-06-07

[ [ "Ekhammar", "Simon", "" ], [ "Gromov", "Nikolay", "" ], [ "Ryan", "Paul", "" ] ]

Finding a systematic expansion of the spectrum of free superstrings on AdS${}_5\times $S${}^5$, or equivalently strongly coupled N = 4 SYM in the planar limit, remains an outstanding challenge. No first principle string theory methods are readily available, instead the sole tool at our disposal is the integrability-based Quantum Spectral Curve (QSC). For example, through the QSC the first five orders in the strong coupling expansion of the conformal dimension of an infinite family of short operators have been obtained. However, when using the QSC at strong coupling one must often rely on numerics, and the existing methods for solving the QSC rapidly lose precision as we approach the strong coupling regime. In this paper, we introduce a new framework that utilises a novel set of QSC variables with a regular strong coupling expansion. We demonstrate how to use this approach to construct a new numerical algorithm that remains stable even at a 't Hooft coupling as large as $10^6$ (or g ~ 100). Employing this approach, we derive new analytic results for some states in the sl(2) sector and beyond. We present a new analytic prediction for a coefficient in the strong coupling expansion of the conformal dimension for the lowest trajectory at a given twist L. For non-lowest trajectories, we uncover a novel feature of mixing with operators outside the sl(2) sector, which manifests as a new type of analytic dependence on the twist.

8.670957

8.824799

9.863476

8.508019

9.304157

8.719467

9.504429

8.768073

8.578543

9.854334

8.545075

8.693555

8.696891

8.566513

8.616822

8.649482

8.595825

8.534739

8.68903

8.978309

8.892518

0804.4335

Jorgen Rasmussen

Jorgen Rasmussen, Paul A. Pearce

W-Extended Fusion Algebra of Critical Percolation

30 pages

J.Phys.A41:295208,2008

10.1088/1751-8113/41/29/295208

null

hep-th

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

Two-dimensional critical percolation is the member LM(2,3) of the infinite series of Yang-Baxter integrable logarithmic minimal models LM(p,p'). We consider the continuum scaling limit of this lattice model as a `rational' logarithmic conformal field theory with extended W=W_{2,3} symmetry and use a lattice approach on a strip to study the fundamental fusion rules in this extended picture. We find that the representation content of the ensuing closed fusion algebra contains 26 W-indecomposable representations with 8 rank-1 representations, 14 rank-2 representations and 4 rank-3 representations. We identify these representations with suitable limits of Yang-Baxter integrable boundary conditions on the lattice and obtain their associated W-extended characters. The latter decompose as finite non-negative sums of W-irreducible characters of which 13 are required. Implementation of fusion on the lattice allows us to read off the fusion rules governing the fusion algebra of the 26 representations and to construct an explicit Cayley table. The closure of these representations among themselves under fusion is remarkable confirmation of the proposed extended symmetry.

[ { "created": "Mon, 28 Apr 2008 07:24:49 GMT", "version": "v1" } ]

2008-11-26

[ [ "Rasmussen", "Jorgen", "" ], [ "Pearce", "Paul A.", "" ] ]

Two-dimensional critical percolation is the member LM(2,3) of the infinite series of Yang-Baxter integrable logarithmic minimal models LM(p,p'). We consider the continuum scaling limit of this lattice model as a `rational' logarithmic conformal field theory with extended W=W_{2,3} symmetry and use a lattice approach on a strip to study the fundamental fusion rules in this extended picture. We find that the representation content of the ensuing closed fusion algebra contains 26 W-indecomposable representations with 8 rank-1 representations, 14 rank-2 representations and 4 rank-3 representations. We identify these representations with suitable limits of Yang-Baxter integrable boundary conditions on the lattice and obtain their associated W-extended characters. The latter decompose as finite non-negative sums of W-irreducible characters of which 13 are required. Implementation of fusion on the lattice allows us to read off the fusion rules governing the fusion algebra of the 26 representations and to construct an explicit Cayley table. The closure of these representations among themselves under fusion is remarkable confirmation of the proposed extended symmetry.

12.418324

12.147614

14.638444

12.133763

12.947316

11.941364

12.521498

11.232337

11.718841

15.521858

11.975015

12.070612

13.672359

11.839202

12.475783

12.165537

12.228374

11.684865

12.056412

12.945664

12.02707

hep-th/0206174

B. Stefanski jr.

B. Stefanski, jr

D-branes, Orientifolds and K-theory

6 pages, to appear in the proceedings of the RTN meeting ``The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions'', (Corfu, September 2001)

null

10.1002/1521-3978(200209)50:8/9<986::AID-PROP986>3.0.CO;2-#

null

hep-th

null

The complete D-brane spectrum in $\Zop_2$ orientifolds is computed. Stable non-BPS D-branes with both integral and torsion charges are found. The relation to K-theory is discussed and a new K-theory relevant to orientifolds is suggested.

[ { "created": "Wed, 19 Jun 2002 08:22:34 GMT", "version": "v1" } ]

2015-06-26

[ [ "Stefanski", "B.", "" ], [ "jr", "", "" ] ]

The complete D-brane spectrum in $\Zop_2$ orientifolds is computed. Stable non-BPS D-branes with both integral and torsion charges are found. The relation to K-theory is discussed and a new K-theory relevant to orientifolds is suggested.

13.696068

9.620062

14.436669

8.436141

8.43665

9.411608

9.143805

8.899093

8.172498

14.15189

8.347305

9.213018

11.781619

9.831791

9.915655

9.779431

9.959543

9.940459

10.064692

12.527974

9.46986

2106.14580

Nam Nguyen

An effective theory for higher-dimensional black holes and applications to metastable antibranes

Ph.D. Thesis, Supervisor: Vasileios Niarchos, Durham Univesity, 2021, University link: http://etheses.dur.ac.uk/14040/; 143 pages

null

hep-th

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

Despite their consequential applications, metastable states of antibranes in warped throats are not yet fully understood. In this thesis, we provide new information on various aspects of these metastable antibranes through applications of the blackfold effective theory for higher-dimensional black holes. As concrete examples, we study the conjectured metastable state of polarised anti-D3 branes at the tip of the Klebanov-Strassler (KS) throat in type IIB supergravity and the analogous state of polarised anti-M2 branes at the tip of the Cvetic-Gibbons-Lu-Pope (CGLP) throat in eleven-dimensional supergravity. For anti-D3 branes in KS throat, we provide novel evidence for the existence of the metastable state exactly where no-go theorems are lifted. In the extremal limit, we recover directly in supergravity the metastable states originally discovered by Kachru, Pearson, and Verlinde (KPV). Away from extremality, we uncover a metastable wrapped black NS5 state. We observe that such metastability is lost when the wrapped NS5 is heated sufficiently that its horizon geometry resembles that of a black anti-D3. We study the classical stability of the KPV state under generic long-wavelength deformations. We observe that, with regards to considered perturbations and regime of parameters, the state is classically stable. A study of anti-M2 branes in CGLP throat reveals many similarities to that of the anti-D3 branes. We recover directly in supergravity the Klebanov-Pufu (KP) state at extremality, and our finite temperature results fit suggestively well with known, complementary no-go theorems. However, we discover an unexpected, exotic pattern of thermal transitions of the KP state different from that of the KPV. This thesis contains also a pedagogical introduction to the blackfold formalism, focusing on aspects immediately relevant to applications to metastable antibranes.

[ { "created": "Mon, 28 Jun 2021 11:23:10 GMT", "version": "v1" } ]

2021-06-29

[ [ "Nguyen", "Nam", "" ] ]

Despite their consequential applications, metastable states of antibranes in warped throats are not yet fully understood. In this thesis, we provide new information on various aspects of these metastable antibranes through applications of the blackfold effective theory for higher-dimensional black holes. As concrete examples, we study the conjectured metastable state of polarised anti-D3 branes at the tip of the Klebanov-Strassler (KS) throat in type IIB supergravity and the analogous state of polarised anti-M2 branes at the tip of the Cvetic-Gibbons-Lu-Pope (CGLP) throat in eleven-dimensional supergravity. For anti-D3 branes in KS throat, we provide novel evidence for the existence of the metastable state exactly where no-go theorems are lifted. In the extremal limit, we recover directly in supergravity the metastable states originally discovered by Kachru, Pearson, and Verlinde (KPV). Away from extremality, we uncover a metastable wrapped black NS5 state. We observe that such metastability is lost when the wrapped NS5 is heated sufficiently that its horizon geometry resembles that of a black anti-D3. We study the classical stability of the KPV state under generic long-wavelength deformations. We observe that, with regards to considered perturbations and regime of parameters, the state is classically stable. A study of anti-M2 branes in CGLP throat reveals many similarities to that of the anti-D3 branes. We recover directly in supergravity the Klebanov-Pufu (KP) state at extremality, and our finite temperature results fit suggestively well with known, complementary no-go theorems. However, we discover an unexpected, exotic pattern of thermal transitions of the KP state different from that of the KPV. This thesis contains also a pedagogical introduction to the blackfold formalism, focusing on aspects immediately relevant to applications to metastable antibranes.

7.546451

7.679189

8.292553

7.2394

7.537678

7.775504

7.399928

7.504734

7.412185

8.693039

7.302813

7.744427

7.743299

7.633968

7.667784

7.441117

7.646948

7.482428

7.556049

7.717645

7.558029

hep-th/0103052

Ichiro Oda

A New Mechanism for Trapping of Photon

7 pages, LaTex 2e, no figures

null

EDO-EP-38

hep-th

null

We propose a new mechanism for trapping bulk gauge field, giving rise to a massless photon on a flat Minkowski 3-brane in the Randall-Sundrum model in five space-time dimensions. The mechanism we propose employs the topological Higgs mechansim where a topological term and a 3-form gauge potential play an important role. This new mechanism might be considered as a gauge field's analog of the localization of bulk fermions with the mass term of a 'kink' profile.

[ { "created": "Wed, 7 Mar 2001 20:38:21 GMT", "version": "v1" } ]

2007-05-23

[ [ "Oda", "Ichiro", "" ] ]

We propose a new mechanism for trapping bulk gauge field, giving rise to a massless photon on a flat Minkowski 3-brane in the Randall-Sundrum model in five space-time dimensions. The mechanism we propose employs the topological Higgs mechansim where a topological term and a 3-form gauge potential play an important role. This new mechanism might be considered as a gauge field's analog of the localization of bulk fermions with the mass term of a 'kink' profile.

12.492582

11.103662

12.141753

9.955207

11.321904

10.924455

10.90679

10.508857

10.364547

11.203331

10.945325

11.636963

10.848803

11.284811

10.942094

11.003516

11.397244

11.132351

11.001729

11.187622

11.407531

1707.03431

Fidel I. Schaposnik Massolo

Tatsuo Azeyanagi (1), Frank Ferrari (1,2) and Fidel I. Schaposnik Massolo (2) ((1) U. L. Brussels (2) IBS-CTPU Seoul)

Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models

14 pages, 5 figures, minor changes in v2

Phys. Rev. Lett. 120, 061602 (2018)

10.1103/PhysRevLett.120.061602

null

hep-th cond-mat.str-el

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

We compute the phase diagram of a $\text{U}(N)^{2}\times\text{O}(D)$ invariant fermionic planar matrix quantum mechanics [equivalently tensor or complex Sachdev-Ye-Kitaev (SYK) models] in the new large $D$ limit, dominated by melonic graphs. The Schwinger-Dyson equations can have two solutions describing either a high entropy, SYK black-hole-like phase, or a low entropy one with trivial IR behavior. In the strongly coupled region of the mass-temperature plane, there is a line of first order phase transitions between the high and low entropy phases. This line terminates at a new critical point which we study numerically in detail. The critical exponents are nonmean field and differ on the two sides of the transition. We also study purely bosonic unstable and stable melonic models. The former has a line of Kazakov critical points beyond which the Schwinger-Dyson equations do not have a consistent solution. Moreover, in both models the would-be SYK-like solution of the IR limit of the equations does not exist in the full theory.

[ { "created": "Tue, 11 Jul 2017 18:52:08 GMT", "version": "v1" }, { "created": "Thu, 8 Feb 2018 06:27:27 GMT", "version": "v2" } ]

2018-02-14

[ [ "Azeyanagi", "Tatsuo", "", "U. L. Brussels" ], [ "Ferrari", "Frank", "", "U. L. Brussels", "IBS-CTPU Seoul" ], [ "Massolo", "Fidel I. Schaposnik", "", "IBS-CTPU Seoul" ] ]

We compute the phase diagram of a $\text{U}(N)^{2}\times\text{O}(D)$ invariant fermionic planar matrix quantum mechanics [equivalently tensor or complex Sachdev-Ye-Kitaev (SYK) models] in the new large $D$ limit, dominated by melonic graphs. The Schwinger-Dyson equations can have two solutions describing either a high entropy, SYK black-hole-like phase, or a low entropy one with trivial IR behavior. In the strongly coupled region of the mass-temperature plane, there is a line of first order phase transitions between the high and low entropy phases. This line terminates at a new critical point which we study numerically in detail. The critical exponents are nonmean field and differ on the two sides of the transition. We also study purely bosonic unstable and stable melonic models. The former has a line of Kazakov critical points beyond which the Schwinger-Dyson equations do not have a consistent solution. Moreover, in both models the would-be SYK-like solution of the IR limit of the equations does not exist in the full theory.

9.910657

10.358525

10.644194

9.272652

10.17358

9.787063

9.652504

9.464671

9.70072

10.720378

9.028584

9.49299

9.638741

9.243791

9.494729

9.371135

9.47519

9.619273

9.386398

9.687112

9.381666

1404.5052

Peter Minkowski

Mass Generation in QCD -- Oscillating Quarks and Gluons

58 pages, 11 figures, Conference: Workshop on Flavour, N T U, Singapore, 10.-14. February 2014

null

10.1142/S0217751X14440151

null

hep-th math.SP

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

The present lecture is devoted to embedding the approximate genuine harmonic oscillator structure of valence q qbar mesons and in more detail the q q q configurations for up,down,strange - flavored baryons in Q C D for three light flavors of quark.

[ { "created": "Sun, 20 Apr 2014 16:47:26 GMT", "version": "v1" } ]

2015-06-19

[ [ "Minkowski", "Peter", "" ] ]

The present lecture is devoted to embedding the approximate genuine harmonic oscillator structure of valence q qbar mesons and in more detail the q q q configurations for up,down,strange - flavored baryons in Q C D for three light flavors of quark.

65.255257

100.741646

57.404968

49.690689

61.276886

75.521439

59.410828

86.654121

45.875637

61.401394

64.999512

60.305908

58.394466

47.434856

55.073826

62.325428

51.041153

60.214561

48.638962

54.673103

59.117718

hep-th/9607216

Ingo Gaida

Ingo Gaida (Humboldt University Berlin)

The Hypermultiplet in N = 2 Superspace

12 pages, no figures, standard latex

null

HUB-EP-96-35

hep-th

null

Global N=2 supersymmetry in four dimensions with a Fayet-Sohnius hypermultiplet and a complex central charge is studied in N = 2 superspace. It is shown how to construct the complete expansion of the hypermultiplet with respect to the central charge. In addition the low-energy effective action is discussed and it is shown that the `kernel' of the Lagrangian only needs an integration over a `small' superspace to construct a supersymmetric action.

[ { "created": "Mon, 29 Jul 1996 08:54:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gaida", "Ingo", "", "Humboldt University Berlin" ] ]

Global N=2 supersymmetry in four dimensions with a Fayet-Sohnius hypermultiplet and a complex central charge is studied in N = 2 superspace. It is shown how to construct the complete expansion of the hypermultiplet with respect to the central charge. In addition the low-energy effective action is discussed and it is shown that the `kernel' of the Lagrangian only needs an integration over a `small' superspace to construct a supersymmetric action.

13.012508

10.925059

14.066613

10.212084

10.307037

10.846945

10.524292

10.717068

10.538175

13.179561

9.53246

10.582125

11.552373

10.494067

10.595153

10.148156

10.818476

10.126186

10.690737

11.472293

10.266237

hep-th/0002150

Alok Kumar

Non-Planar String Networks on Tori

11 pages, latex, one figure, very minor English corrections

JHEP 0003 (2000) 010

10.1088/1126-6708/2000/03/010

CERN-TH/2000-059

hep-th

null

Type II strings in D=5 contain particle-like 1/8 supersymmetric BPS states. In this note we give a string-network representation of such states by considering (periodic) non-planar $(p,q,r)$-string networks of eight dimensional type II string theory on $T^3$. We obtain the BPS mass formula of such states, in terms of charges and generating-vectors of the torus, and show its invariance under an $SL(3, Z)\times SL(3, Z)$ group of transformations. Results are then generalized to string-networks associated with the $SL(5, Z)$ $U$-duality in seven dimensions. We also discuss reinterpretation of the above $(D=5)$ mass formula in terms of BPS states in world-volume theories of $U2$-branes in D=8.

[ { "created": "Fri, 18 Feb 2000 10:53:15 GMT", "version": "v1" }, { "created": "Sun, 20 Feb 2000 08:37:26 GMT", "version": "v2" }, { "created": "Tue, 29 Feb 2000 15:57:40 GMT", "version": "v3" }, { "created": "Wed, 1 Mar 2000 09:57:50 GMT", "version": "v4" } ]

2009-10-31

[ [ "Kumar", "Alok", "" ] ]

Type II strings in D=5 contain particle-like 1/8 supersymmetric BPS states. In this note we give a string-network representation of such states by considering (periodic) non-planar $(p,q,r)$-string networks of eight dimensional type II string theory on $T^3$. We obtain the BPS mass formula of such states, in terms of charges and generating-vectors of the torus, and show its invariance under an $SL(3, Z)\times SL(3, Z)$ group of transformations. Results are then generalized to string-networks associated with the $SL(5, Z)$ $U$-duality in seven dimensions. We also discuss reinterpretation of the above $(D=5)$ mass formula in terms of BPS states in world-volume theories of $U2$-branes in D=8.

11.142149

11.138425

12.773416

10.819753

10.571233

10.526099

10.655249

10.190843

10.581165

12.291214

10.825001

10.599339

11.10976

10.173104

10.475139

10.515484

10.550076

10.445733

10.238505

10.943772

10.553932

1910.13929

Daniel Logares

Carlos Hoyos, Niko Jokela and Daniel Logares

Scattering length from holographic duality

17 pages, 4 figures

Phys. Rev. D 101, 046028 (2020)

10.1103/PhysRevD.101.046028

HIP-2019-35/TH

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

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

Interesting theories with short range interactions include QCD in the hadronic phase and cold atom systems. The scattering length in two-to-two elastic scattering process captures the most elementary features of the interactions, such as whether they are attractive or repulsive. However, even this basic quantity is notoriously difficult to compute from first principles in strongly coupled theories. We present a method to compute the two-to-two amplitudes and the scattering length using the holographic duality. Our method is based on the identification of the residues of Green's functions in the gravity dual with the amplitudes in the field theory. To illustrate the method we compute a contribution to the scattering length in a hard wall model with a quartic potential and find a constraint on the scaling dimension of a scalar operator $\Delta > d/4$. For $d< 4$ this is more stringent than the unitarity constraint and may be applicable to an extended family of large-$N$ theories with a discrete spectrum of massive states. We also argue that for scalar potentials with polynomial terms of order $K$, a constraint more restrictive than the unitarity bound will appear for $d<2K/(K-2)$.

[ { "created": "Wed, 30 Oct 2019 15:29:55 GMT", "version": "v1" } ]

2020-03-04

[ [ "Hoyos", "Carlos", "" ], [ "Jokela", "Niko", "" ], [ "Logares", "Daniel", "" ] ]

Interesting theories with short range interactions include QCD in the hadronic phase and cold atom systems. The scattering length in two-to-two elastic scattering process captures the most elementary features of the interactions, such as whether they are attractive or repulsive. However, even this basic quantity is notoriously difficult to compute from first principles in strongly coupled theories. We present a method to compute the two-to-two amplitudes and the scattering length using the holographic duality. Our method is based on the identification of the residues of Green's functions in the gravity dual with the amplitudes in the field theory. To illustrate the method we compute a contribution to the scattering length in a hard wall model with a quartic potential and find a constraint on the scaling dimension of a scalar operator $\Delta > d/4$. For $d< 4$ this is more stringent than the unitarity constraint and may be applicable to an extended family of large-$N$ theories with a discrete spectrum of massive states. We also argue that for scalar potentials with polynomial terms of order $K$, a constraint more restrictive than the unitarity bound will appear for $d<2K/(K-2)$.

9.182508

9.38066

9.737144

8.621318

9.348819

9.872048

8.64415

8.640697

8.363294

9.665051

8.875273

8.660158

9.015116

8.47063

8.532552

8.815139

8.33067

8.527272

8.389718

8.706872

8.686322

2407.17350

Jiahao Zheng

Jiaqun Jiang, Satoshi Nawata, Jiahao Zheng

2d dualities from 4d

21 pages, 8 Figures, 1 Table

null

hep-th

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

We find new $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ dualities through the twisted compactifications of 4d supersymmetric theories on $S^2$. Our findings include dualities for both $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ non-Abelian gauge theories, as well as $\mathcal{N}=(0,2)$ Gauge/Landau-Ginzburg duality.

[ { "created": "Wed, 24 Jul 2024 15:19:29 GMT", "version": "v1" } ]

2024-07-25

[ [ "Jiang", "Jiaqun", "" ], [ "Nawata", "Satoshi", "" ], [ "Zheng", "Jiahao", "" ] ]

We find new $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ dualities through the twisted compactifications of 4d supersymmetric theories on $S^2$. Our findings include dualities for both $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ non-Abelian gauge theories, as well as $\mathcal{N}=(0,2)$ Gauge/Landau-Ginzburg duality.

3.670462

3.239791

3.732708

3.149094

3.19483

3.369559

3.262716

3.080161

3.137828

3.760123

3.148016

3.278026

3.761714

3.30431

3.339849

3.407023

3.263864

3.313701

3.369417

3.667189

3.280427

hep-th/0608001

Barak Kol

The Power of Action: "The" Derivation of the Black Hole Negative Mode

16 pages, 1 figure. v2: Published version including an expanded introduction and minor changes. The title of the published version was changed due to an editorial request to "Gauge-eliminated derivation of the black hole negative mode"

Phys.Rev.D77:044039,2008

10.1103/PhysRevD.77.044039

null

hep-th gr-qc

null

The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory-Laflamme black string instability. Numerous gauges were employed in the past to analyze it. Here _the_ analytic derivation is found, based on postponing the gauge fixing, on the power of the action and on decoupling of non-dynamic fields. A broad-range generalization to perturbations around arbitrary co-homogeneity 1 geometries is discussed.

[ { "created": "Tue, 1 Aug 2006 11:49:09 GMT", "version": "v1" }, { "created": "Sun, 2 Mar 2008 06:46:34 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kol", "Barak", "" ] ]

The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory-Laflamme black string instability. Numerous gauges were employed in the past to analyze it. Here _the_ analytic derivation is found, based on postponing the gauge fixing, on the power of the action and on decoupling of non-dynamic fields. A broad-range generalization to perturbations around arbitrary co-homogeneity 1 geometries is discussed.

23.373468

20.003902

22.945175

18.669619

18.703972

18.852514

18.314816

17.659307

19.477831

23.923145

19.089153

20.907743

20.585171

20.870625

22.0123

20.715305

20.770626

19.96287

20.863979

21.939068

21.225033

0908.1016

Frederic P. Schuller

Frederic P. Schuller, Christof Witte, Mattias N.R. Wohlfarth

Causal structure and algebraic classification of area metric spacetimes in four dimensions

47 pages, 2 figures

Annals Phys.325:1853-1883,2010

10.1016/j.aop.2010.04.008

null

hep-th

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

Area metric manifolds emerge as a refinement of symplectic and metric geometry in four dimensions, where in numerous situations of physical interest they feature as effective matter backgrounds. In this article, this prompts us to identify those area metric manifolds that qualify as viable spacetime backgrounds in the first place, in so far as they support causally propagating matter. This includes an identification of the timelike future cones and their duals associated to an area metric geometry, and thus paves the ground for a discussion of the related local and global causal structure in standard fashion. In order to provide simple algebraic criteria for an area metric manifold to present a consistent spacetime structure, we develop a complete algebraic classification of area metric tensors up to general transformations of frame. Remarkably, a suitable coarsening of this classification allows to prove a theorem excluding the majority of algebraic classes of area metrics as viable spacetimes.

[ { "created": "Fri, 7 Aug 2009 10:19:35 GMT", "version": "v1" } ]

2011-03-28

[ [ "Schuller", "Frederic P.", "" ], [ "Witte", "Christof", "" ], [ "Wohlfarth", "Mattias N. R.", "" ] ]

Area metric manifolds emerge as a refinement of symplectic and metric geometry in four dimensions, where in numerous situations of physical interest they feature as effective matter backgrounds. In this article, this prompts us to identify those area metric manifolds that qualify as viable spacetime backgrounds in the first place, in so far as they support causally propagating matter. This includes an identification of the timelike future cones and their duals associated to an area metric geometry, and thus paves the ground for a discussion of the related local and global causal structure in standard fashion. In order to provide simple algebraic criteria for an area metric manifold to present a consistent spacetime structure, we develop a complete algebraic classification of area metric tensors up to general transformations of frame. Remarkably, a suitable coarsening of this classification allows to prove a theorem excluding the majority of algebraic classes of area metrics as viable spacetimes.

15.803844

16.673119

15.83841

13.982566

16.291059

17.000719

17.146933

15.782122

15.378241

15.688257

15.203025

14.739307

14.606778

14.379097

14.605883

14.960292

15.052421

14.312098

14.959134

14.99113

14.784385

hep-th/9511181

Jayme Vaz Jr.

J. Vaz, Jr. and W. A. Rodrigues, Jr.

Maxwell and Dirac theories as an already unified theory

REVTeX, 15 pages, talk given at the International Conference on the Theory of the Electron, Sept.95, Mexico City. To appear in the proceedings

null

RP IMECC-UNICAMP 45/95

hep-th

null

In this paper we formulate Maxwell and Dirac theories as an already unified theory (in the sense of Misner and Wheeler). We introduce Dirac spinors as "Dirac square root" of the Faraday bivector, and use this in order to find a spinorial representation of Maxwell equations. Then we show that under certain circunstances this spinor equation reduces to an equation formally identical to Dirac equation. Finally we discuss certain conditions under which this equation can be really interpreted as Dirac equation, and some other possible interpretations of this result.

[ { "created": "Sat, 25 Nov 1995 19:49:23 GMT", "version": "v1" } ]

2012-08-27

[ [ "Vaz,", "J.", "Jr." ], [ "Rodrigues,", "W. A.", "Jr." ] ]

In this paper we formulate Maxwell and Dirac theories as an already unified theory (in the sense of Misner and Wheeler). We introduce Dirac spinors as "Dirac square root" of the Faraday bivector, and use this in order to find a spinorial representation of Maxwell equations. Then we show that under certain circunstances this spinor equation reduces to an equation formally identical to Dirac equation. Finally we discuss certain conditions under which this equation can be really interpreted as Dirac equation, and some other possible interpretations of this result.

10.554043

11.399056

10.805508

10.342287

10.741995

10.484982

11.394529

11.015681

10.444538

10.905759

10.676936

10.377108

9.941962

9.913513

10.513947

10.25989

10.656253

9.96342

10.196513

10.002964

9.949395

1510.06461

Rudnei O. Ramos

J. F. de Medeiros Neto, Rudnei O. Ramos, Carlos Rafael M. Santos, Rodrigo F. Ozela, Gabriel C. Magalh\~aes and Van S\'ergio Alves

Suppressing vacuum fluctuations with vortex excitations

20 pages, 1 eps figure

Phys. Rev. D 92, 105021 (2015)

10.1103/PhysRevD.92.105021

null

hep-th cond-mat.other hep-ph

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

The Casimir force for a planar gauge model is studied considering perfect conducting and perfect magnetically permeable boundaries. By using an effective model describing planar vortex excitations, we determine the effect these can have on the Casimir force between parallel lines. Two different mappings between models are considered for the system under study, where generic boundary conditions can be more easily applied and the Casimir force be derived in a more straightforward way. It is shown that vortex excitations can be an efficient suppressor of vacuum fluctuations. In particular, for the model studied here, a planar Chern-Simons type of model that allows for the presence of vortex matter, the Casimir force is found to be independent of the choice of boundary conditions, at least for the more common types, like Neumann, perfect conducting and magnetically permeable boundary conditions. We give an interpretation for these results and some possible applications for them are also discussed.

[ { "created": "Thu, 22 Oct 2015 00:19:44 GMT", "version": "v1" } ]

2015-11-11

[ [ "Neto", "J. F. de Medeiros", "" ], [ "Ramos", "Rudnei O.", "" ], [ "Santos", "Carlos Rafael M.", "" ], [ "Ozela", "Rodrigo F.", "" ], [ "Magalhães", "Gabriel C.", "" ], [ "Alves", "Van Sérgio", "" ] ]

The Casimir force for a planar gauge model is studied considering perfect conducting and perfect magnetically permeable boundaries. By using an effective model describing planar vortex excitations, we determine the effect these can have on the Casimir force between parallel lines. Two different mappings between models are considered for the system under study, where generic boundary conditions can be more easily applied and the Casimir force be derived in a more straightforward way. It is shown that vortex excitations can be an efficient suppressor of vacuum fluctuations. In particular, for the model studied here, a planar Chern-Simons type of model that allows for the presence of vortex matter, the Casimir force is found to be independent of the choice of boundary conditions, at least for the more common types, like Neumann, perfect conducting and magnetically permeable boundary conditions. We give an interpretation for these results and some possible applications for them are also discussed.

13.176911

12.811635

13.979212

12.547067

12.594542

12.498541

13.470888

12.002284

11.643132

13.727034

12.361637

12.08093

12.669293

12.547928

12.352569

12.493681

12.752851

12.502499

12.336364

12.675532

12.631686

1012.4462

Kurt Hinterbichler

Kurt Hinterbichler, Justin Khoury and Horatiu Nastase

Towards a UV Completion for Chameleon Scalar Theories

28 pages, 2 figures. v3 parameter values corrected

JHEP 1103:061,2011; Erratum-ibid.1106:072,2011

10.1007/JHEP03(2011)061 10.1007/JHEP06(2011)072

null

hep-th astro-ph.CO

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

Chameleons are scalar fields that couple directly to ordinary matter with gravitational strength, but which nevertheless evade the stringent constraints on tests of gravity because of properties they acquire in the presence of high ambient matter density. Chameleon theories were originally constructed in a bottom-up, phenomenological fashion, with potentials and matter couplings designed to hide the scalar from experiments. In this paper, we attempt to embed the chameleon scenario within string compactifications, thus UV completing the scenario. We look for stabilized potentials that can realize a screening mechanism, and we find that the volume modulus rather generically works as a chameleon, and in fact the supersymmetric potential used by Kachru, Kallosh, Linde and Trivedi (KKLT) is an example of this type. We consider all constraints from tests of gravity, allowing us to put experimental constraints on the KKLT parameters.

[ { "created": "Mon, 20 Dec 2010 21:00:00 GMT", "version": "v1" }, { "created": "Tue, 29 Mar 2011 21:12:16 GMT", "version": "v2" }, { "created": "Wed, 1 Jun 2011 02:58:06 GMT", "version": "v3" } ]

2011-07-13

[ [ "Hinterbichler", "Kurt", "" ], [ "Khoury", "Justin", "" ], [ "Nastase", "Horatiu", "" ] ]

Chameleons are scalar fields that couple directly to ordinary matter with gravitational strength, but which nevertheless evade the stringent constraints on tests of gravity because of properties they acquire in the presence of high ambient matter density. Chameleon theories were originally constructed in a bottom-up, phenomenological fashion, with potentials and matter couplings designed to hide the scalar from experiments. In this paper, we attempt to embed the chameleon scenario within string compactifications, thus UV completing the scenario. We look for stabilized potentials that can realize a screening mechanism, and we find that the volume modulus rather generically works as a chameleon, and in fact the supersymmetric potential used by Kachru, Kallosh, Linde and Trivedi (KKLT) is an example of this type. We consider all constraints from tests of gravity, allowing us to put experimental constraints on the KKLT parameters.

12.249765

10.655862

10.956661

9.996632

11.031241

11.4433

10.924216

10.733636

9.477485

10.803518

9.431685

9.898639

10.065898

9.918434

10.049259

9.913257

10.244012

9.704757

9.938428

9.836597

10.230212

hep-th/9507159

Juergen Berges

J. Berges, N. Tetradis and C. Wetterich

Critical equation of state from the average action

Latex, 8 pages, 2 uuencoded figures

Phys.Rev.Lett. 77 (1996) 873-876

10.1103/PhysRevLett.77.873

HD-THEP-95-27, OUTP 95-27 P

hep-th cond-mat

null

The scaling form of the critical equation of state is computed for $O(N)$-symmetric models. We employ a method based on an exact flow equation for a coarse grained free energy. A suitable truncation is solved numerically.

[ { "created": "Fri, 28 Jul 1995 08:17:12 GMT", "version": "v1" } ]

2009-10-28

[ [ "Berges", "J.", "" ], [ "Tetradis", "N.", "" ], [ "Wetterich", "C.", "" ] ]

The scaling form of the critical equation of state is computed for $O(N)$-symmetric models. We employ a method based on an exact flow equation for a coarse grained free energy. A suitable truncation is solved numerically.

11.071878

7.862064

8.493255

7.430558

8.112251

7.673316

7.454156

8.083619

7.308214

8.472031

9.187521

9.154037

9.33685

8.760371

8.819149

9.083869

8.771435

9.447014

9.211125

9.175996

9.138855

hep-th/9508177

Paul Townsend

J.M. Izquierdo, N.D. Lambert, G. Papadopoulos and P.K. Townsend

Dyonic Membranes

Phyzzx. 27 pp. Additional para. added to introduction

Nucl.Phys.B460:560-578,1996

10.1016/0550-3213(95)00606-0

R/95/40

hep-th

null

We present dyonic multi-membrane solutions of the N=2 D=8 supergravity theory that serves as the effective field theory of the $T^2$-compactified type II superstring theory. The `electric' charge is fractional for generic asymptotic values of an axion field, as for D=4 dyons. These membrane solutions are supersymmetric, saturate a Bogomolnyi bound, fill out orbits of an $Sl(2;\Z)$ subgroup of the type II D=8 T-duality group, and are non-singular when considered as solutions of $T^3$-compactified D=11 supergravity. On $K_3$ compactification to D=4, the conjectured type II/heterotic equivalence allows the $Sl(2;\Z)$ group to be reinterpreted as the S-duality group of the toroidally compactified heterotic string and the dyonic membranes wrapped around homology two-cycles of $K_3$ as S-duals of perturbative heterotic string states.

[ { "created": "Thu, 31 Aug 1995 15:57:21 GMT", "version": "v1" }, { "created": "Fri, 27 Oct 1995 17:51:17 GMT", "version": "v2" }, { "created": "Mon, 20 Nov 1995 17:34:55 GMT", "version": "v3" } ]

2009-10-09

[ [ "Izquierdo", "J. M.", "" ], [ "Lambert", "N. D.", "" ], [ "Papadopoulos", "G.", "" ], [ "Townsend", "P. K.", "" ] ]

We present dyonic multi-membrane solutions of the N=2 D=8 supergravity theory that serves as the effective field theory of the $T^2$-compactified type II superstring theory. The `electric' charge is fractional for generic asymptotic values of an axion field, as for D=4 dyons. These membrane solutions are supersymmetric, saturate a Bogomolnyi bound, fill out orbits of an $Sl(2;\Z)$ subgroup of the type II D=8 T-duality group, and are non-singular when considered as solutions of $T^3$-compactified D=11 supergravity. On $K_3$ compactification to D=4, the conjectured type II/heterotic equivalence allows the $Sl(2;\Z)$ group to be reinterpreted as the S-duality group of the toroidally compactified heterotic string and the dyonic membranes wrapped around homology two-cycles of $K_3$ as S-duals of perturbative heterotic string states.

6.828202

6.592909

7.326193

6.456956

6.821077

6.992366

6.845369

6.667181

6.539869

7.876924

6.727117

6.695502

6.831212

6.788801

6.664593

6.873507

6.697344

6.671516

6.603857

7.01836

6.608255

hep-th/9411054

Alexios Polychronakos

Alexios P. Polychronakos

Waves and Solitons in the Continuum Limit of the Calogero-Sutherland Model

Version to appear in Physical Rerview Letters; contains some new results and explanations

Phys.Rev.Lett. 74 (1995) 5153-5157

10.1103/PhysRevLett.74.5153

CERN-TH.7496/94

hep-th cond-mat

null

We examine a collection of particles interacting with inverse-square two-body potentials in the thermodynamic limit. We find explicit large-amplitude density waves and soliton solutions for the motion of the system. Waves can be constructed as coherent states of either solitons or phonons. Therefore, either solitons or phonons can be considered as the fundamental excitations. The generic wave is shown to correspond to a two-band state in the quantum description of the system, while the limiting cases of solitons and phonons correspond to particle and hole excitations.

[ { "created": "Tue, 8 Nov 1994 13:39:34 GMT", "version": "v1" }, { "created": "Tue, 13 Dec 1994 14:04:29 GMT", "version": "v2" }, { "created": "Wed, 14 Dec 1994 10:31:10 GMT", "version": "v3" }, { "created": "Wed, 3 May 1995 16:12:40 GMT", "version": "v4" } ]

2009-10-28

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

We examine a collection of particles interacting with inverse-square two-body potentials in the thermodynamic limit. We find explicit large-amplitude density waves and soliton solutions for the motion of the system. Waves can be constructed as coherent states of either solitons or phonons. Therefore, either solitons or phonons can be considered as the fundamental excitations. The generic wave is shown to correspond to a two-band state in the quantum description of the system, while the limiting cases of solitons and phonons correspond to particle and hole excitations.

10.672843

10.960881

11.216593

10.695827

10.015565

9.816825

11.25483

10.658057

10.78567

11.941291

10.532568

10.619702

11.234506

10.430164

10.574762

10.652801

10.46234

10.638992

10.960831

11.368159

10.271591

1606.07870

Dumitru Astefanesei

Andres Anabalon, Dumitru Astefanesei, and David Choque

Hairy AdS Solitons

12 pages, no figures; v2: small changes and fixed typos

null

10.1016/j.physletb.2016.08.049

null

hep-th gr-qc

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

We construct exact hairy AdS soliton solutions in Einstein-dilaton gravity theory. We examine their thermodynamic properties and discuss the role of these solutions for the existence of first order phase transitions for hairy black holes. The negative energy density associated to hairy AdS solitons can be interpreted as the Casimir energy that is generated in the dual filed theory when the fermions are antiperiodic on the compact coordinate.

[ { "created": "Sat, 25 Jun 2016 05:07:02 GMT", "version": "v1" }, { "created": "Mon, 4 Jul 2016 18:28:59 GMT", "version": "v2" } ]

2016-08-31

[ [ "Anabalon", "Andres", "" ], [ "Astefanesei", "Dumitru", "" ], [ "Choque", "David", "" ] ]

We construct exact hairy AdS soliton solutions in Einstein-dilaton gravity theory. We examine their thermodynamic properties and discuss the role of these solutions for the existence of first order phase transitions for hairy black holes. The negative energy density associated to hairy AdS solitons can be interpreted as the Casimir energy that is generated in the dual filed theory when the fermions are antiperiodic on the compact coordinate.

7.9063

7.945901

9.089727

7.50592

7.626104

7.330344

7.7569

7.520334

7.366545

8.674952

7.966262

7.622589

7.267564

7.500033

7.54306

7.596043

7.596103

7.453146

7.203705

7.671971

7.209469

hep-th/0407234

Ewald Roessl

A. Gruppuso, E. Roessl and M. Shaposhnikov

Einstein static universe as a brane in extra dimensions

45 pages, 3 figures

JHEP 0408 (2004) 011

10.1088/1126-6708/2004/08/011

null

hep-th

null

We present a brane-world scenario in which two regions of $AdS_5$ space-time are glued together along a 3-brane with constant positive curvature such that {\em all} spatial dimensions form a compact manifold of topology $S^4$. It turns out that the induced geometry on the brane is given by Einstein's static universe. It is possible to achieve an anisotropy of the manifold which allows for a huge hierarchy between the size of the extra dimension $R$ and the size of the observable universe $R_U$ at present. This anisotropy is also at the origin of a very peculiar property of our model: the physical distance between {\em any two points} on the brane is of the order of the size of the extra dimension $R$ regardless of their distance measured with the use of the induced metric on the brane. In an intermediate distance regime $R \ll r \ll R_U$ gravity on the brane is shown to be effectively 4-dimensional, with corresponding large distance corrections, in complete analogy with the Randall-Sundrum II model. For very large distances $r \sim R_U$ we recover gravity in Einstein's static universe. However, in contrast to the Randall-Sundrum II model the difference in topology has the advantage of giving rise to a geodesically complete space.

[ { "created": "Tue, 27 Jul 2004 13:58:53 GMT", "version": "v1" } ]

2009-11-10

[ [ "Gruppuso", "A.", "" ], [ "Roessl", "E.", "" ], [ "Shaposhnikov", "M.", "" ] ]

We present a brane-world scenario in which two regions of $AdS_5$ space-time are glued together along a 3-brane with constant positive curvature such that {\em all} spatial dimensions form a compact manifold of topology $S^4$. It turns out that the induced geometry on the brane is given by Einstein's static universe. It is possible to achieve an anisotropy of the manifold which allows for a huge hierarchy between the size of the extra dimension $R$ and the size of the observable universe $R_U$ at present. This anisotropy is also at the origin of a very peculiar property of our model: the physical distance between {\em any two points} on the brane is of the order of the size of the extra dimension $R$ regardless of their distance measured with the use of the induced metric on the brane. In an intermediate distance regime $R \ll r \ll R_U$ gravity on the brane is shown to be effectively 4-dimensional, with corresponding large distance corrections, in complete analogy with the Randall-Sundrum II model. For very large distances $r \sim R_U$ we recover gravity in Einstein's static universe. However, in contrast to the Randall-Sundrum II model the difference in topology has the advantage of giving rise to a geodesically complete space.

6.219418

6.605296

6.410245

5.922379

6.744984

6.577973

6.573849

6.456426

6.177508

6.428636

6.126721

6.17084

6.240256

6.069338

6.11138

6.186747

6.247644

6.095159

6.204008

6.107161

6.098608

1811.07438

Nabil Iqbal

Samuel E. Gralla, Nabil Iqbal

Effective Field Theory of Force-Free Electrodynamics

15 pages; v2: some conventions changed, typos corrected

Phys. Rev. D 99, 105004 (2019)

10.1103/PhysRevD.99.105004

null

hep-th astro-ph.HE gr-qc

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

Force-free electrodynamics (FFE) is a closed set of equations for the electromagnetic field of a magnetically dominated plasma. There are strong arguments for the existence of force-free plasmas near pulsars and active black holes, but FFE alone cannot account for the observational signatures, such as coherent radio emission and relativistic jets and winds. We reformulate FFE as the effective field theory of a cold string fluid and initiate a systematic study of corrections in a derivative expansion. At leading order the effective theory is equivalent to (generalized) FFE, with the strings comprised by magnetic field line worldsheets. Higher-order corrections generically give rise to non-zero accelerating electric fields ($\mathbf{E}\cdot \mathbf{B}\neq 0$). We discuss potential observable consequences and comment on an intriguing numerical coincidence.

[ { "created": "Mon, 19 Nov 2018 00:38:00 GMT", "version": "v1" }, { "created": "Wed, 20 Feb 2019 21:38:25 GMT", "version": "v2" } ]

2019-05-22

[ [ "Gralla", "Samuel E.", "" ], [ "Iqbal", "Nabil", "" ] ]

Force-free electrodynamics (FFE) is a closed set of equations for the electromagnetic field of a magnetically dominated plasma. There are strong arguments for the existence of force-free plasmas near pulsars and active black holes, but FFE alone cannot account for the observational signatures, such as coherent radio emission and relativistic jets and winds. We reformulate FFE as the effective field theory of a cold string fluid and initiate a systematic study of corrections in a derivative expansion. At leading order the effective theory is equivalent to (generalized) FFE, with the strings comprised by magnetic field line worldsheets. Higher-order corrections generically give rise to non-zero accelerating electric fields ($\mathbf{E}\cdot \mathbf{B}\neq 0$). We discuss potential observable consequences and comment on an intriguing numerical coincidence.

9.232578

9.087789

8.236076

8.000919

8.438471

8.565685

9.361361

8.322724

8.461752

9.579844

8.76577

8.042518

7.924798

7.970495

7.914341

8.010697

8.343892

8.136436

7.891215

8.354927

8.258045

hep-th/0411057

Francesco Benini

Francesco Benini (Pisa, Scuola Normale Superiore & SISSA, Trieste)

The Coulomb branch of the Leigh-Strassler deformation and matrix models

19 pages, 2 figures, latex

JHEP0412:068,2004

10.1088/1126-6708/2004/12/068

null

hep-th

null

The Dijkgraaf-Vafa approach is used in order to study the Coulomb branch of the Leigh-Strassler massive deformation of N=4 SYM with gauge group U(N). The theory has N=1 SUSY and an N-dimensional Coulomb branch of vacua, which can be described by a family of ``generalized'' Seiberg-Witten curves. The matrix model analysis is performed by adding a tree level potential that selects particular vacua. The family of curves is found: it consists of order N branched coverings of a base torus, and it is described by multi-valued functions on the latter. The relation between the potential and the vacuum is made explicit. The gauge group SU(N) is also considered. Finally the resolvents from which expectation values of chiral operators can be extracted are presented.

[ { "created": "Thu, 4 Nov 2004 18:27:35 GMT", "version": "v1" } ]

2008-11-26

[ [ "Benini", "Francesco", "", "Pisa, Scuola Normale Superiore & SISSA, Trieste" ] ]

The Dijkgraaf-Vafa approach is used in order to study the Coulomb branch of the Leigh-Strassler massive deformation of N=4 SYM with gauge group U(N). The theory has N=1 SUSY and an N-dimensional Coulomb branch of vacua, which can be described by a family of ``generalized'' Seiberg-Witten curves. The matrix model analysis is performed by adding a tree level potential that selects particular vacua. The family of curves is found: it consists of order N branched coverings of a base torus, and it is described by multi-valued functions on the latter. The relation between the potential and the vacuum is made explicit. The gauge group SU(N) is also considered. Finally the resolvents from which expectation values of chiral operators can be extracted are presented.

8.882972

8.09455

9.900168

8.10685

8.128372

8.438328

8.606917

8.144056

8.193455

10.665703

8.035132

8.076534

8.256754

8.041841

8.145994

7.926589

8.076527

7.940717

8.255973

8.283548

8.00483

1211.3867

Mariana Grana

Mariana Gra\~na and Hagen Triendl

Generalized N=1 and N=2 structures in M-theory and type II orientifolds

29 pages

JHEP 1303 (2013) 145

10.1007/JHEP03(2013)145

IPhT-t12/099

hep-th

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

We consider M-theory and type IIA reductions to four dimensions with N=2 and N=1 supersymmetry and discuss their interconnection. Our work is based on the framework of Exceptional Generalized Geometry (EGG), which extends the tangent bundle to include all symmetries in M-theory and type II string theory, covariantizing the local U-duality group E7. We describe general N=1 and N=2 reductions in terms of SU(7) and SU(6) structures on this bundle and thereby derive the effective four-dimensional N=1 and N=2 couplings, in particular we compute the Kahler and hyper-Kahler potentials as well as the triplet of Killing prepotentials (or the superpotential in the N=1 case). These structures and couplings can be described in terms of forms on an eight-dimensional tangent space where SL(8) contained in E7 acts, which might indicate a description in terms of an eight-dimensional internal space, similar to F-theory. We finally discuss an orbifold action in M-theory and its reduction to O6 orientifolds, and show how the projection on the N=2 structures selects the N=1 ones. We briefly comment on new orientifold projections, U-dual to the standard ones.

[ { "created": "Fri, 16 Nov 2012 11:58:46 GMT", "version": "v1" } ]

2015-06-12

[ [ "Graña", "Mariana", "" ], [ "Triendl", "Hagen", "" ] ]

We consider M-theory and type IIA reductions to four dimensions with N=2 and N=1 supersymmetry and discuss their interconnection. Our work is based on the framework of Exceptional Generalized Geometry (EGG), which extends the tangent bundle to include all symmetries in M-theory and type II string theory, covariantizing the local U-duality group E7. We describe general N=1 and N=2 reductions in terms of SU(7) and SU(6) structures on this bundle and thereby derive the effective four-dimensional N=1 and N=2 couplings, in particular we compute the Kahler and hyper-Kahler potentials as well as the triplet of Killing prepotentials (or the superpotential in the N=1 case). These structures and couplings can be described in terms of forms on an eight-dimensional tangent space where SL(8) contained in E7 acts, which might indicate a description in terms of an eight-dimensional internal space, similar to F-theory. We finally discuss an orbifold action in M-theory and its reduction to O6 orientifolds, and show how the projection on the N=2 structures selects the N=1 ones. We briefly comment on new orientifold projections, U-dual to the standard ones.

8.935139

8.987413

9.76983

8.403811

9.078593

8.862

8.549394

8.281123

8.09838

10.746268

8.083543

8.433879

8.95508

8.467758

8.59371

8.582762

8.335223

8.585111

8.671767

8.958584

8.495589

1310.1839

Yasha Neiman

Action and entanglement in gravity and field theory

4 pages, 2 figures

Phys. Rev. Lett. 111, 261302 (2013)

10.1103/PhysRevLett.111.261302

IGC-13/10-3

hep-th gr-qc

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

In non-gravitational quantum field theory, the entanglement entropy across a surface depends on the short-distance regularization. Quantum gravity should not require such regularization, and it's been conjectured that the entanglement entropy there is always given by the black hole entropy formula evaluated on the entangling surface. We show that these statements have precise classical counterparts at the level of the action. Specifically, we point out that the action can have a non-additive imaginary part. In gravity, the latter is fixed by the black hole entropy formula, while in non-gravitating theories, it is arbitrary. From these classical facts, the entanglement entropy conjecture follows by heuristically applying the relation between actions and wavefunctions.

[ { "created": "Mon, 7 Oct 2013 15:59:44 GMT", "version": "v1" } ]

2014-01-01

[ [ "Neiman", "Yasha", "" ] ]

In non-gravitational quantum field theory, the entanglement entropy across a surface depends on the short-distance regularization. Quantum gravity should not require such regularization, and it's been conjectured that the entanglement entropy there is always given by the black hole entropy formula evaluated on the entangling surface. We show that these statements have precise classical counterparts at the level of the action. Specifically, we point out that the action can have a non-additive imaginary part. In gravity, the latter is fixed by the black hole entropy formula, while in non-gravitating theories, it is arbitrary. From these classical facts, the entanglement entropy conjecture follows by heuristically applying the relation between actions and wavefunctions.

9.552912

9.794766

9.585203

8.890133

10.317663

10.048679

9.338542

9.169507

8.74252

9.883567

8.742936

8.606292

9.048185

8.503795

8.596173

8.654504

8.801622

8.750585

9.034475

9.186507

8.666502

2401.09399

R Loll

J. Ambj{\o}rn, R. Loll

Causal Dynamical Triangulations: Gateway to Nonperturbative Quantum Gravity

27 pages, 7 figures, invited contribution to Encyclopedia of Mathematical Physics 2nd Edition

null

hep-th gr-qc hep-lat

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

A powerful strategy to treat quantum field theories beyond perturbation theory is by putting them on a lattice. However, the dynamical and symmetry structure of general relativity have for a long time stood in the way of a well-defined lattice formulation of quantum gravity. These issues are resolved by using Causal Dynamical Triangulations (CDT) to implement a nonperturbative, background-independent path integral for Lorentzian quantum gravity on dynamical lattices. We describe the essential ingredients of this formulation, and how it has allowed us to move away from formal considerations in quantum gravity to extracting quantitative results on the spectra of diffeomorphism-invariant quantum observables, describing physics near the Planck scale. Key results to date are the emergence of a de Sitter-like quantum universe and the discovery of an anomalous spectral dimension at short distances.

[ { "created": "Wed, 17 Jan 2024 18:29:16 GMT", "version": "v1" } ]

2024-01-18

[ [ "Ambjørn", "J.", "" ], [ "Loll", "R.", "" ] ]

A powerful strategy to treat quantum field theories beyond perturbation theory is by putting them on a lattice. However, the dynamical and symmetry structure of general relativity have for a long time stood in the way of a well-defined lattice formulation of quantum gravity. These issues are resolved by using Causal Dynamical Triangulations (CDT) to implement a nonperturbative, background-independent path integral for Lorentzian quantum gravity on dynamical lattices. We describe the essential ingredients of this formulation, and how it has allowed us to move away from formal considerations in quantum gravity to extracting quantitative results on the spectra of diffeomorphism-invariant quantum observables, describing physics near the Planck scale. Key results to date are the emergence of a de Sitter-like quantum universe and the discovery of an anomalous spectral dimension at short distances.

8.067523

7.701422

7.932838

7.540279

8.076353

8.15998

7.857167

7.568657

7.42394

8.788363

7.443449

7.301489

7.208052

7.347166

7.277275

7.533172

7.440954

7.315228

7.419251

7.290391

7.202765

0706.1224

Vincent Rivasseau

V. Rivasseau

Constructive Matrix Theory

12 pages, 3 figures

JHEP 0709:008,2007

10.1088/1126-6708/2007/09/008

null

hep-th

null

We extend the technique of constructive expansions to compute the connected functions of matrix models in a uniform way as the size of the matrix increases. This provides the main missing ingredient for a non-perturbative construction of the $\phi^{\star 4}_4$ field theory on the Moyal four dimensional space.

[ { "created": "Fri, 8 Jun 2007 18:12:15 GMT", "version": "v1" } ]

2009-11-18

[ [ "Rivasseau", "V.", "" ] ]

We extend the technique of constructive expansions to compute the connected functions of matrix models in a uniform way as the size of the matrix increases. This provides the main missing ingredient for a non-perturbative construction of the $\phi^{\star 4}_4$ field theory on the Moyal four dimensional space.

14.847229

14.534389

16.938879

13.690763

15.412557

12.751077

14.738485

13.517316

15.05737

16.293169

14.989848

12.459806

13.64198

12.750672

14.553228

14.137507

13.746052

13.892196

14.198252

14.572964

12.962356

1001.2808

George Savvidy K

George Savvidy

Topological mass generation in four-dimensional gauge theory

18 pages, Note added addressing the question of minimal number of derivarives in the cubic vertices for high spin fields, references added

Phys.Lett.B694:65-73,2010

10.1016/j.physletb.2010.09.036

NRCPS-HE-10-01

hep-th

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

The Lagrangian of non-Abelian tensor gauge fields describes the interaction of the Yang-Mills and massless tensor bosons of increasing helicities. We have found a metric-independent gauge invariant density which is a four-dimensional analog of the Chern-Simons density. The Lagrangian augmented by this Chern-Simons-like invariant describes massive Yang-Mills boson, providing a gauge-invariant mass gap for a four-dimensional gauge field theory. We present invariant densities which can provide masses to the high rank tensor bosons.

[ { "created": "Sat, 16 Jan 2010 12:43:21 GMT", "version": "v1" }, { "created": "Fri, 12 Nov 2010 14:50:31 GMT", "version": "v2" }, { "created": "Sun, 25 Oct 2020 13:49:41 GMT", "version": "v3" } ]

2020-10-27

[ [ "Savvidy", "George", "" ] ]

The Lagrangian of non-Abelian tensor gauge fields describes the interaction of the Yang-Mills and massless tensor bosons of increasing helicities. We have found a metric-independent gauge invariant density which is a four-dimensional analog of the Chern-Simons density. The Lagrangian augmented by this Chern-Simons-like invariant describes massive Yang-Mills boson, providing a gauge-invariant mass gap for a four-dimensional gauge field theory. We present invariant densities which can provide masses to the high rank tensor bosons.

13.331289

10.731758

14.367953

11.543763

12.264903

10.469534

11.765389

11.175903

11.222822

14.815589

11.264247

11.990757

13.207757

12.331779

12.270718

12.212858

12.343251

12.231739

12.063421

12.790046

12.076346

hep-th/9503138

Margaret Gabler

L.C. Biedenharn and L.P. Horwitz

Quarks in the Skyrme-'t Hooft-Witten Model

Latex, 6 pages, no figures

Z.Phys. C65 (1995) 551-554

10.1007/BF01556143

IASSNS-HEP 95/20

hep-th

null

The three-flavor Skyrme-'t Hooft-Witten model is interpreted in terms of a quark-like substructure, leading to a new model of explicitly confined color-free ``quarks'' reminiscent of Gell-Mann's original pre-color quarks, but with unexpected and significant differences.

[ { "created": "Tue, 21 Mar 1995 14:27:46 GMT", "version": "v1" } ]

2009-10-28

[ [ "Biedenharn", "L. C.", "" ], [ "Horwitz", "L. P.", "" ] ]

The three-flavor Skyrme-'t Hooft-Witten model is interpreted in terms of a quark-like substructure, leading to a new model of explicitly confined color-free ``quarks'' reminiscent of Gell-Mann's original pre-color quarks, but with unexpected and significant differences.

22.194122

19.586521

17.94537

18.912695

21.409891

20.83761

20.848743

19.339586

20.792034

21.921213

18.580412

19.021446

19.258591

18.708046

19.785788

19.295074

19.366579

19.24897

19.249489

19.794046

19.858805

2008.02187

Andrei Kovtun

A. Kovtun, M. Zantedeschi

Breaking BEC: Quantum evolution of unstable condensates

null

Physical Review D 105, 085019 (2022)

10.1103/PhysRevD.105.085019

null

hep-th

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

In this work we numerically explore the quantum behavior of a classically unstable relativistic Bose-Einstein condensate (BEC). The main goal is to study the phenomenon of so-called quantum break time which amounts to a significant departure from a semiclassical mean-field description. It has been suggested previously that the existence of Lyapunov instability is crucial for a fast quantum breaking, chaos, and scrambling. In order to clarify the issue, we work within the 2-PI effective action formalism and introduce a simple and very widely applicable dynamical criterion for identifying the timescale of quantumbreaking. We indeed observe that the fast quantum break time is controlled by the Lyapunov exponent of the unstable BEC.

[ { "created": "Wed, 5 Aug 2020 15:21:32 GMT", "version": "v1" }, { "created": "Mon, 31 Aug 2020 10:18:08 GMT", "version": "v2" }, { "created": "Tue, 26 Apr 2022 10:18:04 GMT", "version": "v3" } ]

2022-04-27

[ [ "Kovtun", "A.", "" ], [ "Zantedeschi", "M.", "" ] ]

In this work we numerically explore the quantum behavior of a classically unstable relativistic Bose-Einstein condensate (BEC). The main goal is to study the phenomenon of so-called quantum break time which amounts to a significant departure from a semiclassical mean-field description. It has been suggested previously that the existence of Lyapunov instability is crucial for a fast quantum breaking, chaos, and scrambling. In order to clarify the issue, we work within the 2-PI effective action formalism and introduce a simple and very widely applicable dynamical criterion for identifying the timescale of quantumbreaking. We indeed observe that the fast quantum break time is controlled by the Lyapunov exponent of the unstable BEC.

12.919238

13.333623

12.440619

12.169662

11.396652

12.224235

12.542197

13.537077

12.078315

13.8699

11.771116

11.765764

11.923552

11.821331

11.821996

11.567724

11.729877

12.048007

11.745198

11.620399

11.911974

1204.6288

Yuho Sakatani

Masafumi Fukuma, Yuho Sakatani

Conformal higher-order viscoelastic fluid mechanics

26 pages; v2: minor corrections; v3: minor corrections, to appear in JHEP

JHEP 1206 (2012) 102

10.1007/JHEP06(2012)102

KUNS-2391; MISC-2012-08

hep-th cond-mat.stat-mech gr-qc nucl-th

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

We present a generally covariant formulation of conformal higher-order viscoelastic fluid mechanics with strain allowed to take arbitrarily large values. We give a general prescription to determine the dynamics of a relativistic viscoelastic fluid in a way consistent with the hypothesis of local thermodynamic equilibrium and the second law of thermodynamics. We then elaborately study the transient time scales at which the strain almost relaxes and becomes proportional to the gradients of velocity. We particularly show that a conformal second-order fluid with all possible parameters in the constitutive equations can be obtained without breaking the hypothesis of local thermodynamic equilibrium, if the conformal fluid is defined as the long time limit of a conformal second-order viscoelastic system. We also discuss how local thermodynamic equilibrium could be understood in the context of the fluid/gravity correspondence.

[ { "created": "Fri, 27 Apr 2012 18:40:48 GMT", "version": "v1" }, { "created": "Wed, 2 May 2012 08:50:39 GMT", "version": "v2" }, { "created": "Mon, 28 May 2012 06:50:12 GMT", "version": "v3" } ]

2012-06-27

[ [ "Fukuma", "Masafumi", "" ], [ "Sakatani", "Yuho", "" ] ]

We present a generally covariant formulation of conformal higher-order viscoelastic fluid mechanics with strain allowed to take arbitrarily large values. We give a general prescription to determine the dynamics of a relativistic viscoelastic fluid in a way consistent with the hypothesis of local thermodynamic equilibrium and the second law of thermodynamics. We then elaborately study the transient time scales at which the strain almost relaxes and becomes proportional to the gradients of velocity. We particularly show that a conformal second-order fluid with all possible parameters in the constitutive equations can be obtained without breaking the hypothesis of local thermodynamic equilibrium, if the conformal fluid is defined as the long time limit of a conformal second-order viscoelastic system. We also discuss how local thermodynamic equilibrium could be understood in the context of the fluid/gravity correspondence.

10.735743

10.797311

11.453951

11.098683

11.483318

12.234661

11.526064

11.111979

9.73179

12.062608

10.167865

10.507679

11.309531

10.517758

10.724946

10.398003

10.543138

10.572173

10.534693

11.329262

10.184622

0707.2455

Alberto Salvio

A. Salvio, M. Shaposhnikov

Chiral Asymmetry from a 5D Higgs Mechanism

30 pages, 5 figures, uses axodraw.sty. Extended version, matches the article published on JHEP

JHEP 0711:037,2007

10.1088/1126-6708/2007/11/037

null

hep-th hep-ph

null

An intriguing feature of the Standard Model is that the representations of the unbroken gauge symmetries are vector-like whereas those of the spontaneously broken gauge symmetries are chiral. Here we provide a toy model which shows that a natural explanation of this property could emerge in higher dimensional field theories and discuss the difficulties that arise in the attempt to construct a realistic theory. An interesting aspect of this type of models is that the 4D low energy effective theory is not generically gauge invariant. However, the non-invariant contributions to the observable quantities are very small, of the order of the square of the ratio between the light particle mass scale and the Kaluza-Klein mass scale. Remarkably, when we take the unbroken limit both the chiral asymmetry and the non-invariant terms disappear.

[ { "created": "Tue, 17 Jul 2007 09:53:56 GMT", "version": "v1" }, { "created": "Mon, 12 Nov 2007 14:00:30 GMT", "version": "v2" } ]

2009-04-30

[ [ "Salvio", "A.", "" ], [ "Shaposhnikov", "M.", "" ] ]

An intriguing feature of the Standard Model is that the representations of the unbroken gauge symmetries are vector-like whereas those of the spontaneously broken gauge symmetries are chiral. Here we provide a toy model which shows that a natural explanation of this property could emerge in higher dimensional field theories and discuss the difficulties that arise in the attempt to construct a realistic theory. An interesting aspect of this type of models is that the 4D low energy effective theory is not generically gauge invariant. However, the non-invariant contributions to the observable quantities are very small, of the order of the square of the ratio between the light particle mass scale and the Kaluza-Klein mass scale. Remarkably, when we take the unbroken limit both the chiral asymmetry and the non-invariant terms disappear.

7.980691

7.388003

7.821902

7.339022

7.988064

7.682047

7.356207

7.809326

7.389898

8.143868

7.894612

7.60837

7.529251

7.454165

7.457508

7.644767

7.547451

7.546595

7.525369

7.650433

7.257205

2107.07525

Luca Cassia

Luca Cassia and Maxim Zabzine

On refined Chern-Simons and refined ABJ matrix models

v2: 30 pages, minor revisions, added comments on relations to quantum mirror curves in Section 2.5, added comments on ABJ integrals in Appendix C, Lett.Math.Phys. version

null

10.1007/s11005-022-01518-1

UUITP-32/21

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

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

We consider the matrix model of $U(N)$ refined Chern-Simons theory on $S^3$ for the unknot. We derive a $q$-difference operator whose insertion in the matrix integral reproduces an infinite set of Ward identities which we interpret as $q$-Virasoro constraints. The constraints are rewritten as difference equations for the generating function of Wilson loop expectation values which we solve as a recursion for the correlators of the model. The solution is repackaged in the form of superintegrability formulas for Macdonald polynomials. Additionally, we derive an equivalent $q$-difference operator for a similar refinement of ABJ theory and show that the corresponding $q$-Virasoro constraints are equal to those of refined Chern-Simons for a gauge super-group $U(N|M)$. Our equations and solutions are manifestly symmetric under Langlands duality $q\leftrightarrow t^{-1}$ which correctly reproduces 3d Seiberg duality when $q$ is a specific root of unity.

[ { "created": "Thu, 15 Jul 2021 18:00:02 GMT", "version": "v1" }, { "created": "Tue, 1 Mar 2022 10:51:50 GMT", "version": "v2" } ]

2022-03-23

[ [ "Cassia", "Luca", "" ], [ "Zabzine", "Maxim", "" ] ]

We consider the matrix model of $U(N)$ refined Chern-Simons theory on $S^3$ for the unknot. We derive a $q$-difference operator whose insertion in the matrix integral reproduces an infinite set of Ward identities which we interpret as $q$-Virasoro constraints. The constraints are rewritten as difference equations for the generating function of Wilson loop expectation values which we solve as a recursion for the correlators of the model. The solution is repackaged in the form of superintegrability formulas for Macdonald polynomials. Additionally, we derive an equivalent $q$-difference operator for a similar refinement of ABJ theory and show that the corresponding $q$-Virasoro constraints are equal to those of refined Chern-Simons for a gauge super-group $U(N|M)$. Our equations and solutions are manifestly symmetric under Langlands duality $q\leftrightarrow t^{-1}$ which correctly reproduces 3d Seiberg duality when $q$ is a specific root of unity.

8.15561

8.453362

10.260516

7.735076

7.855306

8.071866

8.390501

7.891097

7.532165

10.141957

8.228291

7.952875

8.635718

7.943766

8.16326

8.328892

8.130109

7.91513

7.766367

8.357845

7.904963

1603.06411

Ljubica Davidovic

Ljubica Davidovi\'c

Open string T-duality in a weakly curved background

null

The European Physical Journal C (2016) 76:660

10.1140/epjc/s10052-016-4524-8

null

hep-th

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

We consider a theory of an open string moving in a weakly curved background, composed of a constant metric and a linearly coordinate dependent Kalb-Ramond field with an infinitesimal field strength. We find its T-dual using the generalized Buscher procedure developed for the closed string moving in a weakly curved background, and the fact that solving the boundary conditions, the open string theory transforms to the effective closed string theory. So, T-dualizing the effective theory along all effective directions we obtain its T-dual theory and resume the open sting theory which has such an effective theory. In this way we obtain the open string theory T-dual.

[ { "created": "Mon, 21 Mar 2016 12:41:58 GMT", "version": "v1" }, { "created": "Mon, 24 Apr 2017 12:05:33 GMT", "version": "v2" } ]

2017-04-25

[ [ "Davidović", "Ljubica", "" ] ]

We consider a theory of an open string moving in a weakly curved background, composed of a constant metric and a linearly coordinate dependent Kalb-Ramond field with an infinitesimal field strength. We find its T-dual using the generalized Buscher procedure developed for the closed string moving in a weakly curved background, and the fact that solving the boundary conditions, the open string theory transforms to the effective closed string theory. So, T-dualizing the effective theory along all effective directions we obtain its T-dual theory and resume the open sting theory which has such an effective theory. In this way we obtain the open string theory T-dual.

11.600126

10.917106

12.919823

10.704165

12.884777

12.128577

11.685205

11.799776

11.266393

12.891451

10.861796

10.943962

11.787645

10.997867

11.441507

11.24315

10.986605

11.081241

10.988997

11.792613

10.722939

hep-th/0608065

Sunandan Gangopadhyay

Biswajit Chakraborty, Sunandan Gangopadhyay, Arindam Ghosh Hazra

Normal ordering and noncommutativity in open bosonic strings

10 pages latex, references added

Phys.Rev.D74:105011,2006

10.1103/PhysRevD.74.105011

null

hep-th

null

Noncommutativity in an open bosonic string moving in the presence of a background Neveu-Schwarz two-form field $B_{\mu \nu}$ is investigated in a conformal field theory approach, leading to noncommutativity at the boundaries. In contrast to several discussions, in which boundary conditions are taken as Dirac constraints, we first obtain the mode algebra by using the newly proposed normal ordering, which satisfies both equations of motion and boundary conditions. Using these the commutator among the string coordinates is obtained. Interestingly, this new normal ordering yields the same algebra between the modes as the one satisfying only the equations of motion. In this approach, we find that noncommutativity originates more transparently and our results match with the existing results in the literature.

[ { "created": "Thu, 10 Aug 2006 06:05:25 GMT", "version": "v1" }, { "created": "Wed, 15 Nov 2006 11:30:39 GMT", "version": "v2" } ]

2008-11-26

[ [ "Chakraborty", "Biswajit", "" ], [ "Gangopadhyay", "Sunandan", "" ], [ "Hazra", "Arindam Ghosh", "" ] ]

Noncommutativity in an open bosonic string moving in the presence of a background Neveu-Schwarz two-form field $B_{\mu \nu}$ is investigated in a conformal field theory approach, leading to noncommutativity at the boundaries. In contrast to several discussions, in which boundary conditions are taken as Dirac constraints, we first obtain the mode algebra by using the newly proposed normal ordering, which satisfies both equations of motion and boundary conditions. Using these the commutator among the string coordinates is obtained. Interestingly, this new normal ordering yields the same algebra between the modes as the one satisfying only the equations of motion. In this approach, we find that noncommutativity originates more transparently and our results match with the existing results in the literature.

9.936723

8.343509

10.834437

9.422864

9.927085

7.583919

8.371414

8.035332

9.040714

11.035018

8.429733

9.401002

10.15941

9.39145

9.472414

9.369644

9.192737

9.165249

9.21515

9.545856

9.26527

1506.05792

William Donnelly

William Donnelly and Aron C. Wall

Geometric entropy and edge modes of the electromagnetic field

41 pages, an extended version of arXiv:1412.1895

Phys. Rev. D 94, 104053 (2016)

10.1103/PhysRevD.94.104053

null

hep-th gr-qc

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

We calculate the vacuum entanglement entropy of Maxwell theory in a class of curved spacetimes by Kaluza-Klein reduction of the theory onto a two-dimensional base manifold. Using two-dimensional duality, we express the geometric entropy of the electromagnetic field as the entropy of a tower of scalar fields, constant electric and magnetic fluxes, and a contact term, whose leading order divergence was discovered by Kabat. The complete contact term takes the form of one negative scalar degree of freedom confined to the entangling surface. We show that the geometric entropy agrees with a statistical definition of entanglement entropy that includes edge modes: classical solutions determined by their boundary values on the entangling surface. This resolves a longstanding puzzle about the statistical interpretation of the contact term in the entanglement entropy. We discuss the implications of this negative term for black hole thermodynamics and the renormalization of Newton's constant.

[ { "created": "Thu, 18 Jun 2015 19:55:55 GMT", "version": "v1" } ]

2016-11-29

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

We calculate the vacuum entanglement entropy of Maxwell theory in a class of curved spacetimes by Kaluza-Klein reduction of the theory onto a two-dimensional base manifold. Using two-dimensional duality, we express the geometric entropy of the electromagnetic field as the entropy of a tower of scalar fields, constant electric and magnetic fluxes, and a contact term, whose leading order divergence was discovered by Kabat. The complete contact term takes the form of one negative scalar degree of freedom confined to the entangling surface. We show that the geometric entropy agrees with a statistical definition of entanglement entropy that includes edge modes: classical solutions determined by their boundary values on the entangling surface. This resolves a longstanding puzzle about the statistical interpretation of the contact term in the entanglement entropy. We discuss the implications of this negative term for black hole thermodynamics and the renormalization of Newton's constant.

10.203432

10.852532

10.991355

10.183226

9.987167

9.428575

9.769825

10.637118

10.220571

12.669185

10.306626

10.419823

10.2455

9.874984

10.115205

10.080008

10.178709

10.452435

10.230988

10.765779

10.482655

hep-th/9912109

Axel Winterhalder

Michael Forger and Axel Winterhalder

New Approach to the Integrability of the Calogero Models

Latex2e, 44 pages, no figures

null

RT-MAP 99/07

hep-th

null

We develop a new, systematic approach towards studying the integrability of the ordinary Calogero-Moser-Sutherland models as well as the elliptic Calogero models associated with arbitrary (semi-)simple Lie algebras and with symmetric pairs of Lie algebras. It is based on the introduction of a function F, defined on the relevant root system and with values in the respective Cartan subalgebra, satisfying a certain set of combinatoric identities that ensure, in one stroke, the existence of a Lax representation and of a dynamical R-matrix, given by completely explicit formulas. It is shown that among the simple Lie algebras, only those belonging to the A-series admit such a function F, whereas the AIII-series of symmetric pairs of Lie algebras, corresponding to the complex Grassmannians SU(p,q)/S(U(p) x U(q)), allows non-trivial solutions when |p-q| <= 1. Apart from reproducing all presently known dynamical R-matrices for Calogero models, our approach provides new ones, namely for the ordinary models when |p-q| = 1 and for the elliptic models when |p-q| = 1 or p = q.

[ { "created": "Mon, 13 Dec 1999 20:22:20 GMT", "version": "v1" } ]

2007-05-23

[ [ "Forger", "Michael", "" ], [ "Winterhalder", "Axel", "" ] ]

We develop a new, systematic approach towards studying the integrability of the ordinary Calogero-Moser-Sutherland models as well as the elliptic Calogero models associated with arbitrary (semi-)simple Lie algebras and with symmetric pairs of Lie algebras. It is based on the introduction of a function F, defined on the relevant root system and with values in the respective Cartan subalgebra, satisfying a certain set of combinatoric identities that ensure, in one stroke, the existence of a Lax representation and of a dynamical R-matrix, given by completely explicit formulas. It is shown that among the simple Lie algebras, only those belonging to the A-series admit such a function F, whereas the AIII-series of symmetric pairs of Lie algebras, corresponding to the complex Grassmannians SU(p,q)/S(U(p) x U(q)), allows non-trivial solutions when |p-q| <= 1. Apart from reproducing all presently known dynamical R-matrices for Calogero models, our approach provides new ones, namely for the ordinary models when |p-q| = 1 and for the elliptic models when |p-q| = 1 or p = q.

6.139954

7.000323

6.991032

6.64792

6.685062

6.712989

6.925455

6.764102

6.204164

7.290003

6.563365

6.131968

6.26951

6.296103

6.205258

6.037729

6.084961

6.183778

6.022727

6.125198

5.987773

1003.2991

Debaprasad Maity

Jiunn-Wei Chen, Ying-Jer Kao, Debaprasad Maity, Wen-Yu Wen, Chen-Pin Yeh

Towards A Holographic Model of D-Wave Superconductors

14 pages, 2 figures, Some typos corrected, Matched with the published version

Phys.Rev.D81:106008,2010

10.1103/PhysRevD.81.106008

null

hep-th cond-mat.supr-con gr-qc hep-ph

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

The holographic model for S-wave high T_c superconductors developed by Hartnoll, Herzog and Horowitz is generalized to describe D-wave superconductors. The 3+1 dimensional gravitational theory consists a symmetric, traceless second-rank tensor field and a U(1) gauge field in the background of the AdS black hole. Below T_c the tensor field which carries the U(1) charge undergoes the Higgs mechanism and breaks the U(1) symmetry of the boundary theory spontaneously. The phase transition characterized by the D-wave condensate is second order with the mean field critical exponent beta = 1/2. As expected, the AC conductivity is isotropic below T_c and the system becomes superconducting in the DC limit but has no hard gap.

[ { "created": "Mon, 15 Mar 2010 18:58:44 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2010 16:03:48 GMT", "version": "v2" }, { "created": "Tue, 30 Mar 2010 11:15:09 GMT", "version": "v3" }, { "created": "Fri, 9 Apr 2010 12:46:00 GMT", "version": "v4" }, { "created": "Wed, 19 May 2010 10:15:52 GMT", "version": "v5" } ]

2015-03-13

[ [ "Chen", "Jiunn-Wei", "" ], [ "Kao", "Ying-Jer", "" ], [ "Maity", "Debaprasad", "" ], [ "Wen", "Wen-Yu", "" ], [ "Yeh", "Chen-Pin", "" ] ]

The holographic model for S-wave high T_c superconductors developed by Hartnoll, Herzog and Horowitz is generalized to describe D-wave superconductors. The 3+1 dimensional gravitational theory consists a symmetric, traceless second-rank tensor field and a U(1) gauge field in the background of the AdS black hole. Below T_c the tensor field which carries the U(1) charge undergoes the Higgs mechanism and breaks the U(1) symmetry of the boundary theory spontaneously. The phase transition characterized by the D-wave condensate is second order with the mean field critical exponent beta = 1/2. As expected, the AC conductivity is isotropic below T_c and the system becomes superconducting in the DC limit but has no hard gap.

7.036542

7.143569

7.323403

6.638337

6.547087

6.429963

6.778768

6.531157

6.152828

7.705799

6.272862

6.804218

6.745743

6.32935

6.341918

6.544162

6.242464

6.279694

6.38538

6.898048

6.385112

1702.02350

Arnab Priya Saha

Double Soft Limit of Graviton Amplitude from the Cachazo-He-Yuan Formalism

10 pages v2: Title changed, abstract modified, references updated, published in PRD

Phys. Rev. D 96, 045002 (2017)

10.1103/PhysRevD.96.045002

null

hep-th

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

We present a complete analysis for double soft limit of graviton scattering amplitude using the formalism proposed by Cachazo, He and Yuan. Our results agree with that obtained via BCFW recursion relations in arXiv:1504.05558. In addition we find precise relations between degenerate and nondegenerate solutions of scattering equations with local and nonlocal terms in the soft factor.

[ { "created": "Wed, 8 Feb 2017 10:04:29 GMT", "version": "v1" }, { "created": "Thu, 3 Aug 2017 12:24:39 GMT", "version": "v2" } ]

2017-08-04

[ [ "Saha", "Arnab Priya", "" ] ]

We present a complete analysis for double soft limit of graviton scattering amplitude using the formalism proposed by Cachazo, He and Yuan. Our results agree with that obtained via BCFW recursion relations in arXiv:1504.05558. In addition we find precise relations between degenerate and nondegenerate solutions of scattering equations with local and nonlocal terms in the soft factor.

10.419803

9.763494

10.932639

8.107441

8.353429

8.019696

8.157457

7.291087

7.822174

12.647857

7.680064

8.765488

8.901225

8.555171

8.466083

9.090231

8.588104

8.707595

8.665565

9.228107

8.781405

1703.09511

Danijel Pikuti\'c

Daniel Meljanac, Stjepan Meljanac, Danijel Pikuti\'c, Kumar S. Gupta

Twisted statistics and the structure of Lie-deformed Minkowski spaces

6 pages; version accepted for publication in Phys. Rev. D

Phys. Rev. D 96, 105008 (2017)

10.1103/PhysRevD.96.105008

null

hep-th

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

We show that the realizations of noncommutative coordinates that are linear in the Lorentz generators form a closed Lie algebra under certain conditions. The star product and the coproduct for the momentum generators are obtained for these Lie algebras and the corresponding twist satisfies the cocycle and normalization conditions. We also obtain the twisted flip operator and the $\mathcal R$-matrix that define the statistics of particles or quantum fields propagating in these noncommutative spacetimes. The Lie algebra obtained in this work contains a special case which has been used in the literature to put bounds on noncommutative parameters from the experimental limits on Pauli forbidden transitions. The general covariant framework presented here is suitable for analyzing the properties of particles or quantum fields at the Planck scale.

[ { "created": "Tue, 28 Mar 2017 11:33:05 GMT", "version": "v1" }, { "created": "Fri, 10 Nov 2017 11:11:19 GMT", "version": "v2" } ]

2017-11-15

[ [ "Meljanac", "Daniel", "" ], [ "Meljanac", "Stjepan", "" ], [ "Pikutić", "Danijel", "" ], [ "Gupta", "Kumar S.", "" ] ]

We show that the realizations of noncommutative coordinates that are linear in the Lorentz generators form a closed Lie algebra under certain conditions. The star product and the coproduct for the momentum generators are obtained for these Lie algebras and the corresponding twist satisfies the cocycle and normalization conditions. We also obtain the twisted flip operator and the $\mathcal R$-matrix that define the statistics of particles or quantum fields propagating in these noncommutative spacetimes. The Lie algebra obtained in this work contains a special case which has been used in the literature to put bounds on noncommutative parameters from the experimental limits on Pauli forbidden transitions. The general covariant framework presented here is suitable for analyzing the properties of particles or quantum fields at the Planck scale.

8.799388

8.164707

9.288792

8.254434

8.298095

8.131713

7.820607

8.37179

7.758471

9.843129

7.842704

8.147577

8.121004

8.010072

8.113207

8.237741

8.095353

8.008897

7.998156

8.307189

8.079796

1304.7760

Adam Bzowski

Adam Bzowski, Paul McFadden, Kostas Skenderis

Implications of conformal invariance in momentum space

62 pages + list of results (28 pages) + appendices; v3: journal version, v4: typos fixed, comments added

null

10.1007/JHEP03(2014)111

null

hep-th

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

We present a comprehensive analysis of the implications of conformal invariance for 3-point functions of the stress-energy tensor, conserved currents and scalar operators in general dimension and in momentum space. Our starting point is a novel and very effective decomposition of tensor correlators which reduces their computation to that of a number of scalar form factors. For example, the most general 3-point function of a conserved and traceless stress-energy tensor is determined by only five form factors. Dilatations and special conformal Ward identities then impose additional conditions on these form factors. The special conformal Ward identities become a set of first and second order differential equations, whose general solution is given in terms of integrals involving a product of three Bessel functions (`triple-K integrals'). All in all, the correlators are completely determined up to a number of constants, in agreement with well-known position space results. We develop systematic methods for explicitly evaluating the triple-K integrals. In odd dimensions they are given in terms of elementary functions while in even dimensions the results involve dilogarithms. In some cases, the triple-K integrals diverge and subtractions are necessary and we show how such subtractions are related to conformal anomalies. This paper contains two parts that can be read independently of each other. In the first part, we explain the method that leads to the solution for the correlators in terms of triple-K integrals and how to evaluate these integrals, while the second part contains a self-contained presentation of all results. Readers interested only in results may directly consult the second part of the paper.

[ { "created": "Mon, 29 Apr 2013 19:58:04 GMT", "version": "v1" }, { "created": "Wed, 3 Jul 2013 12:39:49 GMT", "version": "v2" }, { "created": "Sun, 26 Nov 2017 21:02:44 GMT", "version": "v3" }, { "created": "Sat, 29 Dec 2018 11:13:32 GMT", "version": "v4" } ]

2019-01-01

[ [ "Bzowski", "Adam", "" ], [ "McFadden", "Paul", "" ], [ "Skenderis", "Kostas", "" ] ]

We present a comprehensive analysis of the implications of conformal invariance for 3-point functions of the stress-energy tensor, conserved currents and scalar operators in general dimension and in momentum space. Our starting point is a novel and very effective decomposition of tensor correlators which reduces their computation to that of a number of scalar form factors. For example, the most general 3-point function of a conserved and traceless stress-energy tensor is determined by only five form factors. Dilatations and special conformal Ward identities then impose additional conditions on these form factors. The special conformal Ward identities become a set of first and second order differential equations, whose general solution is given in terms of integrals involving a product of three Bessel functions (`triple-K integrals'). All in all, the correlators are completely determined up to a number of constants, in agreement with well-known position space results. We develop systematic methods for explicitly evaluating the triple-K integrals. In odd dimensions they are given in terms of elementary functions while in even dimensions the results involve dilogarithms. In some cases, the triple-K integrals diverge and subtractions are necessary and we show how such subtractions are related to conformal anomalies. This paper contains two parts that can be read independently of each other. In the first part, we explain the method that leads to the solution for the correlators in terms of triple-K integrals and how to evaluate these integrals, while the second part contains a self-contained presentation of all results. Readers interested only in results may directly consult the second part of the paper.

6.125261

6.463385

7.002965

6.155899

6.647994

6.185239

6.839633

6.219335

6.624939

7.050325

6.48458

6.150317

6.019388

6.108195

6.020419

6.411646

6.103813

6.003615

5.92936

6.142114

6.067411

1906.08975

Zebin Qiu

Kenji Fukushima, Shota Imaki, Zebin Qiu

Anomalous Casimir effect in axion electrodynamics

8 pages, 2 figures; typos in Eqs.(30) and (A6) fixed; results unchanged; accepted in PRD

Phys. Rev. D 100, 045013 (2019)

10.1103/PhysRevD.100.045013

null

hep-th cond-mat.mes-hall hep-ph quant-ph

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

We study the Casimir effect in axion electrodynamics. A finite $\theta$-term affects the energy dispersion relation of photon if $\theta$ is time and/or space dependent. We focus on a special case with linearly inhomogeneous $\theta$ along the $z$-axis. Then we demonstrate that the Casimir force between two parallel plates perpendicular to the $z$-axis can be either attractive or repulsive, dependent on the gradient of $\theta$. We call this repulsive component in the Casimir force induced by inhomogeneous $\theta$ the anomalous Casimir effect.

[ { "created": "Fri, 21 Jun 2019 06:35:54 GMT", "version": "v1" }, { "created": "Thu, 8 Aug 2019 05:42:42 GMT", "version": "v2" } ]

2019-08-21

[ [ "Fukushima", "Kenji", "" ], [ "Imaki", "Shota", "" ], [ "Qiu", "Zebin", "" ] ]

We study the Casimir effect in axion electrodynamics. A finite $\theta$-term affects the energy dispersion relation of photon if $\theta$ is time and/or space dependent. We focus on a special case with linearly inhomogeneous $\theta$ along the $z$-axis. Then we demonstrate that the Casimir force between two parallel plates perpendicular to the $z$-axis can be either attractive or repulsive, dependent on the gradient of $\theta$. We call this repulsive component in the Casimir force induced by inhomogeneous $\theta$ the anomalous Casimir effect.

6.273261

5.951196

5.86777

5.82545

6.17454

6.040423

6.129807

5.780209

5.680214

6.828235

5.926145

5.78401

6.017757

5.822678

6.019194

5.803142

5.885504

5.892568

5.832094

6.044167

5.914675

1505.07421

Boris Altshuler

Boris L. Altshuler

Sakharov's induced gravity on the AdS background: SM scale as inverse mass parameter of the Schwinger-DeWitt expansion

26 pages, Latex; Contents and Section 5.4 added

Phys. Rev. D 92, 065007 (2015)

10.1103/PhysRevD.92.065007

null

hep-th

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

One loop quantum effective action W of scalar field 'living' on the AdS background of the Randall-Sundrum model is defined here by now popular way which excludes bulk UV divergencies; thus induced Planck mass is given not by the UV regularization parameter, like in Sakharov's pioneer work, but by the location of the UV-cut of AdS space. Resummation of Schwinger-DeWitt expansion of the action W is performed by the novel 'auxiliary mass' method. The inverse mass squared parameter of this expansion is determined by the location of the 'visible' IR-brane of the RS-model. Obtained expression for induced vacuum energy density coincides with the independently calculated VEV of the stress-energy tensor. Corresponding potential in 4 dimensions possesses a non-trivial extremum which hopefully will permit us to stabilize IR brane and hence to fix the observed small value of mass hierarchy in analogy with the Coleman-Weinberg mechanism. It is demonstrated that naive equating of values of the induced Planck mass and vacuum energy density to those of the RS-model determines otherwise arbitrary constants of the model. A principle of quantum self-consistency generalizing this approach is proposed.

[ { "created": "Wed, 27 May 2015 18:07:14 GMT", "version": "v1" }, { "created": "Mon, 6 Jul 2015 13:51:52 GMT", "version": "v2" }, { "created": "Sun, 11 Oct 2015 05:20:01 GMT", "version": "v3" } ]

2015-10-13

[ [ "Altshuler", "Boris L.", "" ] ]

One loop quantum effective action W of scalar field 'living' on the AdS background of the Randall-Sundrum model is defined here by now popular way which excludes bulk UV divergencies; thus induced Planck mass is given not by the UV regularization parameter, like in Sakharov's pioneer work, but by the location of the UV-cut of AdS space. Resummation of Schwinger-DeWitt expansion of the action W is performed by the novel 'auxiliary mass' method. The inverse mass squared parameter of this expansion is determined by the location of the 'visible' IR-brane of the RS-model. Obtained expression for induced vacuum energy density coincides with the independently calculated VEV of the stress-energy tensor. Corresponding potential in 4 dimensions possesses a non-trivial extremum which hopefully will permit us to stabilize IR brane and hence to fix the observed small value of mass hierarchy in analogy with the Coleman-Weinberg mechanism. It is demonstrated that naive equating of values of the induced Planck mass and vacuum energy density to those of the RS-model determines otherwise arbitrary constants of the model. A principle of quantum self-consistency generalizing this approach is proposed.

16.051765

17.255766

17.751997

16.156149

16.72937

17.513441

16.559555

17.046638

15.706439

19.673529

16.452696

15.884003

15.63267

15.601382

16.091114

15.800028

16.296402

15.698199

15.406664

15.823008

15.472603

hep-th/0109034

Yves Brihaye

Y. Brihaye, J. Burzlaff, V. Paturyan, D. H. Tchrakian

The 1-soliton in the SO(3) gauged Skyrme model with mass term

new title, typos corrected, LaTeX, 8 pages, 4 figures

Nonlinearity 15 (2002) 385-392

10.1088/0951-7715/15/2/308

null

hep-th

null

The solitons of the SO(3) gauged Skyrme model with no pion-mass potential were studied in Refs. {nl,jmp}. Here, the effects of the inclusion of this potential are studied. In contrast with the (ungauged) Skyrme model, where the effect of this potential on the solitons is marginal, here it turns out to be decisive, resulting in very different dependence of the energy as a function of the Skyrme coupling constant.

[ { "created": "Wed, 5 Sep 2001 07:56:20 GMT", "version": "v1" }, { "created": "Mon, 21 Jan 2002 08:02:13 GMT", "version": "v2" } ]

2009-11-07

[ [ "Brihaye", "Y.", "" ], [ "Burzlaff", "J.", "" ], [ "Paturyan", "V.", "" ], [ "Tchrakian", "D. H.", "" ] ]

The solitons of the SO(3) gauged Skyrme model with no pion-mass potential were studied in Refs. {nl,jmp}. Here, the effects of the inclusion of this potential are studied. In contrast with the (ungauged) Skyrme model, where the effect of this potential on the solitons is marginal, here it turns out to be decisive, resulting in very different dependence of the energy as a function of the Skyrme coupling constant.

8.767063

7.923697

8.111815

7.457081

7.885498

7.584658

7.690671

7.919955

7.858447

8.987795

7.560313

7.355813

7.659018

7.435655

7.502608

7.44381

7.603008

7.163403

7.333282

7.878129

7.508655

1711.07873

Roldao da Rocha

Luca Fabbri, Roldao da Rocha

Unveiling a spinor field classification with non-Abelian gauge symmetries

12 pages

Phys. Lett. B 780, 427 (2018)

10.1016/j.physletb.2018.03.029

null

hep-th math-ph math.MP

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

A spinor fields classification with non-Abelian gauge symmetries is introduced, generalizing the the U(1) gauge symmetries-based Lounesto's classification. Here, a more general classification, contrary to the Lounesto's one, encompasses spinor multiplets, corresponding to non-Abelian gauge fields. The particular case of SU(2) gauge symmetry, encompassing electroweak and electromagnetic conserved charges, is then implemented by a non-Abelian spinor classification, now involving 14 mixed classes of spinor doublets. A richer flagpole, dipole, and flag-dipole structure naturally descends from this general classification. The Lounesto's classification of spinors is shown to arise as a Pauli's singlet, into this more general classification.

[ { "created": "Tue, 21 Nov 2017 16:18:16 GMT", "version": "v1" }, { "created": "Sun, 25 Mar 2018 20:44:58 GMT", "version": "v2" } ]

2018-03-28

[ [ "Fabbri", "Luca", "" ], [ "da Rocha", "Roldao", "" ] ]

A spinor fields classification with non-Abelian gauge symmetries is introduced, generalizing the the U(1) gauge symmetries-based Lounesto's classification. Here, a more general classification, contrary to the Lounesto's one, encompasses spinor multiplets, corresponding to non-Abelian gauge fields. The particular case of SU(2) gauge symmetry, encompassing electroweak and electromagnetic conserved charges, is then implemented by a non-Abelian spinor classification, now involving 14 mixed classes of spinor doublets. A richer flagpole, dipole, and flag-dipole structure naturally descends from this general classification. The Lounesto's classification of spinors is shown to arise as a Pauli's singlet, into this more general classification.

12.257051

12.274735

13.02297

12.448665

13.481082

12.127528

13.733126

13.428077

12.656279

13.799572

12.214541

12.215901

12.459491

12.015686

11.632688

12.146194

12.446835

11.884395

12.156631

12.654387

11.74546

2402.18230

Jesse Huhtala

Jesse Huhtala, Iiro Vilja

Practical Derivations of Fermion and Gauge Boson Reduction Formulae in Curved Spacetimes

null

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

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

LSZ-type reduction formulae are derived for gauge fields and fermions in curved spacetime. The formulae are derived using a conserved current method applicable also to flat spacetimes. The method generalizes to more general quantum field theories. The formulae are then applied to a few problems to illustrate their use.

[ { "created": "Wed, 28 Feb 2024 10:53:17 GMT", "version": "v1" } ]

2024-02-29

[ [ "Huhtala", "Jesse", "" ], [ "Vilja", "Iiro", "" ] ]

LSZ-type reduction formulae are derived for gauge fields and fermions in curved spacetime. The formulae are derived using a conserved current method applicable also to flat spacetimes. The method generalizes to more general quantum field theories. The formulae are then applied to a few problems to illustrate their use.

12.043447

9.736693

10.176044

9.966342

10.166397

10.434848

9.815422

9.522293

9.96042

10.069861

9.415481

8.397243

9.359059

8.751238

8.817091

8.337334

8.342946

8.066153

8.940866

9.671559

8.607075

2001.04902

George Savvidy K

George Savvidy

Yang-Mills Classical and Quantum Mechanics and Maximally Chaotic Dynamical Systems

13 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2001.01785

null

NRCPS-HE-02-2020

hep-th astro-ph.GA hep-lat nlin.CD

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

The maximally chaotic dynamical systems (DS) are the systems which have nonzero Kolmogorov entropy. The Anosov C-condition defines a reach class of hyperbolic dynamical systems that have exponential instability of the phase trajectories and positive Kolmogorov entropy and are therefore maximally chaotic. The interest in Anosov-Kolmogorov systems is associated with the attempts to understand the relaxation phenomena, the foundation of the statistical mechanics, the appearance of turbulence in fluid dynamics, the non-linear dynamics of the Yang-Mills field, the N-body system in Newtonian gravity and the relaxation phenomena in stellar systems and the Black hole thermodynamics. The classical- and quantum-mechanical properties of maximally chaotic dynamical systems, the application of the C-K theory to the investigation of the Yang-Mills dynamics and gravitational systems as well as their application in the Monte Carlo method will be presented.

[ { "created": "Mon, 13 Jan 2020 08:31:55 GMT", "version": "v1" } ]

2020-01-15

[ [ "Savvidy", "George", "" ] ]

The maximally chaotic dynamical systems (DS) are the systems which have nonzero Kolmogorov entropy. The Anosov C-condition defines a reach class of hyperbolic dynamical systems that have exponential instability of the phase trajectories and positive Kolmogorov entropy and are therefore maximally chaotic. The interest in Anosov-Kolmogorov systems is associated with the attempts to understand the relaxation phenomena, the foundation of the statistical mechanics, the appearance of turbulence in fluid dynamics, the non-linear dynamics of the Yang-Mills field, the N-body system in Newtonian gravity and the relaxation phenomena in stellar systems and the Black hole thermodynamics. The classical- and quantum-mechanical properties of maximally chaotic dynamical systems, the application of the C-K theory to the investigation of the Yang-Mills dynamics and gravitational systems as well as their application in the Monte Carlo method will be presented.

10.51769

11.265891

11.059097

10.354565

11.169859

11.372421

11.203918

11.064301

10.348113

11.051582

10.524686

10.806023

9.959997

10.46028

10.330705

10.420821

10.747782

10.510412

10.768974

10.228084

10.10568

hep-th/0601064

Tianjun Li

Ching-Ming Chen, Tianjun Li, Dimitri V. Nanopoulos

Type IIA Pati-Salam Flux Vacua

RevTex4, 44 pages, 28 tables, references added, version to appear in NPB

Nucl.Phys.B740:79-104,2006

10.1016/j.nuclphysb.2006.01.039

ACT-01-06, MIFP-06-02

hep-th hep-ph

null

We show that for supersymmetric AdS vacua on Type IIA orientifolds with flux compactifications, the RR tadpole cancellation conditions can be completely relaxed, and then the four-dimensional N=1 supersymmetry conditions are the main constraints on consistent intersecting D6-brane model building. We construct two kinds of three-family Pati-Salam models. In the first kind of models, the suitable three-family SM fermion masses and mixings can be generated at the stringy tree level, and then the rank one problem for the SM fermion Yukawa matrices can be solved. In the second kind of models, only the third family of the SM fermions can obtain masses at tree level. In these models, the complex structure parameters can be determined by supersymmetric D6-brane configurations, and all the moduli may be stabilized. The initial gauge symmetries U(4)_C \times U(2)_L \times U(2)_R and U(4)_C \times USp(2)_L \times U(2)_R can be broken down to the SU(3)_C \times SU(2)_L \times U(1)_{B-L} \times U(1)_{I_{3R}} due to the Green-Schwarz mechanism and D6-brane splittings, and further down to the SM gauge symmetry around the string scale via the supersymmetry preserving Higgs mechanism. Comparing to the previous model building, we have less bidoublet Higgs fields. However, there generically exist some exotic particles.

[ { "created": "Tue, 10 Jan 2006 22:06:20 GMT", "version": "v1" }, { "created": "Mon, 30 Jan 2006 20:55:54 GMT", "version": "v2" } ]

2008-11-26

[ [ "Chen", "Ching-Ming", "" ], [ "Li", "Tianjun", "" ], [ "Nanopoulos", "Dimitri V.", "" ] ]

We show that for supersymmetric AdS vacua on Type IIA orientifolds with flux compactifications, the RR tadpole cancellation conditions can be completely relaxed, and then the four-dimensional N=1 supersymmetry conditions are the main constraints on consistent intersecting D6-brane model building. We construct two kinds of three-family Pati-Salam models. In the first kind of models, the suitable three-family SM fermion masses and mixings can be generated at the stringy tree level, and then the rank one problem for the SM fermion Yukawa matrices can be solved. In the second kind of models, only the third family of the SM fermions can obtain masses at tree level. In these models, the complex structure parameters can be determined by supersymmetric D6-brane configurations, and all the moduli may be stabilized. The initial gauge symmetries U(4)_C \times U(2)_L \times U(2)_R and U(4)_C \times USp(2)_L \times U(2)_R can be broken down to the SU(3)_C \times SU(2)_L \times U(1)_{B-L} \times U(1)_{I_{3R}} due to the Green-Schwarz mechanism and D6-brane splittings, and further down to the SM gauge symmetry around the string scale via the supersymmetry preserving Higgs mechanism. Comparing to the previous model building, we have less bidoublet Higgs fields. However, there generically exist some exotic particles.

5.407463

5.307128

5.825104

5.113148

5.253166

5.206748

5.371392

5.134943

4.999611

5.896425

5.330654

5.368569

5.5103

5.240124

5.343767

5.443454

5.328576

5.180984

5.264869

5.652829

5.367598

hep-th/0406091

Gonzalo A. Palma

Gonzalo A. Palma, Anne-Christine Davis (DAMTP, University of Cambridge)

Low Energy Branes, Effective Theory and Cosmology

19 pages, 4 figures

Phys.Rev. D70 (2004) 064021

10.1103/PhysRevD.70.064021

null

hep-th astro-ph hep-ph

null

The low energy regime of cosmological BPS-brane configurations with a bulk scalar field is studied. We construct a systematic method to obtain five-dimensional solutions to the full system of equations governing the geometry and dynamics of the bulk. This is done for an arbitrary bulk scalar field potential and taking into account the presence of matter on the branes. The method, valid in the low energy regime, is a linear expansion of the system about the static vacuum solution. Additionally, we develop a four-dimensional effective theory describing the evolution of the system. At the lowest order in the expansion, the effective theory is a bi-scalar tensor theory of gravity. One of the main features of this theory is that the scalar fields can be stabilized naturally without the introduction of additional mechanisms, allowing satisfactory agreement between the model and current observational constraints. The special case of the Randall-Sundrum model is discussed.

[ { "created": "Thu, 10 Jun 2004 14:51:29 GMT", "version": "v1" } ]

2016-09-06

[ [ "Palma", "Gonzalo A.", "", "DAMTP, University of\n Cambridge" ], [ "Davis", "Anne-Christine", "", "DAMTP, University of\n Cambridge" ] ]

The low energy regime of cosmological BPS-brane configurations with a bulk scalar field is studied. We construct a systematic method to obtain five-dimensional solutions to the full system of equations governing the geometry and dynamics of the bulk. This is done for an arbitrary bulk scalar field potential and taking into account the presence of matter on the branes. The method, valid in the low energy regime, is a linear expansion of the system about the static vacuum solution. Additionally, we develop a four-dimensional effective theory describing the evolution of the system. At the lowest order in the expansion, the effective theory is a bi-scalar tensor theory of gravity. One of the main features of this theory is that the scalar fields can be stabilized naturally without the introduction of additional mechanisms, allowing satisfactory agreement between the model and current observational constraints. The special case of the Randall-Sundrum model is discussed.

10.350622

9.373237

9.186768

9.616836

9.929417

9.970655

10.024464

9.476731

9.59403

10.370751

8.873252

9.626954

9.541207

10.01365

9.734146

9.999461

10.077623

9.971514

9.785528

9.495702

9.604027

hep-th/0408147

Ralph Blumenhagen

R. Blumenhagen, T. Weigand

Chiral Gepner Model Orientifolds

LaTeX, Contribution to the proceedings of the conference "SUSY 2004", Tsukuba, June 17-23, 2004

null

MPP-2004-96

hep-th

null

We summarize recent progress in constructing orientifolds of Gepner models, a phenomenologically interesting class of exactly solvable string compactifications with viable gauge groups and chiral matter.

[ { "created": "Thu, 19 Aug 2004 11:26:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Blumenhagen", "R.", "" ], [ "Weigand", "T.", "" ] ]

We summarize recent progress in constructing orientifolds of Gepner models, a phenomenologically interesting class of exactly solvable string compactifications with viable gauge groups and chiral matter.

11.908473

8.380856

10.815874

7.939989

8.541544

8.240799

7.96317

7.814833

7.954233

12.977957

8.996592

9.120395

10.074441

9.218648

9.275234

8.94107

9.736254

9.045597

8.894284

10.246716

9.005908

hep-th/9712039

Marco Matone

G. Bertoldi and M. Matone

Beta Function, C--Theorem and WDVV Equations in 4D N=2 SYM

6 pages, LaTeX, References added

Phys.Lett. B425 (1998) 104-106

10.1016/S0370-2693(98)00200-7

DFPD97/TH/55

hep-th hep-ph

null

We show that the exact $beta$--function of 4D N=2 SYM plays the role of the metric whose inverse satisfies the WDVV--like equations $\F_{ikl}\beta^{lm} \F_{mnj}=\F_{jkl}\beta^{lm}\F_{mni}$. The conjecture that the WDVV--like equations are equivalent to the identity involving the $u$--modulus and the prepotential $\F$, seen as a superconformal anomaly, sheds light on the recently considered c-theorem for the N=2 SYM field theories.

[ { "created": "Fri, 5 Dec 1997 00:46:49 GMT", "version": "v1" }, { "created": "Thu, 15 Jan 1998 12:56:46 GMT", "version": "v2" } ]

2009-10-30

[ [ "Bertoldi", "G.", "" ], [ "Matone", "M.", "" ] ]

We show that the exact $beta$--function of 4D N=2 SYM plays the role of the metric whose inverse satisfies the WDVV--like equations $\F_{ikl}\beta^{lm} \F_{mnj}=\F_{jkl}\beta^{lm}\F_{mni}$. The conjecture that the WDVV--like equations are equivalent to the identity involving the $u$--modulus and the prepotential $\F$, seen as a superconformal anomaly, sheds light on the recently considered c-theorem for the N=2 SYM field theories.

11.974801

12.682156

12.018308

11.795585

13.326565

13.788696

12.657624

12.041075

12.394921

16.332151

11.38581

10.559731

12.028892

11.56243

11.070065

11.462854

11.85584

11.086287

11.385644

12.06713

10.838597

hep-th/9509153

Ryu Sasaki

M.F. Mourad and R. Sasaki

Non-Linear Sigma Models on a Half Plane

25 pages, latex, no figures

Int.J.Mod.Phys. A11 (1996) 3127-3144

10.1142/S0217751X96001504

YITP-95-4

hep-th

null

In the context of integrable field theory with boundary, the integrable non-linear sigma models in two dimensions, for example, the $O(N)$, the principal chiral, the ${\rm CP}^{N-1}$ and the complex Grassmannian sigma models are discussed on a half plane. In contrast to the well known cases of sine-Gordon, non-linear Schr\"odinger and affine Toda field theories, these non-linear sigma models in two dimensions are not classically integrable if restricted on a half plane. It is shown that the infinite set of non-local charges characterising the integrability on the whole plane is not conserved for the free (Neumann) boundary condition. If we require that these non-local charges to be conserved, then the solutions become trivial.

[ { "created": "Wed, 27 Sep 1995 07:29:06 GMT", "version": "v1" } ]

2015-06-26

[ [ "Mourad", "M. F.", "" ], [ "Sasaki", "R.", "" ] ]

In the context of integrable field theory with boundary, the integrable non-linear sigma models in two dimensions, for example, the $O(N)$, the principal chiral, the ${\rm CP}^{N-1}$ and the complex Grassmannian sigma models are discussed on a half plane. In contrast to the well known cases of sine-Gordon, non-linear Schr\"odinger and affine Toda field theories, these non-linear sigma models in two dimensions are not classically integrable if restricted on a half plane. It is shown that the infinite set of non-local charges characterising the integrability on the whole plane is not conserved for the free (Neumann) boundary condition. If we require that these non-local charges to be conserved, then the solutions become trivial.

6.116482

6.252477

7.527351

6.16299

6.751028

6.182831

6.099835

6.168666

5.734482

7.502214

6.004124

5.717246

6.345211

5.951667

5.984401

5.936578

5.843822

5.818497

5.876884

5.943446

5.761293

hep-th/0211152

Yaron Antebi

Ofer Aharony, Yaron E. Antebi, Micha Berkooz, and Ram Fishman

"Holey Sheets" - Pfaffians and Subdeterminants as D-brane Operators in Large N Gauge Theories

39 pages, 10 figures, harvmac

JHEP 0212:069,2002

10.1088/1126-6708/2002/12/069

WIS/44/02-NOV-DPP

hep-th

null

In the AdS/CFT correspondence, wrapped D3-branes (such as "giant gravitons") on the string theory side of the correspondence have been identified with Pfaffian, determinant and subdeterminant operators on the field theory side. We substantiate this identification by showing that the presence of pairs of such operators in a correlation function of a large N gauge theory naturally leads to a modified 't Hooft expansion including also worldsheets with boundaries. This happens independently of supersymmetry or conformal invariance.

[ { "created": "Mon, 18 Nov 2002 12:04:41 GMT", "version": "v1" } ]

2009-11-07

[ [ "Aharony", "Ofer", "" ], [ "Antebi", "Yaron E.", "" ], [ "Berkooz", "Micha", "" ], [ "Fishman", "Ram", "" ] ]

In the AdS/CFT correspondence, wrapped D3-branes (such as "giant gravitons") on the string theory side of the correspondence have been identified with Pfaffian, determinant and subdeterminant operators on the field theory side. We substantiate this identification by showing that the presence of pairs of such operators in a correlation function of a large N gauge theory naturally leads to a modified 't Hooft expansion including also worldsheets with boundaries. This happens independently of supersymmetry or conformal invariance.

8.624984

7.888996

9.062767

7.995342

8.228718

7.448813

7.67327

7.704788

7.460764

10.286252

8.135221

8.045546

8.800363

8.130792

8.364877

7.944326

8.350588

8.476804

8.148488

8.674884

8.135015

1805.10360

Pablo Gonzalez

Pablo Gonz\'alez, Gonzalo A. Palma, Nelson Videla

Covariant evolution of perturbations during reheating in two-field inflation

null

10.1088/1475-7516/2018/12/001

null

hep-th

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

We develop a covariant method for studying the effects of a reheating phase on the primordial adiabatic and isocurvature perturbations in two-field models of inflation. To model the decay of the scalar fields into radiation at the end of inflation, we introduce a prescription in which radiation is treated as an additional effective scalar field, requiring us to extend the two-field setup into a three-field system. In this prescription, the coupling between radiation and the scalars can be interpreted covariantly in terms geometrical quantities that parametrize the evolution of a background trajectory in a three-field space. In order to obtain concrete results, we consider two scenarios characterized for having unsuppressed isocurvature fluctuations at the end of inflation: (1) canonical two-field inflation with the product exponential potential, which sources a large negative amount of non-gaussianity and, (2) two-field inflation with an ultra-light field, a model in which the isocurvature mode becomes approximately massless, and its interaction with the curvature perturbation persists during the entire period of inflation. In both cases we discuss how their predictions are modified by the coupling of the scalar fields to the radiation fluid.

[ { "created": "Fri, 25 May 2018 20:44:15 GMT", "version": "v1" } ]

2018-12-12

[ [ "González", "Pablo", "" ], [ "Palma", "Gonzalo A.", "" ], [ "Videla", "Nelson", "" ] ]

We develop a covariant method for studying the effects of a reheating phase on the primordial adiabatic and isocurvature perturbations in two-field models of inflation. To model the decay of the scalar fields into radiation at the end of inflation, we introduce a prescription in which radiation is treated as an additional effective scalar field, requiring us to extend the two-field setup into a three-field system. In this prescription, the coupling between radiation and the scalars can be interpreted covariantly in terms geometrical quantities that parametrize the evolution of a background trajectory in a three-field space. In order to obtain concrete results, we consider two scenarios characterized for having unsuppressed isocurvature fluctuations at the end of inflation: (1) canonical two-field inflation with the product exponential potential, which sources a large negative amount of non-gaussianity and, (2) two-field inflation with an ultra-light field, a model in which the isocurvature mode becomes approximately massless, and its interaction with the curvature perturbation persists during the entire period of inflation. In both cases we discuss how their predictions are modified by the coupling of the scalar fields to the radiation fluid.

7.963146

8.4123

8.165096

7.503179

7.821491

8.281745

7.99475

7.602484

7.64957

7.679478

7.962557

7.820501

7.916459

7.870476

7.991848

7.999645

8.096841

7.891958

7.689912

7.856831

7.734323

0909.3364

Chaiho Rim Prof

Hyeong-Chan Kim, Youngone Lee, Chaiho Rim

Braided Statistics from Abelian Twist in $\kappa$-Minkowski Spacetime

6pages, no figures

null

10.1142/S0217732310033311

null

hep-th

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

$\kappa$-deformed commutation relation between quantum operators is constructed via abelian twist deformation in $\kappa$-Minkowski spacetime. The commutation relation is written in terms of universal $R$-matrix satisfying braided statistics. The equal-time commutator function turns out to vanish in this framework.

[ { "created": "Fri, 18 Sep 2009 06:47:23 GMT", "version": "v1" } ]

2015-05-14

[ [ "Kim", "Hyeong-Chan", "" ], [ "Lee", "Youngone", "" ], [ "Rim", "Chaiho", "" ] ]

$\kappa$-deformed commutation relation between quantum operators is constructed via abelian twist deformation in $\kappa$-Minkowski spacetime. The commutation relation is written in terms of universal $R$-matrix satisfying braided statistics. The equal-time commutator function turns out to vanish in this framework.

14.732959

11.61301

11.495039

9.493737

9.678565

10.630712

9.987605

9.542474

9.229774

14.3624

9.259704

10.297146

10.482787

9.966734

10.562987

10.125269

9.361326

10.547977

9.865387

11.382115

10.353859

hep-th/9803174

Igor V. Volovich

I.V. Volovich

Large N Gauge Theories and Anti-de Sitter Bag Model

6 pages, Latex

null

SMI-08-1998

hep-th gr-qc hep-ph

null

Using a proposal of Maldacena one describes the large N limit of gauge theories in terms of supergravity solutions on anti-de Sitter space. From this point of view we discuss a possible scenario for quark confinement in gauge theory by describing hadrons as strongly curved universes. In particular an interpretation of black hole as a bag model in SQCD is discussed. One relates the mystery of curvature singularities in classical general relativity with the mystery of quark confinement. The AdS bag model is defined by computing the probe membrane action in supergravity background. It naturally implies the "Cheshire Cat bag" principle. The confining pressure in the MIT bag model is related with the cosmological constant in the AdS bag model. The Skyrme model is interpreted as an effective theory describing black holes.

[ { "created": "Fri, 20 Mar 1998 19:21:00 GMT", "version": "v1" }, { "created": "Sat, 21 Mar 1998 16:30:20 GMT", "version": "v2" } ]

2007-05-23

[ [ "Volovich", "I. V.", "" ] ]

Using a proposal of Maldacena one describes the large N limit of gauge theories in terms of supergravity solutions on anti-de Sitter space. From this point of view we discuss a possible scenario for quark confinement in gauge theory by describing hadrons as strongly curved universes. In particular an interpretation of black hole as a bag model in SQCD is discussed. One relates the mystery of curvature singularities in classical general relativity with the mystery of quark confinement. The AdS bag model is defined by computing the probe membrane action in supergravity background. It naturally implies the "Cheshire Cat bag" principle. The confining pressure in the MIT bag model is related with the cosmological constant in the AdS bag model. The Skyrme model is interpreted as an effective theory describing black holes.

13.270467

13.164085

13.318598

13.066874

13.142688

13.092978

13.344121

12.712735

13.524172

14.206485

13.295869

12.60529

12.388725

12.653174

13.146869

12.54602

13.044838

12.534969

12.24768

12.723089

12.611997

2001.06467

A. Yu. Petrov

M. Gomes, T. Mariz, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva

1/N Expansion for Horava-Lifshitz like four-fermion models

12 pages

Eur. Phys. J. C 80, 518 (2020)

10.1140/epjc/s10052-020-8100-x

null

hep-th

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

We study a class of four-fermion Gross-Neveu like models in four dimensions with critical exponents $z=2$ and $z=3$. The models with $z=2$ are known to be perturbatively nonrenormalizable but are shown to be renormalizable in the context of the $1/N$ expansion. We calculate explicitly the effective potential for these models.

[ { "created": "Fri, 17 Jan 2020 18:36:59 GMT", "version": "v1" } ]

2020-06-12

[ [ "Gomes", "M.", "" ], [ "Mariz", "T.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ], [ "da Silva", "A. J.", "" ] ]

We study a class of four-fermion Gross-Neveu like models in four dimensions with critical exponents $z=2$ and $z=3$. The models with $z=2$ are known to be perturbatively nonrenormalizable but are shown to be renormalizable in the context of the $1/N$ expansion. We calculate explicitly the effective potential for these models.

5.072219

4.107486

4.740532

4.427851

4.405454

4.059346

4.539352

3.914943

4.06482

4.885082

4.425931

4.301526

4.669718

4.421906

4.568647

4.176376

4.334265

4.34859

4.459233

4.614145

4.219841

1403.0436

Jon Chkareuli

J.L. Chkareuli

Photon and photino as Nambu-Goldstone zero modes in an emergent SUSY QED

23 pages, to appear in Eur. Phys. J. C 74 (2014) issue 6. arXiv admin note: substantial text overlap with arXiv:1305.6898

null

10.1140/epjc/s10052-014-2906-3

null

hep-th hep-ph

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

We argue that supersymmetry with its well known advantages, such as naturalness, grand unification and dark matter candidate seems to possess one more attractive feature: it may trigger, through its own spontaneous violation in the visible sector, a dynamical generation of gauge fields as massless Nambu-Goldstone modes during which physical Lorentz invariance itself is ultimately preserved. We consider the supersymmetric QED model extended by an arbitrary polynomial potential of massive vector superfield that breaks gauge invariance in the SUSY invariant phase. However, the requirement of vacuum stability in such class of models makes both supersymmetry and Lorentz invariance to become spontaneously broken. As a consequence, massless photino and photon appear as the corresponding Nambu-Goldstone zero modes in an emergent SUSY QED, and also a special gauge invariance is simultaneously generated. Due to this invariance all observable relativistically noninvariant effects appear to be completely cancelled out among themselves and physical Lorentz invariance is recovered. Nevertheless, such theories may have an inevitable observational evidence in terms of the goldstino-photino like state presented in the low-energy particle spectrum. Its study is of a special interest for this class of SUSY models that, apart from some indication of an emergence nature of QED and the Standard Model, may appreciably extend the scope of SUSY breaking physics being actively studied in recent years.

[ { "created": "Mon, 3 Mar 2014 14:02:48 GMT", "version": "v1" }, { "created": "Sun, 15 Jun 2014 23:22:01 GMT", "version": "v2" } ]

2015-06-18

[ [ "Chkareuli", "J. L.", "" ] ]

We argue that supersymmetry with its well known advantages, such as naturalness, grand unification and dark matter candidate seems to possess one more attractive feature: it may trigger, through its own spontaneous violation in the visible sector, a dynamical generation of gauge fields as massless Nambu-Goldstone modes during which physical Lorentz invariance itself is ultimately preserved. We consider the supersymmetric QED model extended by an arbitrary polynomial potential of massive vector superfield that breaks gauge invariance in the SUSY invariant phase. However, the requirement of vacuum stability in such class of models makes both supersymmetry and Lorentz invariance to become spontaneously broken. As a consequence, massless photino and photon appear as the corresponding Nambu-Goldstone zero modes in an emergent SUSY QED, and also a special gauge invariance is simultaneously generated. Due to this invariance all observable relativistically noninvariant effects appear to be completely cancelled out among themselves and physical Lorentz invariance is recovered. Nevertheless, such theories may have an inevitable observational evidence in terms of the goldstino-photino like state presented in the low-energy particle spectrum. Its study is of a special interest for this class of SUSY models that, apart from some indication of an emergence nature of QED and the Standard Model, may appreciably extend the scope of SUSY breaking physics being actively studied in recent years.

13.27409

14.246715

12.971915

12.483424

13.850182

14.136088

13.771208

13.886059

12.744876

14.502619

13.225451

13.16415

12.607715

12.887575

12.939734

13.154011

13.331656

13.177176

12.623383

12.97369

13.479021

hep-th/0012020

Don N. Page

Thermodynamics of Near-Extreme Black Holes

12 pages, Latex, submitted for the proceedings of JGRG10, the 10th meeting of the Japanese Society of General Relativity and Gravitation, Osaka, 2000 Sept. 11-14

null

Alberta Thy 13-00

hep-th gr-qc

null

The thermodynamics of nearly-extreme charged black holes depends upon the number of ground states at fixed large charge and upon the distribution of excited energy states. Here three possibilities are examined: (1) Ground state highly degenerate (as suggested by the large semiclassical Hawking entropy of an extreme Reissner-Nordstrom black hole), excited states not. (2) All energy levels highly degenerate, with macroscopic energy gaps between them. (3) All states nondegenerate (or with low degeneracy), separated by exponentially tiny energy gaps. I suggest that in our world with broken supersymmetry, this last possibility seems most plausible. An experiment is proposed to distinguish between these possibilities, but it would take a time that is here calculated to be more than about 10^837 years.

[ { "created": "Mon, 4 Dec 2000 17:59:56 GMT", "version": "v1" } ]

2007-05-23

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

The thermodynamics of nearly-extreme charged black holes depends upon the number of ground states at fixed large charge and upon the distribution of excited energy states. Here three possibilities are examined: (1) Ground state highly degenerate (as suggested by the large semiclassical Hawking entropy of an extreme Reissner-Nordstrom black hole), excited states not. (2) All energy levels highly degenerate, with macroscopic energy gaps between them. (3) All states nondegenerate (or with low degeneracy), separated by exponentially tiny energy gaps. I suggest that in our world with broken supersymmetry, this last possibility seems most plausible. An experiment is proposed to distinguish between these possibilities, but it would take a time that is here calculated to be more than about 10^837 years.

12.875739

14.448197

12.667384

12.286922

14.558475

13.981599

14.313296

12.385119

13.135308

13.722506

12.517283

12.648164

12.000981

11.901995

12.929357

12.045574

12.863849

12.272046

13.01285

12.256444

12.589927

hep-th/0606132

Matthias Schmidt

E. Fischer, G. Rudolph, M. Schmidt

A Lattice Gauge Model of Singular Marsden-Weinstein Reduction. Part I. Kinematics

27 pages, 6 figures

J.Geom.Phys. 57 (2007) 1193-1213

10.1016/j.geomphys.2006.09.008

null

hep-th math-ph math.MP

null

The simplest nontrivial toy model of a classical SU(3) lattice gauge theory is studied in the Hamiltonian approach. By means of singular symplectic reduction, the reduced phase space is constructed. Two equivalent descriptions of this space in terms of a symplectic covering as well as in terms of invariants are derived.

[ { "created": "Thu, 15 Jun 2006 08:21:32 GMT", "version": "v1" } ]

2009-11-11

[ [ "Fischer", "E.", "" ], [ "Rudolph", "G.", "" ], [ "Schmidt", "M.", "" ] ]

The simplest nontrivial toy model of a classical SU(3) lattice gauge theory is studied in the Hamiltonian approach. By means of singular symplectic reduction, the reduced phase space is constructed. Two equivalent descriptions of this space in terms of a symplectic covering as well as in terms of invariants are derived.

10.395623

8.797447

10.075109

8.898221

8.636177

9.586414

8.798272

9.3811

9.00376

10.258659

9.349358

8.977601

9.679945

9.682992

9.568006

8.838264

8.663065

9.205622

9.751223

9.100965

9.191915

1112.5371

Bernard de Wit

Nabamita Banerjee, Bernard de Wit and Stefanos Katmadas

The off-shell 4D/5D connection

35 pages; minor text changes and one more reference

null

10.1007/JHEP03(2012)061

ITP-UU-11/44; Nikhef-2011-031; CPHT-RR106.1211

hep-th

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

A systematic off-shell reduction scheme from five to four space-time dimensions is presented for supergravity theories with eight supercharges. It is applicable to theories with higher-derivative couplings and it is used to address a number of open questions regarding BPS black holes in five dimensions. Under this reduction the 5D Weyl multiplet becomes reducible and decomposes into the 4D Weyl multiplet and an extra Kaluza-Klein vector multiplet. The emergence of the pseudoscalar field of the latter multiplet and the emergence of the 4D R-symmetry group are subtle features of the reduction. The reduction scheme enables to determine how a 5D supersymmetric Lagrangian with higher-derivative couplings decomposes upon dimensional reduction into a variety of independent 4D supersymmetric invariants, without the need for imposing field equations. In this way we establish, for example, the existence of a new N=2 supersymmetric invariant that involves the square of the Ricci tensor. Finally we resolve the questions associated with the 5D Chern-Simons terms for spinning BPS black holes and their relation to the corresponding 4D black holes.

[ { "created": "Thu, 22 Dec 2011 16:34:44 GMT", "version": "v1" }, { "created": "Sat, 24 Mar 2012 17:38:15 GMT", "version": "v2" } ]

2015-06-03

[ [ "Banerjee", "Nabamita", "" ], [ "de Wit", "Bernard", "" ], [ "Katmadas", "Stefanos", "" ] ]

A systematic off-shell reduction scheme from five to four space-time dimensions is presented for supergravity theories with eight supercharges. It is applicable to theories with higher-derivative couplings and it is used to address a number of open questions regarding BPS black holes in five dimensions. Under this reduction the 5D Weyl multiplet becomes reducible and decomposes into the 4D Weyl multiplet and an extra Kaluza-Klein vector multiplet. The emergence of the pseudoscalar field of the latter multiplet and the emergence of the 4D R-symmetry group are subtle features of the reduction. The reduction scheme enables to determine how a 5D supersymmetric Lagrangian with higher-derivative couplings decomposes upon dimensional reduction into a variety of independent 4D supersymmetric invariants, without the need for imposing field equations. In this way we establish, for example, the existence of a new N=2 supersymmetric invariant that involves the square of the Ricci tensor. Finally we resolve the questions associated with the 5D Chern-Simons terms for spinning BPS black holes and their relation to the corresponding 4D black holes.

6.33657

5.824115

7.475949

5.965696

5.938581

5.846775

5.940094

5.917173

6.211679

7.535693

5.815227

5.999691

6.392333

5.936393

5.963007

5.972818

6.078187

6.046307

6.002367

6.401375

5.903086

hep-th/0111025

Ren-Jie Zhang

C.P. Burgess, P. Martineau, F. Quevedo, G. Rajesh and R.-J. Zhang

Brane-Antibrane Inflation in Orbifold and Orientifold Models

30 pages, 2 figures. Substantial changes on version 1. New cosmological scenarios proposed including the dilaton as the inflaton. Main conclusions unchanged

JHEP 0203:052,2002

10.1088/1126-6708/2002/03/052

DAMTP-2001-97, EFI-0147, McGill-01/23

hep-th astro-ph hep-ph

null

We analyse the cosmological implications of brane-antibrane systems in string-theoretic orbifold and orientifold models. In a class of realistic models, consistency conditions require branes and antibranes to be stuck at different fixed points, and so their mutual attraction generates a potential for one of the radii of the underlying torus or the 4D string dilaton. Assuming that all other moduli have been fixed by string effects, we find that this potential leads naturally to a period of cosmic inflation with the radion or dilaton field as the inflaton. The slow-roll conditions are satisfied more generically than if the branes were free to move within the space. The appearance of tachyon fields at certain points in moduli space indicates the onset of phase transitions to different non-BPS brane systems, providing ways of ending inflation and reheating the corresponding observable brane universe. In each case we find relations between the inflationary parameters and the string scale to get the correct spectrum of density perturbations. In some examples the small numbers required as inputs are no smaller than 0.01, and are the same small quantities which are required to explain the gauge hierarchy.

[ { "created": "Mon, 5 Nov 2001 20:10:30 GMT", "version": "v1" }, { "created": "Tue, 20 Nov 2001 02:36:11 GMT", "version": "v2" }, { "created": "Tue, 5 Feb 2002 19:03:30 GMT", "version": "v3" } ]

2014-11-18

[ [ "Burgess", "C. P.", "" ], [ "Martineau", "P.", "" ], [ "Quevedo", "F.", "" ], [ "Rajesh", "G.", "" ], [ "Zhang", "R. -J.", "" ] ]

We analyse the cosmological implications of brane-antibrane systems in string-theoretic orbifold and orientifold models. In a class of realistic models, consistency conditions require branes and antibranes to be stuck at different fixed points, and so their mutual attraction generates a potential for one of the radii of the underlying torus or the 4D string dilaton. Assuming that all other moduli have been fixed by string effects, we find that this potential leads naturally to a period of cosmic inflation with the radion or dilaton field as the inflaton. The slow-roll conditions are satisfied more generically than if the branes were free to move within the space. The appearance of tachyon fields at certain points in moduli space indicates the onset of phase transitions to different non-BPS brane systems, providing ways of ending inflation and reheating the corresponding observable brane universe. In each case we find relations between the inflationary parameters and the string scale to get the correct spectrum of density perturbations. In some examples the small numbers required as inputs are no smaller than 0.01, and are the same small quantities which are required to explain the gauge hierarchy.

10.226147

10.678756

10.787468

9.972627

11.171531

11.824924

11.333627

10.847082

10.25988

11.313767

9.807125

9.715033

9.965874

9.628219

9.656283

9.945923

9.674005

9.845636

9.699883

10.130286

9.608168

hep-th/0004145

Rudra Prakash Malik

E. Harikumar (Univ. of Hyderabad), R. P. Malik (Bose Centre, Calcutta) and M. Sivakumar (Univ. of Hyderabad)

Hodge decomposition theorem for Abelian two form gauge theory

LaTeX, 18 pages, no figures, minor corrections, references updated, typos corrected, journal reference given

J.Phys.A33:7149-7164,2000

10.1088/0305-4470/33/40/312

null

hep-th

null

We show that the BRST/anti-BRST invariant 3+1 dimensional 2-form gauge theory has further nilpotent symmetries (dual BRST /anti-dual BRST) that leave the gauge fixing term invariant. The generator for the dual BRST symmetry is analogous to the co-exterior derivative of differential geometry. There exists a bosonic symmetry which keeps the ghost terms invariant and it turns out to be the analogue of the Laplacian operator. The Hodge duality operation is shown to correspond to a discrete symmetry in the theory. The generators of all these continuous symmetries are shown to obey the algebra of the de Rham cohomology operators of differential geometry. We derive the extended BRST algebra constituted by six conserved charges and discuss the Hodge decomposition theorem in the quantum Hilbert space of states.

[ { "created": "Thu, 20 Apr 2000 12:08:42 GMT", "version": "v1" }, { "created": "Mon, 11 Sep 2000 10:14:47 GMT", "version": "v2" }, { "created": "Thu, 19 Oct 2000 15:40:34 GMT", "version": "v3" } ]

2008-11-26

[ [ "Harikumar", "E.", "", "Univ. of Hyderabad" ], [ "Malik", "R. P.", "", "Bose Centre, Calcutta" ], [ "Sivakumar", "M.", "", "Univ. of Hyderabad" ] ]

We show that the BRST/anti-BRST invariant 3+1 dimensional 2-form gauge theory has further nilpotent symmetries (dual BRST /anti-dual BRST) that leave the gauge fixing term invariant. The generator for the dual BRST symmetry is analogous to the co-exterior derivative of differential geometry. There exists a bosonic symmetry which keeps the ghost terms invariant and it turns out to be the analogue of the Laplacian operator. The Hodge duality operation is shown to correspond to a discrete symmetry in the theory. The generators of all these continuous symmetries are shown to obey the algebra of the de Rham cohomology operators of differential geometry. We derive the extended BRST algebra constituted by six conserved charges and discuss the Hodge decomposition theorem in the quantum Hilbert space of states.

7.960747

6.156804

8.508194

6.422243

6.626116

6.002386

6.262289

6.164083

6.776952

8.974971

6.731994

7.167839

7.602898

7.124238

6.938479

7.174982

6.933209

6.830667

6.955901

7.490329

7.137754

1512.01554

Roy Ben-Israel

Roy Ben-Israel, Amit Giveon, Nissan Itzhaki, Lior Liram

On the Stringy Hartle-Hawking State

null

10.1007/JHEP03(2016)019

null

hep-th

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

We argue that non-perturbative $\alpha'$ stringy effects render the Hartle-Hawking state associated with the $SL(2)/U(1)$ eternal black hole singular at the horizon. We discuss implications of this observation on firewalls in string theory.

[ { "created": "Fri, 4 Dec 2015 21:00:06 GMT", "version": "v1" } ]

2016-03-23

[ [ "Ben-Israel", "Roy", "" ], [ "Giveon", "Amit", "" ], [ "Itzhaki", "Nissan", "" ], [ "Liram", "Lior", "" ] ]

We argue that non-perturbative $\alpha'$ stringy effects render the Hartle-Hawking state associated with the $SL(2)/U(1)$ eternal black hole singular at the horizon. We discuss implications of this observation on firewalls in string theory.

12.721489

10.101268

13.413543

9.535821

11.334447

10.123388

10.00634

9.909636

10.740954

15.086531

10.812086

10.574215

13.648418

10.167392

9.663893

10.211987

10.720638

11.103543

10.320117

13.350577

10.261374

hep-th/9501052

Douglas A. Singleton

Douglas Singleton

Exact Schwarzschild-Like Solution for Yang-Mills Theories

11 pages LaTeX

Phys.Rev.D51:5911-5914,1995

10.1103/PhysRevD.51.5911

null

hep-th

null

Drawing on the parallel between general relativity and Yang-Mills theory we obtain an exact Schwarzschild-like solution for SU(2) gauge fields coupled to a massless scalar field. Pushing the analogy further we speculate that this classical solution to the Yang-Mills equations shows confinement in the same way that particles become confined once they pass the event horizon of the Schwarzschild solution. Two special cases of the solution are considered.

[ { "created": "Fri, 13 Jan 1995 18:52:48 GMT", "version": "v1" } ]

2010-11-19

[ [ "Singleton", "Douglas", "" ] ]

Drawing on the parallel between general relativity and Yang-Mills theory we obtain an exact Schwarzschild-like solution for SU(2) gauge fields coupled to a massless scalar field. Pushing the analogy further we speculate that this classical solution to the Yang-Mills equations shows confinement in the same way that particles become confined once they pass the event horizon of the Schwarzschild solution. Two special cases of the solution are considered.

9.936769

9.776139

9.459611

8.805293

9.373496

10.356366

9.051009

8.783924

8.770369

9.477775

9.529496

9.424135

8.921441

8.7533

8.8216

8.90487

9.159161

8.778517

8.911273

8.855066

9.263194

hep-th/9304025

null

Frank De Jonghe

Schwinger--Dyson BRST symmetry and the Batalin--Vilkovisky Lagrangian Quantisation of Gauge Theories with Open or Reducible Gauge Algebras

10p, CERN-TH-6858/93, KUL-TF-93/13

J.Math.Phys. 35 (1994) 2734-2742

10.1063/1.530482

null

hep-th

null

In this short note we extend the results of Alfaro and Damgaard on the origin of antifields to theories with a gauge algebra that is open or reducible.

[ { "created": "Wed, 7 Apr 1993 15:46:44 GMT", "version": "v1" } ]

2009-10-22

[ [ "De Jonghe", "Frank", "" ] ]

In this short note we extend the results of Alfaro and Damgaard on the origin of antifields to theories with a gauge algebra that is open or reducible.

17.353453

15.1003

19.378405

14.408431

15.584155

16.419338

14.57582

14.257222

14.136506

23.798933

14.515328

12.998127

16.106556

14.554984

13.388899

12.788168

12.969726

13.484389

14.560995

14.799963

13.599672

hep-th/0501074

Heinrich Saller

The Hilbert spaces for stable and unstable particles

20 pages, macros includes

null

2005-2

hep-th

null

The Hilbert spaces for stable scattering states and particles are determined by the representations of the characterizing Euclidean and Poincar\'e group and given, respectively, by the square integrable functions on the momentum 2-spheres for a fixed absolute value of momentum and on the energy-momentum 3-hyperboloids for a particle mass. The Hilbert spaces for the corresponding unstable states and particles are not characterized by square integrable functions Their scalar products are defined by positive type functions for the cyclic representations of the time, space and spacetime translations involved. Those cyclic, but reducible translation representations are irreducible as representations of the corresponding affine operation groups which involve also the time, space and spacetime reflection group, characteristic for unstable structures.

[ { "created": "Tue, 11 Jan 2005 11:13:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Saller", "Heinrich", "" ] ]

The Hilbert spaces for stable scattering states and particles are determined by the representations of the characterizing Euclidean and Poincar\'e group and given, respectively, by the square integrable functions on the momentum 2-spheres for a fixed absolute value of momentum and on the energy-momentum 3-hyperboloids for a particle mass. The Hilbert spaces for the corresponding unstable states and particles are not characterized by square integrable functions Their scalar products are defined by positive type functions for the cyclic representations of the time, space and spacetime translations involved. Those cyclic, but reducible translation representations are irreducible as representations of the corresponding affine operation groups which involve also the time, space and spacetime reflection group, characteristic for unstable structures.

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